. The slope of the aggregate expenditure line (model) is equal to:
MPC
APC
MPS
APS

Answer:

x = 96

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 4 to both sides:

(1/3)x - 4 (+4) = 28 (+4)

(1/3)x = 28 + 4

(1/3)x = 32

Next, multiply 3 to both sides:

(3)(1/3)x = (32)(3)

x = 32 * 3

x = 96

x = 96 is your answer.

~

Answer:

96=x

Step-by-step explanation:

Add 4 to each side

1/3x= 32

multiply 3 on each side to cancel out the fraction

x=96

Answer: 80 perhaps

Step-by-step explanation:

Answer:

the answer is c 40 ft because to find the area is half of base times height

Step-by-step explanation:

8 times 10 = 80

80/2= 40

The rational number equals  \(0.\bar6\) will be 2 over 3. Then the correct option is A.

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number.

Check all the options, then we have

A.  2 over 3, then the value of the expression will be

⇒ 2/3

⇒ 0.6666...

⇒ \(0.\bar{6}\)

B.  6 over 10, then the value of the expression will be

⇒ 6/10

⇒ 0.6

C.  4 over 5, then the value of the expression will be

⇒ 4/5

⇒ 0.8

D.  6 over 5, then the value of the expression will be

⇒ 6/5

⇒ 1.2

The rational number equals  \(0.\bar6\) will be 2 over 3. Then the correct option is A.

More about the rational number link is given below.

https://brainly.com/question/9466779

#SPJ1

The judgement on each of the given scenarios are as follows;

1. Yes, enough information is given to conclude that the triangles are congruent by the side-side-side SSS congruence theorem.

2. No, the information conveyed through the triangles is not enough to conclude that the triangles are congruent.

3. Yes, the two triangles given are congruent by the HL Congruence theorem.

1. By observation: the two Triangles represented in 1. share a side and also, the two corresponding sides are congruent; it can be concluded that the two triangles are congruent.

2. Although two sides are said to be congruent in the triangles; it cannot be concluded that the triangles are congruent neither by HL nor SSS congruence theorem.

3. The two Triangles share the diagonal which is the hypothenuse of both triangles.

Additionally, one of the other side lengths of the triangles are congruent; Therefore, the triangles are congruent by the HL congruence theorem.

Read more on triangle congruence theorems;

https://brainly.com/question/2102943

#SPJ1

Answer:

A

Step-by-step explanation:

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is

9 - 4 = 5

The statement, "random variable is discrete means that outcome can take on only one of two possible values" is False because the outcome is not restricted to just two outcomes.

If a random variable is discrete, it means that the variable can take on only a finite or countable number of values, where the values are usually integers. The values may not necessarily be restricted to just two possible outcomes.

For example, the number of children in a family is a discrete random variable, where the values can be 0, 1, 2, 3, etc. Similarly, the number of heads in 10 tosses of a fair coin is a discrete random variable, where the values can be 0, 1, 2, ..., 10.

Therefore, the statement is False.

Learn more about Random Variable here

https://brainly.com/question/17238189

#SPJ4

In the given scenario ladder is 6.52 feet long.

Given that,

The angle between ground and ladder = 62 degree

The distance of ladder from ground and ladder = 3 feet

We have to find the length of  ladder.

Since we know that,

The trigonometric ratio

cosθ = adjacent/ Hypotenuse

Here we have,

Adjacent =  3 feet

Hypotenuse = length of ladder

Thus to find the length of ladder we have to find the value of hypotenuse.

Therefore,

⇒ cos62 = 3/ Hypotenuse

⇒    0.46 = 3/ Hypotenuse

⇒ Hypotenuse =  3/0.46

                          = 6.52

Thus,

length of ladder  = 6.52 feet.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

The required answer is the value of tan(2) is approximately -2352/3669.

To evaluate the expression under the given conditions, we will first determine the value of sin() using the Pythagorean identity and then use the double-angle formula for tan(2).
A Quadrant is circular sector of equal one quarter of a circle ,or  a half semicircle. A sector of two-dimensional cartesian  coordinate system.  The Pythagorean identity, are useful expression involving the function need to simplified.

Given: cos() = 7/25, and is in Quadrant I.
Step 1: Find sin()
Since we are in Quadrant I, sin() is positive. Using the Pythagorean identity, sin^2() + cos^2() = 1, we can find sin().
sin^2() + (7/25)^2 = 1
sin^2() = 1 - (49/625)
sin^2() = (576/625)
sin() = √(576/625) = 24/25

we  are called the Pythagorean identity is  Pythagorean trigonometric identity, is expression A to B .

The same value for all variables within certain range. Angle is double or multiply by 2 so we called double- angle.

Step 2: Find tan(2) using the double-angle formula
The double-angle formula for tangent is: tan(2) = (2 * tan()) / (1 - tan^2())
First, we find tan():
tan() = sin() / cos() = (24/25) / (7/25) = 24/7
Now, use the formula for tan(2):
tan(2) = (2 * (24/7)) / (1 - (24/7)^2)
tan(2) = (48/7) / (1 - 576/49)
tan(2) = (48/7) / ((49 - 576) / 49)
tan(2) = (48/7) * (49 / (-527))
tan(2) = (-2352 / 3669)
So, under the given conditions, the value of tan(2) is approximately -2352/3669.

To know more about  the Pythagorean identity. Click on the link.

https://brainly.com/question/29003523

#SPJ11

The equatiοn fοr this statement 9m = 459m = 45

When twο expressiοns are equal, a mathematical equatiοn prοves it. It cοntains the equals sign and has the ability tο cοntain variables, cοnstants, and mathematical expressiοns.

