A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), ratio of 2 to 3. The area of the deck is represented by the function h(x). Complete the table with the missing side lengths and areas of the deck.

A Carpenter Is Building A Rectangular Deck. The Deck Should Have A Width, F(x), To Length, G(x), Ratio

Answers

Answer 1

Answer:

1. 6

2. 6

3. 10

4. 600

Step-by-step explanation:

edg :)

Answer 2

The complete table is given below.

x          f(x)            g(x)           h(x)

 1          2                3               6

2          4                6              24

5         10               15             150

10        20              30            600

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), and a ratio of 2 to 3. The area of the deck is represented by the function h(x).

The functions are given below.

f(x) = 2x

g(x) = 3x

h(x) = f(x) × g(x) = 6x²

Complete the table with the missing side lengths and areas of the deck.

x          f(x)            g(x)           h(x)

 1          2                3               6

2          4                6              24

5         10               15             150

10        20              30            600

More about the function link is given below.

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Related Questions

Plsss help me, ASAP, Thank you

Answers

Answer:

[tex]\frac{1}{16}[/tex]  [tex]\frac{10}{9}[/tex]

Step-by-step explanation:

a reciprocal is a number that when multiplied by a given number gives 1 as  product.

16 * x = 1

x = 1/16

9/10 * x = 1

x = 10/9

16/1 is the same thing as 16. But the reciprocal of 16 is 1/16 where you flip the numerator and dominators.

Same thing with 9/10. The reciprocal of 9/10 is 10/9

Let A be the set of all lines in the plane. Define a relation R on A as follows. For every l1 and l2 in A, l1 R l2 ⇔ l1 is parallel to l2. (Assume that a line is parallel to itself). Which of the following is true for R?
A. R is reflexive.
B. R is symmetric.
C. R is transitive.
D. R is neither reflexive, symmetric, nor transitive.

Answers

Answer:

Hence, the relation R is a reflexive, symmetric and transitive relation.

Given :

A be the set of all lines in the plane and R is a relation on set A.

[tex]R=\{l_1,l_2\in A|l_1 \;\text{is parallel to}\; l_2\}[/tex]

To find :

Which type of relation R on set A.

Explanation :

A relation R on a set A is called reflexive relation if every [tex]a\in A[/tex] then [tex](a,a)\in R[/tex].

So, the relation R is a reflexive relation because a line always parallels to itself.

A relation R on a set A is called Symmetric relation if [tex](a,b)\in R[/tex] then [tex](b,a)\in R[/tex] for all [tex]a,b\in A[/tex].

So, the relation R is a symmetric relation because if a line [tex]l_1[/tex] is parallel to the line [tex]l_2[/tex] the always the line [tex]l_2[/tex] is parallel to the line [tex]l_1[/tex].

A relation R on a set A is called transitive relation if [tex](a,b)\in R[/tex] and [tex](b,c)\in R[/tex] then [tex](a,c)\in R[/tex] for all [tex]a,b,c\in A[/tex].

So, the relation R is a transitive relation because if a line [tex]l_1[/tex] s parallel to the line [tex]l_2[/tex] and the line [tex]l_2[/tex] is parallel to the line [tex]l_3[/tex] then the always line [tex]l_1[/tex] is parallel to the line [tex]l_3[/tex].

Therefore the relation R is a reflexive, symmetric and transitive relation.

Pls I need alot of help
Grace and her friends are playing a game that uses two dice. Each die is a tetrahedron –

a four‐sided shape with each side an equilateral triangle. Each side of the die contains

one of the digits 1, 2, 3, or 4.

a. Create the sample space of all possible outcomes if you were to roll the two dice

simultaneously. List the digit on the first die first and the digit on the second die

second (i.e. 1,1; 1,2; and so on.) (10 points)

b. What is the theoretical probability that the sum of the two numbers on a roll will

be five? (2 points)

c. If Grace and her friends were to roll the two dice 100 times, how many of the

100 times could they expect to roll the same number on each die? (In other

words, the outcome would be 1,1 or 2,2 or 3,3 or 4,4.) (4 points)

Answers

Answer:

Step-by-step explanation:

Very interesting problem. Be thankful it is not a six sided dice.

Part A

1  1

1  2

1  3

1  4

2  1

2  2

2  3

2  4

3  1

3  2

3  3

3  4

4  1

4  2

4  3

4 4

Part B

There are 16 possible out comes

1   4

4  1

2  3

3  2

4 out of the 16 outcomes are possible

P(5) = 4/16 = 0.25

Part C

The theoretical out come would be 4 times

4/16 = 0.25

On a hundred rolls, you would expect to get 25 sets of doubles.

