The members of a book club are raising funds by knitting and selling cell phone cases. The data on the number of cases knitted by each member is used to create the dot plot below.

Using the data from the dot plot, what is the range for the number of phone cases knitted?

a.15 b.45 c.30 d.23

Answer:

-22+5 = -17

-22-(-5) = -17

(-22)(-5) = 110

(-22)÷5 = -4.4

Answer:

\(f^{-1}\left(f(576)\right)=\boxed{576}\)

\(f^{-1}(-7)+f(-7)=\boxed{13}\)

Step-by-step explanation:

The inverse of an invertible function with the domain of all real numbers is obtained by reflecting the original function across the line y = x, which swaps the input and output values of the function. Therefore, (x, y) → (y, x).

Given table:

\(\begin{array}{lrrrrrr}\vphantom{\dfrac12}x&-7&11&-13&6&5&-9\\\cline{1-7}\vphantom{\dfrac12}f(x)&7&12&8&-7&13&5\end{array}\)

Inverse function:

\(\begin{array}{lrrrrrr}\vphantom{\dfrac12}x&7&12&8&-7&13&5\\\cline{1-7}\vphantom{\dfrac12}f^{-1}(x)&-7&11&-13&6&5&-9\end{array}\)

If we have a function f(x), the inverse function is denoted as f⁻¹(x), and it has the property that f⁻¹(f(x)) = x for all valid inputs x in the domain of f(x).

Therefore:

\(\large\boxed{f^{-1}\left(f(576)\right)=576}\)

The value of f(-7) is the value of f(x) when x = -7. Therefore, reading from the original table, f(-7) = 7.

The value of f⁻¹(-7) is the value of f⁻¹(x) when x = -7. Therefore, reading from the inverse function table, f⁻¹(-7) = 6.

Therefore:

\(\large\boxed{\begin{aligned}f^{-1}(-7)+f(-7)&=6+7\\&=13\end{aligned}}\)

Answer: 9 1/9

Step-by-step explanation:

Answer:

56x-24

Step-by-step explanation:

6+2(7x-3)

6+2=8

8(7x-3)

8×7x=56x

8×3=24

=56x-24

Answer:

1, (-5)(8)=-40 2, (4)(-4)=-16. 3, (-1)(-9)=9. 4 , (5)(6)=30. 5, (12)(-2)=-24. 6, (‐15)(9) =-135. 7. (5)(‐6)= -30. 8. 6(‐6) = -36. 9. (‐27)(14) = - 378. 10.(‐32)(0) = 0. 11.(128)(‐3)= -384. 12.(‐54)(‐4) = 216. 13.(+21) ÷ (+7)= +3

Step-by-step explanation:

positive number multiplied by positive number gives positive number

negative number (-ve) times positive number (+ve) gives -ve

-ve times -ve gives +ve

+ve times -ve gives -ve

hope it helps

Answer:So I don’t know the other 5 points because you didn’t give the data about the age and number of US states named in 60 seconds, but using the 5coordinate points you gave, I was able to make this line of best fit.

So basically the units are counting up by 5.

The x axis is age in years and y axis is the number of US states named in 60 seconds.

Since you didn’t give me the data to make the other 5 points, I can’t really answer the last question, but from the graph that I did make, there are no points that would be considered outliers, and there are no clusters in sight.

(BTW THIS IS IMPORTANT!! - when you use the data to add the other 5 points, there might be an outlier or more then one outlier. And there might be a cluster. Just look at it after you graph the last 5 and change the answer I gave you if there is an outlier or cluster)

Step-by-step explanation:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Answer:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

you answer is 1,090

Step-by-step explanation:

part is ,327

of whole,x

percent,30

327over x = 30 over 100

327*100=30x

32700=30x

÷30-÷30

= 1090x

do 1090 8s the overall answer

Answer:

see below

Step-by-step explanation:

we take out a common term (factor) from the expressions /numbers which are being added . In the given expression 5x + 2x , the common factor is x , so we can write it as x(5+2) .

Now we can add 5 and 2 inside the brackets that would be 7 , so in single term it would be 7(x) = 7x .

Substituting 5 different values

1. put x = 0 , 5*0 +2*0 = 0 + 0 = 0

2. put x = 1 , 5*1+2*1 =5+2 = 7

3. put x = 2 , 5*2+2*2 = 10+4 = 14

4. put x =3 , 5*3+ 2*3 = 15+6 = 21

5. put x=4 , 5*4+2*4 = 20+8 = 28

1. put x = 0 , 7*0 -1 = -1

2. put x = 1 , 7*1-1 = 6

3. put x = 2 , 7*2 -1 = 13

4. put x =3 , 7*3-1 = 20

5. put x=4 , 7*4 -1 = 27

For any value that makes them equal ,

equate the given equations ,

5x + 2x = 7x -1

7x = 7x -1

7x -7x = -1

0 = -1

thus we arrived at a contradiction, so there won't be any values for which the equations will be equal. Also we notice that for same values the result of 2nd equation is one less than equation 1.

And we are done!

