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Maths-

SAT

Easy

Question

The equation p = 14.7 + 0.439d approximates the pressure p, in pounds per square inch, exerted on a diver at a depth of d feet (ft) below the surface of the water. What is the increase in depth that is necessary to increase the pressure by 1 pound per square inch?

$\frac{1}{0.439} f t$
$\frac{1}{14.7} f t$
0.439 ft
14.7 ft

The correct answer is: $fraction numerator 1 over denominator 0.439 end fraction f t$

p = 14.7 + 0.439 d
1= 14.7 + 0.439d
– 14 .7 = 0.439d
- 13.7 = 0.439d
$negative fraction numerator 13.7 over denominator 0.439 end fraction equals d$
When p = 0 0 = 14.7 + 0.439 d
$fraction numerator negative 14.7 over denominator 0.439 end fraction equals d$
The increase = $fraction numerator negative 14.7 over denominator 0.439 end fraction minus open parentheses fraction numerator negative 13.7 over denominator 0.439 end fraction close parentheses equals fraction numerator 1 over denominator 0.439 end fraction$

Related Questions to study

x²- 4x +2 = 0
Which of the following is a solution to the equation above?

x²- 4x +2 = 0
Which of the following is a solution to the equation above?

Line l is shown in the xy-plane above. Which of the
following is an equation of line l ?

Line l is shown in the xy-plane above. Which of the
following is an equation of line l ?

Which of the following is equivalent to
(2x + 4)² - 4x² ?

Which of the following is equivalent to
(2x + 4)² - 4x² ?

parallel

Which of the following equations represents the line in the xy-plane that passes through (0, 3) and has a slope of -3 ?

Which of the following equations represents the line in the xy-plane that passes through (0, 3) and has a slope of -3 ?

Which of the following expressions is equivalent to
3q² + r³ + 5r- 8q + 2(q² + r)?

Which of the following expressions is equivalent to
3q² + r³ + 5r- 8q + 2(q² + r)?

Recommended Daily Intake of Potassium

Age

Potassium (mg)

0-6 months

400

7-11 months

700

1-3 years

3,000

4-8 years

3,800

9-13 years

4,500

14-17 years

4,700

18 years and up

4,700

The table above shows the recommended amount of potassium, in milligrams (mg) per day, for people of all ages according to the National Academy of Medicine.
The recommended daily intake of potassium for an eight-month-old child is what fraction of that recommended for a two-year-old child?

Recommended Daily Intake of Potassium

Age

Potassium (mg)

0-6 months

400

7-11 months

700

1-3 years

3,000

4-8 years

3,800

9-13 years

4,500

14-17 years

4,700

18 years and up

4,700

The table above shows the recommended amount of potassium, in milligrams (mg) per day, for people of all ages according to the National Academy of Medicine.
The recommended daily intake of potassium for an eight-month-old child is what fraction of that recommended for a two-year-old child?

parallel

Recommended Daily Intake of Potassium

Age

Potassium (mg)

0-6 months

400

7-11 months

700

1-3 years

3,000

4-8 years

3,800

9-13 years

4,500

14-17 years

4,700

18 years and up

4,700

The table above shows the recommended amount of potassium, in milligrams (mg) per day, for people of all ages according to the National Academy of Medicine.
Andrea's recommended daily intake of potassium is 50% greater than that of her two-year-old brother. What is the least possible age, in years, of Andrea?

Recommended Daily Intake of Potassium

Age

Potassium (mg)

0-6 months

400

7-11 months

700

1-3 years

3,000

4-8 years

3,800

9-13 years

4,500

14-17 years

4,700

18 years and up

4,700

The table above shows the recommended amount of potassium, in milligrams (mg) per day, for people of all ages according to the National Academy of Medicine.
Andrea's recommended daily intake of potassium is 50% greater than that of her two-year-old brother. What is the least possible age, in years, of Andrea?

