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3 years ago

How can you find the equation?

Mathematics

2 answers:

Ira Lisetskai [31]3 years ago

8 0

First you plug your slope and coordinates and when you finish that you do your second step which is multiplying the slope by the x-coordinate of the point and then you subtract the amount from the y-intercept of the point and for last you solve for the y-intercept.

katrin2010 [14]3 years ago

7 0

The equation is 2x (or x multiplied by 2) because if you divided 32/16 or 20/10 and so on, all answers will give you the number 2

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If the cost of 10 tables is $750. Find the number of tables that can be purchased with $8250.

Luden [163]

Your answer is 110. You take 10 and divide it by 750. = 75 then you take 75. Divided 8250. = 110

4 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

3 1/2 divided by 2 1/4

liberstina [14]

3 1/2 divided by 2 1/4 = 1.55555556

1.55555556 Rounded is 1.55

8 0

3 years ago

I don't understand can some one help me plz

vaieri [72.5K]

The answer is 7.76 because the fraction written as a decimal would be 7.76 and not any of the other choices they want you to find which number is equal to the fraction number

6 0

3 years ago

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Which graph represents the equation (x-3)^2 + y^2 =16

Goryan [66]

Answer:

Step-by-step

Correct on Edge

6 0

3 years ago

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