please hellllllllppppppppppppppppppppppppppp

Please Hellllllllppppppppppppppppppppppppppp

Answers

Answer 1

Answer:

[tex]21^{10}[/tex]

Step-by-step explanation:

First, multiply the 3 and the 7 together, and then "multiply" the exponents -8 and 3. (However, when "multiplying exponents, you're really just adding them together: -8 + 5)

([tex]21^{-5}[/tex])^2

Then, multiply the -5 and -2 together, giving you:

[tex]21^{10}[/tex]


Related Questions

please help and explain too

Answers

Answer:

Radius = 5inch

CD = 2.75 cm

Step-by-step explanation:

A) isosceles triangles AC = AD  BC = BD  BC = AC you join lines up and then do Pythagoras.  AC ² =  1/2 * 8 ²  +  1/2 6²

AC² = 4sq + 3sq

25sq = 16sq + 9sq

AC² = 25sq = 5inch

Radius = 5inch

B) AB = 8inch  CD = 6inch  radius = 5  ratio = 4 : 3 : 2.5

AB = 24cm CD =  18  radius = 13cm  ratio = 4 : 3 : 2.1

4- 2.1 = 1.9   1.9 distributed = 1.30 + 0.65 + 1 =2.75

so ratio must be 4: 2.75 : 2.1 = 4 : 3 : 2.5

Therefore CD = 2.75 cm

Just to get you started.

Find the area of the circle given the diameter is 8. Use 3.14 for pi

Answers

Answer:

50.27

Step-by-step explanation:

Answer:

50.27

Step-by-step explanation:

A=1 /4 πd squared

A≈50.27

Hope this helps

Merrill Lynch Securities and Health Care Retirement Inc. are two large employers in downtown Toledo, Ohio. They are considering jointly offering child care for their employees. As a part of the feasibility study, they wish to estimate the mean weekly child care cost of their employees. A sample of 10 employees who use child care reveals the following amounts spent last week.$107 $92 $97 $95 $105 $101 $91 $99 $95 $104(a) Develop a 99 percent confidence interval for the population mean. Interpret the results.

Answers

Answer:

Step-by-step explanation:

We would determine the mean an standard deviation first

Mean = (107 + 92 + 97 + 95 + 105 + 101 + 91 + 99 + 95 + 104)/10 = 98.6

Standard deviation = √(summation(x - mean)/n

n = 10

Summation(x - mean) = (107 - 98.6)^2 + (92 - 98.6)^2 + (97 - 96.6)^2 + (95 - 98.6)^2 + (105 - 98.6)^2 + (101 - 98.6)^2 + (91 - 98.6)^2 + (99 - 98.6)^2 + (95 - 98.6)^2 + (104 - 98.6)^2 = 274

Standard deviation = √(274/10) = 5.23

The confidence interval is used to determine the range of values that could possibly contain a population parameter (population mean)

Confidence interval is written in the form,

(Point estimate - margin of error, Point estimate + margin of error)

The sample mean, x is the point estimate for the population mean.

We will use the t distribution because the sample size is small and the population standard deviation is not given.

Degree of freedom, df = 10 - 1 = 9

α = 1 - 0.99 = 0.01

z α/2 = 0.01/2 = 0.005

The area to the right of z 0.005 is 0.005 and the area to the left of z0.005 is 1 - 0.005 = 0.995. Using the t distribution table,

z = 3.25

Margin of error = z × s/√n

Where

s = sample standard Deviation = 5.23

Margin of error = 3.25 × 5.23/√10 = 5.38

Confidence interval = sample mean(point estimate) ± z × σ/√n

The lower boundary of the confidence interval is

98.6 - 5.38 = 93.22

The upper boundary of the confidence interval is

98.6 + 5.38 = 103.98

We estimate with 99% confidence that the mean weekly child care cost of their employees is between $93.22 and $103.98

Also,

99% of the confidence intervals constructed in this way would contain the true value for the population mean of mean weekly child care cost of their employees.

Final answer:

The 99% confidence interval for the average weekly childcare cost based on this sample data is [$94.6, $102.6], which means we're 99% certain the true average cost falls within this range.

Explanation:

When we are talking about a confidence interval for the population mean, we're trying to determine a range within which we're confident the true average child care cost falls, given the data we have from a sample of employees. To do this, we first have to calculate the mean (or average) child care cost and the standard deviation of our sample.

