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bazaltina [42]
3 years ago
12

The mass of bacteria in a labaratory experiment increases exponentially by 22% each hour. The mass of bacteria was 8 micrograms

when the experiment began. You are interested in predicting how long it will take for the mass of bacteria to reach 100 micrograms.
Mathematics
1 answer:
den301095 [7]3 years ago
5 0

Answer:

The Answer is approximately 12.71 seconds.

Step-by-step explanation:

The form of the equation is:

f(x) = ab^x

Substitute:

f(x) = 8(1.22)^x

Solve for:

f(x) = 100

100 = 8(1.22)^x

100/8 = 1.22^x

12.5 = 1.22^x

1.22^x = 12.5

log(1.22^x) = log(12.5)

x * log(1.22) = log(12.5)

x * 0.0863 = 1.0969

x = 1.0969 / .0863 = 12.71 seconds, approximately

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a box of cereal weighs 550 g. There is enough cereal for 10 servings. How many grams of cereal are there per serving?
prisoha [69]

Answer:

55 grams per serving

Step-by-step explanation:

To find the number of grams per serving, we take to total grams and divide by the number of servings. The total grams is 550 and the number of servings is 10

grams per servings = 550/10 = 55 grams per serving


7 0
2 years ago
vareriya wants to determine the likely voting outcome for the new town council election. whick sample is likely yo yield mist ba
Naddik [55]
I cant understand the question but please re write this because im lost 

4 0
3 years ago
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Will mark bianleast
Leni [432]

Answer:

(–5, 5)

Step-by-step explanation:

Start with the x-axis (left and right).

-5 so you go to the left by 5 steps.

Next is y-axis (up and down).

Without moving your spot in -5, you move up by 5 steps.

That is point F.

Tip: (x-axis, y-axis) or (left/right, up/down)

Negative number: Left or Down

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8 0
3 years ago
If f(x) = - 8x +2 then f^-1(x) =
mrs_skeptik [129]

Answer:

f^-1(x)  = -1/8x +1/4

Step-by-step explanation:

To find the inverse of a function

Exchange x and y and then solve for y

y =-8x+2

Exchange x and y

x = -8y+2

Now solve for  y

Subtract 2 from each side

x-2 = -8y+2-2

x-2 = -8y

Divide by -8

(x-2)/-8 = -8y/-8

Distribute

-1/8x +1/4 = y

f^-1(x) = -1/8x +1/4

3 0
3 years ago
Rationalize the denominator of each of the following 4 by (root7+root3)​
Solnce55 [7]

Answer:

4/(√7 + √3)

Step-by-step explanation:

=> Multiply and divide by (√7-√3)

=> 4(√7 - √3)/((√7 + √3)(√7 - √3)

=> 4(√7 - √3)/((√7)² - (√3)²)

=> 4(√7 - √3)/((7) - (3))

=> 4(√7 - √3)/4

=> √7 - √3

7 0
1 year ago
Read 2 more answers
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