What is the image point of (4, -12) after the transformation rx-axis o D 1/4?
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The perimeter of the shaded region is 8π cm and the area of the shaded region is 32(π - 2) cm² or 36.53 square cm.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have shown a square in which a one-fourth circle is shown and making an ellipse.

The perimeter of the circle = 2πr = 2π(8) = 16π cm

The perimeter of the one-fourth is circle = (16π)/4 = 4π cm

The perimeter of 2 one-fourth circle = 2(4π) = 8π cm

The area of the one-fourth circle = (1/4)πr² = (1/4)π(8)² = 16π square cm

The area of the right-angle triangle = (1/2)(8)(8) = 32 square cm

The area of the shaded region = 2(16π - 32) = 36.53 square cm

or

= 32(π - 2)cm²

Thus, the perimeter of the shaded region is 8π cm and the area of the shaded region is 32(π - 2) cm² or 36.53 square cm.

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Answer:

1:7

Step-by-step explanation:

There was originally 28 students. Since 4 of them are gone. There are 24 students.
the ratio of students to markers is now:

24:168

Now you have to simplify it by finding the lowest common denominator:

24 and 168 both share 1 so:

24/24 = 1, 168/24 = 7

1:7

Therefore, for every student on that day, there is 7 markers

7 markers per student

Answer:

2sqr3, the first option

Step-by-step explanation:

The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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Answer:

Step-by-step explanation:

36/100=0.36 - 1%

8*0.36=2.88$

Answer:

what brand

Step-by-step explanation:

Answer:

0.32

Step-by-step explanation:

Given that:

The sample size of the population = 63

The sample mean = 3.7

The sample standard deviation = 0.32

Thus, the point estimate for the population variance of the diameter of the cans is said to be the standard deviation of the population = 0.32

Suppose the variance (S²) is given as 0.32

Then the standard deviation will be \(\sqrt{S^2}\)

=\(\sqrt{0.32}\)

= 0.57

Then, since the sample standard deviation is the point estimate, we would have had 0.57 as the answer.

The solutions of the system of equations are (-2, 1) and (-4, 5). The answer is D) (-4,5) and (-2,1).

What is equation ?

In mathematics, an equation is a statement that two expressions are equal. It typically contains one or more variables, which are unknowns that can take on different values. An equation is written using an equal sign (=) to indicate that the expressions on either side have the same value.

To solve the system of equations y = -\((x+2) ^{2}\) + 1 and y = 2x + 5, we can set the two expressions for y equal to each other and solve for x:

-\((x+2) ^{2}\) + 1 = 2x + 5

Expanding the left side and simplifying, we get:

-x*x - 4x - 4 + 1 = 2x + 5

-x*x - 6x - 8 = 0

Dividing both sides by -1, we get:

x*x+ 6x + 8 = 0

Factoring the left side, we get:

(x+2)(x+4) = 0

So the solutions for x are x = -2 and x = -4.

To find the corresponding y-values for each solution, we can plug in each value of x into either equation and solve for y. Let's use the equation y = -\((x+2) ^{2}\)+ 1:

When x = -2, y = -\((x+2) ^{2}\) + 1 = -(0) + 1 = 1.

When x = -4, y =-\((x+2) ^{2}\)+ 1 = -(-4) + 1 = 5.

Therefore, the solutions of the system of equations are (-2, 1) and (-4, 5).

The answer is D) (-4,5) and (-2,1).

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Answer:

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

Step-by-step explanation:

If you graph the system on desmos and graph the points you will see that those are the points that give a solution to the system

I hope that the attachment helps you..

Answer:

(a) A(w) = w(950-2w) = 950w-2w^2

(b) w = 237.5

(c) A = 112812.5

Step-by-step explanation:

First of all the maximum area is always a square. You can get the answer first to check your work later.

950/4 = 237.5

One side is not needed so add that length to the non-parallel side.

237.5+237.5=475 feet is the length and 237.5 feet is the width(s)

A=475*237.5

A=112812.5 square feet

Doing the algebra...

P=l+2w

950=l+2w

950-2w=l

A=lw

A=(950-2w)w

A=950w-2w^2

Answer

Linear equations

Step-by-step explanation:

that’s what they look like linear equations are how you graph a line

The formula is y=Mx+b

The M is the slope which is how many times u move up or down, and  left or right on the line. In this case its 5 you would move up 5 and right 1

With negative slope, for example -5 you would move either up 5 left 1 or down 5 right 1.

The B is the y-intercept which is when x is equal to 0 in your case its 1 for the first problem and -1 for the second problem

that’s kinda all to know about linear equations for now!

The angles that we have in the image here are:

When two angles are measured, they sum up to 180. They are said to be supplementary angles.

On the question, we have two angles that are 90 degrees on a straight line. Hence they are supplementary.

This is an angle that is at 90 degrees. We have to two right angles on the diagram that we have here.

