In this number sentence, both triangles represent the same number. 32 - (triangle) = (triangle) - 8. What number do the triangles represent?

Answers

Answer 1

Answer:

Δ = 20

Step-by-step explanation:

let triangle be Δ , then

32 - Δ = Δ - 8 ( subtract 32 from both sides )

- Δ = Δ - 40 ( subtract Δ from both sides )

- 2Δ = - 40 ( divide both sides by 2 )

Δ = 20

Answer 2
Solution:

Let triangle be x

32 - x = x - 8 (add 8 on both sides)

40 - x = x (add x on both sides)

40 = 2x (divide by 2 on both sides )

40/2 = 2x/2

x = 20

Answer : The triangles represent the number 20

Related Questions

Find the volume of the resulting solid if the region under the curve y = 9/(x ^ 2 + 3x + 2) from x = 0 to x = 1 is rotated about the x-axis and the y-axis.

Answers

When a region is rotated about the x-axis, a cylinder is formed. The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height of the cylinder.

What is volume of a cylinde ?

The volume of a cylinder is the amount of space the cylinder takes up. It is found by multiplying the area of the cylinder's base by its height. The formula for finding the volume of a cylinder is V = πr²h, where r is the radius of the cylinder's base, and h is its height.

The radius of the cylinder is equal to the distance from the x-axis to the highest point on the graph of y = 9/(x² + 3x + 2).

To find the highest point on the graph, we differentiate the function and find the critical points.

Differentiating y = 9/(x² + 3x + 2):

dy/dx = -18x / (x² + 3x + 2)²

Setting dy/dx = 0 and solving for x:

-18x / (x² + 3x + 2)² = 0

x = -3, 2

For x = -3, y = 9/(-3² + 3(-3) + 2) = 9/1 = 9

For x = 2, y = 9/(2² + 3(2) + 2) = 9/8 = 1.125

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Draw a horizontal line of length 7cm. Construct the perpendicular bisector using a pair of compasses.

Answers

The horizontal line of length 7cm is added as an attachment

How to bisect the line

From the question, we have the following parameters that can be used in our computation:

Line = 7 cm

The following steps would create the perpendicular bisector

Draw the line segment of 7 cmPlace the point of the compass on one end of the line segment and draw a small arc that intersects the line segment at two points.Place the point of the compass on the other end of the line segment and draw a small arc that intersects the line segment at two points.Draw a straight line that connects the two points where the arcs intersect the line segment.This line is the perpendicular bisector of the line segment.

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can you pls help me with this question

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Originally our equation looks like [tex]x^{2}[/tex] + 2y

First, we want to substitute x = [tex]\frac{1}{2}[/tex]  & y= 0 into the equation.

The equation now looks like [tex]([/tex][tex]\frac{1}{2}[/tex][tex])^{2}[/tex] + 2 x 0

The brackets are added to the fraction as we are squaring the WHOLE fraction, and the 2y has a hidden multiplication sign, with it being 2 x y, so it is 2 x 0.

Now that we have our values substituted into the equation, we can solve it!

 [tex]([/tex][tex]\frac{1}{2}[/tex][tex])^{2}[/tex] = [tex]\frac{1}{4}[/tex]  

therefore,

[tex]\frac{1}{4}[/tex]  + 2 x 0

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

Two trees are planted next to each other. One tree is 4 meters tall and casts a 16-meter shadow. Determine the height of the other tree if it casts a 29-meter shadow.

1.81 m

3.25 m

7.25 m

12.25 m

Answers

The height of the other tree is 7.25 meters

How to determine the height of the other tree

From the question, we have the following parameters that can be used in our computation:

One tree is 4 meters tall casts a 16-meter shadow

Using the above as a guide, we have the following:

Ratio = Height : Shadow

So, we have

Height : Shadow = 4 : 16

Simplify

Height : Shadow = 1 : 4

So, we have

Height : 29 = 1 : 4

This means that

Height = 29 * 1/4

Evaluate

Height = 7.25

Hence the height is 7.25 meters

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Answer:

The height of the other tree is 7.25 meters

Step-by-step explanation:

what happens to the expected value of M a, sample size increases? a. It decreases 10, b. t also increases. e. It stays constant. d· The expected value does not change in a predictable manner when sample size increases.

