PLEASE HELP!!! MIDDLE SCHOOL MATH


Based on the scatter plot below, which is a better prediction for y when x = 74?


PLEASE LOOK AT THE PICTURE!!!!!!!!!!!!!!

PLEASE HELP!!! MIDDLE SCHOOL MATHBased On The Scatter Plot Below, Which Is A Better Prediction For Y

Answers

Answer 1

The better prediction for y, when x = 74, based on the scatter plot, can be found to be 57.

How to find the better prediction ?

Looking at the scatter plot, the better prediction of y when the value of x is 74 can be found by looking for the values of y that have a value of x that is around 74.

From the scatter plot, we see that the value of x of 74, would correspond with the value of y of 57. We can therefore infer that y = 57 is the better prediction for x = 74.

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Related Questions

Mackenzie answered 72 questions correctly on her multiple choice math final that had a total of 160 problems. What percentage of questions did Mackenzie answer correctly on the final exam?

Answers

Answer:

45%

Step-by-step explanation:

72/160 = 0.45

0.45 x 100 = 45%

What is the length of the diagonal from P to Q ?

Answers

Step-by-step explanation:

Use a modified Pythagorean theorem for 3 -D

diagonal = sqrt ( 9^2 + 12^2 + 8^2 ) = sqrt(289) = 17  units

if L(x) =sinx-cosx, then dxy=?​ A. cosx+sinx B. cosx-sinx C. sin²x+cosx D. none​

Answers

Answer: To find d(L(x))/dx, we need to differentiate L(x) with respect to x using the derivative rules.

d(L(x))/dx = d/dx (sinx - cosx)

= cosx + sinx

Therefore, the correct answer is option A, cosx+sinx.

Step-by-step explanation:

1. What is Maxwell's filing status?
a. Single
b. Married filing jointly
c. Head of household
d. Dependent

Answers

Maxwell's filing status can be described as: b. Married filing jointly.

What is a filing status?

A filing status is a category that defines your tax-filing status based on your marital status and family situation. The filing status determines tax rate and standard deduction, as well as the eligibility for certain credits, deductions, and exemptions.

Maxwell can be described as married filing jointly because he and his spouse combined their income, deductions, and credits on one tax return. This status generally results in lower tax rates and a larger standard deduction compared to filing separately.

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If a 95% confidence interval for is calculated to be (21.4 , 27.9) , what would be the result of a hypothesis test at a 5% significance level performed on the set of hypotheses?
H0: mean = 27
Ha: mean different 27

Answers

Based on the given 95% confidence interval of (21.4, 27.9), we can see that it does not include the hypothesized mean of 27 within its range. This means that the data used to calculate the confidence interval provides evidence against the null hypothesis (H0: mean = 27) and suggests that the true population mean is likely to be different from 27.

Since the confidence interval does not include the hypothesized mean of 27, we can reject the null hypothesis at the 5% significance level. In other words, we have enough evidence to conclude that the true population mean is different from 27 based on the given confidence interval.

This result is consistent with the alternative hypothesis (Ha: mean different from 27), which states that the true population mean is not equal to 27. Thus, we can reject the null hypothesis in favor of the alternative hypothesis at the 5% significance level based on the given confidence interval.

What is 5a^2b + 15ab^2​ factories fully

Answers

Answer:

[tex]5 {a}^{2} b + 15a {b}^{2} = [/tex]

[tex]5ab(a + 3b)[/tex]

Three fair coins are tossed. How many different outcomes will
there be?

Answers

Answer:

just 2 outcomes

Step-by-step explanation:

no matter how often you throw it, there are only two sides available

Based on the information in the table, what
was the approximate value of this item in
1980?

Answers

Answer:

B) 4,700

Step-by-step explanation:

6000 - 4000 = 2000

2000 in 15 year, find how much for each year

2000/ 15 = 133.3333333

133.3333333 estimated = 133

133 approximately for each year

1975 to 1980 is five years

133 x 5 = 665

4000 + 665 = 4665

4665 rounded the the nearest hundred

4700

raph the image of △BCD after a dilation with a scale factor of
1/3, centered at the origin.

Answers

Therefore, The dilated image's vertices are as follows:B'(2 , 3)   C'(3 , 3)     D'(1 , 3)

dilated image definition ?

It is not necessary for the dilation's center to be inside the form. It might be the polygon's vertices. The preimage is still a square in this case, but the center of the dilatation is at the top-left vertex, which is shared by both of the dilated pictures (one smaller and one larger).

