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1 year ago

WILL GIVE BRAINLIEST IF RIGHT

Mathematics

1 answer:

Semmy [17]1 year ago

4 0

28%
(10/36) * 100

hope this helps!

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Between x = 2 and x = 3, which function has a greater average rate of change than y = 1 3 -x ?

Fudgin [204]

Y = 1 3 -x = left[y \right] = \left[ 3-x\right][y]=[3−x]

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2 years ago

Is -2 a solution of 2x+8=2?

Katarina [22]

Answer:2x+8=2

2x=2-8

2x= -6 (devide both sides by 2 to get x)

2x/2 and -6/2

×=3

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

A large corporation starts at time t = 0 to invest part of its receipts continuously at a rate of P dollars per year in a fund f

Andrews [41]

Answer:

$A = \frac{P}{r}\left( e^{rt} -1 \right)$

Step-by-step explanation:

This is <em>a separable differential equation</em>. Rearranging terms in the equation gives

$\frac{dA}{rA+P} = dt$

Integration on both sides gives

$\int \frac{dA}{rA+P} = \int dt$

where $c$ is a constant of integration.

The steps for solving the integral on the right hand side are presented below.

$\int \frac{dA}{rA+P} = \begin{vmatrix} rA+P = m \implies rdA = dm\end{vmatrix} \\\\\phantom{\int \frac{dA}{rA+P} } = \int \frac{1}{m} \frac{1}{r} \, dm \\\\\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \int \frac{1}{m} \, dm\\\\\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \ln |m| + c \\\\&\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \ln |rA+P| +c$

Therefore,

$\frac{1}{r} \ln |rA+P| = t+c$

Multiply both sides by $r.$

$\ln |rA+P| = rt+c_1, \quad c_1 := rc$

By taking exponents, we obtain

$e^{\ln |rA+P|} = e^{rt+c_1} \implies |rA+P| = e^{rt} \cdot e^{c_1} rA+P = Ce^{rt}, \quad C:= \pm e^{c_1}$

Isolate $A$ .

$rA+P = Ce^{rt} \implies rA = Ce^{rt} - P \implies A = \frac{C}{r}e^{rt} - \frac{P}{r}$

Since $A = 0$ when $t=0$ , we obtain an initial condition $A(0) = 0$ .

We can use it to find the numeric value of the constant $c$ .

Substituting $0$ for $A$ and $t$ in the equation gives

$0 = \frac{C}{r}e^{0} - \frac{P}{r} \implies \frac{P}{r} = \frac{C}{r} \implies C=P$

Therefore, the solution of the given differential equation is

$A = \frac{P}{r}e^{rt} - \frac{P}{r} = \frac{P}{r}\left( e^{rt} -1 \right)$

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2 years ago

This table gives the minutes players spent practicing basketball free throws and the number of baskets they made when they were

kondor19780726 [428]

Answer:

0.79769, or 0.80 if you round it up

Step-by-step explanation:

8 0

2 years ago

A human body that is performing light work generates about 400 btus of the body heat per hour while active. if an office that is

Neporo4naja [7]

I got none of the above my answer is 1.6 BTUs/ft3. I did 400 x 8 x 3 for total BTUs = 9600 btus and the volume of the room was 20 x 30 x10 ft = 6000 cu ft so 9600/6000= 1.6 BTUs/ft3

6 0

2 years ago