Answers

The expected value of M does not change in a predictable manner when sample size increases; it can increase, decrease, or stay the same.

The expected value of M, or the mean of a sample, is determined by the values of the individual elements that comprise it. As such, when the sample size increases, the expected value of M could increase, decrease, or remain constant, depending on the particular values of the individual elements in the sample. This is because the expected value of M is the average of the individual elements and the contribution of each element to the average depends on its value and the number of elements in the sample. Therefore, the expected value of M does not change in a predictable manner when sample size increases. Depending on the individual elements in the sample, the expected value of M could be higher, lower, or constant.

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What percent of the
square is shaded in?
When you type your answer
do not include a % sign.

Answers

Answer:

1 1/3  or just 1/3

Step-by-step explanation:

What percent of the shape is shaded in?


Alright to start, let's look at the shape, it is divided into 4 equal parts, one part is shaded, which gives us 1/4, or 25% or 0.25. Then there's another part, which is half shaded, that'll be half of 1/4 or 25% or 0.25, which is 1/8 or 12.5% or 0.125. Now all you have to do is add them together.

1/4 + 1/8 = 3/8

25% + 12.5% = 37.5%

0.25 + 0.125 = 0.3725

These are your three answers you can choose from, I guess the second one won't work because the problem states not to include a % sign.

Hope this helped!

based on the data shownin the graph how many boxes can the shipping company to pack in a 18 hour period

Answers

The equation of line is y = 12x and the number of boxes the shipping company can pack in 18 hour period is 216 boxes

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the number of hours be x

Let the number of boxes be y

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 5 , 60 )

Now , the slope of the line m = y/x

Substituting the values in the equation , we get

Slope m = 60 / 5 = 12

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 60 = 12 ( x - 5 )

y - 60 = 12x - 60

y = 12x

Now , when x = 18 hours

y = 12 ( 18 ) boxes

y = 216 boxes

Hence , the number of boxes is 216 boxes

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A cable is used to support a 245-m television tower. If the angle the cable makes with the ground is 78°, how long is the cable? _______ m

Answers

The length of the cable is, 252.57 m.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A cable is used to support a 245-m television tower.

And, the angle the cable makes with the ground is 78°.

Let the length of the cable = x

Hence, We can formulate;

⇒ sin 78° = 245 / x

⇒ 0.97 = 245 / x

⇒ x = 245/0.97

⇒ x = 252.57 m

Thus, The length of the cable is, 252.57 m.

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how did get 180 by solving 15 multiply by 12???

Answers

One way we can check this is to simply multiply 15 by 12 to get 180.

15 × 12 = 180

Or you could even switch the numbers around.

12 × 15 = 180

But if we wanted to check it further, we can take the total and divide that by one of the multiplican or multipliers (15 or 12) to get the correct product.

180 ÷ 15 = 12180 ÷ 12 = 15

Therefore, these are some ways to use the numbers 180, 15 and 12 in expressions.

Oscar and Julie Ashton are celebrating their 15th anniversary by having a reception at a local reception hall. They have budgeted $4,500 for their reception. If the reception hall charges a $90 cleanup fee plus $35 per person, find the greatest number of people that they may invite and still stay within their budget.​

Answers

The greatest number of people that they may invite and still stay within their budget is 126 persons.

Equation in mathematics

An equation is a mathematical statement in symbolic form that indicates that two things are exactly the same. Equations are written with an equal sign (=) as follows:

x + 3 = 5, which states that the value x = 2.2x + 3 = 5, which states that the value x = 1.

The statements above are similar. Equations can be used to express the similarity of two expressions composed of one or more variables.

For example, for real x members, the following equation is always true:

x(x - 1) = x² − x.

The above equation is an example of identity.

An equation that is always true regardless of the values of the variables in it. 

