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Studentka2010 [4]

2 years ago

6

The volume of a rectangular pyramid is 3 cubic inches. What is the volume of a rectangular prism with the same length, width, an

d height?

1 answer:

kap26 [50]2 years ago

3 0

Answer:

Volume is the amount of 3-dimensional space an object occupies. Volume is measured in cubic units.

Step-by-step explanation:

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If f(x)f(x) is an exponential function where f(4.5)=23f(4.5)=23 and f(8)=42f(8)=42, then find the value of f(5.5)f(5.5), to the

nydimaria [60]

Answer:

f(5.5)≈27.32

Step-by-step explanation:

5 0

2 years ago

Jack is selling wristbands and headbands to earn money for camp. He earns $2 for each wristband and $3 for each headband. He wan

djverab [1.8K]

Let
x = wristbands
y = headbands
We then have the following inequations:
2x + 3y> = 50
x> = 5
The graph that represents the solution for this system of inequations is shown in the attached image.
The set of solutions is the shaded region.

8 0

3 years ago

The standard deviation describes the average distance from the mean. <br> a. True <br> b. False

Whitepunk [10]

The standard deviation is a measure of the variation of the data about the mean. So false.

6 0

3 years ago

Solve the inequality<br> a + 18 < 7

Alexxandr [17]

Answer:

a < - 11

Step-by-step explanation:

a + 18 < 7

a < 7 - 18

a < - 11

3 0

3 years ago

A quadratic relation has zeros at 3 and –5. The parabola goes through the point (2, –14). What is the equation of the parabola i

olasank [31]

Answer:

$\displaystyle 2 {x}^{2} + 4x - 30 = 0$

Step-by-step explanation:

we are given the zeros and a point where it goes through of a quadratic equation

remember that when the roots are given then the function should be

$\displaystyle \: y = a(x - x_{1})(x - x_{2})$

where a is the leading coefficient and x1 and x2 are the roots

substitute:

$\displaystyle y = a(x - (3))(x - ( - 5))$

simplify:

$\displaystyle y = a(x - 3)(x + 5)$

now the given point tells us that when x is 2 y is -14 therefore by using the point we can figure out a

substitute:

$\displaystyle a(2 - 3)(2 + 5) = - 14$

simplify parentheses:

$\displaystyle a( - 1)(7) = - 14$

simplify multiplication:

$\displaystyle - 7a = - 14$

divide both sides by -7:

$\displaystyle a = 2$

altogether substitute:

$\displaystyle y = 2(x - 3)(x + 5)$

since it want the equation y should be

$\displaystyle 2(x - 3)(x + 5) = 0$

recall quadratic equation standard form:

$\displaystyle {ax}^{2} + bx + c = 0$

so simplify parentheses:

$\displaystyle 2( {x}^{2} + 2x - 15 ) = 0$

distribute:

$\displaystyle 2 {x}^{2} + 4x - 30 = 0$

hence,

the equation of the parabola in standard form is <u>2</u><u>x</u><u>²</u><u>+</u><u>4</u><u>x</u><u>-</u><u>3</u><u>0</u><u>=</u><u>0</u>

8 0

3 years ago