Answer:
Yes
Step-by-step explanation:
Multiplying an integer by 0.01 is the same as Dividing such as :
0.01 = 10^-2
100= 10
For instance :
A number, n = 5 is multiplied by 10^-2
5 * 0.01 = 0.05
Thus, divide the number, n by 100;
5 / 100 = 0.05
Hence, the proof.
If she went back 5 miles than the displacement would be 0.
Just subtract the amount of miles she went back from the miles she went forward 5 - 5 = 0
Answer:
D. $69,160
Step-by-step explanation:
40,820(10) - 33,904(10) = 408,200 - 339,040 = 69,160
Answer:
Both sizes are better because they cost Same.
Step-by-step explanation:
Consider the provided information.
A coupon offers $1.00 off the 16
Quantity Price
Pint 16 $3.98
Quart 32 $5.98
If he gets $1 off for the 16-ounce size. The price will be:
3.98-1=2.98
He needs to pay $2.98 for 16-ounce pint.
Now find which one is better by calculating the unit rate.

Therefore, the cost of 1lb would be $0.186
For Quart 32 find the unit rate as shown:

Therefore, the cost of 1lb would be $0.186
Hence, both of the size are better as the unit rate is same.
Answer:
the two roots are x = 1 and x = 4
Step-by-step explanation:
Data provided in the question:
(x³ − 64) (x⁵ − 1) = 0.
Now,
for the above relation to be true the following condition must be followed:
Either (x³ − 64) = 0 ............(1)
or
(x⁵ − 1) = 0 ..........(2)
Therefore,
considering the first equation, we have
(x³ − 64) = 0
adding 64 both sides, we get
x³ − 64 + 64 = 0 + 64
or
x³ = 64
taking the cube root both the sides, we have
∛x³ = ∛64
or
x = ∛(4 × 4 × 4)
or
x = 4
similarly considering the equation (2) , we have
(x⁵ − 1) = 0
adding the number 1 both the sides, we get
x⁵ − 1 + 1 = 0 + 1
or
x⁵ = 1
taking the fifth root both the sides, we get
![\sqrt[5]{x^5}=\sqrt[5]{1}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E5%7D%3D%5Csqrt%5B5%5D%7B1%7D)
also,
1 can be written as 1⁵
therefore,
![\sqrt[5]{x^5}=\sqrt[5]{1^5}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E5%7D%3D%5Csqrt%5B5%5D%7B1%5E5%7D)
or
x = 1
Hence,
the two roots are x = 1 and x = 4