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stepan [7]
2 years ago
11

What is the volume of the prism below?

Mathematics
1 answer:
Fudgin [204]2 years ago
5 0

Answer: A) 150 cubic units

V = area of the base <u>times</u> the height of the prism.

(5)(6) = 30

30/2 =15

V = (15)(10)

V = 150 cubic units

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You are riding a roller coaster when a shoe falls off your foot. The function y=300−16t2 represents the height y (in feet) of th
Juli2301 [7.4K]

Answer:

Time to land on 11ft is 4.25 seconds

Step-by-step explanation:

Given

y = 300 - 16t^2

Required

Solve for t when height is 11ft

This implies that y = 11

So: substitute 11 for y in y = 300 - 16t^2

11 = 300 - 16t^2

Collect Like Terms

16t^2 = 300 - 11

16t^2 = 289

Express both sides as squares

4^2 * t^2 = 17^2

(4t)^2 = 17^2

Take square roots of both sides (ignore negative)

4t = 17

Solve for t

t = \frac{17}{4}

t = 4.25

Hence, time to land on 11ft is 4.25 seconds

8 0
2 years ago
If f(x)= -3-5 and g(x)= 4x-2, find (f-g)(x)
lora16 [44]

Answer:

3^x+6x+2

Step-by-step explanation:

if f(x)= -3-5 and g(x)= 4x-2, find (f-g)(x)=3^x+6x+2

4 0
3 years ago
Using the exponential growth function for the U. S. population from 1970 through 2003:
jeka94

Answer:

Step-by-step explanation:

Using the exponential growth function for the U. S. population from 1970 through 2003:

A = 205.1e^0.011t

with the U.S. population being 205.1 million in 1970, when would the U. S. population reach 350 million?

A.

2028

B.

2048

C.

2018

D.

2038

We have the expression

A = 205.1e^0.011t

We are asked to find when would the U. S. population reach 350 million

A = 350

350 = 205.1e^0.011t

We divide both sides by 205.1

Divide both sides by 205.1

350/205.1 = 205.1e^0.011t/205.1

1.7064846416 = e^0.011t

We take the log of both sides

log 1.7064846416 = log e^0.011t

log 1.7064846416 = t log 0.011

t = log 1.7064846416/ log 0.011

t = 0.1185057826

7 0
3 years ago
How many solutions does the equation have?<br> 17f| = 0
notsponge [240]

Answer:

one answer is the possible answer

hope this helped!

4 0
3 years ago
A gym teacher has 250 to spend on volleyball, she buys for volleyball nets that cost $28 volleyballs are $7 each.how many volley
MaRussiya [10]

The gym teacher has $250 to spend on volleyball equipment. She buys 4 volleyball nets for $28 each. Volleyballs cost $7 each. How many volley balls can she buy

Answer:

she can buy maximum of 19 balls.

Step-by-step explanation:

Let the number of volleyballs  be x

we know that

\text{(The cost of each volleyball net} \times \text{number of volleyball net)}+\text{(the cost of each volleyball} \times \text{number of volleyballs)}\leq \ 250

so substituting the values,

28(4) + 7x \leq 250

112 + 7x \leq 250

7x \leq 250 - 112

7x \leq 138

x \leq \frac{138}{7}

x \leq 19.7

3 0
2 years ago
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