Answer:
Part A:
0.1111111111111 = 1/9
Part B:
3
Step-by-step explanation:
Part A:
When I put 0.111111111 into my calculator I get a conversion of 1/9.
Part B:
The fraction 1/9 means that for every 9 kids he surveyed, 1 of them replied "yes."
So covert 1/9 into x/27
27/9 = 3 which means 9 goes into 27, 3 times.
Multiply 1 by 3.
1 x 3 = 3
Put into fraction form
3/27
This means 3 students out of 27 answered "yes."
Answer: Option D.
Step-by-step explanation:
this is a quadratic equation of the form:
y = ax^2 + bx + c
First, things you must see.
The graph opens up, so we must have thata a is greater than zero, so we can discard the first option.
Second, we can see that the vertex is located in x ≈ 70
The vertex of a quadratic equation is: x = -b/2a
so we have:
70 = -b/2a
let's try our options and see if we can discard other:
B:
-b/2a = 69.9/2 = 34.95
we can discard this option.
C:
-b/2a = 78/2 = 39 we can discard this option.
D:
-b/2a = 69.9/2*0.5 = 69.9
This is the only one that fits, so this is the correct option.
Answer:
the correct answer is 8,000ft
Step-by-step explanation:
sin30°=4000ft/h
hsin30°=4000ft
h=4000ft/sin30°
h= 8,000ft
Answer:
10x + 16 + (28x^2 - 10x + 22) / (x^3 - 3x^2 + x - 2).
Step-by-step explanation:
x^3 - 3x^2 + x - 2 ) 10x^4 - 14x^3 - 10x^2 + 6x - 10 ( 10x + 16
10x^4 - 30x^3 + 10x^2 - 20x
16x^3 - 20x^2 + 26x - 10
28x^2 - 10x + 22
