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VMariaS [17]
3 years ago
11

The area of a base of a cylindrical water tank is 12π square feet. the volume of water in the tank is dependent on the height of

the water (h) and is represented by the function V(h) = 12π h
part a - find V to the power of -1 (h)
part b - what will the height of the water be when the volume reacher 420π cubic feet
Mathematics
1 answer:
Alex73 [517]3 years ago
8 0

Answer:

Step-by-step explanation:

V^-1(h)is find inverse function=h / 12π

V=12πh=420π

h=420π/12π=35 feet

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4<br><img src="https://tex.z-dn.net/?f=4x%20-%203%20%3D%202x%20%2B%207%20find%20x%20" id="TexFormula1" title="4x - 3 = 2x + 7 fi
natima [27]

Answer:

x=5

Step-by-step explanation:

That is your answer .

First you do 4x-3+3=2x+7+3

then,4x=2x+10,then

subtract 2x from both side

4x-2x=2x+10-2x

simplify

2x=10

divide both sides by 2 2x/2=10/2

simplfy and you get x=5

Hope this helps :)

4 0
3 years ago
Ok needed asap and likee go in order
Ksenya-84 [330]

Answer:

4. A

5. B

6. C

Step-by-step explanation:

4.

In total there are 12 possible shakes.

The combinations are:

ice cream - pineapple - peanuts

ice cream - pineapple - granola

ice cream - strawberry - peanuts

ice cream - strawberry - granola

ice cream - banana - peanuts

ice cream - banana - granola

yogurt - pineapple - peanuts

yogurt - pineapple - granola

yogurt - strawberry - peanuts

yogurt - strawberry - granola

yogurt - banana - peanuts

yogurt - banana - granola

Therefore the chance is 1/12 for the combination ice cream, pineapple and granola.

5.

To find the total possible outcomes, count the last value in the tree diagram. There are 8 possible outcomes.

6.

Find the total number of balls by adding each of the colours.

1 + 3 + 8 = 12

There is 1 red ball. The probability of getting a red ball out of the total is 1/12.

The probability in words ordered in comparison to the fractions:

impossible-----unlikely------------likely-------------certain

0/12------------ 1/12--5/12--------7/12---11/12----------12/12

Since 1/12 is between 1/12 and 5/12, the possibility is unlikely.

8 0
4 years ago
Write the Cubic Function with the following
OlgaM077 [116]

Answer:

Answer:

y = -5(x - 7)^3 - 1

Step-by-step explanation:

You kind of just plug in the numbers.

a vertical stretch by a factor of ​5: y = 5x^3

a reflection across the​ x-axis: y = -5x^3

a vertical translation 1 unit down: -5x^3 - 1

a horizontal translation 7 units right: -5(x - 7)^3 -1

Step-by-step explanation:

8 0
3 years ago
Which expression is a way to represent the ratio of a to b?
Trava [24]
The answer would be C.. It can also be written as a:b or a to b
4 0
3 years ago
Which property justifies the fact that 8(d-5) is equivalent to 8d-40
zvonat [6]
Distributive Property because 8*d= 8d & 8*5 = 40   
3 0
3 years ago
Read 2 more answers
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