The data table represents the distance between a well-known lighthouse and a cruise ship over time. The cruise ship is travelling at uniform speed. Which equation represents the distance (y) from the lighthouse, based on the number of hours (x)? Number of Hours Distance from Lighthouse (in oceanic miles) 2 53 4 95.5 6 138 8 180.5 10 223 12 265.5 14 308 16 350.5 A. y = 42.5x + 10.5 B. y = 10.5x + 32 C. y = 21.25x + 10.5 D. y = 12.25x + 28.5 E. y = 12.5x + 10.5

Answers

Answer 1

Answer:

ddd

Step-by-step explanation:


Related Questions

Find the equation of a line that intersects with y=2x-1 on the y-axis and is parallel to y=-x. Please explain.

Answers

Answer:

so where does that line intersect the y axis? just plug in x=0 and you see y= -1. so (0, -1)

y = -x -1 is parallel because it has the same slope and goes through the right point

Two side of a triangle have the following measures.

Answers

Answer:

add the two then subtract the two and put those answers in each box :)

Step-by-step explanation:

hope this helped! happy holidays!

Mrs. Clark's plant is 4/3 4 inches tall. It is 1/7 8 inches taller than Jimmy's plant. How tall is Jimmy's plant? Enter your answer as a simplified mixed number by filling in the boxes. $$ in.

Answers

Answer:

克拉克夫人的植物高 4/3 4 英寸。它比吉米的植物高 1/7 8 英寸。何

help plslssssssssssssssss

Answers

Step-by-step explanation:

The answer is

In step 1 the multiplication property of equality was applied incorrectly

Find the points on x^2+3(y-2)^2 = 27
which are closest to and farthest from the origin

Answers

[tex](-4.89, 3)[/tex] and [tex](4.89, 3)[/tex] are the farthest from the origin and [tex](0, -1)[/tex] is the closest from the origin.

Let be a curve of the form [tex]x^{2}+3\cdot (y-2)^{2} = 27[/tex]. The distance with respect to origin is found by using the following Pythagorean identity:

[tex]r = x^{2}+y^{2}[/tex] (1)

Where [tex]r[/tex] is the square distance function.

We can modify (1) as following:

[tex]r = [27-3\cdot (y-2)^{2}]+y^{2}[/tex]

[tex]r = 27-3\cdot (y^{2}-4\cdot y +4)+y^{2}[/tex]

[tex]r = 27-3\cdot y^{2}+12\cdot y -12 + y^{2}[/tex]

[tex]r = -2\cdot y^{2}+12\cdot y+27[/tex] (1b)

Now we apply the First and second derivative tests to determine the minimum and maximum distances from the origin:

First derivative test

[tex]-4\cdot y +12 = 0[/tex]

[tex]y = 3[/tex]

Second derivative test

[tex]r'' = -4[/tex]

The y-component represents a maximum.

Now we graph the function with the ressource of a graphing tool, we find the following points:

Farthest points: [tex](-4.89, 3)[/tex], [tex](4.89, 3)[/tex].

Closest points: [tex](0, -1)[/tex].

[tex](-4.89, 3)[/tex] and [tex](4.89, 3)[/tex] are the farthest from the origin and [tex](0, -1)[/tex] is the closest from the origin.

To learn more on ellipses, we kindly invite to check this verified question: https://brainly.com/question/19507943

Figures A and B at right are similar. Assuming that figure A is the original figure, find the scale factor and find the lengths of the missing sides of figure B.

A 4 sided polygon, labeled A, with sides labeled as follows: left, 15, top, 12, right, 18, bottom, 20. A smaller, 4 sided polygon, labeled b, oriented the same way, has left side labeled: 3.

Answers

The scale factor is: 1/5.

The missing sides of figure B are: 2.4, 3.6, and 4.

How to find Scale Factor?

Scale factor = dimension of new figure / dimension of original figure

The polygons given are shown in the diagram attached below.

Figure A is the original figure

Figure B is the new figure.

x, y, and z has been used to mark the missing sides of figure B.

One dimension of original figure = 15

Corresponding dimension of the new figure = 3

Scale factor = new/original = 3/15

Scale factor = 1/5

To find the missing sides of figure B, multiply each corresponding side lengths of Figure A by the scale factor:

x = 12 × 1/5 = 2.4

y = 18 × 1/5 = 3.6

z = 20 × 1/5 = 4

In summary:

The scale factor is: 1/5.

The missing sides of figure B are: 2.4, 3.6, and 4.

