Consider the scatter plot.

The line of best fit for the data is y = 4.5x + 75.

Predict the interest earned after 12 years.


129

135

120

144

Answers

Answer 1

[tex]x=12, so\\y=4.5 \times 12+75\\y=129[/tex]

Answer: 129

Answer 2

Answer:

A

Step-by-step explanation:

If the best fit for the data is y = 4.5x + 75, we simply want to plug 12 in for x and solve for y:

y = 4.5 * 12 + 75 = 129

The answer is A.

Hope this helps!


Related Questions

The three inside angles (a,b and c) of a right-angled triangle are in the ratio 7:18:11
the smallest angle is 35 degrees
workout angles a,b and c

Answers

Answer:

The three angles of the right-angled triangle are

a = 35°

b = 90°

c = 55°

Step-by-step explanation:

We are given the ratio of angles of a right-angled triangle

a:b:c = 7:18:11

Recall that the sum of interior angles in a right-angled triangle is always 180°

7x + 18x + 11x = 180

36x = 180

x = 180/36

x = 5

a:b:c = 7x:18x:11x

a:b:c = 7(5):18(5):11(5)

a:b:c = 35:90:55

a = 35°

b = 90°

c = 55°

Alternatively:

We are given that the smallest angle is 35°

a = 7x = 35

x = 35/7

x = 5

b = 18x

b = 18(5)

b = 90°

c = 11x

c = 11(5)

c = 55°

Answer:

Step-by-step explanation:

solution

sum of angles on a triangle=180

total ratio=7+18+11=36

for angle a: (7/36)x180=35°

for angle c: (11/36)x180=55°

for angle b: (18/36)x180=90°

therefore: the 3 angles are 35°, 90°, 55°.

Gas prices have really decreased in the past month. At the beginning of March I paid $2.15 per gallon. I just recently filled my tank and it was $1.56. What was the percent of decrease to the nearest tenths place?

Answers

Answer: 27.44 % decrease in gas prices

Step-by-step explanation: First subtract 2.15 by 1.56 to get 0.59

then divide it by the starting value which is 2.15

0.59 divided by 2.15 is  approximately 0.2744

then multiply times 100 to get 27.44 %

hope this helps mark me brainliest if it helped

Can someone help please???

Answers

Answer:

Length: x + 5

Step-by-step explanation:

x² + 8x + 15 = length × width

x² + 8x + 15

x² + 5x + 3x + 15

x(x + 5) + 3(x + 5)

(x + 5)(x + 3)

Width: (x + 3)

Length: (x + 5)

A rectangle has two pairs of sides of equal length.Explain how you can find the unknown length of two sides when the length of one side is 4 units, and the perimeter is 14 units.

Answers

multiply 4x2 since the opposite side is the same length, and then subtract the answer (8) from the perimeter (14 units) and you’ll get 6. and then divide 6 into 2 since there is 2 more congruent sides, and you will get 3.

Final answer:

To find the unknown side lengths of a rectangle with a perimeter of 14 units and one known side length of 4 units, use the perimeter formula, resulting in the unknown sides being 3 units each.

Explanation:

To find the unknown lengths of the sides of a rectangle when one side length is 4 units and the perimeter is 14 units, first understand that the perimeter of a rectangle is calculated using the formula 2(length + width). Since the perimeter is 14 units, we can set up the equation 2(l + 4) = 14, where l represents the unknown length.

Dividing both sides by 2, we get l + 4 = 7. Subtracting 4 from both sides yields l = 3 units. Therefore, the lengths of the two unknown sides are 3 units each, as a rectangle has two pairs of sides of equal length, indicating the width in this case is 3 units.

What is the surface area of the cylinder?
Use a = 3.14 and round to the nearest tenth, if needed.
d= 4 cm
8.2 cm
OA) 32.8 cm2
OB) 128.1 cm2
OC) 103 cm2
OD) 422.3 cm?

Answers

[tex] \qquad \qquad\large\rm{Together \: We \: Go \: Far!} \\ \qquad \qquad \sf \small{\red{♡}\:Swifties\:\red{♡}}[/tex]

Question :-

A cylinder has a diameter of 4 cm and a height of 8.2 cm. What is the surface area of the cylinder?

Answer :-

The surface area of the cylinder is 128.112 cm². Thus, the 2nd option, B makes it as the correct answer.

[tex] \rule{180pt}{3pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{2 \: cm}}\put(9,17.5){\sf{8.2 \: cm}}\end{picture}[/tex]

Solution :-

As per the provided information in the given question, we have been given that the diameter of the cylinder is 4 cm. Thus, the radius of the cylinder is 2 cm. The height of the cylinder is 8.2 cm. We have been asked to find or calculate the surface area of the cylinder.

