Answer:
Keith live 280 miles far way from the mountains.
Step-by-step explanation:
Consider the provided information.
Keith drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours.
Let the distance is D and average rate or speed is x miles.
Substitute the respective values.
When Keith drove home, there was no traffic and the trip only took 5
hours. The average rate was 21 miles per hour faster on the trip home,
The average rate or speed during return is x+21 miles.
Substitute the respective values in the above formula.
Equate both the equations.
Substitute the value of x in
Hence, Keith live 280 miles far way from the mountains.
Answer:
he expression is undefined where the denominator equals
0
, the argument of an even indexed radical is less than
0
, or the argument of a logarithm is less than or equal to
0
.
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Step-by-step explanation:
Answer:
exact: SA = 260π in.²
approximate: SA = 816.81 in.²
Step-by-step explanation:
SA = 2πr² + 2πrh
r = 10 in.
h = 3 in.
SA = 2πr(r + h)
SA = 2π(10 in.)(10 in. + 3 in.)
SA = 260π in.²
SA = 816.81 in.²
Answer:
a)3
b)13/4
c)-4
d)5
NOTE: You might want to read the first section below the "Step-by-step explanation:" to see if I have interpreted your problems correctly.
Step-by-step explanation:
a)
b)
c)
d)
------------------------------------
a)
Let's writ ether the logarithmic form in equivalent exponential form:
To solve this we need to take the fifth root of both sides:
b)
We are going to write both sides so their bases are 2.
The left hand side is already base 2 so we are not doing anything to that side.
The 512 however can be written as 2^9.
So we have:
Since the bases are the same, the only thing we can do is set the exponents equal so those are the same as well.
Add 4 on both sides:
Divide both sides by 4:
c)
We are going to write both sides so their bases are 5.
This does not effect left hand side since the base is already 5 on that side.
I know 5^4=625 so 5^(-4)=1/625.
So we have:
This implies .
d)
We are going to write both sides so they have base 2.
Left hand side is done. Let's move on to the right. 64=2^6.
.
This implies:
Add 9 on both sides:
Divide both sides by 3:
Simplify:
Because all sides of a square are equal. Regular polygons always have equal sides.