Mariah wanted to make cookies for her family but needed to reduce the recipe. The original recipe required five cups of
2 answers:
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Answer:
Step-by-step explanation:
A function satisfying the equation is said to be an even function. This denomination comes from the fact that the same relation is satisfied for functions of the form
with
even. Observe that if
is twice differentiable we can derivate using the chaing rule as follows:
implies
Applying the chain rule again we have:
implies
So we have that function is also an even function.
Step-by-step explanation:
Given
So
Now
So
Hope it will help :)❤
Answer:
a) It will take Izzy 0.226 hours = 13.6 minutes = 13 minutes 36 seconds to run to school on dashed days.
b) Izzy runs 1.30 miles on dry days.
c) Izzy saves 3 minutes and 12 seconds cutting through the woods.
Step-by-step explanation:
This problem can be solved by a simpe rule of three problem.
a) On rainy days, she runs 1.2 + 0.5 = 1.7 miles.
The problem states that for rainy days, she runs 7.5 miles per hour. We know that in a hour, Izzy will run 7.5 miles. We want to know how long it takes for her to run 1.7 miles. So
1 hour - 7.5 miles
x hours - 1.7 miles
7.5x = 1.7
x = 0.226 hours
It will take Izzy 0.226 hours = 13.6 minutes = 13 minutes 36 seconds to run to school on dashed days.
b) Now we have a right triangle, where the sides are the 1.2 miles and the 0.5miles, and the path through the woods x is the hypotenuse.
So, we apply the pythagorean theorem.
So, Izzy runs 1.30 miles on dry days.
c) The first step for this question is knowing how long it takes for Izzy to run 1.30 miles at 7.50 miles a hour. So:
1 hour - 7.50 miles
x hours = 1.30 miles
7.50x = 1.30
x = 0.173 hours
So, it takes Izzy 0.173 hours = 10.4 minutes = 10 minutes 24 seconds to run through the woods.
13' 36''
-10' 24''
3' 12''
Izzy saves 3 minutes and 12 seconds cutting through the woods.