(PLEASE HELP THIS IS DUE IS 20 MINUTES, THERES ALSO TWO QUESTIONS)
1.) Micah has a garden. He constructs a scale model of the garden using the scale 1 inch: 2 feet. The garden has a length of 6 feet. What is the length of the garden in Micah’s model? (1 point show your work, 1 point correct answer)
2.)The figure on the left represents a scale drawing of the figure on the right. What is the scale? (2 pts. 1pt show work, 1 pt correct answer)
THE PICTURE IS FOR THE SECOND QUESTION

(PLEASE HELP THIS IS DUE IS 20 MINUTES, THERES ALSO TWO QUESTIONS)1.) Micah Has A Garden. He Constructs

Answers

Answer 1

Answer:1. 3 inches

Step-by-step explanation:1 inch =2ft 2x3=6

Answer 2
Final answer:

To find the length of the garden in Micah's model, we need to set up a proportion using the given scale. The scale for the figure on the left to the figure on the right can be determined by comparing corresponding lengths.

Explanation:

1.) To find the length of the garden in Micah's model, we need to use the scale 1 inch: 2 feet. Since the garden has a length of 6 feet, we can set up a proportion:

1 inch / 2 feet = x inches / 6 feet

Cross-multiplying, we get 2 feet * x inches = 1 inch * 6 feet

Simplifying, we have 2x inches = 6 inches, so x = 3 inches.

Therefore, the length of the garden in Micah's model is 3 inches.

2.) The scale of the figure on the left to the figure on the right can be determined by comparing the corresponding lengths. If we measure the lengths of a certain side of the left figure and the right figure, we can find the scale. For example, if the length of a side of the left figure is 2 cm, and the corresponding side on the right figure is 4 cm, the scale is 1 cm: 2 cm.

Therefore, the scale is 1 cm: 2 cm.

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Related Questions

Enter your answer and show all the steps that you use to solve this problem in the space provided. Simplify ( 6 x − 2 ) 2 ( 0 . 5 x ) 4 . Show your work.

Answers

Answer:

[tex]\frac{9x^6}{4}-\frac{3x^5}{2}+\frac{x^4}{4}[/tex]

Step-by-step explanation:

We want to simplify:

[tex](6x-2)^2(0.5x)^4[/tex]

We expand to get:

[tex](36x^2-24x+4)*\frac{x^4}{16}[/tex]

We expand further to get:

[tex]\frac{9x^6}{4}-\frac{3x^5}{2}+\frac{x^4}{4}[/tex]

the formula v=u+at is used to find speed of an object. find v if u=6,a=2 and t=5​

Answers

Answer:

v = 16.

Step-by-step explanation:

This is one of the equations of motion  when acceleration is constant.

v = 6 + 2*5

= 16.

Answer: v=16

Step-by-step explanation:

v=6+2(5)

v=6+10

v=16

1/4 square yards of fabic divided into 8 equally sections. What is the size of each seaction in square yards?

Answers

Answer:

The size of each section  is[tex]\frac{1}{32}[/tex] square yards

Step-by-step explanation:

Given:

Length of the fabric = 1/4 square yards

To Find:

The size of each section in square yards if divided into 8 equal sections

Solution:

Let the size of each section be x

Then

[tex]x = \frac{\text{length of the fabric}}{8}[/tex]

[tex]x = \frac{\frac{1}{4}}{8}[/tex]

[tex]x = \frac{1}{4} \times \frac {1}{8}[/tex]

[tex]x = \frac{1}{32}[/tex]

Then  the length of each section will be [tex]\frac{1}{32}[/tex] square yards

The data set shown represents the total fee for miles

traveled on a toll road. Use the information to complete

the statements.

There are observed toll fee values.

It costs $ to travel 76 miles.

The predicted value for traveling 30 miles is $

Answers

Answer:

(Options 2,2,3)

There are 6 observed toll fee values.

It costs $3.40 to travel 76 miles.

