Let ​g(x)=3x−1 and ​f(x)=x2+1. Find ​(g◦​f)(−5​).
​(g◦​f)(−5​)=nothing ​(Simplify your​ answer.)

Let G(x)=3x1 And F(x)=x2+1. Find (gf)(5).(gf)(5)=nothing (Simplify Your Answer.)

Answers

Answer 1

Answer:

-384

Step-by-step explanation:

Solve for each function first.

g(-5) = 3(-5) - 1

g(-5) = -16

f(-5) = -5^2 + 1

f(-5) = -24

Multiply.

(fg)(-5) = (-16 x -24)

(fg)(-5) = -384

Not entirely sure if this is correct but this seemed the most obvious way to do it so I did it. Let me know if I'm wrong.


Related Questions

The original price of a book is $25. The book is on sale for 30% off.
What percent of the price are we paying? What is the price you will pay
for the book?

Answers

Answer:

You will pay 70% of the original price. You will pay $17.50

Step-by-step explanation:

100% is full price because 100%=1 (one whole).

100% - 30% = 70%

70% = 0.7

0.7 multiplied by $25 is $17.50

40 pts please help!
Which of the following is a tangent line to circle O?
a. line EF
b. segment OD
c. segment BC
d. line AG

Answers

Answer:

d.

Step-by-step explanation:

line AG is the answer because a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior.

Answer:

d. line AG

Step-by-step explanation:

A tangent is a line that just 'touches' the curve of a circle, and doesn't intersect it.

We can see that since AG touches the circle, and since the other lines all intersect the circle, the tangent here is AG

Emilio’s truck has a gas tank that holds 25 gallons of gas and can travel 400 miles without refilling the gas tank. The graph below shows the amount of gas remaining in Emilio’s truck after he has driven a certain number of miles. Which of the following best describes a reasonable range for this situation

Answers

Answer:

[tex]Range: 0 \le y \le 400[/tex]

Step-by-step explanation:

Given

[tex]Gas = 25 gallons[/tex]

[tex]Distance = 400miles[/tex] --- max

Required

The range of the function

The graph is not given; however, the question can be answered without the graph.

From the question, we understand that the truck can hold up to 25 gallons.

This represents the domain (i.e. from 0 to 25)

When the truck is empty (i.e. no gas in it), the truck cannot move any distance (0 miles).

When the truck is filled up (i.e. 25 gallon), the truck can move up to 400 miles.

This represents the range (i.e. from 0 to 400 miles)

Hence, the range is:

[tex]Range: 0 \le y \le 400[/tex]

Mr. Newman owns a sporting good store. He got a shipment of 49 baseball bats. 21 of them were wooden bats, and the rest were aluminum. What fraction of the bats were wooden?
Fill in the answer in simplest form.

Answers

Answer:

3/7

Step-by-step explanation:

Find the amount due if $200 is borrowed for 10 months at an APR of 16% simple interest
Amount =?

Answers

Answer

$266.66

Step-by-step explanation:

We have here ,

Principal = $200 Rate = 16% Time = 10 months = 10/12 yrs.

We can use the formula of SI to calculate the SI . After adding it to principal we will get the amount .

⇒ SI = P × R × T / 100

⇒ SI = $ 200 × 16 × 10 / 12 × 100

SI = $ 26.66

Now Calculate amount as ,

⇒ A = SI + P

⇒ A = $ 200 + $ 26.66

A = $ 226.66

A fitness center is interested in finding a 90% confidence interval for the mean number of days per week that Americans who are members of a fitness club go to their fitness center. Records of 219 members were looked at and their mean number of visits per week was 2.4 and the standard deviation was 2.9. Round answers to 3 decimal places where possible.
A. The sampling distribution follows a _______ distribution.
B. With 90% confidence the population mean number of visits per week is between _____ and ______ visits.
C. If many groups of 220 randomly selected members are studied, then a different confidence interval would be produced from each group. About ________ percent of these confidence intervals will contain the true population mean number of visits per week and about__________ percent will not contain the true population mean number of visits per week.

Answers

Answer:

A. Normal

B. Between 2.078 and 2.722 visits.

C. About 90 percent of these confidence intervals will contain the true population mean number of visits per week and about 10 percent will not contain the true population mean number of visits per week.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

Question A:

By the Central Limit Theorem, normal.

