We can use two data points to find the linear function that relates the two quantities. For example, a linear function relating calories (C) consumed over days(d) can be generated from the following data: -After 3 days 4,100 calories have been consumed. -After 8 days 10,600 calories have been consumed. The slope of this function is________ and indicates the number of calories consumed each day. The y-intercept of this function is_________ and indicates the calories consumed at day . This function can be modeled by C=______

Answers

Answer 1

Answer:

Step-by-step explanation:

Let the number of days be x because x is the independent variable

Any y is the number of calories consumed the dependent variable.

Now slope = y2 - y2/ x2 - x2

= 10600-4100/8-3

= 6500/5 = 1300

From our analysis we know it consumes 1300 per day so ideally on day 3 we expect him to consume 1300x3= 3900

But the given value is 4100

This means it's inherent energy is 4100-3900= 200

This is the y- intercept and it occurs when x= 0

from the above explanation we know that

C = 200. and it's the y- intercept.

Look at the general equation of a line

y = mx + C; when x= 0, y = C; note we define C as the value of y when x = 0


Related Questions

A radio disc jockey has 7 songs on this upcoming hour's playlist: 3 are rock songs, 2 are reggae songs, and 2 are country songs. The disc jockey randomly chooses the first song to play, and then she randomly chooses the second song from the remaining ones. What is the probability that both songs are reggae songs? Write your answer as a fraction in simplest form.

Answers

Answer:

1/21

Step-by-step explanation:

Total: 7

P(reggae and reggae)

= 2/7 × (2-1)/(7-1)

= 2/7 × 1/6

= 1/21

What is the height of a cylinder with a volume of 315 pi cubic meters and a radius of 6 meters?

a
12.25 meters
b
52.5 meters
c
8.75 meters
d
26.25 meters

Answers

V= Pi × radius squared × height
V= 315 pi
R=6

315 pi = pi 6^2 h

315 pi/ 36 pi = h

Answer: C) 8.75

Answer:

The answer is c because I just took the quiz.

Step-by-step explanation:

Your welcome!

Estimate the difference. 9 1/2- 1 6/7

Answers

Answer:

[tex] = 7 \frac{9}{14} \\ [/tex]

Step-by-step explanation:

[tex]9 \frac{1}{2} - 1 \frac{6}{7} \\ \frac{19}{2} - \frac{13}{7} \\ \frac{133 - 26}{14} \\ = \frac{107}{14} \\ = 7 \frac{9}{14} [/tex]

hope this helps

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A girl was 6 and sister was 2,the girl is now 24,how old is the sister

Answers

Answer:

20

Step-by-step explanation:

There is 6-2 =4 years between them

24-4 =20

The sister is 20

Answer: 20 years old

Step-by-step explanation: So, we know the girl is 4 years older than the sister...how do we know that? Because...

6 - 2 = 4

She's 4 years older...we know the girl is 24, then the sister must be 20.

24 - 4 - 20...

The sister is 20 years old, I hope this helps

The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item.
Expression A: 0.2p
Expression B: 0.8p
Expression C: 1-0.2p
Expression D: p-0.2p
Expression E: p-0.8p

Which two expression each represent the sale price of the item?

Expression A and E
Expression B and C
Expression B and D
Expression C and D

Answers

Answer:

B

Step-by-step explanation:

What is the length of line segment AB, rounded to the
nearest tenth?
3.4 cm
O 4.8 cm
24 cm
0 27 cm

Answers

Answer:

A on e2020

Step-by-step explanation:

The solution is, The length of line segment AB is 3.4cm.

What is Line segment?

Line segment is the part of line which have two endpoint and bounded by two distinct end points and it contain every point on the line which is between its endpoint.

here, we have,

The area of octagon is given as 2a^2(1+sqrt{2})

Where a is the side of octagaon.

All sides of octagon are same.

now, we get,

As, 2a^2(1+sqrt{2}) = 54cm

so, we have,

Then, a^2 = 54/2(1+sqrt{2})

a^2 = 54/4.828

a^2 = 11.19

a = 3.4 cm

Hence, The solution is, The length of line segment AB is 3.4cm.

