Answer
(1/32)^5
Step-by-step explanation:
If you add the exponential power of 5 to both sides of the exponential equation, you will get (1/32)^5, which would be your answer.
Answer:
The remainder = 13.
Step-by-step explanation:
By the Remainder Theorem the remainder when the function is divided by
x - 1 is f(1).
f(1) = 4(1)^3 + 4(1)^2 + 2(1) + 3
= 4 + 4 + 2 + 3
= 13.
So x - 1 is not a factor of f(x).
If it was a factor the remainder would be 0.
Answer:
100 percent the sun will rise tomorrow but who is to say you will get to see the sun tomorrow? who is to say you won't have a heart attack and die on this material planet tomorrow and won't get to see the sun rise. or what if the sun sends out a solar flare and burns everyone to a crisp and completely demolishes our ozone layer allowing oxygen to excrete from the planet and cooking everyone with solar radiation all at the same time catastrophic winds and earthquakes demolish the planet because of loss of pressure from the gravity field held in check by the oxygen that has left the planet from a destroyed ozone layer leaving everyone to suffocate and die and excruciating death therefore yes the sun will rise tomorrow but certain events are to unfold we could never prognosticate
Step-by-step explanation:
Answers:
- Problem 1) 40 degrees
- Problem 2) 84 degrees
- Problem 3) 110 degrees
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Explanation:
For these questions, we'll use the inscribed angle theorem. This says that the inscribed angle is half the measure of the arc it cuts off. An inscribed angle is one where the vertex of the angle lies on the circle, as problem 1 indicates.
For problem 1, the arc measure is 80 degrees, so half that is 40. This is the measure of the unknown inscribed angle.
Problem 2 will have us work in reverse to double the inscribed angle 42 to get 84.
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For problem 3, we need to determine angle DEP. But first, we'll need Thales Theorem which is a special case of the inscribed angle theorem. This theorem states that if you have a semicircle, then any inscribed angle will always be 90 degrees. This is a handy way to form 90 degree angles if all you have is a compass and straightedge.
This all means that angle DEF is a right angle and 90 degrees.
So,
(angle DEP) + (angle PEF) = angle DEF
(angle DEP) + (35) = 90
angle DEP = 90 - 35
angle DEP = 55
The inscribed angle DEP cuts off the arc we want to find. Using the inscribed angle theorem, we double 55 to get 110 which is the measure of minor arc FD.
Answer:
0.5hrs
Step-by-step explanation:
Let the speed downhill be 
,
Speed uphill is 
. We are told than speed uphill is 
the speed on flat ground. Therefore the speed on level ground will be 
.
From this info, we can obtain the actual speed,
on level ground as:
speed, distance and time have the relation 
so to obtain time to cover 45miles:
Hence it takes 0.5hrs to cover 45miles on flat ground.
