URGENT!! PLEASE help and don’t link files!!!



Find Surface Area of triangular shown.
(If you can please explain, thank you!!)

URGENT!! PLEASE Help And Dont Link Files!!! Find Surface Area Of Triangular Shown.(If You Can Please

Answers

Answer 1

Answer:336cm cube

Step-by-step explanation:

12x4x7 i think im  justlearning this to


Related Questions

last question 100 pts pleasee

Answers

Sum of two interiors =Exterior

Use simple way

Angle beside x

180-(30+14)180-44136

Measure of x

180-13644°

Answer:

x = 44°

Step-by-step explanation:

According to the Exterior Angle Theorem of a triangle, the external angle is equal to the sum of the two interior opposite angles of a triangle.  

This is because the interior angles of a triangle sum to 180° and angles on a straight line sum to 180°.

⇒ x = ∠CAB + ∠BCA

⇒ x = 14° + 30°

⇒ x = 44°

Proof

Interior angles of a triangle sum to 180°

⇒ ∠CAB + ∠ABC + ∠BCA = 180°

⇒ 14° + ∠ABC + 30° = 180°

⇒ ∠ABC = 180° - 14° - 30°

⇒ ∠ABC = 136°

Angles on a straight line sum to 180°

⇒ ∠ABC + x = 180°

⇒ 136° + x = 180°

⇒ x = 180° - 136°

⇒ x = 44°

A right rectangular prism has a length of 12 ft, width of 5 1/2 ft, and height of 10 1/2 ft. What is the volume of the prism? Enter the answer in the box.

Answers

Answer: The answer is: 693 ft^3 or 693ft cubed

4.

Find the area of the shaded region.


A. 5x2 + 16x – 21

B. 7x2 + 28x + 27

C. 5x2 + 28x + 27

D. 5x2 + 28x + 21

Answers

Answer:

yay

Step-by-step explanation:

yayyayyayyayyayyyayyayayayyayaya

Answer:

D. 5x2 + 28x + 21

Step-by-step explanation:

First you want to find the area of the white rectangle

Then find the area of the beings rectangle

Then subtract beings minus white.

                                     Sorry it’s +21. The first answer in your list

                                      then thats correct

...............................................................................................................................................

5x^2+28x+21 confirmed from Cortez himself

please help me it would help a lot please <33

Answers

Answer:

11

Step-by-step explanation:

first u 90 minus 67 equals 23

and if u times 11 by 4 equal 44

minus 21 equals 23 which would make the equation true

hope this helped

I NEED HELP REALLY FAST AND EXPLAIN HOW YOU SOLVED IT PLEASE

Answers

Answer:

C

Step-by-step explanation:

All you do is take the number choices and plug it into the equation. For example if you take A and plug it in the equation would look like -5(-5) < 25 and -5 times -5 is 25 so you know 25 is equal to 25 not less than.

If you plug in C you get -5(-4) < 25 and -5 times -4 is 20 and 20 is indeed less than 25

Assume that C(x) is in dollars and x is the number of units produced and sold. For the total cost function C(x)=0.01x + 0.4x + 50, find AC and C'(x) when x = 90 and Ax=1 AC =$ 1 (Simplify your answer. Type an integer or decimal rounded to two decimal places as needed.) c'(x) when x = 90 is $ . (Type an integer or a decimal.)

Answers

The average cost AC when x = 90 is $1, and the derivative C'(x) when x = 90 is $0.41.

The average cost function AC and the derivative of the total cost function C'(x) can be found using the given total cost function C(x) = 0.01x + 0.4x + 50, where x represents the number of units produced and sold.

