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ExtremeBDS [4]
3 years ago
11

The dimensions for a rectangular prism are x + 7 for the length, x + 9 for the width, and x for the height. What is the volume o

f the prism? Enter your answer as a polynomial in standard form. The volume of the prism can be expressed as _____.
Mathematics
1 answer:
marissa [1.9K]3 years ago
5 0

Answer:

The volume of the prism is x^3 + 16x^2 + 63x

Step-by-step explanation:

Mathematically, the volume of the prism is the area of the base multiplied by the height of the prism

The area of the base is l * w

= (x + 7)(x + 9) = x^2 + 7x + 9x + 63 = x^2 + 16x + 63

The volume is now; x(x^2 + 16x + 63)= x^3 + 16x^2 + 63x

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Can anybody help me with this plzzz‼️<br> (If answer is correct i will cashapp you $6)
Ganezh [65]

Step-by-step explanation:

h(x) = 3. g(x) + 5

x= -1 h(x) = 3×8 + 5= 29

x= 0h(x) = 3×5 + 5= 20

x= 2 h(x) = 3×1 + 5= 8

x= 5 h(x) = 3×-5 + 5= -10

4 0
3 years ago
Read 2 more answers
Jackson and Jonah are both swimming. Jackson swims at 1350 meters per hour. Jonah swims at a speed of 1250 millimeters per secon
Vladimir [108]

For this question we will use the following relations.

100 centimeters=1 meter (or 1 centimeter= 0.01 meter)

10 millimeter=1 centimeter (or 1 mm=0.1 cm)

60 minutes = 1 hour (or 1 min=\frac{1}{60} hour)

Now, Jackson's speed is 1350 meters per hour. This can be converted to cm per minute as follows:

\frac{1350 m}{1 h}=\frac{1350\times 100 cm}{60 min}=2250 cm/min...Equation 1

Likewise, Jonah's swim speed in cm/min can be calculated as:

\frac{1250 mm}{1 s}=\frac{1250\times 0.1 cm}{\frac{1}{60}min } =\frac{125\times 60 cm}{1 min}=7500cm/min...Equation 2

As we can see clearly after comparing Equation 1 and Equation 2, Jonah's swim speed of 7500 cm/min is faster than that of Jackson.

Thus, option B is correct.

7 0
3 years ago
I need help with this question. 12 points
olasank [31]
There is no question
8 0
3 years ago
Read 2 more answers
Urgent, please i will give brainliest
Ne4ueva [31]

Answer:

1. \frac{\sqrt{13} }{3}

2. 3.2362

3. \frac{60}{11}

Step-by-step explanation:

1.

Cot is the trigonometric ratio defined by "adjacent" over "opposite". <em>So, adjacent = 2 and opposite = 3.</em>

By pythagorean theorem, we have the "hypotenuse" as  \sqrt{2^2+3^2}=\sqrt{13}

Csc is defined as the trig ratio "hypotenuse" over "opposite". <em>We know the sides, so Csc \theta = \frac{\sqrt{13} }{3}</em>

<em />

<em>First answer choice is right.</em>

<em />

2.

By definition, Csc \theta is the inverse of Sine \theta. <em>If given the value of sin theta, to find value of csc theta, we take the reciprocal of it. Hence:</em>

Csc\theta=\frac{1}{0.3090}\\=3.2362

Third answer choice is right.

3.

By definition tan and cot are inverse of each other. <em>So the value of tan is the reciprocal of the value of cot.</em> We can simply "flip" the value of tan theta to get the value of cot theta. Hence:

Cot\theta=\frac{60}{11}

Third answer is right.

3 0
3 years ago
Read 2 more answers
A factory makes 1500 cans per minute, the factory makes cans for 8 hours a day, each can is filled with 300ml of cola, how much
3241004551 [841]
1500 x 60 = the number of cans made in one hour (90,000)
90,000 x 8 = the number of cans made in 8 hours (720,000)
720,000 x 300 = 216,000,000 ml of cola

Hope this helps you out!

5 0
3 years ago
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