To get the vertices of the dilated image, multiply each vertex's coordinate by a factor of three.

B(6,9)⇒B'(1/3×6,1/3×9) = B'(2 , 3)

C(9,9)⇒C'(1/3×9 , 1/3×9) = C'(3 , 3)

D(3,9)⇒D'(1/3×3 ,1/3×9) = D'(1 , 3)

The dilated image's vertices are as follows:

B'(2 , 3)   C'(3 , 3)     D'(1 , 3)

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Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.

Answers

The answer of the given question based on the Rectangular prism is , the surface area of the given triangular prism is 3360 cm².

What is Rectangular prism?

A rectangular prism is a three-dimensional geometric shape with six rectangular faces. It is also known as rectangular parallelepiped or cuboid. A rectangular prism has a length (l), width (w), and height (h) and the formula for the volume of a rectangular prism is given as V = l * w * h.

To find the surface area of a triangular prism, we need to add up the areas of all of its faces. A triangular prism has two identical triangular bases and three rectangular faces.

First, let's find the area of the triangular base. We know that it is an isosceles triangle with a perpendicular height of 35 cm and base of 24 cm, and the length of the two equal sides is 37 cm. We can use the formula for the area of a triangle:

Area of base = (1/2) * base * height

Area of base = (1/2) * 24 cm * 35 cm

Area of base = 420 cm²

Since there are two identical bases, we can multiply this by 2 to get the total area of the triangular bases:

Total area of bases = 2 * 420 cm²

Total area of bases = 840 cm²

Now, let's find the area of the three rectangular faces. We know that the height of the prism is 35 cm, and the length of each rectangular face is equal to the base of the triangular base, which is 24 cm. To find the width of each rectangular face, we need to use the Pythagorean theorem to find the length of the altitude of the triangular base:

a² + b² = c²

where a and b are the two equal sides of the triangular base, and c is the base.

Substituting the given values, we get:

a² + b² = c²

37² + 12² = c²

1369 + 144 = c²

c² = 1513

c = √1513

c = 38.95 cm

Therefore, the altitude of the triangular base is approximately 35 cm, and we can use this value as the width of each rectangular face. So, area of each rectangular face is given:

Area of each rectangular face = length*width

Area of each rectangular face = 24 cm * 35 cm

Area of each rectangular face = 840 cm²

Since there are three identical rectangular faces, we can multiply this by 3 to get the total area of the rectangular faces:

Total area of rectangular faces = 3 * 840 cm²

Total area of rectangular faces = 2520 cm²

Finally, we can find the total surface area of the prism by adding the areas of the two triangular bases and the three rectangular faces:

Total surface area = Total area of bases + Total area of rectangular faces

Total surface area = 840 cm² + 2520 cm²

Total surface area = 3360 cm²

Therefore, the surface area of the given triangular prism is 3360 cm².

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find the gcf of 8a^3b^2 and 12ab^4

Answers

Answer:

To find the greatest common factor (GCF) of 8a^3b^2 and 12ab^4, we need to factor each term into its prime factors and then find the common factors.

8a^3b^2 can be written as:

8a^3b^2 = 2^3 * 2 * a * a * a * b * b

12ab^4 can be written as:

12ab^4 = 2^2 * 3 * a * b * b * b * b

The common factors are 2, a, and b^2.

Therefore, the GCF of 8a^3b^2 and 12ab^4 is:

2 * a * b^2 = 2ab^2

Two numbers to have a hcf of 4 one of the numbers is between 10 and 20 and the other is between 20 and 40 what are the two numbers find all possible answers

Answers

To find all possible answers, we can start by listing all the numbers between 10 and 20, and all the numbers between 20 and 40, and then check which pairs of numbers have a highest common factor of 4.

Numbers between 10 and 20: 10, 11, 12, 13, 14, 15, 16, 17, 18, 19

Numbers between 20 and 40: 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40

To have a highest common factor of 4, both numbers must be divisible by 4. Therefore, we can eliminate any numbers in these lists that are not divisible by 4.