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PLEASEEE HELPP MEE WITH QUESTION 4 AND 5

Answers

Answer:

   4)  c = 38

   5)  x = 50

Step-by-step explanation:

4) The marked angles are a "linear pair", meaning their total is 180°:

  3c° +(2c -10)° = 180°

  5c = 190 . . . . . . . divide by °, add 10, collect terms

  c = 38 . . . . . . . . . divide by 5

__

5) The interior angle at C brings the total of the marked angle and the interior angle to 360°

  330° + (interior angle) = 360°

  (interior angle) = 30° . . . . . . . . . subtract 330°

The interior angles of the triangle total 180°, so we have ...

  x° +2x° +30° = 180°

  3x = 150 . . . . . . . . . . . . . divide by °, subtract 30

  x = 50 . . . . . . . . . divide by 3

Calculate the missing amounts for companies a to e

Answers

Answer:

where is the question?

Step-by-step explanation:

6x - y = 5
3x + y = 4

Answers

Answer:

1.6x-y=5--->equ.(i)

3x+4=y--->equ.(ii)

substitution method

6x-y=5

y=5+6x--->equ (iii)

Replace y=5+6x into equ--->(ii)

3x-5+6x=4

3x+6x=4+5

9x=9

divide both side by 9

9x/9=9/9

x=1

Replace x=1 into equ (iii)

6(1)-y=5

6-y=5

y=5+6

y=11

then your x and y is

x=1,y=11

Themes in The Heart of a Samurai?

Answers

Answer:

Family. Family is what you make of it in Heart of a Samurai.

Language and Communication.

Principles.

Art and Culture.

Identity.

Change.

Society and Class.

Step-by-step explanation:

Hope this helps:)

Someone please help me with this :3

Answers

Answer:

2

Step-by-step explanation:

[tex]\dfrac{\frac{2}{3}}{\frac{1}{3}}=\frac{2}{3}\cdot \frac{3}{1}=\frac{6}{3}=2[/tex]. Hope this helps!

Answer:

2/3 divided by 1/3

Multiply the reciprical



2/3 x 3/1 = 6/3

6/3=2

2 is your answer

Step-by-step explanation:

What is the value of h?
40°
h = 20
h = 35
n = 55
h = 70

Answers

Answer:

55

Step-by-step explanation:

All triangles have a sum of 180°

180 - 40 = 140

Since the triangle is an isosceles triangle, then you are going to divide 140 by 2 because the base angles of an isosceles triangle are congruent.

140 / 2 = 70

Now that we know that the measurement of the two base angles is 70, we can find h.

2h represents the exterior angles. Exterior angles are always supplementary to the interior angles. So, we can simply subtract 70 from 180.

180 - 70 = 110

Now, we can divide 110 by 2 to find h.

110 / 2 = 55

So, h equals 55. So, the answer is the third option.

What is the missing angle of the blue triangle using A^2 + B^2 = C^2

Answers

Answer:

45° 45° 90°

Step-by-step explanation:

The whole figure is a rectangle, so the blue triangle is right. It is isosceles, so the angles are 45° 45° 90°

4(5x + 3y) equal expressions

Answers

Answer:

20x + 12y

Step-by-step explanation:

Apply distributive property.

(4 * 5x) + (4 * 3y)

=> (20x) + (12y)

Answer:

=(4)(5x+3y)

=(4)(5x)+(4)(3y)

=20x+12y

Step-by-step explanation:

=(4)(5x+3y)

=(4)(5x)+(4)(3y)

=20x+12y

Answers above.

Hope this helps.

4. A circle has a circumference of 100 cm. What is the radius of the circle?
A 10
B. 15
C. 100
D200​

Answers

Answer:

[tex]15.90cm[/tex]

hope this helps

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QUICK QUESTION!!WILL GIVE BRAINLIEST

If you pay bus fair for the year ahead , what advantages can I get out of the bus fair, like can I use it to get to other places??

Answers

Answer:

it matters were you are going

Step-by-step explanation:

The following are all 5 quiz scores of a student in a statistics course. Each quiz was graded on a 10-point scale.
6,6, 5, 8, 10
Assuming that these scores constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places.

Answers

Answer:

2

Step-by-step explanation:

Given: 5 quiz scores of a student in a statistics course are 6,6, 5, 8, 10

To find:  standard deviation of the population

Solution:

Mean (M) = [tex]\frac{\sum_{i=1}^{n}x_i}{n}[/tex]

here, [tex]x_i[/tex] denotes number of observations and n denotes number of observations.