The mean weekly child care cost would be ($107 + $92 + $97 + $95 + $105 + $101 + $91 + $99 + $95 + $104) / 10 = $98.6. To calculate the standard deviation, you would subtract each data point from the mean, square the results, find the average of these squared differences, and finally take the square root. In this case, the standard deviation equates to ~5.27. Now we can use these values to calculate the confidence interval. For a 99% confidence interval with a sample size of 10, the appropriate t-value from the t-distribution table is 3.25. The confidence interval would therefore be Mean +/- t-value*(standard deviation/sqrt(n)). So the interval would be 98.6 +/- 3.25*(5.27/sqrt(10)). This calculates to an interval of [94.6, 102.6]. That means we're 99% confident the true average weekly child care cost falls between $94.6 and $102.6.

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All members of our painting team paint at the same rate. If $20$ members can paint a $6000$ square foot wall in $24$ minutes, then how long would it take the $20$ members to paint a $9000$ square foot wall, in minutes?

Answers

Let x represent time taken by 20 members to paint 9000 square foot wall.

We have been given that all members of our painting team paint at the same rate. 20 members can paint a 6000 square foot wall in 24 minutes. We are asked to find the time taken by 20 members to paint 9000 square foot wall.

We will use proportions to solve our given problem.

[tex]\frac{\text{Time taken}}{\text{Area of wall painted}}=\frac{24\text{ min}}{6000\text{ ft}^2}[/tex]

[tex]\frac{x}{9000\text{ ft}^2}=\frac{24\text{ min}}{6000\text{ ft}^2}[/tex]

[tex]\frac{x}{9000\text{ ft}^2}\times 9000\text{ ft}^2=\frac{24\text{ min}}{6000\text{ ft}^2}\times 9000\text{ ft}^2[/tex]

[tex]x=\frac{24\text{ min}}{6}\times 9[/tex]

[tex]x=4\text{ min}\times 9[/tex]

[tex]x=36\text{ min}[/tex]

Therefore, it will take 36 minutes for 20 members to paint 9000 square foot wall.

Answer:

36 minutes

Step-by-step explanation:

The amount of time needed and the amount of wall to paint are directly proportional. So, when we multiply the amount of wall to paint by 4/3 (going from 6000 square feet to 9000 square feet), we multiply the time needed by 9000/6000 = 3/2. Therefore, the 20 members need 24 * 3/2 = 36 minutes to paint the 9000 square foot wall.

I need help please!!!

A TV has an aspect ratio of 21:9. What does this fact tell you about the relationship between the TV's height and width?
(1)
There are 21 inches of width for every 9 inches of height.
(2)
There are 21 inches of height for every 9 inches of width.
(3)
The total viewing area of the TV is 21.9 square inches
(4)
The TV's diagonal measurement is 21.9 inches.

Answers

Answer: number 1

Step-by-step explanation:

That is how you would write the ratio word for word.

- hope this helped!

Answer:

1

Step-by-step explanation:

Analyze the map below and answer the question that follows.

A map of population density in South and Southeast Asia. Darker areas have higher population density. Higher population density areas are Indonesia, the coast of Vietnam, the northern border of India, the eastern coast of India, and Bangladesh.

Areas with higher population density are shown in solid, dark green on the map above. Which of the following areas in India has the highest population density?
A.
the Deccan Plateau
B.
the island of Java
C.
the Ganges Plain
D.
the border region near Pakistan

Answers

Answer:

the answer is a

Step-by-step explanation:

i got the question right. please mark me brainliest. look at a population density map of southeast Asia

Answer:

a

Step-by-step explanation:

i did the test

A circle with center on the origin and point on (4,-2)

Answers

The equation of the circle is x² + y²=20

Step-by-step explanation:

The equation of circle is written as

(x-h)² +( y-k)²=r²

x² + y²=r²

The circle passes through (0,0) and (4, -2)

The equation of the circle is x² + y²=20

I have attached the document for the explanation part

Figure ABCD is a kite.


Kite A B C D is shown. Sides A B and B C are congruent. The length of A B is 14. Sides C D and A D are congruent. The length of C D is 22.


What is the length of line segment AD?


