Maths-
General
Easy
Question
In a trail map, the equation
represents the Tamiami Trail. Choose the equation for a perpendicular trail.
![y equals negative 2 x plus 4](data:image/png;base64,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)
Hint:
- A trail map is used to aid in navigation. It is an open walk in which no edge is repeated.
The correct answer is: The given line is perpendicular.
- We have been given the trail map equation of y-axis in the question.
- We have to choose the equation for a perpendicular trail from the given four options.
Step 1 of 1:
We have given an equation ![y equals 1 half x plus 1](data:image/png;base64,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)
We have to find equation of line which is perpendicular to given line y = -2x + 4
Its slope is -2
The slope of given line is
.
Now, The product will be
.
So, The given line is perpendicular.
Related Questions to study
Maths-
After the first raffle drawing 497 tickets remain. After the second raffle drawing, 494 tickets remain. Assuming that the pattern continues, write an explicit formula for arithmetic sequence to represent the number of raffle tickets that remain after each drawing. How many tickets remain in the bag after the seventh raffle drawing?
After the first raffle drawing 497 tickets remain. After the second raffle drawing, 494 tickets remain. Assuming that the pattern continues, write an explicit formula for arithmetic sequence to represent the number of raffle tickets that remain after each drawing. How many tickets remain in the bag after the seventh raffle drawing?
Maths-General
Maths-
Use long division to rewrite each rational function, What are the asymptotes of f ? Sketch the graph.
![F left parenthesis x right parenthesis equals fraction numerator 2 x over denominator x plus 4 end fraction](data:image/png;base64,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)
Use long division to rewrite each rational function, What are the asymptotes of f ? Sketch the graph.
![F left parenthesis x right parenthesis equals fraction numerator 2 x over denominator x plus 4 end fraction](data:image/png;base64,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)
Maths-General
Maths-
In a trail map, the equation y =
represents the Tamiami Trail. Choose the equation for a perpendicular trail.
![y equals 1 half x plus 5](data:image/png;base64,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)
In a trail map, the equation y =
represents the Tamiami Trail. Choose the equation for a perpendicular trail.
![y equals 1 half x plus 5](data:image/png;base64,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)
Maths-General
Maths-
A city sets up 14 rows of chairs for an outdoor concert. Each row has 2 more rows than the row in front of it. Graph the sequence for the first 5 rows.
A city sets up 14 rows of chairs for an outdoor concert. Each row has 2 more rows than the row in front of it. Graph the sequence for the first 5 rows.
Maths-General
Maths-
Juanita is trying to determine the vertical and horizontal asymptotes for the graph of the function
. Describe and correct the error Juanita made in determining the vertical and horizontal asymptotes.
![](data:image/png;base64,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)
Juanita is trying to determine the vertical and horizontal asymptotes for the graph of the function
. Describe and correct the error Juanita made in determining the vertical and horizontal asymptotes.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMoAAACMCAYAAAA9ZDbZAAAgAElEQVR4nOy9+XMd15n39zmnu+8KECsBAgSJhTtFURIpidoXS6JkWbJsz/Z67NQ4k9RMpib1JvkHUpVKKu+vqUqlKjVVmWgmM2VJlm1ZtiRqo6iFoiiK4g7uJAgCBLEDFxd36+5z8sPpbjRAiouHokT5PqxbBHB7OX36POfZvs/zCK21pkpVqtIVSX7TA6hSlW4FqjJKlap0DVRllCpV6RqoyihVqtI1UJVRqlSla6DrYpQb6SD7tl7rZt/vZo79VnZw3ug5j19Pa41S6orn2Dfs7lWq0i1EIbMIIaLPlWgeo1yNaW/khvRtvdbNvt/NHPstLFBu+JxfjTEWUtVGqdKfLIVS5WpqF8Qkiq8Urutf9cLXy4m32rVu9v1u5thv9jzdSLrhc45Ga4UQAtu2kfLKMmOOUXyfYrF4xcF8WxdIlVG+ffe60fR1MIoQIKVESolS6orMEjGK4NqMmhs50d/Wa93s+93Msd+qjAI3eOwLGC9u3F+OIkbRgBJwpbForvz9dY3zW3qtm32/mzn2mz1PN5Ju9JxLPedyjnu/voqqxnyV/jQp4ImQWa4mraqMUqU/Ubo+8TQXRxGgxZXP19d//VvuWjf7fjdz7Dd7nm4k3eixCwEoUFexTUKaYxQdjuYKdCMDVt/Wa93s+93Msd/CAccbPecKEJKAWRRKK4QwCtblWGZeZP4qAuUrL/LH0rf1Wjf7fjdz7LeoQAFu3NhDx5UUAi3A1zqI1n/1OVUbpUp/8mSUqSuLrCqjVOlPmiIk8VVUuyqjVOlPkoyaZXQtrXVVolSpSlelBfkpl6NvFaPEI6VKGcBa+Lfw92tBeoZ0rbkGVfrTJKUUWmt830fdaoyitcayLKSUuK4LGMBm+H2VqnTjKNiEtQZ15bX1rcpwDHd/z/PQWiOlRAiBlBZK+fi+j2VZ18wwVcaq0jWR1iit0GjkVzihv1WMEqpXcdiz+V2gtfnd87xL1KnLqVYaLkmLq6pgVQpJ67nlobVG+SpAXl7++G8Vo4QMEtohU1NTzMzMkM1mqa+vR2uNbdvXZqdUpUmVrkTa5KOEnuGreb3mM8pNXlsCIylCNg53fEtKxicmePvttxkdHSaXm+HHP/4zNmzciHJdBIb7NQItJFqDFJiHxzy00KDjEkQTfReGYOchR0MdVQhjuSkdjsp4RQCkMJMqbu0Id5Xmk9Zmc9aBSLkconieMS+u4XMDR4cFCA0iWOAojS0kQkPSdthy9938+IfPUyoW2XfwMJ4WuEohUDhCYwmNkBYeEqUFSpnMNal9LAkJ22SvISVaWEhABAzgKx9P+yiMA0ErhYVAaB+hFcp3kYAFSARSCCoVD6UNc1bpu0HG66Wuas/GMhyvjRlunNARVFzX2CEYtctXChWoV7W1tWRrsuRzk9TV1ZGpqUEjkLaF1D5aeXg+jM/kqWtsMoaYFAgBnutxqPcgp86cQVgJ7ty0maVLO/A8HyECMBwCK7CBbCFRSqN8H+FIKp6LIyTa9+ntPcaJUyd59LHHqW1spOJ7WMK6YbNQpW+IhIjWeuht1Vp/JQN8Y1ujlALLsrAsCyElU1NT7Nq1i5GREcbGxjh8+DC2bXGur4/h4WFWrVxptCIh0YBtO0yMT7Bz506KxWIAQzBGWaVSYXR0lPxMns8++4zXXnuNQj7P57t3c/ZcH7Ozs5w+fYpCoYBSCs/3AIxbWhjpIaVkdrbA67//Pa+++msuDo8EjCWrToHvEMUrsVxJqnxjxrxS2qhCwjDMzMwM27Zto7Ozk5qaGsrlMvX1dfz2tddYtWoVHR0dKF+hfQ+hFU4iQaVS4cyZMzzsushsGgsBvksmk+H++++n4nmU3N/SP3CBilvh3XffpXZRDV0rVjA6Mc5f/OVfYEmJ8ueCmZ7yENL8fOLEcSYnJ0mn00hRjed8l0gIggQsosi8Ugr9FcrCdUkUcSOtlKACRqlUwnVd2tra6Orq4p133uGzzz7jjjvu4K233mL//v0MDA7wq1dfZXRsjEQiQalUZufOnXy570vGJ8bZ9dln7Nmzh1K5ZEYZxGK2bdvGu+++w223raehoZHbNtzGZ7t38+GHH7J+3Tpqa2txXQ/f8/B9H0/5CCGxLJup6SmOHOll/fr1NNTXg5CRBLwedECVbg2Kb36X0xiuKFHCzK8w+BdeLHTjxo8Jj4uXfblSPrJWGi01juNE8ZLVq1fzxhtvsGLFClavXo0QsHpVDxVfU9O4mFQ6DcDU1CSf7NzJwIVhzlwYwfUVyzuW0tO5nJrWFnyvTLlcJpvNsnzZcvr7z1MoFtl4+0Ze/fWrNNTXs+H220mlUpzr62Pbm28xcO48tTU1PPfCc6xdt5bTp09z/nw/K1asolKpkM/nTSC06vH6zlGodpn1qi8bWYhVYbkUGBbCSVzXZWpqikKxQF1DA7lcjsbGxihKLqVkYmKCbDZLMpmMmEgphWVZ+L4f1U+K47jCeyilmJ2d5dSpUziOQy6Xw3Vd7rzrTrTv4iHwZAKQeL5HS0sLf/M3f0Pf+UF+t+19fvJnf0lrcyO1NRmU8tEaGhoaeHrr05RdxfYdHzE+Ps7+/fuxbZtCscDsbJ6m5iaSySRtbW2kE0lsy8ZxzJTkpnPkcjkOHDjAxeFhPt+9m7ZlHTS3tqD9KxcKrNK3n8KQQtw+Wbj5x+mqEsX3fYaGhnjnnXeYmppieXcX5XKZ5557jkwmg+M4FAoFdu/eTUdHB3fddRdu4M0KGSPEboXBxBDWrDxFKpWiVCqxf/9+zp49y+OPP86ePXs4c+YMmzbdBUIghTQxF4z65zgO2aYmpnJ5spksTU2NNDY3oSplfN+nUinTd/Ysff397N27l5UrV3Lx4kUOHDjAo48+yhd793Lo4CFaWlupb2hg69atxm2sQVng+R6bN2+mu7Ob48dPMDExSXdPNzU1WWNbWRboqvr1XSITIvjqvJQrMopt21QqFd577z1GR0bYct997PlyL83NzWSz2Uhfz2az2LbN7t27WbNmDel0Gtd1I4kTqmVaG1VLCEGhUMAWkkqlEjHU1q1b6enpIZPJRFF4t+KCCNU3YQKNWqOUpra2lttvvx3bcXArLlJgcGEBc/f397Np0yYeeuQxTp8+zUMPP8z9D9xHTW0tqXQK3/ex7XAKBImEgy8UFbdCQ0MDLc0tSGkxNDTE+vXrWbRoERVfoZSPVdW/bmmKCwwVSBOD97q8qSDCrsAV12V29tKSqtPT0/yX//JfeO6553jiiSf4X/63/5WHHnqIjRs3Mj4+TkdHB2NjY1y8eJG33nqLX/ziFyxbtgzXdZmdneXEiRORtyjEarW0tNDT3Y32FbZtR54vgHK5TCqVMvYACik0Skg8kTBxFO2RwAXfQ9gJisrCdpL4bhnteyQtgVIeOojJJNM1lCoeUkpSwsL1K2aWbInn+4YhhcSWErfsooVCSxAKE4AUkkKpRDKVBsvCE6B9H3mDJEq1pOq10Y0uqYo0oqNSKjObz5NKJqmtraUmm42cVvH7faVEEULguhX27NnD2NgY/f3nOHzkMIVCgUwmw8GDB9mxYwd33303Y2NjrF69Gq01+Xwe13URQjA2Nsb7779PLpcDjHtVCMH999/Pso5lWELQ19dHLpeLpFcikcDzvEBV87GkxhcWvnDQCAQ+jnIR2sPToJ0sSglznFvBQmFJo38KaVOseEjLASGwfd/AW6REyblJ00pjB9MjLIHSAUDON/aXtGxcX6EkCNtm5YoVJGyriif7jpBmzlb5KmDkZRklNOpLpTKjo6NYlkWl4jI6MkqhUCCbzdLS0sLU1BR/+MMf2Lp1Kx0dHZRKJXzfx3EcZmdnaWho4L777qNUKmFZFp7noZRi9erVOI5NqVDgwIED9J8fgEAtCz0PSvlYlkQrD6SFJxwUhgGk8rEtge95aGkZcHQEclMIrdBKIyzLgN6EQGuwhDS2hdZIW5iaTirA9yjDQI4lUcpDSInnKZTSWHbC8I3yaWtvZ2lbG8lFtbd09Z8/dTJB+CB+4vvGdlaGWebU8Tm6pEj33IU0dXV1dHR00NTUxPe//31qa2t56523SSQSNDU10drayqlTp9i06S4cx8HzPEqlEkopkskkw8PD7Nu3j0KhMK8Icjabpauzk0TS4aGHHqJYLCOEMf5t2woMfh9pgVcp039+gHyxTGNzC80tLQHURmFpjcAHYYEM81QEUgYBzbiXTUo8ZSbH0gYvJgi+sxy0tFEILL+MYwlcBUiHiq8QloUtJb7nkUo41GTS1aDjd4EWhDWMx/Ty7/WqXq9CoUBtbS2JRAKASrmM67qcOHGCkZERKpUKg4ODdHZ2kU6nI2Pd8zxqampYt24dhUIh6kNRqRhDWUiJ9hQNDQ00N1tRfoAQ4Hkms9F2LPrOnOLIkSOMT+WYnpnlv/qbv2HVypVo30NqFTCKAT2GYw7/DxlF60Dd0qbiWcQoWiGkhW/YB1cpEtpD4CPsBJ4WKGEZMaY0tpQo38MPxlel7wbFsV5/FKNYlsXk5CS2bRsYh5Q4iQTDw8McO3aMdevWcvHiCAcPHqKpqRnf90mlUtHNmpubeeqpp+YNJjTctVJg2fi+j+97SGkHDGZULt/3Ub6ivX0pL7zwQyam8/xf//c/MTg4SE9PD9r3jZqFb0CO0oo8GaE/PHQiCCFQvsLTOoDoz0kUlEZLC8/3EbaD6/nYUlMpFNDSwU6m0Bojnj0v6KtxaxrEVbqUFjLJV7V/uCKjeJ5Hc3NzxCRSSmpra5mZmeHJJ56gvr6OickppJRMT09h2w6NjY1RgLFSqZibBJ6tkCqVSmCPmFwU850OUoAVrquwLDv6vrm5mZHxKTKpNHV1deZ4IQj/Kd9H+SCt+YDFeGBTaY0QVnSOxOC5Tp85zckzZ5mayrP12WehUmDH++9yYXiEhsZWHn78Mdo7Osy1lUb5HlJWGeVWp3mpShGDfPXxV8R6KaXYsmULTz31JJZlkU6nWdGzgqGhIZYtX05t7SK6urro7u5icPACjY0NZLPZYCAikh5xZKZlWUGilIl5WJZhIqU9nITFyMgI27d/QC43w8jIGCdPnkQpRW9vL04yQUdHR2CAxx5aSkSweD3Po1wuz4MlXNYvLgSu67Jz505e/dWr7Pz0U9xKmanJSYrFIq0trXy661M++WQnXmjsxfL4q/QdIP3VEmUhXVaixOElixYtQkqjEiml2HD7Bvbs2UM+n6eurg7P86I89s2bN+M4TnSNEPMVz4Ofsx1AIE3mFmGLMBgeGeKNN36PZTmcO3eOJUsacRIOX3yxlzs33002m8VXPpYwwUcpJJ5SkUuvP4jG33333QwMDLB06VKWL1+OtGxThFn7IIkwaY888jAVT3Hs+Cls26azczmti3+EsB1OnD7LxMQEYSVBpTUycC9Xjflbm0J7GAiCjabAxFcBXi9hlIW7pYGxmF3ZVz5r1qyhpqaGZDKJ55k8Dtu22bRpE01NTdGNIskRu07oYYj+ro3KZYLuZpCdnctpbGzkpZdeor29g/vu28Qvf/lLTp44waK6ej744AMefOBBFtVmTAVyTHailjLCle3Zs4cTJ06QyWTo7OwkmUzgeh5ai8CzoXAso0quWbOWQ73HOHHqLIlEkmQqRSrhMDE9gxCSRYsWmTRiIXBsGy+AyVytOWaVvv0UBhbDOEoc77WQrisfRSuNEpr29vZ5ao2UkiVLlkTYsDDKfrVhRk1ZhBmu1pr6hjrWrF3LgQO9vPDDH7Nq5RoeeOABbrv9DqxEirq6OlLpFAMDg+x4/13yuSkymRqefPoZOjo66OrqYvXq1bzzzjv84z/+Iz09PRQKBbZ/sJ2Tp84iBNx1+wYeuH8LjmOjfJ+Ek0BrTaVSQasEAug90svw8DCPP/EkyWSCSrmC9hWWvKHJBlX6FtAlateV0MPXc1HP8yIVK/w9kUhE2Km4EX1lipIxzW9CkJ/JceHCIAD5fIFkMsWTTz4BVoKKp1AYaeU4DulUmkqpYFKAISqaNz09jRCCVCoVqViWZZNKpQGFZZtMRs/zSSYdXM/g0mzLAgHn+8+z/YP3WbFyBWvWrgVhpKbveUhFZA9V6dalectTB1pJGFq4DKdcF6OIWJqsECKKwsN8TP+143KCY4RGCE3FrfDe++/ieRUeeOABPvroQ5566hGWtC3Gc10Qc0lT9fX1PPuDH2AJhUbgJNKUyyahq1wu09nZyf59+9i0aROWZfHggw+y5X5BwrEQQRYjPvT3n+PsmTNMTU1y5MgR1q/q5pVXXubQoUPcfe/9fPbZZ6y9bT0d7UuxLRu0f0tjpqo0nyKVK8Ysl1vDVw44XuaiYfGHUE9fmBkWSpVrM3ZV7C4icBsnePbZH5BJ1/GH379pshaFiAraWZYEpXFsGyeZMHEUIal4Ct/z8TyPrVu34rouAwMDlMtlamtrSSaTpKRt8t61Hxn1wyMjpFJpVq9axcjwMMuWLKa2to67774XrTWnTp+iq6fbnEeQx1CVKLc8xY35awk4xtDDHvnCQvTwpYlc8bB/mGce2ikLMxyvOlCkuYfwMTaKolLxcOwEIHBdDydhBwvTlCPSQkS59uE5IsByAbiuGzFqqCJGzyQEOqxAGQzC9Ty8WC68sVtC6WWe17JsbMcBNcfYNxLJWkUPX51uNHpYC4UACrMFhoaGSDoONTU1NNTVU1tbe4kzar5EuaRe0eXjD/H/F6b9Xrs3SBssuzkruKZFKpUghHBa9vw6w/N38nDBynmTmEwmo3MuJ9lEOF5zMrbj4ATwHMNwCpzE/JFqbcCUAuIF0qp0i9OcSJnn9bruyPw3QXOL8I9bjPFFfK0LOo4P+4/cu0q3DoUIDZhTvRb+HKdqMKBKf8I0Z8iHaerxdPU4VRmlSlWKqV3xIvFx+lYwylfhba7HFgj1yoVogDgiALjsbnG94wwpDvW5VY3kKl2bov2NMspC3fBy/18bBQjhWNmZeOmZMAU5OjpwY1+PDTO/9pMh3/eN++4K0IcqfTtpnvMp9n59dfk42TfOKDLAaIXu5bjr+Vp3aRFUaVFKRUwRgjBDpljorbueMS5EDof3CSfbcZyr9teo0reP4vtk5PXy1WU30W/M67UQUbywIF6cca62uENGiJdHCq/t+35UsCJc5PHqlNc6zvD8eGu88O9KK2zbqUqVW4mECGosBOtNXOoBi9M3JlHiKla4GONljawA3XstFB4X9n6MB0LnClaYRR9i0sJCF1cdJ3MxmTC3xvO8CPiZSCTQei6bskq3Ji0MK3yrvF5x8OTRo0c5dOgQnmcWnOf5X7n4LsdAcYSA67r4vs/58+fZs2dPVLkyhOCfPn2aZCp1bRIFEYEqvaCYd352lk8//TRKEKtC7m9dWug8uqleL9P3au5z2W+Dni0SyOdy7N71KeNjo9iWDDIfHaTlRHpk+BCe5zE5OTnPWDf2g2kMNDubZ/v27ew/sB/Xc/nkk52cHxwkmUzR39/H9vffJekkgk5fJilYa1PozqiBEKYnCwFSQn4mx8ED+/jwo48YHLyAJSVf7PmckydPYtsOvtKx5zXPWA1a3joUvq3QNrkcs3yNW6HgMpiY4C/BslImS3FsdJiJ8RFWruji+PGj7N+/j8Jskd6jJ8jlZuYGKyW5XI4PP/yQyclJcz0hsC2JJUAKzemTJ3j11V+xa9cu6uoaELZNX/95PF9x+sQx6mqyJBybzz7dxfTUNMNDwwwMDFKpuAgp8AGFwPVcpNbguZw81stvfvNrXn75Zfr6z1NTU0NTQx2nTh43kyukKZcUVhjU2lSSrPLKt5bm4H8GthQ5bbh8aOKm6ww6qH+ClKb1g+8zOTGB7/nU1NTw6a5P+fWvf8OOHTt45eVXKBaLkScsRC2fPXt2XnttpRRupUKhUODQoUNIaTId0+k0TU1NDF64gO/7TExOUF9Xx+jICC+/9DIfbN/BK6+8wv59+7FtidKmnx9CknASUc3jlStX8szTW0kmEtiOQzqdprGxkYtDFymVyqYUUog9I9wa5uRLlb7dpNUCiL26qYyiuZIKEnq7LNuiWCzi+T61tTXcvmED58+f57evvcbq1aupr68HTOWWgwcPsnfvXkZHR/niiy/Yu3cv+XwepXwSySTnzp0jl5thw4YNpl+jFKRTKfIzM2g0+Zk8lm3R09NDQ0MDv3r1V0znctx55x0IYeF7Pul0CqWMoe+5xjnQ3NxMR0cHiUTCVJdxXdLpNMViIfLKaaWrjVNuUYryUUIH0380cetaSaDm/Xa5I4QQSEugg0SompoapJD0dPeQSacpl32+9/jj1NTW4LllxsfH2blzJ6dPn+bixYt88MEHLF++nMWLF7No+TIKs3k++fhjEokEuZk8pXKJwmwBISSe51MqldFak0wmaW5uZtWqVezevYfbN2ygfelSHMfh6PFetr39LlppWhY38cNnv09TYz2VcjmoPGnhVuZg/BXXo1Quk0kkDCq5iiq+ZSgOiAx+iNQvP6i6E6eviVF0lOSkERGv6JhiIgVoo4RFu7LSipOnTlEql/E9TS43g/IXI6VFc3MzL7zwAhcuXGDbtm089dRTLFu2jIaGBjzPo1gsMp3LMTExweRUDk8pjhw5QqVSwfc9bNsyIxCS0dERBgcHSaVTzOTzKF9FTY9qa2vRGmprauYmUsyVQkqlU5GQlFKaqvlVz9ctTVrreQUmLhdH+XoCjhqECGv+gjKpVmbDFeArhR0kUSUTJoBXKpXo7z/Pzp2fcO8999Dbe5xduz5l1aoubFviOA5LlixBKUVNTQ0dHR20t7dTqVQQUpBMJvmrv/orCoUCf3hzGxdHhlnS1sbI2BiOkyCRSGDZFvn8DNu3f0CxWGTLli3s37ePBx96kK6eLnq6e+js6kEpjY3GDkopFYtFDh46SD4/w/59+1m3ehVSSBIJh1Q6FWwKOuT+Kt0CFFevQiaZ1+jqZkTmte8hHRslIaoGaVmgNAqNrzWOZaGUixAOtbW1eL7H6OgoK1es5NHHn+SDDz6iXHbxYuVWlVKk02nWr18fNBmq4PsKS9okk0mWL1+OUorNF0eYzs/Q1dnJp59+SnNzE67rsqh2ERNjE2SzdfzguR+QSmXY+emnQY/5oFdLYFYJFEKZWM7ExASz+VnWrFmD67mMjY0xPjFOJpNBmqb1JgBZjczfUhRucJeD2t8cRtEaz6vg+Yqp6RxlV5mYiBAgLFLpNHbWImE7lMtlli1bTiadwbYtXvjRCwjp8Gc/+TGlsk/CCWt/GfWnrq6ORx55JCrN70hp6nvFsFwPPvggWJLRkTGGhi7yzLPfJ5vNsv622/jtr3/DT/7sL1nc0oaUFt09PTiJBEr7pu6xk0ArjQwCjVIIli5dyo9+9ALCSuJpKBdmGRoa4o67NuEkHNwAH2RVEcS3FM3jBRFmsl4ekPu1MIplCRzLor+/jzfefJPxyRxC2ighqHiKBx54kK1PPI7SPpaUNDQ0cNddd1EuV9BK4ysPtNmlzc9zO7XWprCEqepndDmtPCwpolrH0nawHId8Ps/adWvpCvpO9nR3c8cddzA+Pk5La1uUUz8He9EBtEVjoYJq+SpyTZv2Dw5TE2MsaW1l5YqVQZBKVEsY3aJk3MHqivYJfF3GvJRoraivq6Wzs5PG5gLSTuJrcJWmfWk7WghGhofpPXoYULhehVK5zPbt25F2ErSFrwWWNCHA+IPFycRSAOUHTWCCHV4rPNfHtmy+2LMXiUaqErZtc+rUSS4Oj+J5xoD3AlvK157ptaJBBowCBjAnLJuKr9FYKK+Ck0hypLcX1XuMZDrDxjvuYFFtDVS1r1uOdJAqYVSwm6p6ga9M8K5YLFIul9Fl0x1LBVXkta+YLRa4eHEYrU2dLSEgN51HWAl8bYpN+KqCjBleQhB15rUC/JYlBcrzkFZYOELia+PhEtJicnoKlCJlK4QWKAWTkzNoYaG1QkhhzhUa1ze+OakV0ozWVG/RgLTxtMAS4EjFxNQUwkpSs2gRxWKRRbW1X8d0VulrIx15vK7m2v9aGMXzNalkipnZIhdHxpiczkUlhTSSZe1tJG6/jc7uTtrbWpBBZflyuUKmphZh25Rdj0QyhVY+WilsSyC0Bkz9Li0EQtpohClz6hvgo+d7WLZBCBfLFTxPkUqncGwLG5dcbgbbTmA5aaRlo9F4vo9jGzVPCFOmZh6jAEqDsJMgbWZmpvBLs9TWN+BrieUkIilaVcBuJYplqEZ/ETdPoghp4fqa9mWd/Nd/+99ExfLC/A3LsvC9EqCoraulUqzw0Ycfo5Rm6zPPoITASaXxtcaSCYTWKM/FkQEsJOEYNc4XWIkEfrlMIpGkWCwwOTmJtGxaW5dw7vwAX3yxlx/96AXSqRQzE9O8/+67rL1tI3fctRnX80EIUgKU75HQFlhmSuKMorWJ+IyOTeIk01RKZd7d9jbff+45GptaUSZzrBpwvIVIBPG9eM03IIrQ3xQIi5ASzzcLLJVKUVNTQyaTIZlMks1myWQyZqhBQ9HxsTGOHz9OU1MT5VKJYrGIUopSucRsYRbCivfAzEyO3t5eisVi1JkrfKhPPvmEV155hRdffJHf//731GRr6O/v58TJU0jL4vTpMwxeGGTx4mYmJifwfJ9yuUw+P2sQyJaBsSyEXQshyE1P8/LLL/PSSy+RSqWYnc3T29sLVNOAvxMUZbJevqbC18IoJlI9lw24MCkmhAiEfx8dG2U2P0tHRwfbtm3j9ddfp/9cH7977XdMTU5F8BCtIZeb4cOPPmJ6eto0WHXdoL+kpquri+eee46WxS3s2LEDATQ1NXH27Fncisvp06dpbGgkn8/z4ov/wvFjx/j888/Zu3cvnjeHEpg3QUHEff++/ezft58TJ0/iJBIsaWvj9JkzWLYp7K1iPVqqdGuS2RgvL1G+HtUrlmFo23bURyVkklANE2h832N6apRkrVsAACAASURBVNqoQEH/x/fff5/TfWfRUvLs978f7NgC1zWJUsVCEdd1KRQKICQErt3Vq1dzYWiIiclJmpqaSGcMyndyYhINzM7OkkgksG2b06dOMTwyiuM4PPP00ySTCcqVEsl01uisWoBvnmFycpKz5/poXbIEYdlIIVi0qI7zA4MUCgXsRApZDTh+R+gmpgLHIfCu60Zps2EPbwMqNCqaZVlUXBfLkiQSCdatW0epXOKzzz7jvvvuo66uDqU0lUqZY8ePcWD/fsbGxzh0+LDJiPRdKpUyUgqmp6fZ+cknHD3ay/Lly8lms1iWRalUNDCZYhHLsujoWEZ3dzd7v9hr7rl+PTpAC4+NjjE6OjYvOay/v5+ZmTxLO5YaKH6E7RJBLKeKXPkukA60lsvZml9TwHGukVC84n1YbSU+sBDFmUqlsG2bJUuWUFdbR21dHRvv2IjGQKiKxRJDF4a4ODxMfmaGCxcugHToLrvULEojMEUjNm/eTLFUZv/+/Tz62OOAkSRhg6NMJkMmnWbp0g4SySQbN240DVTR7N27l39+8V/Jz+ZZ2dPF//Sf/zN1i7J8/PHH5HLT+D7kZ2aMhNKa6dw0bsUlna3BV1WP161METDX9+dB7kP62quwLCwTNM9eUXONgUyZGI++vj6Ti24JpqdyNDU0gZAkU0lWrVpFTTbD4OAg69ato23p8qhFnpCmbFBbWzvNzYuNu7lSxnEcbNuJ9E7LspicmmJgcAAhCCSHQQgsbm5m86ZNeL5Py+JGUqlk5LbOz8wwMTXDbLHM0WNHSUjD5PHielX67tI3XqRbAJaUlMolBgcvsH37dtauW0vv8WPs2vUpXZ2dWJYknUqxcsVK0qkkX3zxBV1dXSzt6MRHYGkNXoXBgQGGLl7kyJHDUdtv13XJZI3HDWA6N82OHR8wMTHO5k2b2b9/P488/DDdXZ109/Tw3/asNCnBboVsKoHrlvnRj16gWKmw7e33OXzkKIubFzM5fpG6+vqoqou0rKp7+BamhUUmvjV1vUwLBwM6TCQTKKUYGRmhra2dRx5/nPc/2mGgKEphh0lRwsDpV6xYQSaTRmuN67oIy8L3XE6eOsWhQ4dpbGzkmWe2sHRpB9s/2EFtTQ1KKTKZDFOTU1hOiq1PPU1dQwM7duxgtjCLJmgZIUzHYse2UMrDtm1WrFiBtGzO9Q2QSmfYuHEDb287h+1YBpwZ1h6rMsp3lr4xRtHaJHhJy6K1dQnpdJqamhr+4i/+HCybn/z4J3hKBTAVD4lpElRfX8+TTz5FIpVCaR30mDf5Kg8/9BD33nsvTiJFJpNhYnKKoaEhHnroISzLYvny5Xz+xR5+8sijNC5upeL5dHZ2UltbS7lcxpYmeUxYEgkG4yVMkFQieOCBB7n3fihXjPRa0roEaVkoAgfGNzWZVfra6RtVvXRQOK6ltYWVq1YxWygYzJUlyDhptADfV6a0kDDVUSwpSKUzuL6PbUt8FXbrEiRSKZKZDEqZCOtMfobFixfT09ON1pq1t23gVF8fpXI5qO4oqanJorXCcYzbV/smBiSU8YBoEZSJUFCzqBbLdhgZHiaZynDnnXdh21bQmltHLfSMr8x4xb6rpIGgiA5Sm09YgmruGGHamwufkiXwpSDpSlKuOc63JEoGgMSFJ3/tD6CjrmsizAb+ihgKLGxNV1zYmm7htW9c1fbQCPY8j4TjMDMzg+d5xqVrm0QtUzpm4fwZsGPsV/RcoSDC/4QQzM7O4nkeNUFaryVNTMR2EmQymbnnEZdviW0mUEfX1cF1K0HFl9ra2qgLsvHOXf/c3Mg5vZn30oAnBUoIbB9sDVIZ0KnGzJUCLK0QeEymoSxt6sqS+pJEKEHJ0XiWxkHg4aOvIJJv6Ni1RgZVcqampjl18qRJ806lyGazJJNJOjo6aGhoiM75xiRKPCDpK0VNbe1lq9BLKeeKMAGXbDsmr2vBMUTwmdBV7XkerqdoaGyKQU6uPPlaXHo/rTWJRCJqzR0+x3dXdnw1iVCSBL8b5lAoYaSNLwS20tgabF8gFEgFFanxLU3FESg0OqiYcxNHbsYcqPbRX4PN++blzF8jhQMLIS1SWjds14h3LQ6LeIeV7T3Pi6ro/zEUH/P1VN3/rpEd7DdGPdWGOaRGAb4EJTS+ML+kPcNUWivKtqDigJYC2xStDfa7m+sMiVeHvBp9o4wS4r0i9UWrCB/2H12EYVfXECUQr27vOA7wx4vzeGHx8Dngehq93vokNFjB+lJo/IAptNBoFFJopNYoKangUFsGRylKjqJig68VCU+Q1EEHAulc04K9MWQKIyilmJ2djWpTx2N93xr3MMwtuPiiCwd5I3bqeF+TuJoUwv3h+vulhOeE0io+3j89ilVbDitRaU1CK2ytDWNIKEhjrwSyhoTWJEoedt7DkpKyI9E1f5x0/49SLpczdnIiETHHH6V6hfkjYTX4eNvsuZ01BEHOLR6BKUtkSVOqdGGb7ajCYkyNCaXAwv71oXiMM0/8YcJjwrYMYCRK2HM+PD4syRpWybcsOS/0Eb9nOIZ4RD88ZiHjxfuxhP+HzxjSwnHHoT0hM8eZLl4rzPf9SOqG1wqPvdy8ftXLjj/jwvv8cYxulr4Swjg6tCLhK1IVj0TFxZuaIlmziEpLDZ5VBukjLJ9MqcLgB3sY/PwIJdum64kHWXrvnfg3YLNZOA9xMghvY58oX1EozDI7O3tNaRJXZJRwgcQTrha+rEqlQjKZNAUZrLACS8hcAs/zsB0nsg/irRniqorjONHic4LjXdc15wdAynCBhy/bsqx5tkK8TUR4XshAobcqfB5zr/k9HsMKkAvtmngjISC4p8ay5uPW5r4LSh8F17UsK+rdEreL4swQzkccFxeVnQ3Oj8NlwnEvbHAUZ/aFP5tzZLSxxdXe6yZhbBANxg5BYPk+dtklf/Y8R3d8xOTR46x4+BE6f/afKFllKn6FrPKZPtDLzv/zRUYPn2U0afNIcwMdd98J9o0P2i7UUMLU30qlzMjwCIVCIVoTV+rKdlVGCRdsONnh4iyVSqaoXOwlLrQHhDDJWQt35tBz5Lpu9PdwISWTSUqlUrTQHMeJvgNTgzjsmBWOK260x3fYkPHCRRcu0jjDhBRKoHDRxRdefNzhtWFuAQPzpFDImAvHFI4zRFSHjBylHQQvKJSCwLw6U2HKQvhevoqBQgr/Hs6zeX5tUq4zmaCKpv+Vi+PqFDe/BZaQZC2HYwcO8d6//DvpkTFKU0U6n3ya5CIb27bwB4Y49OrvmT1wnAaVJLW8nXXrNph0ia/JmA/fSfg+Pc8jP5NndGwMz/NIJpNXVfWvan3GRZnWmnK5DBAt4Pgu6Lpu9J3jOOzfv5/9+/dfshg8z6NcLkfu4Uqlwh/+8Af27dsXHRvfyeNjCAtlx9XASqWC1joy0sNjgYixwwkLF0yI/QoZNZzMkKniHcAWql1h963w+R3Hibxp4TyFu3QymZw31nDBx6VXSK5riuudPXuWwcFBSqWSeUmxNOpwDmBOasYZOs5A8bkIzwlb9fX39zMxMfEfsAV10N4iyILGGPVKKxKWIOW51COYOH6coS/2k60oErkSJ9/cTt/2nWSFxMskue9Hz9J110ZT8+0G88nCcEO47gqFAqOjI+RyuXlSJD4XlyTwXelG4YnhJIeLItyNw53dsqyIOfL5PAMDA4F3yZ53fLhAwLR0C5ktn8/z+eefMzo6Gi3WkFniv1uWFSVexVUb27YjdS0uKUImDo+N7+L9/f0UCoXoOZLJZHReoVBgYGAgsgFChk4kEpeoKYVCkKcfHFepVOapp+G5tm3Pm7PQVgpVH8uyyOfzvPPOO7z00kv827/9G0eOHIkYPWSocrnM5ORkdO1QWsRtq7l3Mjff5jhIJJOMj4/zz//8z7z11lvRxnfdpMFSYCtlLPXARexbguUremhva0W5JbyJKfp37UVOFRj/4iDHfvs24uIEFeGyeMttrPnxM8xmE5TFjVa5iNQsAknvui6u65KbmWFsbCxSy80hl9qTcfpK1UsIQalUoq+vj4aGBurq6rg4NERDYyODg4Pk83k23n47xXKZwuxsFNw7dOgQO3fu5B/+4R9oamqmXC5TLBYZHh7m4tAQq1evpqmxiYH+85w5e5Zly5fh2A5oyGQyQShIMzExzpEjR6irq2fNmjVMTU1x/PhxkskEqVSaVCpFV1cXk5OTlEolKpUKiUSCdDoNmFrG4aLs7e2lu7ub4eERuru7mZ2d5bXXXuOJJ55gw4YNnDt3jr6+Pjo6Ouju7ubUqVO8++67/Pmf/zkrVqxgYGCAvr4+VqxYweLFBsIfSpG9e/dy7NgxnnrqKY4dO8ayZcuCthMeg4ODQVcuGylMRUvHcVizZjXNzYvnqZghaPPee++lUqnw4osvsm/fPjZt2hQFXQWmhd/nu3fzxBNPcKbvLA31DWzZsgXf8+g7e4b+/vMBSNMwYyaTYd26NdRka9HaByX5Ys8eDh8+HDGRiGkF1yNbJKGbWOOj8aVAeZq6Ja0s6VrOyQP7sT2X/l1fMr5mJQfff5PZo6dJeArV2cydP30OvbyRHB4JrbkRMcdokYeSWmt8z6NYKuN5Lsr3GRsZIZ/P4wTSOG43fpWEnccocbiNFAK3VOa13/yGFStW8sijj/Dqr37FbRs28Pnuz1HKZ3x0lEWL6ti58xMAWlpauHBhiAOHD7Fn7xf09vaSSqZ4+KGH+N1rv2NibIy77ryTxx57jH//