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tigry1 [53]
4 years ago
8

An inverted pyramid is being filled with water at a constant rate of 50 cubic centimeters per second. The pyramid, at the top, h

as the shape of a square with sides of length 8 cm, and the height is 15 cm. Find the rate at which the water level is rising when the water level is 3 cm.

Mathematics
2 answers:
Ipatiy [6.2K]4 years ago
7 0

Answer:

19.53125 cm/s

Step-by-step explanation:

h : s

15 : 8

s/h = 8/15

s = 8h/15

V = ⅓×s²×h

V = ⅓(8h/15)²×h = 64h³/675

dV/dh = 64h²/225

At h=3,

dV/dh = 64(3²)/225 = 64/25

dh/dV = 25/64

dV/dt = 50

dh/dt = dh/dV × dV/dt

= 25/64 × 50

= 19.53125 cm/s

klio [65]4 years ago
3 0

Step-by-step explanation:

Below is an attachment containing the solution.

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Answer:

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5 0
3 years ago
Apply the distributive property to create an equivalent expression. ( 1 -2g +4h)x5
ivolga24 [154]

Answer:

x^5-2gx^5+4hx^5

Step-by-step explanation:

The given expression is (1-2g+4h)x^5

The distributive property is given by

a(b+c)=ab+ac

Using the distributive property, distribute x^5 over the parenthesis

1\cdotx^5-2g\cdotx^5+4h\cdotx^5

On simplifying, we get

x^5-2gx^5+4hx^5

Therefore, the equivalent expression is x^5-2gx^5+4hx^5

4 0
4 years ago
Read 2 more answers
What is the scale factor from ABC to DEF?​
ollegr [7]

Answer:

C

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, so

scale factor = \frac{EF}{BC} = \frac{11}{66} = \frac{1}{6} → C

8 0
3 years ago
Timothy is filling fish bowls with pebbles at his fish store. He wants to have $\frac{1}{6}$ of a pound of pebbles in each fish
Luba_88 [7]

Answer:

14

Step-by-step explanation:

Given that:

Each fish bowl to have pebbles of weight equivalent to = \frac{1}{6}

Total pounds of pebbles that Timothy can use = 2\frac{1}{3}

To find:

The greatest value of Total number of fish bowls that Timothy can fill ?

Solution:

First of all, we need to convert mixed fraction into a fractional number and then we also need to see division of two fractions.

Formula:

1. \ p\dfrac{q}{r} = \dfrac{p\times r+q}{r}\\2. \ \dfrac{\frac{a}{b}}{\frac{c}d}=\dfrac{a\times d}{b\times c}

Now, the given mixed fraction can be converted to fractional number as:

2\dfrac{1}{3} = \dfrac{2\times 3+1}{3} = \dfrac{7}{3}

Now, To find the total number of fish bowls that can be filled, we need to divide the total number of pounds with number of pounds of pebbles in each fish bowl.

So, the answer is:

\dfrac{\frac{7}{3}}{\frac{1}{6}}\\\Rightarrow \dfrac{7\times 6}{3\times 1}\\\Rightarrow \dfrac{42}{3}\\\Rightarrow \bold{14}

<em>14</em> number of fish bowls can be filled.

3 0
3 years ago
Question 5 (5 points)
algol13

Answer:

B. -2x-6

Step-by-step explanation:

First distribute the minus sign (remember that the "-" is actually a "-1")

3x-5+-5x-1

Now group like terms

3x-5x-5-1

And solve

-2x-6

3 0
3 years ago
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