Write an equation of the line in slope intercept form

Answer:  8

Step-by-step explanation:

distributive property = -18 + 3r = 6

cross river = 3r = 6 + 18

add = 3x = 24

lastly, divide = 8

Answer:

x° = 50° 2x°= 100°

Step-by-step explanation:

sum of all angle of triangle = 180°  therefore

x° + 2x° + 30° =180°  

 3x° = 180° - 30°

3x = 150°

x = 50°

2x = 100

Answer:

BM = 30 cm, DL = 42 cm

Step-by-step explanation:

The area of the parallelogram = 1470 cm², AB = 35 cm,  AD = 49 cm, DL and BM are the heights on sides AB and AD.

area of the parallelogram = base × height = AD × height of AD = AD × BM

⇒ 1470 cm² = 49 cm × BM

BM = 1470 cm² / 49 cm = 30 cm

BM = 30 cm

Also:

area of the parallelogram = base × height = AB × height of AB = AB × DL

⇒ 1470 cm² = 35 cm × DL

DL = 1470 cm² / 35 cm = 42 cm

DL = 42 cm

Answer:

-15

Step-by-step explanation:

Answer: look at the picture

Step-by-step explanation: hope this help

Diagrams that can convey both data and concepts or ideas are known as infographics.

Diagrams that can convey both data and concepts or ideas are known as "informational graphics" or "infographics". These graphics use visual elements such as charts, graphs, illustrations, maps, and diagrams to convey complex information and ideas in a concise and easy-to-understand way.

Infographics can be used in various fields, including business, education, journalism, and marketing, to present information in a visually appealing and engaging manner.

They are particularly useful when presenting large amounts of data or complex processes and can be designed to cater to different audiences, such as professionals or the general public. Overall, infographics are a powerful tool for communicating information and ideas effectively and efficiently.

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The effectiveness of these strategies may vary depending on the specific context and measurement process. Applying multiple strategies in combination can lead to the best improvement in uncertainties.

To improve both statistical uncertainty and propagated uncertainty, there are a few steps you can take:

1. Statistical Uncertainty:

2. Propagated Uncertainty:

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Answer:

1. terms = 2, 3a, 9a ; like terms = 3a, 9a ; coefficients = 3, 9 ; constants = 2

2. terms = 7, -5x, 1 ; like terms = 7, 1 ; coefficients = -5 ; constants = 7, 1

We estimate that the average number of roommates per semester for all students at the local college is 0.7.

The best point estimate for the average number of roommates per semester for all students at the local college would be the sample mean, which is calculated as the sum of the number of roommates for all students in the sample divided by the number of students in the sample.

Using the information given in the problem, we have:

Sample size (n) = 133

Sample mean (\(\bar X\)) = 0.7

Therefore, the best point estimate for the population mean (μ) is the sample mean:

μ ≈ \(\bar X\) = 0.7

So, we estimate that the average number of roommates per semester for all students at the local college is 0.7.

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The value of the line integral does depend on the path joining the points (-2, 1) and (2, 3).

To determine whether the value of the line integral depends on the path, we need to evaluate the line integral along different paths connecting the given points and compare the results.

Let's consider two paths: Path 1, a straight line segment connecting (-2, 1) to (2, 3), and Path 2, a different path that connects the same points but takes a different route.

If the line integral has the same value along both paths, then the integral does not depend on the path. However, if the values differ, it indicates that the line integral is path-dependent.

To evaluate the line integral, we need the vector field that defines the line integral, as well as the parameterization of each path. Without this information, we cannot provide an exact value or perform the calculations necessary to determine whether the integral is path-dependent.

In conclusion, without the specific vector field and parameterizations of the paths, we are unable to determine whether the value of the line integral depends on the path joining the points (-2, 1) and (2, 3).

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The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.

To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.

Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.

To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.

Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.

Therefore, the slope of the line that divides the region into two equal areas is 5.

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A group of penguins swam 4/5 mile in 1/3 hour, \(\frac{4*3}{5}=\frac{12}{5}\)  miles did the penguins swim in one hour.

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

We frequently employ these fundamental mathematical operations in our daily lives: +, -,, and. We employ mathematical operations for every situation when we must determine the annual budget or distribute things equitably to a lot of people.

\(\frac{4}{5}\) miles swim in \(\frac{1}{3}\) hour

swim in one hour = \(\frac{4*3}{5}=\frac{12}{5}\) mile

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let us represent the question with a diagram for better understanding.

Using Pythagoras theorem

The distance between the parents and grandparent house = 15 km

The required angles ∠SRP and ∠TUW are  alternate exterior angles.

Alternate exterior angles are a pair of angles that lie on opposite sides of a transversal line that intersects two other lines. Specifically, the angles are exterior to the two intersecting lines and lie on opposite sides of the transversal.

More formally, if two parallel lines are intersected by a transversal, then alternate exterior angles are the pair of angles that are:

On opposite sides of the transversal line.