To find the average cost AC, we divide the total cost C(x) by the quantity x:

AC = C(x) / x

Substituting the given total cost function C(x) = 0.01x + 0.4x + 50, we have:

AC = (0.01x + 0.4x + 50) / x

Simplifying, we get:

AC = (0.41x + 50) / x

When x = 90, we substitute this value into the equation:

AC = (0.41 * 90 + 50) / 90

AC = (36.9 + 50) / 90

AC = 86.9 / 90

AC ≈ $0.97 ≈ $1 (rounded to two decimal places)

To find the derivative C'(x), we differentiate the total cost function C(x) with respect to x:

C'(x) = d/dx (0.01x + 0.4x + 50)

C'(x) = 0.01 + 0.4

C'(x) = 0.41

When x = 90, we substitute this value into the equation:

C'(90) = 0.41

Therefore, the derivative C'(x) when x = 90 is $0.41.

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Solve d/4+7/8=6

What is d?

Answers

Answer:

the answer is d=20.5 hope this helped

Answer:

d= 20.5

Step-by-step explanation:

d/4+7/8=6

(we know that to add fractions, we have to have both denomiators the same number. We aslo know that that means 8. Using that information, we know that to top number must be 48. 48/8 = 6. We can substract)

48-7= 41

(we then need to divide by 2 as we would have had to already multiplyed 4 by 2.)

41/2 = 20.5

A statue casts a shadow that is 9 ft long. A boy that is 4 ft tall casts a shadow that is 6 ft long. How tall is the statue?

Answers

Answer:

6 feet tall.

Step-by-step explanation:

The boy is 4 ft tall, but he casts a 6 ft long shadow. You need to find how long a shadow would be if a person/thing was just 1 ft tall.

To do this, you would need to divide 4 by 4, and 6 by 4 as well.

6/4 is 1.5, or 1 and a half.

If a person (or a thing) is 1 foot tall, the statue will cast 1 and a half feet long shadow.

The statue casts a 9 ft long shadow.

Since we already figured out 1 ft = 1 and 1/2 ft shadow, and since the statue casts a 9 foot long shadow, you need to divide 9 by 1.5.

(You'll get 6.)

This means that the statue is 6 feet tall, and it casts a 9 foot long shadow.

Given the ellipse (x-8)² (y + 1)² 1. 16 4 what are the vertices and co-vertices of the ellipse? Select the correct answer below: The vertices are (12, -1) and (4, -1). The co-vertices are (8, 1) and (8, -3). The vertices are (8, 1) and (8, -3). The co-vertices are (12, -1) and (4, -1). The vertices are (8, 3) and (8,-5). The co-vertices are (10, -1) and (6, -1). O The vertices are (10, -1) and (6, -1). The co-vertices are (8, 3) and (8,-5). +

Answers

The vertices of the ellipse are (12, -1) and (4, -1), and the co-vertices are (8, 1) and (8, -3).

To find the vertices and co-vertices of the given ellipse, we can use the equation of an ellipse in standard form:

((x-h)²/a²) + ((y-k)²/b²) = 1

Comparing this with the given equation ((x-8)²/(16)) + ((y+1)²/(4)) = 1, we can identify the values of h, k, a, and b.

From the equation, we can see that the center of the ellipse is at (h, k) = (8, -1). The value of a is the square root of the denominator of the x-term, which is 4, so a = 4. Similarly, the value of b is the square root of the denominator of the y-term, which is 2, so b = 2.

The vertices of the ellipse are located at a distance of a units from the center along the major axis, which is the x-axis. Therefore, the vertices are (8+a, -1) and (8-a, -1), which simplifies to (12, -1) and (4, -1).

The co-vertices of the ellipse are located at a distance of b units from the center along the minor axis, which is the y-axis. Therefore, the co-vertices are (8, -1+b) and (8, -1-b), which simplifies to (8, 1) and (8, -3).

Hence, the correct answer is: The vertices are (12, -1) and (4, -1). The co-vertices are (8, 1) and (8, -3).

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Which of the following has the greatest value.

Answers

Answer:

A.

Step-by-step explanation:

The first question equals 729 and it is the highest, I reccomend using photomath.