To calculate the surface area of the cylinder, we will use the formula below :-

[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh \:\:}}[/tex]

Substitute the given values into the above formula and solve for surface area:

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh[/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(2 \: cm)^2 + (2)(3.14)(2 \: cm)(8.2\:cm) [/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(4 \: cm^2) + (2)(3.14)(16.4\:cm^2) [/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(12.56 \: cm^2) + (2)(51.496 \: cm^2) [/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 25.12 \: cm^2 + 102.992 \: cm^2 [/tex]

[tex]\sf:\implies \bf{Surface \: Area_{(Cylinder)} = 128.112 \: cm^2}[/tex]

Therefore :-

The surface area of the cylinder is 128.112 cm². Thus, the 2nd option, B makes it as the correct answer.

[tex]\\[/tex]

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Have a great day! <33

Please answer this correctly

Answers

Answer:

13

Step-by-step explanation:

8 - (-5) = 13

Since x is the same in both points we only have to count the y

(8c2-2c) + (2c2+3c) in standard form

Answers

Answer:

Step-by-step explanation:

hello :

(8c²-2c) + (2c²+3c)= (8c²+3c²)+(3c-2c) =11c²+c .....standard form

Chrissy went to the grocery store Thursday night and spent $22.54. She paid
$3.22 for three fruit bars. The remainder of the food was for a party she
planned to give on Friday night. How much did she spend on food for the party?

Answers

Answer:

19.32

Step-by-step explanation:

Final answer:

The amount Chrissy spent on food for the party is determined by subtracting the cost of the fruit bars, $3.22, from her total amount spent, $22.54. This leads to a result of $19.32.

Explanation:

The subject of this question is Mathematics, specifically subtraction. To figure out how much Chrissy spent on food for the party, you have to deduct the cost of the three fruit bars from the total amount she spent that day.

Given:
Total amount spent by Chrissy = $22.54
Cost of three fruit bars = $3.22

By subtracting the amount she spent on the fruit bars from the total amount:
Amount spent on the party = Total amount spent - Cost of the fruit bars
Thus, Amount spent for the party = $22.54 - $3.22 = $19.32

Therefore, Chrissy spent $19.32 on food for the party.

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complications
A. a difficult situation a character faces to solve a problem
B. the action of the story from the opening to the resolution
D. what or who tries to keep the main character from his goal

Answers

A. a difficult situation a character faces to solve a problem

How do you round a decimal to the nearest degree?

Answers

By multiplying the round with the decimal number and you get the nearest degree

Often in statistics research, a population is too large to collect data on. A sampling distribution of a statistic is created by taking repeated samples of a certain size. But the most accurate information will be gained by taking every possible sample of a certain size.

A population of size 4 has 6 possible samples of size 2. Use this fact to explain why taking every sample of a certain size is not done for a population too large to analyze.

Answers

Final answer:

For large populations, taking every possible sample of a certain size becomes unfeasible due to the rapidly increasing number of combinations. Hence, random sampling methods are used to capture the population characteristics in a practical way, with larger samples providing more reliable statistics.

Explanation:

When a population size is large, it becomes impractical to take every sample of a certain size due to the combinatorial explosion in the number of potential samples. For instance, with a population of size 4, there are 6 possible samples of size 2, which is manageable. However, as the population size increases, the number of possible samples grows astronomically, making it unfeasible to examine them all. This is why sampling is a vital technique.

Random sampling methods like simple random sampling, stratified sampling, cluster sampling, and systematic sampling are employed to ensure each individual has an equal chance of being selected, which helps in capturing the characteristics of the entire population in the sample. Larger sample sizes are generally preferred as they reduce sampling variability and provide more reliable statistics.

Some people have freckles, and some people do not
have freckles. If a child has freckles, at least one parent
has freckles. However, the child may have a sibling that
does not have freckles. Which statement best describes
the presence of freckles? 1.Freckles are not determined
by DNA. 2. There are two alleles for freckles. 3.There is no
dominant allele for freckles. 4.Freckles are determined by
two genes instead of by one. If Mendel had crossed a true
breeding dominant plant with a true breeding recessive
plant, in which of the three generations is the recessive
trait visible? 1.F1 generation 2.P generation 3.F1 generation
and F2 generation 4.P generation and F2 generation.

Answers

Answer:I think freckles are not determined by DNA

Step-by-step explanation:

I have freckles and none of my parents do or ever have had freckles.

