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omeli [17]
3 years ago
5

The volume of a rectangular prism is given by the formula V = lwh, where l is the length of the prism, w is the width, and h is

the height. Which expression represents the volume of the following rectangular prism?
Mathematics
2 answers:
Artemon [7]3 years ago
8 0
If the given are h =2x+9, l = x+2, w = 3x, then the answer is 6x^3+39x^2+54x

V = lwh
    = (2x+9)(x+2)(3x)
    = (2x^2 + 4x + 9x + 18)(3x)
    = 6x^3 + 12x^2 + 27x^2 + 54x
    = 6x^3 + 39x^2 + 54x
Alinara [238K]3 years ago
8 0

Answer:

C. 6x^3+39x^2+54x

Step-by-step explanation:

got it right on test

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What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?
chubhunter [2.5K]

Answer:

22 meters per second

Step-by-step explanation:

If a car is going 374 meters in 17 seconds then you divide 374/17 claiming that the car is going 22 meters every second.

7 0
2 years ago
which of the functions have a range of real numbers greater than or equal to 1 or less than or equal to-1​
lilavasa [31]

The question is incomplete. Here is the complete question:

Which of the functions have a range of all real numbers greater than or equal to 1 or less than or equal to -1? check all that apply.

A. y=\sec x

B. y= \tan x

C. y= \cot x

D. y= \csc x

Answer:

A. y=\sec x

D. y=\csc x

Step-by-step explanation:

Given:

The range is greater than or equal to 1 or less than or equal to -1.

The given choices are:

Choice A: y=\sec x

We know that, the \sec x=\frac{1}{\cos x}

The range of \cos x is from -1 to 1 given as [-1, 1]. So,

|\cos x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\cos x|}\geq 1\\|\sec x|\geq 1

Therefore, on removing the absolute sign, we rewrite the secant function as:

\sec x\leq -1\ or\ \sec x\geq 1\\

Therefore, the range of y=\sec x is all real numbers greater than or equal to 1 or less than or equal to-1​.

Choice B: y= \tan x

We know that, the range of tangent function is all real numbers. So, choice B is incorrect.

Choice C: y= \cot x

We know that, the range of cotangent function is all real numbers. So, choice C is incorrect.

Choice D: y=\csc x

We know that, the \csc x=\frac{1}{\sin x}

The range of \sin x is from -1 to 1 given as [-1, 1]. So,

|\sin x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\sin x|}\geq 1\\|\csc x|\geq 1

Therefore, on removing the absolute sign, we rewrite the cosecant function as:

\csc x\leq -1\ or\ \csc x\geq 1\\

Therefore, the range of y=\csc x is all real numbers greater than or equal to 1 or less than or equal to-1​.

6 0
3 years ago
Please answer the question below and show working
strojnjashka [21]

Answer:

i. Slope=-1/6

ii. Midpoint= (1,8.5)

iii. <em>Distance</em><em>=</em><em> </em><em>√</em><em>3</em><em>7</em><em> </em><em>units</em>

<em>iv.</em><em> </em><em> </em><em> </em><em> </em><em>Slope </em><em>of </em><em>t=</em><em>2</em>

<em>please </em><em>see</em><em> the</em><em> attached</em><em> picture</em><em> for</em><em> full</em><em> solution</em><em>.</em><em>.</em><em>.</em>

<em>Hope </em><em>it</em><em> helps</em><em>.</em><em>.</em>

<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em>

6 0
3 years ago
In the sport​ competition, France won more gold medals than​ Italy, who won more gold medals than Korea. If the total number of
larisa [96]
The answer would be:

Korea: 6

Italy: 7

France: 8

6, 7, 8 are consecutive numbers because they go in the order that you would count from 1-x(an infinite number) with.

I hope this helped! If you have further questions don't be afraid to ask!

~Travis
4 0
3 years ago
Read 2 more answers
Find the value of x in the isosceles triangle shown below.
Salsk061 [2.6K]
I think its C sorry if its wrong!
7 0
2 years ago
Read 2 more answers
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