Which data set is the most clustered around its mean?
A.4, 10, 8, 6
B.11, 3, 10, 4
C.2, 9 ,13, 4
D.11, 2, 9, 6

Answers

The data set is the most clustered around its mean is

A.4, 10, 8, 6

How to find the data

To determine which data set is the most clustered around its mean, we can calculate the mean and the standard deviation for each data set.

calculate the mean and standard deviation for each data set

Data Set A: 4, 10, 8, 6

Mean: (4 + 10 + 8 + 6) / 4 = 28 / 4 = 7

Standard Deviation: √[(4-7)^2 + (10-7)^2 + (8-7)^2 + (6-7)^2] / 4 ≈ 1.58

Data Set B: 11, 3, 10, 4

Mean: (11 + 3 + 10 + 4) / 4 = 28 / 4 = 7

Standard Deviation: √[(11-7)^2 + (3-7)^2 + (10-7)^2 + (4-7)^2] / 4 ≈ 3.87

Data Set C: 2, 9, 13, 4

Mean: (2 + 9 + 13 + 4) / 4 = 28 / 4 = 7

Standard Deviation: √[(2-7)^2 + (9-7)^2 + (13-7)^2 + (4-7)^2] / 4 ≈ 4.27

Data Set D: 11, 2, 9, 6

Mean: (11 + 2 + 9 + 6) / 4 = 28 / 4 = 7

Standard Deviation: √[(11-7)^2 + (2-7)^2 + (9-7)^2 + (6-7)^2] / 4 ≈ 3.27

Comparing the standard deviations, we find that data set A has the smallest standard deviation of approximately 1.58. this indicates that the data points in Data Set A are the closest to the mean, making it the most clustered around its mean.

Therefore, the answer is A. 4, 10, 8, 6.

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What is the radius of a circle with a diameter of 240 mm?
A) 76.43 mm
B) 480.00 mm
C)12.00 mm
D) 120.00 mm

Answers

The radius of a circle is half of its diameter so the radius of a circle with a diameter of 240 mm is 120.00 mm. Option D is the correct answer.

To find the radius of a circle with a given diameter, you can follow these steps:

Given that the diameter is 240 mm, divide it by 2 to obtain the radius. Recall that the radius is half the length of the diameter.

Radius = Diameter / 2

In this case, Radius = 240 mm / 2 = 120 mm.

Therefore, the radius of the circle with a diameter of 240 mm is 120.00 mm.

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Together donkey and Shrek can make 7 cupcakes in 12 mins. Shrek can make 2 cupcakes in 8 mins. How long will it take Donkey to make 3 cupcakes

Answers

multiply 7 x 12 which is 84, 8x2 is 16, 16 divded by 3 is 5, so 5 minutes

consider the points p such that the distance from p to as21, 5, 3d is twice the distance from p to bs6, 2, 22d. show that the set of all such points is a sphere, and find its center and radius.

Answers

The center of the sphere can be found by taking the average of the coordinates of points A and B, and the radius of the sphere is half the distance between points A and B.

Let's denote point A as (2, 1, 5) and point B as (6, 2, 22). We want to find the set of points P such that the distance from P to A is twice the distance from P to B.

We can express this condition mathematically as:

|PA| = 2|PB|

Using the distance formula, we can rewrite this equation as:

[tex]\sqrt{(x - 2)^2+ (y - 1)^2 + (z - 5)^2} = 2\sqrt{(x - 6)^2 + (y - 2)^2 + (z - 22)^2}[/tex]

Simplifying the equation, we have:

[tex](x - 2)^2 + (y - 1)^2 + (z - 5)^2 = 4((x - 6)^2 + (y - 2)^2 + (z - 22)^2)[/tex]

Expanding and combining like terms, we get:

[tex]3x^2 + 3y^2 + 3z^2 - 28x - 10y - 96z = 273[/tex]

This equation represents the equation of a sphere. The center of the sphere can be found by taking the average of the coordinates of points A and B, which gives us the center (4, 1.5, 13.5). The radius of the sphere is half the distance between points A and B, which is the square root of 273 divided by 2.

Therefore, the set of all points satisfying the given condition is a sphere with center (4, 1.5, 13.5) and radius √(273/2).

