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Norma-Jean [14]
3 years ago
13

Is y=6|x|-5 a function

Mathematics
1 answer:
Paul [167]3 years ago
3 0
Yep it is, it has an input and an output or whatever
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If a room temperature roast cools from 68°F to 25°F in 5 hours at freezer temperature of 20°F,
Deffense [45]

Answer:

9 hours

Step-by-step explanation:

According to Newton's laws of cooling

dT/dt = -k(T - A)

Let U = T - A

dU/dT = 1

dU = dT

dt/dt = -kU

dT = -kU(dt)

dU/U = -kdt

On integration

ln(U) = -kt + C

U = Ce^-kt

T - A = Ce^-kt

T(0) = 68

T(5) = 25

68 - 20 = Ce^-k(0)

C = 48

and

25 -20 = 48e^-k(5)

5 = 48e^-5k

e^-5k = 5/48

-5k = ln (5/48)

k = - ln(5/48) / 5

k = - 0.4524

T - 20 = 48e^-0.4524t

When T = 21

21 -20 = 48e^-0.4524t

1 = 48e^-0..4524t

e^-0.4524t = 1/48

-0.4524t = ln (1/48)

t = - ln(1/48) / 0.4524

t = 8.5570

t= 9 hours ( to the nearest hour)

5 0
3 years ago
Which one of the following statements is true?
Katarina [22]

Answer:

A

Step-by-step explanation:

Because the gravity of the earth

3 0
3 years ago
Read 2 more answers
Is g(s)=4s^2/3 an odd function?
Vikki [24]
Function\ is\ od\ if:\\
g(-s)=-g(s) \\\\
Checking\ g(-s):\\
g(-s)=\frac{4(-s)^2}{3}=\frac{4s^2}{3}\\\\
Checking\ -g(s):\\\
-g(s)=-\frac{4s^2}{3}\\\\
g(-s) \neq -g(s)\\\\Function\ is\ not\ odd.
8 0
3 years ago
Evaluate t-u/v when t=2 u=(-8) v(-1/2)
Dovator [93]
Simple, plug n chug...

t- \frac{u}{v}

t=2

u=-8

v=-0.5

Now, plug in what you have,

2- \frac{-8}{-0.5}

\frac{-8}{-0.5} =16

Now,

2-16=-14

Thus, your answer, -14.
5 0
3 years ago
Find the area of the rectangle on this centimetre grid.
KiRa [710]

Answer:

Step-by-step explanation:

I think this question is not clear.

If you could explain/upload the centimeter grid it'd be explain.

But generally, what you should do is: calculate the number of centimeters on the longer side (length (l)) and note that, now calculate the number of centimeters on the shorter side (breadth(b)).

Use the formula, Area of a rectangle = l×b to solve your math problem

7 0
3 years ago
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