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denis-greek [22]
3 years ago
11

If gh-f=g-h, which of the following gives g in terms of the other variables?

Mathematics
1 answer:
JulsSmile [24]3 years ago
5 0

The value of g in terms of other variables is g=\frac{f+h}{h-1}

Given the expression;

gh-f=g-h

We are to express g in terms of other variables as shown;

gh-f=g-h

Collect the like terms

gh - g = f + h

Factor out g

g(h - 1) = f + h

Divide both sides by h-1

g=\frac{f+h}{h-1}

Hence the value of g in terms of other variables is g=\frac{f+h}{h-1}

Learn more here: brainly.com/question/21406377

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Find the volume of a rectangular prism with a length of x + 8, a width of x – 3, and a height of x – 2. What is its volume expre
nikklg [1K]

We know that volume is : Base area times height .

here base is a rectangle : the length and width are : ( x+8) and ( x-3)

Area of the rectangle = length times width

= ( x+8)* ( x-3)

The volume o f the prism = base area times height

= ( x+8)( x-3) * (x-2)

Let us expand it . = ( x * x -3x + 8x - 8* 3 ) ( x-2)

= ( x^2 + 5x - 24)( x-2)

= x^2* x - 2x^2 + 5x* x - 5x* 2 - 24x -24*-2

= x^3 - 2x^2 + 5x^2 -10x -24x + 48

= x^3 + 3x^2 - 34x + 48

This is the expression for volume .

3 0
4 years ago
Find the area of each figure to determine the area of the composite figure. The area of the rectangle is 44 m2. The area of the
Usimov [2.4K]

Answer:

The area of the circle is 12.6 m2

DIVIDE the area of the circle by 2 to find area of the semicircle.

To find the area of the composite figure, ADD the area of the rectangle and the area of the semicircle.

Step-by-step explanation:

Hope this helps

Sorry needed points

7 0
3 years ago
Read 2 more answers
According to the U.S. Census Bureau, 11% of children in the United States lived with at least one grandparent in 2009 (USA TODAY
Yakvenalex [24]

Answer:

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that  the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%

Step-by-step explanation:

From the question we are told that

   The population proportion is p = 0.11

   The sample size is  n =  1640

   The number found to be living with at least one grandparent is k = 225

   The level of significance is  \alpha  = 0.02

   The null hypothesis is H_o : p = 0.11

   The alternative hypothesis is  H_a :  p > 0.11

Generally the sample proportion is mathematically represented as

     \^ p = \frac{ k }{n}

=>  \^ p = \frac{ 225 }{1640 }

=>  \^ p = 0.1372

Generally the test statistics is mathematically represented as

     z= \frac{\^ p - p }{ \sqrt{\frac{p(1- p)}{n} } }

=>z = \frac{ 0.1372 - 0.11 }{ \sqrt{\frac{0.11(1- 0.11)}{1640} } }

=>z = 0.0077

From the z table  the area under the normal curve to the left corresponding to  0.0077  is  

    p-value  = P(Z > 0.0077) =  0.4969

From the value obtained we see that p-value  >  \alpha hence

The decision rule is  

Reject the null hypothesis

The conclusion is  

 There is no sufficient evidence to show that  the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%

3 0
3 years ago
I need help with these ASAP thanks
Nataly_w [17]

Answer:

a. y=\frac{2x}{x-5}

b. y=\frac{2-4x}{x-3}

Step-by-step explanation:

change switch x and y and then solve for y.

a. x=\frac{5y}{y-2}

x(y-2)=5y

xy-2x=5y

xy-5y=2x

y(x-5)=2x

y=\frac{2x}{x-5}

same for b.

b. x=\frac{3y+2}{y+4}

x(y+4)=3y+2

xy+4x=3y+2

xy-3y=2-4x

y(x-3)=2-4x

y=\frac{2-4x}{x-3}

4 0
3 years ago
Please help! Due today!
devlian [24]
<span>The answer is <span>in the file</span></span>

4 0
3 years ago
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