Let f(x) = x2 and g(x) = x -4. Find (fog)(-1).

Answers

Answer 1

(f  o g)(x) = f (g (x)) = f (x - 4) = (x - 4)²

→   (f  o g)(-1) = (-1 - 4)² = (-5)² = 25


Related Questions

constant proportanalities in the equation y=rx 15,5 25,8 1/3 33,11

Answers

the constant of proportionality (r) in the equation y = rx is 1/3

what is 6,383 in expended form?

Answers

Answer:

expanded notation form:

 6,383 =

 6,000  

+ 300  

+ 80  

+ 3  

expanded factors form:

   6,383 =

 6 × 1,000  

+ 3 × 100  

+ 8 × 10  

+ 3 × 1  

expanded exponential form:

 6,383 =

6 × 103

+ 3 × 102

+ 8 × 101

+ 3 × 100

Step-by-step explanation:

i wasn't entirely sure what you needed but i hope this helps :) have a great day !!

Someone was interested in determining if there is a difference in the proportion of US adults that working hard was the most important thing for a child to learn in 2012 and 2018. They found data on this in the General Social Survey. In 2018, out of 1542 respondents, 415 said it was the most important. In 2012, out of 1323 respondents, 326 said it was the most important. Find the margin of error with 95% confidence.

Answers

Answer:

0.01521

Step-by-step explanation:

The Margin of Error for Difference in Proportions is given as:

z × √p1 × (1 - p1)/n1 - p2 × (1 - p2)/n2

z = z score for 95% confidence interval

= 1.96

In 2018, out of 1542 respondents, 415 said it was the most important.

p1 = x1/n1

x1= 326 n1 = 1323

p1 = 326/1323

0.246409675

Approximately = 0.246

In 2012, out of 1323 respondents, 326 said it was the most important.

p2 = x2/n2

x2 = 415, n2 = 1542

p2= 415/1942

p2 = 0.2136972194

Approximately = 0.214

Margin of Error =

1.96 × √0.246× (1 - 0.246)/1323- 0.214 × (1 - 0.214)/1542

1.96 × √0.0005699169 - 0.0005097276

1.96 × √(0.0000601893)

1.96 × 0.0077581763

= 0.0152060256

Approximately = 0.01521

Therefore, Margin of Error = 0.01521

You can use the formula for margin of error for difference in proportion to find the margin of error with 95% confidence.

The margin of error with 95% confidence for the given data is given by

MOE = 0.32

How to calculate margin of error for difference in proportion to find the margin of error ?

Suppose we've two samples with sample sizes [tex]n_1[/tex] and [tex]n_2[/tex] respectively. Let the interested quantities found out in those samples out of their sample sizes are  [tex]x_1[/tex] and [tex]x_2[/tex] respectively. Then we have the margin of error for difference in proportion to find the margin of error as:

[tex]MOE = Z_{\alpha/2} \times \sqrt{\dfrac{p_1(1-p_1)}{n_1} + \dfrac{p_2(1-p_2)}{n_2}}[/tex]

where we have:

[tex]p_1 = \dfrac{x_1}{n_1}\\\\p_2 = \dfrac{x_2}{n_2}[/tex]

and

[tex]\alpha = \text{Level of significance}[/tex]

Using the given data to get the margin of error

[tex]Year = 2015\\n_1 = 1542\\x_1 = 415\\\\Year = 2012\\n_2 = 1323\\x_2 = 326\\\\\alpha = 100-95\% = 1-0.95 = 0.05[/tex]

For 95% confidence, we have Z score as 1.96

The proportions are calculated as:

[tex]p_1 = \dfrac{415}{1542} = 0.269\\\\p_2 = \dfrac{326}{1323} = 0.246[/tex]

Thus, margin of error is calculated as

[tex]MOE = 1.96 \times \sqrt{\dfrac{0.269 \times 0.731}{1542} + \dfrac{0.246 \times 0.754}{1323}} = 1.96 \times \sqrt{0.000127 + 0.00014}\\\\MOE = 1.96 \times 0.01634 = 0.032[/tex]

The margin of error with 95% confidence for the given data is given by

MOE = 0.32

Learn more about margin of error here:

https://brainly.com/question/4757147

Triangle JLM is shown below.
M
17 in.
25 in.
J
8 in. K
20 in.
What is the area of triangle JLM?
O A 350 in.2
O B. 240 in.
OC. 300 in.2
O D. 210 in.2

Answers

Answer:

D) 210 in²

Step-by-step explanation:

Solve for KM.

