At an aunt's wedding , Nicolas collected data about an ice sculpture that was about to completely melt . A graph of his data is shown at right . a . Write an equation for a line of best fit . What are the units for the slope and y-intercept in the equation ? b Based on your equation , how tall was the ice sculpture one hour before Nicolas started measuring ?

At An Aunt's Wedding , Nicolas Collected Data About An Ice Sculpture That Was About To Completely Melt

Answers

Answer 1

Answer:

Step-by-step explanation:

From the scatter plot given in the attachment,

a). Line of best fit will pass through two points (0, 10) and (4, 0)

   Let the equation of the line is,

   y = mx + b

   m = slope of the line

   b = y-intercept

   Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

   m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{10-0}{0-4}[/tex]

   m = -2.5 inches per hour

   y-intercept = 10 inches

   Therefore, equation of the line will be, y = -2.5x + 10

b). Since, Nicolas started measuring the height of the ice sculpture at x = 0

    One hour before the start of the observations means x = (0 - 1) = -1

    From the given equation,

    y = -2.5(-1) + 10

       = 2.5 + 10

       = 12.5 inch


Related Questions

What is the graph of the given function?
f(x) = -2(x – 3)2 + 4
Graph

Answers

Answer:

the graph attached is the answer

63 divided by 4914​

Answers

Answer:

1/78

Decimal form:

0.0 128205...

hope this helps!

blake is saving up on a new pair of headphones. He has $20 saved already, and he earns $10 for every lawn he mows. How many lawns will he have to mow to have at least $90 saved . What is the inequality and the solution?

Answers

Answer: 20× + 10 < 90

Step-by-step explanation:

Blake will have to mow at least 7 lawns to have at least $90 saved.

The inequality is: 20 + 10x ≥ 90

The solution is: x ≥ 7

What is inequality?

Inequality is a mathematical statement that compares two values, expressing that one value is less than, greater than, less than or equal to, greater than or equal to, or not equal to another value.

Inequalities are commonly represented using symbols such as "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), or "≠" (not equal to).

Let's assume Blake has to mow x lawns to have at least $90 saved.

Since he earns $10 for every lawn he mows, the amount he will earn by mowing x lawns is 10x.

Adding his initial savings of $20 to the amount he will earn from mowing lawns gives us the following inequality:

20 + 10x ≥ 90

Subtracting 20 from both sides:

10x ≥ 70

Dividing both sides by 10:

x ≥ 7

Therefore, Blake will have to mow at least 7 lawns to have at least $90 saved.

The inequality is: 20 + 10x ≥ 90

The solution is: x ≥ 7

To know more about inequality follow

https://brainly.com/question/25275758

#SPJ3

Raisins cost $4 a pound and walnuts cost $8 a pound. Diego spent $15 on both ingredients.

Answers

What is the question sir

The area of a rectangle a=1(w) is represented by the expression 24x6y15. If the width of the rectangle is 2x3y9, what is the length of the rectangle

Answers

Answer:

Length of rectangle is: [tex]Length=12x^3y^6[/tex]

Step-by-step explanation:

The area of rectangle = [tex]24x^6y^{15}[/tex]

Width of rectangle = [tex]2x^3y^9[/tex]

We need to find length of rectangle

The formula used is: [tex]Area=Length\times Width[/tex]

Putting values and finding length

[tex]Area=Length\times Width\\24x^6y^{15}=Length\times 2x^3y^9\\Length=\frac{24x^6y^{15}}{2x^3y^9} \\Length=12x^{6-3}y^{15-9}\\Length=12x^3y^6[/tex]

So, Length of rectangle is: [tex]Length=12x^3y^6[/tex]

plz help me plz plz thank you

Answers

Answer:

240

Step-by-step explanation:

bruh all you have to do is (11+5)*15

help me please on letter b

Answers

​12v6
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A middle school is selling candy bars to raise money for new calculators. The graph shows the number of candy bars sold, x, and the amount of money collected, y.

Answers

Hello, please attach the graph and write your question, so i will be able to help u!

Find the measure of angle B​

Answers

Answer:

Step-by-step explanation:

Use the Law of Cosines for this. If we want the measure of angle B, then the equation is set up like this:

[tex]b^2=a^2+c^2-2accosB[/tex]

Filling in:

[tex]9^2=14^2+6^2-2(14)(6)cosB[/tex] and simplifying a bit:

81 = 196 + 36 - 168cosB and a bit more:

81 = 232 - 168cosB and even more:

-151 = -168cosB and divide both sides by -168 to get

.9378881988 = cosB

Now use the 2nd button on your calculator along with the cos button to find the missing angle. Make sure your calculator is in degree mode first. Your angle should be 20.30012152

Can someone help me find the missing side length!

