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3 years ago

Solve −6x+6−7=2x+8 for x. How would I solve this?

Mathematics

1 answer:

MakcuM [25]3 years ago

7 0

Answer:

Step-by-step explanation:

−6x+6−7=2x+8

-1-8=2x+6x

8x=-9

x= - $\frac{9}{8}$

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What is 160 ÷ 55 in the numerous fraction?

Reil [10]

160/55.
Simplified version is 32/11

5 0

4 years ago

The rate of change of the number of squirrels S(t) that live on the Lehman College campus is directly proportional to 30 − S(t),

pishuonlain [190]

Answer:

S(3)=22

Step-by-step explanation:

The rate of change of the number of squirrels S(t) that live on the Lehman College campus is directly proportional to 30 − S(t).

$\dfrac{dS}{dt}=k(30-S(t))\\ \dfrac{dS}{dt}+kS(t)=30k\\$The integrating factor: e^{\int k dt}=e^{kt}\\$Multiply all through by the integrating factor\\ \dfrac{dS}{dt}e^{kt}+kS(t)e^{kt}=30ke^{kt}$

$(Se^{kt})'=30ke^{kt} dt\\$Integrate both sides\\ Se^{kt}=\dfrac{30ke^{kt}}{k}+C$ (C a constant of integration)\\Se^{kt}=30e^{kt}+C\\$Divide both sides by e^{kt}\\S(t)=30+Ce^{-kt}$

When t=0, S(t)=15

$15=30+Ce^{-k*0}\\C=15-30\\C=-15$

When t = 2, S(t)=20

$20=30-15e^{-2k}\\20-30=-15e^{-2k}\\-10=-15e^{-2k}\\e^{-2k}=\dfrac23\\$Take the natural log of both sides$\\-2k=\ln \dfrac23\\k=-\dfrac{\ln(2/3)}{2}$

Therefore:

$S(t)=30-15e^{\frac{\ln(2/3)}{2}t}\\$When t=3$\\S(t)=30-15e^{\frac{\ln(2/3)}{2} \times 3}\\S(3)=21.8 \approx 22$

8 0

3 years ago

How many 8's are in the answer and sum 5890/45?

Novay_Z [31]

Answer:

1. There are infinite 8's

2. The estimate is 130.89

3. The difference is 0.01

Explanation:

There are countless, or infinite, 8's in the answer because the result is a periodic decimal:

$\dfrac{5890}{45}=130.8888 . . .$

The notation used for the periodic decimal numbers is an arc over the number that is repeated. In this case, it would be an arc over the first 8.

I will use a bar just to show how it is, but instead of a bar it should be an arc:

$\dfrac{5890}{45}=130.\overline 8$

The estimation or approximation to two decimal places requires to drop the 8's since the third one and increase the second 8 to 9 (because the first decimal dropped is greater than or equal to 5).

Thus the estimated value would be 13.89.

The difference is:

130.89 - 130.888. . . = 0.0111. . .
Rounded to 2 decimal places: 0.01

3 0

3 years ago

(Multiple Choice Worth 4 points)

fgiga [73]

Rectangle A
P = 2l + 2w
P = 2(3x + 2) + 2(2x - 1)
P = 2(3x) + 2(2) + 2(2x) - 2(1)
P = 6x + 4 + 4x - 2
P = 6x + 4x + 4 - 2
P = 10x + 2

Rectangle B
P = 2l + 2w
P = 2(x + 5) + 2(5x - 1)
P = 2(x) + 2(5) + 2(5x) - 2(1)
P = 2x + 10 + 10x - 2
P = 2x + 10x + 10 - 2
P = 12x + 8

Rectangle B - Rectangle A
(12x + 8) - (10x + 2)
12x - 10x + 8 - 2
2x + 6

The correct answer is B.

5 0

3 years ago

ANSWER ASAP DONT SEND A FILE WHATS THE TRANSFORMATION??

Burka [1]

Answer:

2nd one.

Step-by-step explanation:

6 0

3 years ago