MATHEMATICS HIGH SCHOOL

4^3 • 5^3 and 20^3, Are the expressions equivalent? Yes or no?

Answers

Answer 1
Answer:

Hey there!

4^3 * 5^3 = ?

4^3

= 4 * 4 * 4

= 16 * 4

= [64]

5^3

= 5 * 5 * 5

= 25 * 5

= [125]

125 * 64

= [8,000]

20^3

= 20 * 20 * 20

= 400 * 20

= 8,000

8,000 = [8,000]

Therefore, this statement is TRUE so your answer is: [YES]

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)
Answer 2
Answer:

Answer:

Yes

Step-by-step explanation:

4³ × 5³

(4 × 5)³

=20³

Both are equivalent

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2.67 as a simplified fraction someone help pls tysm if u do

Answers

Answer:

2 67/100

Step-by-step explanation:

267/100= 2 67/100 = 2.67

Simplify: (2x - 5y)(7x-2y)
help plz

Answers

Answer:

14x+10y

Step-by-step explanation:

(2x-5y)(7x-2y)

(2x*7x)(-5y*-2y)

An oil refinery produces gasoline from crude oil. For every 10,000 barrels of crude oil supplied, the refinery can produce 6,500 barrels of gasoline. How many barrels of gasoline can be produced from 3,500 barrels of crude oil?

Answers

2,275 barrels of refined oil will be produced from 3,500 barrels of crude oil.


with the information that from 10,000 barrels of crude oil, 6,500 barrels of refined oil are produced, it immediately pops out that from x amount of crude oil, 65% will be refined.

now we need to find what is 65% of 3,500

(65)/(100) = (x)/(3,500)
to find x, we multiply 65 × 3,500 and that amounts to 227,500
that then is divided by 100 so 227,500 ÷ 100 = 2,275
10000 barrels of crude oil produces 6500 barrels gasoline 
1 barrel of crude oil will produce 6500÷10000 barrels of gasoline 
3500 barrels of crude oil will produce 6500 × 3500 ÷10000 barrels 
= 3500 barrels of crude oil produce 2275 barrels of gasoline

Convert the angle 13°38'35\" to decimal degrees and round to the nearest hundredth of a degree..

Answers

We want to convert the angle  13°38'35\" to decimal degrees and round to the nearest hundredth of a degree. The answer will be 13.6397 degrees.
Hello,

13°38'35"=13°+38/60°+35/3600°=13,643055...≈13.64

An other way, using Windows 's calculator:

13.3835 INV DMS (or deg)

Graph x^3-x^2-2x=0 what are the solutions of the equation

Answers

x^3 - x^2 - 2x = 0
x ( x^2 - x - 2 ) = 0
x (x-2) (x+1) = 0
x = 0
x-2 = 0 --> x = 2
x+1 = 0 --> x = -1

x = 0, x = 2, x = -1

How to solve using perfect square
x^2-4x-32=0

Answers

Perfect\ square:(a-b)^2=a^2-2ab+b^2\n\nx^2-4x-32=0\ \ \ \ |add\ 32\ to\ both\ sides\n\nx^2-4x=32\n\nx^2-2x\cdot2=32\ \ \ \ |add\ 2^2\ to\ both\ sides\n\nx^2-2x\cdot2+2^2=32+2^2\n\n(x-2)^2=32+4\n\n(x-2)^2=36\iff x-2=-√(36)\ or\ x-2=√(36)\n\nx-2=-6\ or\ x-2=6\ \ \ \ |add\ 2\ to\ both\ sides\n\n\boxed{x=-4\ or\ x=8}
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