139jbHyKxYsX88z3nyaVSJGwbCSamfw0L//y3xkcPE+xrPjrv/4Zu3Z9Sv+5c3R3LWdqehrPV/zd3/93vPvu+3iey2x+ipmZHOVSGaRgenKStvZ27rn7Hn7z61/T1NzMyVNneeSRR1i0aBEHDhyIoC1vvPFGJIZ/+MMfsn//fg4ePEh3dzeu6/L6668zPj5OV1cXL7zwAmfPnuXee++NJNquXbsYGRlBa8XKlSuj3ezE8WO89eZbJJIpfM84ABYtqqV+UT0ti1uQApTv4wQS27Isurq6OHbsGJ7n0dTUZF6kbeGjkQpsBAf2fsno2BiFSokf/fjH5lwhOLT/Sz7duQslLRASz9c0NjayeHEz9YvqUJ7HxMgwx3uP0r2809Rv1opEoPVE738OtXOlJYnWNmhF2KesIiUFO0lqcRuta9dz/u1tZMous8eOsef/eZGx82dIlD1K6RTrn3+G1sfvJ5excDwTvVfKD1frpbePBrZwDJe654UOipH4PsViAd/3jW1rO0xMTDA2MkzYmxOYZx9elVFE7AOANj1L6hbVcfrUKZa0tlIulTl88BClYpGOjg5OnTzF7Rtup/dILx0dHdx7z70MXRiidUkrdsKJMFF79uxBAo8/9hgXhy5y4uhRamtq2bz5Pt566y2mJqawhSThOCQSDlMTE1TKszz/3LP828uv0T94gYGBAZYuaeX5HzzLyVOnePmVX3H69Bn6+s9z9+Y7OXxggN4jh6mvr6NUKtHRsYyR4YtIoSkWZhA0cdtt6zh37hxr167FsixaWlo4deoUw8PD/PznP+ell14KGq4afFhzczNHjhxhaGiIVatWcfbsWQYGBjhx4gQbNmygvr6eDRs20NnZyZdffsnf/d3fsXr16sAv77B27WoyqSSer3HsVKRitbe141VcEo7F6TNnmMmbl7lkyRJGRkb47W9/y8zMDC0tLShfYTmB9w7J+rXrWL9uPe99vIO/+OufsnnzZhQaS8NdG++grq4OO5lGaVMyKpNJ09bWjh9g6vZ98QWNdfUkkylmK0UQ4Km4E8RIimtRhDxhqnQK7SGVibQXsEhJ6LzrLg421KEGhsmSYvRoL5b08GyLhttvY9UzT1BuqMNViqznBYDSuFQT81wFhJ6rBbBLHSu3K4Sp/VYplymVSlGAWWuNLSWz+RkuDA5QKZdJpVIA81SvhZ/LMspCCo3jjRs38rvf/Y69e/eydOlSent7qampYcmSJSxZsgTP88hkMjz77LM89thj9J3rI5lJc9+993Lm1GnGR8cYHh6mdckS7r//foqzBTzPZXhknNOnTlMqldBaUQ68WUp51NbWsHxZJ+f6+ymXy2TSab73+OO89eYfePfdd3n44YdZ0tbG7t27qVQqrFmzlhPHDtPd3cPq1asZHRlh3bp1fL5nD8lUGmk5PPTQQwwNj9Hff56uri6OHj3Kpk2bAvWuLurClUgkaGtrY2Zmhs2bN/Hyy68AsGjRIrZs2UJXVxdr1qyJsF6hW9pxHFpbW+fZNf3n+nn3vXdJp2rwPPPSa2pqaG1dTHNzI/nZKT7++GOO9B7DccwY77//fn72s5/xy1/+kl27dnHPPffguh5aGnSrCBaUFJKlS9uNEa0UEk3v0WN8uX8fQlp42qJU8Vi8uJllHW10LV1KLjfJZ5/vRgiH6fwMJbfCiePH2XjnnXO75TWaClpA2RZILUj4kpSnwZK4tkRLyHZ3kOhpZ3JslBpfgfIpC6C5kTtfeI7mtesZ90IwpTZNpRChcWGeMeaVVJHTY/4AVdigNPjfV6ZNoVtx5x+nFBcuXGBqaipy+oTvaeHncgiLK7qHPc+jq6sLrTWHDx/mF7/4BSdPnqSzs5OHH34YMDpzfX09PT09hrlsh+mpKXLTOZSvTB8Rx2Yml8P3fZLpFAf3HGLfvn00NbXgupVIT5/JzYCG8fEJPtu9m9bWVgqFItK22HzHXeSmJvhg+3vccccdrF+3jt+89gfu2LSJ1tZWpBAsX76c2tpaCoXCvJ4X2WyWdDrD0NBFli5dSiaToVwuk8vlcByH6elpzp49y/T0NLfddhtCiMBIn0IpRX19PQ899FA0uVNTUyxduhTXdfl89+4ISXzkyBHuDBad67q0t7dx771bSCYzuBU/sglqamrwfJdkMsmjjz7Kffc/iBCCbDaLlJJFixZFL214+CKFUonuVSvxlWLv3r30959ncUsLhw4fZtOmzdRmsijPZdWq1QhLorEQlikSmEqlyGYy+MoYrndt2kRuepY9e7+gVCxSyM9GcR+00b2uJZShgYoFUgtSvsRWGk8IKpaiKD2SWYeuezZx8eAREvkySS2pCIvu++6l83uPUMpkcSseadvCUq5BDgvmOUviJa1UUJNAMOeJDT1ZoeTwfA/l+UghI6dNeOzIyAgjIyNm0QeOFbi8JLkuiRJ6a+rr6+nq6iKZTLJmzRoGBgb47LPPmJycpLGxkZ6eHtra2qLj25Ys4dNdu3jjjTdBKRoa6lnS0sp7773H//vii9TW1rK4uZmK5xpXYsIhk8nQ0trC+YEBZmeLJs4hbVzPI51Ok5ue5s0332Ts4hDt7e00NjZyWzrLtnfeZ+WKFSSTCbI1NSxubqa5uYW6unqklDQ0NJLNZnFdjw8+2MFsscxzzz1HOm2cAa+//joPPvgg7e3t/PrXvyaTybB582ZGR0eZnp7mjTfeoLW1lePHj/P//eu/sqiujg0bNnD8+HH+9m//lunpaXqPHmXr1q0MDQ1x/vx5xsbGaG5uDuyNbrq7e1AKfI/AG2XUlUqlRCJh0dHRgZNI4XkeuVyObdu2cfz4cSzL4umnn2ZkdIyzfX2sWLOaXG6Sffv28b3HHyPvltl35DAjoyM09KxE4bFq9Wq6enqwHQdfC7wgoOpYJpaVTKV55unv43qKiucxOjnO7Rtvx7FsUHOKjhbXZtT7UqCVACykNtgurX0quoyVSdDcvgzHTuJol4TSVKwEPXffjWxtIS8EUjjYyscUnTN9MOPFHcKfQ0aJpI3SXNK9VwfQoqAPTxztkcvlOHfuHLOzs2Sz2SioHfcSLvxcl+qlAzvl+eefp1Qq0dTUxPPPP8/KlSspFotRD8XOzk6ampooFYvcu2UL2UW1pLNZarNZsukMNTU1LF26lFwuR1tbG61LlrBseVcQ3bZYuXolzS3NzMzkQAiWd3Xzn/76pxQKRe5/WLK4pRW3VGCyfQnLly1l2bJlXLg4TGtrK6tWr0Yg+d73niSdSpmKKkJQLBbp6uqmUqkgpcWGDbdz2+0b6enpwXVdfvrTn5LP51m9ejUrVqzg9OnTtLa2snTpUpqbm/n5z3+O4zh0dnayZs0axsbGaGhooL29neXLl0du8+eff57ly5czMzPD6OgotbU14VYTziQSK8q1EEJGUtTzXVMKtlwmEby4VatW0d3dzbJly2hra+P11183bm3LIpVKsnXrVtrb2yn6Luvu2EhDvWnN59i2yQgNPIjK9xBCYtsSlAqY0+RcSNvngYceoFAqkc1kg++vP1XAUgT5JyKAsngIXJLapzIxxckdn+PkPDIIkp6g7AkuDlygxffwLRtLa5RfQVtB2wzPMIMOERZaQxisVkE78ljMaCGsyZRJFWg5F+jN5/P09fUxMzMTxZz+GIoSt1zXY7YwP3ErHvyLR5jjHoI4BCSCjYRR8BgUxFRa8RGWZVpNK7DkXLTUkMGLgUJIbTw3SuIpRSbp4FdKSGF25u0ffsQHOz7mv/8f/kca6xaB9qLEqbidcPr0af7pn/6Jv//7v2fFqjVR3CDcOeJQlXAscWRBNFFiDoMWD0bOIZ/ncG++b5DQAqMGoC1AorWp2G+eU+OrCkI6pgB4cP94hB/gwx0f0r5sKSvWrEa6iqQ0wUTfFvi2BKURviaBQGkRJLHpOceVMC0AIchGlNIsxPDZpDRHCxHA5QOvkZ6Px1voWdJAWUDCSuBUfIRWVGQZLV1qS2WO/MsrfPl//Au1YzlSFiTKmulkipl7bud7//v/TN3GjeApEsLFpQAK3Io7bz3EGWJOosxH98ZhRfHfQ0RCX18f/f39hCgPx3GiGF4ikYg+YSwtnU6TTCZpbW2lNtad4Io2ShjsCgNYcaYIBxP/PzzGkhI/iKiHC8n3fYSU+EoFmYLGHWgCQuHUz3k6tBZRK7tEIkGlXAblI22zUOrq6tiyZQv1dXWm3JAIWlgH5Hlm4jLpDPdtuY9UKj0PrxXCS8KfFyIQ4oiDhcfEI+1xfJm55tx15IJ4blyah/dQsYzNOIOECIF77r2HVCaNUhoZu7dSCt9TWEEOj+f5IKzAtRqiehWooH+MabZnmDLc8MxAjN4f2iYS0ylAG+AgfHX6gONrtFfB1QJpmZ6XaRTDX3xJ7+tvkxorklYJyrZCWgqpFDP957m47yBLVq6ibFt4lo+HgexrNQc7MjD4eFWUUKIEayUKk4SbWyDZgtRw1/UYHh7m/PnzUawkbqzH1a6Ff7+c6nXFyHwcEuG67jUnuQDY0iTjeAGsRQhhdM8wHoRGCWXyF4T5+9wneNVCRAEjackImqG0Zv369TzyyCPB3AUnmpIQhsmCT2NjM08+uZWWliXXBf77Y0X0f5TCl1YulyOPYjCiubExB/X3Q1hOEJQMU3AFJt1V4ketK0BE2Yfhe5gXO2FuLQqMJIpLlXnj1BpHaCQKkja+1CSUjzp/gd7fvs7siTMktcBNpCjW1zGdtNGOwJ6e5sJnuxGjo6QsjYdvQLNg1CrfR/m+iTv58Y+RKCKQKiKwVwiMfK00yjPGvFKaqakpzp07R6lUuoQBLscscQTIdTOKGbuOoBbXquNppdBKY0trDotELJo5F6y5zNlzCx4k0rKDXdS4AkOclQxshFKpdMlDzU2EcTBks9k/Kp/9m6BQWghhSjMtVHmAaGHMnROsmdj38w6GYOO55NuFhwUHB9I2uO/l+oUIAVp5+LhUtIsE0iWPoY92cf79j3HysxQsn2J7E3f/4mekNq5hnDJpr8Lkvv1MnT6BrT185aKDHpihAR4v4j5fqodmip73fzwpLzTez5w5w8zMTOQKDhkkDo+KS5Sr0VUliud5jI+PX1fGoe95eG4MzBg49uKe8LmfdfT75T6e7wUqHdiOw+zsLDO5XPASA5CkiIdLzceIcILPNYWavxUULo5EAJEJJfElxxFuCCJQpURcIwkvtsDXKy7Zmi4JNGMkeojfC2lh2rQGsAS+UHjKIyElM2fP0/vaWyTHJsnYNrm0JnPnatb/9M9Y/syjlLMWSe2ihy8yuH8fqjxLwrGRvjZq9mUYciEtfNOhxiGC+cjn85w9ezbCDYbMcSU38LW4hyNGiS/OkBKOw0cffcSLL77I1PR0NLp5Rl0QHAr/Ztk2H370Ebs/3420LYMjCmR7yBLhxqYJKpcssAVMPS3zsxXo3NpXeJ7Pm2+9ze9e/wO+6+M4FugwgSrUu80gLcvG5OCb8Rpks7m/lDK6p8CoH1rNGbDRS4lN2EL4uvl/vvEo5p0zZxxr5Rs5GdgkSkqUMMa3UCaX3EJEBY4cx4nKJJlmSpZRhbTJEASFI6FSKnDs2FH6+s/jCoEvZKA2KSw5p7f7wgYZVLIMItlWxGRBKkTsnQigUioyPDTEqVOnyOVySMs2nq1oFnXghJAkhcLKTXP6vfeZPHicrCspIii1tXDnX/8I3dZA9/cepOWO2ygLiVVWnPhsL/mhYWTghAjbVy+UIvMWriByC6vgo7Wm4rqYLgcF+vrOMjw8HMWsFrqAFwYW4z+H6tflainESlDM1WkiWDwozdTEJENDQ/haoaXAC9QoTysDhAt0Yk9rkAJf+bR1LKWxZTG+1vhaBWqXKSGgfNO/0UKafoqeMq2qNVgClOty5NBBLg4OYkuQeCivbKrNezAwcJFcroBAGj1VVUB7GONPobSPUj6e50avVWuF7VhIy7hmlfKQkqCjlkbgk7AEnlsGPRdt932fEydOMDg4OC+vJdzpZ2cL9Pb2Mj4+YRbl/9/euT/HcV35/XNv9/Q8MDN4P0gCIIElKb5MUjQlUZLFhyTKcbLKOpWsUxtXxY61m6pU5a/xD1v5JaWUnUq5bClreVWVCne1XkukJZEGJUJ8k+ATBEACIEBgMK/uvjc/3O5GY9ADgjJ3na3lqRrMdKP73n7cc8/re84NVBbf9/GVOZpdRQAAGLJJREFUjxaSEHQxNzvNgwdTuPgs1srMzM8jtI1UAlubQIv2faNjez6uq4LMQYkWMliaWyGEj1YVUsLj7vVr/Le//Es++s0nuI6DH6zVIoTHwvwsU1OTVH1NqeYxPTuHFGb9SYHC81w0Cg9NTXl4yjeGi6/RPly5eJH/9T9/yv94912uj93EVTqydhTGq6eUhUOKQt2lcv0y1//uI+TcEkLnWLDzbHztKJ3fPEBJ+rQMDTB07HWqbV24Motf8dF1hfJBWbZBHzTA4qOJOMY8KhhTZlUORc1zEVJSqdW4NzXJvcnJFQlr4SfOBEnxkyQ7LE4rvV7Lrv9ItGWzGbLZLDdu3ODS5Uvs2b0H3/f59NPP0Fpx6NAhbNtmamqKdDptco+BWr3G6PmvmJ6eRggTNc/n84yMjFCpVPjWq6+iPJ/PPvuMXbt2MTs7y9DQELZt8/57v2Dv3n1873t/ytjtG5w5c5quzl4OHHiRarVGPl/ASafRSlNZKnHq1Ke4dcWrr7wcRa8XFhYYGhpiYWGB/fv3U2gtcvaLkchm6mhvNzWPK1Uq5TJbtmzhxIkTbPmjrczPz9PV3c2WLVv48MMPGRwc5O233+bWrVucOXOGXC7Ha6+9xv379/nZz37GsWPHOHr0KLfv3OHzzz9neHiYvfv24WufFAK3UuPvf/1rZh494t/82ff49PQZyguL/Ns//i6OZXF+9EvOnvsSAgngKY2TzXHo1VcY3LwZ1/OwlI/UAitlYQkft17lq9FzTE5MMLy4gNbg+QpbaDzX5dTJT7hy/Sb/7vs/4srYbcauXeP7//5PSacE586d4+zZs6QcByEt6p5Ha2sbL754iN4NG0D5tLYW6O/fxI1bBkZksiJF5CULB0wKiV2tce3jk8zeuE2rElQsC6urm9e++13stnbKXolcS57th7/F9V+f4d6Xl/jmoRdp27CBR1Li+hpXhbKKSBI0DtzINsHYTb4yk5KnPe4/uM/4+Di1Wg3HcRIlR5wp4oZ7krRZd8ARYaDalmUzNzfHL37+c27euc33/+w/sLS0xOjoKFJKHj58yJ49e3j//fepVqs8//zzTE1NUavVGBoaYnFxkZGREfbu3Us2m+XWrVsGgj4+zutHj3HixAnOnDnDvXv3OHz4MF1dXVy/PoZl2Xx+epC/+ZsTuG6dB/dPAjbZbBbHSQfuX8UvP/gVd2/fZXp6FtetG1jJ6dPs27ePyclJPvroIzzPY8/eb/De++8zODDA2NgYKdumvGSWpENpfvCDH/DV+fP87osvo4WIDh48yMWLF5mbm2PTpk385je/oVKpUCqVePDgAdlslitXrlAsFunr6+PEiRPMzc3x1VdfUSgWuXL1Ei998yCbN/bj1utcuHiBlyYn+fKLL3hu23aEAM/3KVcqTE5O4vk+vgZPK3L5AtWKWTBJIEjZKVISlFfFljbXb1xhamqK/fv2BaqsRgQ5HSYpTXPx4kWmpqb4anSUdCqFbVt4Xp35+XmmpqZMOVphlg+ffjDDvv3PB4PUYvv2HQgh+fzMWRzHpHqv0MuFRlsaoX1K92e4+NlZ6mUXL5thQQt2HXuNgV07WdQaaaWo49M2NMg3/tWb0JJj8Fsv4rdk0VKiXOPViqu+zSQKEMFW4vCUmzdvUiqVTEA1IZepWeS9kaGeODKPNmIln29hfn6eb7/8MkoKJiYmmJqa4vDhw1iWxcmTJ9myZQs3btxg9+7dHDlyhA8++AClFG+99RZTU1NcunSJ1tZWrly5woEDB+jo6ODDv/5rKuUKUkr6+vro6upiaWmJHTt20NraynPPPUc+n6ejo519+/bx/nu/5NGjR0FFP5O66StFyrZ44803OPP5CLOzs2QyGYQQ7N+/n4GBAa5fv87ly5dBCjZs6KO3t5dTp06xZ/duyktLHDhwgMsXLlEqlUg7DrW6y/HjxxkZGSGVSlEoFNixYwdaayYmJvjhD3/I5cuXuXjxIi+88AI9PT3s3r2b6elprly5wo4dOxgfH2dicgIhTCKXEDA8PMzHn3/GhQvno1yeMAjW09vL888/HwT/BDJlo4Wkp7s7kOyCk6dOcX/iHumUYMvgRs6NfsXg4Gb88UmUNohZx04hMasvb926jUwmw5XLl7g3cY8/efvtwJOWMUjvF19ESiuI5ttksjk6OzqDyvzLiWVm0MRiQDFm8bWLZdmoUhX/YQntCx4JTWZ4C3u/8xa+41BzfYRjUVc+9WyGHd95g43799A2tIUSRr306u4KSZUUv4rbL2FmqVKKmZmZKAnP5CKttkuSXMNPYsivzSgB59brLr09PRx84SDXb46RSqWo1Wq0tbVFx9RqNVpaWjh69CjDw8M4jmNgFakUp06doq+vj1dffZXLly/T2tpKZ2cnnufjei75fJ4XXniBa9euBUDCjRSLRXbv2sXmwc20tLRw9uxZZmZmEMKADZXycRybUqlCe3s7Fy5c4PrYdQ4cOMCbb77Jw4cP+clPfsI777zDoUMv8Vd/9UumZ2c49MpLZDIZ+vr6OHDgABfTaXbu2Mnd23coFotoNHv37mVgYIBLly6xaVM/+XzerMuSz2PbNq2trbS2tqK1pq+vj7a2Nnbv3s3Y2FhUaf/gwYMMDQ/R1d1pAmkaNvX346QcPv74E7bv2MHAwABoo2ffunObT06dRFoWGknd98jni2zYsJHOzi4qlSrj4/e4fvUymZTFUmmBa9euI22bu/enyeZb+fJ3v2P/gYNksym0p+nq6qJQKPDJJyfpG9jC1q1bUUrjKo87d+7w8ccfm0GOqdbY2tpGT08vA5s3IzCqTbikhWXZJEGLlQjqICiBg80CFm5Lhj3Hj9C+cxv1tAFaWspHYbGkPDIdRVo7i1SFoK4VwlXg+SvaDhkjdJXHP+H/lFLMzs4Gq6EtRmGDeNp5kiu4mZr1OGaJGCUCmbHsVbQtC8uStLW1kc1kqVar5PN52tvbOX/+POl0mra2NnK5XJS/EQ9QjYyMMDIywssvv4zWpsTpjRs3mJ6eJpfL0dHRgWVZdHZ2cv78+ciQq9frjN24wcLiIz799DM2bx5Eo7FtAzOYm5unVqvjuh6//e2n5POmHGuYh3/o0CGuXr3G2NgYx44d5ec//wUTU5P86M9/xK2bN+nu7qazs5N0Ok067Rhj3zY1C5WvuHbtGh0dHfT0dKO15ubNm2zbtg0hBBcuXGBsbIz+/n6y2SxLS0tcvXqVcrmMEIKOjg6KxSKVSpULFy6wpX+AXGc3hUKBru4uPvtihD9++1+TclII3wT1duzcSWtbGwqNlKY6vpQ2vT09uLUadgCQfP3YESyhUV6Nbc89x9z8I/7P3/4tWDZpx+bcl2fZu/M5uvNpCoUCg4ODnPu/f88rR94gny8gpTHkd+7cSWdnpxmIGI9TyknT1dkdoSvq9Tp37