Faucet a can fill a water cooler 8 minutes. faucet b can fill the same cooler in 12 minutes. how long will it take both faucets together to fill the water cooler?

Answers

Answer 1
Answer: This is a work problem. We can use theories on ratios and proportion in order to solve this. We do as follows:

Faucet A = 8 minutes to fill
Faucet B = 12 minutes to fill

1/8 + 1/12 = 1/x

let x represent the time it takes for both to fill the cooler

x = 4.8 minutes for  both to fill the cooler

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7. (3 pt) What is the distance between points (−2, 8) and (6, −2)? Round to the nearest tenth of a unit.

Answers

The Exact answer is 12.80625, Rounded to the tenth is 12.8

Which are all the solutions of 5sinθ-4=2sinθ-4, where 0≤θ≤2π

Answers

5sinx-4 =2sinx-4
5sinx-2sinx= 4-4
3sinx=0
sinx=(0÷3)
sinx = 0
x = sin^-1 (0)
x= 0 degrees

And also x = (180- 0 ) = 180 degrees


so x; has 2 answers within the above given interval.

They are;
x= 0 degrees and x=180 degrees

Calculate y when x = 5

Y=2x+3

Answers

Answer: y=13

Step-by-step explanation:

y=2(5)+3\nmultiply\ny=10+3\nadd\n10+3=13\ny=13

y=13

Step-by-step explanation:

given that,

x=5

to find,

y=2x+3, when x=5

substitute 5 in the place of "x" we get,

y=2×5+3

according to BODMAS rule( bracket of division multiplication addition and subtraction) first we have to multiply 5 with 2 and then add the product with 3 we get,

y=10+3

y=13

Consider the equation of the line y=-2x+4 what is the value of y when x=2​

Answers

Answer: The value of y is 8

Step-by-step explanation:

Since we know x=2 we can sub in 2 for x in the equation

y=2(2)+4

y=4+4

y=8

Which product is equivalent to 25x2 – 16?(5x − 4)(5x + 4)
(5x + 8)(5x − 8)
(5x − 4)(5x − 4)
(5x − 8)(5x − 8)

Answers

The product that is equivalent to the given expression is: A. (5x-4)(5x+4)..

What are Equivalent Expressions?

Equivalent expressions are expressions that have equal value when simplified.

(5x-4)(5x+4) is equivalent to  25x² – 16 because if we expand we would have:

5x(5x+4) -4(5x+4)

5x² + 20x - 20x - 16

Add like terms

25x² – 16

Therefore, the product that is equivalent to 25x² – 16 is: A. (5x-4)(5x+4).

Learn more about equivalent expressions on:

brainly.com/question/22365614

#SPJ9

the answer is (5x-4)(5x+4) 

Please solve and show work

Answers

Answer:

Step-by-step explanation:

9. f(g(-n))

g(-n) = -(n²+5) = -n²-5

f(g(-n)) = 2n+1 (-n²-5 )

2n(-n²-5)+1(-n²-5 )

-2n³-10n-n²-5

-2n³-n²-10n-5

n²(-2n-1) +5(2n-1)

(n²+5)(2n-1)

10. (2x+2)(x³+3)

2x(x³+3)+2(x³+3)

2x⁴ + 2x³ +6x +6

2x³(x+1)+6(x+1)

(2x³+6)(x+1