Describe the effect that each transformation
below has on the function (x)= x\,
where a > 0.
g(x) = |x-a|
h(x) = |x|-a

Describe The Effect That Each Transformationbelow Has On The Function (x)= X\,where A > 0.g(x) = |x-a|h(x)

Answers

Answer 1

Graph of g(x) translated right direction and h(x) translated downwards direction with respect to f(x).

The given functions are;

f(x) = |x| where a > 0

g(x) = |x-a|

h(x) = |x|-a

Plot the graph of f(x)

We get vertex point (0, 0)

Now plot the graph of g(x) = |x-a|

This graph is translated towards right direction by a unit with respect to f(x)

Now plot the graph of h(x) = |x|-a

This graph is translated downwards with respect to f(x) by a unit.

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Related Questions

Salazar made an investment in 140 shares of stock in a no-load fund for $2,993.20. after one year the stock had a net asset value of $24.53 per share. if salazar redeems all 140 shares, which of the following is a correct statement? a. salazar will have a loss of $441. b. salazar will have a profit of $441. c. salazar will have a profit of $3,434.20. d. there is not enough information to calculate profit or loss.

Answers

Salazar will have a profit of $441 if they redeem all 140 shares(B).

Salazar's initial investment of $2,993.20 for 140 shares means that the purchase price per share was $2,993.20/140 = $21.38. After one year, the net asset value per share has increased to $24.53, so the value of Salazar's 140 shares is 140 x $24.53 = $3,435.40.

To calculate the profit or loss, we need to subtract the initial investment from the current value, which gives a profit of $3,435.40 - $2,993.20 = $442.20.

However, we need to take into account any fees or expenses associated with redeeming the shares. Since the question states that it is a no-load fund, we can assume that there are no fees, and thus Salazar's profit is $441(B).

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A math teacher gave her class two tests. The results were 42 percent of the class passed the first test and 50 percent of the class passed thesecond test. Also, 60 percent of the students in the class who passed the first test passed the second test. What percentage of the class passed both tests? Are the events the class passed the first test and the class passed the second test independent? (1 point)


A) A total of 30 percent passed both tests. The events are independent.


B) A total of 25. 2 percent passed both tests. The events are independent.


C) A total of 25. 2 percent passed both tests. The events are not independent.


D) A total of 30 percent passed both tests. The events are not independent.

Answers

The answer is option C) A total of 25.2 percent passed both tests. The events are not independent.

To solve this problem, we can use a Venn diagram. Let P(A) be the probability of passing the first test, P(B) be the probability of passing the second test, and P(A and B) be the probability of passing both tests.

From the problem, we know:

P(A) = 0.42

P(B) = 0.50

P(B | A) = 0.60 (the probability of passing the second test given that the student passed the first test)

We can use the formula P(B | A) = P(A and B) / P(A) to find P(A and B):

0.60 = P(A and B) / 0.42

P(A and B) = 0.60 x 0.42

P(A and B) = 0.252

Therefore, 25.2% of the class passed both tests.

To determine if the events are independent, we can compare P(B) to P(B | A). If they are equal, the events are independent. If they are not equal, the events are dependent.

P(B) = 0.50

P(B | A) = 0.60

Since P(B) is not equal to P(B | A), the events are dependent.

Therefore, the answer is option C) A total of 25.2 percent passed both tests. The events are not independent.

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the Senators 118 more games than they lost they played 78 games. how many games did they win?​

Answers

The Number of games lost cannot be negative .

The number of games the Senators won as "W." According to the given information, the Senators won 118 more games than they lost. This can be expressed as:

W = L + 118,

where "L" represents the number of games the Senators lost.

the Senators played a total of 78 games, which means the number of games they won and lost combined should equal 78:

W + L = 78.

Substituting the first equation into the second equation, we have:

(L + 118) + L = 78,

2L + 118 = 78,

2L = 78 - 118,

2L = -40,

L = -40/2,

L = -20.