Note: Figure not drawn to scale.
In the figure above, ABC and DEC are right triangles. If CD = 20 and the tangent of angle ABC is 2.5, what is the length of segment ED ?

Note: Figure not drawn to scale.
In the figure above, ABC and DEC are right triangles. If CD = 20 and the tangent of angle ABC is 2.5, what is the length of segment ED ?

Lines t and w are parallel in the xy-plane. The equation of line t is 4x + 7 y = 14, and line w passes through (-3, 8). What is the value of they-intercept of line w?

Lines t and w are parallel in the xy-plane. The equation of line t is 4x + 7 y = 14, and line w passes through (-3, 8). What is the value of they-intercept of line w?

parallel

The numbers of people, in millions, who visited Amusement Park A and Amusement Park B in 2009 through 2013 are listed in the table below. What is the positive difference between the mean number of people, in millions, who visited Amusement Park B · and the mean number of people, in millions, who visited Amusement Park A during those years? (Round your answer to the nearest tenth.)

Location

2009

2010

2011

2012

2013

Amusement Park A

15.7

15.2

14.4

14.1

12.3

Amusement Park B

15.9

16.0

16.1

16.0

16.2

The numbers of people, in millions, who visited Amusement Park A and Amusement Park B in 2009 through 2013 are listed in the table below. What is the positive difference between the mean number of people, in millions, who visited Amusement Park B · and the mean number of people, in millions, who visited Amusement Park A during those years? (Round your answer to the nearest tenth.)

Location

2009

2010

2011

2012

2013

Amusement Park A

15.7

15.2

14.4

14.1

12.3

Amusement Park B

15.9

16.0

16.1

16.0

16.2

p = 9n - (2n + k)
The profit p, in dollars, from producing and selling n units of a certain product is given by the equation above, where k is a constant. If200 units are produced and sold for a profit of $1275, what is the value of k?

p = 9n - (2n + k)
The profit p, in dollars, from producing and selling n units of a certain product is given by the equation above, where k is a constant. If200 units are produced and sold for a profit of $1275, what is the value of k?

The function f has the property that, for all x , 3f(x) = f(3x). If f(6) = 12, what is the value of f(2)?

The function f has the property that, for all x , 3f(x) = f(3x). If f(6) = 12, what is the value of f(2)?

parallel

Radioactive substances decay over time. The mass M, in grams, of a particular radioactive substance d days after the beginning of an experiment is shown in the table below.

Number of days, d

Mass, M (grams)

0

120.00

30

103.21

60

88.78

90

76.36

If this relationship is modeled by the function M ( d) = a • 10^bd, which of the following could be the values of a and b ?

Radioactive substances decay over time. The mass M, in grams, of a particular radioactive substance d days after the beginning of an experiment is shown in the table below.

Number of days, d

Mass, M (grams)

0

120.00

30

103.21

60

88.78

90

76.36

If this relationship is modeled by the function M ( d) = a • 10^bd, which of the following could be the values of a and b ?

The table below shows the number of lakes in the United Kingdom classified by alkalinity and depth.

Depth class

Alkalinity Class

Low

Medium

High

Total

Shallow

87

61

209

357

Moderate

227

86

110

423

Deep

130

35

21

186

Total

444

182

340

966

If a lake has high alkalinity, which of the following is closest to the probability that the lake also has a shallow depth?

The table below shows the number of lakes in the United Kingdom classified by alkalinity and depth.

Depth class

Alkalinity Class

Low

Medium

High

Total

Shallow

87

61

209

357

Moderate

227

86

110

423

Deep

130

35

21

186

Total

444

182

340

966

If a lake has high alkalinity, which of the following is closest to the probability that the lake also has a shallow depth?

a(-3x-1) + x = 7x - 2
The equation above has no solutions, and a is a constant. What is the value of a ?

a(-3x-1) + x = 7x - 2
The equation above has no solutions, and a is a constant. What is the value of a ?

parallel

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