8 units

14 units

22 units

36 units

Answers

Answer:

the answer is 22 units,hope it helps

The length of line segment AD is 22 units.

ABCD is a kite.

Kite A B C D is shown.

Sides A B and B C are congruent.

The length of A B is 14.

Sides C D and A D are congruent.

The length of C D is 22.

We have to determine the length of line segment AD.

What is the theorem of similarity of the triangle?

A line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

Therefore we can say that,

AD=DC

Therefore the length of line segment AD is 22 units.

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Kevin is 3 years older then Daniel. Two years ago, Kevin was 4 times as old as Daniel. How old is Kevin now

Answers

Answer:

Step-by-step explangghdhc6vyation:

Hhyvvh

Answer:

The answer to your question is Kevin is 6 years old.

Step-by-step explanation:

Process

1.- Assign a letter to Daniel and another letter to Kevin

Daniel = d

Kevin = k

2.- Write equation that help to solve this problem

      k = d + 3         equation l

       k = 4d             equation ll          four years ago

3.- Solve the system by substitution. Substitute equation ll in equation l

       4d = d + 3

-Solve for d

       4d - d = 3

       3d = 3

         d = 1

-Find k

       k = 1 + 3

       k = 4

4.- Calculate the age Kevin has now

Kevin's age = 4 + 2

                   = 6  

       

At the supermarket, peppers cost $2.19 per pound. Christina buys 2 pounds
of peppers. She pays with a $5.00 bill. How much change does she receive?

Answers

Answer:

0.62

Step-by-step explanation:

2*4.19=4.38

5-4.38=0.62

The box plot represents the number of math problems on the quizzes for an algebra course. A number line goes from 0 to 16. The whiskers range from 5 to 15, and the box ranges from 8 to 14. A line divides the box at 10. What is the range of the data?

Answers

Answer:

D

Step-by-step explanation:

The range of the data is 10.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The range of the data can be determined by finding the difference between the maximum and minimum values.

The maximum value is given by the upper whisker, which is 15, and

the minimum value is given by the lower whisker, which is 5.

Therefore, the range of the data is:

Maximum value - Minimum value = 15 - 5 = 10

So, the range of the data is 10.

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PLS HELP ONLINE SCHOOL!! I DONT GET IT

Answers

Answer:

1:1

Step-by-step explanation:

They look exactly the same so they would equal each other

Louis is constructing the perpendicular bisector of GH¯¯¯¯¯¯. He has already constructed an arc as shown.

What should Louis do for his next step?

Place the point of the compass on point G and draw an arc, using GP as the width for the opening of the compass.

Place the point of the compass on point P and draw an arc, using GP as the width for the opening of the compass.

Place the point of the compass on point G and draw an arc, using the same width for the opening of the compass as the first arc.

Place the point of the compass on point G and draw an arc, using GH as the width for the opening of the compass.

Answers

Answer:

c. Place the point of the compass on point G and draw an arc, using the same width for the opening of the compass as the first arc.

Step-by-step explanation:

I took the k12 test and it was correct.

Final answer:

To construct the perpendicular bisector of GH, Louis should place the point of the compass on point G and draw an arc using the same opening as the first arc. The intersecting point of these arcs is the midpoint of GH, which separates GH into two equal halves.

Explanation:

Louis should place the point of the compass on point G and draw an arc, using the same width for the opening of the compass as the first arc. This is a required step in constructing a perpendicular bisector. After Louis has created this arc, the intersection of the two arcs is the midpoint of GH. If a line is drawn from this point to GH, it will create two equal halves, creating the perpendicular bisector.

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The government of India declared Rhinoceros as an endangered species. They put tags on 32 rhinoceros and released them. Later, they caught 160 rhinoceros, 12 of them were tagged. Find the best estimate for the rhinoceros population? *

Answers

Answer:

Step-by-step explanation:

What number should Rhianna use for the height of the parallelogram if she uses 28 inches for the base?

Answers

Answer:

7

Step-by-step explanation:

But lets not quote me on that. :]

the delivered price of leah st clairs new car is 22450. she makes a 2800 down payment and pays the balance in 36 monthly payments of 612. what total amount did leah pay for the car? how much was the finance charge?​

Answers

Answer:

Total amount paid for the Car=$24,832

Finance Charge=$2,382

Step-by-step explanation:

Down payment on the Car=$2800

Number of Monthly Installments=36

Amount Paid Per Installment=$612

Total Monthly Installment Paid=36*$612=$22032

Therefore, the Total Amount Paid for the Car=Down Payment+Total Installmental Payment=2800+22032=$24,832

Next, we determine the finance charge.

