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marysya [2.9K]
3 years ago
8

Solve for x, given the equation Vx+9 - 4 = 1. Is it extraneous or not

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
5 0

Answer:

-4/x     it is not

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a norman window has the shape of a rectangle surmounted by a semicircle. if the perimeter of the window is 25 feet, express the
sp2606 [1]

The area of the window is \frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}

The shape of the Norman window is described as a rectangle surmounted by a semicircle.

Let 'x' be the width of the window.

Then this width corresponds to the diameter of the semicircle.

That is, radius of the semicircle = x/2

Now given the perimeter of the whole window = 25 ft

This perimeter is equal to the sum of 3 sides of the rectangle and the perimeter of the semicircle.

Perimeter of the semicircle = \frac{2\pi r}{2} = \frac{\pi x}{2} , where r is the radius of the semicircle.

Now let 'y' be the length of the window.

Then sum of three sides of the window = 2y + x

So 2y + x + \frac{\pi x}{2} = 25

Therefore, y =( 25 - x - \frac{\pi x}{2} ) / 2

Area of the window = Area of the semicircle + Area of the rectangle =

 \frac{\pi x^2}{8} +xy = \frac{\pi x^2}{8} + x( 25 - x - \frac{\pi x}{2} ) / 2\\ = \frac{\pi x^2}{8} + (25x - x^2 - \frac{\pi x^2}{2} ) / 2

 So Area of the window = \frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}

Learn more about area of circle and rectangle at brainly.com/question/4694841

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1 year ago
Help help help help help help help help help help help help help help help help help help​
kvv77 [185]

Answer:

Step-by-step explanation:

Part 1

P(z < -1.45)

Using the z score table

P =

Part 2

We solve using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

a) P(X >52)

x = 52

Mean = 60

Standard deviation = 8

z = 52 - 60/8

z = -1

P-value from Z-Table:

P(x<52) = 0.15866

P(x>52) = 1 - P(x<52) = 0.84134

b) P(48 < x < 64)

5 0
2 years ago
MATH PLEASE HELP 20 POINTS!
Igoryamba
1. d
x-intercept (y=0) is -4
y-intercept (x=0) is 8

2. d
x-intercept (y=0) is 16
y-intercept (x=0) is 20

3. b
y=1/6x+4
multiplied by 6
6y=x+24
-x+6y=24

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What is the interest you will pay if you borrowed $120 at 5% interest for 6 years?
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Answer:

Hope this helps!

Step-by-step explanation:

We will need the loan payment formula:

That formula is really complex and we expect you to solve it.

Your monthly payment would be $1.93 per month for 6 years making the TOTAL loan cost 1.93 * 12 * 6 = 138.96

Since the principal you borrowed is $120 the total interest =

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Which weighs more, a pound of cotton or a pound of bricks?
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Is this a trick question? They're both a pound. 
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