help y’all!! it’s gradpoint!! this is the last question & i’ve failed this test so many times :(

(L2) An inscribed circle is one that encompasses a polygon so that it passes by each of the polygon's vertices.

A circumcircle, not an inscribed circle, is a circle that encircles a polygon at each vertex. A circle that is enclosed within a polygon and intersects each side of the polygon exactly once is said to be inscribed. A circumcircle, on the other hand, is a circle that goes through every vertex of the polygon, with its center located at the point where the perpendicular bisectors of the polygon's sides converge. The greatest circle that can be drawn within a polygon is the circumcircle, while the largest circle that can be drawn inside a triangle is the inscribed circle.

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Step-by-step explanation:

\(4 \times \frac{3}{4} (x + 8) > 4 \times \frac{1}{2} (2x + 10) \\ 3( x + 8) > 2(2x + 10) \\ 3x + 24 > 4x + 20 \\ 4 > x \)

so ans is :

(4,∞)

Answer:

(–∞, 4)

Step-by-step explanation:

Answer:

10 inches

Step-by-step explanation:

Given

Shape: Isosceles Triangle

\(Perimeter=24\ in\)

\(Side = 4\ in\)

Required

Find the length of the other two sides

Represent the other sides with x.

Since it is an isosceles triangle, 2 sides are equal.

So, we have:

\(x + x + 4 = 24\)

\(2x + 4 = 24\)

Collect Like Terms

\(2x = 24-4\)

\(2x = 20\)

Divide both sides by 2

\(\frac{2x}{2} = \frac{20}{2}\)

\(x = \frac{20}{2}\)

\(x = 10\)

The other sides are 10in each

Answer:

$ 1137.28

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

Option A is the correct answer.

For an experiment involving 2 Levels of factor A and 3 levels of factor B with a sample of n = 5 in each treatment condition, we need to calculate the value for df within treatments.

The formula to calculate df within treatments is given by, df within treatments = (A - 1) (B - 1) (n - 1)Where, A = Levels of factor AB = Levels of factor Bn = Sample size= 2 levels of factor A= 3 levels of factor B= 5 in each treatment conditionNow, df within treatments = (A - 1) (B - 1) (n - 1)= (2 - 1) (3 - 1) (5 - 1)= 1 × 2 × 4= 8Hence, the value of df within treatments is 8.

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To determine when the particle is moving fastest and its speed at that moment, we need additional information about the particle's motion.

Please provide the relevant equations or description of the particle's motion, such as its position, velocity, or acceleration as functions of time.

With this information, we can analyze the particle's motion and find the time interval during which it moves fastest. The speed of the particle can be calculated as the magnitude of its velocity vector.

Please provide the necessary details regarding the particle's motion, and I'll be happy to assist you further in determining when it is moving fastest and its speed at that moment.

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Answer:

x = 1 and y = 1

Step-by-step explanation:

Let's solve your system by substitution.

4x + 5y = 9 ; 4x − 2y = 2

- Solve 4x + 5y = 9 for x:

4x + 5y = 9

4x + 5y + − 5y = 9 + − 5y (Add -5y to both sides)

4x = − 5y + 9

\(\frac{4}{x} = \frac{- 5y + 9}{4}\)

\(x = \frac{- 5}{4} y + \frac{9}{4}\)  

Then Substitute \(\frac{- 5}{4} y + \frac{9}{4}\)  for x in 4x - 2y = 2

4x − 2y = 2

4(\(\frac{- 5}{4} y + \frac{9}{4}\)) − 2y = 2

− 7y + 9 = 2 (Simplify both sides of the equation)

− 7y + 9 + − 9 = 2 + − 9 (Add -9 to both sides)

− 7y = − 7

\(\frac{- 7y}{- 7} = \frac{- 7}{- 7}\)  (Divide both sides by -7)

y = 1

Substitute 1 for y in x = \(\frac{- 5}{4} y + \frac{9}{4}\)

\(x = \frac{- 5}{4} y + \frac{9}{4}\)

\(x = \frac{- 5}{4} (1) + \frac{9}{4}\)

x = 1

So, x = 1 and y = 1

Answer:

use -9 to multiply the first equation

use -4 to multiply the second equation.

Step-by-step explanation:

5x-4y=28.....eqn (1)×-9

3x-9y=30....eqn(2)×-4

-45x+36y=-252

-(-12x+36y=-120)

therefore, -33x÷33 =-132÷-33

x=4.

substitute (x=4) in any of the equation. I'm just going to use eqn 1.

5x-4y=28

5(4)-4y=28

20-4y=28

-4y =28-20

-4y÷-4 = 8÷-4

y=-2

so, x=4, y=-2

Note: for proof of answers substitute the answers for x and y and see if you have the same result...e.g

5(4)-4(-2)=28.