Numbers between 10 and 20 that are divisible by 4: 12, 16, 20

Numbers between 20 and 40 that are divisible by 4: 20, 24, 28, 32, 36, 40

Now we can check which pairs of these numbers have a highest common factor of 4.

some possible answers are:

12 and 20

12 and 24

12 and 28

12 and 32

12 and 40

16 and 20

16 and 24

16 and 28

16 and 32

16 and 40

20 and 24

20 and 28

20 and 32

20 and 36

20 and 40

there are more answers, all you have to do is to pair 2 numbers.

if you do not want to include 20 and 40 make sure to not chose them.

Hope this could help.

need help please thanks

Answers

Answer:

a)

[tex]y = 7( {1.03}^{t} )[/tex]

[tex]y = 7( {1.03}^{5} ) = 8.11[/tex]

There were about 8.11 billion subscribers in 2019.

b)

[tex]7( {1.03}^{t}) = 7.5[/tex]

[tex]t = 2.33 \: years \: after \: 2014[/tex]

sometime in 2016

PLEASE HELP ON QUESTION!(if answer and explanation is correct I'll rate you five stars a thanks and maybe even brainly. Also your very smart!)

What is value of x in this equation:


4x+15=33-2x

Answers

Answer: Simplifying

4x + 15 = 33 + -2x

Reorder the terms:

15 + 4x = 33 + -2x

Solving

15 + 4x = 33 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.

15 + 4x + 2x = 33 + -2x + 2x

Combine like terms: 4x + 2x = 6x

15 + 6x = 33 + -2x + 2x

Combine like terms: -2x + 2x = 0

15 + 6x = 33 + 0

15 + 6x = 33

Add '-15' to each side of the equation.

15 + -15 + 6x = 33 + -15

Combine like terms: 15 + -15 = 0

0 + 6x = 33 + -15

6x = 33 + -15

Combine like terms: 33 + -15 = 18

6x = 18Divide each side by '6'.

x = 3

Simplifying

x = 3

so X=3 is your answer

A hard drive has enough storage space left for 7 1/2 hours of TV programmes. How many programmes each lasting 5/6 of an hour can be recorded on the hard drive?

Answers

Answer:

9

Step-by-step explanation:

7 1/2 divided by 5/6 would equal 9.

first step: convert the mixed number into an improper fraction.

7 1/2 = 15/2

2nd step: change the operation. (KCF)

keep the first term - change the operation - flip the second term

so, 15/2 x 6/5 =.

15x6=90

2x5=10

90/10 = 9

hope it helps!

Can you write equation in conic form?

Answers

The equation x = 1/16y² - 1/8y + 17/16 in conic form is (y - 1)² = 16(x - 1)

Writing the equation in conic form?

From the question, we have the following parameters that can be used in our computation:

x = 1/16y² - 1/8y + 17/16

Multply through the equation by 16

S, we have

16x = y² - 2y + 17

Rewrite as

16x - 17 = y² - 2y

Add the square of half the coefficient of y to both sides

So, we have

16x - 17 + 1 = y² - 2y + 1

Evaluate and express as perfect squares

16x - 16 = (y - 1)²

Factor out 16

16(x - 1) = (y - 1)²

Rewrite as

(y - 1)² = 16(x - 1)

The above equation is an equation of a parabola whose inverse has been calculated

Hence, the conic equation is (y - 1)² = 16(x - 1)

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XYZ Software employed three different salespeople last year. Person 1
earned $4700 in the first quarter, Person 2 earned $19,800 in the first quarter,
and Person 3 earned $6500 in the first quarter. What are the maximum FUTA
deductions for the first quarter?
OA. $291.40
OB. $1227.60
C. $403.00
D. $1128.40

Answers

The maximum FUTA deductions for the first quarter is $1092.Because none of the given options correspond to this result, the correct answer is not listed.

The Federal Unemployment Tax Act (FUTA) tax rate is 6% on the first $7,000 paid to each employee in a calendar year. Therefore, the maximum FUTA deduction for each employee is $420 ($7,000 x 0.06).

Person 1 earned $4700, so the FUTA deduction for Person 1 is $282 ($4700 x 0.06).

Person 2 earned $19,800, but only the first $7,000 is subject to FUTA. Therefore, the FUTA deduction for Person 2 is $420.

Person 3 earned $6500, so the FUTA deduction for Person 3 is $390 ($6500 x 0.06).

The total FUTA deduction for the first quarter is the sum of the FUTA deductions for each employee:

$282 + $420 + $390 = $1092

Therefore, the maximum FUTA deductions for the first quarter is $1092.Because none of the given options correspond to this result, the correct answer is not listed.

