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2 years ago

I NEED HELP ON SIMPLIFYING THIS SOMEONE HELP

Mathematics

2 answers:

devlian [24]2 years ago

8 0

Answer:

3^12

The last answer

Law Incorporation [45]2 years ago

5 0

Answer:

I think it is 3^8

Step-by-step explanation:

(3^5)^2

3^-2

3^10

3^-2

=3^8

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Find the geometric mean of 5 and 320. A. 35 B. 40 C. 45 D. 50

Softa [21]

Geometric mean of a and b is: $\sqrt{ab}$
$\sqrt{5*320}= \sqrt{1600}$ = 40
Answer: B ) 40

4 0

3 years ago

A bacteria colony increases in size at a rate of 4.0581e1.6t bacteria per hour. If the initial population is 36 bacteria, find t

Harrizon [31]

Answer:

1560

Step-by-step explanation:

The rate of Increase of the population (P) of the bacteria is given as:

$\frac{dP}{dt} =4.058e^{1.6t}$

$dP =4.058e^{1.6t}}dt\\Taking\: Integrals\\\int dP =4.058 \int e^{1.6t}dt\\P(t)=\frac{4.058}{1.6} (e^{1.6t} +K)\\P(t)=2.53625 (e^{1.6t} +K)$

Where k is a constant of Integration.

At t=0, P(t)=36

$36=2.53625 (e^{1.6*0} +K)\\36=2.53625 (e^{0} +K)\\36=2.53625 (1 +K)\\36=2.53625 +2.53625K\\K=13.19$

Therefore:

$P(t)=2.53625 (e^{1.6t} +13.19)\\At \: t=4\\P(4)=2.53625 (e^{1.6*4} +13.19)\\=1559.88\\P(4)=1560$

3 0

2 years ago

Joe spends 18.75% of his working day washing cars. He spends 1.5 hours washing cars. How many total hours does he work per day?

insens350 [35]

Answer:

8 hours

Step-by-step explanation:

Joe spends 18.75% of his working day washing cars.

Joe spends 1.5 hours washing car.

Therefore 18.75% is equal to 1.5 hour.

18.75% = 1.5 hour

1% = 1.5 ÷ 18.75 = 0.08 hour

100% = 0.08 x 100 = 8 hours

4 0

3 years ago

I need help fast geometry is impossible

Ierofanga [76]

Answer:

D. 8

Step-by-step explanation:

DC = AC = x is the radius

Using the Pythagorean theorem, find x:

(x + 9)² - x² = 15²
x² + 18x + 81 - x² = 225
18x = 225 - 81
18x = 144
x = 144/18
x = 8

8 0

2 years ago

Read 2 more answers

Extra POINTS Lila made 98 phone calls in 3 months. In the first month she made 34 calls, and in the second month she made 42 cal

Rzqust [24]

Answer:

A. 22

Step-by-step explanation:

98 - 34 - 42 is equal to 22. Or 34 + 42 os 76. Subtract 76 from 98. You get 22.

6 0

2 years ago