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2 years ago

A researcher determines that the number of bacteria increase at a rate modeled by =25*2^x. What is the growth rate?

Mathematics

1 answer:

dolphi86 [110]2 years ago

5 0

Answer:

100%

Step-by-step explanation:

An exponential equation with a growth rate can be expressed as: $f(x)=A(1+r)^x$ where r is a positive number, and represents the growth rate.

In this case since the base of the exponent equals 2, that means r=1, since 1+1=2. This means it has a growth rate of 100%, which makes sense, since the base is 2, meaning it doubles or increases by 100% every time x increases by 1.

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A regular decagon has sides that are 8 cm long. What is the area of the figure? Round to the nearest whole number.

blsea [12.9K]

<u>Given</u>:

Given that the regular decagon has sides that are 8 cm long.

We need to determine the area of the regular decagon.

<u>Area of the regular decagon:</u>

The area of the regular decagon can be determined using the formula,

$A=\frac{s^{2} n}{4 \tan \left(\frac{180}{n}\right)}$

where s is the length of the side and n is the number of sides.

Substituting s = 8 and n = 10, we get;

$A=\frac{8^{2} \times 10}{4 \tan \left(\frac{180}{10}\right)}$

Simplifying, we get;

$A=\frac{64 \times 10}{4 (\tan \ 18)}$

$A=\frac{640}{4 (0.325)}$

$A=\frac{640}{1.3}$

$A=642.3$

Rounding off to the nearest whole number, we get;

$A=642 \ cm^2$

Thus, the area of the regular decagon is 642 cm²

Hence, Option B is the correct answer.

5 0

3 years ago

Explain in a complete sentence how to tell the difference between the power of power and the power of product rule. Please help

german

Answer:

Step-by-step explanation:

The power of a power rule is when power is raised to another power. (x^n)^m. when you do this rule, you must multiply the exponents so, x^nm or x^n*m.

The product rule for exponents is used when there are multiple terms that are raised by an exponent that have the same base and ae being multiplied. x^3 * x^2. To solve this, you keep the base (x) and add the two exponents together (3 and 2) so, x^3+2 = x^5.

Hope this helped (:

4 0

3 years ago

You use the compass to draw a circle. What will be the area of the circle?

Greeley [361]

Answer:

are there any answer choices

Step-by-step explanation:

i believe its 18

sry if im wrong

8 0

3 years ago

Andy takes an average of 12 breaths per minute About how many breaths did Andy take by the time he turned 13 years old?

Diano4ka-milaya [45]

6832800 breathes in 13 years exactly

6 0

3 years ago

HELP FAST!!

katrin2010 [14]

I got b I think that’s the answer

3 0

3 years ago