Answer:

The first equation should be multiplied by 9 and the second equation by −4.

Step-by-step explanation:

Answer:

(1.06)0 = 1  and positive powers of 1.06 are larger than 1, thus the minimum value N(t) attains, if t≥0, is 400.

From the point of view of the context, a CD account grows in value over time so with a deposit of $400 the value will never drop to $399.

The mode can indicate the most frequently occurring values in a data set, it may not be the most suitable measure of central tendency for continuous data like math test scores. Considering other measures like the mean or the median would provide a more informative representation of the data.

To determine if the mode is a good measure of central tendency for the given data set, we need to understand the characteristics of the data and the purpose of using a measure of central tendency.

The mode is the value that appears most frequently in a data set. It can be a useful measure of central tendency when dealing with categorical or discrete data, where identifying the most common category or value is meaningful. However, for continuous data, such as math test scores in this case, the mode may not always provide a comprehensive representation of the data.

In the given data set of math test scores for 20 students, there are multiple values that occur with the same highest frequency, such as 100, 90, and 85, each appearing three times. Therefore, we have multiple modes in this data set. While the mode can tell us which scores are most common, it does not provide information about the overall distribution of the scores or the spread of the data.

For this reason, in this particular scenario, the mode alone may not be the best measure of central tendency. It would be more appropriate to consider other measures, such as the mean or the median, which can provide a more comprehensive understanding of the data set by considering the average score or the middle score, respectively.

In summary, while the mode can indicate the most frequently occurring values in a data set, it may not be the most suitable measure of central tendency for continuous data like math test scores. Considering other measures like the mean or the median would provide a more informative representation of the data.

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Answer:

3240°

Step-by-step explanation:

The equation to find the sum of the measures of the interior angles of a figure is:

(n-2)*180

Where n represents the amount of sides the figure has. In this case the figure has 20 sides so its interior angles sum up to:

(20-2)*180=18*180=3240°

Answer:

\( \displaystyle WY = 24\)

Step-by-step explanation:

refer the attachment

remember that,

the diagonals of Parallelogram bisect each other so WA=AY

thus our equation is

\( \displaystyle {x}^{2} - 24 = 2x\)

move left hand side expression to right hand side and change its sign:

\( \displaystyle {x}^{2} - 2x - 24 =0\)

rewrite 2x and 4x-6x:

\( \displaystyle {x}^{2} + 4x -6x - 24 =0\)

factor out x:

\( \displaystyle x ({x}^{} + 4) -6x - 24 =0\)

factor out -6:

\( \displaystyle x ({x}^{} + 4) -6(x + 4) =0\)

group:

\( \displaystyle ({x}^{} + 4) (x - 6) =0\)

recall that,

When the product of factors equals 0 then at least one factor is 0 so

\( \displaystyle \begin{cases} {x}^{} + 4 = 0 \\ x - 6 =0 \end{cases}\)

\( \displaystyle \begin{cases} {x}^{} = - 4\\ x =6 \end{cases}\)

since the length cannot be negative negative x isn't available

therefore

\( \displaystyle \therefore x = 6\)

since WA and AY are the part of WY we acquire:

\( \displaystyle WY = {x}^{2} - 24 + 2x\)

substitute the got value of x:

\( \displaystyle WY = {6}^{2} - 24 + 2.6\)

simplify square:

\( \displaystyle WY = 36 - 24 + 2.6\)

simplify multiplication:

\( \displaystyle WY = 36 - 24 + 12\)

simplify addition:

\( \displaystyle WY = 48- 24\)

simplify substraction:

\( \displaystyle WY = 24\)

hence,

\( \displaystyle WY = 24\)

Diagonals bisect each other

Take it positive

Now

To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.

To find a quadratic equation with the y-intercept and vertex, we can follow these steps:

For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:

3 = a(0)^2 + b(0) + c

1 = a(-2)^2 + b(-2) + c

Simplifying these equations, we get:

c = 3

4a - 2b + c = 1

By substituting c = 3 into the second equation, we can solve for a and b:

4a - 2b + 3 = 1

4a - 2b = -2

2a - b = -1

By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:

y = x^2 + x + 3

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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.

Example:

Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).

To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.

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The area of the triangle is 4.5 square unit.

