May anyone help me on this

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

nalin [4]

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

4 0

4 years ago

Jack was 10 years older than priscilla together their ages totaled 170 years what were their ages

Allisa [31]

Are there any answers to choose from?

So if Jack was 10 years older than Priscilla and their ages combined equals to 170. I believe Priscilla is 80 and Jack was 90 cause 90+80=170

5 0

3 years ago

Marissa claims that stacking 6 blocks with dimensions of One-half times 1 times 1 will give the same volume as stacking 9 blocks

quester [9]

Answer:

(A)Six of the one-half cubes would have a volume of 3 cubic units.
(D)Three of the one-third cubes will make 1 unit cube.
(E)Two of the one-half cubes will make 1 unit cube.
(F)Both stacks will have a volume of 3 cubic units.

Step-by-step explanation:

Marissa claims that stacking 6 blocks with dimensions of $\frac{1}{2}X1X1$ will give the same volume as stacking 9 blocks with dimensions of $\frac{1}{3}X1X1$ .

First, let us examine the volume of each of the blocks.

<u>For Block 1</u>

The dimensions are: $\frac{1}{2}X1X1$

Volume of 1 block = $\frac{1}{2}X1X1= \frac{1}{2} $ cubic units$

Volume of 6 blocks of dimension $=6* \frac{1}{2} =3$ cubic units$

<u>For Block 2 </u>

The dimensions are: $\frac{1}{3}X1X1$

Volume of 1 block = $\frac{1}{3}X1X1=\frac{1}{3} $ cubic units$

Volume of 9 blocks of dimension $=9*\frac{1}{3} =3$ cubic units$

The following statements out of Marissa's claim are true:

(A)Six of the one-half cubes would have a volume of 3 cubic units.

(D)Three of the one-third cubes will make 1 unit cube.

$3*\frac{1}{3} =1$ cubic units$

(E)Two of the one-half cubes will make 1 unit cube.

$2*\frac{1}{2} =1$ cubic units$

(F)Both stacks will have a volume of 3 cubic units.

8 0

3 years ago

Please help me! worth 35 points!

Debora [2.8K]

Answer:

1. 72, 2. 36, 3. 80, 4. 54

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Will Wanda catch up to Hector before the race is complete? Explain. Show your work.

Elina [12.6K]

Answer:

Step-by-step explanation:

Wanda reaches hector at 4.5h. Wanda can not reach hector before the race ends, since at the speed he is going (16m / h) he would reach when both are at mile 72 and the race is 42 miles.

Wanda needs to increase her speed to 21m / h to catch Hector at the finish line.I attach the answers.

6 0

3 years ago