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lord [1]
2 years ago
8

Explain why or why not 19.7 is reasonable value for the expression 122.14 divided by 6.2

Mathematics
2 answers:
evablogger [386]2 years ago
7 0
Reasonable to estimate that 120/6 = 20 (because 20*6=120)...so you know it's going to be close and therefore "reasonable"
Marina CMI [18]2 years ago
6 0
Do 120/6 = 20
It is close to 19.7
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I will give Brainiest if you are right
Sonbull [250]

Answer:

B

Step-by-step explanation:

It’s B

8 0
2 years ago
A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the
serious [3.7K]

Answer:

The equation is A=6000e^{-0.23t}  at a rate of -23%.

Step-by-step explanation:

Decay can be represented by the equation A=A_0e^{rt}. We can find the rate at which it decays by using t=3 hours and A=3000. This means A_0=6000 in this context.

A=A_0e^{rt}\\3000=6000e^{r(3)}

0.5=e^{(24.5)r}

After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.

ln 0.5=ln e^{(3)r}\\ln 0.5=3r (ln e)\\\frac{ln0.5}{3} =r

We know lne=1 so we were able to cancel it out and divide both sides by 3.

We solve with a calculator \frac{ln0.5}{3} =r\\-0.23=r

We change -0.23 into a percent by multiplying by 100 to get -23% as the rate.

The equation is A=6000e^{-0.23t}


5 0
3 years ago
Please help with these
kherson [118]

The answers are as follows.

a. 9x

In order to get this, you need to reevaluate 64 as a base of 4. Since 64 is equal to 4^3, we can rewrite the right side as

64^3x = (4^3)^3x = 4^9x

Which gives you the first answer.

b. 10

Similar to the first problem, we need to express 16 as a base of 2. 2^4 is equal to 16, so we use that in it's place and simplify.

16^5/2 = (2^4)^5/2 = 2^20/2 = 2^10

c. Sqrt(7.31)

This one is more simple. Raising something to a 1/2 power (.5) is the same as taking the square root.

4 0
3 years ago
Roger picked 56 berries in 8 minutes. At that rate, how many berries did he pick in 1 minute?
Veseljchak [2.6K]

Answer:

7

Step-by-step explanation:

58 divided by 8 is 7

4 0
3 years ago
Read 2 more answers
Solve for b:<br>10abc - 2d = 3d​
gulaghasi [49]

Answer:

b = d/(2ac)

Step-by-step explanation:

10abc - 2d = 3d

Add 2d to each side

10abc - 2d+2d = 3d+2d

10 abc = 5d

Divide each side by 10ac

10 abc/ (10ac) = 5d/10ac

b = d/(2ac)

3 0
3 years ago
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