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weeeeeb [17]
2 years ago
14

Simplify 5(4x³y²)³/(4x⁵y³)⁴

Mathematics
1 answer:
Maksim231197 [3]2 years ago
8 0

Answer:

<u>5</u>

4x^11*y^6

In words:

5 over 4x to the 11th power times y to the 6 power.

Step-by-step explanation:

simplify from original to this:

<u>5x^9*y^6</u>

4x^20*y^12

=

<u>5y^6</u>

4x^11*y^12

=

<u>5</u>

4x^11*y^6

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The volume of a sphere is 4,500π cubic yards. What is the radius of the sphere?
algol [13]

Answer:

  • 15

Step-by-step explanation:

In the question it is given that the volume of a sphere is 4,500π cubic yards. And we have to find the radius.

We know that,

  • 4/3πr³ = Volume of a sphere

Now, Substituting the values in the fomulae :

⇒ 4/3πr³ = 4500π

Cancelling π from both sides :

⇒ 4/3r³ = 4500

⇒ 4r³ = 4500 × 3

⇒ 4r³ = 13500

⇒ r³ = 13500/4

⇒ r³ = 3375

Taking cube root on both sides we get :

⇒ r = 15

Therefore,

  • <u>The radius of the sphere is 15 yards</u>
5 0
3 years ago
Read 2 more answers
If you can please help thank you
zysi [14]

Answer:

d) 2x^2 + 2x -59

Step-by-step explanation:

(x-8)(x+4) + (x-3)(x+9) *multiply each term (...)(...)*

x^2 - 4x - 32 + x^2 + 6x -27 *combine like terms*

2x^2 +2x - 59

7 0
3 years ago
PLEASE HELP NEED!!!!
xenn [34]

Step-by-step explanation:

Make the percentages into decimals by dividing by 100. Find germany by subtracting japan and USA from 1

Japan is 0.53

USA = 0.37

Germany = 0.1

8 0
3 years ago
Homer and Bart plan to buy one computer for $499.00 strictly for gaming
kati45 [8]

Answer:

Part A: T(x) = $49.99x + $499.00

Part B: $748.95

Part C: T(x) = $49.99x + $24.99y + $499.00

Part D: $773.93

Step-by-step explanation:

Part A:

Let x represent the amount of games bought. Let T(x) represent total cost.

T(x) = $49.99x + $499.00

Part B:

T(x) = $49.99(5) + $499.00

T(x) = $249.95 + $499.00

T(x) = $748.95

Part C:

Let y represent the amount of controllers bought.

T(x) = $49.99x + $24.99y + $499.00

Part D:

T(x) = $49.99(4) + $24.99(3) + $499.00

T(x) = $199.96‬ + $74.97 + $499.00

T(x) = $773.93

7 0
3 years ago
If you mow 24 lawns and earn 10.50 for each lawn,your total earing are?
Sladkaya [172]
If one lawn is 10.50, then to find 24 lawns you times it by the earnings of one lawn (i.e. 10.50)
The sum would be: 10.50 x 24
The answer to that would be 252.00.
(Remember to add in the currency sign in front of the answer (eg. £ $ etc)
7 0
4 years ago
Read 2 more answers
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