Answer:
Step-by-step explanation:
Given
Required
f(10)
An exponential function is represented as:
impleies that:
--- (1)
implies that
--- (2)
Divide (2) by (1)
Take 4th root
Substitute in
Solve for (a)
f(10) is calculated as:
distance = speed * time
the first bus speed = x
second bus = x - 12
the sum of distance = 765 miles
first distance = 6x
second distance = 6 (x -12)
6x + 6(x-12) = 765
x + x -12 = 127.5
2x = 139.5
x = 69.75 mi/h which is the faster bus
the second bus speed = 57.75 mi/h
Answer:
First find the area of the front triangle and then multiply it with 3
Step-by-step explanation:
Answer:
x = 6 2/3
Step-by-step explanation:
10+3(x+2)=36
10+3x+6=36 Solve inside the parenthesis.
16+3x=36 Combine like terms.
-16 -16 Subtract 16 from both sides.
3x/3=20/3 Divide both sides by 3.
x=6 2/3 The answer is x= 6 2/3, or 6.66666666666667
Answer:
23.04 m^2
Step-by-step explanation:
The volume of a prism is base * height. In the case of a triangular prism, you need to find the area of the base first (aka the triangle).
The area of a triangle is base * height / 2. Since we have the values for those we can substitute the values into the formula and solve.
2.4 * 3.6 / 2 = 3.84.
Now multiply that by height of the prism, which is 6, and we get 23.04 m^2.
Hope this helps!
