We know that
3600 seconds = 1 hour
Then
3400 seconds = 3400/3600
= 17/18 hours
5280 feet = 1 mile
Then
63360 feet = 63360/5280 mile
= 12 mile
So
Distance covered by Nina in 17/18 hours = 12 mile
Then
Distance covered by Nina in 1 hour = 12/(17/18) miles
= 12.71 miles.
From the above deduction, we can conclude that the speed of Nina is 12.71 miles per hour.
Speed of Sophia is 10 miles per hour. So Nina is the girl that rides at a faster speed.
Answer:
y = 3x - 17
Step-by-step explanation:
Parallel lines have the same slope.
The slope of the given line, y = 3x - 2 is 3.
The equation we are looking for is of the form
y = mx + b
Since we know the slope, m, is 3, we have
y = 3x + b
To find the value of b, we substitute x and y with the values from the given point and solve for b.
-2 = 3(5) + b
b = -17
The equation is
y = 3x - 17
Answer:
-10
Step-by-step explanation:
You always want to solve the inner function first.
g(-2)=(-2)³+3
=-8+3
=-5
g(-2)=-5 so you can replace g(-2) with -5
Now you just have f(-5)
Solve.
f(-5)=-5-5
f(-5)=-10
Answer:
241
Step-by-step explanation:
Simplify the following:
2^8 - 10 - 15/3
The gcd of -15 and 3 is 3, so (-15)/3 = (3 (-5))/(3×1) = 3/3×-5 = -5:
2^8 - 10 + -5
2^8 = (2^4)^2 = ((2^2)^2)^2:
((2^2)^2)^2 - 10 - 5
2^2 = 4:
(4^2)^2 - 10 - 5
4^2 = 16:
16^2 - 10 - 5
| 1 | 6
× | 1 | 6
| 9 | 6
1 | 6 | 0
2 | 5 | 6:
256 - 10 - 5
256 - 10 - 5 = 256 - (10 + 5):
256 - (10 + 5)
10 + 5 = 15:
256 - 15
| 2 | 5 | 6
- | | 1 | 5
| 2 | 4 | 1:
Answer: 241