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A movie theater has a seating capacity of 257. The theater charges $5.00 for children, $7.00 for
students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket
sales was $ 1870, How many children, students, and adults attended?

Answers

The attendance at the movie theatre is;

Children = 142

Students = 44

Adults = 71

What is arithmetic?

Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots.

Here, we have

Given:

Seating capacity = 257

Charges: Children = $5.00; Students = $7.00; Adults = $12.00

Total sales of ticket = $1870

A number of children, students, and adults were present in the theatre.

Let A, C, and S represent adults, children, and students respectively.

There are half as many adults as there are children; this means that

A = ½C

If the total seat capacity is 257, then

A + C + S = 257

Also, if the total sales of tickets are $1870, then

12A + 7S + 5C = 1870

So, we have two equations to be solved simultaneously.

A + C + S = 257 --- (1)

12A + 7S + 5C = 1860 --- (2)

Substitute ½C for A in (1) and (2)

½C + C + S = 257

Multiply both sides by 2

2(½C + C + S) = 2 * 257

C + 2C + 2S = 514

3C + 2S = 514 ----- (3)

12(½C) + 7S + 5C = 1870

6C + 7S + 5C ,= 1870

6C + 5C + 7S = 1870

11C + 7S = 1870 --- (4)

Make S the subject of the formula in (3)

2S = 514 - 3C

S = ½(514 - 3C)

S = 257 - 1.5C

Substituton 257 - 1.5C for S in (4)

11C + 7(257- 1.5C) = 1870

11C + 1799 - 10.5C = 1870

Collect like terms

11C - 10.5C = 1870 - 1799

0.5C = 71

Multiply both sides by 2

2 * 0.5C = 2 * 71

C = 142

Recall that

S = 257 - 1.5C

S = 257 - 1.5(142)

S = 257 - 213

S = 44

Also, recall that

A = ½C

A = ½ * 142

A = 71

Hence, the attendance at the movie theatre is;

Children = 142

Students = 44

Adults = 71

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Help pls! Average winter temperatures in 45 states were recorded and divided by geographical region.
Choose True or False.

A: The mean of Region 2 is 5.8 greater than the mean of Region 1.

B: The data of Region 2 has greater variability than the data of Region 3 because the data are clustered around a greater average temperature

C: The difference of the means of Region 2 and Region 3 is about twice the MAD of Region 3

D: The average of the means of the three regions is closest to the mean of Region 3

pls show work

Answers

The correct answer is a. True, b. False, c. True, d. True

How to find the mean of regions?The mean of Region 1 is 31+ (32+33+34)×3+35×4+36/15 = 33.6°C

The mean of Region 2 is 36+ 37+ 2x38+ (39+41)x3 +40x4+42/15 = 39.4°C

(The mean = all temperature of region divided by the number of states )

So,  39.4- 33.6 = 5.8 True

The data of Region 2 is more concentrated, So its variability is weaker than Region 3.

So False (variability is comparing the density)

The mean of Region 3 is (32+ 2x (34+35+37+38)+ 36x3+ 39+ 40] ÷15 = 33.8°C

The difference is 39.4 - 33.8= 5.6

The MAD of Region 3 is (32 - 33.8) +2 x (34 -33.8) + 2x (35 - 33.8) + 4x (36-33.8) + 2x (37-33.8) + 2x (38-33.8) + (39-33.8) + (40-33.8) ÷ 15 = 2.64

2-64 × 2 = 5.28, so true

The average of mean is 33.6+ 39.4+ 33.8/3 = 35.6

33.8 is closest to 35.6, so true.

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a truck costs $30,000 and has an estimated life of 5 years with a residual value of $10,000. Prepare a depreciation schedule using the declining-balance method at twice the straight-line rate

Answers

The depreciation schedule for this truck using the declining-balance method at twice the straight-line rate are $24,000, $33,600, $39.744, $43,502 and $45,248

To create the depreciation schedule, we'll start with the cost of the asset and subtract the depreciation for each year. The depreciation for each year is calculated by multiplying the declining-balance rate by the book value of the asset at the beginning of the year.

The book value is simply the cost of the asset minus the accumulated depreciation. So in year 1, the book value is $30,000, and the depreciation is $8,000 (the declining-balance rate) times $30,000, which is $24,000. This means that the accumulated depreciation at the end of year 1 is $24,000.