Answer:

There are two alleles for freckles

Step-by-step explanation:

100 on edg

A rectangle has a height of 6k^3 and a width of 2k^2 + 4K +5 what is the area

Answers

Answer:

The answer is 12k^5+24k^4+30k^3.

Step-by-step explanation:

You want to multiply the height by width to find area. Multiply 6k^3 times 2k^2+4k+5. 6k^3(2k^2+4k+5)= 12k^5+24k^4+30k^3.

Final answer:

The area of a rectangle with a height of 6k³ and a width of 2k² + 4k + 5 is calculated by multiplying the height by the width, resulting in 12k⁵ + 24k⁴ + 30k³.

Explanation:

To calculate the area of a rectangle, you multiply the height by the width. The given height of the rectangle is 6k³ and the width is 2k² + 4k + 5. Applying the formula for the area of a rectangle, we have:

A = height × width

A = 6k³ × (2k² + 4k + 5)

To find the area, distribute the height into each term of the width:

A = (6k³ × 2k²) + (6k³ × 4k) + (6k³ × 5)

A = 12k⁵ + 24k⁴ + 30k³

The area of the rectangle is 12k⁵ + 24k⁴ + 30k³.

There are four styles of a notebook available at a store: a plain black one, a glittery silver one, a shiny gold one, and a reflective turquoise one. The store looks at samples of four purchases in a row of these notebooks, with the following results:

{black, gold, gold, silver}

{turquoise, black, silver, gold}

{gold, silver, turquoise, turquoise}

{silver, silver, silver, turquoise}

{silver, black, gold, gold}

{gold, turquoise, black, black}

Using the mean of the sampling distribution of the proportion for each color, which notebook(s) is likely the most popular?

The black notebook.
The gold notebook.
The silver notebook.
The turquoise notebook.
Both the silver and gold notebooks.
Both the black and turquoise notebooks.

Answers

Answer:

gold and silver

Step-by-step explanation:

help me answer this or ima get a butt whoping
solve for y
64−(3y+8y+y)÷40=37

Answers

Answer:

y= 90

Step-by-step explanation:

64−(3y+8y+y)÷40=37

Combine terms in the parentheses

64−(12y)÷40=37

Subtract 64 from each side

64-64−(12y)÷40=37-64

-(12y)÷40=-27

Multiply each side by 40

-(12y)÷40*40=-27*40

-12y =-1080

Divide each side by -12

-12y/-12 = -1080/-12

y =90

Answer:

y= 90

Step-by-step explanation:

64−( 3y+8y+y 40 )=37 64+ −3 10 y=37 −3 10 y+64=37

Step 2: Subtract 64 from both sides.

−3 10 y+64−64=37−64 −3 10 y=−27

Step 3: Multiply both sides by 10/(-3).

( 10 −3 )*( −3 10 y)=( 10 −3 )*(−27) y=90

What is a reasonable constraint for the model -3.2 2.62 -3.2 0

Answers

Answer:

The answer to your question is C. 3.2

Step-by-step explanation:

 | 3.2 |

lines |  |  mean absolute value, and absolute value means the distance of a number to the origin (0,0) it does not matter the sign.

Then to answer your question just do not write the |  |  and consider it as a positive sign.

If your question had a negative number  ex. | -3.2 | the answer would also be 3.2.

Step-by-step explanation:

what is the surface area of the cylinder? Use 3.14 for pi and round your answer to the nearest hundredth

Answers

Answer:

954.56 in²

Step-by-step explanation:

A = 2×π·r² + 2·π·r·h

= 2×3.14×64 + 2×3.14×8·11

= 401.92 + 552.64

= 954.56 in²

2. Carolyn drew a rhombus ABCD. Fill in the blanks.

BC

BC

AD

and AB

AB

DC

and

is parallel to, is equal to

is not parallel to, is not equal to

is parallel to, is not equal to

is not parallel to, is equal to

Answers

Answer:

A. Line AB is parallel to, is equal to Line DC

Step-by-step explanation:

A rhombus is a quadrilateral whose four sides have the same length. It is similar to a square in the sense that it has all its four sides having equal length. It is basically a square which is tilted at an angle. It is also called an equilateral quadrilateral.

Line AB is equivalent to Line DC & both lines are parallel one to another; the same is the relationship between Line BC & Line AD (You can check the attached image for more clarity)

Hence, option A is the answer - Lines AB & DC are parallel & equal to one another

Answer:

is parallel to, is equal to

Step-by-step explanation:

A rhombus has two sets of parallel sides. All four sides are equal in length.

