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luda_lava [24]
3 years ago
12

(-5q^2 + 6q + 7) - (-q^2 + 4q)

Mathematics
2 answers:
Katen [24]3 years ago
7 0

Answer:

-4q^2+2q+7

Remove unecessary parenthesis

-5q^2+6q+7-(-q^2+4q)

when there is a - in front of an expression in parenthesis, change the sign of each term in the expression

-5q^2+6q+7+q^2-4q

collect like terms -5q^2 and q^2

-4q^2+6q+7-4q

-4q^2+2q+7

beks73 [17]3 years ago
5 0

Steps to solve:

(-5q^2 + 6q + 7) - (-q^2 + 4q)

~Distribute the left side

-5q^2 + 6q + 7 + q^2 - 4q

~Combine like terms

-4q^2 + 2q + 7

Best of Luck!

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The expression C. \pi (1)^{2} (0.5) cubic \mu \mathrm{m} represents the bacterium's volume.

Step-by-step explanation:

Step 1:

The E. Coli bacterium is in the shape of a cylinder.

The volume of a cylinder is given by multiplying π with the square of the radius (r²) and the height of the cylinder.

The volume of a cylinder, V=\pi r^{2} h.

In the given diagram, E. Coli has a radius of 1 \mu \mathrm{m} and a height of 0.5 \mu \mathrm{m}.

Step 2:

By substituting the values in the equation, we get

The volume of the E. Coli bacterium = \pi (1)^{2} (0.5) cubic \mu \mathrm{m}.

This is option C.

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Answer:

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We need to determine the probability Andrew will be among the 4 volunteers selected and Karen will not.

We want to select Andrew and 3 others but not Karen in the group.

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The required probability is:

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Hence, the correct option is D. 2/7

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4 years ago
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