Variance = [tex]\frac{\sum_{i=1}^{n}(x_i-M)^2}{n-1}[/tex]

Standard deviation = [tex]\sqrt{variance}[/tex]

[tex]M=\frac{6+6+5+8+10}{5}=\frac{35}{5}=7[/tex]

Variance = [tex]\frac{\sum_{i=1}^{n}(x_i-7)^2}{n-1}[/tex]

[tex]=\frac{\left [ (6-7)^2+(6-7)^2+(5-7)^2+(8-7)^2+(10-7)^2 \right ]}{5-1}\\=\frac{1+1+4+1+9}{4}\\=\frac{16}{4}\\=4[/tex]

Standard deviation = [tex]\sqrt{4}=2[/tex]

92+ 56/14−x =100.
Plz answer fast

Answers

Step-by-step explanation:

don't forget about PEMDAS

Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction

first you're going to want to do 56 / 14.

how many numbers do y’all see? add them all together- once u have found them all.

Answers

Answer:

24

Step-by-step explanation:

6+2+0+4+1+3+8=24

All the numbers to see are, 6, 8, 0, 2, 4, 1.

And, The sum of all the numbers are 21.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Here,

In the figure,

All the numbers which can be seen are,

⇒ 6, 8, 0, 2, 4, 1

Now, Add all the numbers, we get;

⇒ 6 + 8 + 0 + 2 + 4 + 1

⇒ 21

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Suppose A is an m × n matrix in which m> n. Suppose also that the rank of A equals n Show that A is one to one. Hint: If not, there exists a vector x such that Ax = 0, and this implies at least one column of A is a linear combination of the others. Show this would require the rank to be less than n.

Answers

Step-by-step explanation:

If T:Rn→Rm is a linear transformation and if A is the standard matrix of T, then the following are equivalent:

 1.  T is one-to-one.

 2. T(x) = 0 has only the trivial solution x=0.

 3.  If A is the standard matrix of T, then the columns of A are linearly independent.

Here, A is a mxn matrix where m ≥ n and the rank of A equals n. It implies that the columns of A are linearly independent, for, otherwise, the rank of A would be less than n. Hence the linear transformation represented by A is one-to-one.

sec²θ=4+2tan²θ
Find θ​

Answers

Recall the Pythagorean identity,

[tex]\sec^2\theta=1+\tan^2\theta[/tex]

So we have

[tex]\sec^2\theta=4+2\tan^2\theta[/tex]

[tex]1+\tan^2\theta=4+2\tan^2\theta[/tex]

[tex]-3=\tan^2\theta[/tex]

But squaring any real number always gives a non-negative number, so there are no real solutions to this equation.

What' the mean 3,2,2,12 6,5,14,4

Answers

Answer: 6

Explanation: The mean of a data set is the sum of the numbers in the data set divided by however many numbers are in the data set.

So, let's begin by adding the numbers.

So we have 3 + 2 + 2 + 12 + 6 + 5 + 14 + 4 which is 48.

Now we divide 48 by the number of numbers in the set which is 8.

48 ÷ 8 is 6.

So the mean of the given data set is 6.

whats the answer for G over 13 equals 52 ​

Answers

Answer:

  g = 676

Step-by-step explanation:

Multiply by 13:

  g/13 = 52

  13(g/13) = 13(52)

  g = 676

Please help me?? I am struggling and i need help :?/
I will mark you as the brainliest and i will give you points :)

Answers

Answer:

ZYX- CBA

Step-by-step explanation:

ZYX is backwards

so cba needs to be too

Answer:

ZYX-CBA

Step-by-step explanation:

welcome

leroy draws a rectangle that has a length of 11.9 centimiters and a width of 7.6 centimieters.how much longer is the length than the width of leroys rectangle

Answers

Answer:

4.3 cm

Step-by-step explanation:

length - width: 11.9 - 7.6 = 4.3

The required answer is 4.3 cm.

What is Subtraction?

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

Here given that,

He draws a rectangle that has a length of 11.9 cm.

