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Illusion [34]
3 years ago
15

PLEASE HELP ASAP 25 PTS

Mathematics
1 answer:
liraira [26]3 years ago
8 0

the power property yep

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Which of the following is the solution to the differential equation dP/dt+P=10 with the initial condition P(0)=4
Ber [7]

Answer:

  •    Option C.    P=10-6e^{-t}

Explanation:

<u>1. Separate variables:</u>

      \dfrac{dP}{dt}+P=10\\ \\ \\ \\\dfrac{dP}{dt}=-P+10\\ \\ \\ \dfrac{dP}{-P+10}=dt

<u></u>

<u>2. Find the indefinite integrals</u>

    -\ln{(10-P)}=t+C

<u></u>

<u>3. Solve for P</u>

      10-P=e^{-t+C}\\ \\ 10-P=Ke^{-t}\\ \\ P=10-Ke^{-t}

<u></u>

<u>4. Use the initial condition, P(0) = 4, to find K:</u>

  • 4 = 10 - K(e⁰)
  • 4 = 10 - K
  • K = 10 - 4
  • K = 6

<u></u>

<u>5. Substitute K = 6 into the integrated equation:</u>

       P=10-6e^{-t}

That is the option C.

4 0
3 years ago
What is the value of x ? write your answers in the blanks 5x+5+95=180
katrin [286]

Answer:

............................................

7 0
3 years ago
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What percentage did you tip if your lunch was $12 and you left $2.67? Enter your answer with a "%"
Goryan [66]
0.32% is the answer and i need 20 characters to type this answer so dont mind this.
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Which expression is equivalent to the given expression?
Marianna [84]
10q + 5

A. 5q + 5q + 5 is your answer, since 5q + 5q = 10q, and the question is 10q + 5


A) 5q + 5q + 5    

remember to only add like variables
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Determine the domain on which of the following function is increasing
AlekseyPX

Given:

The graph of a function.

To find:

The domain on which of the following function is increasing.

Solution:

Domain is the set of x-values or input values.

From the given graph it is clear that the vertex of the given function is at (4,75).

Before the point (4,75) the graph is increasing and after the point (4,75) the graph is decreasing.

The function is defined for 0\leq x\leq 9.

Since the graph is increasing when 0\leq x\leq 4, therefore the function is increasing over the interval [0,4].

Therefore, the domain on which of the following function is increasing is [0,4].

4 0
3 years ago
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