Outside of the two parallel lines.

Congruent to each other.

These angles are called "alternate" because they are on opposite sides of the transversal and "exterior" because they are outside of the two parallel lines. The congruence of the angles is a result of the parallel lines creating equal corresponding angles.

So,∠SRP and ∠TUW are  alternate exterior angles.

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Answer:

x=60

Step-by-step explanation

all the sides are equal and they all add up to 180.

so 180 divided by 3= 60

thus your answer is 60

Answer:

The daughter got 31 cows

Step-by-step explanation:

1/2 of 124 is 62

1/4 of 124 is 31

124 - (62 + 31)

124 - 93 = 31

helping in the name of Jesus.

Answer:

1. 87

A77

B24

C93

D47

E 31

F 48

2. 160

A10

B20

C30

D40

E 50

F 60

3. 68

A851

B295

C302

D574

E 112

F 638

4. 174

A3

B4

C5

D 6

E 7

F 8

5. a

A180-a

B180/2

C 179*a

D 179+a

E 60

F pi

Find the complementary angles of the following.

6. 53

A90

B32

C 25

D 45

E 18

F 37

7. 12

A46

B78

C98

D31

E 52

F 64

8. 73.5

A16.5

B34.2

C29.4

D17.7

E 57.9

F 11.3

9. 23.7

A66.3

B70.1

C42.5

D83.9

E 54.8

F 36.2

10. a

A90/a

Ba-90

Ca/2

D90-a

E 90-2

F a^2

Two of the angles are listed. Find the measure of the third angle in each triangle. Similar to example 6

11. 16,42

A256

B421

C107

D510

E 122

F 329

12. 90, 30

A23

B42

C47

D60

E 71

F 89

13. 43, 118

A12

B34

C19

D57

E 11

F 27

14. 60, 60

A15

B90

C29

D60

E 30

F 45

15. 14, 123

A73

B25

C38

D19

E 43

F 13

16. 68, 86

A45

B56

C26

D19

E 32

F 82

17. 55, 77

A18

B37

C62

D57

E 20

F 48

18. a, (a + 80)

A100 - 2a

B112 - 7a

C182 - 2a

D254 - 5a

E 311 - 3a

F 302 - 1a

19. x, (x + 20)

A189 - 7x

B167 - 1x

C114 - 5x

D160 - 2x

E 124 - 2x

F 142 - 1x

20. m, 2m

A172 - 2m

B187 - 7m

C124 - 4m

D143 - 1m

E 164 - 9m

F 180 - 3m

1. C

2. B

3. E

4. D

5. D

6. F

7. B

8. A

9. A

10. B

11. D

12. A

13. D

14. B

15. A

16. C

17. F

18. A

19. D

20. F

Step-by-step explanation:

The distance is √116.

The distance formula to calculate the distance between two points (x1,y1) ( x 1 , y 1 ) , and (x2,y2) ( x 2 , y 2 ) is given as,

D=√(x2−x1)²+(y2−y1)²

Given:

(10,0) (0,4)

Using Distance formula

=√(x2 - x1)² + (y2 - y1)²

=√(0-10)² + ( 4-0)²

=√100 + 16

=√116

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The polynomial which is not equivalent to (5x – 2)(-2x + 4) is -10x + 20x + 4x – 8 and is therefore denoted as option A.

This is referred to as a type of algebraic expression in which the exponents of all variables should be a whole number.

(5x – 2)(-2x + 4) when expanded will give:

-10x² + 20x + 4x – 8 which can be rewritten as the following below:

This is therefore the reason why -10x + 20x + 4x – 8 was chosen as the correct choice.

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The options are:

A) -10x + 20x + 4x – 8

B) 4x + 20x – 10x2 – 8

C) -8 + 24x – 10x2

D) -10x2 + 24x – 8

Answer:

big bodie built

Step-by-step explanation:

i used to be dusty

Based on the calculations, the value of the given prefix expression is equal to 2205.

The preorder traversal of a tree (T) are typically used in discrete mathematics to determine the value of a prefix expression on a specific expression tree.

For the preorder traversal of this tree (T), we would start from the right most expression:

Prefix expression = * + 3 + 3 ↑ 3 + 3 3 3

Prefix expression = * + 3 + 3 ↑ 3 6 3

Prefix expression = * + 3 + 3  3⁶  3

Prefix expression = * + 3 3 729 3

Prefix expression = * + 3 732 3

Prefix expression = * 735 3   ⇒ 735 × 3

Value = 2205.

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Complete Question:

Given the following prefix expression:

* + 3 + 3 ↑ 3 + 3 3 3

What is the value of the prefix expression?

Answer:

63.1

Step-by-step explanation:   You divide 315.5 by 5 to get the answer

Answer:

Step-by-step explanation:

it  should be 315.5 or since it is and a 5 all you have to do is multiply it easy hope this helped :)

To achieve a 95% confidence interval within a maximum margin of error of +/- 0.08 cm, the required sample size would depend on the variability of the data, as well as the desired level of confidence and precision. Without further information, it is not possible to determine the exact sample size.

