If we are to derive the equation that models the growth of the amoeba, we make use of the general form:
p = po k^t
where po is the initial population
k is the multiplicative rate of change
From the problem
3po = po k^(20)
k = 1.06
The equation is
p = 800 (1.06)^t
I think it is 64 just multiply 4 times 4 times 4 because of the sides and to find volume you need to multiply the sides and the height so it should be 64.
Answer:
48 degrees
Step-by-step explanation:
<u>1) Solve for x</u>
Complementary angles add up to 90 degrees. Therefore, m<A + m<B is equal to 90:

Open up the parentheses

Subtract 20 from both sides

Divide both sides by 5

Therefore, x is equal to 14.
<u>2) Determine angle A</u>

Substitute x with 14

Therefore, the measure of angle A in degrees is 48 degrees.
I hope this helps!
Answer:
=3(x+8)(x+1)
Step-by-step explanation:
3(x^2+9x+8)
3(x^2+8x+1x+8)
3[(x^2+8x)+(1x+8)]
3[x(x+8)+1(x+8)]
=3(x+8)(x+1)
Answer:
see explanation
Step-by-step explanation:
The perimeter P is the sum of the 4 sides of the rectangle.
The opposite sides of the rectangle are congruent , then
P = 2x + 1 + 2x + 1 + x + x ← collect like terms
P = 6x + 2