The developing economies' share of the global gross domestic product (GDP) from 2003 to 2017 is shown in the following table. Year Share (% of GDP) Year Share (% of GDP) 2003 20 2011 35 2004 22 2012 38 2005 23 2013 39 2006 27 2014 40 2007 28 2015 41 2008 31 2016 42 2009 31 2017 43 2010 33 (a) Find the quadratic function that best models the developing economies' share of the global GDP as a function of the number of years after 2000. (Round all numerical values to four decimal places.) y(x) = ? (b) The model predicts that in the year 2027 , developing economies reach their maximum share, what %, of the GDP.

$920 is left

$1,000/.08=$80

$1,000-$80=$920

9 goes into 260, 28.8 repeating times. hope this helps!

28.8 is your answer.

The number of girls who work there are:

                              92

It is given that:

The number of girls who work at Super shopper is 2 more than 3 times the number of boys.

This means that:

If the number of boys= x

Then the number of girls= 3x+2

If 30 boys work at super shopper.

i.e. x=30

Then 3x+2=92

Hence, the number of girls who work there are: 92

Answer: The height of the whiteboard is 4 feet and the length of the white board is 8 feet long

Step-by-step explanation:

The height of the whiteboard is 4 feet and since the length on the white board is double the height it would be 8 feet long.

4+4=8

8+8=16

16+8=24

The dimensions of the whiteboard are 4 ft by 8 ft.

To solve this problem, we can use algebra. Let's assume that the height of the whiteboard is x. Since the length is twice the height, the length is 2x. The perimeter of a rectangle is given by the formula P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

In this case, we are given that the perimeter is 24 ft, so we can write the equation as 24 = 2(2x) + 2x. Solving this equation, we get 24 = 6x. Dividing both sides by 6, we find that x = 4.

Therefore, the height of the whiteboard is 4 ft and the length is 2 * 4 = 8 ft.

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Hey there!!

Simple equation :

mᵃ × mᵇ = m ᵃ⁺ᵇ

We have :

5⁻⁷ * 5¹² * 5⁻²

... 5⁻⁷⁺¹²⁻²

... 5¹²⁻⁹

... 5³

... 125

Hope my answer helps!!

Answer:

The least value of n is, 9.

Step-by-step explanation:

Let n be the number of sheep in Integer.

Mary(M) owned the number of sheep is n i.e, M = n sheep

Sam(S) had exactly four times as many sheep as Mary , i.e, S = 4 n sheep

As per the given condition Mary buys 17 extra sheep

Now, Mary has total number of sheep, M = n +17 sheep

And Sam sells 8 of his sheep that means he has now,

[tex]S = 4n -8[/tex]

But, Sam still has more sheep than Mary i.e,  [tex]4n-8 > n+17[/tex]

Solve an inequality: [tex]4n-8 > n+17[/tex]

Add 8 both sides we get;

[tex]4n-8+8>n+17+8[/tex]

Simplify:

[tex]4n>n+25[/tex]

Now, subtract n from both the side, we get;

[tex]4n -n>n+25-n[/tex]

Simplify:

[tex]3n>25[/tex] or [tex]n>\frac{25}{3}=8.33333333[/tex]

Since n is the number of sheep in integer,

then the least value of n is, 9.  

Let the angles are x, y and z.

Let the smallest angle is x

one angle is 78 degrees more than the smallest angle.⇒ y = x + 78 → (1)

the third angle is 4 times as large as the smallest angle. ⇒ z = 4 x → (2)

we should know that the sum of the angles of the triangle = 180°

∴ x + y + z = 180 →(3)

substitute from (1) and (2) at (3)

∴ x + ( x +78) + (4x) = 180

∴ 6x = 180 - 78 = 102

∴ x = 102 ÷ 6 = 17°

∴ y = 17 + 78 = 95°

∴ z = 4x = 68°

So, the measures of all three angles are 17°, 95° and 68°

C=2 πr which is the formula for circumference

Answer:

18 inches tall.

Step-by-step explanation:

The width of an image of a book shown on a website = 1.5 inches

and length of the book shown on the website = 3 inches

The actual width of the book = 9 inches

Scale of the book image = [tex]\frac{9}{1.5}[/tex]

   1 inches  = 6 inches

The actual length of the book = 3 × 6

                                                  = 18 inches.

The actual book is 9 inches wide and 18 inches tall.

The actual height of the book, given the image size can be found to be 18 inches.

The image of the book is shown on the computer monitor at 1.5 inches wide, while the actual book is 9 inches wide.

To find the scale of the image on the computer monitor, divide the width of the image on the monitor by the actual width of the book:

= 1.5 inches / 9 inches

= 1/6

So, the scale of the image on the computer monitor is 1/6.