The predicted value for traveling 30 miles is $1.61.

Answer:

There are 6 observed toll fee values.

It costs $3.40 to travel 76 miles.

The predicted value for traveling 30 miles is $1.61.

Step-by-step explanation:

15 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!

What is the value of the expression shown below? 3 + (2 + 8)2 ÷ 4 × 1 over 2 to the power of 4

Answers

Answer:

The given expression is

[tex]3 + (\frac{(2+8)2}{4} \times(\frac{1}{2} )^4)= \hspace{0.3cm}3 +( \frac{10 \times 2}{4}\times \frac{1}{2^4} ) \hspace{0.3cm} = \hspace{0.2cm} 3 + ( \frac{5}{16})[/tex] = 3.3125

Step-by-step explanation:

The given expression is

[tex]3 + (\frac{(2+8)2}{4} \times(\frac{1}{2} )^4)= \hspace{0.3cm}3 +( \frac{10 \times 2}{4}\times \frac{1}{2^4} ) \hspace{0.3cm} = \hspace{0.2cm} 3 + ( \frac{5}{16})[/tex] = 3.3125

Answer:6  1/8

and i took the same test

Volunteers for a political campaign gave out 21/38 of their fliers. They gave out the remaining 612 fliers in another neighborhood. What is the total number of fliers they gave out

Answers

Answer:

The total number of fliers the volunteers gave out is 1,368: 756 in the first neighborhood and 612 in the second.

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Amount of fliers the volunteers gave for a political campaign = 21/38

Remaining 612 were given out in another neighborhood

2. What is the total number of fliers they gave out?

x = Total of fliers

21x/38 = Fliers given out in the first neighborhood

612 = Fliers given out in the second neighborhood

Let's solve for x, this way:

x - 21x/38 = 612

38x - 21x = 612 * 38 (38 is the Lowest Common Denominator)

17x = 23,256

x = 23,256/17

x = 1,368

The total number of fliers the volunteers gave out is 1,368: 756 in the first neighborhood and 612 in the second.

Note: Same answer to question 14676213, answered by me yesterday.

How many cans will kyra be able to make from the sheet of metal

Answers

Kyra will make 9 cans from the sheet of metal.

Solution:

Height of the can (h) = 5 in

Radius of the can (r) = 6 in

The can is in the shape of a cylinder.

Surface area of the cylinder = [tex]2 \pi r^{2}+2 \pi r h[/tex]

Surface area of the can = [tex]2 \times3.14 \times 6^{2}+2 \times 3.14 \times 6\times 5[/tex]

                                       [tex]$=226.08+ 188.57[/tex]

                                       [tex]=414.65[/tex]

Surface area of the can = 414. 65 in²

Area of sheet of metal = 3750 in²

To find how many cans able to make:

[tex]$\text { Number of cans} =\frac{\text { Area of sheet metal }}{\text { Surface area of the can }}[/tex]

                         [tex]$=\frac{3750}{414.65}[/tex]

                         = 9.04

Number of cans = 9

Hence Kyra will make 9 cans from the sheet of metal.

Write a cosine function for the graph.


a.
y= 4 cos 2theta
c.
y= -4 cos 2theta
b.
y= 4 cos theta/2
d.
y= -4 cos theta/2

Answers

Answer:

Correct answer: y= 4 cos 2theta

Step-by-step explanation:

The Cosine Function

The general form of the cosine is

[tex]Y=A.cos(w\theta+B)[/tex]

where A is the amplitude, w is the angular frequency and B is the phase shift

The amplitude is the positive top value of the sinusoid or the most negative value. Since the sinusoid goes from -4 to 4, the amplitude is 4, thus

[tex]Y=4cos(w\theta+B)[/tex]

To find B and w, we use two points from the graph (0,4) and [tex](\pi/4,0)[/tex]:

[tex]4=4cos(w\times0+B)[/tex]

Simplifying

[tex]1=cosB[/tex]

Thus B=0

Now for the second point

[tex]0=4cos(w\times \pi/4)[/tex]

