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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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Solve the following inequality.
Anika [276]

Solving the inequality given algebraically, the solution of the inequality for the value of m is:

<u>m < -4 OR m > 3</u>

<em><u>Given the following </u></em><em><u>inequality</u></em><em><u>,</u></em>

<em><u /></em>\frac{m - 2}{3} < -2 \\

or

4m + 3 > 15

Let's solve algebraically for the value of m in both inequality statements given.

\frac{m - 2}{3} < -2 \\

  • Multiply both sides by 3

\frac{m - 2}{3} \times 3 < -2 \times 3\\\\m - 2 < -6

  • Add 2 to both sides

m - 2 + 2 < -6 + 2\\\\m < -4

Or

4m + 3 > 15

  • Subtract 3 from each side

4m + 3 - 3 > 15 - 3

4m > 12

  • Divide both sides by 4

\frac{4m}{4}  > \frac{12}{4} \\\\

m > 3

Therefore, solving the inequality given algebraically, the solution of the inequality for the value of m is:

<u>m < -4 OR m > 3</u>

<u></u>

<u></u>

Learn more here:

brainly.com/question/24434501

8 0
2 years ago
Please help me on this problem
tester [92]

Answer:

79.5 in ^3

Step-by-step explanation:

5 times 8 times 2.

40 times 2 equals 80.

2 times 1 times .25 equals .5

80-.5 equals 79.5 in^3

3 0
3 years ago
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(Once again) "find the value of x"
alukav5142 [94]

Answer:

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Step-by-step explanation:

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Truck brakes can fail if they get too hot. In some mountainous areas, ramps of loose gravel are constructed to stop runaway truc
pickupchik [31]

Kinetic engery = -1/2mv^2

Work = Fd

Combine:

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Multiply both sides by 2:

v^2 = 2d(0.30*9.81*cos(6))

Solve for d:

d=v^2 / 2(0.30*9.81*cos96))

v = speed:

d = 35^2 / 2*0.30 * 9.81 * cos(6)

d = 1225 / 5.85376

d = 209.27 meters. Round answer as needed.

7 0
3 years ago
The triangle and rectangle
valentinak56 [21]
2x-4=3x-11 so add 4 to 11 and that’s -7 then subtract 2x from 3x so that’s 1x so 1x divides by -7 equals -7 so x=-7
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