Which symbol will make the statement true?

Answer:

Step-by-step explanation:

In a parallelogram, opposite angles are equal. So we can set the two opposite angles equal to each other and solve for x:

17x + 3 = 19x - 5

Simplifying the equation, we get:

-2x = -8

Dividing both sides by -2, we get:

x = 4

Therefore, for ABCD to be a parallelogram, x must be equal to 4.

He stayed with the vehicle which he bought for 1.2 M and sold for 900,000 for 2.87 years

The principal amount of car = 1.2 M

Rate of depreciation = 9.5 % per annum

Amount in which he sold the car to the dealer = 900000

using formula

A = P (1 - R)ˣ

A = 900000

P = 1.2 million

R = 0.095

x = time

900000 = 1200000 ( 1 - 0.095 )ˣ

9/12 = (0.905)ˣ

0.75 = (0.905)ˣ

Taking logs on both sides

log 0.75 = x log 0.905

-0.287 = x (- 0.0998)

x = 2.87

He stayed with the vehicle for 2.87 years

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Answer:

4.5 miles

Step-by-step explanation:

2 times as far as last week

last week was 2.25 miles

2* 2.25 = 4.5 miles

Answer:

Step-by-step explanation:

It is asking for the "mode" which is the data element you see the most, therefore it is 2.

Answer:

5x + 7

Step-by-step explanation:

Given

4x + 7 + x ← collect like terms

= (4x + x) + 7

= 5x + 7

\(\huge\text{Hey there!}\)

\(\huge\text{4x + 7 + x}\)

\(\huge\text{= 4x + 7 + 1x}\)

\(\huge\textsf{COMBINE the LIKE TERMS}\)

\(\huge\text{= (4x + 1x) + 7}\)

\(\huge\text{= 5x + 7}\)

\(\huge\text{Answer: \textsf{5x + 7}}\)

\(\huge\text{Good luck on your assignment \& enjoy your day! }\)

~\(\frak{Amphitrite1040:)}\)

Answer:

We proved that \(-3(2x+7) = -29 - 4x\) gives \(\mathbf{x=4}\)

Step-by-step explanation:

We are given: \(-3(2x+7) = -29 - 4x\)

We need to prove x=4

Statements                            Reasons

\(-6x-21=-29-4x\)                  Distributive property of multiplication over subtraction

\(-6x-21+4x=-29-4x+4x\)            Addition property of equality

\(2x-21=-29\)                               Additive inverse property (+4x-4x=0)

\(2x-21+21=-29+21\)             Addition property of equality

\(2x=8\)                                          Additive inverse property

\(2x/2=8/2\)                                  Division property of equality

\(x=4\)                                           Answer

So, We proved that \(-3(2x+7) = -29 - 4x\) gives \(\mathbf{x=4}\)

3 - 7 + 2 2/6 * 4/5

-4 + 14/6 * 4/5

-4 + 7/3 * 4/5

-4 + 28/15

-32/15

Answer:

Step-by-step explanation:

one second i know the answer i just have to think

Answer:

Step-by-step explanation:

13+6/y replace y with 6

13+6/6=  6/6 is the same as 1

13+1=

14

Answer:

They are parallel

Step-by-step explanation:

Find slope of point A

(-3,4), (1,2)

2-4=-2 1-(-3)=4

slope of a= -2/4 or -1/2

Find slope of point B

(6,2), (8,1)

1-2=-1, 8-6=2

slope of b= -1/2

Both have different slopes, and it can't be perpendicular because they have different denominator values.

Answer:

Step-by-step explanation:

(-3,4) (1,2)

difference is (y2 - y1) /( x2 - x1)

-2 / -4

-1/2 is the slope

(6,2) (8,1)

same as the last

-1 / 2

these lines have the same slope so they are parallel, if their slopes were reciprocals (-1/2 and 2) they would be perpendicular.

Calculate the square root in both sides of the calculation:

Distribute the square roots

Simplify the square roots.

Then:

After all these transformations, point A' will lie on the left side of the y-axis with the same y-coordinate as A, and point A''' will lie on the right side of the y-axis with the same x-coordinate as A.

What is parallelogram ?

A parallelogram is a quadrilateral with two pairs of parallel sides.

If parallelogram ABCD is reflected over the y-axis, all the x-coordinates of the vertices will change sign while the y-coordinates remain the same. This means that A will be reflected to a point A' on the left side of the y-axis with the same y-coordinate as A.

If the reflected parallelogram is then reflected over the x-axis, all the y-coordinates of the vertices will change sign while the x-coordinates remain the same. This means that A' will be reflected to a point A'' below the x-axis with the same x-coordinate as A'.

Finally, if the reflected and flipped parallelogram is rotated 180 degrees, all points will be reflected over the origin. This means that A'' will be reflected to a point A''' on the right side of the y-axis with the same x-coordinate as A'' (which is the same as A).

Therefore, after all these transformations, point A' will lie on the left side of the y-axis with the same y-coordinate as A, and point A''' will lie on the right side of the y-axis with the same x-coordinate as A.

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The production method that breaks a complex job into a series of smaller tasks is called option 1: assembly line.

What is assembly line?

A production method known as an assembly line divides the creation of a good into steps that are finished in a predetermined order.

The most often utilised technique in the mass manufacture of goods is assembly lines. Because they train unskilled workers to complete particular activities, they lower labour costs.

So, in assembly line a large complex job is first divided into small jobs.

Then the trained workers do the smaller jobs and in a fixed order.

Therefore, this process is known as assembly line.

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Answer: 5.3

Step-by-step explanation:

\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 5.3 \text{ } (t > 0)\)

The measure of the smallest angle between the beams and the roof is 35⁰.