Finance Charge=Total Amount Paid for the Car - Delivered Price of the Car

=24832-22450

=$2,382

Therefore:

Total amount paid for the Car=$24,832

Finance Charge=$2,382

Eight percent of all college graduates hired by companies stay with the same company for more than five years. The probability that in a random sample of 12 such college graduates hired recently by companies, exactly two will stay with the same company for more than five years is

Answers

Answer:

0.1835

Step-by-step explanation:

This question can be solved by way of binomial distribution.

Let’s have the probability of success as p which is the probability that they stay with the company for more than five years;

p = 8/100 = 0.08

probability of failure, meaning not staying is q = 1-p = 1-0.08 = 0.92

Now let’s write the expression for the binomial distribution. That would be;

probability = 12C2 * 0.08^2 * 0.92^10

= 0.1835

Probabilities are used to determine the chances of an event.

The probability that exactly two stays more than 5 years is 0.1835

The given parameters are:

[tex]\mathbf{n = 12}[/tex] ---- sample

[tex]\mathbf{x = 2}[/tex] --- selected

[tex]\mathbf{p = 80\%}[/tex] --- sample proportion

So, the probability that exactly two stays more than 5 years is calculated using the following binomial probability:

[tex]\mathbf{P(x) = ^nC_x p^x (1 - p)^{n -x}}[/tex]

So, we have:

[tex]\mathbf{P(x) = ^{12}C_2 (8\%)^2 (1 - 8\%)^{12 -2}}[/tex]

[tex]\mathbf{P(x) = ^{12}C_2 (8\%)^2 (92\%)^{10}}[/tex]

Solve 12C2 using a calculator

[tex]\mathbf{P(x = 2) = 66 \times (8\%)^2 \times (92\%)^{10}}[/tex]

[tex]\mathbf{P(x = 2) = 0.1835}[/tex]

Hence, the probability that exactly two stays more than 5 years is 0.1835

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Which best describes the relationship between the two triangles below?

Triangle M L N is similar to Triangle F G H because of the third angle theorem, Angle M is congruent to angle F, Angle L is congruent to angle G, and Angle N is congruent to angle H.

Triangle M L N may or may not be similar to Triangle F G H because the third angle is unknown.

Triangle M L N is similar to Triangle F G H because of the angle-angle criterion, Angle M is similar to angle F, Angle L is similar to angle G, and Angle N is similar to angle H.

Triangle M L N may or may not be similar to Triangle F G H because the side lengths are unknown.

Answers

Given:

In the given ΔLMN, ∠M = 51° and ∠L = 36°

And,

In ΔFGH, ∠F = 51° and ∠G = 36°

To find the suitable option from the given options.

Formula

By Third angle theorem, we have,

If two angles in one triangle are congruent to two angles in another triangle, then the third pair of angles must also congruent.

In given two triangles

ΔLMN and ΔFGH

∠M = ∠F = 51° and

∠L = ∠G = 36°

So, it satisfies the condition of third angle theorem.

Hence,

We can conclude that, Triangle M L N is similar to Triangle F G H because of the third angle theorem, Angle M is congruent to angle F, Angle L is congruent to angle G, and Angle N is congruent to angle H.

Thus, Option a is the correct answer.

Answer:

Triangle M L N is similar to Triangle F G H because of the third angle theorem, Angle M is congruent to angle F, Angle L is congruent to angle G, and Angle N is congruent to angle H.

Step-by-step explanation:

i just took the quiz and i got it right

please hurry I am doing the test right now
The intersection of two streets forms a parallelogram. One street is 40 feet wide. The height of the parallelogram formed is 25 ft. What is the area of the intersection?



A parallelogram has a base of 40 feet and a height of 25 feet.
500 sq ft
560 sq ft
1,000 sq ft
1,120 sq ft

Answers

The answer is 1,000 sq ft

Answer:

The answer is 1,000 sq ft

Step-by-step explanation:

i just finished with 100% on the topic test/quiz

Cole plays a bass drum that has a radius of 4 inches. What is the drum’s circumference? Use 3.14 for π.

