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3 years ago

What is the domain of the function f(x) = x^2-9/x-3 in set notation and in interval notation?

Mathematics

1 answer:

nataly862011 [7]3 years ago

8 0

Answer:

the domain is f[x]=x2x5ty57ju68jujokm000oikukoii

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How many proper subsets does the set T = {i, c, j, e} have?

Gala2k [10]

Number of proper subsets = 2^number of elements- 1
= 2^n - 1
No of elements = 4
2^4-1 = 16-1 = 15

5 0

3 years ago

Is the sqrt of 1 - sin^2 theta = cos theta true? If so, in which quadrants does angle theta terminate?

Genrish500 [490]

Answer:

Answer: The answer is option B.

Step-by-step explanation:

Here,

We have,

${ \sin }^{2} theta \: + {cos}^{2}theta = 1$

${cos}^{2} \: theta = 1 - {sin}^{2} \: theta$

$cos \: theta = \sqrt{1 - { \sin }^{2}theta }$

So, it's true; and it lies in quadrant 1 and 4.

The reason according to the "CAST" rule cos theta is in 1st and 3rd quadrant cos theta is positive.

7 0

3 years ago

At 7 p.m. the wind-chill temperature was 4°F. By 10 p.m., it had fallen 11

Simora [160]

Answer:

-7

Step-by-step explanation:

4-11=-7

3 0

3 years ago

The approximate molar concentration of several chemicals are given. Find the pH of each use the calculator and round to the near

mojhsa [17]

Answer:

$pH = 13$ --- Oven Cleaner

$pH = 6.2$ --- Water

$pH =7.4$ --- Blood

$pH = 2.2$ --- Vinegar

Step-by-step explanation:

The given molar concentration are:[Missing from the question]

Oven Cleaner: [h+] = $10^{-13}$

Water: [h+] = $0.0000007$

Blood: [h+] = $0.00000004$

Vinegar: [h+] = $0.0063$

Required

Determine the pH

pH is calculated using:

$pH = -\log(h+)$

So, we have:

Oven Cleaner:

$pH = -\log(10^{-13})$

Using a calculator, we have:

$pH = 13$

Water:

$pH = -\log(0.0000007)$

Using a calculator, we have:

$pH = -1*-6.2$

$pH = 6.2$

Blood:

$pH = -\log(0.00000004)$

Using a calculator, we have:

$pH = -1 * -7.4$

$pH =7.4$

Vinegar:

$pH = -\log(0.0063 )$

Using a calculator, we have:

$pH = -1 * -2.2$

$pH = 2.2$

4 0

3 years ago

If there are 36 performer's in a dance recital and the ratio of men and women are 2:7.How many of the men where performer's?????

lianna [129]

Ok, so there are 2 men per 7 women so we can just scale up so there are 4 men per 14 women and then 6 men per 21 women but there are 36 performers so we have to keep going till it equals 36 people so 8 men per 28 women = 36 people so 8 men!

4 0

3 years ago