Since the number of games lost cannot be negative.

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Ginny's family traveled
3
10
of the distance to her aunt’s house on Saturday. They traveled
3
7
of the remaining distance on Sunday. What fraction of the total distance to her aunt’s house was traveled on Sunday?

Answers

Ginny's family traveled 3/10 of the total distance to her aunt's house on Sunday.

What fraction of the total distance was traveled on Sunday?

Let's say the total distance to Ginny's aunt's house is represented by the fraction 1.

On Saturday, Ginny's family traveled 3/10 of the distance, leaving 7/10 of the distance remaining.

Then, on Sunday, they traveled 3/7 of the remaining distance.

To find out what fraction of the total distance was traveled on Sunday, we need to multiply the distance traveled on Saturday and Sunday and divide by the total distance:

So, we have

Fraction = 3/7 * 7/10

Evaluate

Fraction = 3/10

Therefore, Ginny's family traveled 3/10 of the total distance to her aunt's house on Sunday.

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WORK OUT THE SIZE OF AN EXTERIOR ANGLE OF A REGULAR HEXAGON

Answers

Answer:

60°

Step-by-step explanation:

A hexagon has 6 angles

The sum of the measures of the exterior angles of a hexagon is equal to 360°

So, measure of each exterior angle = 360∘ / 6 = 60∘

Find the length of PQ.
Assume that lines which appear tangent are tangent.

Answers

Applying the secant-tangent theorem, the length of PQ is calculated as: 6 units.

How to Find the Length Using the Secant-Tangent Theorem?

In the image given, line segment QS is a secant while QP is a tangent. This, according to the secant-tangent theorem, we have:

(x - 3)(x - 3 + 5) = (x - 1)²

(x - 3)(x + 2) = (x - 1)(x - 1)

Expand:

x² - x - 6 = x² - 2x + 1

Combine like terms:

x² - x² - x + 2x = 6 + 1

x = 7

length of PQ = x - 1

Plug in the value of x:

length of PQ = 7 - 1 = 6 units.

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salvador recorded in this list the heights in millimeters of each of his bean plants.


52, 46, 51, 32,50


which 2 inequalities best describe, h, the plant heights in millimeters?


h < 32, h > 52


h> 32, h < 52


h < 46, h > 52


h < 46, h > 52

Answers

The two inequalities that best describe the plant heights in millimeters are: h > 32 and h < 52. This is because all the recorded heights fall within this range. The other options do not include all the recorded heights or include heights that are not recorded.


To find the best inequalities that describe the plant heights (h) in millimeters, we need to determine the minimum and maximum heights from the given list.

List of plant heights: 52, 46, 51, 32, 50

Minimum height: 32 mm
Maximum height: 52 mm

Now we can write the inequalities that best describe the plant heights:

h > 32 (heights are greater than 32 mm)
h < 52 (heights are less than 52 mm)

Your answer: h > 32, h < 52

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Consider the following.g(x) = 2e−x + ln x; h(x) = 9x2.5Find the derivative for f(x) = g(x) · h(x).f '(x) =

Answers

This is the derivative of f(x) with respect to x:

f'(x) = (-2e^(-x) + 1/x)·(9x^2.5) + (2e^(-x) + ln(x))·(22.5x^1.5)

To find the derivative of f(x) = g(x) · h(x), we'll use the product rule, which states that (u·v)' = u'·v + u·v'. Let u = g(x) and v = h(x).

u = g(x) = 2e^(-x) + ln(x)
v = h(x) = 9x^2.5

Now, find the derivatives of u and v:

u' = g'(x) = -2e^(-x) + 1/x
v' = h'(x) = 22.5x^1.5

Now apply the product rule:

f'(x) = u'·v + u·v'
f'(x) = (-2e^(-x) + 1/x)·(9x^2.5) + (2e^(-x) + ln(x))·(22.5x^1.5)

This is the derivative of f(x) with respect to x.

