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anyanavicka [17]
3 years ago
8

Answer the question

Mathematics
1 answer:
nasty-shy [4]3 years ago
5 0
We can do anything to an equation as long as we do it to both sides

given: \sqrt{3+\frac{(4+\sqrt{x+3})^2}{6}}=3
square both sides
3+\frac{(4+\sqrt{x+3})^2}{6}=9
minus 3 from both sides
\frac{(4+\sqrt{x+3})^2}{6}=6
multiply both sides by 6
(4+\sqrt{x+3})^2=36 square root both sides, remember to take the positive and negative roots [tex]4+\sqrt{x+3}=+/-6
minus 4
\sqrt{x+3}=-4+/-6
square both sides
do for -4+6 and -4-6 (2 and -10)
x+3=4 and x+3=100
minus 3
x=1 and x=97
test for extraneous roots
x=97 doesn't work


the answer is x=1
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In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and de
Svetach [21]

Answer:

The 99% confidence interval for the proportion of ASD in Arizona is (0.014, 0.018).

Step-by-step explanation:

The information provided is as follows:

x=507\\n=32601\\\text{Confidence level }=99\%

The sample proportion is:

\hat p=\frac{x}{n}=\frac{507}{32601}=0.016

The critical value of <em>z</em> for 99% confidence level is, <em>z</em> = 2.56.

Compute the 99% confidence interval for the proportion of ASD in Arizona as follows:

CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}

    =0.016\pm 2.58\cdot\sqrt{\frac{0.016(1-0.016)}{32601}}\\\\=0.016\pm 0.0018\\\\=(0.0142, 0.0178)\\\\\approx (0.014, 0.018)

Thus, the 99% confidence interval for the proportion of ASD in Arizona is (0.014, 0.018).

6 0
3 years ago
Please help!!! The answer is 9
faust18 [17]
The answers are in the introverts with 80 and 2% ferinheit or celcius 
5 0
4 years ago
Mandy and Jordan each bought some of the same notebooks and the same three-ring binder. Mandy paid $5.85 for 3 notebooks and 1 b
skelet666 [1.2K]
1 notebook costs $3.45

let's turn this into 2 equations, n being notebook price, and b being binder price ->

mandy -> 3n + b = 5.85
jordan -> 2n + b = 4.65

we need to take one equation, simplify for b, and plug it into the other equation, let's take jordan's equation for this ->

b = 4.65 - 2n

plug it into mandy's equation

3n + (4.65 - 2n) = 5.85

simpify until you get n = 1.20
take this and plug it back into jordan's equation ->

2(1.20) + b = 4.65
simplify until you get b = 2.25
plus this value into mnady's equation ->

3n + (2.25) = 5.85
simplify until you get that n = 2.25
3 0
3 years ago
Read 2 more answers
Factor the expression 30a+35​
kherson [118]
<h3>Answer is   5(6a+7)</h3>

=====================================

The GCF is 5, which can be factored out of the expression

Note how

30a = 5*6a

35 = 5*7

So we see the common factor between the two terms. You use the distribution property to pull out that 5. If you were do distribute the 5 back in, you'd get

5(6a+7) = 5*6a+5*7 = 30a+35

5 0
4 years ago
Read 2 more answers
An air conditioner is turned on at 1:00 pm. By 3:30 pm the room temperature had dropped from 82F to 72F. Find the average rate o
Sladkaya [172]

Given:

From 1:00 pm to 3:30 pm the room temperature had dropped from 82F to 72F.

To find:

The average rate of change of temperature in this room over the period.

Solution:

Time between 1:00 pm to 3:30 pm is 2 hr 30 minutes, i.e., 2.5 hours.

So, change in time is 2.5 hours.

Room temperature had dropped from 82F to 72F.

Change in temperature = 72 F - 82 F

                                        = -10 F

We know that, average rate of change of temperature in this room over the period is

m=\dfrac{\text{Change in temperature}}{\text{Change in time}}

m=\dfrac{-10}{2.5}

m=-4

Therefore, the average rate of change of temperature in this room over the period is -4. It means the temperature is decreasing 4 F per hour.

7 0
3 years ago
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