This means that every inch on the monitor represents 6 inches of the actual book.

Now, to find the actual height of the book, you can use the scale and the height of the image on the monitor:

= 3 inches * 6

= 18 inches

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Answer:

a)   Here x represent number of ride tickets

z represent admission fees. = $20

y represent total cost.

Step-by-step explanation:

a)   Here x represent number of ride tickets

     z represent admission fees.

      y represent total cost.

b) Given that,

$0.75 per ticket for the rides.

Number of tickets (x) = 18

Total spent (y) = $33.50

Total cost = (number of tickets)*(price per ticket) + admission fees

y =0.75x + a

We can  calculate the cost for anyone who only pays for festival admission and rides.

c)

Put y = 33.50

x = 18

33.50 = 0.75*18 + a

33.50 = 13.5 + a

Solve for a,

Subtract 13.50  both the side

33.50 - 13.50 = 13.50-13.50 + a

20 = a

So, admission cost (a) = $20

Answer:

b and c

Step-by-step explanation:

Jack popped some popcorn, but 3 of the 150 did not pop.

the ratio of the jack's popcorn = [tex]\frac{3}{150}[/tex]

                                                   = [tex]\frac{1}{50}[/tex]

                                                  = 1 : 50

We will go through all the other given ratio to find whether they are same ratio of Jack's or not.

a. 2 unpopped out of 75 kernels  = [tex]\frac{2}{75}[/tex]

                                                       = 2 : 75  This is not a match

b. 2 unpopped out of 200 kernels = [tex]\frac{4}{200}[/tex]

                                                         = [tex]\frac{1}{50}[/tex]

                                                         = 1 : 50   This is same

c. 1 unpopped out of 50 kernels = [tex]\frac{1}{50}[/tex]

                                                     = 1 : 50 This is also same

So b and c has the same ratio of unpopped to total kernels as Jack's popcorn.

the photo takes up 2/8 of the page

We label each equation

3x + 4y = 5 (1)

2x – 3y = 9 (2)

We now want to get rid of one of the variables (x or y). Lets get rid of x:

We need (1) and (2) to have the same number of x's so we multiple (1) by 2 and (2) by 3 so they both have 6 x's

6x + 8y = 10 (1)*2

6x - 9y = 27 (2)*3

Now to get rid of the x's we take one of the equations from the other. It is easier to do (2)*3 -(1)*2

 6x - 9y = 27 (2)*3

6x + 8y = 10 (1)*2

    -17y = 17  

If we devide this equation by -17 we get

y = -1

We can plug this value of y into (1) to get

3x -4 = 5

add 4 to both sides of the equation

3x = 9

Divide by 3

x = 3

Now to check put x and y into (2)

6 - (-3) = 9  

As this is true, we have the solution

x = 3, y = -1

Answer:

8 months.

Step-by-step explanation:

We have been given that Carrie borrows $960 interest-free to pay for a car repair. She will repay $120 monthly until the loan is paid off.

To find the number of months, it will take to pay off the loan, we will divide total amount of loan by monthly payment.

[tex]\text{Months to pay off the loan}=\frac{960}{120}[/tex]

[tex]\text{Months to pay off the loan}=8[/tex]

Therefore, it will take Carrie 8 months to pay off the loan.

QUESTION 1

The volume of a cone is given by;

[tex]V=\frac{\pi r^2h}{3}[/tex]

From the given information,

[tex]r=12,h=6[/tex]

[tex]V=\frac{12^2\times 6}{3}\pi[/tex]

[tex]V=\frac{144 \times 6}{3}\pi[/tex]

[tex]V=288\pi[/tex]

QUESTION 2

The volume of a sphere is given by

[tex]V=\frac{4\pi r^3}{3}[/tex]

From the given information.\

[tex]r=\frac{Diameter}{2}= \frac{12}{2}=6[/tex]

Therefore the volume of the sphere is

[tex]V=\frac{4\times6^3}{3} \pi[/tex]

[tex]V=\frac{4\times216}{3} \pi[/tex]

[tex]V=288\pi[/tex]

QUESTION 3

The volume of a sphere is given by

[tex]V=\frac{4\pi r^3}{3}[/tex]

From the given information.\

[tex]r=9[/tex]

Therefore the volume of the sphere is

[tex]V=\frac{4\times 9^3}{3} \pi[/tex]

[tex]V=\frac{4\times 729}{3} \pi[/tex]

[tex]V=972\pi[/tex]

QUESTION 4

The volume of a cylinder is given by

[tex]V=\pi r^2 h[/tex]

From the given information,

[tex]r=\frac{Diameter}{2}= \frac{12}{2}=6[/tex]

and

[tex]h=27[/tex]