To calculate the book value at the end of year 1, we simply subtract the accumulated depreciation ($24,000) from the cost of the asset ($30,000), which gives us $6,000.

=> $30000 - $6000 = $24000

This process is continued for the next five years that can be illustrated through the table.

Year Cost Depreciation Accumulated Depreciation Book Value

1        30,000 24,000                     24,000                      6,000

2           6,000 9,600                      33,600                       -3,600

3         -3,600 6,144                       39,744                      -9,744

4         -9,744 3,758                       43,502                      -13,502

5          -13,502 1,746                       45,248                       -15,248

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The sales tax for an item was 11.70 and it cost 390 before tax.
Find the sales tax rate. Write your answer as a percentage.

Answers

The sales tax rate for the item is 3%.

How to find the sales tax rate?

To find the sales tax rate, we can divide the sales tax amount by the original cost of the item, and then multiply by 100 to express the result as a percentage.

Given:

Sales tax amount = $11.70

Original cost of item = $390

Sales tax rate = (Sales tax amount / Original cost of item) x 100

Plugging in the given values:

Sales tax rate = (11.70 / 390) x 100

Calculating:

Sales tax rate = 0.03 x 100

Final result:

Sales tax rate = 3%

So, the sales tax rate for the item is 3%.

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You paid $6.99 for a shirt that was 70% off; what was the original price of the shirt?

Answers

Answer:

$23.30

Step-by-step explanation:

We Know

You paid $6.99

The shirt was 70% off

$6.99 = 30%

What was the original price of the shirt?

We Take

(6.99 ÷ 30) x 100 = $23.30

So, the original price is $23.30

Music streaming services are the most popular way to listen to music. Data gathered over the last 12 months show Apple Music was used by an average of 1.81 million households with a sample standard deviation of 0.47 million family units. Over the same 12 months Spotify was used by an average of 2.21 million families with a sample standard deviation of 0.32 million. Assume the population standard deviations are not the same. Using a significance level of 0.02, test the hypothesis of no difference in the mean number of households picking either service.

a. Compute the test statistic.

b. Compute the p-value.

Answers

the answer to your question is b - compute the p-value

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!
Find the probability of drawing a green, then yellow, with replacement.
A bag has 4 green blocks, 6 red blocks, 7 blue and 3 yellow.

Answers

The probability of drawing a green block followed by a yellow block with replacement is 0.03, or 3%.

What is probability?

The probability of an event is calculated by dividing the total number of possible outcomes by the number of possible outcomes.

The likelihood of drawing a green block on the main draw is:

P(green) = (number of green blocks) / (total number of blocks)

P(green) = 4 / (4 + 6 + 7 + 3)

P(green) = 4 / 20

P(green) = 0.2

Since the blocks are replaced after each draw, the probability of drawing a yellow block on the second draw is still:

P(yellow) = (number of yellow blocks) / (total number of blocks)

P(yellow) = 3 / (4 + 6 + 7 + 3)

P(yellow) = 3 / 20

P(yellow) = 0.15

To find the probability of both events happening, we multiply the probabilities:

P(green, then yellow) = P(green) * P(yellow)

P(green, then yellow) = 0.2 * 0.15

P(green, then yellow) = 0.03

As a result, replacing a yellow block with a green one has a chance of 0.03, or 3%, being drawn.

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Working alone, Lisa can pick forty bushels of apples in 13 hours. One day her friend Cody helped and it only took them 4.8 hours to do it together. Find out how long it would take Cody to do it alone.

Answers

it would take Cody 40 bushels / 5.26 bushels per hour = 7.61 hours to pick 40 bushels of apples alone.

How to find Lisa's individual work?

To begin, let's determine Lisa's individual work rate, or the amount of work she can complete in an hour.

The work formula states that the amount of work completed is equal to the product of the work rate and the amount of time spent working. Lisa's work rate is 40 bushels divided by 13 hours equals 3.08 bushels per hour.

Let C represent Cody's work rate, and let t represent the amount of time it takes him to pick 40 bushels on his own.

At the point when Lisa and Cody cooperate, they pick 40 bushels, so we can compose:

Lisa's work + Cody's work = Total work

3.08 bushels/hour * 4.8 hours + C * 4.8 hours = 40 bushels

14.78 + 4.8C = 40

4.8C = 25.22

C = 5.26 bushels per hour

Consequently, it would take Cody 40 bushels/5.26 bushels each hour = 7.61 hours to pick 40 bushels of apples alone.