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A vehicle has a mass of 1295 kg and uses petrol. Another vehicle has a mass of 1290 kg and uses diesel fuel, 1L of petrol has a mass of 737g and 1L of diesel has a mass of 820g. How many litres of fuel will result in the two vehicles having the same mass? Round to the nearest tenth of a litre.​

Answers

Answer:

Another vehicle has a mass of 1290 kg and uses diesel fuel. 1 L of petrol has a mass of 737 g. 1L of diesel has a mass of 820g.

Two random samples 4. 49, 7. 68, 5. 97, 0. 97, 6. 88, 6. 07, 03. 08, 04. 02, 03. 83, 6. 35, and 4. 59, 3. 39, 3. 79, 6. 89, 5. 07, 07. 41, 0. 44, 2. 47, 4. 80, 7. 23 were obtained independently from distributions with the same mean. Perform a permutation test to test the hypothesis that the variability in both populations is the same against the alternative that it is larger in the second population. As a test statistic use: (i) The difference of sample ranges. (ii) The ratio of sample variances. (iii) Compare both results

Answers

A. Main Answer:

The hypothesis that the variability in both populations is the same against the alternative that it is larger in the second population, we can perform a permutation test using two different test statistics:

(i) the difference of sample ranges and

(ii) the ratio of sample variances. By comparing the results of both test statistics, we can draw conclusions about the variability in the populations.

(i) Difference of Sample Ranges:

1. Calculate the sample range for each sample. The sample range is the difference between the maximum and minimum values in the sample.

  Sample 1 Range = Maximum value - Minimum value for Sample 1

  Sample 2 Range = Maximum value - Minimum value for Sample 2

2. Calculate the observed difference of sample ranges, which is the difference between the sample range of Sample 2 and Sample 1.

3. Pool the data from both samples and shuffle them randomly, keeping the same sample sizes.

4. Calculate the difference of sample ranges for the shuffled data.

5. Repeat steps 3 and 4 many times (e.g., 1000 permutations) to obtain a distribution of the difference of sample ranges under the null hypothesis (where variability is the same in both populations).

6. Compare the observed difference of sample ranges from step 2 with the distribution obtained from the permutations.

(ii) Ratio of Sample Variances:

1. Calculate the sample variance for each sample.

2. Calculate the observed ratio of sample variances, which is the ratio of the sample variance of Sample 2 to the sample variance of Sample 1.

3. Pool the data from both samples and shuffle them randomly, keeping the same sample sizes.

4. Calculate the ratio of sample variances for the shuffled data.

5. Repeat steps 3 and 4 many times (e.g., 1000 permutations) to obtain a distribution of the ratio of sample variances under the null hypothesis.

6. Compare the observed ratio of sample variances from step 2 with the distribution obtained from the permutations.

By comparing the results of both test statistics, we can assess whether the variability in the second population is significantly larger than the first population. If both test statistics consistently indicate larger variability in the second population, it provides evidence against the null hypothesis and suggests that the variability in the second population is indeed larger.

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Please help! This is part of my grade, please make sure to read the question before answering because I need this to be correct (35 points)

Answers

Answer:

  u = -2.34  or  u = 18.34

Step-by-step explanation:

You want to solve u² -16u = 43 by completing the square.

Completing the square

To complete the square, add the square of half the coefficient of the linear term to both sides.

  u² -16u +(-16/2)² = 43 +(-16/2)²

  u² -16u +64 = 107 . . . . . . . simplify

  (u -8)² = 107 . . . . . . . . . write as a square

  u -8 = ±√107 . . . . . . square root

  u = 8 ± √107  . . . add 8

  u = -2.34  or  u = 18.34 . . . . . find the decimal values

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Tim can paint a room for 6 hours. Bella can paint the same room for 4 hour. How many hours would it take Tim and Bella to paint the room while working together?

Answers

Tim and Bella working together can paint the room in 2.4 hours.