Or equivalently

[tex]\displaystyle \frac{\pi w}{4}=\frac{\pi}{2}[/tex]

Thus

w=2

Then, the cosine function is

[tex]Y=4cos2\theta[/tex]

Correct answer: y= 4 cos 2theta

The table below represents Bree's trip from her home to the library and back. On her way to the library, she travels at 6 miles per hour. On her way home, she travels at 12 miles per hour. The total travel time is 2 hours. Which equation can be used to find the distance in miles from Bree's house to the library?​

Answers

The distance in miles from the house to the library is 8 miles.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Time to the library from home is d/6 hours

The time spend to reach home from the library is d/12 hours

Hence, the equation is;

d/6 +d/12 = 2 hours

Solving the equation:

2d+d= 24

3d=24

d=24/3 =8

Hence, the distance from the home to the library is 8 miles.

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Advertising a music festival, Paul saw a billboard while he was driving on the highway.

What is the best way, if any, to rewrite this sentence?
A.
While he was driving on the highway advertising a music festival, Paul saw a billboard.
B.
Advertising a music festival, Paul saw a billboard driving on the highway.
C.
no change
D.
While he was driving on the highway, Paul saw a billboard advertising a music festival.

Answers

D.

Therefore it still shows order, Paul was driving and then he saw a billboard

The best way to rewrite the sentence is option D: "While he was driving on the highway, Paul saw a billboard advertising a music festival."

The original sentence is a bit awkward in its structure. Let's evaluate the options:

A. "While he was driving on the highway advertising a music festival, Paul saw a billboard."

  This option is incorrect because it suggests that Paul was the one advertising the music festival while driving, which is not the intended meaning.

B. "Advertising a music festival, Paul saw a billboard driving on the highway."

  This option is incorrect because it implies that the billboard itself was driving on the highway, which is illogical.

C. "No change"

  This option maintains the original structure of the sentence, which is awkward and does not convey the intended meaning clearly.

D. "While he was driving on the highway, Paul saw a billboard advertising a music festival."

  This option correctly places the modifier "advertising a music festival" next to "billboard," clarifying that it was the billboard, not Paul, advertising the music festival.

Which values of p are solutions to the inequality shown? Check all that apply.

|18 – 2p| > 8
–10
–5
0
5
10
15

Answers

Final answer:

To find the values of p that satisfy |18 - 2p| > 8, we solve two separate inequalities, leading to the solutions p < 5 and p > 13. Hence, among the options provided, -10, -5, and 15 are the correct solutions.

Explanation:

To solve the inequality |18 – 2p| > 8, we need to consider two cases because the absolute value measures distance from zero on a number line, either in the positive or negative direction.

Case 1: 18 - 2p > 8

First, we solve the inequality when the expression inside the absolute value is positive:

18 - 2p > 8-2p > -10p < 5

Case 2: 18 - 2p < -8

Next, we solve the inequality when the expression inside the absolute value is negative:

18 - 2p < -8-2p < -26p > 13

Combining the solutions from both cases, the values of p that satisfy the original inequality are p < 5 and p > 13. Among the given options, -10, -5, and 15 are the values that are solutions to the inequality.

Final answer:

The values of p that satisfy the inequality |18 - 2p| > 8 are p < 5 and p > 13; therefore, from the given options, -10 and -5 are the correct solutions.

Explanation:

The student needs to determine which values of p satisfy the inequality |18 – 2p| > 8. To solve this, we consider two separate cases because the absolute value function defines a piecewise function. The two cases are when the expression inside the absolute value is positive and when it is negative.

For the first case (18 - 2p > 0), we solve 18 - 2p > 8, which simplifies to -2p > -10, and upon dividing by -2 and flipping the inequality sign, we get p < 5. For the second case (18 - 2p < 0), we solve -(18 - 2p) > 8, which simplifies to -18 + 2p > 8, leading to 2p > 26, and upon dividing by 2, we get p > 13.

