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stealth61 [152]
3 years ago
8

Gragh h(t) = 400 − 39t − 157e−t/4

Mathematics
1 answer:
Paraphin [41]3 years ago
3 0
The graph of h(t) = 400 - 39t - 157e^{ \frac{t}{4} } is attached.

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Samuel is x year old and
pogonyaev

Answer:

Samuel : x

wife : y

sum of their age : 2+ x : 10

8 0
2 years ago
If L=√(x^2+y^2), dx/dt =-4, dy/dt=3, find dL/dt when x=4 and y=3
yulyashka [42]

Hello,

L=\sqrt{x^2+y^2} \\\\\dfrac{dx}{dt}=-4\\\\\dfrac{dy}{dt}=3\\\\x=4, y=3\\\\\dfrac{\partial L} {\partial x} =\dfrac{x}{\sqrt{x^2+y^2}} \\\\\dfrac{\partial L} {\partial y} =\dfrac{y}{\sqrt{x^2+y^2}} \\\\\dfrac{dL}{dt} =\dfrac{\partial L} {\partial x}*\dfrac{dx}{dt}+\dfrac{\partial L} {\partial y}*\dfrac{dy}{dt}\\\\=-4*\frac{-4}{\sqrt{4^2+3^2}} +3*\frac{3}{\sqrt{4^2+3^2}}\\\\=\dfrac{16}{5} +\dfrac{9}{5} \\\\=5\\

5 0
2 years ago
Divide the 4th degree polynomial
iragen [17]

Answer:

  • quotient: 10x +16
  • remainder: 28x^2 +10x +22

Step-by-step explanation:

The attachment shows the steps.

  quotient: 10x +16

  remainder: 28x^2 +10x +22

_____

Polynomial long division is easier than numerical long division because you only need to examine the first terms to determine the quotient term.

The first quotient term is 10x^4/x^3 = 10x.

The second quotient term is 16x^3/x^3 = 16.

When the leading dividend term is lower degree than the divisor, that dividend is the remainder.

4 0
3 years ago
Choose the correct answers for amount financed and the finance charge in dollars for the following problem. Curtis Hindle purcha
gulaghasi [49]

<u>Answer:</u>

Total paid = $717.3

Finance charge = $167.3

<u>Step-by-step explanation:</u>

The cost price of mountain bike = $550

The down payment on bike = 75% of $550 = 0.75 * 550 = $412.5

We know that he will make 12 payments of $25.40 each so total monthly payments = 12 * 25.40 = $304.8

The total amount paid = Down payment + Total monthly payments = $412.5 + $304.8 = $717.3

The finance charge = Total amount paid - Cost price = $717.3 - $550 = $167.3

3 0
3 years ago
What is Esthers error
MAXImum [283]

Answer:

Esther didn't divide the area of the faces by 2.

The correct surface area is 72 cm^2

Step-by-step explanation:

Esther didn't divide the area of the faces by 2.

The correct surface area is:

(4 * 4) + 4((4 * 7)/2)

16 + 4(28/2)

16 + 4(14)

16 + 56 = 72 cm^2

6 0
3 years ago
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