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2 years ago

13

Find the measure of the arc

1 answer:

Natali [406]2 years ago

4 0

Hmmm I think it’s...

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Express p in terms of q if

Irina-Kira [14]

$p=x^2+\dfrac{1}{x^2}\\\\p=\dfrac{x^4}{x^2}+\dfrac{1}{x^2}\\\\p=\dfrac{x^4+1}{x^2}\qquad(*)$

$q=x+\dfrac{1}{x}\\\\q=\dfrac{x^2}{x}+\dfrac{1}{x}\\\\q=\dfrac{x^2+1}{x}\qquad\text{square both sides}\\\\q^2=\left(\dfrac{x^2+1}{x}\right)^2\\\\q^2=\dfrac{(x^2+1)^2}{x^2}\qquad\text{use}\ \ (a+b)^2=a^2+2ab+b^2\\\\q^2=\dfrac{(x^2)^2+2(x^2)(1)+1^2}{x^2}\\\\q^2=\dfrac{x^4+2x^2+1}{x^2}\\\\q^2=\dfrac{x^4+1}{x^2}+\dfrac{2x^2}{x^2}\\\\q^2=\dfrac{x^4+1}{x^2}+2\qquad\text{subtract 2 from both sides}\\\\q^2-2=\dfrac{x^4+1}{x^2}\\\\\text{From (*) we have}\\\\\boxed{p=q^2-2}$

8 0

2 years ago

There are 16 players on the soccer team. 11 play the time. They all play equal number of quarters, but how many get to play an e

Veseljchak [2.6K]

I think the answer is 6

3 0

3 years ago

Read 2 more answers

Evaluate 2+3y when y=8

zalisa [80]

Plug 8 into the equation for y and you get 2+24 or 26.

6 0

3 years ago

Read 2 more answers

Pls help ASAP ILL GIVE BRAINLYEST

docker41 [41]

Xavier

he charges $10 per hour

good luck :)

6 0

3 years ago

Ian is a phycologist interested in determining the proportion of algae samples from a local rivulet that belonged to a particula

pickupchik [31]

Answer: 16590

Step-by-step explanation:

The formula we use to find the sample size is given by :-

, where p = prior estimate of population proportion.

$z^*$ = Critical z-value (Two- tailed)

E= Margin of error .

Let p be the population proportion of cyanobacteria.

Given : E = 0.01

Critical value for 99% confidence interval : $z^*=2.576$

If Ian does not want to rely on previous knowledge , then we assume p=0.5 because the largest standard error is at p=0.5.

Now, the required sample size = $n=0.5(1-0.5)(\frac{2.576}{0.01})^2$

$n=0.25(257.6)^2=0.25(66357.76)=16589.44\approx16590$

Required sample size = 16590

5 0

3 years ago