State if 0.24758326…. is a rational number or irrational number with a suitable explanation.

The line in the xy-plane above represents the relationship between the height h(x), in feet, and the base diameter x , in feet, for cylindrical Doric columns in ancient Greek architecture. How much greater is the height of a Doric column that has a base diameter of 5 feet than the height of a Doric column that has a base diameter of 2 feet?

The table above shows shipping charges for an online retailer that sells sporting goods. There is a linear relationship between the shipping charge and the weight of the merchandise. Which function can be used to determine the total shipping charge f(X), in dollars, for an order with a merchandise weight of x pounds?

A television with a price of $straight $ space 300$ is to be purchased with an initial payment $straight $ 60 space$ of and weekly payments of $straight $ 30$ . Which of the following equations can be used to find the number of weekly payments, $W$ , required to complete the purchase, assuming there are no taxes or fees?

2Z+1=Z
What value of Z satisfies the equation above?

The image which represents the table is,

Color
Children

Red
8

Blue
7

Green
5

Yellow
9

Pink
6

GeneralGeneral

The product of -2.655 × 18.44 is _________.

1)Write the given decimal as a fraction by adding the number one to the denominator. The given value of the numerator and denominator is to be multiplied by multiples of 10 to remove the decimal(.) value. If 1.8, for example, is a decimal value, 18/10 will be the corresponding fraction. We cannot simply carry on with 18/10. 2)The specified decimal should first be written as a ratio (p/q), with one as the denominator.
3)The numerator and denominator are to be multiplied by multiples of 10 to convert the decimal into a whole number, multiplied for each decimal point. (Multiply by 100/100 if two numbers follow the decimal point)
4) just the outcome fraction

The product of -2.655 × 18.44 is _________.

A square is inscribed in a circle with radius $6 square root of 2$ inches. What is the perimeter of the square in inches?

$3 x minus 0.6 equals 1.8$
What value of x satisfies the equation above?

$5 left parenthesis x minus 3 right parenthesis left parenthesis x plus 1 right parenthesis equals 0$
What positive value of x satisfies the equation above?

$x plus y equals 5$
$2 x equals 5$
If (x, y) is the solution to the given system of equations, what is the value of y ?

The table gives some values of x and the corresponding values of f(x) for polynomial function f. Which of the following could be the graph of f in the xy - plane, where y = f(x)?

x f(x)

-2 -2

-1 3

0 2

1 7

2 30

The graph of $y equals m x plus b$ , where m and b are constants, is shown in the xy - plane. What is the value of m ?

The half-life of a certain substance in an aquatic environment is about 150 years. Which of the following exponential functions best models the amount $A left parenthesis t right parenthesis$ , in grams, of the substance $t$ years after 200 grams of the substance is applied to the aquatic environment? (The half-life is the length of time needed for an amount of the substance to decrease to one-half of that amount.)

$L minus S square root of 1 minus fraction numerator v to the power of 2 end exponent over denominator c to the power of 2 end exponent end fraction end root$
When the speed of an object approaches the speed of light, its length as seen by an observer changes. When the object is stationary relative to an observer, its length is $S$ , and when the same object is moving at speed $v$ relative to the observer, its length is $L$ . The formula above expresses $L$ in terms of $S comma v$ , and $c$ , the speed of light. Which of the following gives the speed of the object in terms of the other quantities?