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In this 30°-60°-90° right triangle, the length of the long leg is 9√3
What is the measure of the hypotenuse n and the short leg m?
30°
9√3
n
m

Answers

Answer:

30°

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

In a 30°-60°-90° right triangle, the sides are always in the ratio of 1: √3:2, where 1 is the length of the short leg opposite the 30° angle, √3 is the length of the long leg opposite the 60° angle, and 2 is the length of the hypotenuse opposite the 90° angle1234.

In this case, we are given that the long leg is 9√3, so we can use this value to find the other sides by setting up a proportion:

short leglong leg​=13​​

short leg93​​=13​​

Cross-multiplying and solving for the short leg, we get:

short leg=3​93​×1​=9

Similarly, we can use another proportion to find the hypotenuse:

long leghypotenuse​=3​2​

93​hypotenuse​=3​2​

Cross-multiplying and solving for the hypotenuse, we get:

hypotenuse=3​2×93​​=18

Therefore, the measure of the hypotenuse n is 18 and the measure of the short leg m is 9.

What is the slope intercept of -2 and y-intercept (0,2)?

Answers

Answer:

The slope-intercept form of the equation of a line is:

y = mx + b

where m is the slope and b is the y-intercept.

We are given that the y-intercept is (0,2), which means that the value of b is 2.

We are also given that the slope is -2, which means that the value of m is -2.

Substituting these values into the slope-intercept form, we get:

y = -2x + 2

Therefore, the slope-intercept form of the equation of the line is y = -2x + 2.

Step-by-step explanation:

Answer:

that is correct just to give you feedback on that

100 Points! Algebra question. Find each value if f(x)=5/x+2and g(x)=-2x+3. Only looking for an answer to question B. Please show as much work as possible. Photo attached. Thank you!

Answers

Therefore, the value of f(m-2) is 5/(m-2) + 2, and the value of function g(1/2) is 2.

What is function?

In mathematics, a function is a rule or correspondence between two sets, where each input value from the first set (called the domain) corresponds to exactly one output value in the second set (called the range). A function is often represented by a formula, equation, or graph.

Here,

1. To find f(m-2), we substitute (m-2) for x in the expression for f(x):

f(m-2) = 5/(m-2) + 2

So the value of f(m-2) is 5/(m-2) + 2.

2. To find g(1/2), we substitute 1/2 for x in the expression for g(x):

g(1/2) = -2(1/2) + 3

So the value of g(1/2) is -1 + 3, which simplifies to 2.

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Which of these is an accurate way to measure the volume of a rectangular prism
A. Fill it with water and then weigh the water.
B.Trace each face of the prism on centimeter grid paper, and then count the number of squares it comprises.
C. Measure the length and the width, and then multiply the two values.
D. pack it with unit cubes, leaving no gaps or overlaps, and count the number of unit cubes.

Answers

The correct option is (D) if unit cubes are packed into a rectangular prism without any gaps or overlaps, the volume of the prism can be calculated by counting the number of unit cubes.

What is a rectangular prism?

A rectangular prism is a polyhedron in geometry that has two parallel and congruent bases.

It also goes by the name cuboid.

Six faces, each with a rectangle shape and twelve edges, make up a rectangular prism.

It is referred to as a prism because of the length of its cross-section.

There are 6 faces, 8 vertices, and 12 edges on a rectangular prism.

A rectangular prism's volume can be determined by packing unit cubes into it without any gaps or overlaps, then counting the number of unit cubes.

A rectangular prism's surface area is equal to the sum of the areas of each of its faces.

It can be calculated using the formula 2(lw+ wh+ hl).

Therefore, the correct option is (D) if unit cubes are packed into a rectangular prism without any gaps or overlaps, the volume of the prism can be calculated by counting the number of unit cubes.

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Y can represent the distance Frog B hopped as y=x+ 8/3 x. Now rewrite the equation using the distributive property.

Answers

The rewritten expression of y = x + 8/3x using the distributive property is y = x(1 + 8/3)

Rewriting the equation using the distributive property.

From the question, we have the following parameters that can be used in our computation:

Y can represent the distance Frog B hopped as y=x+ 8/3 x.

This means that

y = x + 8/3x

Factor out x from the equation

So, we have

y = x(1 + 8/3)

The above equation has been rewritten using the distributive property.

Hence, the rewritten expression using the distributive property is y = x(1 + 8/3)

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