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Suppose you bought a sofa for a tota purchase price of $1,254.07. State taxes were 7%. What was the amount or the sales tax?

Answers

The amount of sales tax is $87.79.

Given a total purchase price of a sofa as $1,254.07 and state taxes of 7%.

We are required to calculate the amount of sales tax.

The amount of sales tax can be calculated by multiplying the purchase price by the sales tax rate.

Let's represent the sales tax rate by `r`.

Therefore, the sales tax formula is expressed as:

Sales tax = r * purchase price

In this case, the rate of the sales tax `r` is 7%.

Therefore, we have:r = 7% = 0.07

Now we substitute the values given into the formula:

Sales tax = 0.07 * $1,254.07= $87.79

Therefore, the amount of sales tax is $87.79.

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You believe the population is normally distributed and you know the standard deviation is σ = 5.2. You obtain a sample mean of M = 78.5 for a sample of size n = 64.
What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic= p-value=
What is the p-value for this sample? (Report answer accurate to four decimal places.)

Answers

The z-score table shows that for a z-score of 15.1, the p-value is approximately zero (p < 0.0001). Hence, the p-value for this sample is p < 0.0001.

Given that the population is normally distributed and the standard deviation is σ = 5.2.

A sample of size n = 64 is obtained with the sample mean of M = 78.5.

Test statistic = (Sample mean - population mean) / (Standard error of the mean) = (78.5 - µ) / (σ /√n)

Where µ = population mean = 0σ = 5.2n = 64.

The formula for the standard error of the mean is; σM = σ/√n = 5.2/√64 = 0.65.

Substituting in the test statistic equation,

Test statistic = (78.5 - 0) / 0.65 = 121.54.

P-value is the probability of obtaining the observed sample mean or a more extreme value from the null hypothesis.

Assuming a significance level of α = 0.05 and the null hypothesis H0: µ = 0 (Population mean), we can obtain the p-value from the z-score table.z-score = (sample mean - population mean) / standard deviation = (78.5 - 0) / 5.2 = 15.1

The z-score table shows that for a z-score of 15.1, the p-value is approximately zero (p < 0.0001).Hence, the p-value for this sample is p < 0.0001.

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Decide whether it is possible for a triangle to have the three angle measures or three side lengths given.
If it is possible, then decide whether all such triangles are congruent.

Answers

Answer:

Step-by-step explanation:

the first one cant be a triangle

im pretty sure the second one can

the third one can

im pretty sure the fourth one cant

What does this mean and how do I do it

Answers

Answer:

Step-by-step explanation:

The degree of f(x) is 0.

Its leading coefficient is 13 and the type is constant. Because the function is constant,

f(x = 13 when x --> -∞ and

f(x) = 13  when x --> ∞ .

(How? Because I'm smart like that!! :D)

Find the eigenvalues and the corresponding eigenspaces for the matrix -2 0 1 1 0 -1 0 1 - 1 Here the characteristic polynomial should be cubic. You may use a calculator or Wolfram Alpha to factor the characteristic polynomial if you wish.

Answers

The eigenvalues of the matrix -2 0 1 1 0 -1 0 1 -1 are λ₁ = -1, λ₂ = 1, and λ₃ = -1. The corresponding eigenspaces are E₁ = span{[-1, 1, 0]}, E₂ = span{[1, 1, 1]}, and E₃ = span{[-1, 1, 2]}.

Eigenvalues and eigenvectors play a fundamental role in linear algebra, particularly in the study of matrices.

The eigenvalues of a matrix are the values λ for which the equation A = λ has nontrivial solutions, where A is the given matrix and is a non-zero vector. The eigenspace associated with an eigenvalue is the set of all eigenvectors corresponding to that eigenvalue.

To find the eigenvalues of the matrix -2 0 1 1 0 -1 0 1 -1, we need to solve the characteristic equation det(A - λI) = 0, where A is the given matrix, λ is an eigenvalue, and I is the identity matrix.

