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scoundrel [369]

3 years ago

6

Find the interval on which the curve of y equals the integral from 0 to x of 2 divided by the quantity 1 plus 3 times t plus t s

quared, dt is concave up. (10 points)

1 answer:

rewona [7]3 years ago

6 0

Answer:

Interval: (-3/2, ∞)

Explanation:

Let me double check.

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4x + 4 = 2x + 36<br> HELP ASAP

Anarel [89]

Answer
16
Explanation
4x+4=2x+36
-4. -4
4x=2x+32
-2x -2x
2x=32
x=16

8 0

3 years ago

Read 2 more answers

2.<br> Which of the functions below is an inverse of the quadratic function f(x) = x2 - 3 ?

mezya [45]

Answer:

the inverse of the quadratic function $f(x) = x^2 - 3$ is $\mathbf{f^{-1}(x)=\pm \sqrt{x+3}}$

Step-by-step explanation:

We need to find inverse of the quadratic function $f(x) = x^2 - 3$

Let

$y=x^2-3$

Replace x and y

$x=y^2-3$

Now, we will solve for y

Adding 3 on both sides

$x+3=y^2-3+3$

$x+3=y^2$

Taking square root on both sides

$\sqrt{y^2}=\sqrt{x+3}\\y=\pm \sqrt{x+3}$

Now replace y with $f^{-1}(x)$

$f^{-1}(x)=\pm \sqrt{x+3}$

So, the inverse of the quadratic function $f(x) = x^2 - 3$ is $\mathbf{f^{-1}(x)=\pm \sqrt{x+3}}$

3 0

3 years ago

Place each of the digits 1, 3, 5, and 6 in the blanks provided to create an expression whose value is 1/10

kompoz [17]

Answer:

$\frac{1}{5}\times \frac{3}{6}=\frac{3}{30}$

Step-by-step explanation:

From the picture attached,

Multiplication of two fractions gives the result as $\frac{1}{10}$ .

This shows that the denominator of the fractions when multiplied with each other results a number that will be the multiple of 10.

Therefore, from the given numbers,

5 × 6 = 30

Rest two numbers be placed as the numerator of the fractions.

$\frac{1}{5}\times \frac{3}{6}=\frac{3}{30}$

$=\frac{1}{10}$

Therefore, $\frac{1}{5}\times \frac{3}{6}=\frac{1}{10}$ will be the answer.

3 0

3 years ago

A recent study examined hearing loss data for 1981 U.S. teenagers. In this sample, 369 were found to have some level of hearing

ruslelena [56]

Answer:

There is no enough evidence to support the claim that the proportion of US teens that have some level of hearing loss differs from 20%.

P-value=0.12

Step-by-step explanation:

We have to perform a test of hypothesis on the proportion.

The claim is that the proportion of US teens that have some level of hearing loss differs from 20%.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.20\\\\H_a:\pi\neq0.20$

The significance level is assumed to be 0.05.

The sample, of size n=1981, has 369 positive cases. Then, the proportion is:

$p=X/n=369/1981=0.186$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.2*0.8}{1981}}=\sqrt{ 0.000081 }= 0.009$

Now, we can calculate the statistic z:

$z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.186-0.20+0.5/1981}{0.009}=\dfrac{-0.014}{0.009}=-1.556$

The P-value for this two-tailed test is:

$P-value=2*P(z$

The P-value is below the significance level, so the effect is not significant. The null hypothesis failed to be rejected.

There is no enough evidence to support the claim that the proportion of US teens that have some level of hearing loss differs from 20%.

7 0

3 years ago

If a group of friends are traveling 70 km/hr for 240 minutes how far have they traveled

zysi [14]

Well first you need to change minutes to hours (240 min=4 hours, 240/60 min). Then you would just multiply 70 km by 4 hours to get 280 km.

3 0

3 years ago