3 years ago

Solve for x. –4.5(x – 8.9) = 12.6 OVEC Enter your answer, as a decimal, in the box.

Mathematics

1 answer:

Gnoma [55]3 years ago

3 0

Step-by-step explanation:

just take -4.5 the right side

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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:

1. Separate variables:

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

2. Find the indefinite integrals

$-\ln{(10-P)}=t+C$

3. Solve for P

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

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

4 = 10 - K(e⁰)

4 = 10 - K

K = 10 - 4

K = 6

5. Substitute K = 6 into the integrated equation:

$P=10-6e^{-t}$

That is the option C.

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3 years ago

Greg took a trip for 21 days. He took an average of 36 black-and-white photos and 60 color photos every day. How many more color

kumpel [21]

Answer:

i think the answer is 504

Step-by-step explanation:

multiply 36 by 21

multiply 60 by 21

subtract

Hope this helps my dude! :- )

4 0

4 years ago

Find the length of side a in the right triangle if b=3 and c=5

JulsSmile [24]

A^2 + 3^2 = 5^2
a^2 + 9 = 25
a^2 = 16
a^2 = (square root)16
a = 4

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3 years ago

For every 1 litre of water used to make a medicine, 199ml of sucrose and 271ml of saline solution are used. Express the amount o

sashaice [31]

Answer:

Step-by-step explanation:

water = 1 litre = 1000 ml

water : sucrose : saline = 1000 : 199 : 271

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4 years ago

PLEASEEEEE HELP ME PLEASE WILL MAR AS BRANLIEST!!!!!!!!!!

mylen [45]

That is right. Angle 2 to side 2 to angle 1 for both of them.The second triangle is just the first upside down.

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3 years ago