What is the slope of the following points? (11, 9) and (12, 12)

bezimeni [28]

8 * 3/4

Multiply 8 by 4 to get 32 then divide 32 by 3 to get 3.6 repeating

3/3 is basically 1 so its still 3.6

3.6 is 3 3/5

-XCalypso

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5 0

3 years ago

Isn’t it just 5? Why would it say check all that apply

LenKa [72]

Answer: $25^\frac{1}{2}$

Step-by-step explanation:

25 = 5*5 or -5 * -5

yes, that is correct. However, you forgot another property of roots. Roots are simply exponential fractions.

$\sqrt[n]{x^m}=x^\frac{m}{n}$

Therefore, $\sqrt{25}$ can also be rewritten as: $25^\frac{1}{2}$ . Notice that it cannot be -25 because that would be a negative square root which will give us an imaginary number.

4 0

3 years ago

Read 2 more answers

The city of Anvil is currently home to 21000 people, and the population has been growing at a continuous rate of 4% per year. Th

Yanka [14]

Answer:

They'll reach the same population in approximately 113.24 years.

Step-by-step explanation:

Since both population grows at an exponential rate, then their population over the years can be found as:

$\text{population}(t) = \text{population}(0)*(1 + \frac{r}{100})^t$

For the city of Anvil:

$\text{population anvil}(t) = 21000*(1.04)^t$

For the city of Brinker:

$\text{population brinker}(t) = 7000*(1.05)^t$

We need to find the value of "t" that satisfies:

$\text{population brinker}(t) = \text{population anvil}(t)\\21000*(1.04)^t = 7000*(1.05)^t\\ln[21000*(1.04)^t] = ln[7000*(1.05)^t]\\ln(21000) + t*ln(1.04) = ln(7000) + t*ln(1.05)\\9.952 + t*0.039 = 8.8536 + t*0.0487\\t*0.0487 - t*0.039 = 9.952 - 8.8536\\t*0.0097 = 1.0984\\t = \frac{1.0984}{0.0097}\\t = 113.24$