The characteristic equation in this case is (-2 - λ)(λ² + 1) + (1 - λ)(-1) = 0. Simplifying this equation yields λ³ - 2λ² - 2 = 0. This is a cubic equation, and we can use a calculator or Wolfram Alpha to find its roots, which are λ₁ = -1, λ₂ = 1, and λ₃ = -1.

Once we have the eigenvalues, we can find the corresponding eigenvectors by solving the equation (A - λ) = 0 for each eigenvalue.

For λ₁ = -1, solving (A + ) = 0 gives us the eigenvector [-1, 1, 0]. For λ₂ = 1, solving (A - ) = 0 gives us the eigenvector [1, 1, 1].

Finally, for λ₃ = -1, solving (A + ) = 0 gives us the eigenvector [-1, 1, 2]. These eigenvectors span the eigenspaces E₁, E₂, and E₃, respectively.

In summary, the eigenvalues of the matrix -2 0 1 1 0 -1 0 1 -1 are λ₁ = -1, λ₂ = 1, and λ₃ = -1. The corresponding eigenspaces are E₁ = span{[-1, 1, 0]}, E₂ = span{[1, 1, 1]}, and E₃ = span{[-1, 1, 2]}.

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Round to the nearest tenth, if necessary.

Answers

Answer:

what are we rounding? like what is your question?

Step-by-step explanation:

**if you answer you have my promise and i'll go back and provide an actual answer**

Recall that, fixed a set U (which we call the universe of discourse), we have certain operations on subsets of U so that, for all A, B, C CU the following equivalences and equalities hold. >> AC BUC, ABCC CCA⇒B >> CnACB, A" = A, (AUB)* = A*n B', (An B)* = A*UB*. ACB →B'CA, You can answer just one of the following parts, not both. You can support your answer with drawings of Venn diagrams, but you need to give an argument according to the specifications for full credit. (a) Prove that for any given sets A, BCU, we have that B\A= (AB)* using only the above equations and equivalences. (Hint: Notice that two sets X, Y CU are equal if and only if, for every CCU, we have XCC YCC.) (b) Prove that for any given sets A, BCU, we have that B* A* = (AB)* using the definitions of the operations (). \, and in terms of the elements of U, A, and B.

Answers

(a) To prove that B\A = (AB)* using only the above equations and equivalences, we need to show that B\A is equivalent to (AB)*.

First, we will show that B\A is a subset of (AB)*.

Let x be an element of B\A. Then, x is in B and x is not in A. Therefore, x is in AB and not in A. This means that x is in (AB)*. Thus, we have shown that B\A is a subset of (AB)*.

Next, we will show that (AB)* is a subset of B\A.

Let x be an element of (AB)*. Then, x is in AB or x is not in AB.

If x is in AB, then x is in B and x is in A. Therefore, x is not in B\A.

If x is not in AB, then x is not in A or x is not in B. Therefore, x is not in A and x is in B. This means that x is in B\A.

Thus, we have shown that (AB)* is a subset of B\A.

Since we have shown that B\A is a subset of (AB)* and (AB)* is a subset of B\A, we can conclude that B\A = (AB)*.

(b) To prove that B* A* = (AB)*, we need to show that B* A* is a subset of (AB)* and (AB)* is a subset of B* A*.

First, we will show that B* A* is a subset of (AB)*.

Let x be an element of B* A*. Then, x is in (B*) and x is in (A*).

If x is in B*, then x is in B or x is not in B.

If x is in A*, then x is in A or x is not in A.

If x is in B and x is in A, then x is in AB.

If x is not in B and x is not in A, then x is not in AB.

If x is in B and x is not in A, then x is in B\A.

If x is not in B and x is in A, then x is in A\B.

Therefore, we have shown that x is in (AB)*.

Next

A family of 10 purchased tickets to the county fair. Tickets for adults cost $6 and tickets for children cost $3. If the total cost of the tickets was $42, how many family members were adults and children?

Answers

The family members were 3 adults and 2 children.