We can use the formula:

1/Total Work = 1/Time1 + 1/Time2

where Total Work is the work to be done (in this case, painting the room), Time1 is the time taken by Tim to complete the work, and Time2 is the time taken by Bella to complete the work.

Let x be the time taken by Tim and Bella working together to complete the work. Then we can write:

1/1x = 1/6 + 1/4

Simplifying this equation, we get:

1/1x = 5/12

Multiplying both sides by x, we get:

x = 12/5 = 2.4 hours.

Therefore, Tim and Bella working together can paint the room in 2.4 hours.

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Last year at a certain high school, there were 124 boys on the honor roll and 125 girls on the honor roll. This year, the number of boys on the honor roll decreased by 25% and the number of girls on the honor roll decreased by 20%. By what percentage did the total number of students on the honor roll decrease? Round your answer to the nearest tenth (if necessary).

Answers

Answer:

22.5%

Step-by-step explanation:

Last year, there were 124 boys and 125 girls, meaning 249 total.

This year, if boys decreased by 25%:

[tex]0.25 * 124 = 31.[/tex]

A decrease of 31 boys.

If girls decreased by 20%:

[tex]0.2 * 125 = 25.[/tex]

A decrease of 25 girls.

If there was a total decrease of 56 students from last year to this year, the total decrease is:

[tex]56/249*100=22.5.[/tex]

A decrease of 22.5%.

Three questions in this section. Answer all questions in this section on OnQ. You do not need to submit solutions to questions in this section. Question 1 (1 point) Suppose the point (0, -1) is a critical point of the function f(x,y) = x3 + y3 – 6x2 – 3y – 5. - Which one of the following statements is true? The point (0, -1) is a global maximum of f(x, y) The point (0, -1) is a local minimum of f(x, y) The point (0, -1) is a local maximum of f(x, y) The point (0, -1)is a saddle point of f(x, y)

Answers

The point (0, -1) is a saddle point of f(x, y).
To determine the nature of the critical point (0, -1) for the function f(x, y) = x^3 + y^3 - 6x^2 - 3y - 5, we need to use the second partial derivative test. First, we compute the second partial derivatives:

f_xx = 6x - 12
f_yy = 6y
f_xy = f_yx = 0

Now, evaluate these at the critical point (0, -1):

f_xx(0, -1) = -12
f_yy(0, -1) = -6
f_xy(0, -1) = 0

Calculate the determinant D = f_xx * f_yy - f_xy^2:

D = (-12) * (-6) - 0^2 = 72

Since D > 0 and f_xx < 0 at the critical point, we can conclude that (0, -1) is a local maximum of f(x, y).

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I need to find the equation?

Answers

To determine the person who made the best kick, you could use an equation that relates distance, speed, and height: distance = speed × time.

How to determine the person with the best kick

To determine the person with the best kick, it is vital that a correlation be drawn between the distance and height. In the absence of information about time, the person with the farthest distance and longest height can be determined as the person with the best kick.

So, to get the result without having the complete data, you can compare the height to determine the individual with the farthest distance and highest kick.

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Jenny and Kera are playing a game. Jenny has -10 points and loses 5 more points. How many points does Jenny have now? Kera has 22 points and loses 14 points. How many points does Kera have now? Make sure that you type each name with her current score

Answers

The current scores of both Jenna and Kera in the game they were playing are

Jenny's current score is -15.

Kera's current score is 8.

How many points does Jenny have now?

In the given problem, we are given two players, Jenny and Kera, playing the game.

Jenny has -10 points, which means she already has negative points. He has since lost 5 more points. So his current score would be:

-10 - 5 = -15

So now Jenny has a score of -15.

Kera, meanwhile, has 22 points and 14 points to lose. So his current score would be:

22 - 14 = 8

So now Kera has 8 points.

