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3 years ago

Solve please 3y^4t^-2/11y^-4

Mathematics

1 answer:

FrozenT [24]3 years ago

8 0

Answer:

$\dfrac{3y^8}{11t^2}$

Step-by-step explanation:

$\dfrac{3y^4t^{-2}}{11y^{-4}} =$

$= \dfrac{3y^{4 - (-4)}}{11t^2}$

$= \dfrac{3y^8}{11t^2}$

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(SHOW WORK THANK YOU) A Machine fills 150 bottles of water every 8 minutes.

inn [45]

Answer:

A. 84

B. 90

C. 360

Step-by-step explanation:

675/8 = 84

12 hours= 720 minutes

90 times 4 = 360

3 0

3 years ago

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If f(x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).

Marina86 [1]

Answer:

$\boxed{\sf (f - g)(x) = 2x - 3}$

Given:

f(x) = 3x - 1

g(x) = x + 2

To Find:

(f - g)(x)

Step-by-step explanation:

$\sf (f -g)(x) = f(x) - g(x) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =(3x - 1) - (x + 2) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3x - 1 - x - 2 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3x - x - 1 - 2 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =(3x - x) - (1 + 2) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =2x - (1 + 2) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =2x - 3$

6 0

3 years ago

The value of the expression -2 xy for x = -4.7 and y = 0.2 is _____.

sergeinik [125]

The value of the expression -2xy for x = -4.7 and y = 0.2 is 1.88. Thus option number 3 is correct.

<u>Solution:</u>

We have been given an expression that is -2xy and have been asked to find its value for the given values of x and y

The given values of x and y are -4.7 and 0.2 respectively.

To find the value of the expression for the given values of x and y we substitute the values of x and y in the given expression and solve it as follows:

Given expression = -2xy

$\begin{array}{l}{=-2(-4.7)(0.2)} \\\\ {=9.4 \times 0.2} \\\\ {=1.88}\end{array}$

Hence the option number 3 is correct.

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3 years ago

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If 21 out of 100 patients have high cholesterol, what percent of the patient population has high cholesterol?

makkiz [27]

Answer: 21%

Step-by-step explanation:

Percent by definition is based on "out of 100." If 21 out of 100 has high cholesterol, then the percentage is 21%

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3 years ago

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a rectangular room is three times as long as it is wide, and its perimeter is 80 meters. find the length of the room

Hoochie [10]

Let the width of the room be = x

Length of the room = 3x, Since it is three times as wide

Perimeter = 80m

Perimeter = 2*(L + W) = 2*(3x + x) = 80

2*(3x + x) = 80

2*(4x) = 80

8x = 80 Divide both sides by 8

x = 80/8

x = 10, But length = 3x, = 3*10 = 30

Length = 30m

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3 years ago