Therefore volume of the cylinder

[tex]V=6^2 \times 27 \pi[/tex]

[tex]V=36 \times 27 \pi[/tex]

[tex]V=972\pi[/tex]

QUESTION 5

The volume of a cylinder is given by

[tex]V=\pi r^2 h[/tex]

From the given information,

[tex]r=\frac{Diameter}{2}= \frac{8}{2}=4[/tex]

and

[tex]h=18[/tex]

Therefore volume of the cylinder

[tex]V=4^2 \times 18 \pi[/tex]

[tex]V=16 \times 18 \pi[/tex]

[tex]V=288\pi[/tex]

QUESTION 6

The volume of a cone is given by;

[tex]V=\frac{\pi r^2h}{3}[/tex]

From the given information,

[tex]r=\frac{18}{2}=9,h=36[/tex]

[tex]V=\frac{9^2\times 36}{3}\pi[/tex]

[tex]V=\frac{81 \times 36}{3}\pi[/tex]

[tex]V=972\pi[/tex]

Volume of a cone = [tex]\pi r^2\frac{h}{3}[/tex]

Volume of a sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Volume of a cylinder = [tex]\pi r^2h[/tex]

With the help of these formulas, we can calculate the volumes.

A cone with a radius of 12 units and a height of 6 units = [tex]\pi 12^2\frac{6}{3}[/tex] = 288[tex]\pi[/tex]

A sphere with a diameter of 12 units = [tex]\frac{4}{3} \pi 6^3[/tex] = 288[tex]\pi[/tex]

A sphere with a radius of 9 units = [tex]\frac{4}{3} \pi 9^3[/tex] = 972[tex]\pi[/tex]

A cylinder with a diameter of 12 units and a height of 27 units = [tex]\pi 6^227[/tex] = 972[tex]\pi[/tex]

A cylinder with a diameter of 8 units and a height of 18 units = [tex]\pi 4^218[/tex] = 288[tex]\pi[/tex]

A cone with a diameter of 18 units and a height of 36 units = [tex]\pi 9^2\frac{36}{3}[/tex] = 972[tex]\pi[/tex]

It is true in this case, because you are trying to find the distance between two points. That also means you are trying to find the difference between two points, and to find the difference, you subtract. That is why what Brittany says is true.

Absolute value is always positive because absolute value represent distance and distance can not be negative.

Yes it is true, To determine the distance between 180 and 34, you can just subtract 180 - 34.

Since, absolute value is represent distance between two points

and absolute value is always greater or equal to zero.

Now, To  determine the distance between 180 and 34,  just subtract 180 - 34.

and then take absolute value.

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Yes. I take algebra 1 honors

negative

Let's find the slope of our line using the slope formula:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

where

[tex]m[/tex] is the slope of the line

[tex](x_{1},y_{1})[/tex] are the coordinates of the first point on the line

[tex](x_{2},y_{2})[/tex] are the coordinates of the second point

From the graph we can get the points (-2, 1) and (2, -1), so [tex]x_{1}=-2[/tex], [tex]y_{1}=1[/tex], [tex]x_{2}=2[/tex], and [tex]y_{2}=-1[/tex]. Let's replace the values in our formula to find [tex]m[/tex]:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m=\frac{-1-1}{2-(-2)}[/tex]

[tex]m=\frac{-2}{2+2}[/tex]

[tex]m=\frac{-2}{4}[/tex]

[tex]m=-\frac{2}{4}[/tex]

[tex]m=-\frac{1}{2}[/tex]

The slope of the graph of the linear function is [tex]-\frac{1}{2}[/tex]; since [tex]-\frac{1}{2}[/tex] is a negative number, the slope of the graph is negative.

Answer:

The answer to your question would be Area = 280.13

Step-by-step explanation:

Area of the circle without the square: 380.13

Area of the square: 100

380.13 - 100 = 280.13

-3x = -15      divide both sides by (-3)

-3x:(-3)=-15:(-3)

x = 5

Answer:

The answer is b, 5

Step-by-step explanation:

-3x = -15

(it sometimes helps to flip it, so that's what I'm going to do here to help it to make more sense)

x(-3) = -15

x(-3) devided by (-3) = -15 devided by (-3)

when you devide a negitive by a negative the answer will be positive

the absolute value of 15 devided by three is 5

your answer is a positive five, or just 5

a.   995 lb. 6 oz.

+  1,004 lb. 11 oz.

______________

  1999 lb  17 oz  =  2000 lb 1 oz.

16 oz = 1 lb

Therefore,  

1999 lb  17 oz = 1999 lb + 16 oz + 1 oz = 1999 lb + 1 lb + 1 oz

b. 24 T 1,507 lb 12 oz.