To determine the number of samples needed to satisfy the manager's desire for a 95% confidence interval within at most +/- 0.08 cm, we need to consider the desired level of precision and the desired confidence level.

The formula to calculate the required sample size for estimating the mean with a specified confidence interval is:

n = (Z * σ / E)^2

where:

- n represents the required sample size,

- Z is the critical value associated with the desired confidence level (95% corresponds to Z = 1.96),

- σ is the population standard deviation (which might be estimated based on prior knowledge or an initial sample),

- E is the desired maximum error or precision (in this case, +/- 0.08 cm).

To determine the required sample size, we need to know the population standard deviation. If the population standard deviation is unknown, we can estimate it based on an initial sample. Alternatively, if there is no prior information available, a conservative approach is to assume a large value for the standard deviation, which would require a larger sample size.

Since the population standard deviation is not specified in the question, let's assume it is unknown and that we have no prior information. In such a case, we can estimate the sample size using a conservative estimate of the standard deviation. We can assume a large value for σ to ensure a sufficiently large sample size to accommodate the desired precision.

Let's assume a conservative estimate of σ, such as 10 cm (this value may be adjusted based on the actual context).

To satisfy the manager's desire for a 95% confidence interval within at most +/- 0.08 cm, the junior engineer would need to take a sample size of approximately 385 samples.

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Answer:

the answer is 52.

Step-by-step explanation:

You have to do [(6+6+2)*(3)] + [(2)*(5)] to get your answer.

(6+6+2)=14

14*3=42

2*5=10

10+42=52

Answer:

52m^2

Step-by-step explanation:

Answer:

you're right

Step-by-step explanation:

when a slope is equal to 0 that makes it undefined

The correct answer is Length of arc XY: 15.03 units.Area of shaded sector XY: 15.73 square units.

To complete the statements, we can use the properties of circles and the given information.

The length of the arc XY, denoted as "s," can be found using the formula:

s = (θ/360) * 2πr

where θ is the central angle in degrees and r is the radius of the circle.

Given that the central angle is 225° and the circumference of the circle is 30 units, we can solve for the radius (r):

Circumference = 2πr

30 = 2πr

r = 30 / (2π) ≈ 4.77 units (rounded to the hundredths place)

Now we can calculate the length of the arc XY:

s = (225/360) * 2π * 4.77 ≈ 15.03 units (rounded to the hundredths place)

Therefore, the length of the arc XY is approximately 15.03 units.

The area of the shaded sector XY, denoted as "A," can be found using the formula:

A = (θ/360) * πr²

Using the same values for θ and r as above, we can calculate the area:

A = (225/360) * π * (4.77)² ≈ 15.73 square units (rounded to the hundredths place)

Therefore, the area of the shaded sector XY is approximately 15.73 square units.

Note: Please double-check the formulas and calculations with the provided information to ensure accuracy.

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The average selling price of a smartphone is estimated to be $318 with a 90% confidence interval.

a. Constructing a 90% confidence interval requires calculating the margin of error, which is obtained by multiplying the critical value (obtained from the t-distribution for the desired confidence level and degrees of freedom) with the standard error.

The standard error is calculated by dividing the population standard deviation by the square root of the sample size. With the given information, the margin of error can be determined, and by adding and subtracting it from the sample mean, the confidence interval can be constructed.

b. To calculate the margin of error, we use the formula: Margin of error = Critical value * Standard error. The critical value for a 90% confidence level and a sample size of 31 can be obtained from the t-distribution table. Multiplying the critical value with the standard error (which is the population standard deviation / square root of the sample size) will give us the margin of error. Adding and subtracting the margin of error to the sample mean will give us the lower and upper limits of the confidence interval, respectively.

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The correct Question is: The average selling price of a smartphone purchased by a random sample of 31 customers was $318, assuming the population standard deviation was $30. a. Construct a 90% confidence interval to estimate the average selling price.

To get the box's volume, apply the following equation:

14 . 8 . 5 = V

Volume of the shoebox = 560 in³

The volume of a cuboid is a measure of how much space it takes up. A three-dimensional shape with length, breadth, and height is the cuboid. If we start with a rectangular sheet and keep stacking them, we will eventually have a shape with a certain length, breadth, and height.

The base area and height are multiplied to determine the cuboid's volume.

The base area of the cuboid is l b.

The formula for a cuboid's volume is V = l b h = lbh.

Now in the question,

Length of the shoebox, l = 14 inches

Breadth of the shoebox, b = 8 inches

Height of the shoebox, h = 5 inches

Volume of the shoebox, V = l × b × h

⇒ V= 14 × 8 × 5

⇒ V =560 in³

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Answer: x=4

Step-by-step explanation:

6x + 10 = 5x + 14

x + 10 = 14

x = 4