-Rishabh

Answer:  I think it would be A

Step-by-step explanation:

I just got into high school and its been hard for me and i want to do my best to help others. I would ask your teacher for help if you cant find this helpful. It seems kind of hard so i would look at A and you are going to see 4-1 i think thats a really good thing to look for cuz pwn ate 1/4 and its the same so i would go for A. If i got it wrong im so so sorry but i wish you good luck and dont give up you got this

Answer:

AB//EF

LM//XY

Step-by-step explanation:

Even if the lines are extended, they are only parallel to each other, so (Ab) is a line and (EF) is parallel and LM//XM

Answer: Two ways to do this, you can find the area of the rectangle and subtract the 4 triangles or find the area of 4 triangles.

B: 2.25 ft2

Step-by-step explanation:

Well, I will first start by finding the area of the top 2 triangles.

The equation to a triangle is:

A = 1/2 × l × w

I will replace now the variables:

1/2 × 1 × 0.75 = 0.375

One triangle is 0.375, now I have to find the area of two triangles.

0.375 × 2 = 0.75

Now I will do the bottom 2 triangles.

The equation to a triangle is:

A = 1/2 × l × w

I will replace now the variables:

1/2 × 2 × 0.75 = 0.75

One triangle is 0.75, now I have to find the area of two triangles.

0.75 × 2 = 1.5

Now time to add it up.

1.5 + 0.75 = 2.25

So the final answer is B: 2.25 ft2

Hope this helps you!

Answer: 2.25ft²

Step-by-step explanation: (1/2 x base x height)x2

                                              (1.2 x 3 x 0.75)x2

                                              2.25ft²

Answer:

x = 60°

Step-by-step explanation:

A straight angle is bascially a line with a point marked in it. That is 180°. Supplementary angles add up to 180°. Like the two right angles on the top part of the image are supplementary, as well as the two angles on the bottom part of the image.

120° + x = 180°

x = 60°

Answer:

The height of the scale model is 10 inches, and the height of the actual monument is 100 feet. Since there are 12 inches in 1 foot, we can convert the height of the actual monument to inches:

100 feet × 12 inches/foot = 1200 inches

Now we can write the scale as:

1 inch : 120 feet

This means that one inch on the scale model represents 120 feet of the actual monument.

Answer:

is there any question?

so I can answer

Answer:

See below

Step-by-step explanation:

7)  a rectangle   12 x 8 = 96

     plus semi-circle   1/2  pi r^2 = 1/2 pi 4^2 = 25.132

          total = 121.132 m^2

8)  Circle area = pi r^2

       large circle   pi * 2^2  = 4pi

            MINUS the smaller one   pi 1.5^2 = 2.25 pi

                    total = 1.75 pi = 5.498 in^2

9) Square area = 10 x 10 = 100

      minus circle  pi r^2 = 25pi      total = 21.46  ft^2

Step-by-step explanation:

this soo easy bru multiply every side

Answer:

Step-by-step explanation:

4th question

for pyramid

surface area of pyramid=base length*base width*pyramid height

surface area=4*4*5

   surface area= 62.23 inch

2nd question

surface area of prism

length*width*height

6*3*5

128 m^2

Answer:-10.5+11 3/4

             (-4/5)÷(-2/3)

Explanation: Correct

Step-by-step explanation:

Let's assume the amount Mackey initially invested in the 6% account is x dollars.

According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.

The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.

The total interest earned in the year is given as $737.50, so we can set up the equation:

0.06x + 0.085(x + $1000) = $737.50

Simplifying the equation:

0.06x + 0.085x + 0.085($1000) = $737.50

Combining like terms:

0.145x + $85 = $737.50

Subtracting $85 from both sides:

0.145x = $737.50 - $85

0.145x = $652.50

Dividing both sides by 0.145:

x = $652.50 / 0.145

x ≈ $4500

Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.

$4500

$4500

$4500

$4500

Answer:

D

Step-by-step explanation:

just multiply the three over four inches with seven and a half to get the accurate measurements

Answer:

Where is the area of the whole triangle tho-

Step-by-step explanation:

Step-by-step explanation:

Hope it helped!

Trying again:

1/3 of 80= 26.7(1dp)

1/4 of 80= 20

26.7+20= 46.7(1dp)

80-46.7= 33.3(1dp)

Either 33 or 34 people

Answer:

30

Step-by-step explanation:

We can estimate that 1/4 people had cereal and after that, half chose eggs/ meat over toast/roll.

1/4 * 80 is 20 So we are left with 60.

60/2  is 30.

So I would estimate 30 people chose eggs and meat.

Answer:

Interior angles: 3 ∠ 5 and 4 ∠ 6

Corresponding angles: 2 ∠ 6 and 1 ∠ 5

Exterior angles: 2 ∠ 7 and 1 ∠ 8

Consecutive angles: 4 ∠ 5 and 3 ∠ 6

Answer:

19x+3

Step-by-step explanation:

P=l+l=w+w

P=5.5x+7+5.5x+7+4x-5.5=4x-5.5

P=11x+14+8x-11

P=19x+3