Answers

Answer:

12

Step-by-step explanation

so what I did is I divided 15 by 5 to get 3 also 9 divided by 3 equals 3 to so you could of also done that.

then i multiplied to 4 x 3 to get the missing side length which equals 12

Answer:

the answer is 12

Step-by-step explanation:

to find the length we us this formula a²+b²=c²

a²+b²=c²

a²+(9)²=(15)²

a²+81=225

a²=225-81

a²=144

a=√144

a= 12 unit

Mr. Ramirez gave his class
40
40 minutes to read. Davida reads
28
1
2
28
2
1

pages in that time. At what rate, in pages per hour, did Davida read?

Answers

Answer:

38 pages per hour

Step-by-step explanation:

Rate of reading = [tex]\frac{\text{Total number of pages read by Davida}}{\text{Time taken to read}}[/tex]

By substituting the given values in the question,

Total number of pages read by Davida = [tex]28\frac{1}{2}[/tex] = [tex]\frac{57}{2}[/tex]

Time taken by Davida = 45 minutes

Since, 1 minute = [tex]\frac{1}{60}[/tex] hours

Therefore, 45 minutes = [tex]\frac{45}{60}=\frac{3}{4}[/tex] hours

Rate of reading = [tex]\frac{\frac{57}{2}}{\frac{3}{4} }[/tex]

                          = [tex]\frac{57}{2}\times \frac{4}{3}[/tex]

                          = 38 pages per hour

Therefore, rate of reading by Davida is 38 pages per hour.

Which of the following is NOT a rational number?
-4/7
3/5
(the symbol for pie)
2/3

Answers

Answer: (the symbol of pi)

Step-by-step explanation: Because if you divide each of those fractions only pi keeps in going without repeating itself.

Aakash can complete a work in 10 days. If he worked for 4 days and
the remaining work is done by Safal, how much work is done by Safal?​

Answers

Step-by-step explanation:

Hey there!

According to the question;

Aakash can complete a work in 10 days.

That means;

In 10 days Aakash can complete 1 work.

In 1 day Aakash can complete (1/10) work.

In 4 days Aakash can complete (1/10)*4 part of work.

Therefore, in 4 days he can complete 2/5 part of work.

After 4 days Safal had to work.

So, work left was 1 - (2/5) {work left = whole work - done work}.

[tex]1 - \frac{2}{5} [/tex]

[tex] = \frac{3}{5} [/tex]

Therefore, the work Safal had to do was 3/5 part of work.

Hope it helps....

URGENT!!!! HELP PLEASE!!!

Answers

Answer:A. 60Hope this helps!!

A, skdigjnaaojbdjaoxjbeoahxf

Yasmin uses 4 cups of papaya juice for every 6 cups of pineapple juice. If Yasmi already has 24 cups of pineapple juice, how many cups of papaya juice will she need to make the fruit punch?

Answers

Answer:

Step-by-step explanation:

The ratio is 4:6 4 papaya to 6 pineapple

This turns out to be for every 1 cup of papaya juice you have 1.5 cups of pineapple juice.

If you have 24 cups of pineapple juice divide 24 by 1.5 to get 16 cups of papaya juice. 16:24.

What is 0.617 in fraction form

Answers

Answer:

617/1000

Step-by-step explanation:

61.7% as a percent in case u need it :)

You are eating a slice of pizza that has 391 calories in it. Each time you dip the pizza into ranch dressing, though, you add 7 calories to the total. If your meal wound up being 454 calories in total, how many times did you dip the pizza into ranch dressing? I don't get it

Answers

Answer:I think it is about 55 times

Step-by-step explanation:

Answer:

9 times

Step-by-step explanation:

The pizza has 391 calories in it, and everytime you dip it into ranch, you add 7 calories to the 391.

454(calories in total) - 391(calories in the pizza)= 63

63 ÷ 7(calories everytime you dip into ranch) = 9

IM BAD AT PROPORTIONAL RELATIONSHIPS PLEASE HELP

Answers

Answer:

i will say Yes

Step-by-step explanation:

Answer:

I say yes

Step-by-step explanation:

This is because if you work it out step by step by step you will get the numbers equally

IF 26% OF A NUMBER IS 65 ,FIND THE NUMBER ?
plzz ans!