According to the question:

Oscar and Julie Ashton have a budgeted $4,500 for their reception.

The reception hall charges a $90 cleanup fee plus $35 per person.

Let the total number of persons be = p

Clean up is a one time charge.

So, the inequality forms:

90+ 35p= < $4500

90 + 35p =< $4500

35p =< $4500 - 90

35p=< 4410

p=< 4410 : 35

p =< 126 persons

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2 numbers that can be true for the following equations. x+y=17 & x-y=7

Answers

The two numbers that can be true for the equations are 5 and 12

How to solve the simultaneous equation

From the information given, we have the equations;

x+y=17

x-y=7

From equation (1), make 'x' the subject of formula

x = 17 - y

Now, substitute the value into the formula, we have;

17 - y - y= 7

collect like terms

-y-y = 7 - 17

Subtract the iike terms

-2y = -10

Make 'y' the subject

y = 5

Substitute the value

x = 17 -5

x = 12

Hence, the values are 12 and 5

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Which of the following statements is correct?
A) The y-intercept is +4.
B) The zeros are all positive rational numbers.
C) When -2 < x < -1. f(x) < 0.
D) (X + 2) is a factor of the function.

Answers

Answer:

B

Step-by-step explanation:

it says why

Patrick is a great babysitter. He makes $9 an hour. Lila is an even better babysitter. She makes $12 an hour. Lila works 6 hours each week. How many hours does Patrick need to work in order to earn as much money as Lila earns in a week?

Answers

Answer:

8 hours

Step-by-step explanation:

We know that since Lila earns $12/hr and works 6 hr/week, she earned 72 since 12 * 6 = 72.

We can let the amount Patrick earns each week represent 9h, where h is the amount of hours he works.

We can solve for h by setting Patrick's equation equal to 72, which is Lila's earnings:

[tex]9h=72\\h=8\\\\9(8)=72\\12(6)=72[/tex]

1. Find the value of x. Round to the tenths. (Hint: The sum of the angle measures of a
quadrilateral is 360°).
2x+6
15x-8

Answers

Answer:

10.7 °

Step-by-step explanation:

In this problem, there are two angles with degrees of 2x + 6 and two angles of degrees of 15x - 8. We know the sum of the four angles is 360, as stated in the problem. Thus we can set up the following equation:

2(2x + 6) + 2(15x - 8) = 360

4x + 12 + 30x -16 = 360

34x - 4 = 360

34x = 364

x ≈ 10.7 °

Solve for X. Find the length of angle 10
8
E
2x - 17
9
D
с

Answers

Applying the secant-secant theorem, the value of x is: 12.

What is the Secant-secant Theorem?

The secant-secant theorem states that if you draw two lines from a point outside a circle that intersect the circle at two different points, then the product of the length of one line segment and the length of the portion of the line outside the circle is equal to the product of the length of the other line segment and the length of its portion outside the circle.

Based on the secant-secant theorem, we have:

EF * ES = ED * EC

Substitute the values:

8(8 + 10) = 9(2x - 17 + 9)

Solve for x:

144 = 18x - 72

144 + 72 = 18x

216 = 18x

216/18 = x

x = 12

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Draw the line of reflection that reflects quadrilateral ABCD onto
quadrilateral A'B'C'D'.

Answers

Note that the line of reflection that reflects quadrilateral ABCD onto quadrilateral A'B'C'D' is given as attached. Note that when a shape is reflected, it must be reflected over a line. In this case, the line of reflection is y = -3.

What is a line of reflection?

A line of reflection is a line that acts as a mirror, reflecting a figure across the line so that the image is a mirror image of the original.

When a shape is reflected, it must be reflected over a line. The line of reflection of quadrilateral ABCD onto quadrilateral A'B'C'D is

From the given graph, we have the following observations

ABCD was flipped over to form A'B'C'D'

The line of reflection is between both shapes.

Using points C and C' as references;

We have:

C = (-3, -1)

C" = (-3, -5)

Notice that both points have the same x-coordinate

This means that the line of reflection is parallel to the x-axis and passes through the y-axis.

