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AURORKA [14]
3 years ago
6

A population of bacteria is growing according to the function below, where t is in hours. How many hours will it take for the po

pulation to grow to 1,000 bacteria? Round your answer to the nearest integer. Do not include units in your answer.
B(t) = 50 e2.5t ...?
Mathematics
1 answer:
nalin [4]3 years ago
4 0
B(t)=50×e^2.5t

e^2.5t = 20
t= ln(20) / 2.5 
set B(t)=1000 and solve for t via 1000=50e2.5t
20=e2.5t
ln(20)=2.5t
t=ln(20) / 2.5

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The area of a parallelogram is 420cm^2 and the height is 35cm. Find the corresponding base.
bearhunter [10]
The answer is 12cm because area (420) divided bye height (35) gives you the corresponding side 12cm.
4 0
3 years ago
a species of cicada has a life cycle of 17 years a parasite that harms the cicada has a life cycle of 4 years if the last known
irga5000 [103]

Answer:

What grade are you in.  and let me see the choices

Step-by-step explanation:

3 0
3 years ago
Please answer this question too! :D
Artyom0805 [142]

Answer:

A

Step-by-step explanation:

We can find the surface area of the object by adding the surface areas of each part. We have many rectangle faces to count and two triangular faces. Each has a formula for the area. We will find the area of each and then add them all together.

Triangle - 0.5 *b*h

Rectangle - b*h

<u>Triangles</u>

There are two triangles on either side. The height is 1.5. The base is 1.8.

0.5(1.5)(1.8)=1.35 meters squared

Since there are two, we will add 1.35+1.35 in our final calculation.

<u>Rectangles</u>

We will start by calculating the largest rectangle on the side. It has height of 4 and a base of 2.5 (shown above left).

4(2.5)=10

Since there are two (one we can see and one we can't), we will add 10+10 in our final calculation.

Next we calculate the top and bottom. The height is 3 and the base is 2.5 on top. But the bottom sticks out more and adds 1.8 to its base.

Top - 3(2.5)=7.5

Bottom-3(2.5+1.8)=12.9

Finally, we will calculate the front side and back(not visible) as well as the slant up front. The back side has height 4 and base 3. The front side has base 3 and height 4-1.5=2.5. The slant has base 2.3 and height 3.

Back - 4(3)=12

Front- 3(2.5)=7.5

Slant - 3(2.3)=6.9

We add all together for the total surface area: 1.35+1.35+10+10+7.5+12.9+12+7.5+6.9=69.5 meters squared.

5 0
3 years ago
The sum of three numbers is 102. The first number is 6 more than the second. The third number is 4 times the second. What are th
const2013 [10]

Answer:

1st number: 22

2nd number: 16

3rd number: 64

Step-by-step explanation:

x + y + z = 102

x = 6 + y

z = 4y

plug that in!

(6 + y) + y + (4y) = 102

get rid of the parenthesis (I added them so you could see what I was replacing) and add like terms.

6 + 6y = 102

move 6 to the other side.

6y = 96

y = 16

now that you know one number, you can solve the equations for the rest!

x = 6 + (16)

z = 4(16)

__________________________________________________________

x = 22

y = 16

z = 64

6 0
3 years ago
Help me please thanks !
GREYUIT [131]
That’s 125 times 9!!! which is 1125!!!
4 0
3 years ago
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