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Create a bucket by rotating around the y axis the curve y = 4 ln(x - 4) from y = 0 to y = 3. If this bucket contains a liquid with density 860 kg/m filled to a height of 2 meters, find the work required to pump the liquid out of this bucket (over the top edge). Use 9.8 m/s2 for gravity. Work = Preview Joules License Points possible: 1 This is attempt 1 of 3.

Answers

The work required to pump the liquid out of the bucket is approximately 2.482 x 10⁷ Joules.

How to find the work required

To create a bucket by rotating around the y-axis, we will use the formula for volume of revolution:

V = π ∫[a,b] (f(y))² dy where f(y) is the function being rotated, and a and b are the limits of integration.

In this case, the limits of integration are y = 0 and y = 3, and the function being rotated is y = 4 ln(x - 4), or x = e⁽y/⁴⁾ + 4.

So, we have:

V = π ∫[0,3] ((e⁽y/⁴⁾ + 4))² dy

V = π ∫[0,3] (e⁽y/²⁾ + 8e⁽y/⁴⁾+ 16) dy

V = π (2e⁽³/²⁾ + 32e⁽³/⁴⁾ + 48)

Now, to find the work required to pump the liquid out of the bucket, we need to use the formula:

W = ∫[h1,h2] ρgV(y) dy

where h1 is the height of the liquid (2 meters in this case), h2 is the height of the top edge of the bucket, ρ is the density of the liquid (860 kg/m^3), g is the acceleration due to gravity (9.8 m/s²), and V(y) is the volume of the liquid at height y.

To find V(y), we need to first find the radius of the bucket at height y.

The radius is given by: r(y) = e⁽y/⁴⁾+ 4

So, the volume of the liquid at height y is:

V(y) = π(r(y))² (h2 - y)

Plugging in the values, we have:

W = ∫[0,2] 860×9.8×π((e⁽y/⁴ + 4)²)×(2-y) dy

W = 2.482 x 10⁷J

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CAN SOMEONE SHOW ME STEP BY STEP ON HOW TO DO THIS SOMEONE GAVE ME THE WRONG STEPS
A city just opened a new playground for children in the community. An image of the land that the playground is on is shown.

A polygon with a horizontal top side labeled 45 yards. The left vertical side is 20 yards. There is a dashed vertical line segment drawn from the right vertex of the top to the bottom right vertex. There is a dashed horizontal line from the bottom left vertex to the dashed vertical, leaving the length from that intersection to the bottom right vertex as 10 yards. There is another dashed horizontal line that comes from the vertex on the right that intersects the vertical dashed line, and it is labeled 12 yards.

What is the area of the playground?

900 square yards

855 square yards

1,710 square yards

1,305 square yards
Unlocked badge showing an astronaut’s boot touching down on the moon

Answers

The area of the playground include the following: 900 square yards.

How to calculate the area of a regular polygon?

In Mathematics and Geometry, the area of a regular polygon can be calculated by using this formula:

Area = (n × s × a)/2

Where:

n is the number of sides.s is the side length.a is the apothem.

In Mathematics and Geometry, the area of a parallelogram can be calculated by using the following formula:

Area of a parallelogram, A = base area × height

Area of playground, A = 45 × 20

Area of a playground, A = 900 square yards.

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Gross Monthly Income: Jackson works for a pipe line company and is paid $18. 50 per hour. Although he will have overtime, it is not guaranteed when or where, so Jackson will only build a budget on 40 hours per week. What is Jackson’s gross monthly income for 40 hours per week? Type in the correct dollar amount to the nearest cent. Do not include the dollar sign or letters.



A. Gross Annual Income: $



B. Gross Monthly Income: $

Answers

To find Jackson's gross monthly income for 40 hours per week, follow these steps:

1. Calculate his weekly income: Multiply his hourly wage ($18.50) by the number of hours he works each week (40 hours).
2. Calculate his monthly income: Multiply his weekly income by the number of weeks in a month (4 weeks).

