Answer:
b = -6
Step-by-step explanation:
Apply the exponent rule that
In this case, 
Set that equal to
:

Apply the exponent rule that
so now you get:

Since the base is y for both sides of the equation, just set the exponents equal to each other and solve for b.
4b = -24
divide each side by 4 to get:
b = -6
Answer:
He runs 2.5 meters per second
Step-by-step explanation:
all you do is divide 75/30 and the answer is 2.5.
Ugh, more algebra pretending to be geometry. Why?
This is a pretty awful instance of the genre, with no units on the constant 16, assumed to be degrees.
The total arc measure in a circle is 360 degrees. Geometry part over.
3m + 16 + 2m + 3m = 360
8m = 344
m = 344/8 = 43
Arc measures:
Arc 3m+16 = 3(43)+16 = 145°. The angle subtended by that arc is half that, 145/2=72.5°
Arc 2m=2(43)=86°. The angle subtended is half that, 43°
Arc 3m=3(43)=129°. The angle subtended is half that, 64.5°
Answer:
shipping and handling is <u>18.90</u> dollars
Step-by-step explanation:
percent means "per one hundred", so any percent can be written as a fraction over 100
30% = 30/100 = 0.30
Multiply 0.30 with the price 63 to get 0.30*63 = 18.90, which is the cost of shipping only. This result is added on top of the 63 dollars to get the total cost.