Therefore, the solution to the original inequality consists of all the values p < 5 and p > 13. Checking the provided options against these conditions, only -10 and -5 fall within p < 5, so they are the solutions to the inequality.

write the inverse of the statement below. if you are over 18 then you can vote​

Answers

Answer:

whats the statement

Step-by-step explanation:

Final answer:

The inverse statement is 'If you cannot vote, then you are not over 18,' but practical exceptions exist. The 26th Amendment ensures those over 18 have the right to vote, illustrating the importance of voting as a democratic right. Encouraging voter registration and participation among eligible citizens is crucial for maintaining a vibrant democracy.

Explanation:

The inverse of the statement 'If you are over 18 then you can vote' would logically be 'If you cannot vote, then you are not over 18'. However, this inversion doesn't always hold true in practice due to various voting laws and conditions, such as registration requirements and citizenship. The right to vote is a fundamental aspect of democracy, emphasized by constitutional amendments and various voting rights acts that seek to protect this privilege. For instance, the 26th Amendment to the U.S. Constitution, ratified on March 23, 1971, prohibits the denial of the right to vote for U.S. citizens eighteen years of age or older based on age.

To encourage political participation, it is vital for eligible citizens to register to vote and exercise their right. This act of voting allows individuals to have a say in how their government is run and who represents their interests. Discussions about lowering the voting age further, to include 16 and 17-year-olds, in local, state, or national elections have sparked debates about civic engagement and the readiness of younger citizens to participate in the electoral process.

Which could be the other dimension of the second photograph?

Answers

Answer:

15 inches

Step-by-step explanation:

Since the rectangles are similar then the ratios of corresponding sides are equal.

let x be the other dimension in the second photograph, then

[tex]\frac{4}{10}[/tex] = [tex]\frac{6}{x}[/tex] ( cross- multiply )

4x = 60 ( divide both sides by 4 )

x = 15

Thus the other dimension in the second photograph is 15 inches.

7h - 5(3h - 8) = -72

Answers

Answer:

h = 14

Step-by-step explanation:

7h - 5 (3h - 8) = -72

7h - 15h + 40 = -72

-8h + 40 = -72

-8h = -112

h = 14

Answer:

14

Step-by-step explanation:

7h-5(3h-8)=-72

7h-15h+40=-72

-8h+40=-72

-8h=-72-40

-8h=-112

8h=112

h=112/8

h=14

the jellybean jar has a radius of 4.8 cm and a height of 11.8 cm. what would be a reasonable lower limit for the number of jelly beans in the jar

Answers

Answer:

           [tex]\large\boxed{\large\boxed{100}}[/tex]

Explanation:

This question comes with four answer choices:

10,000100,0001001

You just need to find a rough estimate of the volume of the jar and the volume of one jelly bean. This is called magnitude order.

The jellybean jar is cylindrical, Thus, its volume is [tex]\pi \times radius^2\times height[/tex]

To find the order of magnitude, you just use the numbers rounded to one signficant figure: round π to 3, the radius to 5, cm, and the height to 10:

            [tex]Volume\approx 3cm\times (5cm)^2\times10cm=750cm^3\approx1,000cm^3[/tex]

The order of magnitude for the radius of a jellybean is 1 cm. And the order of magnitude of the volume of a sphere with a radius of 1 cm is the cube of the diameter (2cm):

             [tex](2cm)^3=8cm^3\approx10cm^3[/tex]

Hence, a reasonable lower limit for the number of jellybeans in the jar is:

                     [tex]1,000cm^3/10cm^3=100[/tex]

Final answer:

To find a reasonable lower limit for the number of jelly beans in a jar with a radius of 4.8 cm and height of 11.8 cm, you can calculate the volume of the jar to be approximately 272 cm^3. Assuming the volume of a jelly bean to be approximately 1 cm^3, you can estimate the jar might hold at least 272 jelly beans.