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A bag of skittles contains 7 purple, 4 red, 6 yellow, and 5 green skittles. Randomly I will grab a skittle, eat it and then grab another to eat. What is the probability that I will get a purple and then red?

Answers

Answer:

The probability will be [tex]\frac{1}{2}[/tex], since there are a total of 11 purple and red Skittles and an overall total of 22 Skittles in the bag.

Description of a turn for those who have never done math / for a child​

Answers

Answer:

Step-by-step explanation:

1+1=2

2+2=4

3+3=6

4+4=8

5+5=10

Simplify
O A. 6^16
O B. 6
O C. 6^4
O D. 1/6

Answers

the answer for this question is B

Determine if the sequence below is arithmetic or geometric and determine the common difference/ ratio in simplest form

15, 11 ,7, …

Answers

Answer:

This is the arithmetic sequence which has a common difference that equals to -4.

Step-by-step explanation:

An arithmetic sequence is a sequence with common difference. A common difference can be found by subtracting previous term with next term.

A common difference can be expressed in [tex]\displaystyle \large{d=a_{n+1}-a_n}[/tex] where d stands for common difference.

________

Moving to the question given. We have a sequence with given 15,11,7, ... first subtract 15 with 11.

11-15 = -4

7-11 = -4

Therefore, we can conclude that the common difference is -4 thus making the given sequence an arithmetic.

Let me know if you have any question so regarding the sequence!

Need help I can’t fail this assignment. Answer asap!

Answers

Answer:

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes

6x + 5y = 10

5y = -6x + 10

y = (-6/5)x + 2

so a perpendicular line has slope 5/6

y = (5/6)x + b

plug in our desired point

3 = (5/6)6 + b

b = -2

y = (5/6)x - 2

I might be able to help you pass this assignment, but better learn it yourself as I cannot assure you will pass the class.

One of those "Win the battle but lose the war" type situations.

10. Which of the following is the best financial situation?

Answers

Answer:

Having enough to retire.

Step-by-step explanation:

The biggest long-term financial goal for most people is saving enough money to retire. The common rule of thumb that you should save 10% to 15% of every paycheck in a tax-advantaged retirement account like a 401(k) or 403(b), if you have access to one, or a traditional IRA or Roth IRA.

Assume running consumes 93 calories per mile. If you run 8 - minute miles, what is your average power output, in watts?

Answers

774 watts so what he said is right

Average power output, in watts = 0.8103 watts

What is average power?

The average power represents the constant energy that has been used throughout the time of the journey at a constant rate.

It can be expressed by the following relation:

P=E/T

Given,

Energy consumed per mile = 93 calories

Time taken to cover 1 mile = 8 minutes

Energy consumed per minute = 93/8 calories

Average power = 93/8 = 11.625 calorie per minute

1 calorie per minute = 0.0697 watt

Average power output in watts = 11.625 × 0.0697

                                                    = 0.8103 watt

Hence, 0.8103 watt is the average power output in watt.

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Write an equation of each sentence. Use n to represent the unknown number. You can use the back page for your solution. (2 points each) 11. Six increased by a number is twenty. 12. A number decreased by seven is four. 13. The sum of two consecutive numbers is thirty-one. 14. The sum of twice a number and two is thirteen. 15. One less than a number is eighteen. 16. The square of a number increased by four is twice the number. 17. Twice a number is one-half. 18. The product of a number and its half is eighteen. 19. The average of a number and ninety is seventy. 20. Two more than a number is twelve.

PLEASE HELP Me​

Answers

Answer:11. 6 + n = 2012. n - 7 = 2013. n + n + 1 = 3114. 2n + 2 = 1315. n - 1 = 18 16. n² + 4 = 2x17. 2n = 1/218. n²/2 = 1819. n/2 + 90/2 = 7020. 2 + n = 12

Hoped this helped.

[tex]-BrainaicUser1357-[/tex]

Let the number be x

#11

[tex]\\ \sf\longmapsto x+6=20[/tex]

#12

[tex]\\ \sf\longmapsto x-7=4[/tex]

#13

[tex]\\ \sf\longmapsto x(x+1)=31[/tex]

#14

[tex]\\ \sf\longmapsto 2x+2=13[/tex]

#15

[tex]\\ \sf\longmapsto x-1=18[/tex]

#16

[tex]\\ \sf\longmapsto x^2+4=17[/tex]

#17

[tex]\\ \sf\longmapsto x^2/2=18[/tex]

#18

[tex]\\ \sf\longmapsto x+90/2=70[/tex]

What does it mean to be an independent student? A. You must pick your own study topics and research them. B. You can set your own deadlines, within a fixed time frame. C. You are responsible for your own study schedule and organization. D. You are expected to work without extra help from a teacher or tutor.