Answers

Answer:

48.10 dollars

Step-by-step explanation:

I think JDJDKDIDID

Answer:

250

Step-by-step explanation:

Multiply 100 by 65 and divide that by 26.

Heather is trying to decrease the amount of toys that Oliver has originally he had 55 toys in his room and now he only has 30 by what percentage did heather decrease the amount of toys

Answers

Answer:

25%

Step-by-step explanation:

Ms. Ruiz bought 12 packages of plates for the party. Each package contains 15 plates. She bought 10 packages of small plates and 2 packages of large plates. How many small plates did she buy? How many large plates did she buy? How many plates did she buy all together

Answers

Answer:

a)  150 plates

b)  30 plates

c)  180 plates

Step-by-step explanation:

Given that:

She bought twelve (12) packages of plates for the party in which each package contains 15 plates.

Out of the 12 packages;

10packages are small plates & 2 packages are large plates.

a) The number of small plates she bought = 10 × 15 = 150 plates

b) The number of large plates she bought = 2 × 15 = 30 plates

c) The total number of plates she bought all together is:

= number of small plates bought + = number of large plates bought

= (150 +30) plates

The total number of plates she bought all together = 180 plates

Whats the answer for #2

Answers

To get the slope you have to do rise/run

Which means ur answer is
4/5

YALL HELP PLEASE THANK U

Answers

Answer:

I am not getting this question

Step-by-step explanation:

Given Vertex (5,4) and focus (8,4)

It can be easily noticed that focus and vertex lie on the same horizontal line y = 4

Obviously, the axis of symmetry is a horizontal line ( a line perpendicular to y-axis). Also, the focus lies to the right of the vertex so the parabola will open up rightward.

(y−k)^2=4a(x−h)

a=8-5=3 as y coordinates are the same.

Since the focus lies to the left of vertex, a = 3

(y−4)^2=4⋅3⋅(x−5)

(y−4)^2=12(x−5)

is the equation of the parabola.

Grade 7 Unit 4 District Assessment 2020-21 Question: 1 Jacob saw a model of a building that will be built in his city. The model has a height of 40 centimeters and will be built to a scale of 1:50. What is the actual height of the building? (1 m = 100 cm)​

Answers

Answer:

123334

Step-by-step explanation:

The decimal 5.2323… is a(n) _____number.

rational
irrational
integer
whole

Answers

Answer:

it is a rational number

Answer:

rational

Step-by-step explanation:

infinite decimal

recurring decimal

integer

Write the standard form of the line that contains a slope of −1/2 and y-intercept of 1. Include your work in your final answer. Type your answer in the box provided to submit your solution.

Answers

Answer:

x + 2y = 4

Step-by-step explanation:

Slope-intercept form:

y = mx + b

Slope is m = -1/2 and y-intercept is b = 1

The function is:

y = -1/2x + 1

Standard form is:

Ax + By = C

Converting the function into standard form:

y = -1/2x + 2 ⇒ 2y = - x + 4 ⇒ x + 2y = 4

Answer:

Step-by-step explanation:

Slope-intercept form of y = mx + b

Slope is m = -1/2 and y-intercept is b = 1

The function is y = -1/2x + 1

y+1/2x=1

(2y+1x)/2=1

2y+x=2

x+2y=2

FIND THE SLOPE of the line that passes through the points (1,-19) and (-2,-7). You do not need to write the whole equation

Answers

Answer:

Slope is -12

Step-by-step explanation:

change of y/change of x = -12

Answer:

-4

Step-by-step explanation:

(-19 + 7)/(1 + 2) = -12/3 = -4

How do I find the measurement indicated in each parallelogram.

Answers

Answer:

17) 23

18) 12

Step-by-step explanation:

17

x+15 = 7+2x

x-2x = 7-15

-x= -8

x=8

WX = x+15

= 8+15

= 23

18

2x = 3x-6

2x -3x = -6

-x = -6

x = 6

EF = 3x-6

= 3(6) -6

= 18 -6

= 12

Answer is 17 u need to write 17

True or False: A prime number has exactly 2 factors
O True
O False

Answers

Answer:

I’d say false

Step-by-step explanation:

A while back, Shelby paid a car insurance premium of $3,980 per year. Now she pays 5% more. What does Shelby pay now?

Answers

Answer:

5,970

Step-by-step explanation:

3,980x.5+3,980

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