We have given that the,

A family of 10 purchased tickets to the county fair.

Tickets for adults cost $6 and tickets for children cost $3

Total cost is $42.

We have to determine how many family members were adults and children

What is the next step from the given condition?

(3 x 10) + (2 x 6)

30+12=42

Therefore we get 3 adults and 2 children.

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Can I get help with number 14

Answers

Answer:

A

Step-by-step explanation:

-y = -2x+5

y = 2x-5

3x+2(2x-5)= -3

The mean is _____ than the median, which in turn is _____ the mode, in a unimodal skewed right distribution.

a. less, greater than or equal to

b. less, less than

c. greater, less than

d. greater, greater than or equal to

Answers

The mean is greater than the median, which in turn is less than the mode, in a unimodal skewed right distribution. Therefore, option c) is the correct answer.

The terms mean, median, and mode are commonly used in statistics to measure the central tendency of a set of

values or a dataset.  The mean is calculated by dividing the sum of all the numbers in a dataset by the total number of

items in the dataset. The mean is the average of the dataset. The median is the middle number in a dataset when the

data is arranged in ascending or descending order. Half of the values are higher than the median, and half are lower.

The mode is the value that appears most frequently in a dataset. If there are two values that occur with the same

frequency, the dataset is referred to as bimodal, and if there are more than two values that occur with the same

frequency, the dataset is referred to as multimodal. In a unimodal skewed right distribution, the mean is greater than

the median, which in turn is less than the mode. Therefore, the correct answer is option c) greater, less than.

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What number could replace t below?
\dfrac{1}{3} = \dfrac{2}{t}
3
1

=
t
2

Answers

Answer:

If you go to this link it'll give you a whole explanation and walk   how to get your answer:

https://www.khanacademy.org/math/arithmetic/fraction-arithmetic/arith-review-visualizing-equiv-frac/a/equivalent-fractions-common-denominator-review

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

Meg used this table to track the average attendance from month to month at her theater for five months. A 5-column table with 1 row is titled Percent Increase and Decrease. Column 1 is labeled October with entry negative 1. Column 2 is labeled November with entry 0.5. Column 3 is labeled December with entry negative 0.9. Column 4 is labeled January with entries three-fourths. Column 5 is labeled February with entry one-half. A number line going from negative 1 to positive 1 in increments of 0.25. Graph the numbers on the number line. Choose the inequality symbol that makes each comparison true. Nov. Feb. Oct. Dec. Jan. Nov.

Answers

Answer:

B - Her monthly average would have increased by $19.57. ... Katie works as a waitress and records her monthly tips in the table shown below. If Katie decided not to work the month of November, how would her five month average compare to her six month ... Lisa is currently taking physics as one of her electives in school.

Step-by-step explanation:

Answer:

Nov. ✔ = Feb.

Oct. ✔ < Dec.

Jan. ✔ > Nov.

Step-by-step explanation:

Edge 2022

- Which is the inverse or the funcion f(x)=x²-16?​

Answers

Given:

The function is:

[tex]f(x)=x^2-16[/tex]

To find:

The inverse of the function.

Solution:

We have,

[tex]f(x)=x^2-16[/tex]

Step 1: Substitute [tex]f(x)=y[/tex].

[tex]y=x^2-16[/tex]

Step 2: Interchange x and y.

[tex]x=y^2-16[/tex]

Step 3: Isolate y.

[tex]x+16=y^2[/tex]

[tex]\pm \sqrt{x+16}=y[/tex]

[tex]y=\pm \sqrt{x+16}[/tex]

Step 4: Substitute [tex]y=f^{-1}(x)[/tex].

[tex]f^{-1}(x)=\pm \sqrt{x+16}[/tex]

Therefore, the inverse function of the given function is [tex]f^{-1}(x)=\pm \sqrt{x+16}[/tex].

what is the distance between (5, 1), (5.-6)

Answers

The distance would be 7 units

Use complete sentences to describe the domain of the consine function.

