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Alina [70]
3 years ago
13

The volume of a rectangular prism can be found by multiplying the base area, B, times the height. If the volume of the prism is

represented by 15x2 + x + 2 and the height is x2, which expression represents B, the area of the base? 15x + + 15x + + 15 + + 15 + +
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0

Answer:

Base (B) = /frac{15x² + 1 + 2}{x}

Step-by-step Explanation:

==>Given:

Dimensions of a rectangular prism are expressed as follow:

Volume (V) = 15x² + x + 2

Height (h) = x²

==>Required:

Expression of the Base area (B)

==>Solution:

Volume (V) = Base (B) × Height (h)

15x² + x + 2 = B × x²

Divide both sides by x²

\frac{15x² + x + 2}{x²} = B[tex]Base (B) = /frac{15x² + 1 + 2}{x}

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Montana is known for having very chilly winters. One night, the temperature was falling by 2 degrees Fahrenheit each hour. At su
Kipish [7]

Answer:

7 hours

Step-by-step explanation:

We are given that

At sunset, the temperature=-5 degrees Fahrenheit

Each hour, temperature falling=2degrees Fahrenheit

We have to find time taken to reach the temperature -19° F.

Let x be the time time taken to reach the temperature -19° F

According to question

-5+x(-2)=-19

Where we taking 2 negative because temperature decreases.

-5-2x=-19

-5+19=2x

14=2x

x=\frac{14}{2}

x=7

Hence, it will take 7 hours for the  temperature to reach -19° F.

3 0
3 years ago
Please help me with this question step by step. A rectangle has a width of 2x exponent 2 +4x+1) and a length of (8-x). What is t
timurjin [86]

Answer:

A = (2x² + 4x + 1) (8 − x)

A = -2x³ + 12x² + 31x + 8

Step-by-step explanation:

W = 2x² + 4x + 1

L = 8 − x

Area is width times length.

A = (2x² + 4x + 1) (8 − x)

If you wish, you can simplify with distribution.

A = 8 (2x² + 4x + 1) − x (2x² + 4x + 1)

A = 16x² + 32x + 8 − 2x³ − 4x² − x

A = -2x³ + 12x² + 31x + 8

6 0
3 years ago
With the air conditioner on, the electric bill was $303. With the air conditioner off, the bill was $194. What was the differenc
professor190 [17]

Answer:

<em>$</em><em>1</em><em>0</em><em>9</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>difference</em><em> </em><em>between</em><em> </em><em>both</em><em> </em><em>the</em><em> </em><em>bills</em>

Step-by-step explanation:

<em>Difference</em><em> </em><em>=</em><em>$</em><em>(</em><em>3</em><em>0</em><em>3</em><em>-</em><em>1</em><em>9</em><em>4</em><em>)</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>$</em><em>1</em><em>0</em><em>9</em>

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6 0
3 years ago
Read 2 more answers
What are the inputs of the following function?
igor_vitrenko [27]

Answer:

  A. {-4, -3, 7, 8}

Step-by-step explanation:

The ordered pairs representing a function are always written ...

  (input, output)

<h3>Inputs</h3>

The set of inputs for the given function is the list of first-numbers of the ordered pairs. Those numbers are -3, -4, 8, 7. When we express them as a set, we like to have the elements of the set in increasing order:

  inputs = {-4, -3, 7, 8} . . . . . . matches the first choice

7 0
2 years ago
Which is the correct way to evaluate f(15) for the function f(x)=2(x+3)?
Thepotemich [5.8K]

Answer:

the first option

Step-by-step explanation:

Start by substituting 15 for x. Then, simplify to get f(15)=36.

cuz

f(x)=2(x+3)

f(15)=2(15+3)

= 2×18=36

gimme brainliest plz

3 0
3 years ago
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