In the question it is given that the length of the blue lake trail is 11 3/8 miles. In the question it is also given that Gemma has hiked for a total time of 3 hours and each hour she has hiked 2 1/2 miles.
Now coming to solving the problem we get:
Total length of blue lake trail = 11 3/8 miles
= 91/8 miles
Distance hiked by Gemma in 1 hour = 2 1/2 miles
= 5/2 miles
Then the total distance hiked by Gemma in 3 hours = (5/2) * 3
= 15/2 miles
The distance left to cover the full trail = (91/8) - (15/2) miles
= (91 - 60)/8 miles
= 31/8 miles
= 3 7/8 miles.
So Gemma is 31/8 miles or 3 7/8 miles from the end of the trail.
Answer:
x = 8 hours
Step-by-step explanation:
add up all the parts,
the teachers spends 24 hours in a day to do 18 parts
there are 2 parts for grading per day, we need to solve for 3 days so 3*(parts) or 6 parts for grading
use ratio to solve for x,
24 hrs x (hours)
______ = __________
18 parts 3*(2 parts)
solve for x = (24 * 6 )/ 18 = 8 hours
for f(x) = -2(x-4)2+2 - set equation to y = -2(x-4)2+2, solve x-4=0, x = 4
axis of symmetry is x = 4
for g(x) = 5x2-10x+7, set equation to y = 5x2-10x+7, solve the square: 5x2 becomes 5(x-1)2 solve x-1 = 0, x = 1
axis of symmetry is x=1
for H(x) what x value would be the centerline so that the graph symmetry is the same on both sides? looking at the graph the top of the arc is on -2
so axis of symmetry is x = -2
Answer:
a⁻³⁵
Step-by-step explanation:
((a²)⁻²)⁵ ÷ (a⁴a)³
((a²)⁻²)⁵ ÷ (a⁴a¹)³
= (a⁻⁴)⁵ ÷ (a⁵)³
= a⁻²⁰ ÷ a¹⁵
= a⁻²⁰⁻¹⁵
= a⁻³⁵
Exponent rules:
Multiplying two numbers with same base: add exponents
Dividing two numbers with same base: subtract exponents
Number with exponent raised to another exponent: multiply the exponents together
