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3 years ago

6

A cube has a surface area of 726 square yards. Find the volume of the cube.

1 answer:

leva [86]3 years ago

3 0

That is how u work the problem

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What does g(x) equal for number 4?

Arisa [49]

G(x) is a quadratic function with a parabolic graph that opens up and has vertex at (0,0). If we dilate this vertically by a factor of 6, we get h(x) = 6x^2.

If we translate the graph of h(x) 1 unit up and 4 units to the right, we get

k(x) = 6(x-4)^2 + 1.

3 0

3 years ago

The length of a rectangular prism is 12 inches, and its width is 8 inches. The height of the prism is 16 inches. What is the sur

finlep [7]

Answer:

The answer to your question is letter B

Step-by-step explanation:

Data

length = 12 in

width = 8 in

height = 16 in

surface area = ?

Formula

Surface area = 2( length x width) + 2(length x height) + 2((width x height)

Substitution

Surface area = 2(12 x 8) + 2(12 x 16) + 2(8 x 16)

Simplification

Surface area = 256 + 384 + 102

Result

Surface area = 832 in²

7 0

3 years ago

Two lines that intersect at 90 degree angles

Molodets [167]

That would be a right angle

3 0

3 years ago

Newton's law of cooling is:

Mnenie [13.5K]

Answer:

$t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr$

So it would takes approximately 6.9 hours to reach 32 F.

Step-by-step explanation:

For this case we have the following differential equationÑ

$\frac{du}{dt}= -k (u-T)$

We can reorder the expression like this:

$\frac{du}{u-T} = -k dt$

We can use the substitution $w = u-T$ and $dw =du$ so then we have:

$\frac{dw}{w} =-k dt$

IF we integrate both sides we got:

$ln |w| = -kt +C$

If we apply exponential in both sides we got:

$w = e^{-kt} *e^c$

And if we replace w = u-T we got:

$u(t)= T + C_1 e^{-kt}$

We can also express the solution in the following terms:

$u(t) = (T_i -T_{amb}) e^{kt} +T_{amb}$

For this case we know that $k =-0.15 hr$ since w ehave a cooloing, $T_{i}= 70 F, T_{amb}=11F$ , we have this model:

$u(t) = (70-11) e^{-0.15t} +11$

And if we want that the temperature would be 32F we can solve for t like this:

$32 = 59 e^{-0.15 t} +11$

$21=59 e^{-0.15 t}$

$\frac{21}{59} = e^{-0.15 t}$

If we apply natural logs on both sides we got:

$ln (\frac{21}{59}) =-0.15 t$

$t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr$

So it would takes approximately 6.9 hours to reach 32 F.

7 0

3 years ago

The probability that an event will occur is 2/3 what is the best answer of this event likely occurring

Oduvanchick [21]

It's likely that the event will occur.

6 0

3 years ago