Answers

can you provide a picture ?? or some sort of context

Answer:

The domain of a function is the set of the possible input values of the function. For example: consider the function f(x) = cos x, the domain of the function is the set of possible values of x.

The cosine function takes x values from all real numbers.

Therefore, the domain of the cosine function is a real numbers.

Step-by-step explanation:

2
John, 25, just started contributing to his employer's 401(k) plan and started an IRA account. He is choosing to invest only in bonds and secure
Investments instead of high-risk stocks. Is John pursuing a wise investment strategy?
Select the best answer from the choices provided.
O A Yes; retirement Income should be protected from turmoil in the stock market.
OB. Yes; as john gets closer to retirement, he can switch to higher yielding stocks.
OC. No; young investors can afford more risk since they have time to recover from any sudden loses.
OD
No; bonds and safe investments are not part of good retirement plans.

Answers

Answer:

I think its C

Step-by-step explanation:

Other Questions
Which of the following is true about both stock splits and stock dividends? both have no impact on shareholder wealth both are a prescribed percentage at declaration both are designed to place shares in a trading range both divide firm equity into more pieces all of the answers shown are true of both stock splits and stock dividends Which of these is not a factor influencing dividend policy? changing tax laws flotation costs investment opportunities contraints on dividends capital availability Can someone please help me find the sum of each interior angle measure of the polygon, and can you please explain. I need help on both of these questions. find the total service area of this cone. leave your answer in terms of pi. r=10in h=24in Find the slope and y - i intercept of the line y = 4/3 * x - 3 . True or False?When rainfall increases, the water level in the lake goes up. Rainfall is the independent variable in this situation. (4 points) True FalseQuestion 2 (4 points)(07.07)Diana can earn money for the tickets she sells. Which of the following statements describes the variables in this situation correctly? (4 points) aThe amount of money earned is the independent variable because it affects the number of tickets sold. bThe amount of money earned is the dependent variable because it affects the number of tickets sold. cThe number of tickets sold is the independent variable because it affects the amount of money earned. dThe number of tickets sold is the dependent variable because it affects the amount of money earned.Question 3 (4 points)(07.07)Calvin's plane is flying at a speed of 600 miles per hour. If y represents the distance the plane has traveled and z represents the time it has spent traveling, which of the following equations shows the relationship between y and z? (4 points) ay = 600 + z bz = 600 + y cz = 600y dy = 600zQuestion 4 (4 points)(07.07)It costs $3.56 to buy a pack of pencils. Which of the following equations shows the amount of money needed, x, to buy k packs of pencils? (4 points) ax = 3.56k bk = 3.56x cx = 3.56 + k dk = 3.56 + xQuestion 5 (4 points)(07.07)Christina built a small hot air balloon and recorded the distance it traveled. The table below shows the vertical distance traveled (v) during the first 4 seconds after starting (s).Elapsed Time(seconds) Distance Traveled(feet)1 1.22 2.43 3.64 4.8Which of the following equations represents the relationship between the distance traveled and the elapsed time? (4 points) av = 1.2s bs = 1.2v cv = 1.2 + s ds = 1.2 + v One liter of gas A at 1.0 atm pressure has a temperature of 25C while the same volume and pressure of gas B has a temperature of 50C. What else do you know about these two gases? A) There are twice as many moles of gas B than gas A. B) Gas A has twice the molar mass of gas B. C) Gas A has more kinetic energy than gas B. D) Gas B has more kinetic energy than gas A. Assume that the economy of Wineville is a large producer of grapes, wine and wine bottles. Originally, its economy was in the position where its actual GDP equalled its potential GDP. However, there was a sudden and large increase in the demand for grapes, wine and wine bottles in Wineville from Winevilles neighbouring country, Boozeland. The president of Wineville, Mr Chardonnay was pleased. a) Using the aggregate demand and aggregate supply model illustrate and explain the short-run impact of an increase in the demand for grapes, wine and wine bottles from Boozeland on Winevilles economy. b) After the increase in demand what type of output gap is the economy of Wineville experiencing and what would you expect to