8²+b²=17²

64+b²=289

b²=289-64

b²=225

b=√225

b=15 (Which is the length of KM, the height of the triangle)

Area=1/2bh

A=1/2(28)(15)

A=210

guys why does my bottle thats called shampoo taste like soap and its fluffy it says cucumber edition i wanted to taste it but it tastes nothing like cucumber and it makes me gassy please help and explain how to stop this

Answers

Answer:

I'm pretty sure you can stop it by not drinking shampoo.

Step-by-step explanation:

shampoo is bad for you.

Answer:

Stop eating the shampoo

Step-by-step explanation:

If, you don't eat the cucumber shampoo it will not make you gassy.

Find the reciprocal of the number 2/7

Answers

Answer:

7/2

Step-by-step explanation:

The reciprocal is basically just flipping the fraction upside down. Reciprocal is also called inverse.

HELP PLEASE WILL GIVE BRAINLIST

Answers

You multiply the radius by 2 and then multiply that by pi(3.14)so your answer would be 31.4
The answer is 31.4 hope it helps!!!

Which triangle side lengths form a right triangle? Choose all that apply.
5,6,7
6, 8, 14
8,15, 17
10,12,15
15, 20, 25
16, 18, 20

Answers

Answer:

8.,15,17

Step-by-step explanation:

use pythagoras theorem formula

What is 13/20 as a part to part ratio

Answers

65%

Convert fraction (ratio) 13 / 20 Answer: 65%

On a scale drawing, the scale is 12 inch = 1 foot. What are the dimensions on the scale drawing for a room that is 22 feet by 17 feet?

Answers

Answer:

......

Step-by-step explanation:

Answer

11 inches by 8.5 inches

Step-by-step explanation:

We can use proportions to solve this problem, drawing on top, real life on bottom

1/2 inch           x inches

-------------- = ----------

1 ft                  22ft

Using cross products

1/2 * 22 = x*1

11  =x

11 inches

1/2 inch           x inches

-------------- = ----------

1 ft                  17ft

Using cross products

1/2 * 17 = x*1

8.5 =x

What are the truck ID’s of trucks that have carried small shipments. Small shipments are defined as those that weigh less than 800 pounds? (HInt: Avoid duplcates.)

Answers

Table for the question is attached in the picture below :

Answer:

SELECT distinct(TRUCK_ID), WEIGHT from SHIPMENT where WEIGHT < 800 ;

Step-by-step explanation:

The Structured query language (SQL) defined above, returns only the TRUCK_ID and Weight column from the shipment table as they are the only two columns listed after the select keyword. The condition is added using the WHERE keyword on the weight table, this filters the result returned to include only rows where the weight value is less than 800. The distinct keyword used alongside the TRUCK_ID column ensures that a certian TRUCK_ID value isn't returned more than once (Hence, it is used to avoid duplicates).

Can somebody help me?????

Answers

Answer:

1/2 = 3/6

Step-by-step explanation:

.................

One yard is 36 inches. how many inches is 2/3 of a yard?

Answers

Answer:

24

Step-by-step explanation:

Ms. Gallegos burns 236 calories riding her bike each hour. She wants to burn more than 590 calories riding her bike at the same rate. Which inequality represents all possible values for t, the number of hours Ms. Gallegos must ride her bike to burn more than 590 calories?

Answers

Answer:

T = 2.5

Step-by-step explanation:

Hope this helps!

Answer:

T >2.5

Step-by-step explanation:

EASY TRUE OR FALSE QUESTION

Answers

Answer:

Its false

Step-by-step explanation:

It cant increase

Answer:

it issss false

Follow this link to view Juan’s work. Critique Juan’s work by justifying correct solutions and by explaining any errors he made. For any errors made, provide and explain a correct response. Be sure to explain each key aspect of the graph.

Answers

Hey I’m sorry I don’t actually know the answer to this I’m working on it rn but if u did find out the answer to this do u mind helping me. I’m sorry and thank uu. Like if there was a sample answer to that can u reply to me with it. I’m really struggling here any help would be greatly appreciated

232. Сколько решений имеет уравнение | х + 3 | -один?

Answers

Answer: уравнение имеет 2 решения:

              x₁ = - 4;    x₂ = - 2.

Step-by-step explanation:

Ix + 3I = 1

1) x + 3 = 1

  x + 3 - 3 = 1 - 3

  x = -2

2) - (x + 3) = 1

   x + 3 = - 1

   x + 3 - 3 = - 1 - 3

   x = - 4

Yesterday, there were 80 problems assigned for homework. Harry did 20% of them correctly. How many problems did Harry get right?

Answers

Answer:

16 i think

Step-by-step explanation:

Answer:16

...........................