Explanation:

To calculate a reasonable lower limit for the number of jelly beans in the jar, a good starting point could be to calculate the volume of the jar and then consider the volume of a single jelly bean. Let's assume a jelly bean has an approximate volume of 1 cm^3 (though they can be bigger or smaller).

Given that the jar is cylindrical, we can calculate its volume using the formula for the volume of a cylinder: πr^2h, where r is the radius and h is the height. Here, radius = 4.8 cm and height = 11.8 cm.

Applying the values, we have: volume = π(4.8)^2 *11.8 = ~271.64 cm^3.

Dividing this volume by the volume of a single jelly bean gives us a rough estimate of the number of jelly beans that can fit in the jar. So, 271.64 cm^3 /1 cm^3 = 271.64, so roughly 272 jelly beans could be a reasonable lower limit, but you might be able to fit more depending on their actual size and how tightly they can pack together.

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The Adams family has 10 children. The ratio of boys to girls in the Adams family is 1:1. How many girls are in the Adams family?

Answers

Answer:5

Step-by-step explanation:

Final answer:

In the Adams family with 10 children and a boy to girl ratio of 1:1, there are 5 girls.

Explanation:

The question asked is about the number of girls in the Adams family which has a total of 10 children and the ratio of boys to girls is given as 1:1. When a ratio is 1:1, that means there is an equal number of each. So in the case of the Adams family, there are equal numbers of boys and girls.

To find the number of girls, we simply divide the total number of children by 2. Therefore, the number of girls in the Adams family is 10 ÷ 2 = 5. So, there are 5 girls in the Adams family.

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The total amount of money (in cents) of x dimes and (x+6) nickels

Answers

Answer:

60 cents

Step-by-step explanation:

10x + 5(x+6)

15x = 30

x = 2

plug this back in the equation

20 + (5 x 8) = 60

A store makes a profit of $15 on a wallet, after a mark up of 60%, what is the selling priceof the wallet?

Answers

Final answer:

To find the selling price of the wallet after a 60% markup and a profit of $15, we need to calculate the original price of the wallet and add the profit to it. The original price of the wallet is $25 and the selling price is $40.

Explanation:

To find the selling price of the wallet, we need to first find the original price of the wallet before the markup. Let's call the original price 'x'. Given that the store makes a profit of $15 on a wallet after a markup of 60%, we can write the equation:

x + 0.6x = x + $15

Simplifying the equation, we get:

1.6x = x + $15

0.6x = $15

x = $15 / 0.6

So, the original price of the wallet is $25.

The selling price of the wallet is the original price plus the profit, which is $25 + $15 = $40.

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2xp + 3y = 10
Solve for x

Answers

Answer:

x=5p-3/2py

Step-by-step explanation:

Im not entirely sure on this answer.

Your goal is to isolate x. So first subtract 3y on both sides resulting in 2xp=10-3y. Then u divide each side by 2p to get x by itself to get x=5p-3/2py.

Where Is The Blue Dot On The Number Line?​

Answers

Answer:

-2.1

Step-by-step explanation:

each line represents another 0.1, whether adding or subtracting.

after -22. there is one more tick mark, meaning it is -2.1

Answer:-2.1

Step-by-step explanation:

Each middle line is .1 and it is 1 under -2 so -2.1

120% of x is equal to 78
Write an equation that shows the relationship of 120%, x, and 78

Answers

Answer:

[tex]\frac{120}{100}\times x=78[/tex] or [tex]12x=780[/tex]

Step-by-step explanation:

Given:

120% of x is equal to 78

We need to write an equation that shows the relationship of 120%, x, and 78

Solution:

We can write the 120% of x as:

120% of x

Substitute [tex]\frac{120}{100}[/tex] in the place of 120%.

[tex]\frac{120}{100}\times x[/tex]

So, we write the equation as:

[tex]\frac{120}{100}\times x=78[/tex]

120 and 100 divided by 10.

[tex]\frac{12}{10}x=78[/tex]

Applying cross multiplication rule.