Answers

Answer:

C

Step-by-step explanation

It makes the most sense

Answer:

check online for more information

Answer the questions below.
(a) The perimeter of a rectangular field is 276 m.
If the length of the field is 75 m, what is its width?
Width of the field: /m

Answers

Answer:

63 m

Step-by-step explanation:

Perimeter is 276, 2L + 2W = 276, so L + W = 138

L = 75

138 - 75 = W

63 m

If x = 9, what is the value of 6(x - 2)?

Answers

Answer: 42

6(9-2)

= 6 * 7

= 42

Answer:

6(9-2)

=6×7

=42 ans

Step-by-step explanation:

I think it help you I also you understand it

Ben currently has $70 in his trip fund. He makes $45 per week doing yard work for his neighbors. He keeps $18 of the $45 for weekly expenses. The remaining amount goes into his trip fund. Which function can be used to determine the amount of money (y), in dollars, that Ben has in his trip fund at the end of xx weeks?

y=70+27x

Answers

Answer:

he starts with 70 and $45-18=27 so he makes $27 to add to those $70

Step-by-step explanation:

Divide £121 in the ratio 2:9.

Answers

is this one of your answer choice?

Fill in the blanks to solve this equation

Answers

Answer:

                                     

Step-by-step explanation:

What fraction equals 15/21 with a denominator of 7

Answers

Answer:

5/49

Step-by-step explanation:

decimal form = 0.10

Answer:

5/49

hope it helps! stay safe as always!

Show that the equation y + 2 = 2(2x + 1) is linear and that it represents a proportional relationship between x and y.

Answers

y + 2 = 4x + 2
i hope thats right

A rectangle is 8 feet long. Its width is represented by “seven plus x feet.” Which expression represents the area, in square feet, of the rectangle?

Answers

56 + 8x

Area of Rectangle = Length x Width

Area of Rectangle = 8(7 + x)

Seven values on the number line above are marked with letters. Which letters represent integers?

Answers

B C L Abecause I did this it’s weird but you have to trust me

Need answer for the question please

Answers

Answer:

-7/4

Step-by-step explanation:

The slope for line A is 4/7 and you find the perpendicular slope by finding the reciprocal so you would get 7/4 then you multiply that by -1. The end result would be -7/4.

Answer:

7/4

Step-by-step explanation:

1) Find the slope of line A:

m=∆y/∆x

=(4—0)/(0+7)

= 4/7

2) When a line is perpendicular to another we have: mm' = 1

(m' stands for slope of second line)

In this case m' is: m' = — 7/4

write an expression to represent admission to a zoo of $10.00 and the cost of special exhibits s at $4 each. Evaluate you expression when s=2

Answers

Answer:

10.00 +4s .

u wanted expression ,  not answer.?

Step-by-step explanation:

I need help understanding this

Answers

Step-by-step explanation:

I am sorry but I cannot see your question

Solve for x: one over four (4x + 15) = 24

A: 45
B: 207/4
C: 81/4
D: 9

Answers

Answer:

[tex]C. x = \frac{81}{4} = 20.25[/tex]

Step-by-step explanation:

[tex]\frac{1}{4}\left(4x+15\right)=24[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}4[/tex]

[tex]4\cdot \frac{1}{4}\left(4x+15\right)=24\cdot \:4[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]4x+15=96[/tex]

[tex]\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}[/tex]

[tex]4x+15-15=96-15[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]4x=81[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]

[tex]\frac{4x}{4}=\frac{81}{4}[/tex]

[tex]Simplify[/tex]

[tex]x=\frac{81}{4}[/tex]

Creshawna has $52 in her bank account. She sells a few of her games and makes $134. She deposits that amount into her bank account. How much money does Creshawna have in her bank account after she deposits $134?

$180
$186
$190
$196

Answers

I'm pretty sure it's $186

One side of a square garden is 8 feet long. How can you find the area of That is the
the garden?

Answers

Answer:

64 ft

Step-by-step explanation:

A square has to be equal on all 4 sides for it to be considered a square. Considering that it is 8 feet on one side it would be 8 feet on all the others as well. From there you multiply 8*8 and receive the solution of 84 feet for the area of the garden.

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