Answer:

The correct answers are:

a.

1  1   1  2    1  3    1  4    2  1    2  2    2  3    2  4

3  1   3  2   3  3    3  4    4  1   4  2    4  3    4  4

b.

4 possible outcomes!

c.

25 sets!

Step-by-step explanation:

a.

Try making a probability by using the counting principle method.

1  1   1  2    1  3    1  4    2  1    2  2    2  3    2  4

3  1   3  2   3  3    3  4    4  1   4  2    4  3    4  4

These numbers are the possible outcomes. Each 2 numbers stand for 1 outcome.

b.

16 possible outcomes

1   4    4  1    2  3    3  2

4/16 possible

P(5) = 4/16 = 0.25

c.

The theoretical outcome = 4 times

4/16 = 0.25

25 sets of rolls are expected to be rolled on the same number per 100 rolls.

I hope this helps! Have a good day ;)

Please mark this as brainliest please! I would appreciate it! :)

50 POINTS PLEASE HELP
A normal work day for Carl is from 8:00 a.m. to 4:30 p.m. Carl wants to figure out the degree measure that the hour hand makes while he is at work. Carl believes that if he divides 360 by 12 and multiplies the result by 8.5 he will have the correct degrees the hour hand moves. Is Carl correct? If not, choose the appropriate explanation.
A
Yes, Carl is correct. The process he takes will give him the correct degrees the hour hand moves.

B
No, Carl is incorrect. He must take the number he ends up with and subtract it from 360.

C
No, Carl is incorrect. The hour hand will go around the clock 360 degrees.

D
No, Carl is incorrect. He must first multiply 360 by 12 and then divide by 8.5.

Answers

Answer:

The answer is B brainliest?

Step-by-step explanation:

Based on the pattern shown, what is 46?
41 = 4
42 = 16
43 - 64

Answers

Answer: 44 equals 128

Step-by-step explanation: This is because you do 16 times 4 to get 64, then you double that to 8, so you do 16 times 8 and get your answer 128

                 HOPE IM RIGHT!

The high school is 3.6 inches from the middle school on a map. Each half inch on the map represents 0.4 mile. What is the actual distance between the two schools?
2.88 miles
4.5 miles
7.2 miles
9 miles

Answers

Answer:

2.88 miles

Step-by-step explanation:

because 3.6/.5 = 7.2

then 7.2 × .4 = 2.88

NO LINKS

Which equation is the equation of the least squares regression line that most closely matches the data set?

Answers

Answer:

y = 3.5X - 6921.2

Step-by-step explanation:

Given the data :

X :

1990

1992

1994

1996

1996

Y :

45

51

57

61

75

Using an online regression calculator ; the regression model obtained is : y = 3.5X - 6921.2

Where ; slope = 3.5 ; intercept = - 6921.2

A coin collection consists of nickels, dimes and quarters, and has a total value of $3.30. There are three times as many nickels as quarters. How many coins of each kind are there if the numbers of dimes is three less than the average of the number of nickels and number of quarters

Answers

Answer:

18 nickels, 9 dimes, and 6 quarters.

Step-by-step explanation:

Answer:

18 nickels, 9 dimes, and 6 quarters

Step-by-step explanation:

Can someone help me really please

Answers

Answer:

Step-by-step explanation:

question

Answer:

the tank at the pet store

Step-by-step explanation:

5x4x2 = 40

35<40

If no one minds I need help!

Answers

Answer:

A and C

Step-by-step explanation:

Put the points on a graph and determine if they are perpendicular.

They are, in fact, perpendicular.

I believe it’s A and C (sorry if you get it wrong)

which quadrant would contain the point -3, 3
please help!
thankyou!​

Answers

Answer:

Quadrant 2

Step-by-step explanation:

(-3,3) when plotted on a graph fits into quadrant 2!

The answer is quadrant 2.

Find the value of k, such that x² - 4x2 + kx + 4 will leave a remainder of 4 when divided by (x - 1).
A -3
B 8.4
C 0,3
D -4
Can someone help me with this one ASAP

Answers

Answer:

k=4

Explanation:f(x)=x3+4x2−kx+1By the remainder theorem, the remainder when dividing a polynomial f(x)by (x−a)

is f(a)In our case, we have a=−1 and we need:0=f(−1)=(−1)3+4(−1)2−k(−1)+10=f(−1)=−1+4+k+10=f(−1)=k+4

Hence k=−4

might have gotten it wrong sorry if so.