Answers

The circumference of Cole's bass drum is 25.12 inches.

The formula to find the circumference (C) of a circle is C = 2πr, where r is the radius and π is approximately 3.14.

Since Cole's bass drum has a radius of 4 inches, we substitute the values into the formula to get

C = 2 × 3.14 × 4 inches.

So, the circumference of Cole's drum is C = 2×3.14 × 4 = 25.12 inches.

The wheels on the bicycle are circles.The diameter of the large wheel is 3 times longer than the small wheel.How many times greater is the area of the larger circle than the area of the smaller circle

Answers

Answer:

The area of the larger circle is 9 times greater than that of the smaller circle.

Step-by-step explanation:

Let d be the diameter of the smaller circle and d be the diameter of the larger circle. If d₁ = 3d

Since Area of a circle A = πd²/4 ⇒ A ∝ d²

Let A be the area of the smaller circle and A₁ be the area of the larger circle.

So, A₁/A = d₁²/d² = (3d)²/d² = 9

A₁/A = 9

A₁ = 9A

So the area of the larger circle is 9 times greater than that of the smaller circle.

Answer:

9 times greater

Step-by-step explanation:

Let radius of small circle b r

radius of big circle = 3×(r) = 3r

Area of small circle  = πr²

Area of big circle = π(3r)² = 9πr²

How many times area of big circle is larger = 9πr²/ πr² = 9

Answer the folowing:
A percent is a rate in which the first term is compared to
A. 100
B. itself
C. 1
D. 0

A unit rate is a rate in which the first term is compared to
A. 0
B. 100
C. itself
D. 1

Answers

From what we know about percentages and unit rates, the correct options are:

1) 100

2) 1

What is a percent?

Suppose we have an amount A, this would be the 100%.

If we want to know how much a quantity B represents, compared to A, we have:

A = 100%

B = x

where x is a percentage, to find the value of x we compute:

x = (B/A)*100%

While there is a dependence on A, we actually are comparing the term with 100 (because A represents a 100%), so the correct option is A: 100.

What is a unit rate?

We define the unit rate as the rate for a unit of something.

for example, if we know that

2 apples cost $3

The unit rate per apple is:

U = $3/2 = $1.5

Meaning that each apple costs $1.5

So to get the unit rate, we need to compare the first term with 1 (a unit). So the correct option is D.

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J+j-60=80 solve for j

Answers

Answer:

j=70

im sure of it

Answer:

j = 70

Step-by-step explanation:

j + j - 60 = 80

=> 2j - 60 = 80

=> 2j = 80 + 60

=> 2j = 140

=> j = 140/2

=> j = 70

Find the gradient of the line that is perpendicular to the line 2y=3+5x​

Answers

Final answer:

The gradient of the line that is perpendicular to the line 2y = 3 + 5x is found to be -0.4, after converting the given equation to slope-intercept form and determining the negative reciprocal of the original slope.

Explanation:

To find the gradient of a line that is perpendicular to the given line 2y = 3 + 5x, we first need to put the given equation in slope-intercept form (y = mx + b). By dividing everything by 2, we get y = 2.5x + 1.5, where the gradient (or slope) of this line is 2.5. Since perpendicular lines have slopes that are negative reciprocals of each other, the slope of the line perpendicular to the given one is -1/2.5, which simplifies to -0.4. Therefore, the gradient of the line that is perpendicular to the line 2y = 3 + 5x is -0.4.

What make two shapes similar

Answers

Answer:

Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides

Step-by-step explanation:

Two shapes can be similar if
- all there angles are equal to each other
- two sides are in set ratio an the included angle is equal
- if a right angle is included, a hypotenuse is included and a side is in set ratio

city X has a population of 3 times 10^5 and city Y has a population of 6 times 10^6. Which statement correctly describes the relationship between the population of city X and city Y

Answers

Answer:

The population of city Y is 20 times than that of city X.

Step-by-step explanation:

Given:

City X has a population of 3 times 10^5

City Y has a population of 6 times 10^6.

Question asked:

Which statement correctly describes the relationship between the population of city X and city Y?

Solution:

If we will be able to find the number of times the population of city Y more than that of city X, it will be the best and easy to understand relationship between the population of these two towns:

And we can easily calculate by dividing the population of city Y by population of city X.