And, a width of 7.6 cm

The required answer is:

length - width: 11.9 - 7.6 = 4.3

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Write the equation of the circle graphed below

Answers

Answer:

O

Step-by-step explanation:

THIS IS ASSUMING THAT THE RADIUS OF THE CIRCLE IS 4 1/4 UNITS!

Answer:

Standard Equation: (x + 5)^2 + (y+5)^2 = 18.06

General Form: x^2 + 10x + y^2 + 10y + 31.94 = 0

A seed sprouted and grew 2/3 of a foot in 3 months. What was its rate of growth?

Answers

Answer:

2/9 of a foot in one month / 8/3 inches in one month

Step-by-step explanation:

Answer:

2/9 of a foot

Step-by-step explanation:

It grows 2/3 ft in 3 months

Therefore it grows in one month

2/3. / 3 = 2/3 × 1/3= 2/9 of a foot

Rate is the amount taken for one of a unit of measure, in this case, it is month.

A circle has an area of 49 cm^2. how do I find the circumference?

Answers

Answer:

28.81cm

Step-by-step explanation:

c=2TTy

What is the perimeter of rectangle JKLM with vertices J(-1,3),K(2,3),L(2,-5), and M(-1,-5)

Answers

Answer:

And we can find the distance between JK like this:

[tex] d_{JK} =\sqrt{(3-3)^2 +(2+1)^2}= 3[/tex]

And we can do something similar for KL and we got:

[tex] d_{KL} =\sqrt{(-5-3)^2 +(2-2)^2}= 8[/tex]

And we can do something similar for LM and we got:

[tex] d_{LM} =\sqrt{(-5+5)^2 +(-1-2)^2}= 3[/tex]

And we can do something similar for MJ and we got:

[tex] d_{MJ} =\sqrt{(-5-3)^2 +(-1+1)^2}= 8[/tex]

And the perimeter would be:

[tex] P = d_{JK} + d_{KL} +d_{LM} +d_{MJ} = 3+8+3+8 =22[/tex]

Step-by-step explanation:

For this case we can use the formula for the euclidean distance given by:

[tex] d = \sqrt{(y_2 -y_1)^2 +(x_2 -x_1)^2}[/tex]

And we can find the distance between JK like this:

[tex] d_{JK} =\sqrt{(3-3)^2 +(2+1)^2}= 3[/tex]

And we can do something similar for KL and we got:

[tex] d_{KL} =\sqrt{(-5-3)^2 +(2-2)^2}= 8[/tex]

And we can do something similar for LM and we got:

[tex] d_{LM} =\sqrt{(-5+5)^2 +(-1-2)^2}= 3[/tex]

And we can do something similar for MJ and we got:

[tex] d_{MJ} =\sqrt{(-5-3)^2 +(-1+1)^2}= 8[/tex]

And the perimeter would be:

[tex] P = d_{JK} + d_{KL} +d_{LM} +d_{MJ} = 3+8+3+8 =22[/tex]

The perimeter of the rectangle with the given vertices is: 22 units.

Recall:

Perimeter of a rectangle = 2(length x width)Distance between two vertices is calculated using: [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex]

Thus, find the length (JK) and width (KL) of the rectangle.

Width of rectangle = distance between J(-1,3) and K(2,3):

Substitute

[tex]JK = \sqrt{(3 - 3)^2 + (2 - (-1))^2} \\\\JK = \sqrt{(0)^2 + (3)^2} \\\\JK = \sqrt{9} \\\\JK = 3[/tex]

Length of rectangle = distance between K(2,3) and L(2,-5)

Substitute

[tex]KL = \sqrt{(-5 - 3)^2 + (2 - 2)^2} \\\\KL = \sqrt{(-8)^2 + (0)^2} \\\\KL = \sqrt{64} \\\\KL = 8[/tex]

Perimeter of the rectangle = 2(length x width)

Substitute

Perimeter of the rectangle = 2(8 + 3)

Perimeter = 2(11)

Perimeter = 22 units

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Triangle ABC work out area of triangle

Answers

Answer:

Step-by-step explanation:I don't say you must have to mark my ans as brainliest but my friend if it has really helped you plz don't forget to thank me...

Answer:

2.5*4.6*0.5

= 2.5*2.3

= 5.75

Rounded to one decimal = 5.8

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