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dexar [7]
3 years ago
7

I need help please quick!!!!

Mathematics
1 answer:
11111nata11111 [884]3 years ago
6 0

Answer:

C

Step-by-step explanation:

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The population of bacteria in a culture doubles every 14 hours. How long will it take for
Snezhnost [94]

Answer:  22 hours 11 minutes

<u>Step-by-step explanation:</u>

P=P_o\cdot e^{(kt)}\\\\\text{Since the initial population is doubled in 14 hours, then:}\\2P_o=P_o\cdot e^{k\cdot 14}\\2=e^{14k}\\ln\ 2=ln\ e^{14k}\\ln\ 2=14k\\\\\dfrac{ln\ 2}{14}=k\\\\0.0495=k\\\\\\\text{Now that the k-value has been determined, we can find the time when the}\\\text{population is tripled:}\\3P_o=P_o\cdot e^{0.0495t}\\3=e^{0.0495t}\\ln\ 3=ln\ e^{0.0495t}\\ln\ 3=0.0495t\\\\\dfrac{ln\ 3}{0.0495}=5\\\\22.19=t\\\\22\ hrs +0.19\ hrs

22\ hours + \bigg[\dfrac{19}{100}=\dfrac{x}{60}\bigg]\\\\22\ hours + 11\ minutes

4 0
3 years ago
i ran 3hrs and 2 mins to run 26 miles if i ran at the same rate for the whole race how many minutes did it take to run each mile
oksian1 [2.3K]
7 minutes per mile.
8.57 miles per hour
8 0
3 years ago
What is the solution to the equation 2 (x-3) ^2 =13 help help ASAP !
olganol [36]

Answer:

3+sqrt(13/2)

3-sqrt(13/2)

Step-by-step explanation:

2 (x-3) ^2 =13

Divide each side by 2

2/2 (x-3) ^2 =13/2

(x-3) ^2 =13/2

Take the square root of each side

sqrt((x-3) ^2) =±sqrt(13/2)

x-3 = ±sqrt(13/2)

Add 3 to each side

x-3+3 = 3±sqrt(13/2)

x = 3±sqrt(13/2)

4 0
3 years ago
Read 2 more answers
The length of one side of a square is (x + 2 1/4). If the perimeter is 14 units, what is the area?
Stels [109]

The perimeter is the total of adding all of the side lengths together.

A square has 4 equal side lengths.

So the perimeter of a square is:

P = s + s + s + s  or  P = 4s

[P = perimeter       s = side lengths of the square]


Since you know the side length of the square is (x + 2 1/4), you can replace s with (x + 2 1/4)

P = 4s

P = 4(x + 2 1/4)  Multiply 4 into (x + 2 1/4)

P = 4x + 8 4/4

P = 4x + 9

Since you know the perimeter, you can plug it in.(you could have also plugged it in in the beginning)

P = 4x + 9

14 = 4x + 9  Subtract 9 on both sides

5 = 4x  Divide 4 on both sides

5/4 = x


Now that you know x, find the side length of the square.

(x + 2 1/4)

(5/4 + 2 1/4)

2 6/4 = 3 2/4 = 3 1/2 units or 3.5 units


To find the area of a square, you multiply 2 of the sides together:

A = s · s  

A = 3.5 · 3.5

A = 12.25 units²

7 0
3 years ago
Four times the number of mangoes Mark picked equals the number Jordan picked for a week. If Jordan picked 20 mangoes each day, h
maksim [4K]

Answer:

5

Step-by-step explanation:

The equation looks like 4x=20
Divide each side by 4 to get x=5
Thus x+5

6 0
3 years ago
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