The sum of eight times a number and negative exceeds twelve.

Answers

Answer:8x + -4 > 12

8x > 16

x > 2

Step-by-step explanation:

please help will mark brainllyist !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11

Answers

Answer:

448 units^2

Step-by-step explanation:

You need to find the area of each of the faces

1/2 * (7*24) = 84

1/2 * (7*24) = 84

5 * 25 = 125

5 * 24 = 120

5 * 7 = 35

Now add all these

448

THIS ASSIGNMENT IS DUE IN 5 MINUTES...IF ITS CORRECT ILL MARK IT AS BRAINIEST, thanks in advance❤️! (this is my second time posting this, the answer isn’t 80...if you don’t know how to do this please don’t try answering the question) Find the area of the regular polygon given below

Answers

Answer:

400

Step-by-step explanation:

Answer:

11,011.055

Step-by-step explanation:

Brainliest :)
(Score for Question 3: ___ of 5 points)

(a) Order the popularity of the choices from greatest to least.
(b) It was estimated that 280 people were going to vote. If this was true, how many people would have voted for Goron? Show your work.
(c) 40 people voted for “Other.” Was the estimate of total voters from Part (b) accurate? Explain.
this is for k12 so click off if u dont have an answer or ill report

Answers

Goron should get 98 votes

 

The question breaks down to taking 35% of 280.  

Votes = 35/100 * 280 = people who will vote for Goron

Votes = 9800 / 100 = people who will vote for Goron.

Votes = 98

If 7x +2 = 7(x+2)
How many solutions does this equation
have?
-sixteen
-one
-infinite
-three
-five
-none

Answers

Answer:

S.tep-by-step explanation:

If Tom travels 680 miles in 8 hours, how far does he travel per hour?​

Answers

Answer:

85 mph

Step-by-step explanation:

It is because 680 / 8 = 85

Answer: 85 miles an hour

Step-by-step explanation:

divide distance by time

680 / 8 = 85 miles per hour

:)

. The scatterplot shows the time spent playing a video game and the number of points scored by several students. Video Game 1,350 1,200 1,050 900 Number of Points Scored 750 600 450 300 150 0 5 10 15 20 25 30 35 40 45 Time (minutes) Based on the scatterplot, which is the best prediction of the number of points scored by a student who spends 45 minutes playing the video game?​

Answers

Answer:

c is the answer

Step-by-step explanation:

is the not maybe

00:00
A fruit farm has a total of 386 apple trees, peach trees, and pear trees.
There are 156 apple trees and 126 peach trees. How many pear trees are there?
Enter your answer in the box.
pear trees

Answers

Answer:

A s h i t load

Step-by-step explanation:

Answer:

104

Step-by-step explanation:

156+126=282 & 386-282=104 so,the answer is 104

A cyclist is riding a bicycle whose wheels have a diameter of 2.1 feet. Suppose the wheels turn at a rate of 260 revolutions per minute. (a) Find the angular speed of the wheels in radians per minute. (b) Find the speed of the cyclist in feet per minute. Do not round any intermediate computations, and round your answer to the nearest whole number.

Answers

Answer:

a.1633rad/min

b.1715feet/min

Step-by-step explanation:

We are given that

Diameter of wheel, d=2.1 feet

Radius of wheel, r=[tex]\frac{d}{2}=\frac{2.1}{2}[/tex]feet

Rate=260 rev/min

a. We have to find the angular speed of the wheel in rad/min

1 rev=[tex]2\pi[/tex]radian

Where [tex]\pi=3.14[/tex]

Using the value

Angular speed=[tex]260\times 2\times 3.14/min[/tex]

Angular speed,[tex]\omega=1633rad/min[/tex]

(b)

Speed=[tex]r\omega[/tex]

Using the formula

Speed of  the cyclist=[tex]\frac{2.1}{2}\times 1633[/tex]feet/min

Speed of  the cyclist=1714.65[tex]\approx 1715[/tex]feet/min

Simplify
-3(2.5-k)+0.5(7+8k)

Answers

Answer:

-7•5+3k+3•5+4k

-7•5+3•5+4k+3k

-4+7k

Please help ASAP I need to solve AD

Answers

Answer:

6

Step-by-step explanation:

All sides on a rhombus are equal

What expression is equivalent to 4/5 X +11/5

Answers

Answer:

8/10 X 22/10

Step-by-step explanation:

When you multiply every number by 2, then the expression will still be equivalent.

Answer:

(4x + 11)/5

Step-by-step explanation:

4/5x + 11/5 = 4x/5 + 11/5 = (4x + 11)/5

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