Answer:
C. 60 ft
Step-by-step explanation:
If triangles ABC and EDC are in a 1:1 relation, they are congruent, and
AC = EC
5x - 5 = 3x + 9
5x = 3x + 14
2x = 14
x = 7
AC = 5x + 5 = 5(7) - 5 = 35 - 5 = 30 ft
EC = 3x + 9 = 3(7) + 9 = 21 + 9 = 30 ft
Distance between top and bottom of bridge = AC + EC = 30 + 30 = 60 ft
Female students that participate: 51
male students that don’t: 30
To find the volume of a cylinder, you use this formula:
V =


h
Plug in your numbers,
V = (3.14 *

) * 13
Exponents:
V = (3.14 * 64) * 13
Parentheses:
V = 200.96 * 13
Multiply:
V =
Answer: The correct option is second.
Explanation:
The given function is,

If we graph a function is f(x), then its coordinates is defined as (x,f(x)).
When the graph of f(x) is reflect across the x-axis, then the the x-coordinate remains the same and the sign of y-coordinate is changed. It means after reflecting across the x-axis,

The given given equation can be written as,

To find the equation of the graph after reflection across the x-axis multiply both sides by -1.

Because f(x)=y and g(x)=-y.

Therefore the second option is correct and the graph of both function is given below.
<h2>
Hello!</h2>
The answer is: 50% (0.5)
<h2>
Why?</h2>
Exponential growth equations are use to predict the growth (in function of time) using proportional information.
We can calculate the exponential growth using the following formula:

Where,
S, is the starting value
r, is the growth rate
t, is the time
So, we are given the function:

Where,
f(t), is the function,
3, is the starting value (lb)
0.5 (50%) is the growth rate
nt, is the time elapsed.
Hence,
From the given function, we know that the growth rate is equal to 0.5, and it's equal to 50%.
We can turn the growth rate given in real numbers to percent value by multiplying by 100

So, the growth rate is 50%.
Have a nice day!