[tex]12x=780[/tex]

Therefore, equation shows the relationship of 120%, x, and 78.

[tex]\frac{120}{100}\times x=78[/tex] or [tex]12x=780[/tex]

Answer:

brainliest plsssssss

Step-by-step explanation:

answer is in the img below...

hope it helps you!!!!


What is the area of a regular hexagon with a side length of 5in and an apothem of 4.33in?

Answers

Answer:

64.95

Hope this helps :-)

please help me i’m confused

Answers

Yo sup??

SA of the composite figure=SA of all the faces

=2*20*5+6*20+(6*20-6*12)+2*6*5+2*12*4+6*12+2*4*6

=200+120+120+60+96+48

=644 cm^2

Hope this helps.

5/6*2/3
9/10*5/18
4/5*3/4
2/3*5/1

Answers

To multiply fractions, you multiply numerator with numerator and denominator with denominator

In other words: a/b*c/d=(a*c)/(b*d)

So 1st one is (5*2)/(6*3) which is 10/18 or 5/9 simplified

2nd one is (9*5)/(10*18) which is 45/180 or 1/4 simplified

3rd one is (4*3)/(5*4) which is 12/20 or 3/5 simplified

4th one is (2*5)/(3*1) which is 10/3 or 3 1/3 if you want a mixed number

Hope this helped!

Answer:

Number one is 5/9

Number two is 1/4 that is the reduced fraction

Number three is 3/5 that is the reduced fraction

Number four is 3 and 1/3

Step-by-step explanation:

Due: Wednesday, February 5, 2020 at 11:59 pm
Submit A
The students at Gregori were having a vote to decide on a new color. 5/8 of the students voted for blue. 5/9
of the remaining students voted for green. 48 students voted for red. How many students voted for blue and
green?

Answers

180 students voted for blue and 60 students voted for green

Solution:

Let "x" be the total number of votes

From given,

[tex]\frac{5}{8}[/tex] of the votes were for blue

[tex]Blue\ votes = \frac{5}{8}x[/tex]

Therefore,

[tex]Remaining = 1 - \frac{5}{8}x = \frac{8x-5x}{8} = \frac{3x}{8}[/tex]

Given that,

5/9  of the remaining students voted for green

So we get,

[tex]Green\ votes = \frac{3x}{8} \times \frac{5}{9} = \frac{5x}{24}[/tex]

[tex]Green\ votes = \frac{5x}{24}[/tex]

So we have now accounted for 5/8 (blue) + 5/24 (green) of the votes

Therefore,

[tex]Remaining = 1-(\frac{5x}{8} + \frac{5x}{24}) = 1 -(\frac{15x+5x}{24})= 1 -\frac{20x}{24} = \frac{24x-20x}{24}\\\\Remaining = \frac{4x}{24}\\\\Remaining = \frac{1x}{6}[/tex]

48 students voted for red

Therefore, remaining 1/6 votes for 48

Let "x" be the total number of votes

Then we can say,

1/6 of "x" is equal to 48

[tex]\frac{1}{6} \times x = 48\\\\x = 48 \times 6\\\\x = 288[/tex]

Number of votes for Blue:

[tex]Blue\ votes = \frac{5}{8} \times x = \frac{5}{8} \times 288\\\\Blue\ votes = 180[/tex]

Number of Green votes:

[tex]Green\ votes = \frac{5}{24} \times x = \frac{5}{24} \times 288\\\\Green\ votes = 60[/tex]

Thus 180 students voted for blue and 60 students voted for green

if the quotient of 890 and 5 is decreased by 88 what is the difference​

Answers

Answer:

90

Step-by-step explanation:

890÷5=178

178-88=90

Answer:

90

Step-by-step explanation:

890/5=78

178-88=90

90 = difference

Molly makes cookies. She can make 2.5 batches in 1.75 hours. How many batches can she make per hour?

Answers

Answer:

Therefore she make 1.43 batches per hour.