The point at which it passes through the y-axis is calculated using the mid-point formula.

Therefore, we have:


y = (y1+y2)/2

y = (-1-5)/2

y = -6/2

y = -3

Hence, the line of reflection is y = -3
See the attachment for the line of reflection.

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Answer:

Step-by-step explanation:

Solve please asap have a good day

Answers

The summation notation for the given arithmetic series is  [tex]\sum_1^4(4n)[/tex]

What is arithmetic series?

An arithmetic series is the sum of the terms in an arithmetic sequence with a definite number of terms.

Given is an arithmetic series, 4+8+12+16, we need to find the summation notation for the given arithmetic series,

To generate the terms of a series given in sigma notation, successively replace the index of summation with consecutive integers from the first value to the last value of the index.

To generate the terms of the series given in sigma notation above, replace n by 1, 2, 3 and 4

[tex]\sum_1^4(4n)[/tex] = 4(1) + 4(2) + 4(3) + 4(4)

= 4 + 8 + 12 + 16

= 40

Therefore, the sum of the series is 40

Hence, the summation notation for the given arithmetic series is  [tex]\sum_1^4(4n)[/tex]

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How could you use the graph to find the number of apples needed for 30 celery sticks? PLS I NEED THIS BY TODAY BC IT IS DUE TOMORROW HELPPPP IM SO DESERET

Answers

Step-by-step explanation:

What graph are we talking about?

If 6 Gardner's can now the grass of a soccer field in 2 hours how many gardeners can mow the same field in 3 hours

Answers

Two gardeners can cut a similar field in three hours. A soccer field might be cut in two hours by six grounds-keepers, every one of whom works at a pace of one-6th of the field every hour.

To get the number of grounds-keepers expected to cut the very field in that timeframe, we should initially decide the speed at which the field can be cut in 3 hours, which is 1/3 of the field consistently.

To get the required number of groundskeepers, we partition this rate by the pace of every nursery worker, which is 1/6 of the field every hour, yielding the condition 1/3 / 1/6 = 2.

Subsequently, two nursery workers might cut similar regions in three hours.

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helpppppppppppp pleaseeee

Answers

Bethany says, Using these exchange rates, £1 is worth 1.17 euros.

Step-by-step explanation

1 euro = 1.07 dollars

£1 = 1.25 dollars

Now ,

⇒ £1 = 1.25 dollars

⇒ £1 =

⇒ £1 =

⇒ £1 =

⇒ £1 =

⇒ £1 =1.17 euros

Therefore , Bethany says, Using these exchange rates, £1 is worth 1.17 euros.

What is the surface area of the cube?

Answers

Answer:

tsa=6a^2

=6x(6.5x6.5)

=235.3cm sq.

Step-by-step explanation:

i hope it will help u

What is the most precise term for quadrilateral ABCD with vertices A(4, 7),
B(6, 5), C(4, 1), and D(2, 5)?

Answers

Answer:

Step-by-step explanation:

The most precise term for the quadrilateral ABCD with vertices A(4, 7), B(6, 5), C(4, 1), and D(2, 5) is a trapezoid. A trapezoid is a quadrilateral with exactly one pair of parallel sides.

Take a factor out of each square root.
√17x² where x > 0

Answers

The factor of quadratic equation is x√17

What is quadratic equation?

A quadratic equation is one that contains a second-degree polynomial. They are extensively utilized in a wide range of disciplines, including engineering, architecture, finance, biology, and, of course, mathematics.

Factoring is frequently the simplest way to solve a quadratic equation. Finding expressions that can be multiplied together to get the expression on one side of the problem is the process of factoring. A quadratic equation is represented as a product of linear terms if it can be factored.

First you need to find perfect square factors of 17

17 = 1*17

√17  = √1*√17 = 1√17 = √17

we had also √x² = x

So the answer is x√17

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Maxine took out a $9,000 loan to buy a car. By the end of the loan, she had paid 20% of the original loan amount in interest. What was the total amount she paid on the loan with interest?