The measure of the smallest angle between the beams and the roof is calculated by determining the value of x.

The value of x is calculated as follows;

3x + 10 + 90 + 2x + 5 = 180

5x + 105 = 180

5x = 75

x = 75/5

x = 15

The measure of the angles is calculated as follows;

3x + 10

= 3 x 15 + 10

= 55⁰

2x + 5

= 2 x 15 + 5

= 35⁰

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The height in feet of the tree is 111.5 ft.

The height of a house is 52 ft.

A tree beside the house is 7.5 ft more than twice as tall.

The height of the tree is as follows:

let

x = height of the house

Therefore,

The height of the house = x = 52 ft

Hence,

height of the tree = 7.5 + 2x

height of the tree = 7.5 + 2(52)

height of the tree = 7.5 + 104

height of the tree = 111.5

height of the tree = 111.5 ft

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Answer:

C

Step-by-step explanation:

It would equal -9

Answer:

See below

Step-by-step explanation:

Here is one possibility:

Answer:easy

Step-by-step explanation:

Answer:

Sorry bro you are going to get it

Answer:

\(g(x) = f(x + 5) + 2\), or \(g(x) = | x + 5| + 2\)

Step-by-step explanation:

To shift f(x) left 5, we should add 5 to x.
That way, each value of the new function takes the value of 5 tiles right in the original function.

So far, we have \(g(x) = f(x + 5)\).

We also need to shift it up 2, therefore, we should add 2 to every y value.

Therefore, we have \(g(x) = f(x + 5) + 2\).

Hello.

Numbers with | | around them are the absolute value, meaning it is always positive.

|-1.43| and |-1.21| become 1.43 and 1.21

The equation is now 1.43 - 7.1 + 1.21

Solve.

1.43 - 7.1 + 1.21

-5.67 + 1.21

-4.46

-4.46 is the final answer.

Answer:

56°

Step-by-step explanation:

25^2 + b^2 = 30^2

625+b^2 = 900

b^2 = sq 275

b^2 =16.6

acos(cos⁻¹) (16.6/30).

The equation is a shorthand method for writing a mathematical rule.

The answer to your question is b.equation. An equation is a shorthand method for writing a mathematical rule. It represents a relationship between two or more variables using mathematical symbols and operations. Equations are commonly used in algebra, calculus, and other areas of mathematics to solve problems and make predictions. They are written using an equal sign (=) to show that the expression on the left is equal to the expression on the right. Equations are an important tool in mathematics because they allow us to express complex ideas in a concise and precise way. By using equations, we can simplify calculations and solve problems more efficiently.
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The error of closure (EC) is a measure of the accuracy of a closed loop leveling survey.

To calculate the error of closure, we need to subtract the sum of the foresight values from the sum of the backsight values. In this case, the sum of the backsight values is (7.85 ft + 3.55 ft + 4.51 ft + 5.01 ft) = 20.92 ft, and the sum of the foresight values is (5.57 ft + 3.87 ft + 5.15 ft + 6.11 ft) = 20.70 ft.

The error of closure (EC) can be obtained by subtracting the sum of the foresight values from the sum of the backsight values: EC = (sum of backsight values) - (sum of foresight values) = 20.92 ft - 20.70 ft = 0.22 ft.

Therefore, the correct answer is c) 0.22 ft, which represents the error of closure in this leveling survey.

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Answer:

Step-by-step explanation:

D

Answer:

C

Step-by-step explanation:

I took the quiz and got it correct

(a) The profit of the firm at the current employment levels of 25 units of labor and 50 units of capital can be calculated by subtracting the total cost from total revenue.

The total revenue is given by the output multiplied by the market price, which is $2. The total cost is the sum of the wage cost (W) and the rental cost of capital (R), multiplied by their respective quantities.

Profit = Total Revenue - Total Cost

Profit = (Output * Price) - (Wage * Labor + Rental * Capital)

Given that the output is determined by the production function Y = 100K^(1/2) + 40L^(1/2), the profit can be calculated as follows:

Profit = (100K^(1/2) + 40L^(1/2)) * $2 - ($8 * 25 + $10 * 50)

(b) The profit-maximizing quantity of capital for this firm can be determined by setting the marginal revenue product of capital (MRPK) equal to the rental cost of capital (R). MRPK represents the additional revenue generated by employing an additional unit of capital.

MRPK = R

The marginal revenue product of capital can be calculated as the partial derivative of the production function with respect to capital (K), multiplied by the market price (P):

MRPK = (∂Y/∂K) * P

Using the production function Y = 100K^(1/2) + 40L^(1/2), we can calculate the marginal revenue product of capital as follows:

MRPK = (∂Y/∂K) * P = (50K^(-1/2)) * $2

Setting this equal to the rental cost of capital (R) of $10, we have:

(50K^(-1/2)) * $2 = $10

Simplifying the equation, we find:

K^(-1/2) = 1/5

Squaring both sides of the equation, we get:

K = 25

Therefore, the profit-maximizing quantity of capital for this firm is 25 units.

(c) To raise profits, the firm should decrease its capital employment from 50 to 25 units. This is because the profit-maximizing quantity of capital is determined to be 25 units, as calculated in part (b). By employing fewer units of capital, the firm can reduce its rental cost while still maintaining the optimal level of capital for production. As a result, the firm can lower its total cost and increase its profit. Employing more capital beyond the profit-maximizing level would lead to diminishing returns, where the additional costs outweigh the additional revenue generated. Therefore, reducing capital employment to the optimal level of 25 units would be the most favorable decision for the firm to maximize its profits.

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