What is equavalent 3 11/40.
The best estimate close to this answer 3 11/40
A. 2 1/2
B. 3 Plzz help me
C. 3 1/2
D. 4

Answers

Answer:

C. 3 1/2

Step-by-step explanation:

Estimate the fraction part of the number.

11/40 > 10/40 = 1/4

We can estimate the fraction part as 1/2 since its greater than 1/4.

The number becomes 3 1/2.

Best choice is C

Answer:

11/40>10/40=1/4 is a part of ½

so

best estimate is 3 ½.

PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS HELP

Answers

Answer:

2.26

Step-by-step explanation:

The volume of a cylinder is equal to pi*r^2*h

3.14*r^2*25=400

r^2=5.09554140127

r~2.26

Answer:

Step-by-step explanation:

r= roughly 2.26

r= square root v/pi x height

finding the slope to points ​

Answers

Answer: there’s no slope?

Step-by-step explanation: confused

Answer:ya where the slope at

Step-by-step explanation:

Jennifer has a collection of 1,600 coins. Of the coins, 40% are dated before 1940, 35% are dated from 1940 to 1980, and the rest are dated after 1980. How many coins in Jennifer’s collection are dated after 1980?

Answers

Answer:

Step-by-step explanation:

 40% + 35 % = 80 %    so 20% are dated after 1980

20% is .20 in decimal form

.20 (1600) = 320 coins dated after 1980

 

PLEAE HELP ME I REALLY NEED IT!!!!!!!!!
Select the correct answer.
Which phrase best describes taxable income?


Answers

Answer:

The correct answer is D.

Step-by-step explanation:

Taxable income is the income that is reached by taxes established by the government, that is, those sums of money from individuals that the government levies with a tax contribution. The so-called deductions are deducted from these sums, with which the apportionment between taxable income and deductions results in the final amount of taxes to be paid.

7 has been subtracted from the product of x and 7=

Answers

Answer:

7x - 7

Step-by-step explanation:

Product of x and 7 = 7x

7 minus 7x

7x - 7

Hence the expression is :

7x - 7

Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.
The sum of 7 and the cube of a number.
The sum of 7 and the cube of a number.

Answers

Answer:

Step-by-step explanation:

7 + x³ is the sum of 7 and the cube of a number x

HELP PLEASE!!
Explain the error in the following exercise;
then correct it.

Answers

Answer:

2/1x7/6=14/6=7/3

Step-by-step explanation:

Multiply the 2 by the 7 but Not the 6. So the second number is 14/6, not 14/12.

‘Then simplify 14/6 to 7/3

A sporting goods store has shoes on sale for 20% off the regular price. Brantley finds a pair of shoes with a regular price of $35. He wants to know the sale price of the shoes. 0) Drag the given information into the table to represent the problem. Regular Price % $ Sale Price Discount % % S $ $35 $ ? 20%​

Answers

Answer:

$28

Step-by-step explanation:

Given that :

Regular price = $35

Discount = 20%

Sale price = Regular price - Discount on sale

Discount on sale = 20% * regular price

Discount on sale = 0.2 * $35 = $7

Sale price = $35 - $7 = $28

Answer:

Regular price is 35 and discount is 20% and sale price is ?

Regular price is 35 and the discount is 7 and the sale price is 28

Step-by-step explanation:

I did the I-ready already

Find area of this figure 3 ft 4 ft 5ft

Answers

Answer:

26.14

Step-by-step explanation:

For the triangles: 3*4=12

For the circle: 28.27/2=14.135

12+14.135=26.135

~26.14

Evaluate the expression when x= -2.
х2+бх+9​

Answers

Answer:

1

Step-by-step explanation:

x = - 2

x^2 + 6x + 9

= ( - 2 )^2 + 6 ( - 2 ) + 9

= 4 - 12 + 9

= 4 + 9 - 12

= 13 - 12

= 1

The data are from a small moving company that moves people from urban apartment buildings to other urban apartment building in the same or different cities. The company needs assistance in predicting the labor hours for jobs so they can provide more accurate price quotes.
Run two separate regressions using the data in the sections of the spreadsheet titled Regression Model 1 and Regression Model 2. Use a 95% confidence level.
Fill in all the blanks below. Do not round any numbers except for when entering them in the blanks for this quiz, round these numbers to exactly 2 decimal places even if the number has only one or no decimal places. Use commas to separate thousands (e.g., 1225 should be entered as 1,225.00).
Regression Model 1
R Square expressed as a percentage rounded and carried out to two decimal places is ________% and Adjusted R Square expressed as a percentage rounded and carried out to two decimal places is _______%. Refer to the spreadsheet embedded in your Module 14 Regression document I provided you to see the calculation and format for answering this next question. The gap between R Square and Adjusted R Square expressed as a percentage rounded and carried out to two decimal places is 0.______%.
The overall regression model (was / was not) _______ significant.
Using square footage of 1,500 and mileage of 92, the model estimates that ______ hours of labor would be required, with a margin of error of _________ hours.
Regression Model 2
R Square expressed as a percentage rounded and carried out to two decimal places is _______% and Adjusted R Square expressed as a percentage rounded and carried out to two decimal places is _______%. Refer to the spreadsheet embedded in your Module 14 Regression document I provided you to see the calculation and format for answering this next question. The gap between R Square and Adjusted R Square expressed as a percentage rounded and carried out to two decimal places is 0.________%.
The overall regression model (was / was not) __________ significant.
Using square footage of 1,500, mileage of 92, and floors of 71, the model estimates that _________ hours of labor would be required, with a margin of error of ________ hours.
Model Selection
Because the R Square is (higher / lower) _________ in regression model 1 than in regression model 2 and the gap between R Square and Adjusted R Square is (smaller / larger) in regression model 1 than in regression model 2 _________ and the margin of error of the estimated labor hours is (smaller / larger) _________ in regression model 1 than in regression model 2 , we would characterize regression model (1 or 2) ___________ as being the better model.


Answers

Answer:

I wish I can read all the text

Suppose that only 2 percent of all people are geniuses. If an IQ test indicates that Albert is a genius, but the test is only accurate 90 percent of the time, then the probability that Albert really is a genius is roughly:

Answers

Answer:

P = 1,8 %

Step-by-step explanation:

From the whole population, only 2% are geniuses. But test results,              are accurate 90 %. So the probability that Albert really is a genius is:

P = 0,02 * 0,9

P  = 0,018      or    P = 1,8 %

plzzzzzz help for a brianly

Answers

Answer:b

Step-by-step explanation:

2+2 brain time yessir

Answers

believe me it’s definitely 22

Answer:

Step-by-step explanation:

4 is the correct answer

The number of homeruns hit by each player on the Bobcats baseball team is listed below.
Which measure of center best describes the approximate number of homeruns hit by a typical Bobcat player?
12, 8, 4, 3, 3, 2, 2, 2, 0

Mode

Range

Median

Mean

Answers

Answer:

mean

Step-by-step explanation:

Why would the volumes of the two figures be the same?

Answers

Answer:

They would sill be the same because just because the other shape is lopsided doesn't mean its different than the other. They can me moved left or right but they will still have the same volume.

Step-by-step explanation:

As 3D shearing transformations preserves the volume of figure, the volumes of the two figures would be the same.

What is shearing transformation in geometry?

"Shearing is the process of slanting a three- dimensional geometrical object in 3-D space either in x, y, or in the z-direction."

For given example,

We can observe that figure 2 is a result of shearing transformation on figure 1.

We know, a three-dimensional shearing transformation preserves the volume of solid figures.

This means, the volume of both the figures is same.

Also, we can observe that the length, width and height of the both figures are equal.

Therefore, the volumes of the two figures would be the same.

Learn more about shearing transformation here:

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Five friends built a marble tower. The marble tower had a curved track. The track was designed so that the marbles would move down the track in a circular path. The track ended on the floor. Each friend predicted how he or she thought the marble would move when it rolled off the end of the track onto the floor. This is what they said:

Answers

Answer:

The best answer is of Keira's.

Step-by-step explanation:

The full question is as follows :

Given - Each friend predicted how he or she thought the marble would move when it rolled off the end of the track onto the floor.

This is what they said:

Magda : '' I think it will roll in circles.''

Soledad : '' I think it will curve for a bit and then straighten out.''

Allen : '' I think it will roll out in one big curve.''

Keira : '' I think it will roll in a straight line,''

Rafael : '' I think it will zigzag for a little while.''

To find - Which friend do you most agree with ?

Proof -

The best answer is Keira's.

The marble having the track will travel in a straight line.

The behavior is true for all objects.

If no outside force act on an object, the object will travel in a straight line at a constant speed.

When the marble leaves the end of the track, it is no longer in contact with the walls of the track.

That is , the marble has no longer a center-pushing force.

According to Newton's First law, an object remains at rest or in uniform motion in a straight line unless acted upon by an external force.

Since, there is no longer a center-pushing force so the marble rolls off the end of the track in a straight line path across the floor.

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