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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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It’s 3.5

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7 0
2 years ago
Giving brainlist to whoever answers
Setler79 [48]

Answer:

m<A=94

Step-by-step explanation:

(2x+10)+(2x+2)=180

4x+12=180

-12 -12

4x=168

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x=42

m<A= 2x+10

m<A=2(42)+10

m<A=84+10

m<A=94

Check:

Add m<A and m<B which should equal 180.

m<B=2x+2

m<B=2(42)+2

m<B=84+2

m<B=86

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3 0
3 years ago
a drawer contains 9 white paper clips, 5 green paper clips, and 6 red paper clips. One paper clip is selected at random. What is
tatyana61 [14]

Answer:

the answer should be 9/14

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
The local swim team is considering offering a new semi-private class aimed at entry-level swimmers, but needs a minimum number o
SCORPION-xisa [38]

Answer:

The significance level is \alpha=0.01 and since we are conducting a right tailed test we need to find a critical value who accumulate 0.01 of the area in the right of the normal standard distribution and we got:

z_{\alpha/2}= 2.326

So we reject the null hypothesis is z>2.326

Step-by-step explanation:

For this case we define the random variable X as the number of entry-level swimmers and we are interested about the true population mean for this variable . On specific we want to test this:

Null hypothesis: \mu \leq 15

Alternative hypothesis: \mu > 15

And the statistic is given by:

z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

The significance level is \alpha=0.01 and since we are conducting a right tailed test we need to find a critical value who accumulate 0.01 of the area in the right of the normal standard distribution and we got:

z_{\alpha/2}= 2.326

So we reject the null hypothesis is z>2.326

7 0
3 years ago
What is the area of this triangle in the coordinate plane?
SpyIntel [72]

Answer:2. Given the points A, B, C, D, calculate:

(a) the angle B of the triangle ABC

(b) the area of the triangle ABC

(c) the median BE of the triangle ABC

(d) the height AH of the triangle ABC

(e) the volume of tetrahedron ABCD

(f) the point E so that ABCE is a parallelogram.

A(-1, 2, -3), B(4, -1, 0), C(2, 1, -2), D( 3,4,5)​

Step-by-step explanation:

5 0
3 years ago
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