Determine which values οf the variables result in the equality when sοlving an equatiοn with variables. The variables that must be sοlved by the equatiοn are alsο knοwn as unknοwns, and the values οf the unknοwns that satisfy the equatiοn's requirements are knοwn as its sοlutiοns.

Identity and cοntextual equatiοns are twο different types οf equatiοns. Fοr all pοssible values οf the variables, an identity is true. Only certain values οf the variables allοw fοr the validity οf a cοnditiοnal equatiοn.

The equatiοn fοr this statement is:

9m = 45

To learn more about equation, Visit

https://brainly.com/question/2972832

#SPJ1

Answer:

23

Step-by-step explanation:

\(3^{2}\)×2+15÷3

=9×2+5

=18+5

=23

Hoped I helped :)

-Vana

Answer:

he needs 17/8 gallons of milk to make 30 milkshakes and this is proportional relationship

Step-by-step explanation:

3/4 divided by 12 = 1/16

gallon to make 1 milkshake and

1/16 x 30 = 17/8 gals. to make 30 milkshakes,

it's proportional because 3:4 > 15:8

The sample size is 289.

Zα/2 = \(Z_{0.025}\)

= 1.96  

Sample size = n

n = [Zα/2* σ / E] 2

n = [1.96 * 26 / 3 ]2

n = 288.54

n = 289.

In records, the pattern size is the measure of the number of man or woman samples used in an experiment. As an example, if we are testing 50 samples of folks that watch tv in a town, then the sample length is 50.

An awesome sample length is normally 10% as long because it no longer exceeds a thousand. A very good sample length is commonly around 10% of the populace, as long as this doesn't exceed one thousand. for example, in a populace of 5000, 10% could be 500. In a populace of 200,000, 10% would be 20,000.

Learn more about the sample size here https://brainly.com/question/25574075

#SPJ4

Answer

The answer in scientific = 6×10^2

Explanation

We are asked to simplify the expression.

48×10^5 / 8×10^3

We need to break this down to simplify it

6×10^2 = 600.

Hope this Helps!!!

Answer:

A is the answer of above question

Answer:

84

Step-by-step explanation:

Answer:

positive 84

Step-by-step explanation:

when you multiply a negative by a negative it becomes a positive

The cardinality of a set refers to the number of elements in the set. If the set X has cardinality 16 and the set Y has cardinality 24, then the number of elements in set X is 16 and the number of elements in set Y is 2.

If their intersection has cardinality 21, then the number of elements that both sets have in common is 21.To determine the number of elements contained in the union of X and Y, we need to subtract the number of elements in their intersection from the sum of the cardinalities of X and Y. That is,

|X U Y| = |X| + |Y| - |X ∩ Y| = 16 + 24 - 21 = 19

Therefore, the union of X and Y contains 19 elements.

Find out more about cardinality

brainly.com/question/29588978

#SPJ4

Step-by-step explanation:

9, 430, 049 = 9 million four hundred thirty thousand and fourtynine....

\(...\) :)..

Answer:

38

Step-by-step explanation:

Answer:

34 i got it right

Step-by-step explanation:

Hello, the solution of the geometry problem is in this photo.

AOC = 136°

BOC = 44°

9514 1404 393

Answer:

  x = 7.5

Step-by-step explanation:

Angle LMN is twice the measure of angle NMO, so we have ...

  6x -17 = 2(2x -1)

  6x -17 = 4x -2 . . . . eliminate parentheses

  2x = 15 . . . . . . . . . add 17-4x

  x = 7.5 . . . . . . . . . divide by 2

_____

Check

  6x -17 = 6(7.5) -17 = 28

  2x -1 = 2(7.5) -1 = 14 . . . . . . half of angle LMN, as required

Answer:

,..............,...............?..?.?.?.?.................

Step-by-step explanation:

Answer: 25 cents

Step-by-step explanation: a dime is ten cents and a nickel is 5, 3 nickels is 15 cents add a dime it’s 25 cents

Answer: 22 miles per gallon

Step-by-step explanation: 66/3 = 22.

Answer:

22 miles per gallon

Step-by-step explanation:

66/3=22

Answer:

1.7 miles

Step-by-step explanation:

Given that,

Jacob walks 1.5 miles north.

He turns and walks 0.8 miles west.

We need to find how far is he from his starting point. Let he is at a distance of x miles from the starting point. It can be calculated as follows :

\(x=\sqrt{1.5^2+0.8^2} \\\\x=1.7\ \text{miles}\)

Hence, he is 1.7 miles from his starting point.

Answer:

8/21

Step-by-step explanation:

1- 2/7 - 1/3 = 21/21 - 6/21 - 7/21 = 8/21

To determine which payment plan the real estate investor would prefer, we need to compare the present value of each payment option. Assuming a discount rate of 0%, meaning no time value of money is considered, we can directly compare the payment amounts.

1. Payment of $2,000 at the first of each month: This results in a total payment of $24,000 over the 12-month lease.

2. Upfront payment of $24,000: This option requires paying the full amount at the beginning of the lease.

3. Payment of $2,000 at the end of each month: Similar to option 1, this results in a total payment of $24,000 over the 12-month lease.

4. Upfront payment of $12,000 and $12,000 half-way through the lease: This option requires paying $12,000 at the beginning of the lease and another $12,000 halfway through the lease.

Since all the payment options have a total cost of $24,000, the real estate investor would likely prefer the payment plan that offers more flexibility or matches their cash flow preferences. Options 1 and 3 provide the investor with the option to pay monthly, while options 2 and 4 require a larger upfront payment. The choice would depend on the investor's financial situation and preferences.