have happened to unemployment? c) If Mr Chardonnay or the Central Bank of Wineville (Bank of Wineville Society, BWS for short) does not intervene in the economy after the increase in demand for grapes, wine and wine bottles, illustrate and explain the long-run impact of this using the aggregate demand and aggregate supply model on a new diagram. d) Explain why this long-run impact may be problematic? e) If the workers in Wineville face a perfectly competitive labour market, illustrate and explain the impact of an increase in the level of immigration to Wineville from workers in Boozeland on Winevilles labour market. Please Solve this question. whoever answers my question gets 10 points with heart and brainlist (if there's two answers) Thank you. And please don't guess :D 1. How can effective Police leadership be shown or indicated? find the slope of the line: Call Center Staffing at Vacations Inc.Vacations Inc. (VI) markets time-share condominiums throughout North America. One way the company generates sales leads is by offering a chance to win a free minivacation to anyone who fills out an information card and places it in boxes VI has distributed at various restaurants and shopping malls. All those who fill out the card and indicate an adequate income level subsequently receive a letter from VI indicating they have indeed won the mini-vacation. To claim their prize, all the "winner" needs to do is call VIs toll-free number. When the "winner" calls the number, they learn that their mini-vacation consists of a free dinner, entertainment, and two-night stay at one of VIs time-share properties, but they must agree to sit through a two-hour property tour and sales presentation.About half the people who call VIs toll-free number to claim their prize wind up rejecting the offer after they learn about the two-hour property tour. About 40% of those who call accept the mini-vacation and do the property tour but dont buy anything. The remaining 10% of those who call the toll-free number accept the mini-vacation and ultimately purchase a time-share. Each mini-vacation that VI awards costs the company about $250. Each sale of a time-share generates a net profit of $7,000 for VI after all commissions and other costs (including the $250 for the buyers mini-vacation) have been paid.VIs call center operates from 10 a.m. to 10 p.m. daily with four sales representatives and receives calls at a rate of 50 per hour following a Poisson distribution. It takes an average of four minutes to handle each call with actual times being exponentially distributed. The phone system VI uses can keep up to 10 callers on hold at any time. Assume those who receive a busy signal dont call back.a. On average, how many customers per hour does each sales person process?b. What is the expected value of each call to VIs toll-free line?c. Suppose VI pays its phone reps $12 per hour. How many phone reps should it employ if it wants to maximize profit? (Related to Checkpoint 4.1) (Liquidity analysis) Airspot Motors, Inc. has $2,470,800 in current assets and $852,000 in current liabilities. The company's managers want to increase the firm's inventory Grasp the individual's right hand at the base of the thumb with your right hand. Cup your hand over the individual's fingers, tucking under those fingers not being printed. Guide the finger being printed with your left hand. When reading the passage above it would be appropriate to pause ________________. a. whenever there is a period c. between "under those" and "fingers" b. never d. between "Guide" and "the" The circular fountain in front of the park hasa diameter of 14 feet. What is thecircumference of the fountain?A.43.98 ftB.87.96 ftC-21.99 ftD-153.94 ft Find the mean of the following set of numbers. 23, 34, 57, 68, 89 Read the phrases and match each one of them with the shopping place. What is the purpose of the numerical list in thedocument?summarize the purpose of the textdescribe the tools required to cut the materialsO provide a step-by-step guide for completing theproceduredraw the reader's attention to the materials neededaperuper Maria's fish tank has 17 liters of water in it. She plans to add 5 liters per minute until the tank has more than 52 liters. What are thepossible numbers of minutes Maria could add water?Use t for the number of minutes.Write your answer as an inequality solved for t. Find the volume of this triangular pyramid. A corn farmer will tend to expand his output as long as the price of corn exceeds aversge variabke cost and: a) marginal cost is smaller than the market priceb) marginal revenue is larger than the market price of corn c) marginal revenue is positived) marginal revenue is kess than the market price of corn