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worty [1.4K]
3 years ago
9

PLS HELP I DONT KNOW THIS ONE

Mathematics
1 answer:
VMariaS [17]3 years ago
7 0

Answer:

x+3

---------------

(x-3)(x-2)(x-4)

Step-by-step explanation:

x+4             x^2 -16

---------------÷ -------------

x^2 - 5x+6     x+3

Copy dot flip

x+4                x+3

--------------- * -------------

x^2 - 5x+6     x^2 -16

Factor

x+4                x+3

--------------- * -------------

(x-3)(x-2)     (x-4)(x+4)

Cancel like terms

1                   x+3

--------------- * -------------

(x-3)(x-2)     (x-4)1

x+3

---------------   x cannot equal 3,2,4 -4

(x-3)(x-2)(x-4)

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Manuel bought a balloon (that is a perfect sphere) with a radius of 2 \text{ cm}2 cm2, start text, space, c, m, end text. He wan
mote1985 [20]

Answer:

<h2>The required ratio is 8</h2>

Step-by-step explanation:

Volume of a sphere = \frac{4}{3}\pi  r^{3} where r is the radius of the sphere.

If manuel bought a balloon (that is a perfect sphere) with a radius of 2cm, the original volume of the sphere is expressed as;

Vo = \frac{4}{3}\pi  (2)^{3}

Vo  = \frac{4}{3}\pi *8\\Vo = \frac{32 \pi}{3}

If he wanted his balloon to be bigger and he blew 2 big breaths of air into the balloon, if each big breath increased the balloon's radius by 1cm, the total radius will be the initial radius of the sphere plus the new radius after expansion.

radius of current sphere = 2cm+(1cm+1cm) = 4cm

Volume of the current sphere Vc = \frac{4}{3}\pi  (4)^{3}

Vc = \frac{4}{3}\pi *64\\Vc = \frac{256 \pi}{3} \\

The ratio of the current volume of the balloon Vc to the original volume of the balloon Vo will be expressed as;

Vc/Vo = \frac{\frac{256\pi}{3} }{\frac{32\pi}{3} }

\frac{Vc}{Vo}=\frac{256\pi}{3}*\frac{3}{32\pi}   \\\frac{Vc}{Vo}=\frac{256}{32}\\\frac{Vc}{Vo}= 8

The required ratio is 8

3 0
2 years ago
Is 3/5 and 1/10 closest to 0, 0.5, or 1
GaryK [48]
To determine the answer, we need to express the fractions into its decimal counterparts. 3/5 is equal to 0.6 therefore it is closest to 0.5 while 1/10 is equal to 0.1 therefore it is the last option. Hope this answers the question. Have a nice day.
6 0
3 years ago
What is the domain of g?
Mrac [35]

Answer:

Solution. The domain of g(x) consists of all real numbers except x = 32, since that input value would cause us to divide by 0. Likewise, the domain of f consists of all real numbers except 1. So we need to exclude from the domain of g(x) that value of x for which g(x) = 1.

Step-by-step explanation:

7 0
3 years ago
A reporter for a student newspaper is writing an article on the cost of off-campus housing. A sample was selected of 10 one-bedr
olga55 [171]

Answer:

(507.05, 592.95)

Step-by-step explanation:

Given data:

sample mean = $550, sample standard deviation S = $60.05

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For 95% confidence interval for the mean

mean ± M.E.

where M.E. is margin of error = t_{n-1}, \alpha/2\times\frac{S}{\sqrt{n} }

Substituting the values in above equation

=t_{10-1}, 0.05/2\times\frac{60.05}{\sqrt{10} }

= 2.62×18.99

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6 0
3 years ago
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I hope this helps
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