Question B:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.645\frac{2.9}{\sqrt{219}} = 0.322[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 2.4 - 0.322 = 2.078 visits

The upper end of the interval is the sample mean added to M. So it is 2.4 + 0.322 = 2.722 visits.

Between 2.078 and 2.722 visits.

Question c:

90% confidence level, so 90% will contain the true population mean, 100 - 90 = 10% wont.

About 90 percent of these confidence intervals will contain the true population mean number of visits per week and about 10 percent will not contain the true population mean number of visits per week.

How come the tutors don't work??​

Answers

Answer:

What do you mean? If you are talking about the Community not always answering Questions well that means your they don't know the right Answer

the Mods are Annoying and very skeptic of the Guidelines of Brainly.

Yuhhh please help ty :))

Answers

Answer:

20 oz.

Step-by-step explanation:

Hope this helps ! :)

Find the average of the function over the given interval. f(x) = x3 over [−1, 1]

Answers

9514 1404 393

Answer:

  0

Step-by-step explanation:

f(x) = x^3 is an odd function, so is symmetrical about the origin. Its average value on any symmetrical interval around the origin will be 0.

The average value is 0.

10. Which of these is NOT a perfect square?
a. 81
b. 100
C. X2
d. 42

Answers

Answer: 42 is not a square of a whole number

Step-by-step explanation: 81= 9², 100= 10², x²= x·x, 6²= 36 and 7²= 49


How many times greater is the value of the 9 digit in 90,523 than the 9 digit in 59,112?

Answers

Answer:

I'm pretty sure it's 10,000

A police officer claims that the proportion of drivers wearing a seat belt in a certain area is less than 40%. To test this claim, the officer collects a random sample of 80 drivers and monitors if the driver was wearing a seat belt. From this sample of 80 drivers, the police offers observes that 34 were wearing seat belts. Assume the conditions needed to conduct a one sample proportion test are satisfied. The setup for the null and alternative hypothesis is as follows: H0:p=0.40; Ha:p<0.40, which is a left-tailed test. The test statistic and p-value for this Hypothesis test are given as follows: z=0.456, p-value=0.676. Which of the following are appropriate conclusions for this hypothesis test? Select all that apply.

Answers

Answer:

Fail to reject the null because the p-value is greater than significance level (0.05). Therefore we have convincing evidence that the proportion of drivers wearing a seat belt is equal to 40%.

Step-by-step explanation:

I am assuming that the significance level is 0.05, so we would fail to reject the null, because the p-value is 0.676 which is greater than the significance level. Whenever the p-value is greater than the signifigance level we fail to reject the null.

Help please.......I’ll give u brain liest

Answers

Answer:

Step-by-step explanation:

Hope this helps

1) Determine the area of the shaded region.
14 ft
8 ft

Answers

Answer:

61.73 ft ^2

Step-by-step explanation:

area of rectangle

14x8 = 112

area of circle

π(4)(4) = 50.27

subtract

112-50.27 = 61.73

Melinda said that the fort would melt in the fourth month of the year. What month will the fort melt?

Answers: February, March, and April

Answers

Answer:

april

Step-by-step explanation:

Answer:

April is the fourth month of the year! Hope this helps.

Step-by-step explanation:

solve 6×1/5 solve the equation


Answers

Step-by-step explanation:

6/5is the answer................

Answer:

1 and 1/5

Step-by-step explanation:

6 times 1/5 is 1/5+1/5+1/5+1/5+1/5+1/5 which equals to 6/5 which also equals to 1 and 1/5

Write the explicit rule
a1=5 d=4

Answers

Let a_1 = 5

Let d = 5 = common difference

S_n = a_1 + (n - 1)d

S_n = 5 + (n - 1)4

what is the value of 5 in (and the three on the top​

Answers

Answer:

5^3 = 125

Step-by-step explanation:

5^3

5 x 5 x 5

=125

Answer:

[tex]5^{3} = 125[/tex]

Step-by-step explanation:

Mark me brainllest

Please help me! This is due tomorrow and I really need some help! Thank you.

Answers

Answer:

over 1/2 own a dog

Step-by-step explanation:

Answer:

Over 1/2 of students own a dog.

