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Svetlanka [38]
3 years ago
5

What are the solutions to the equation and check for extraneous solutions: 16=(x-2)^2/3

Mathematics
1 answer:
GuDViN [60]3 years ago
5 0

Answer:

we have  x = -62 or x = 66

Step-by-step explanation:

16=(x-2)^2/3

I would take square root first

4 =  (x - 2)^ (1/3)

or   -4  =  (x - 2)^(1/3)

.....

4^3  =  x - 2

64 = x - 2

x = 66

or  -4 ^3 = x - 2

-64 = x - 2

x = -62

we have  x = -62 or x = 66

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If h(x) = 6 – x, what is the value of (hxh) (10)
vova2212 [387]

For those who may need it in the future, the answer on e1010 is actually: C: 10

8 0
3 years ago
Which statement is true? 5 6 8 27 을 ll < - 3 8 4 8 6 6
Neko [114]
Fractions

We are going to be checking each statement in order to find which of them are correct:

<h2>5/6 < 6/8 - 5/6 is smaller than 6/8</h2>

We can see that in the drawing 3/8 is smaller than 5/6. Then this statement is false.

<h2>4/6 < 5/8 - 4/6 is smaller than 5/8</h2>

We can see that in the drawing 5/8 is smaller than 4/6. Then this statement is false.

<h2>2/6 = 3/8 - 2/6 is equal to 3/8</h2>

We can see that in the drawing 3/8 is bigger than 2/6. Then this statement is false.

<h2>3/6 = 4/8 - 3/6 is equal to 4/8</h2>

We can see that in the drawing 4/8 is equal to 3/6. Then this statement is true.

<h2>Answer: 3/6 = 4/8</h2>

6 0
1 year ago
Your neighbor had to drop the selling price of her home from $180,000 to $165,000. What percent did the price get lowered? Round
Vikki [24]
You could do 165,000 divided by 180,000. This is 165000/180000, and that will give you the percentage that 165000 is of 180000 in decimal form, which is 0.9167.
Then we round to the nearest tenth, which is 0.92
0.92 as a percentage is 92%.
100% - 92% = 8%
The price of the home dropped by 8%.
8 0
3 years ago
The compressive strength of concrete is normally distributed with mu = 2500 psi and sigma = 50 psi. A random sample of n = 8 spe
ipn [44]

Answer:

The standard error of the sample mean is _17.677_ psi.

Step-by-step explanation:

<u>Explanation</u>:-

A random sample of n = 8 specimens is collected.

Given sample size is n = 8

Given mean of the population 'μ' = 2500 psi

standard deviation 'σ' = 50 psi

Let x⁻ is the mean of the observed sample

Standard error of the sample mean = \frac{S.D}{\sqrt{n} }      ...(i)

Given Population of standard error (S.D) 'σ' = 50 psi

Now substitute all values in (i)

S.E = \frac{50}{\sqrt{8} } =17.677

<u>Conclusion</u>:-

The standard error of the sample mean is _17.677psi.

7 0
3 years ago
A diver who has a mass of 68 kg climbs to a diving platform that is 7.5 m above the surface of a pool. How much gravitational po
coldgirl [10]

Answer:

option D

4998 J

Step-by-step explanation:

Given in the question that,

mass of the diver = 68 kg

distance of the diver from the surface of a pool = 7.5 m

The gravitational potential energy of an object is given by

GPE = m(g)(h)

here,

<em> m is the mass of the diver</em>

<em> g is the acceleration due to gravity = 9.81m/s²</em>

<em> h is the height from the surface</em>

<em />

Plug values in the formula to calculate GPE

GPE = 68(9.8)(7.5)

        = 4998 J

Therefore, the gravitational potential energy of the diver with respect to the surface of the pool is 4998 J

6 0
3 years ago
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