Use distributive property to express 24+40

Mathematics

1 answer:

GREYUIT [131]3 years ago

6 0

8(3+5)...they have the same factor which is 8..check

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In a lab, 180 cells are present at the beginning of an experiment. During the first 9 hours, the number of cells increased by 8%

jasenka [17]

Answer:

The answer is 9 hours

Step-by-step explanation:

From the initial population of 180 cells, the number grows by 8% every hour for the first 9 hours.

This represents a increased population of 108% the previous population.

108% = 108/100 = 1.08

So the new population after n hours is

180 x 1.08^n

When population is 360

360 = 180 x 1.08^n

1.08^n = 2

Take log of both sides

n x Log1.08 = Log 2

n = Log 2/Log 1.08

n = 9

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4 years ago

find the number of subsets of s = 1 2 3 . . . 10 that contain exactly 4 elements including 3 or 4 but not both.

Anna007 [38]

Answer:

112

Step-by-step explanation:

Let A be a subset of S that satisfies such condition.

If 3∈A, then the other three elements of A must be chosen from the set B={1,2,5,6,7,8,9,10} (because 3 cannot be chosen again and 4 can't be alongside 3). B has eight elements, then there are $\binom{8}{3}=56$ ways to select the remaining elements of A (the binomial coefficient counts this). The remaining elements determine A uniquely, then there are 56 subsets A.

If 4∉A, we have to choose the remaining elements of A from the set B={1,2,5,6,7,8,9,10}. B has eight elements, then there are $\binom{8}{3}=56$ ways to select the remaining elements of A. Thus, there are 56 choices for A.

By the sum rule, the total number of subsets is 56+56=112

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4 years ago

What is the slope of points -3,-3 (-3,10?)

STALIN [3.7K]

Answer:

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Step-by-step explanation:

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3 years ago

Factor out the monomial expression<br> f(x)=36x^4-49x^2

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