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rosijanka [135]
3 years ago
15

The radius of a cone-shaped tank is 4 feet less than its height. If the height of the tank is (x - 3) feet, the expression below

shows the volume of the tank.
1 over 3_ (x - 7)2 (x - 3)

What does the factor 1 over 3(x - 7) represent?

The total surface area of the tank

One third of the radius of the tank

One third of the height of the tank

The total area of the base of the tank
Mathematics
1 answer:
defon3 years ago
8 0
"One third of the height of the tank" is the one among the following choices given in the question that shows the volume of the tank. The correct option among all the options that are given in the question is the third option or the penultimate option. I hope that this is the answer that has come to your desired help.
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4 QUESTIONS FOR 50 POINTS!!!!!! PLEASE HELP!!
melisa1 [442]

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A </span>linear inequality<span> divides the coordinate plane into </span>two <span>halves by a boundary line where one half represents the solutions of the </span>inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.<span>A way to solve a linear system algebraically is to use the substitution method. 

</span>The graphs of equations<span> within a </span>system<span> can </span>tell<span> us how </span>many solutions<span> exist for </span>Infinite Solutions<span>. </span>If <span>the graphs of the </span>equations<span> intersect, then there is </span>one solution<span> that is true for  Looking at the graph does </span>not tell<span> us exactly where that point is, but we don't So a </span>system<span> made of two intersecting lines </span>has one solution.
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6 0
3 years ago
A body moves s metres in a time t seconds so that s = t3 – 3t2 + 8. Find:
Lady bird [3.3K]

Using derivatives, it is found that:

i) v(t) = 3t^2 - 6t

ii) 9 m/s.

iii) a(t) = 6t - 6

iv) 6 m/s².

v) 1 second.

<h3>What is the role of derivatives in the relation between acceleration, velocity and position?</h3>
  • The velocity is the derivative of the position.
  • The acceleration is the derivative of the velocity.

In this problem, the position is:

s(t) = t^3 - 3t^2 + 8

item i:

Velocity is the <u>derivative of the position</u>, hence:

v(t) = 3t^2 - 6t

Item ii:

v(3) = 3(3)^2 - 6(3) = 27 - 18 = 9

The speed is of 9 m/s.

Item iii:

Derivative of the velocity, hence:

a(t) = 6t - 6

Item iv:

a(2) = 6(2) - 6 = 6

The acceleration is of 6 m/s².

Item v:

t for which a(t) = 0, hence:

6t - 6 = 0

6t = 6

t = \frac{6}{6}

t = 1

Hence 1 second.

You can learn more about derivatives at brainly.com/question/14800626

7 0
2 years ago
Colin has several bottles of water. Each bottle of water holds 3 cups. During the day, he drinks 7 cups of water. How many bottl
Natasha_Volkova [10]
Divide total cups he drank by the # of cups in each bottle.

7 ÷ 3= 2.3333

Since each bottle only holds 3 cups, he drank 3 bottles of water. He didn't drink all the water in the third bottle, but he started drinking the third bottle.

ANSWER: 3 bottles

Hope this helps! :)
4 0
3 years ago
Image of problem attached
AlexFokin [52]

Answer:

g(x)=f(x+1)

h(x)=f(x)+3

6 0
2 years ago
ILL GIVE BRAINLIEST (EASY STUFF)
insens350 [35]
7 multiplied by 11 is 77. And to get 462, (and based on the given information), we can conclude that it is 3*2*7*11.
3 0
3 years ago
Read 2 more answers
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