A. Gross Annual Income: To find this, multiply his monthly income by 12 (the number of months in a year).
B. Gross Monthly Income: This is the answer we need to find.

Step-by-step calculations:
1. Weekly income = $18.50 * 40 hours = $740
2. Monthly income = $740 * 4 weeks = $2,960

A. Gross Annual Income: $2,960 * 12 = $35,520
B. Gross Monthly Income: $2,960

The answer:
A. Gross Annual Income: $35,520
B. Gross Monthly Income: $2,960

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Of the last 12 cakes sold at graces cakes,6 were carrot cakes. Find the experimental probability the next cake sold will be a carrot cake.in percentages.

Answers

Answer: 50
Explanation: The experimental probability of an event is defined as the ratio of the number of times the event occurs to the total number of trials or occurrences. In this case, the event is the sale of a carrot cake, and the total number of trials is the sale of the last 12 cakes.

Since 6 out of the last 12 cakes sold were carrot cakes, the experimental probability of the next cake sold being a carrot cake is:

Experimental probability = Number of times event occurred / Total number of trials
Experimental probability = 6 / 12
Experimental probability = 0.5

To express the experimental probability as a percentage, we can multiply it by 100:

Experimental probability as a percentage = 0.5 x 100
Experimental probability as a percentage = 50%

Therefore, the experimental probability that the next cake sold at Grace's Cakes will be a carrot cake is 50%.

A rectangle with length n is inscribed in a circle of radius 9. Find an expression for the area of the rectangle in terms of n

Answers

The expression for the area of the rectangle inscribed in a circle of radius 9, in terms of n, is:

Area = n * √(81 - n^2)

To find an expression for the area of a rectangle inscribed in a circle of radius 9, we need to use the terms "rectangle" and "circle."

First, let's denote the length of the rectangle as "n" and the width as "w." Since the rectangle is inscribed in a circle with a radius of 9, its diagonal is equal to the diameter of the circle, which is 2 * 9 = 18.

Using the Pythagorean theorem for the right triangle formed by half of the diagonal, the length, and the width, we can write the equation:

(1/2 * 18)^2 = n^2 + w^2
81 = n^2 + w^2

Now, we need to express w in terms of n. To do this, we'll isolate w from the equation:

w^2 = 81 - n^2
w = √(81 - n^2)

The area of the rectangle can be calculated as the product of its length and width:

Area = n * w
Area = n * √(81 - n^2)

So, the expression for the area of the rectangle inscribed in a circle of radius 9, in terms of n, is:

Area = n * √(81 - n^2)

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Find the limit of (7x3)/(4x2-2x+10) as x approaches infinity."

Answers

To find the limit of (7x3)/(4x2-2x+10) as x approaches infinity, we need to divide the highest power of x in the numerator and denominator, which is x3, by the highest power of x in the denominator, which is x2. This gives us: (7x3)/(4x2-2x+10) = (7/4)x

As x approaches infinity, the value of (7/4)x also approaches infinity. Therefore, the limit of (7x3)/(4x2-2x+10) as x approaches infinity is infinity.

To find the limit of (7x^3)/(4x^2-2x+10) as x approaches infinity, we'll first look at the highest powers of x in the numerator and denominator.

In this case, the highest power of x in the numerator is x^3, and in the denominator, it's x^2. Since the highest power of x in the numerator is greater than that in the denominator, the limit will go to infinity (or -infinity) depending on the coefficients of the highest powers.

For this function, the coefficients are positive (7 for x^3 and 4 for x^2), so the limit as x approaches infinity will be positive infinity.

Your answer: The limit of (7x^3)/(4x^2-2x+10) as x approaches infinity is positive infinity.

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Nine out of eleven people at a math convention are bored to tears by cable news. If 2462 people at the convention are not bored by cable news, then how many people at the convention are bored by cable news?

Answers

The number of people at the convention are bored by cable news are 11079

How many people at the convention are bored by cable news?