Big Al's Snack Stand sells burgers and sandwiches. Big Al puts three tomato slices on each burger and four tomato slices on each sandwich. If he sells b burgers and s sandwiches, which expression represents the number of tomato slices that he will use?
A.
3b × 4s
B.
3s + 4b
C.
3b + 4s
D.
(b + 3) × (s + 4)

Answers

Answer:

Step-by-step explanation:

The answer is A, just got it wrong because I selected b. Answer is A.

if you are given a 2% raise and the inflatoin is 3%, you are

Answers

Making less money in today’s dollars (option c)

Factor the following polynomial by finding a GCF.

18w2 - 27w

Answers

Answer:

9w(2w+3)

Step-by-step explanation:

18 w^2 = =2*9*w*w=2*3*3*w*w

27w = 3*9*w=3*3*3*w

We can factor out 3*3*w = 9w

3*3*w(2*w+3)

9w(2w+3)

Answer:

9w(2w+3)

Step-by-step explanation:

just trust

The solid figure shown here can be formed from which net?​

Answers

Answer:

B

Step-by-step explanation:

If you unfold it you get shape B

Answer:

B.

Step-by-step explanation:

What is the slope of the line?
y+3=-4(x+7)

Answers

We don't really have to put this in slope intercept form; it would clearly end up as

y = -4x + something

so we know the slope is -4.

Answer:  C)   -4

The short answer is c

Help me pleaseeeee !

Answers

Answer:

The 1st one, the 3rd one, and the 4th one.

Step-by-step explanation:

Describe The Function Between x= -4 and x= -1

Answers

Answer:

between x=-4 and x=-1 the graph is a straight line so it it linear and the graph is going up and to the right so it is increasing so between x=-4 and x=-1 the graph is linear and increasing

Step-by-step explanation:

Answer:

linear and increasing

What is the solution to the system of equations?

3 x minus 4 y = 16. 2 x + 3 y = 5.
(–4, 1)
(4, –1)
(–4, –1)
(4, 1)

Answers

Answer:

(4, -1)

Step-by-step explanation:

3 x minus 4 y = 16

2 x + 3 y = 5

3x - 4y = 16

2x + 3y = 5

x = 2.5 - 1.5y

3(2.5 - 1.5y) - 4y = 16

7.5 - 4.5y - 4y = 16

-8.5 = 8.5y

y = -1

x = 2.5 - 1.5(-1)

x = 2.5 + 1.5

x = 4

(4, -1)

The solution to the system of equations 3x - 4y = 16 and 2x + 3y = 5

is (4, - 1).

What are the three types of solutions of a linear system of equations?

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.

Given, A system of linear equations 3x - 4y = 16 and 2x + 3y = 5.

Multiplying equation (i) by 2 and equation (ii) by 3 we have,

6x - 8y = 32 and 6x + 9y = 15.

Subtracting equation (iii) from (iv) we have,

9y + 8y = 15 - 32.

17y = - 17.

y = -1 and, 6x - 8(-1) = 32 ⇒ 6x + 8 = 32 ⇒ 6x = 24 ⇒ x = 4.

So, The solution to the system of equations is (4, - 1).

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Use the diagram, which is not drawn to scale, to decide which proportions are true.


Answers

Answer:

a.

Step-by-step explanation:

I and IV only, are true proportions

Adding 6 to triple a number gives 21

Answers

Step-by-step explanation:

Let the required number be x.

[tex] \therefore \: 3x + 6 = 21 \\ [/tex]

What is the nth term rule of the linear sequence below? 15 , 7 , − 1 , − 9 , − 17 , . . .

Answers

Final answer:

The nth term rule of the given linear sequence is -8n + 23. It follows the pattern of subtracting 8 from the previous term. So, each term in the sequence is obtained by -8n + 23.

Explanation:

The nth term rule of the given linear sequence is -8n + 23.

To find the nth term rule, we can observe that each term is obtained by subtracting 8 from the previous term. Therefore, the sequence follows the pattern:

1515 - 8 = 77 - 8 = -1-1 - 8 = -9-9 - 8 = -17and so on

So, we can generalize the sequence as -8n + 23, where n represents the position of the term in the sequence.

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12 + 3y − 8 − 7y = ?

Answers

Answer: -4y + 4

Step-by-step explanation: 12 + 3y - 8 - 7y

                                              12 + 3y + -8 + -7y

                                             (3y + -7y) + (12 + -8)

                                             = -4y + 4

12-8= 4
3y-7y= -4y

Answer: 4 - 4y
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