Answers

Maxine paid total amount of $10800 on the loan.

What is percentage?

The percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given,

Maxine took loan of $9000

Interest she paid = 20%

Total interest = (20/100) × 9000

                      = $1800

Total amount = $9000 + $1800 = $10800.

Hence, $10800 is total amount Maxine paid at end of the loan.

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PLEASE HELP 15 POINTS

Answers

The area of the given given shape which consists of a triangle and a quarter circle to 1 decimal place would be =161.04m².

How to calculate the area of a triangle?

The formula used to calculate the are of triangle= ½base×height.

where; Base= 12m

height= 20-12 = 8 m

area = 1/2×12×8 = 48m²

The formula for the area of a quarter circle = πr²/4

where r = 12m

Area = 3.14 × 12²/4

= 3.14×144/4

= 452.16/4

= 113.04m²

Therefore, the area of the figure = 48+ 113.04 = 161.04m²

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Solve for x. Enter the solutions from least to greatest.
6x² - 6x - 72 = 0

Answers

Answer:

-3, 4

Step-by-step explanation:

First, we can simplify this expression by diving both sides by 6. Thus, we get x² - x - 12 = 0. Solving this, we get (x-4)(x+3). Thus, the solutions for x are 4 and -3. So, the answer is x = -3, 4

3. Roma makes scented candles, which she sells for $5 each or $11 for 3. Yesterday she took 200 candles with her to a craft fair and sold them all, taking a total of $788.
How many of her candles did Roma sell for $5 at the craft fair?

Answers

Let's call the number of candles Roma sold for $5 each "x".

What is the unitary method's formula?

What is the unitary method's formula? The unitary method's formula is to identify the value of a single unit, then multiply that value by the number of units to obtain the required value.

Since she sold 200 candles in total, we know that x + 3y = 200, where y is the number of sets of three candles she sold for $11.

We also know that the total revenue was $788, so we can set up another equation based on the total revenue:

5x + 11y = 788

Now that we have two equations, we can use substitution to solve for x. First, let's solve for y:

y = (200 - x) / 3

Plugging this expression for y into the second equation:

5x + 11((200 - x) / 3) = 788

Expanding and simplifying the equation:

5x + (2200 - 11x) / 3 = 788

Multiplying both sides by 3 to get rid of the fraction:

15x + 2200 - 11x = 2364

Combining like terms:

4x = 164

Finally, dividing both sides by 4 to solve for x:

x = 41

So Roma sold 41 candles for $5 each at the craft fair.

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7700 dollars is placed in an account with an annual interest rate of 5.5%. To the nearest year, how long will it take for the account value to reach 26500 dollars?

Answers

116 years it take  for the account value to reach 26500 dollars

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that 7700 dollars is placed in an account with an annual interest rate of 5.5%.

We need to find the time it  take for the account value to reach 26500 dollars

[tex]A=P(1+r)^{t}[/tex]

A = final amount=26500

P = initial amount (7700)

r = annual interest rate (5.5%)

n = number of times interest is compounded per year

t = time in years

Solving for t, we get:

[tex]25600=7700(1+5.5/100)^{t}[/tex]

[tex]25600=7700(1.055)^{t}[/tex]

Divide both sides by 7700

[tex]25600/7700=1.055^{t}[/tex]

3.32=tlog1.055

3.32=0.02t

t=116 years

Hence, 116 years it take  for the account value to reach 26500 dollars

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Albert invests money in an account that earns a yearly dividend. The amount, A, in his account at the end of t years is given by the equation Which statement is correct?​

Answers

The amount in the account after t years is given as follows:

A(t) = A(0)(1 + r)^t.

In which:

A(0) is the initial amount.r is the growth rate, as a decimal.

How to model the situation?

The standard definition of an exponential function is given as follows:

y = a(b)^x.

In which:

a is the initial value.b is the rate of change, as a decimal.

For an increasing exponential function, the rate of change is given as follows:

b = 1 + r.

In which r is the growth rate, as a decimal.