Step-by-step explanation:

Total number of students: 25 Add the students owning different types of pets

13/25 Number of students owning dogs divided by total number of students

13/26 = 1/2; therefore 13/25 > 1/2

If Jordan rode his bike for five days how much hours dose he ride it for? PLEASE COMMENT YOUR ANSWER asp

Answers

Answer: 2880 hours

Explanation: 120 days times 24 hours

Find the area of this parallelogram, top= 14 left= 11 right = 10

Answers

Answer:

140 cm^2

Step-by-step explanation:

Formula for area of a Parallelogram: base*height

14 cm * 10cm = [tex]140 cm^{2}[/tex]

Find the domain of the function in interval notation: f(x) =1/ x + 22​

Answers

That's the answer

x = - 1/22

Round to one billion place. Drop the zeros.
28,436,297,825
30,943,267,101
45,831,246,935​

Answers

Answer:

28,436,297,825

30,943,267,101

45,000,000,000

Step-by-step explanation:

ur welcome

hellllllp !!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

N is the midpoint.

Step-by-step explanation:

please help i don't understand this question

A the cost of buying the tablet

B the cost per month of internet service

C the number of months after wich the total cost is 0 dollars

D none of the above ​

Answers

Answer:

Pretty sure it would be b because it keeps scaling as the x axis continues with time

Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station. What is the Alternate hypothesis

Answers

Answer:

Alternative Hypothesis:H₁: μ ≠ 0.41

Step-by-step explanation:

Step(i):-

Given that the newscast reaches 41% of the viewing audience in the area

The mean of the Population = 0.41

Given that In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station

Given that the mean of the sample = 0.36

Step(ii):-

Null hypothesis: The sample statistic does not differ significantly from the hypothetical parameter value.

Given data

Null hypothesis: H₀ : μ = 0.41

Alternative Hypothesis: Any hypothesis which is complementary to the Null hypothesis

Alternative Hypothesis:H₁: μ ≠ 0.41

What is the result of subtracting the second equation from the first?
8x - 4y = -4
-3x + 4y = 5

Answers

Answer:

See below

Step-by-step explanation:

Given system:

8x - 4y = -4 -3x + 4y = 5

Subtracting the second equation from the first:

8x - 4y - (-3x + 4y) = -4 - 58x + 3x - 4y - 4y = -911x - 8y = -9

It ends here

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

Would be better to add the equations to eliminate y and solve the system:

8x - 4y + (-3x + 4y) = -4 + 55x = 1x = 0.2

Find y:

8*0.2 - 4y = -44y = 1.6 + 44y = 5.6y = 1.4

Solution (0.2, 1.4)

In a study of academic procrastination, the authors of a paper reported that for a sample of 451 undergraduate students at a midsize public university preparing for a final exam in an introductory psychology course, the mean time spent studying for the exam was 7.74 hours and the standard deviation of study times was 3.10 hours. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of students taking introductory psychology at this university.
(a) Construct a 95% confidence interval to estimate μ, the mean time spent studying for the final exam for students taking introductory psychology at this university. (Round your answers to three decimal places.) TWO VALUES
(b) The paper also gave the following sample statistics for the percentage of study time that occurred in the 24 hours prior to the exam.
n = 451 x = 43.78 s = 21.96
Construct a 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam. (Round your answers to three decimal places.)

Answers

Answer:

a) The 95% confidence interval to estimate μ is (7.435, 8.045) hours.

b) The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).

Step-by-step explanation:

Question a:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{3.3}{\sqrt{451}} = 0.305[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.305 = 7.435 hours

The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.305 = 8.045 hours.

The 95% confidence interval to estimate μ is (7.435, 8.045) hours.

Question b:

90% confidence interval means that [tex]Z = 1.645[/tex]

The margin of error is:

[tex]M = 1.645\frac{21.96}{\sqrt{451}} = 1.701[/tex]

43.78 - 1.701 = 41.079%

43.78 + 1.701 = 45.481%

The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).

Plz I need help with this

Answers

Answer:56

Step-by-step explanation:

An angle measures 60.2° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

the angles are 120.1 and 59.9

Step-by-step explanation:

supplementary means that the add up to be 180

I made a system of equations and to make thing faster I graphed them but if you wanted you could solve fully

x+y=180

y-60.2=x

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