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3 years ago

Solve the equation 11-p=19

Mathematics

1 answer:

Aloiza [94]3 years ago

3 0

You subtract 11 from 19 and then the answer is 8

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The volume of a rectangular box with a square base remains constant at 500 cm3 as the area of the base increases at a rate of 10

serious [3.7K]

Answer:

The rate of change of the height of the box at which is decreasing is $\frac{5000}{130321}$ centimeters per second.

Step-by-step explanation:

From Geometry the volume of a rectangular box ( $V$ ), measured in cubic centimeters, with a square base is modelled by the following formula:

$V = A_{b}\cdot h$ (Eq. 1)

Where:

$A_{b}$ - Area of the base, measured in square centimeters.

$h$ - Height of the box, measured in centimeters.

The height of the box is cleared within the formula:

$h = \frac{V}{A_{b}}$

If we know that $V = 500\,cm^{3}$ and $A_{b} = 361\,cm^{2}$ , then the current height of the box is:

$h = \frac{500\,cm^{3}}{361\,cm^{2}}$

$h = \frac{500}{361}\,cm$

The rate of change of volume in time ( $\frac{dV}{dt}$ ), measured in cubic centimeters per second, is derived from (Eq. 1):

$\frac{dV}{dt} = \frac{dA_{b}}{dt}\cdot h + A_{b}\cdot \frac{dh}{dt}$ (Eq. 2)

Where:

$\frac{dA_{b}}{dt}$ - Rate of change of the area of the base in time, measured in square centimeters per second.

$\frac{dh}{dt}$ - Rate of change of height in time, measured in centimeters per second.

If we get that $\frac{dV}{dt} = 0\,\frac{cm^{3}}{s}$ , $\frac{dA_{s}}{dt} = 10\,\frac{cm^{2}}{s}$ , $h = \frac{500}{361}\,cm$ and $A_{b} = 361\,cm^{2}$ , then the equation above is reduced into this form:

$0\,\frac{cm^{3}}{s} = \left(10\,\frac{cm^{2}}{s} \right)\cdot \left(\frac{500}{361}\,cm \right)+(361\,cm^{2})\cdot \frac{dh}{dt}$

Then, the rate of change of the height of the box at which is decreasing is:

$\frac{dh}{dt} = -\frac{5000}{130321}\,\frac{cm}{s}$

The rate of change of the height of the box at which is decreasing is $\frac{5000}{130321}$ centimeters per second.

5 0

3 years ago

Which expressions equals 9^3 sqrt 10

matrenka [14]

5^3 Sartre 10 + 4^3 sqrt 10

5 0

3 years ago

A 20-ounce soda cost $1.20. How much does the soda cost per ounce?

Andre45 [30]

Answer:

Your answer is 0.06, hun!

Step-by-step explanation:

1.20 divided by 20 = 0.06

Stay happy-Livia

3 0

2 years ago

What is the equation using to calculate the slope from two points????

Mariulka [41]

Go to this link and they will teach you
https://www.khanacademy.org/math/algebra/two-var-linear-equations/slope/v/slope-of-a-line-2

5 0

3 years ago

Read 2 more answers

What is -2/9(2x-9) help plz

garri49 [273]

Answer:

Step-by-step explanation:

-2/9(2×-9)

-2/9(-18)

(-2×-18)/9

-2×-2

3 0

3 years ago