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3 years ago

15

Hunter's class voted on whether or not to do science fair projects in groups. 30% of the 40 votes were in favor of working in gr

oups. How many votes were in favor?

1 answer:

stellarik [79]3 years ago

7 0

Answer:

the answer is 12

Step-by-step explanation:

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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

What is the vertex of he graph?

s2008m [1.1K]

Answer:

(1,3)

Step-by-step explanation:

recall the vertex of a quadratic graph is simply the location where the graphs makes a u-turn.

in this case, the graph clearly makes a u-turn at x = 1 and y = 3

or the coordinates (1,3)

8 0

3 years ago

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For the bar graph, what is the total population surveyed?

Sergeeva-Olga [200]

Answer:

303

Step-by-step explanation:

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3 years ago

On Saturday and Sunday jarrod went running and burned a total of 6475 calories he burned 320 of those calories on Saturday which

nadya68 [22]

Answer:

The answer is B.

Step-by-step explanation:

It is saying that 647.5 calories is the total amount and 320 is a part of it. so when you do 647.5-320, it becomes 327.5 and that is c. You can only do this with the equation that letter B is saying.

3 0

3 years ago

Please help. For each box, just number them. Example: The top box is 1, the middle box is 2, and the third box is 3.

Feliz [49]

Answer:

box 1=4

20/5= 4 (if you divide the others by x and y they equal 4)

box 2=512

if every square mile has 4 squirrels. then you multiply 128×4=512

box 3=81 because you divide 324/4=81

4 0

3 years ago

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