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nekit [7.7K]
2 years ago
7

Find the circumference

Mathematics
1 answer:
Crazy boy [7]2 years ago
3 0
Find the circumference of what? the formula u use for circumfrence is 
c=2(pie)r
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Find two solutions to the equation (x^3 − 64)(x^5 − 1) = 0.
Rashid [163]

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}

also,

1 can be written as 1⁵

therefore,

\sqrt[5]{x^5}=\sqrt[5]{1^5}

or

x = 1

Hence,

the two roots are x = 1 and x = 4

4 0
3 years ago
1. What is 44% of 205
-Dominant- [34]

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.

5 0
3 years ago
suppose that a player can run at a speed of 15 miles per hour. how many second will it take for the player to run from one corne
kvv77 [185]

answer

15 seconds

set up distance equation

to find the shortest distance between corners, we can use the Pythagorean theorem a^2 + b^2 = c^2

a is the width or 160 feet

b is the length or 300 feet

find distance

plug in values to find c, the distance

a^2 + b^2 = c^2

160^2 + 300^2 = c^2

115600  = c^2

c = \sqrt{115600}

c = 340  feet

set up time equation

to find the time it takes to run from corner to corner, we can use the equation

time = \frac{distance}{speed}

find speed in feet/second

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

\frac{15miles}{hour} *\frac{5280 feet}{1 miles} * \frac{1 hour}{60 minutes}*\frac{1 minute}{60 seconds}

= 22 feet/second

find time

since we now know distance and speed with the appropriate units, we can find time

plug values into time = \frac{distance}{speed}

distance = c = 340 feet

speed = 22 feet/second

time = \frac{340}{22}

time = 15.4545 ≈ 15 seconds

5 0
3 years ago
A camp counselor needs 12 bags of candy that each weigh 1 1/2pounds. How many ounces of candy does the camp counselor need??
Vitek1552 [10]

Answer:

288 ounces

Step-by-step explanation:

1lb=16 ounces plus 8 ounces (1/2lb)= 24 ounces

24 x 12 (bags) = 288

8 0
2 years ago
Years Since
adell [148]

Answer:

thanks for the points bye bye man is well with you and your family a very happy and prosperous New year

Step-by-step explanation:

thanks for the points bye bye man is a longest time I thought you were going to you angel I love you too baby girl and I will be in

thanks for the points bye bye man

5 0
2 years ago
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