   + 7 T 938  lb  6 oz.

      ______________

      31 T  2445 lb  18 oz

2000 lb = 1 T.

16 oz = 1 lb

Therefore,

31 T  2445 lb  18 oz = 31 T + 2000 lb + 445 lb + 16 oz + 2 oz

                                 = 31 T + 1 T + 445 lb + 1 lb + 2 oz

c.     6 T.                 14 oz.  

   +  11 T. 1,949 lb.

   +                          8 oz.

   +   5 T. 49 lb.      15 oz.

______________________

     22T.  1998 lb.   37 oz.

     22T.  1998 lb.   37 oz. = 22 T + 1998 lb + 16oz + 16 oz + 5 oz.

                                          = 22 T + 1998 lb + 1 lb + 1 lb + 5 oz.

                                          = 22 T + 2000 lb + 5oz

                                           = 22 T + 1 T + 5 oz.

Answer:

A. 2000 pounds 1 ounce

B. 32T 446 pounds 2 ounces

C. 23T 5 ounces

Step-by-step explanation:

Answer:  The correct option is

(D) [tex]n<2p+7k-4.[/tex]

Step-by-step explanation:  We are given to solve the following inequality for the unknown variable n :

[tex]21k-3n+9p>3p+12~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To solve the given inequality for n, we must take terms involving n on the left side and other terms on the right side of the inequality.

From inequality (i), we have

[tex]21k-3n+9p>3p+12\\\\\Rightarrow -3n>3p+12-21k-9p\\\\\Rightarrow -3n>-6p-21k+12\\\\\Rightarrow 3n<6p+21k-12~~~~~~~~~~~~~~~~~[\textup{since }a>b~~\Rightarrow -a<-b]\\\\\Rightarrow n<\dfrac{6p+21k-12}{3}\\\\\Rightarrow n<2p+7k-4.[/tex]

Thus, the required solution for n is [tex]n<2p+7k-4.[/tex]

Option (D) is CORRECT.

Answer:

The rate of change is of 0.25 lbs / person

Step-by-step explanation:

According to my research the formula for the Rate of Change is the following

[tex]\frac{y2 - y1}{x2 - x1}[/tex]

In this situation we can use y for lbs and x for people. Since all the information was given to us in the question we can just plug the values into the formula above and solve for the rate of change.

[tex]\frac{17lbs-9lbs}{68-36} = \frac{8lbs}{32people} = 0.25lbs/person[/tex]

So we can see that the rate of change is of 0.25 lbs / person

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Answer,

The top right one.

Explanation,

7 to the 2nd power = 49

The model is showing 49 cubes

In conclusion, that's how I got the answer.

Hope this helps :-)

Hii!

__________________________________________________________

Answer:

4(x+3)

Step-by-step explanation:

In this example, both terms, 4x and 12, have something in common. In math, this is known as the greatest common factor (g.c.f.)

The g.c.f. of 4 and 12 is 4, so that's what I'm going to divide both 4x and 12 by.

Upon doing so, we obtain

x+3

Put parentheses around x+3. You'll see why soon.

(x+3)

Now we put 4 outside the parentheses.

4(x+3)

See, the parentheses indicate that we multiply 4 times both x and 3.

--

Hope that this helped! Best wishes

--

The factored expression of 4x + 12 is 4(x + 3), applying the highest common factor (HCF) method.

To solve the expression 4x +12, we want to factor it, which means we need to find the highest common factor (HCF) of the terms 4x and 12. In this case, the HCF is 4. Once we identify the HCF, we divide each term of the expression by the HCF, which reduces the expression to simpler terms. For our expression:

4x + 12 = 4(x + 3)

This means the factored form of the expression 4x +12 is 4(x + 3).

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Answer: B: symmetric property

Reflexive property  states that for every real number x, x = x.

symmetric property states that for all real numbers x and y, if x = y then y = x.

associative property states that you can add or multiply regardless of how the numbers are grouped. =(like adding/multiplying like terms.

Transitive property states that for all real numbers x,y, and z, if x = y and y = z then x = z.

The equation -1/4 = -0.25 then -0.25 = -1/4 demonstrates the Symmetric Property of equality, which means order does not matter in an equation for it to be true.

The equation you provided, -1/4 = -0.25 then -0.25 = -1/4, demonstrates the Symmetric Property of equality.

This property essentially says if a = b, then b = a. It shows that order does not matter in an equation; the elements can be flip-flopped, and the equality will still hold true. In your case, -1/4 = -0.25, and if you switch the order, -0.25 = -1/4, the equation still stays true. That's why we say it shows the symmetric property.

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take the number of blocks and multiply it by the stories

hope this helps :)