Considering that the balance increases according to the yearly dividend, the equation is given as follows:

A(t) = A(0)(1 + r)^t.

Missing Information

The problem is incomplete, hence the general procedure in obtaining the equation was presented, which can be used to analyze the statements.

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Help please i don’t know how to do this

Answers

Answer:

16

Step-by-step explanation:

(fog)x=f{g(x)}

=f(x-2)

=(x-2)^2

So,

(fog)(-2)=(-2-2)^2

=-4^2

=16

Other Questions
Which of these elements is/are known to form self-limiting oxide surface layers that are protective against further corrosion:A. IronB. AluminumC. ChromiumD. Copper Calculate the amount of heat in kilocalories needed to melt 56.0 g of ice at 0 C and warm the liquid to 65 C. His = 80. cal/g; Hvap = 540 cal/g; SH = 1.00 cal/g Samuel is writing a summary of "The Truth About Bats." Which word in the passage should he highlight as being important for his summary? A. number B. group C. species D. :helpful:nocturnal: building in floodways is regulated in order to avoid raising the height of floodwaters.a. trueb. false Make a poster that could be used to educate people about why thegovernment needs to charge taxes. The poster should encourage privateindividuals to pay their taxes by educating them about what the governmentuses the taxes for. I will mark you brainiest! Book : Night by Elsie WieselWhy does Elie feel ashamed after the death of his father?A) He fears that he wanted his father to die to make his situation easier.B) He was unable to get him a bowl of soup that night.C) He must steal his fathers clothing and shoes to keep warm.D) He chose to not stay by his father's side on his last night. Suggest ways government can encourage youth to actively participate in the democratic process? when a client who has a chest tube after thoracotomy reports sharp chest pain at the chest tube and refuses to take deep breaths, which action by the nurse is best? will give brainliest. A recent conference had 875 people in attendance. In one exhibit room of 60 people, there were 46 teachers and 14 principals. What prediction can you make about the number of principals in attendance at the conference?A, There were about 204 principals in attendance. B.There were about 266 principals in attendance. C. There were about 671 principals in attendance. D. There were about 815 principals in attendance PLS HELP ASAP I WILL GIVE BRAINLYDirection:Choose two countries in East Asia or Southeast Asia which you are not so familiar with. Make an in-depth research about the country's political and economic conditions, policies, struggles at present. Write your research paper.Assemble a portfolio that includes your paper, flags, maps, charts, statistical data, pictures and other information that you have gatheredMake a summary chart about the country in East or Southeast Asia. Analyze the data.question:Write the conclusion of your research. while big-o notation is used to measure the worst-case complexity of our code, we may also choose to assess the best-case complexity using big-theta notation. If Tristan's pay was $1600 for the week, he sold ? vacuums consumers in a small economy spend $53,000 on goods and services annually. also annually, investment is $12,000, government spending is $6,500, exports are $400, and imports are $300. what is the value of gdp in this economy? how do the physical properties of ionic solids, in general, differ from the properties of molecular solids? give an example of each to illustrate your discussion. **I WILL GIVE 50 POINTS AND BRAINLIEST**A cone has a volume of 192 cubic inches. Its height is 9 inches, what it's radius? Show all your work. Suppose you spin the spinner below 5 times. A spinner is shown with equal sections A, B, and C. The pointer is on section B. Which probabilities do you need in order to calculate P(getting A on 2 or fewer spins)? P(0 successes) P(1 success) P(2 successes) P(3 successes) P(4 successes) P(5 successes) Tito purchased 11 tickets to a baseball game for $374. About how much did one ticket cost? The great Gatsby NEED HELP ASAPJordan BakerGatsby's MansionWolfsheimDaisy's wedding Which three belong together and why which organization provides an international forum for reaching trade agreements and resolving disputes among its members? An Atwood machine is constructed using twowheels (with the masses concentrated at therims). The left wheel has a mass of 2 kg andradius 23.1 cm. The right wheel has a mass of2.1 kg and radius 30.77 cm. The hanging masson the left is 2 kg and on the right 1.69 kg.