Answer:
Step-by-step explanation:
∛(1000)² = find the cubed root of 1000 squared 1000 times 1000
∛1,000,000 = ∛ (100 x 100 x 100) = 100
But I think they want use to use exponents to solve the problem
1000^2/3 recall 1000 = 10^3 which is 10x10x10
replace 1000 with 10^3
so
(10^3)^2/3 exponents multiple and divide some rule as I recall
you look it up in your book or on your computer
10^(3)(2)/(3) the 3s divide to 1 leaving the 2 in the exponent
= 10^2 which is 10² which is 100
Answer:
D.
Step-by-step explanation:
Two events A and B are independent when

where
is the probability that event A occurs given that event B has occured.
A = randomly selected person is from California
B = randomly selected person preferred brand A
A|B = being a person from California and preferring brand A.
Hence,

Since
events are independent.
Answer:
y = -
x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
9x + 35 = - 5y ( add 5y to both sides )
5y + 9x + 35 = 0 ( subtract 9x + 35 from both sides )
5y = - 9x - 35 ( divide all terms by 5 )
y = -
x - 7 ← in slope- intercept form
There is a special right triangle in this picture ( with angles 30°- 60°- 90° ). Sides of that triangle are: a, a/2 and a√3/2.
a = 10
h = a/2
h = 10/2 = 5
Answer: A ) 5 inches
Plug 7 into each y. 9(7) -4(7) +3
63-28+3
The answer is 38