[tex]=\frac{6\times10^{6} }{3\times10^{5}} \\ \\ =\frac{6\times10^{6-5} }{3}\ (\frac{a^{m} }{a^{n} }= a^{m-n} )[/tex]

[tex]=\frac{6\times10^{1} }{3} \\ \\ =\frac{60}{3} \\ \\ =20\ times[/tex]

Thus, the population of city Y is 20 times than that of city X.

Final answer:

City Y's population is 20 times larger than that of city X. This is determined by dividing City Y's population by City X's.

Explanation:

The relationship between the populations of city X and city Y can be understood by comparing the numbers provided: 3 times 10^5 (or 300,000) for city X and 6 times 10^6 (or 6,000,000) for city Y. It's clear that city Y has a significantly larger population. In fact, city Y's population is 20 times larger than that of city X.

This is calculated by dividing city Y's population (6,000,000) by city X's population (300,000), getting the result 20.

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The volume of a triangular pyramid is 110 cm³. The base of the triangle is 10 cm in the height of the triangle is 6 cm. Find the height of the pyramid.

Answers

Answer:

The height of the pyramid is 11 cm.

Step-by-step explanation:

We are given the following in the question:

Volume of triangular pyramid = 110 cubic cm

Base of trianle,b = 10 cm

Height of triangle,h = 6 cm

Area of triangular base =

[tex]A = \dfrac{1}{2}\times b\times h\\\\A = \dfrac{1}{2}\times 10\times 6\\\\A = 30\text{ square cm}[/tex]

Volume of triangular pyramid =

[tex]V = \dfrac{1}{3}AH[/tex]

where H is the height of the pyramid, A is the area of triangular base.

Putting values, we get,

[tex]110 = \dfrac{1}{3}\times 30\times H\\\\H = \dfrac{3\times 110}{30}\\\\H = 11\text{ cm}[/tex]

Thus, height of the pyramid is 11 cm.

What is the radian measure of an angle whose measure is −420°

Answers

Answer:

-7/3 pi radians

Step-by-step explanation:

To convert from degrees to radians, multiply by pi/180

-420 * pi/180

-42/18 *pi

Divide by 6 on the top and bottom

-7/3 pi

-7/3 pi should be the answer

30 pts if correct and will mark brainliest

Answers

Answer:

{HR H O HY HG TR TO TY TG}

2600

Step-by-step explanation:

We can either get heads or tails on the coin and red yellow green or orange on the spin

HR H O HY HG

TR TO TY TG

There are 26 letters for the first space and 10 digits (0-9) for the second space and 10 digits (0-9) for the 3 space

26 * 10 * 10

2600

Answer:

Option 1

Step-by-step explanation:

A sample space is a collection of all possible outcomes

{Coin,colour}

{H R, H Y, H G, H O, T R, T Y, T G, T O}

The river boat, Delta Duchess, paddled upstream at 12 km/h, stopped for 2 hours of sightseeing, and paddled back at 18 km/h. How far upstream did the boat travel if the total time for the trip, including the stop, was 7 hours?

Answers

Answer:

36 km

Step-by-step explanation:

Let time taken by upstream=x hours

Upstream speed=12 km/h

Time spend  for sightseeing=2 hours

Total time=7 hours

Traveling time=7-2=5 hours

Time taken by downstream=5-x

Downstream speed=18km/h

Distance=[tex]speed\times time[/tex]

Using the formula

Distance traveled when Delta Duchess paddled upstream=12 x

Distance traveled when  Delta Duchess paddled back=18(5-x)

According to question

[tex]12x=18(5-x)[/tex]

[tex]12x=90-18x[/tex]

[tex]12x+18x=90[/tex]

[tex]30x=90[/tex]

[tex]x=\frac{90}{30}=3 hours[/tex]

Substitute the values

Distance traveled when Delta Duchess paddled upstream=[tex]12\times 3=36 km[/tex]