We have, y= 4x/ (1 + x³)

Now, differentiating the above equation wrt to x we get

y' = 4(1 + x³)- 4x . 3x² / (1+ x³)²

y'= -8x³ + 4/ (1+x³)²

When x = 1 then y' = -4/4 = -1

so, y -2 = -1 (x-1)

y= -x+ 3

Here the x intercept is (3, 0) and y intercept is (0, 3).

so, Area of Triangle is

= 1/2 x 3 x 3

= 9/2

= 4.5 square unit

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The matrix can be diagonalized, and the correct choice is B. For P= ⎡⎣​3−110​11​⎤⎦, D= ⎡⎣​393​000​⎤⎦.

To diagonalize a matrix, we need to find its eigenvectors and use them to construct a matrix P, where the columns of P are the eigenvectors. The diagonal matrix D is formed by placing the eigenvalues on the diagonal.

First, we find the eigenvalues λ by solving the characteristic equation det(A - λI) = 0, where A is the given matrix and I is the identity matrix. By calculating the determinant, we have (33 - λ)(9 - λ) - (-3)(18) = 0, which simplifies to λ^2 - 42λ + 315 = 0. Solving this quadratic equation gives λ = 3 and λ = 9.

Next, we find the corresponding eigenvectors. For λ = 3, we solve the equation (A - 3I)v = 0, where v is the eigenvector. This leads to the eigenvector v = ⎡⎣​3−110​⎤⎦. For λ = 9, we solve (A - 9I)v = 0, which gives v = ⎡⎣​11​1​⎤⎦.

We construct matrix P by using the eigenvectors as columns: P = ⎡⎣​3−110​11​⎤⎦. The diagonal matrix D is formed by placing the eigenvalues on the diagonal: D = ⎡⎣​393​000​⎤⎦.

Therefore, the correct choice is B. For P= ⎡⎣​3−110​11​⎤⎦, D= ⎡⎣​393​000​⎤⎦.

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The cash flow to stockholders for 1998 is -$4 million.

To calculate the cash flow to stockholders for 1998, follow these steps:

Identify the dividends paid: Brandy's Candies paid $23 million in dividends during 1998.

Determine the net common stock repurchases: Brandy's Candies made net common stock repurchases of $27 million during 1998.

Subtract the net common stock repurchases from the dividends paid: $23 million - $27 million = -$4 million.

The resulting cash flow to stockholders for 1998 is -$4 million, indicating a net outflow of cash from stockholders.

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Answer:

40 comic books

Step-by-step explanation:

36-16=20

20×2=40

Answer:

angle measurements of 35, 35, and 110°  

angle measurements of 40°, 60°, and 80°

Have a nice day! :)

To express the equation x^2(y - 9)^2 = 81 in polar coordinates, we need to substitute the polar coordinate representations for x and y.

In polar coordinates, we have:

x = r*cos(θ)

y = r*sin(θ)

Substituting these values into the given equation:

x^2(y - 9)^2 = 81

(r*cos(θ))^2((r*sin(θ)) - 9)^2 = 81

Simplifying the equation:

r^2*cos^2(θ)((r*sin(θ)) - 9)^2 = 81

r^2*cos^2(θ)(r*sin(θ) - 9)^2 = 81

Now, we can convert the equation to polar coordinates by replacing x with r*cos(θ) and y with r*sin(θ):

(r^2*cos^2(θ)(r*sin(θ) - 9)^2 = 81

This is the equation of the curve in polar coordinates.

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Answer:

B. x=7

Step-by-step explanation:

(2x+5) = (x+12)

2x = x+7

x=7

Answer:

x = 45

Step-by-step explanation:

The angles labeled with the pink x are the same.  Line V and Line X are parallel and alternate interior angles are equal when the lines are parallel.

We know the 3 angles inside the triangle and the sum of the angles of a triangle are 180

x+x+ 2x = 180

4x= 180

4x/4 = 180/4

x = 45

Answer:

12.5 km/h

Step-by-step explanation:

If the automobile is traveling 50 km/h and reaches the snowplow in 30 minutes, that means the snowplow traveled 25 km in 2 hours.

Set the equation as 25/2 = 12.5 km/h

Hope this helps.

Good luck!!

Answer:

Volume of a pyramid =3Base Area×Height

Answer:

Yes because it is a terminating decimal.

Step-by-step explanation:

Answer:

x (Falafel) = $5.50

y (Turkey BLT) = $7.50

z (Paninis) = $6.00

Step-by-step explanation:

Step 1: Write out systems of equations

5x + 15y + 20z = 260

8x + 18y + 14z = 263

12x + 16y + 12z = 258

There are multiple ways to solve for this systems of equations. I will use an augmented matrix for this:

Top row: [5 15 20 | 260]

Middle row: [8 18 14 | 263}

Bottom row: [12 16 12 | 258]

We find RREF form of the augmented matrix to find our answers:

Top row: [1 0 0 | 11/2]

Middle row: [0 1 0 | 15/2]

Bottom row: [0 0 1 | 6]

And we have our answer!