From the question, we have the following parameters that can be used in our computation:

Proportion = Nine out of eleven people at a math convention are bored to tears by cable news.

This means that

Proportion = 9/11

If 2462 people at the convention are not bored by cable news, then we have

(1 - 9/11) * x = 2462

This gives

x = 2462/(1 - 9/11)

Evaluate

x = 13541

Next, we have

Bored = 13541 - 2462

Bored = 11079

Hence, the number of people is 11079

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Mark invests $5,000 and earns $375 in simple interest over a 3 year period. What was the interest rate on the investment? answer is 2.5%

Answers

To find the interest rate for Mark's investment, we can use the formula:

Simple Interest = (Principal x Rate x Time)

where Principal is the amount invested, Rate is the interest rate, and Time is the duration of the investment.

We can plug in the given values to get:

375 = (5000 x Rate x 3)

Solving for Rate, we get:

Rate = 375 / (5000 x 3)
Rate = 0.025 or 2.5%

Therefore, the interest rate on Mark's investment was 2.5%
:)

During the period 2000-2016, the average costs B (in dollars) for a new boat and the average costs H (in dollars) for a hovercraft can be modeled


by the following functions:


B = 30 +140 and H=-1012 +350 + 400


where t is the number of years since 2000


(a) How can the difference of the costs of a hovercraft and the costs of a boat be expressed? (4 points)


(b) About how much was the difference in the year 2010? (2 points)

Answers

The difference between the costs of a hovercraft and a boat in the year 2010 was approximately $1,558.

(a) The difference in costs between a hovercraft and a boat can be expressed as follows:

Cost difference = Hovercraft cost - Boat cost

Cost difference = (-1012 + 350t + 400) - (30 + 140t)

Cost difference = -1012 + 350t + 400 - 30 - 140t

Cost difference = 220t - 642

Therefore, the difference in costs between a hovercraft and a boat can be expressed as 220t - 642.

(b) To find the difference in the year 2010, we need to substitute t = 10 in the expression we derived in part (a):

Cost difference = 220t - 642

Cost difference = 220(10) - 642

Cost difference = 2200 - 642

Cost difference = 1558

Therefore, the difference between the costs of a hovercraft and a boat in the year 2010 was approximately $1,558.

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Wes has 20 feet of garden fencing. If he
wants the smallest side of his garden
to be 3 feet or longer, what possible
rectangles can he make?

Answers

The possible rectangles that Wes can make with his 20 feet of fencing are:

L = 3, W = 7

L = 4, W = 6

L = 5, W = 5

L = 6, W = 4

L = 7, W = 3

How to find the possible rectangles?

Let L be the length of the rectangular garden and W be the width of the garden. Since the garden is enclosed by four sides, Wes will need 2L+2W feet of fencing to enclose it. We know that he has 20 feet of fencing, so we have the equation:

2L + 2W = 20

We also know that the smallest side of the garden should be 3 feet or longer, so:

L >= 3

W >= 3

To find the possible rectangles Wes can make, we can solve the equation for one variable in terms of the other:

2L + 2W = 20

2L = 20 - 2W

L = 10 - W

Now we can substitute this expression for L into the inequality L >= 3 to get:

10 - W >= 3

W <= 7

Similarly, we can substitute L = 10 - W into the inequality W >= 3 to get:

10 - L >= 3

L <= 7

Therefore, the possible values for L and W are:

3 <= L <= 7

3 <= W <= 7

We can also use the equation 2L + 2W = 20 to find the combinations of L and W that add up to 10, since the total length of fencing is 20 feet:

L = 3, W = 7

L = 4, W = 6

L = 5, W = 5

L = 6, W = 4

L = 7, W = 3

These are the possible rectangles that Wes can make with his 20 feet of fencing, where the smallest side is 3 feet or longer.

