Answer:
Step-by-step explanation:
Using the exponential growth function for the U. S. population from 1970 through 2003:
A = 205.1e^0.011t
with the U.S. population being 205.1 million in 1970, when would the U. S. population reach 350 million?
A.
2028
B.
2048
C.
2018
D.
2038
We have the expression
A = 205.1e^0.011t
We are asked to find when would the U. S. population reach 350 million
A = 350
350 = 205.1e^0.011t
We divide both sides by 205.1
Divide both sides by 205.1
350/205.1 = 205.1e^0.011t/205.1
1.7064846416 = e^0.011t
We take the log of both sides
log 1.7064846416 = log e^0.011t
log 1.7064846416 = t log 0.011
t = log 1.7064846416/ log 0.011
t = 0.1185057826
0Answer:
A
Step-by-step explanation:
Find the zeros by letting y = 0 , that is
x² - x - 6 = 0 ← in standard form
(x - 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 2 = 0 ⇒ x = - 2
Since the coefficient of the x² term (a) > 0
Then the graph opens upwards and will be positive to the left of x = - 2 and to the right of x = 3 , that is in the intervals
(-∞, - 2) and (3, ∞ ) → option A
Answer:
![\sqrt[4]{81} = {( {3}^{4}) }^{ \frac{1}{4} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B81%7D%20%20%3D%20%20%7B%28%20%7B3%7D%5E%7B4%7D%29%20%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20)
Step-by-step explanation:
it's obvious that 3·3·3·3=81
or you can do the prime factorization of 81
Answer:
0, 8
Step-by-step explanation:
To find out a distance of these numbers, you shall find out how far each number is, preferably you can use a number line for this.
No,
660 is 1.1 times as much;
to find how many times 660 goes into 600, you must divide 660 by 600
660÷600 = 1.1
∴660 is 1.1 times as much as 600