Other Questions
Cubist artists were most productive in which of thefollowing years?1875189919121960 Eight-year-old Cindy has to decide whether to be best friends with Jillian, who has lots of toys to play with, or with Kaitlin, whose family has invited Cindy to go camping with them. According to social exchange theory, Cindy's choice will most likely be influenced by her consideration of which of the following?A) Comparison level for alternatives.B) Evaluation of the matching hypothesis.C) Relative proximity of the two possible friends.D) The socioeconomic status of the girls' families. Leticia recently rented an office space and now needs someone to do weekly cleaning. She received these bids from two different cleaning services. Quick Clean charges a $30 cleaning supply fee for every visit and $20 per hour. Three Friends Cleaners provided the table below to show its cost. image 584f4e6957dd4bd891b08a92e88537ac Which statements comparing the costs of the two cleaners are true? Choose all that are correct. A If it takes 10 hours for Leticia's office space to be cleaned, Three Friends Cleaners is less expensive than Quick Clean. B If the cleaning costs for each company were graphed, the y-intercepts would be the same. C If it takes 5 hours for Leticia's office space to be cleaned, Three Friends Cleaners is less expensive than Quick Clean. D If the cleaning costs for each company were graphed, the graphs would intersect when x equals 6 hours. E Three Friends Cleaners charges $5 more per hour than Quick Clean. What is the name given to the patriarch of Constantinople?bishoppopemetropolitanecumenical patriarch Which coordinate pair fits the set of coordinates (0,4), (-2, 1), (-4,-2)} defined by a linear function?(5, 12)(-6,-5)(-3,-1)(-6,-5) Suppose the phloem of a seed plant is damaged and does not function properly.How will this most directly affect the plant?a) Water will be released from the leaves.b) The plant will become rigid.c) Water will not be taken up by the roots.d) Food will not be carried away from the leaves. Whats the equation Jacob makes 20 baskets for every 35 times he shoots the ball. What is the ratio of baskets he makes to baskets he misses? Write an equivalent ratio by simplifying. The two conditional relative frequency tables show the results of a neighborhood survey on the number and types of gardens in the community.A 4-column table with 3 rows titled garden-type frequencies by column. The first column has no label with entries flower garden, no flower garden, total. The second column is labeled vegetable garden with entries 0.28, 0.72, 1.0. The third column is labeled no vegetable garden with labels 0.22, 0.78, 1.0. The fourth column is labeled total with entries 0.25, 0.75, 1.0.Table B: Garden-Type Frequencies by RowA 4-column table with 3 rows titled garden-type frequencies by row. The first column has no label with entries flower garden, no flower garden, total. The second column is labeled vegetable garden with entries 0.56, 0.48, 0.5. The third column is labeled no vegetable garden with labels 0.44, 0.52, 0.5. The fourth column is labeled total with entries 1.0, 1.0, 1.0.Which table could be used to answer the question "Assuming someone has a flower garden, what is the probability they also have a vegetable garden?"Table A, because the given condition is that the person has a flower garden.Table A, because the given condition is that the person has a vegetable garden.Table B, because the given condition is that the person has a flower garden.Table B, because the given condition is that the person has a vegetable garden. 8. Muscle fatigue and soreness may result when..a. ATP consumption equals ATP production.b. ATP consumption is less than ATP production.C. ATP consumption exceeds ATP production.d. All of the above A random sample of 16 students selected from the student body of a large university had an average age of 25 years. We want to determine if the average age of all the students at the university is significantly different from 24. Assume the distribution of the population of ages is normal with a standard deviation of 2 years. At a .05 level of significance, it can be concluded that the mean age is: After stepping into a room with unusual lighting, Erik's pupil has a radius of 4 millimeters. What is the pupil's area? Brought iron weapons to the Greeks Write one affirmative usted/ustedes command and one negative usted/ustedes command based on what you see in each picture. You are 12 years old and you work in a textile mill in Lancaster County in South Carolina. What is your daily life like as a little girl? Four beakers of four different sizes are filled with water to the same depth. The temperature of the water is the same in all four beakers. If 100 grams of ice are added to each beaker, in which beaker will the temperature change the least? What is the value of n when (9)^2n-1 =(27)^n+2 Which will occur if humans continue to overload water systems with excess nutrients? Factor 4x^2 + 49y^2 please. A manager is holding a $1.2 million stock portfolio with a beta of 1.01. She would like to hedge the risk of the portfolio using the S&P 500 stock index futures contract. How many dollars worth of the index should she sell in the futures market to minimize the volatility of her position? (Enter your answer in dollar not in millions.)