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moving company is using a large shipping container to pack up several smaller boxes. The smaller boxes are cubes with each side length measuring
The larger container will hold 20 smaller boxes along its width, 40 boxes along its length, and 20 boxes along its height.
e this information to fill in the blanks below.
please look at the photo:(

Answers

The volume of one smaller box is 1 cubic foot.

Solution to Shipping Container Problem

The volume of one smaller box is calculated by raising the length of its sides to the power of 3, so the volume of one smaller box is:

Volume (smaller box) = (1 foot)³ = 1 cubic foot

The number of smaller boxes that fit into a shipping container is obtained by multiplying the number of boxes that fit along each dimension, so the number of smaller boxes that fit into a shipping container is:

Number of smaller boxes = 20 boxes (width) × 40 boxes (length) × 20 boxes (height) = 16,000 boxes

To calculate the volume of the large shipping container, we need to multiply the length, width, and height of the container. Since each dimension is given in terms of the number of boxes it can hold, we need to multiply each dimension by the length of one smaller box (1 foot) to obtain the dimensions in feet. Therefore, the volume of the large shipping container is:

Volume of the large shipping container = 20 boxes (width) × 1 foot (length of one smaller box) × 40 boxes (length) × 1 foot (length of one smaller box) × 20 boxes (height) × 1 foot (length of one smaller box) = 16,000 cubic feet

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A box contains 10 red buttons, 30 green buttons, 40 blue buttons, and 20 yellow buttons. ten buttons were removed, tallied, and then returned to the box. three additional samples were taken in the same way. which sample is the best representation of the buttons in the box?

Answers

The best representation of the buttons in the box is the third sample.

To determine which sample is the best representation of the button in the box, we need to examine the samples and compare them to the known ratios of the colors of buttons in the box.

First sample: 6 red, 2 green, 1 blue, 1 yellow (out of 10)

Second sample: 3 red, 3 green, 3 blue, 1 yellow (out of 10)

Third sample: 2 red, 2 green, 5 blue, 1 yellow (out of 10)

To compare the samples to the known ratios, we can calculate the percentage of each color in each sample and compare it to the percentage of each color in the box.

The percentages of each color in the box are:

Red: 10/100 = 10%

Green: 30/100 = 30%

Blue: 40/100 = 40%

Yellow: 20/100 = 20%

First sample:

Red: 6/10 = 60%

Green: 2/10 = 20%

Blue: 1/10 = 10%

Yellow: 1/10 = 10%

Second sample:

Red: 3/10 = 30%

Green: 3/10 = 30%

Blue: 3/10 = 30%

Yellow: 1/10 = 10%

Third sample:

Red: 2/10 = 20%

Green: 2/10 = 20%

Blue: 5/10 = 50%

Yellow: 1/10 = 10%

Based on these percentages, we can see that the third sample is the best representation of the buttons in the box, as it is closest to the known ratios of colors in the box.

The first sample is skewed towards red buttons and away from blue and green buttons, while the second sample has equal percentages of red, green, and blue buttons, which is not reflective of the known ratios in the box.

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Find the surface area of the regular pyramid shown to the nearest whole number. The figure is not drawn to scale.
*
Captionless Image
1209 m^2
790 m^2
1125 m^2
898 m^2

Answers

The surface area of the regular pyramid is 1209 m².

How to find the surface area of the regular pyramid?

A pyramid is a three-dimensional shape. It has a flat polygon base. All the other faces are triangles and are called lateral faces.

A pyramid is called by the shape of its base.

The surface area of the regular hexagonal pyramid is given by the formula:

SA = 3b(a + s)

Where a is the apothem, b is the base and s is the slant height of the pyramid.

In this case:

a = 8.5√3 m

b = 17 m

s = 9 m

SA = 3 * 17 * (8.5√3 + 9)

SA = 1209 m²

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Qn in attachment. ..​

Answers

The answer is C hope it helps

Answer:

pls mrk me brainliest (⁠´⁠(⁠ェ⁠)⁠`⁠)

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