Step-by-step explanation:

Given,  Molly can make 2.5 batches  in 1.75 hours.

Therefore she make [tex]=\frac{2.5}{1.75}[/tex]   batches=1.43 batches per hour.

Which mathematical statement is correct?

Answers

Answer:

B is the correct option.

Step-by-step explanation:

Place the values from the given options in equations of f(n) and g(n).

Write the answer of each of the following.

For instance, option A gives:

f(6)= 31

g(6) = 24

Option B gives:

f(7)= 63

g(10)= 36

Option C gives:

f(5)= 15

g(8)=30

Option D gives:

f(5)=15

g(5)=21

Thus option B is correct because f(7) is greater than g(10).

Answer:

B. f(7) > g(10)

Step-by-step explanation:

f(7) = 2⁶ - 1 = 63

g(10) = 3×10 + 6 =36

since 63>36 then f(7) > g(10)

:)

A recipe calls for 1/3 of a cup of milk for 10 cookies. How many cups of milk are needed to make 60 cookies?

Answers

Answer:

2 cups

Step-by-step explanation:

1/3 times 6 is 6/3, which is equal to two

Answer:

6/3 cups or simplified 2 cups

Step-by-step explanation:

If h(x) =(fog)(x) and h(x) = 3(x+2)^2, find one possibility for f(x) and g(x)​

Answers

[tex]f(x)=3x^2 \\ \\ g(x)=x+2[/tex]

Explanation:

In this case we have the composition of two function called [tex]f(x)[/tex] and [tex]g(x)[/tex] that results in another function [tex]h(x)[/tex]. So:

[tex]h(x) =(f\circ g)(x)[/tex]

Another way to write this function is:

[tex]h(x)=f(g(x)) \\ \\ So \ g(x) \ becomes \ the \ domain \ of \ f[/tex]

One possibility for [tex]f(x)[/tex] and [tex]g(x)[/tex] is:

[tex]f(x)=3x^2 \\ \\ g(x)=x+2[/tex]

Because [tex]h(x)=f(g(x))[/tex] is:

[tex]h(x)=3(x+2)^2[/tex]