Answer:

The falafel wrap costs $5.50, the turkey BLT costs $7.50, and the ham and swiss panini costs $6.00

Step-by-step explanation:

Let us first write a system of equations to write equations to represent each of the situations. Let the variables were

f=cost of falafel wrap

t=cost of Turkey BLT

h=cost of ham and swiss panini

5f+15t+20h=260

8f+18t+14h=263

12f+16t+12h=258

Next, we will solve these system of equations.

-8/5(5f+15t+20h=260)

multiply equation by -8/5

-8f-24t-32h=-416 multiply

8f+18t+14h=263 add to another equation to remove a variable

-6t-18h=-153

-12/8(8f+18t+14h=263) repeat procedure for another equation

-12f-27t-21h=-394.5 multiply

12f+16t+12h=258 combine with another equation

-11t-9h=-136.5

-2(-11t-9h=-136.5) repeat again by multiplying by -2

22t+18h=273

-6t-18h=-153 combine the two equations

16t=120

t=7.5

Now we can replace the value of t into the previous equation to find the cost of the ham and swiss panini

22(7.5)+18h=273

165+18h=273

18h=108

h=6

Now that we have the cost of two sandwiches, we can find the cost of the falafel wrap by substituting the costs of the sandwiches into the equation.

5f+15(7.5)+20(6)=260

5f+112.5+120=260

5f+232.5=260

5f=27.5

f=5.5

Therefore the falafel wrap costs $5.50, the turkey BLT costs $7.50, and the ham and swiss panini costs $6.00

Answer:

CAN U MAKE IT MORE CLEARLY I CANT SEE

Step-by-step explanation:

Answer: 1 page

I don't get where to put the number but I tried... Sorry...

Answer: 2 page

1. B

2. D

3. O

4. H

5. C

6. F

7. (-3,-2)

8. (1,-6)

9. (8,0)

10. (7,8)

11. (-8,0)

12. (5,5)

For the rest of the 2nd page, I did it in color... That is the link to the answer to coloring...

1. The values which the given number sentences true are:

a) 11 b) 5 c) 36

2. After substituting the value of  x we get the value for y as :

a) 6 b) 0 c) 7 d) 15

3. The number sentences are :

a) x ₋ y = 25

b) 5 × p = q ÷ 2

c) 2y ₋ 14 = 6

d) 15 × 4 = 4 ₋ (x₊y)

Given in the first bit we need to find the variables:

a) h ₊ 8 = 19

arrange the constants on one side.

h = 19 ₋ 8

h = 11

b) 2p ₋ 6 = 4

arrange the constants on one side.

2p = 4 ₊ 6

2p = 10

p = 10/2

p = 5

c) 1/3 y = 12

cross multiply.

y = 36

Now in the second exercise we are asked to substitute the x value and get the value of y.

a) y = 3x ₊ 2 if x =8

substitute x value in the equation.

y = 3(8) ₊ 2

y = 24 ₊ 2

y = 26

b) y = 4x ₋ 1 if  x = 1/4

y = 4(1/4) ₋ 1

y = 1 ₋ 1

y = 0

c) y = 0.2x ₊ 5 if x = 10

y = 0.2(10) ₊ 5

y = 2 ₊ 5

y = 7

d) y = 10x ₊ 12 if x = 0.3

y = 10(0.3) ₊ 12

y = 3 ₊ 12

y = 15

In the last third bit we need to frame equations for the given word problems.

a) The difference between two numbers is 25.

let the two numbers be x and y.

x ₋ y = 25.

b) The product of 5 and p is equal to quotient of q and 2.

5 × p = q ÷ 2

c) The difference between 14 and 2y is equal to 6.

2y ₋ 14 = 6

d) The product of 15 and 4 is equal to four less than the sum of x and y.

15 × 4 = 4 ₋ (x₊y)

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The maximum performance is 74.8 and it occurs at a stress level of 11.

The model p(x) = -0.2x² + 4.4x + 31.6 is used to predict performance on a task, p, where x represents stress level.

To determine the maximum performance and the stress level at which it occurs, we need to use the formula: x = -b/2a, where a = -0.2 and b = 4.4.

The stress level at which maximum performance occurs is

x = -b/2a.

Therefore, substituting the given values for a and b into the formula,

x = -4.4/(2 x -0.2) = 11

The maximum performance is obtained by substituting x = 11 into the model p(x):

p(11) = -0.2(11)² + 4.4(11) + 31.6 = 74.8

Therefore, the maximum performance is 74.8 and it occurs at a stress level of 11.

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