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
Answer:
see below
Step-by-step explanation:
If your calculator doesn't have a % key, you can change each of the percentages to a decimal by dividing the numerical value by 100. "%" means "/100".
44% = 44/100 = 0.44 . . . . . . both fractions are read "forty-four hundredths"
Then 44% of 205 = 0.44×205 = 90.2
When you have repetitive calculations like this, a spreadsheet or calculator is handy.
answer
15 seconds
set up distance equation
to find the shortest distance between corners, we can use the Pythagorean theorem 
a is the width or 160 feet
b is the length or 300 feet
find distance
plug in values to find c, the distance


115600 = 
c = 
c = 340 feet
set up time equation
to find the time it takes to run from corner to corner, we can use the equation

find speed in feet/second
convert the speed of 15 miles/hour into feet/second

= 22 feet/second
find time
since we now know distance and speed with the appropriate units, we can find time
plug values into 
distance = c = 340 feet
speed = 22 feet/second

time = 15.4545 ≈ 15 seconds
Answer:
288 ounces
Step-by-step explanation:
1lb=16 ounces plus 8 ounces (1/2lb)= 24 ounces
24 x 12 (bags) = 288
Answer:
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Step-by-step explanation:
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