Which of the following graphs represents the reflection of the point ( -3, 5) over the x-axis? I have to send you the other 2. It’s 4 altogether.

The coordinates of B' in the image of the trapezoid upon translation would be; (-2, 2).

It follows from the task content that the coordinates of the point, B' on the trapezoid after the translation (x+3, y-2) has been carried out is to be determined.

On this note, since it follows from the image attached that the coordinates pair of point B, in the trapezoid's pre-image is; (-5, 4).

It simply follows that upon carrying out the transformation; (x+3, y-2) on the trapezoid, the coordinates pair of point B is; (-5+3, 4 -2).

Hence, the required coordinate pair of point B' is; (-2, 2).

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1) Gathering the data

mass = 53 g

V = 12 ml

The density is given using the following formula:

The value of set A union set B is A ∪ B = { 1, 2, 3, 5, 6, 7 }.

Consider the set,

A = { 1, 2, 3 }

And, B = { x | x is an odd whole number less than 8 }

An integer's parity determines whether it is even or odd. If an integer is a multiple of two, it is even; otherwise, it is odd.

Therefore, all the numbers less than 8 are:

1, 3, 5, 7

Therefore, the set B will be:

B = { 1, 3, 5, 7 }

In set theory, the set containing every element in a collection is the union of all its sets.

So,

A ∪ B = { 1, 2, 6 } ∪ { 1, 3, 5, 7 }

A ∪ B = { 1, 2, 3, 5, 6, 7 }

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The answer is:

Explanation:

To calculate the probability of an event A occurring, we use the formula:

And, if P(A) is the probability of A occurring, the probability of A not occurring is:

In this case, for a particular candidate to win a position, the total outcome is 10 people, and the favorable outcome is 2, for the 2 positions to be elected.

Then:

This is the probability of winning a position. The probability of not winning is:

This is an aproximation of the described situation. We are taking 4 squares of side lenght x from each corner.

The dashed lines mark up what would be the base of the box. The blue scrabbled areas will be the sides of the box.

Recall that to calculate the volume of the box, we need to multiply the lenghts of each side of the base and then multiply it by the height of the box. So, to calculate the volume we need to determine the lenght of the dashed lined.

Let us calculate the lenght of the black dashed lines. Notice that the horizontal side has a total lenght of 14. So, since we are taking 2 squares of side x, we have that the lenght of the dashed line plus twice the lenght x, we get the total lenght of the side. That is

Then the lenght of the black dashed line is 14-2x.

In the same manner, we can calculate the red dashed lines' lenght. It is 10-2x. Now, our box would be

In the picture, the green line represents the height. Comparing the blue and red lines, we have that the lenght of the green line corresponds to the lenght of the side of the square (x).

So now, we know that the volume of the box is

height * lenght of the base * width of the base = (14-2x)*(10-2x) * (x)

which is a polynomial of the variable x.

Answer:

Food

Transportation

Explanation:

To find thh correct category, we need to calculate the amount spend on each category for each family, so taking into account the circle graphs, we get:

Family A (income: $5,400)

Housing: 5400 x 19% = 1026

Food: 5400 x 14% = 756

Childcare: 5400 x 18% = 972

Transportation: 5400 x 11% = 594

Insurance: 5400 x 23% = 1242

Other Needs: 5400 x 9% = 486

Taxes: 5400 x 5% = 270

Saving: 5400 x 1% = 54

Family B (income $4675)

Housing: 4675 x 16% = 748

Food: 4675 x 16% = 748

Childcare: 4675 x 18% = 841.5

Transportation: 4675 x 13% = 607.75

Insurance: 4675 x 28% = 1309

Other Needs: 4675 x 7% = 327.25

Taxes: 4675 x 2% = 93.5

Family C (income: $6675):

Housing: 6675 x 14% = 934.5

Food: 6675 x 11% = 734.25

Childcare: 6675 x 30% = 2002.5

Transportation: 6675 x 9% = 600.75

Insurance: 6675 x 20% = 1335

Other Needs: 6675 x 6% = 400.5

Taxes: 6675 x 10% = 667.5

Now, we need to calculate the differences in each categories:

Housing

A - B = 1026 - 748 = 278 > 25

Food

A - B = 756 - 748 = 8

B - C = 748 - 734.5 = 13.5

A - C = 756 - 734.25 = 21.75

Childcare

A - B = 972 - 841.5 = 130.5 > 25

Transportation

A - B = 594 - 607.75 = -13.75

B - C = 607.75 - 600.75 = 7

A - C = 594 - 600.75 = -6.75

Insurance

A - B = 1242 - 1309 = -67 < -25

Other Needs

A - B = 486 - 327.25 = 158.75 < 25

Taxes

A - B = 270 - 93.5 = 176.5 > 25

Therefore, the answers are:

Food

Transportation

Answers to both subparts are given below:

So, (A) x = 6 is the solution of equation 8x+8 = 56:

Substitute x = 6 in equation 8x+8 = 56 as follows:

Yes, x = 6 is the solution of the equation 8x+8 = 56.

(B) The change on the right side if x = 9:

Substitute x = 9 in equation 8x+8 = 56 as follows:

Now,

So, we need to add 24 on the right side of the equation when x = 9.

The answers to both subparts are given below:

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Half of 340 gallons is:

Let x represent the amount of oil in the second tank, we know that at least 170 gallons were pumped into the first tank, therefore, at most the other half is in the second tank:

Answer: The above inequality in the number line is represented as follows:

The ratio of the surface area to the volume of the tank is 3 : 4

The volume of a shape is the amount of space in it

The given parameter is

Diameter, d = 8.0 inches

Calculate the radius of the above diameter

So, we have

r = d/2

Substitute the known values in the above equation

r = 8/2

Evaluate

r = 4

The surface area of a sphere is

A = 4πr²

Where r represents radius

So, we have

A = 4π(4)²

The volume of a sphere is

V = 4/3πr³

Where r represents radius

So, we have

V = 4/3π(4)³

The ratio is represented as

Ratio = A : V

So, we have

Ratio = 4π(4)² : 4/3π(4)³

Divide by 4³π

Ratio = 1 : 4/3

Multiply the ratio by 3

Ratio = 3 : 4

Hence, the ratio is 3 : 4

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Answer:

y = x + 3

Step-by-step explanation:

Write the equation?

Use:

m (slope) = 1

x = -2

y = 1

y=mx + b

1 = 1(-2) +B

1 = -2 + b   Add 2 to both sides

3 = b

y = mx + b

y = 1x + 3

y = x + 3

Given:

The cost function is C(x) = 10x + 3000.

Explanation:

The equation for the average cost is,

The inequality for x is,

Solve the inequality for x.

The total labor cost for repairing the tractor including the parts replacement is $2902.62 and the loss by not having the use of tractor is $1080.

An individual product, cost center, or work order is assigned to a certain amount of direct labor, which is labor used in production or services. The production team that creates items, such as machine operators, assembly line workers, painters, and so on, is referred to as direct labor when a business generates products.

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The number of students that attended the tournament is 100.

The simultaneous equations that would be used to solve this question is:

10a + 7s = 4,200 equation 1

a + s = 450 equation 2

Where:

The elimination method would be used to solve the equations.

Multiply equation 2 by 10

10a + 10s = 4500 equation 3

3s = 300

Divide both sides of the equation by 3

s = 300 / 3

s = 100

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Answer:

7

Step-by-step explanation:

First count the sides and draw a line above the shape and you will it's 7

Prob P = Heads/ flips

. = (n,p,c)

Here n is number of flips

. p is prob of 1 success

. c number of sucess

Then ANSWER IS

OPTION A) binomcdf (100,0.5, 45)

Answer: 4

Step-by-step explanation:

To find the first term you replace n with 1.

a(1) = 3(1) -7

a(1) = -4

Now that you have the first term you must find the fifth term by filling in 5 for n.

a(5) = 3(5) - 7

a(5) = 15 - 7

a(5) = 8

Now that we have both terms simply add them together to find the sum.

-4 + 8 = 4

The domain can be best described using interval notation. The domain is [-7,8].

The range can be best described using interval notation. The range is [-4,3]

The graph of a function is given. As the graph is a straight line, it is clear that the function is a linear function. Also the function graphed has no breaks or jumps. Hence the function is continuous.