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According to reports by National Public Radio, sales of products labeled Non-GMO have more than doubled over the past two years, jumping from $7 billion to $16 billion. At the same time, organic foods have also been gaining in popularity, though at a much slower rate. What do you know about GMO's? All organic foods contain GMO ingredients, as set forth in USDA guidelines. 85% of the U.S. corn is GMO; modified to be resistant to herbicides. The U.S. does not require that GMO foods be labelled as such. Example of GMO: cross-pollinating plants for a desired trait. Technology now allows us to transfer genes between organisms of different species and even kingdoms. Extensive testing has been conducted on GMO-foods to ensure that there will be no adverse allergic reactions or health risks. An off-duty, out-of-uniform police officer and his son purchased some food from a 7-eleven store and were in the parking lot when a carload of teenagers became rowdy. The officer went to speak to them and the teenagers assaulted him. The officer shouted for his son to get the 7-eleven clerk to call for help. The son entered the store, told the clerk that a police officer needed help, and instructed the clerk to call police. He returned 30 seconds later and repeated the request urging the clerk to say it was a code 13. The son claimed that the clerk laughed at him and refused to do it. The policeman sued the store. 1. The above case deals with the ____________. 2 + a/6 = -4 what is a? What member of the Bourbon Triumvirate is being described here?A)John B. GordonB)Henry W. GradyC)Joseph E. BrownD)Alfred H. Colquitt The Harris Company is decentralized, and divisions are considered investment centers. Harris has one division that manufactures oak dining room chairs with upholstered seat cushions. The Chair Division cuts, assembles, and finishes the oak chairs and then purchases and attaches the seat cushions. The Chair Division currently purchases the cushions for $22 from an outside vendor. The Cushion Division manufactures upholstered seat cushions that are sold to customers outside the company. The Chair Division currently sells 800 chairs per quarter, and the Cushion Division is operating at capacity, which is 800 cushions per quarter. The two divisions report the following information: Chair Division Cushion Division Sales Price per Chair $85 Sales Price per Cushion $32 Variable Cost (other than cushion) 42 Variable Cost per Cushion 13 Variable Cost (cushion) 22 Contribution Margin per Chair $21 Contribution Margin per Cushion $19 Requirements 1. Determine the total contribution margin for Harris Company for the quarter. 2. Assume the Chair Division purchases the 800 cushions needed from the Cushion Division at its current sales price. What is the total contribution margin for each division and the company? Scientists are testing the effect of different scrubber technologies on the removal of pollutants from coal power plants. The scrubbers use a slurry of limestone and water. Which of the following best describes the impact of modifying the slurry by increasing the amount of limestone? The amount of sulfur dioxide released will decrease. A The amount of ground-level ozone released will decrease. B The amount of water released will increase. C The amount of carbon monoxide released will increase. You were planning to spend Saturday working at your part-time job, but a friend asks you to go skiing.Which of the following are included in the true cost of going skiing? Check all that apply.a.The rental of any ski equipment you needb.The cost of a lift ticketc.The cost of your ski jacket you purchased last yeard,The wages you forgo by going skiing Ovulation typically produces just one egg per cycle. Why does ejaculate contain more than just one sperm? Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.StressWhich body system is responsible for sensing stress? Identify three ways the body reacts to stress. (Site 1) his geologic era is known as the age of aquatic plants and animals. a. Precambrian b. Mesozoic c. Cenozoic d. Paleozoi Which schedule of reinforcement presents the reinforcer at the end of a predetermined interval, contingent on the number of responses emitted during the interval being greater than a gradually increasing criterion based on the individual's performance in previous intervals? Fraction calculator 66 1/2 - 43= Select the correct verb form to complete each of the following sentences.Members of the committee ____ issued a mobile phone and one roll of stamps. Neither the CEO nor the CFO _____any recollection of the illegal funds transfer. Mr. Adams and his assistant______ planning to attend the annual technology showcase. The finance committee _______planning their vacations around the annual June meeting.Everything in my home office _____ to stop functioning when I need it the most. Read the passage and answer the question.It is likewise most lamentable to think, how in taking Negros out of Africa, and selling of them here, That which GOD has joined together men do boldly rend asunder [Matt. 19:6]; Men from their Country, Husbands from their Wives, Parents from their Children. How horrible is the Uncleanness, Mortality, if not Murder, that the Ships are guilty of that bring great Crouds of these miserable Men, and Women. Methinks, when we are bemoaning the barbarous Usage of our Friends and kinsfolk in Africa: it might not be unseasonable to enquire whether we are not culpable in forcing the Africans to become Slaves amongst our selves. And it may be a question whether all the Benefit received by Negro Slaves, will balance the . . . cash laid out upon them; and for the Redemption of our own enslaved Friends out of Africa. Besides all the Persons and Estates that have perished there.How does Sewall appeal to Christians in this excerpt? Briefly explain your answer. (100 words) What is the significance of the fact that there are air molecules in a medium? completa:1. un numero real es--------------------- si se puede escribir como la razon (cociente) [tex]\frac{a}{b}[/tex] de dos numeros enteros , donde b [tex]\neq[/tex] 0. A system of government in which two or more government exercise power over the same people in the same territory called a unitary system of government true or false the measure of C if a=6 and b=9.[tex]3 \sqrt{5} [/tex][tex]9 \sqrt{5} [/tex][tex]3 \sqrt{13} [/tex][tex]5 \sqrt{3} [/tex] Neostigmine is an indirect-acting anticholinesterase drug that is used to treat urinary retention by: Multiple Choice1. increasing the release of the antidiuretic hormone.2. stimulating the hypothalamic thirst centers.3. inhibiting the release of the antidiuretic hormone.4. stimulating bladder contractions. what is the molar mass of hydrogen dioxide? Steam Workshop Downloader