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AveGali [126]
3 years ago
8

Solve 5c + 4 = −26.

Mathematics
1 answer:
Andreas93 [3]3 years ago
5 0

Answer: c=-6

Step-by-step explanation:

First let's subtract 4 from both sides

5c+4-4=-26-4\\5c=-30

Now we can divide 5 on both sides

\frac{5c}{5} =\frac{-30}{5} \\c=-6

We can sub -6 back in to the original equation to check the answer

5(-6)+4=-26\\-30+4=-26\\-26=-26

It checks out!

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Answer:

T =84.7\°F

Step-by-step explanation:

Newton's cooling model is:

T(t) =T_0 + (T_i-T_0)e^{-kt}

Where

t is the time in hours

T_0 is the ambient temperature

T_i is the initial temperature of the body

k=0.34

We know that:

T_0=76\°F

T_i=170\°F

Then after 7 hours the temperature of the liquid will be:

T(7) =76 + (170-76)e^{-0.34(7)}

T =84.7\°F

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remy would be correct

Step-by-step explanation:

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A 36-foot-tall tree casts a 9-foot shadow. How tall is a nearby tree that casts a 14-foot shadow at the same time?
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Answer:

Proportion states that the two fractions or ratios are equal.

Given the statement: A 36-foot-tall tree casts a 9-foot shadow.

To find the height of the nearby tree that cast a 14 foot shadow at the same time.

Let x be the height of the nearby tree.

By definition of proportion;

\frac{\text{Height of thetall tree}}{\text{Shadow of the tall tree}} =\frac{\text{Height of the nearby tree}}{\text{Shadow of the nearby tree}}

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