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The probability is P = 0.135

First, we need to find the individual probabilities, that are given by the quotient between the number of outcomes that meet the condition and the total number of outcomes.

The joint probability is given by the product between the individual probabilities, so we get:

P = (1/2)*(3/6)*(28/52) = 0.135

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The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.

To find the present value of an annuity, we can use the formula:

PV = PMT * (1 - (1 + r)^(-n)) / r

Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.

In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.

Plugging in these values into the formula, we get:

PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05

Simplifying the equation, we find:

PV ≈ 200 * (1 - 0.12198) / 0.05

PV ≈ 200 * 0.87802 / 0.05

PV ≈ 35160.4 / 0.05

PV ≈ 7032.08

Therefore, the present value of the annuity is approximately `7032.08.

None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.

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Notice that the prism has three rectangular sides and two triangular sides.

Then, if we unfold the faces, we would get the following shape:

Answer:

y = 90\(\sqrt{2}\)

Step-by-step explanation:

using the sine ratio in the right triangle and the exact value

sin45° = \(\frac{1}{\sqrt{2} }\) , then using the 45° angle on the lower left

sin45° = \(\frac{opposite}{hypotenuse}\) = \(\frac{90}{y}\) = \(\frac{1}{\sqrt{2} }\) ( cross- multiply )

y = 90\(\sqrt{2}\)

Answer:

X = 7

Step-by-step explanation:

If you look you can see that the middle line has 6 and 3.

3 is half of 6 right?

So this means that 3.5 is half of whatever x is.

Just multiply 3.5 by 2 to find x.

(3.5)(2) = x

x = 7

Therefore, x is equal to 7.

I hope this helps!!

- Kay :)

Answer:

3.39x=y

Step-by-step explanation:

This is because the 'y' part is supposed to be the answer for how much the gallons of gasoline would be.

The 'x' part of the equation represents how much gallons of gasoline you got and you can treat it as a normal number.

Pretend that x is 2 and so you are to find out how much 2 gallons of gasoline costs and to work this out you would do this: 3.39 x 2.

You just basically treat x as a normal number like so and it would look like:

3.39 x x=3.39x

Answer:

18 I believe

Step-by-step explanation:

The given statement about inequality is true.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

The statement is true ''Pick a point on one side of the solid or dashed line and enter its coordinates into the original inequality to determine which side of a linear inequality to colour in for its graph. On that side of the plane, you should shade if the coordinates satisfy the inequality''.

The statement defines how to write an inequality the meaning of inequality is that one part of the inequality will be shaded by some colour indicating that the region is falling under the area of inequality.

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Answer:

X》55

Step-by-step explanation:

hope it helps u

have a great day!!

Answer:

Linear

Step-by-step explanation:

This is linear because using the data you have provided we can work out that the equation is y= -5x+27

y= mx+ c (c is the gradient)

This equation shows that the line is straight (also shown in the picture) and therefore must make it a linear graph.

For the graph to be non linear, the graph would be curved but this would mean the equation would have to be a quadratic - which it isn't.

Hope this helps!

Answer:

The answer is 16

Step-by-step explanation:

Answer:

a) The equation   \(\frac{40}{100} x = 35\)

b)   x = 87.5

Step-by-step explanation:

Given that 40%of x is 35

we have to write the equation

         \(\frac{40}{100} x = 35\)

cross multiplication, we get

      40x = 35× 100

         \(x = \frac{3500}{40} = 87.5\)

33,200 sq units (option A)

Surface area of triangular prism = base × height + length ×perimeter of triangle

base = j = 150 units

height = h = 40 units

length = k = 85 units

m = 85 units

Perimeter of triangle = j + m + m

Perimeter of triangle = 150 + 85 + 85 = 320 units

Surface area of triangular prism = 150(40) + 85(320)

Surface area of triangular prism = 6000 + 27200

Surface area of triangular prism = 33,200 sq units (option A)

Answer:

y = x - 1

Step-by-step explanation:

Answer:

The common ratio is 1/3.

Step-by-step explanation:

900 × 1/3 = 300

300 × 1/3 = 100

100 × 1/3 = 100/3 = 33 1/3

100/3 × 1/3 = 100/9 = 11 1/9

100/9 × 1/3 = 100/27 = 3 19/27

The total medical expenses for the five people in the car are $3,000 + $3*$500 + $62,000 = $3,000 + $1,500 + $62,000 = $66,500

What does a math word problem entail?

A math word problem is a question that is written as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world." In order for kids to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.

Since Allen's personal injury protection policy covers each person up to $50,000, the insurance company must pay out $50,000*5 = $250,000 for the five people in the car.

Since the total medical expenses for the five people are $66,500, the insurance company will pay out the total medical expenses for the five people, which is $66,500.

Therefore, the insurance company must pay out $66,500 for these five people.

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