tyhXne5c+cO23c+hxPUGYgEizCYMrTAx6KSStE+vIVtR15FtxeoSYHwBcLzcWwb1xJUhGJJ+ygFKdtB1zxEvY4Ig9EN0iMMcscZxXVdFhcXGR8fZ35+fkX6d5J90qh+xdWyJCZ6MtULoz+35FoYGBjAcVIMDAywefPmyMjNZDJ8+9vfZsOGDezatYtCoWCq0/f0UCgUGB8fJ5fL8eDBA7744gsOHz7M6dOnuXXrFsePH6dYLDI0NBRha0JI+7Zt2zh9+jR7vmGSo1zXpaO9A8dx2Lp1K5cuXWJmeoa2djO716o18vk8lmUxOjrKxYsX2bhxA5s3b6a9vYNv7NnDua9GGRwcZHZ2hsHBQfr7+7GkpKO9naGhYbLZrDn//Chd3b0cf/ONKDV4dHSUjo4Ojh49yunTp3Ech+PHj9Pb20tfXx+nT5/mpZdeYuPGjfzqV7+iWCxy+MgRzl8YpbWlQE97J4V8nsHBQW7fn2Dnzp2gDVNKqenp7aF3Q1/w1IPqk4hlCAdQbC0iKQR+J01ndw9awL379xF2ioFNfbz3yw/ZuXUYcLBsm4GBQXp6utmze6epYaZ8NJpNmzbR398f9RM4tvEDyJBAcG9ignNfnsNxUly9epXndu/kj7ZuXSFUpBBmBQApqaUz1Aot7Hr9CN17d1Gxoa4UNhJbSONNsywqlsCXEun6OFqgXU3N8433VKsIxhJ6HsMiGfFAZMgkCwsLTW0QKZeLgCR5vxr/F+5rFoCMQJE1z2WxXIlctUIbX/ujxUVK5SW6enuYnXtIoSUfebmUUvT19SGEYH5+nra2NlKpFLOzs5HYDHVdx3EoFApMTU0hpaS3txcLk/eRyWQiA62lpYXZ2VlKpRI9Pd2UKyXzQKRDa2s7mUyG+flHFIt5CsU8U1P3qNddPFeRTqexbeN8yOfzdHd3k0qlePfddylXq/zFf34H13WpVCq0FovGJqlWWSotYVkWP/7xj9kyPMxb/+I7FItFLMtifn6ehw8f0tXVRS6X4+7du+TzeXp6etBaR9e6YcMGqtUqDx48IJfL0dnVycLiAl1t7aQQ+J7Pf//pT3Ft+OF/egdbSNLaAu2DCGLqAkKYcTh4zWAmADuGkYxgiEvBvXv3KBSKjN28yW9HRvnzH/xHWqSH1B7v/e8PuHprkr/4L/+VbDZDCo1QHtJaHghxRgmj90KDqi4xN/cQZAotLbL5PJlcFqGVga3g40tNiy8Qd2e49NEn1N0au19/jczQIPO+QttpUsIi5fvYGlypWXJMBfuMB7k61BZLlGoVXKEMo8QkSpw5wtJKlUqFiYkJZmZmEr1YcSYIv+PFTUJgZPx3CJDMZDKR57ZYLEZFVdaUKCKQKIVCnnyxgK8Vvb29uHUXKQSbNm1acXxPT090U6FKBUQzQ/jd399vxLtS4CtaW1uj2kohBKGrq4vu7m5Ak8k65re20FoGtkEOgVG1ent78DyFFMtVWbq6uszN2TaLwcKor3zrVVKOqQiTzWaRGPsKIejp6WFubg7P9xgc3MzGjRsjrFVnZyednZ0o5eP7Jic+nOV836erq4vOzk6klORyOdra2qIgbF9LL6ruYQvJvXsT3B0f59h33iLlpAJIuXl2OjaBrUL5YGSMHzGPSdQ13lSfjRs34KRSTEymOfTiC8bj5frMTE9z+fJldu57iWwuh9QByyXMlo0U1oDu7+/Hx6QUK2HKEa0gH3wk2d5u9v/Jv0RbEpW2qCiPVCptKtXjU7c0lrdyHZWUlAivSr1eoSY80KyyQcKP7/u4rsvS0hLT09M8fPhwxSCOq1fNJMxaHrCkY59I9QoHntamwIFxVQbF4oIicl4ASgsDcmGVyBCpG2eU0Ddery9nNYbMERazM+eZ4WFwThKlNL7nYllOFPQLFygVQkagvyQ3omVZHD58mK3bt5lgZzDcVJBW6zgO9XqdXDbHG6+/wdDwcFRyKF6tEVaiqbVeWYp0GVls8kCENGgAW4jI/tu9e5cxqn2z3J7v+ki5soZ74jCOosDBdI8IXLsCITT1apVdO7ZT1Q71uotQHsr32b59O3v37cUgFYRZXmGtFx5dgzCuZN/HVxqEhY4xmcZchq0tfAVLUiCLWRPsxQSubaEQvsZLWXhS4ChT/d4wi0b6Pl6tSs2vUrE1lgLpG+dGaJd4nhcxSalUYnZ2lvn5+TW9Wmsxylrer8fFUdZUvcIB4GuFtC1UKJbVyrKqsAxMC42q8FwpVxeSAwPhlgFeIulct17HStmI0LMiUxFuy8D3JVr7KOUipW1m2EBnNq7tWDoARnUhWMlXKYVWCicVrBbsG2Pe9TyDvJVWxNSN+SrxBxhed8jw4T4pDaoXqZFKYfnmWSzVXWQujZ1y0J7C8jVSCrNoSNhmtJqOiESNDhAQRHcDUoKvXCwhsITC1wpPZvE9n6yug19jqeZh59oQVgatFcL3sKUm9phXq17BL0u55h1ZKXwh8YNLCtO0pPaRysbX4FsC3w5yYXwVrIli4lO1tEXNlrRWwfGhnAJXKjKuh/9wgfn6EvOOj10T2J6Igoghg4SSZHZ2lsXFxej5hu8itCuSkMBxOySujoWfuOplHDvLn1wut6Ji52qJokPAnfkjEAgtDLNIozKF0iBejzi0ScJc5ThXxuvbRjN+0L7BDBnJ4StlxofSSNsAIUMnvh/guaQlDfRCBYhiYSGlhWUZO0ALDL5MhV4UDJ4J8xKQAstKISwzAQgE0k5Rd10s2wokmIoYN2TuMKchVLvC/WFhiXidY9/3l5PIEAjb4KxydgpPGKi4UiaJrXGKX2aZ2GzVhCxhAwrPB43EkiYVVvkW0s5RzNjUfVD4gQQ0M11yskEs4UsDSCzbinJTbEtGuR4GlGOBJMhwNBmImgDzLS2zopVlYEkprVFSo4RECsNEvuez5Lm4vo/lCYTSkTSJS5LFxUUePXpEuVyOBns8z6lRoiSpX0nSJD4+49/xY+KUvDRd0vsJQIpJHoGvQ/8/tLUCIhHy7zqqsD1Rfyu6WK1m/f7PINLLEn41bK3juiOc9XJjK3qJ7TJQ/4bhEg26YKcSGiEJ1sQM1V5FtVJhYf6RwZxpgxJXvqkLbOJ3dUqlEouLi1QqFWB5ckpSmeLfcSkTbscN+7hkiWc6ptNpMpkMjmOWLoxrOMk2ytMZv/+06B/qnuPt6n+IbsSav+Jba8unhjNFk/0JO0XSccthdsNQgcoeZr9WypWoVnW4akFY9jSsDxxf5GetYGGz+MjjDPy12mykP+hCQs/onwEFHkApgsGIYYxqtWqgKIEKH2bQVqtVyuUy1Wo1UmVDVT+c4ePfzaLuSR6vxk+zIOMzRnlGfwAyhmK4mFRonNdqVWNTah0xTchAca9jI3hxPRIFWMEkazFLM6nzRO7hZ/SMfi/Soc0nglpcUCmXKZVKuHU3CiTGGSWszh9KkZCSVKRmEiX0tjbmnzRjtmYGfJyeMcozeuoUDx8opYIUAKhWqywuLkbBXLdep1arUavVEj2NcWO6GXAxScLEVbUkT1jYdmjgh+fFDf1nEiVGT8vr9vv09zS9f//YlHTdcSaBwLMnBZ7rMz8/z6OFhaA2cJ1atbZifZdoGYrg3DijhNvrYZhw8Ce5h5Nsk7DPtaTKP2tGeUZPn+KDzdRyM7+XSiUePXpEpVw27t+aYRYgWgSqWWwjHuxtxixxSRG3V5IYpjEdOI4+bkbPGOUZPVUK0QqhnSCloFRejCLrtWoV3zPYrsaZvhmThNTMpmjGKM28YM0YZy1b5RmjPKOnSvEl9yzLolKtcP/+A6anp6lUKuggg9JJpUjZqYixwkEaMhislibNPvFj13IZJ/1/vWrvP0lG0esKnf3hqfEqm72Sp3U363nl6+2rsa3E8/RyyafwLCkMVN+Sknq9zvSD+9yfmqJarYGGTDZLyraxpCliGHqpGiVH+N3o+XocoyS5jJsZ9Y3MlNRnSMuMIjRarA3DDos5fx1aVVEjwgzFj1l9XlJ3jTeSdF1JpWca9dBGtHEzWk9/jZTYbpIx/zSZ/nHX9CR9Pe55aqJi3hAwiwhQYLaN77nM3J9i4u441XLZgA2dNCnbNsjnqJtkBmncB6ywLRqPf5wnrJn61RhjaWarLDNKWAem8WmssflE1PCgBUkz4OoOGpkpPHfVnoQX2bgjLDq9fEnrvKEGcKLW65swpGyorqgTHvLT9Ho97naeZJ5raCvpNCllhOEKjxHCvIv7U1PcuX0b13VpLRSj1aFh5aydJD2aMUqzCPp6mCTJqE9Svx7v9RIEFRqXD1RqPYN7NSUNwOQB//jWko7RKqH9hhtcfb8JYM+vuQxtvDLmWpR0xKpH848nUJ6ov8a2kuYU7fsIZCxHSFGtVpmcnGR2dhbLssjn85FXy7QTMFUTtSncXr6Olb/jKlL83GYG/loSpVFFW8tuWSFRnlYF90RGSVI7EgqcrYdWqULrVKFWX8CTnxL293XPW62CPj163HWF6N3HcpROUNISpKggXA/Gp1wus7i4yMLCApVKhXw+j+M4K/KM4oZ5uB1+JwUXV/TVRAolSZD48Y3HNNYjfhzGK6SVy2fTgARNGJDrmbQSZ1K1Wu1ZD6Osd9/XYR4dlpt5DCVd57rUpSQ9P96WWF4P5WnQimcc9h3rT2sdZUau2U7Sc0kycpVJZ/Y8j3K5bLxaWq9cgCe2AkLjYA73wcqkvmaSpZnkacYUScHERoZp9mmkKB/FVz51d+VKqo2Dba3BF9/f+PLDPOhVxzfMXEltrxpICbNd0nU1VkZfb3/r2bceRmn27Br3raeC+3ppXRKlyUBYTzurZvlVvLS6fm+ju7exnfB3M9sj6Zi1GCXOII3SprGt+LlgmDpe7mjlvQZ3ZszMxz/oZjNgaKhqvba0iAYMZgZMGjiN+mxyXyu3dazvYOfK/hq2m7W/HmZdxYBrUGNfza5lPW08bl9Sf/EX3ozB1yOhEwdPgwWZxCjxttaSFM1sj/i+9TBKEsOtpV7F/xdmqiY9u/8H6SHPoBmYQIIAAAAASUVORK5CYII=)
Maths-General
Maths-
A city sets up 14 rows of chairs for an outdoor concert. Each row has 2 more rows than the row in front of it. Write an explicit formula to represent the number of chairs in the nth row.
A city sets up 14 rows of chairs for an outdoor concert. Each row has 2 more rows than the row in front of it. Write an explicit formula to represent the number of chairs in the nth row.
Maths-General
Maths-
A city sets up 14 rows of chairs for an outdoor concert. Each row has 2 more rows than the row in front of it. Write a recursive formula to represent the number of chairs in the nth row.
A city sets up 14 rows of chairs for an outdoor concert. Each row has 2 more rows than the row in front of it. Write a recursive formula to represent the number of chairs in the nth row.
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
![negative 2 x plus 5 y equals negative 4 semicolon space y equals negative 5 over 2 x plus 6](data:image/png;base64,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)
Are graphs of the equations parallel, perpendicular or neither?
![negative 2 x plus 5 y equals negative 4 semicolon space y equals negative 5 over 2 x plus 6](data:image/png;base64,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)
Maths-General
Maths-
Casey opened a saving account with a
50 deposit. For every month after the first month she deposits
25. Write an explicit rule to represent the amount of money being deposited in her account. How much money will Casey have in her account after 24 months?
Casey opened a saving account with a
50 deposit. For every month after the first month she deposits
25. Write an explicit rule to represent the amount of money being deposited in her account. How much money will Casey have in her account after 24 months?
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
![x equals 4 semicolon space y equals 4](data:image/png;base64,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)
Are graphs of the equations parallel, perpendicular or neither?
![x equals 4 semicolon space y equals 4](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFMAAAAPCAYAAACY/vOMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAWRJREFUeNpjYBgcwAeI/zMMLTAo3cwDxNeGWGAOWjfPBOLkIRaYBN0MkuzAIt4MlaMFsAbivVA2uYE5F4jDsYgXAHHrQLr5HBCLI/ETgXgKHvX/icC4ABsQXwJieTwOWw4VD8BjTjwQd6GJcQHxLSAWHgA3w4EHEPdB2S5IMUALAMoFOWieJCcwvYB4FZpYPRDXDpCbUcBuILYH4gs4YpYaQA+Ij2JJMeQAkBuvIPFFgfguEHMMBjeDyppfUM2EALlZ5iQQq1ApMEHgGxK7D+qHAXczqHBdA3VQJA2zOLllFi5wGIiVoBiUKpkG2s0gh2yCFt6gdtQZGmZzXI4lFywEYj8gXgrEsQPtZlA5sw0t8EAt/MUD7DBiKiBY0TQXWtMyDKSbQdX9OiCWxuEZjyEQmAFQdX4DHZiDHSyHNn/wAVAgHmcYBXiBAbTZw0JAHaiIshwNLvxAGq1Hhg3oAPGWweBYAG2JhXLz9DVLAAAAlHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT54PC9taT48bW8+PTwvbW8+PG1uPjQ8L21uPjxtbz47PC9tbz48bW8+JiN4QTA7PC9tbz48bWk+eTwvbWk+PG1vPj08L21vPjxtbj40PC9tbj48L21hdGg+r94+fwAAAABJRU5ErkJggg==)
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
![y equals 1 half semicolon space y equals negative 3](data:image/png;base64,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)
Are graphs of the equations parallel, perpendicular or neither?
![y equals 1 half semicolon space y equals negative 3](data:image/png;base64,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)
Maths-General
Maths-
What is the horizontal asymptote of the rational function
![straight F left parenthesis straight x right parenthesis equals fraction numerator a x squared plus b x plus c over denominator d x squared plus e x plus f end fraction](data:image/png;base64,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)
What is the horizontal asymptote of the rational function
![straight F left parenthesis straight x right parenthesis equals fraction numerator a x squared plus b x plus c over denominator d x squared plus e x plus f end fraction](data:image/png;base64,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)
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
y = 2x + 1; 2x - y = 3
Are graphs of the equations parallel, perpendicular or neither?
y = 2x + 1; 2x - y = 3
Maths-General
Maths-
A Trainer mixed water with an electrolyte solution. Container is having 12 gal of 25% electrolyte solution. The Concentration of electrolytes can be modelled by
, Graph the function.
A Trainer mixed water with an electrolyte solution. Container is having 12 gal of 25% electrolyte solution. The Concentration of electrolytes can be modelled by
, Graph the function.
Maths-General
Maths-
Find the 12th term. -8, -5.5 , -3, -0.5, 2.0,....
Find the 12th term. -8, -5.5 , -3, -0.5, 2.0,....
Maths-General