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Sidana [21]
3 years ago
7

(5x - 2y)^3 Expand using Bionomial Theorum. Show steps, please.

Mathematics
1 answer:
tatyana61 [14]3 years ago
7 0

Answer:

125x³ − 150x²y + 60xy² − 8y³

Step-by-step explanation:

(5x − 2y)³

₃C₀ (5x)³ (-2y)⁰ + ₃C₁ (5x)² (-2y)¹ + ₃C₂ (5x)¹ (-2y)² + ₃C₃ (5x)⁰ (-2y)³

(1) (125x³) (1) + (3) (25x²) (-2y) + (3) (5x) (4y²) + (1) (1) (-8y³)

125x³ − 150x²y + 60xy² − 8y³

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Charlie made $198 for 11 hours of work. At the same rate, how many hours would he have to work to make $126? ​
goldenfox [79]

Answer:

Charlie would have to work 7 hours to make $126.

Step-by-step explanation:

198 ÷ 11 = 18

$18 - 1 hour

126 ÷ 18 = 7

4 0
3 years ago
Miguel bikes 23 km per hour and starts at mile 10. Gabby bies 28 km per hour and starts at mile 0. Which system of linear equati
pashok25 [27]

Answer:

y = 23x + 10

y = 28x + 0

Step-by-step explanation:

Given that:

Miguel :

Velocity = 23 km/hr

Starting position = 10 miles

Gabby:

Velocity = 28 km/hr

Starting position = 0 miles

The general form of a linear equation :

y = mx + c

In the scenario above ; the starting points corresponds to the intercept, c

The distance moved per hour (velocity) is the slope (m), which is the change in y per unit change in x

Hence ;

Miguel:

y = 23x + 10

Gabby:

y = 28x + 0

5 0
3 years ago
The gift shop at a science museum sells lollipops that are made to look like the planets. Each lollipop is shaped like a sphere
musickatia [10]

Answer:

7238.23

Step-by-step explanation:

v=4/3πrcubed

solve it and get the answer

8 0
3 years ago
The area of a square mat is 125 square inches. The best approximation of its length is inches. If the length of each side is inc
gtnhenbr [62]
The area of a square is simply the side length squared and we are given that the area is 125 so:

s^2=125

s=√125

s=5√5

Now using the area equation again, and adding 1 inch to s we have:

A=(s+1)^2, and using s found above we have:

A=(5√5+1)^2

A=125+10√5+1

A=126+10√5 in^2

A≈148.36 in^2  (to nearest hundredth of a square inch)
4 0
4 years ago
Read 2 more answers
MARKING BRAINLIEST!
attashe74 [19]

Answer:

10,350$

Step-by-step explanation:

2,300÷2=1,150

1,150×2=2,300

1,150×9=10,350

5 0
3 years ago
Read 2 more answers
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