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Kitty [74]
3 years ago
8

Plzz answer I don't understand

Mathematics
1 answer:
nadezda [96]3 years ago
4 0
Height is 18 for question 3.
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Let h(x) = e^(kx) + f(x),
Anestetic [448]
\bf h(x)=e^{kx}+f(x)\implies \cfrac{dh}{dx}=ke^{kx}+f'(x)
\\\\\\
\begin{cases}
x=0\\
f'(0)=-8
\end{cases} 
h'(0)=ke^{k(0)}+(-8)\implies h'(0)=k-8
3 0
3 years ago
After sitting in a refrigerator for a while, a turkey at a temperature of 34 degrees F is placed on the counter and slowly warms
Anton [14]

Answer:

  • k = 0.006
  • T = 48 °F

Step-by-step explanation:

The initial temperature difference of 72 -34 = 38 °F is reduced to a difference of 72 -41 = 31 °F after 35 minutes. The exponential term in the temperature expression could have the factor ...

  (31/38)^(t/35) = e^(-kt)

Taking the natural log, we find ...

  (t/35)ln(31/38) = -kt

  k = ln(38/31)/35 ≈ 0.00581711

To the nearest thousandth, this is ...

  k ≈ 0.006

Using this in the equation for temperature, we have ...

  T = 72 -38e^(-0.006t)

Filling in the desired value for t (80), we find the turkey temperature after 80 minutes to be about

  T = 72 -38e^(-.006×80) = 72 -38e^-.48 ≈ 48.49

  T ≈ 48 °F

The value of k is about 0.006, and the turkey temperature is about 48 °F.

4 0
3 years ago
Solve algebraically. <br> 3x + y =3 <br> Y = 2x - 7
Annette [7]
<span>3x + y =3 
Y = 2x - 7

substitute </span>Y = 2x - 7 into  3x + y =3 
3x + y =3 
3x +2x - 7 =3 
5x = 10
x = 2

Y = 2x - 7 = 2(2) - 7 = -3

answer
(2, -3)


4 0
3 years ago
Read 2 more answers
Rearrange and evaluate : 20 x 125 x 50 × 8 pls give ans fast
bixtya [17]

Step-by-step explanation:

8×20×50×125=1000000.....

Answer

hope it help

in case of any confusion comment

3 0
3 years ago
Read 2 more answers
Nate paid $108 for a food bill that included a 15% tip. Using a decimal equivalent to the percent, write an equation to find the
spin [16.1K]

The solution is in the attachment

3 0
3 years ago
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