The domain of a function is the x-values for which the function is defined or the function has values.

The values of the function corresponding to the x-values in the domain is called the range. It is also called image and is a subset of the co-domain set.

Now since the graph of the function given is continuous we can better describe the domain and range of the function in the form of intervals.

The x-values for which the function is defined lies form -7 to 8 on the x-axis and hence it is the domain.

The y-values corresponding to the x-values in the domain lies between -4 and 3 on the y-axis and hence it is the range.

That is,  The domain is [-7,8] and  The range is [-4,3].

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The given number : 116.625

Answer:

Explanation:

Given the function:

The graph of f(x) is attached below:

From the graph, the turning points are:

The statement is false, the correct one would be:

"if the vertical line test touches the graph more than once, then the graph is not a function."

A function is a relation that maps inputs x into outputs y, such that each input x can be mapped into only one output.

Remember that the inputs are in the horizontal axis, now, if we draw a vertical line and that line touches the graph twice, this will mean that one input will have two outputs, and thus, that would not be a function.

Then the statement is false

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The most appropriate choice for division will be given by -

Number of crates = 472 and number of apples remaining = 6

What is division?

Division is the process by which value of single unit can be calculated from the value of multiple unit.

The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula for division

Divisor x Quotient + Remainder = Dividend.

Here,

Total number of apples = 9918

Number of apples in one crate = 21

Total number of apples = 9918 ÷ 21

Quotient of 9918 ÷ 21 = 472 and remainder = 6

Number of crates = 472 and number of apples remaining = 6

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Step 1: Let's review the information given to us to answer the problem correctly:

• p = Principal

• 0.12 = Interest rate

• 224 = Future value

Step 2: Let's write a problem based on this information, using the Simple Interest Formula, as follows:

A = P(1 + rt), where:

A = Final amount

P = Principal

r = Annual interest rate

t = Time in years

224 = P (1 + 0.12t)

224 = 1.12Pt

Pt = 224/1.12

Pt = 200

If P = 200, then t = 1

Step 3: Let's interpret the answer and the problem we just wrote.

What is the amount of principal and the time of deposit for a savings account that earns 12% annually, and shows a final balance of $ 224?

Answer: $ 200 and the period of time is 1 year.

Therefore, in order to find out the distance from station b to the fire, we must use the sine formula, as we know that sine is the opposite side divided by the hypotenuse.

We want to find out the opposite side and we already have the hypotenuse that is 12 miles.

So:

Therefore, station B i 09.456 miles from the fire.

Answer:

B is correct.

Step-by-step explanation:

[tex] \frac{5.96 \times {10}^{4} }{2.98 \times {10}^{3} } = 2 \times 10 = 20[/tex]

We have that an inverse variation can be represented by the following equation:

In this case we have the ordered pair (8,6), then, we have the following constant of variation:

therefore, the constant of variation is k = 48

Given:

The graph for height and width.

Required:

What is the value of the constant in the equation?

Explanation:

From graph, we can evaluate respective values in equation and can get value of constant as:

Answer:

The value of constant equals 3.2

We can use Pythagoras theorem:

Where H=hypotenuse and "a" and "b" are the other sides of the triangule.

In the current problem, we have:

H = 1.7, a = 0.8, b=?

Then:

hello

solve for a

step 1

add 3b to both sides of the equation

reason; we're doing this so that we take -3b to the other side of the equation so the we can have a and it's coefficient on one side of the equation

or we can simply say take -3b to the other side of the equation in order to make it easy to equate a

but note that whenever a variable or real number crosses an equality or inequality sign, the sign changes from either positve (+ve) to negative (-ve) or negative (-ve) to positive (+ve).

in this case, -3b

now we have our equation almost set

step 2

divide both sides by 8 to solve for a

Answer:

23x-3

Step-by-step explanation:

5x+2+8x-11+4x+3+3+2x+4x Got this from adding the area around the field

5x+8x+4x+2x+4x+2-11+3+3 I grouped like-terms

23x+2-11+3+3 I added like-terms

23x-3 Then I got

Answer:m = (y – y1)/ (x – x1)

⇒ y – y1 = m(x – x1)….(i)

Step-by-step explanation: