Pls help with this basic geometry problem

Pls Help With This Basic Geometry Problem

Answers

Answer 1

Answer:

the answer is c

because when u add them that what it gives u

Answer 2

Answer:

A) m<L, m<K, m<J

Step-by-step explanation:

Triangle Congruence--

This means that the longest angle is always opposite the longest side,

and vice verse the shortest angle is always opposite the shortest side.

So in triangle JKL, the longest side is line KL (21).  This means angle J, which is opposite KL is the longest. Furthermore, angle L, opposite line JK (13), is the smallest. This also concludes angle K is in the middle of the two, forming the sequence L, K, and then J (ascending order).


Related Questions

Please respond to the question

Answers

The shortest distance between point P and Q is 9.4.

What is the shortest distance between point P and Q?

The distance formula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

Given the data in the question;

Point P (-4,-2)

x₁ = -4

y₁ = -2

Point Q ( 4,3)

x₂ = 4y₂ = 3

Plug the given values into the distance formula and simplify.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

D = √( ( 4 - (-4) )² + ( 3 - (-2) )² )

D = √( ( 4 + 4 )² + ( 3 + 2 )² )

D = √( 8² + 5² )

D = √( 64 + 25 )

D = √89

D = 9.4

Therefore, the distance is 9.4.

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Which projection method is preferred in the United States?

The ________ projection method is preferred in the United States. In this type of projection, the object lies below the horizontal plane and behind the vertical plane.

Answers

Answer:

Third Angle Projection method

Step-by-step explanation:

The Third Angle projection method is preferred in the United States. In this type of projection, the object lies below the horizontal plane and behind the vertical plane

I need help with this please

Answers

Answer: Felix spent 5 hours doing chores and 3 hours doing homework

Step-by-step explanation:

It says that x represent chores, y represents homework

Answer:

(5, 3)

Step-by-step explanation:

x represents hours of chores y represents hours of homework

A line passes through the point −6, 9 and has a slope of −2.

Write an equation in slope-intercept form for this line.

Answers

The equation of the line in slope-intercept form is y = -2x - 3.

In this case, we know that the line passes through the point (-6,9) and has a slope of -2. Therefore, we can use the point-slope form of the equation to find the equation in slope-intercept form.

Point-slope form:

y - y₁ = m(x - x₁)

Substituting the values we know, we get:

y - 9 = -2(x - (-6))

y = -2x - 3

Therefore, the equation of the line in slope-intercept form is y = -2x - 3.

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riley is dividing 7 1/2 cups of salsa into equal servings that are 3/4 each cup. Select all of the expressions that could be used to find the number of servings Riley will have.

Answers

The required expression that is used to find the number of servings Riley will have is (15/2) ÷ (3/4).

We can find the number of servings Riley will have by dividing the total amount of salsa by the amount in each serving. Since the total amount of salsa is given as 7 1/2 cups or 15/2 cups, we can divide this by 3/4 cups per serving to get:

(15/2) ÷ (3/4) = (15/2) × (4/3) = 30/3 = 10

Thus, the required expression that is used to find the number of servings Riley will have is (15/2) ÷ (3/4).

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P is the weighted average of point C and D. Find the coordinates of P under the given conditions

Answers

Coordinates of P = [tex][(3 * xB + xC + 4 * xD) / 8, (3 * yB + yC + 4 * yD) / 8][/tex]

Coordinates of P = [tex][(4 * xC + 2 * xD + 3 * xE) / 9, (4 * yC + 2 * yD + 3 * yE) / 9][/tex]

Leave the directions of point B alone (x1, y1) and the directions of point D be (x2, y2). Then, at that point, the directions of P are:

[tex][(3x1 + x2)/4, (3y1 + y2)/4][/tex]

Let the directions of point A be (x1, y1) and the directions of point E be (x2, y2). Then, at that point, the directions of P are:

[tex][(x1 + 2x2)/3, (y1 + 2y2)/3][/tex]

Leave the directions of point B alone (x1, y1), the directions of point C be (x2, y2), and the directions of point D be (x3, y3). Then, at that point, the directions of P are:

[tex][(3x1 + x2 + 4x3)/8, (3y1 + y2 + 4y3)/8][/tex]

Leave the directions of point C alone (x1, y1), the directions of point D be (x2, y2), and the directions of point E be (x3, y3). Then, at that point, the directions of P are:

[tex][(4x1 + 2x2 + 3x3)/9, (4y1 + 2y2 + 3y3)/9][/tex]

These recipes can be inferred utilizing the weighted typical equation:

[tex][(w1x1 + w2x2 + ... + wnxn)/(w1 + w2 + ... + wn), (w1y1 + w2y2 + ... + wnyn)/(w1 + w2 + ... + wn)][/tex]

where wi is the heaviness of point I and (xi, yi) are the directions of point I. Subbing the given loads and facilitates into the equations for every issue gives the directions of P for each situation.

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The complete question is:

Find the coordinates of P that represent the weighted average of each set of points based on the given conditions. 12. Point B weighs three times as much as point D. 13. Point E weighs twice as much as point A. 14. Point B has a weight of 3 , point C has a weight of 1 , and point D has a weight of 4. 15. Point C has a weight of 4 , point D has a weight of 2 , and point E has a weight of 3.

Mackenzie is going to invest in an account paying an interest rate of 6.5% compounded monthly. How much would Mackenzie need to invest, to the nearest ten dollars, for the value of the account to reach $194,000 in 11 years?

Answers

Answer:

Mackenzie would need to invest approximately $91,670, to the nearest ten dollars, for the value of the account to reach $194,000 in 11 years.

Step-by-step explanation:

We can use the formula for compound interest to solve the problem:

A = P(1 + r/n)^(nt)

where:

A = the amount of money in the account after t years

P = the principal amount (the initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, we want to find the principal amount P, given that A = $194,000, r = 6.5% = 0.065, n = 12 (compounded monthly), and t = 11 years. Plugging in these values, we get:

194000 = P(1 + 0.065/12)^(12*11)

Simplifying the right side, we get:

194000 = P(1.00541666667)^132

Dividing both sides by (1.00541666667)^132, we get:

P = 194000 / (1.00541666667)^132

P ≈ $91,670.

Therefore, Mackenzie would need to invest approximately $91,670, to the nearest ten dollars, for the value of the account to reach $194,000 in 11 years.

The owner of an apple orchard has learned from previous experience that, on average, 5% of the harvested apples have blemishes. The owner randomly selects 10 apples from this year’s harvest. What is the probability that 2 of the apples have blemishes?

Answers

The probability that 2 of the apples have blemishes will be 0.0746.

Frequency distribution of the percentage of successful outcomes that might occur in a certain number of trials with the same chance of success. If X~B(n, p), then the probability is given as,

[tex]\rm P(X=x) = \ ^nC_x \times p^x \times (1-p)^{n - x}[/tex]

The probability is calculated as,

P(X = 2) = ¹⁰C₂ * (0.05)² * (0.95)⁸

P(X = 2) = 0.0746

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I linked questions 1 to 10 below please solve them for me ​

Answers

The answers for the conversion of the given masses in grams and kilograms are:

19,600 g3,700 g8,455 gThe difference in mass between the dictionary and the book is 800 gAnswer: 800 g4,450 g2,765 g  more than 1/4 kg707 g12.508 kgLisa's mass is 30,000 gThe mass of 12 boxes is 7,200 g

What is the conversion factor between kg and g?

The conversion factor between kilogram and grams is given below:

1 kg = 1000 g or 1 g = 1/1000 kg

The conversion of the given masses is as follows:

19 3/5 kg = 19 × 1000 + 3/5 × 1000

19 3/5 kg = 19,600 g

3.4 kg + 3/10 kg = 3,400 g + 300 g / 10

3.4 kg + 3/10 kg = 3,700 g

8.5 kg - 45 g = 8,500 g - 45 g

8.5 kg - 45 g  = 8,455 g

The mass of the dictionary is 1200 g = 1.2 kg

The difference in mass between the dictionary and the book is 1.2 kg - 0.4 kg = 0.8 kg

difference in mass = 800 g

1/2 kg + 50 g + 3.9 kg = 500 g + 50 g + 3,900 g

1/2 kg + 50 g + 3.9 kg = 4,450 g

3 kg 15 g = 3,015 g

1/4 kg = 250 g

3,015 g - 250 g = 2,765 g

7/10 kg + 7/100 kg = 700 g + 7 g

7/10 kg + 7/100 kg = 707 g

8 kg 8 g + 4 1/2 kg = 8,008 g + 4 × 1000 + 500 g

8 kg 8 g + 4 1/2 kg = 12,508 g

8 kg 8 g + 4 1/2 kg = 12.508 kg

Lisa's mass = 2/5 × 75 kg = 30 kg

Lisa's mass = 30,000 g

Mass of one box = 0.6 kg = 600 g

Mass of 12 boxes = 12 × 600 g

Mass of 12 boxes = 7,200 g

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Write an equation to represent the fraction models below

Answers

Unc help me with this my sister didn’t. The answer is 7

Question 3. Instructions are below for each part

Answers

Since then, it has spread to other rivers, colonized them, clogged the water intake pipes, and competed with local species for food. Zebra mussels are the method for removing a lot of plankton from the water column.

Here, we have,

The Caspian Sea in Asia is where zebra mussels, or Driessen polymorph, are found naturally.

They arrived in the Great Lakes region in the late 1980s via ballast water from a transatlantic ship.

The Great Lakes, Mississippi, Tennessee, Hudson, and Ohio river basins were all overrun by these mussels within ten years.

The lake's brilliant blue hue is a result of Tahoe's clean air and water.

There is more to this phenomenon than just the fact that Lake Tahoe's surface reflects the sky, which contributes to its blue color.

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complete question:

As you respond to Part A, Part B, and Part C, follow the directions below.

​Address all of the instructions in each prompt.

​Use evidence from the information provided and your own knowledge of science to support your responses.

Part A

Describe one way scientists near Lake Tahoe can detect if the lake has been impacted by zebra mussels.

Remy drew a rectangle that is 9 inches long and has an area of 45 in.² what is the width of Remy’s rectangle right and solve a division equation to show your thinking

Answers

Answer:

The division equation used to find the width is: 45 divided by 9 equals 5.

Step-by-step explanation:

The formula for the area of a rectangle is A = lw, where A is the area, l is the length, and w is the width. We know that the length of Remy’s rectangle is 9 inches and the area is 45 square inches. We can use this information to solve for the width: 45 = 9w To solve for w, we can divide both sides of the equation by 9: 45/9 = w 5 = w Therefore, the width of Remy’s rectangle is 5 inches. The division equation used to find the width is: 45 divided by 9 equals 5.

Hope this helps.

The count in a culture of bacteria was 200 after 2 hours and 12,800 after 6 hours.
(a) What is the relative rate of growth of the bacteria population? Express your answer as a percentage. (Round your answer to the nearest whole number.)
(b) What was the initial size of the culture? (Round your answer to the nearest whole number.)
(c) Find a function that models the number of bacteria n(t) after t hours. (Enter your answer in the form n0ert. Round your n0 value to the nearest whole number. Round your r value to two decimal places.)
(d) Find the number of bacteria after 4.5 hours. (Round your answer to the nearest hundred.)
(e) After how many hours will the number of bacteria reach 25,000? (Round your answer to two decimal places.)

Answers

a) The relative rate of growth of the bacteria population is approximately 6,300%.

b) The initial size of the culture was approximately 2 bacteria.

c) The function that models the number of bacteria is n(t) = [tex]27e^{(0.88t)[/tex]

d) The number of bacteria after 4.5 hours is approximately 3,106.

e) It takes approximately 5.51 hours for the number of bacteria to reach 25,000.

(a) To find the relative rate of growth of the bacteria population, we can use the formula:

Relative rate of growth = (Final count - Initial count) / Initial count x 100%

Using the values given in the problem, we get:

Relative rate of growth = (12,800 - 200) / 200 x 100% ≈ 6,300%

(b) To find the initial size of the culture, we can use the formula:

Final count = Initial count x e^(relative rate of growth x time)

We can rearrange this formula to solve for the initial count:

Initial count = Final count / e^(relative rate of growth x time)

Using the values given in the problem and solving for the initial count, we get:

Initial count = 200 / [tex]e^{(6300\% \times 2)[/tex] ≈ 2

(c) The function that models the number of bacteria n(t) after t hours is:

n(t) = n₀[tex]e^{(rt)[/tex]

To find the values of n₀ and r, we can use the values given in the problem:

n(2) = 200 = n₀[tex]e^{(2r)[/tex]

n(6) = 12,800 = n₀[tex]e^{(6r)[/tex]

Dividing the second equation by the first equation, we get:

[tex]e^{(4r)[/tex] = 64

Taking the natural logarithm of both sides, we get:

4r = ln(64)

r = ln(64) / 4 ≈ 0.88

Substituting this value of r into the first equation and solving for n₀, we get:

200 = n₀[tex]e^{(0.88 \times 2)[/tex]

n₀ ≈ 27

Therefore, the function that models the number of bacteria is:

n(t) = [tex]27e^{(0.88t)[/tex]

(d) To find the number of bacteria after 4.5 hours, we can use the function we found in part (c):

n(4.5) = 27[tex]e^{(0.88 \times 4.5)[/tex] ≈ 3,106

(e) To find the number of hours it takes for the number of bacteria to reach 25,000, we can use the function we found in part (c):

25,000 = 27[tex]e^ {(0.88t)[/tex]

Dividing both sides by 27 and taking the natural logarithm of both sides, we get:

ln(925.93) = 0.88t

t ≈ 5.51

In summary, we used the formula for relative rate of growth to find the rate of growth of the bacteria population, and used this information to find the initial size of the culture using exponential growth functions.

We found the function that models the number of bacteria, and used it to find the number of bacteria after a given time and the time it takes for the number of bacteria to reach a certain value.

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How do you solve this? |3x+8|=x

Answers

The solutions are S={2,4}

Explanation:

Let's rewrite the equation

|3x−8|−x=0

|3x−8|=3x−8, if 3x−8≥0

and

|3x−8|=−(3x−8)=−3x+8, if 3x−8<0

Let f(x)=|3x−8|−x=0

Let's build a variation table

aaaaxaaaaaaaa−∞aaaaaaaa0aaaaaaaaaa83aaaaaaa+∞

aaaaxaaaaaaaaaaaaa−aaaa#color(white)(aaaaa)+#aaaaaaaa+

aaaa|3x−8|aaaaaa−3x+8a#color(white)(aaa)-3x+8#aaaaa3x−8

aaaaf(x)aaaaaaaaaaax=2a#color(white)(aaaaa)x=2#aaaaaax=4

The solutions are S={2,4}

graph{|3x-8|-x [-7.9, 7.904, -3.95, 3.95]}

Identify the reflection of the figure with vertices C(-2,4), D (1,5), and E(1, 2) across the x-axis.

Answers

The coordinates of the reflected figures are C'(-2,-4), D'(1,-5), and E'(1, -2)

Identifying the reflection of the figure with vertices

Given that we have the figure of the vertices CDE

With the coordinates C(-2,4), D (1,5), and E(1, 2)

The transformation is given as

Reflection over the x-axis

The rule of this transformation is

(x, y) = (x, -y)

So, we have

Image = C'(-2,-4), D'(1,-5), and E'(1, -2)

Recall that

the rule of this transformation is (x, y) = (x, -y)

This means that the x-coordinate remains unchanged while the y-coordinate is negated as a result of this reflection.

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Select the correct answer from each drop-down menu. A transversal t intersects two parallel lines a and b, forms two groups of angles. On top line a, starting from the top left, clockwise, angles are 1, 2, 3, and 4. On below line b, starting from the top left, clockwise, angles are 5, 6, 7, and 8. In the figure, , and both lines are intersected by transversal t. Complete the statements to prove that m∠1 = m∠5. (given) m∠1 + m∠3 = 180° (Linear Pair Theorem) m∠5 + m∠6 = 180° (Linear Pair Theorem) m∠1 + m∠3 = ∠5 + ∠6 ( ) m∠3 = m∠6 ( ) m∠1 = m∠5 (Subtraction Property of Equality)

Answers

A transversal t intersects two parallel lines a and b, forming two groups of angles.

On top line a, starting from the top left, clockwise, angles are 1, 2, 3, and 4. On the below line b, starting from the top left, clockwise, angles are 5, 6, 7, and 8.

In the figure, angles 1 and 5 are corresponding angles, and both lines are intersected by transversal t. Complete the statements to prove that m∠1 = m∠5.

(given) m∠1 + m∠3 = 180° (Linear Pair Theorem)

m∠5 + m∠6 = 180° (Linear Pair Theorem)

m∠1 + m∠3 = m∠5 + m∠6 (Vertical Angles Theorem)

m∠3 = m∠6 (Subtraction Property of Equality)

m∠1 = m∠5 (Subtraction Property of Equality)

Thus, this can be concluded regarding the given scenario.

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are these right? i’m so confused

Answers

Answer:

Step-by-step explanation:

Hello! Here is a key for you:

Translation up some amount: y + that amount
Translation down some amount: y - that amount
Translation right some amount: x + that amount
Translation left some amount: x - that amount
Reflection across y-axis: (-x, y)
Reflection across x-axis: (x, -y)

7 - Correct
8 - Correct
9 - Correct
10 - This is correct, but your work is incorrect. The formula for reflection across the y-axis is (-x, y). So, you have to take all the points and make their x-values negative. A is located at (-2, -5). -2 = x, so -(-2) = 2 because negative x negative = positive. A' is located at (2, -5), D' is not. C' = (2, 0) is correct, because C is located at (-2, 0). B' = (3, 0) is correct because B was originally at (-3, 0). D' is located at (-2, -2) because D was originally located at (2, -2). So, all you have to do is swap what you wrote for A and D next to the graph, but the graph is completely correct.
11 - Correct
12 - Your answer for 12 isn't visible. I can see you said that P is located at (3, -2) and that P' is located at (-4, -1) which is correct. This means that (x - 7, y + 1) is the correct rule for this question because 3 - 7 = -4 and -2 + 1 = -1.
13. Your answer for 13 is incorrect. This is a reflection across the x-axis, not a translation. So there should be no adding/subtracting in the rule. The formula for reflection across the x-axis is (x, -y). We can find if this graph is a reflection across the x-axis by seeing if each of the prime versions of the original coordinates are a negative y version of the original coordinates.

U is located at (-4, 4), V is located at (-2, 4), and T is located at (-5, 2).

U' is located at (-4, -4), V is located at (-2, -4), and T is located at (-5, -2).

Since U' is located at (-4, -4) and U is located at (-4, 4), the y value turned negative, meaning that U' was a reflection across the x-axis because of (x, -y). Since V' and T' have negative y values of their corresponding original coordinates, Triangle U'V'T' is a reflection over the x-axis.

So, the correct rule you should put for question 13 is (x, -y).

14 - Correct

15 - Incorrect. All y-values turned negative, meaning this is another case of reflection over the x-axis. The correct rule is (x, -y).

16 - Correct

17 - Correct

18 - Correct

19 - Correct

20 - Incorrect. This was a translation over the x-axis, because all y-values turned negative. The correct rule is (x, -y).

For example, J is located at (-1, -1). J' is located at (-1, 1). The y-value turned negative because -(-1) = 1.


--Suggestion: Keep the formulas for the reflection across the x-axis and y-axis by you while doing homework like this.

Reflection across the x-axis formula: (x, -y).
Reflection across the y-axis formula (-x, y).
Translation up/down: (x, y +/- __)
Translation right/left: (x +/-, y)

Apply these formulas to each coordinate, not just one, to see if they all match up.

Good luck! I hope you understand this now.

I need some assistance with this?

Answers

Check the picture below.

[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{25}\\ a=\stackrel{adjacent}{x}\\ o=\stackrel{opposite}{24} \end{cases} \\\\\\ x=\sqrt{ 25^2 - 24^2}\implies x=\sqrt{ 625 - 576 } \implies x=\sqrt{ 49 }\implies x=7[/tex]

Quadrilateral H' is the image of quadrilateral H after a sequence of transformations. If quadrilateral H' is congruent to
quadrilateral H, which transformations could have been used?
A. a dilation by a scale factor of 2 followed by a reflection

B. a rotation followed by a dilation by a scale factor of 1/2

C. a reflection, a translation of 1 unit left, and then a dilation by a scale factor of 3

D. a translation of 6 units down, a rotation, and then a reflection

Answers

The transformations that could be used are: D. a translation of 6 units down, a rotation, and then a reflection.

How to Determine the Series of Transformation?

If two shapes are congruent to each other, it means they have the same shape and size. The only series of transformation that can be used to produce an image that is congruent to a preimage of a shape is either a translation, rotation, or a reflection. This therefore implies that any transformation that involves a dilation will not produce congruent images of a shape but would rather produce similar images.

Therefore, option A, B, and C, which involves dilation cannot produce quadrilateral H' that is congruent to quadrilateral H.

The series of transformation that can produce that is: D. a translation of 6 units down, a rotation, and then a reflection.

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Is there a significant difference in weight loss between the two levels of exercise program, regardless of gender? Explain your decision. Rationalize your decision by using the appropriate p value and explaining how it was used to make your decision

Answers

Answer:

o determine whether there is a significant difference in weight loss between two levels of exercise program, regardless of gender, we would need to conduct a statistical hypothesis test. We would use a two-sample t-test to compare the mean weight loss between the two levels of exercise program.

The null hypothesis would be that there is no significant difference in weight loss between the two levels of exercise program, while the alternative hypothesis would be that there is a significant difference in weight loss between the two levels of exercise program.

We would then calculate the p-value, which represents the probability of observing a test statistic as extreme as the one calculated from the sample data, assuming the null hypothesis is true. If the p-value is less than the significance level (usually set at 0.05), we would reject the null hypothesis and conclude that there is a significant difference in weight loss between the two levels of exercise program.

Without knowing the data, it is not possible to determine the appropriate p-value or make a decision about the significance of the difference in weight loss between the two levels of exercise program.

if your restaurant serves 50 bowls of french onion soup daily and each serving has 8 ounces of onions per portion?

Answers

To calculate the total amount of onions needed per day, you can multiply the number of servings by the amount of onions per serving.

50 bowls x 8 ounces of onions per bowl = 400 ounces of onions per day.

Therefore, your restaurant will need 400 ounces of onions per day to serve 50 bowls of French onion soup daily

Let A be a 7×5 matrix with rank equal to 4 and let b be a vector in R8. The four fundamental sub- spaces associated with A are R(A), N(AT ), R(AT ), and N (A).

Answers

The value of R(A) = 4, N(AT ) = 3, R(AT ) = 4, and N (A) = 3.

Given that

Dimension of matrix  = 7×5

Rank of matrix = 4

The range space of A,

Which is a subspace of R, is known as R(A).

It is made up of all conceivable linear combinations of A's columns.

The dimension of R(A) =  rank of A,

Which is 4 in this case.

The null space of the transpose of A,

Which is also a subspace of R, is designated as N(AT).

All potential answers to the equation ATx = 0,

Where x is a R column vector, are included in it.

N(AT) has a dimension = nullity of A,

which in this case is 3 in this example.

The range space of the transposition of A, is designated as R(AT).

The rows of A are arranged in all conceivable linear configurations.

The rank of A = 4

Thus it equal to dimension of R(AT).

N(A) is the null space of A.

Axe = 0, where x is a column vector in R, are included in it.

The nullity of AT, which is three, is likewise equivalent to the dimension of N(A).

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4. Which of the following are true of
all linear functions?
A. The rate of change is
non-zero.
B. The domain is all real
numbers.
C. The range is all real
numbers.
D. There is one x-intercept.
E. There is one y-intercept.

Answers

All the statements are true statements for a linear function

Selecting the true statements for a linear function

The list of options represent the given parameters in this question

Next, we test each of the options and state if they are true or not

So, we have

A. The rate of change is non-zero.

This is true because a linear function that has a zero rate is just a horizontal line

B. The domain is all real numbers.

This is true, otherwise when stated

C. The range is all real numbers.

This is true, otherwise when stated

D. There is one x-intercept.

This is true, because it intersects with the x-axis once

E. There is one y-intercept.

This is true, because it intersects with the y-axis once

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what is the value of x if 12= 3/x

Answers

The value of the variable x is 1/4

How to determine the value

It is important to note that algebraic expressions are described as expressions that are made up of terms, variables, constants, factors and coefficients.

Algebraic expressions are also described as expressions that are composed of mathematical or arithmetic operations.

These operations are listed thus;

AdditionMultiplicationDivisionSubtractionBracketParentheses

We have that;

12= 3/x

cross multiply the values

12x = 3

Make 'x' subject

x = 1/4

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A golf ball rolls at a speed of 8 m/s for 12 seconds. Mandy hits the golf ball and it rolls
for 16 seconds at a speed of 12 m/s. What is the total distance travelled by the golf ball?

Answers

Using the given information, the total distance travelled by the golf ball is 288 m

Now, From the question, we are to calculate the total distance travelled by the golf ball

The distance travelled by the golf ball can be calculated by using the formula,

Distance = Speed × Time

From the given information,

The golf ball rolls at a speed of 8 m/s for 12 seconds

Thus, The distance travelled at this time is

Distance = 8 m/s × 12 s

Distance = 96 m

Also, Mandy hits the golf ball and it rolls for 16 seconds at a speed of 12 m/s

The distance travelled at this time is

Distance = 12 m/s × 16 s

Distance = 192 m

So, The total distance travelled by the golf ball is 96 m + 192 m

= 288 meters

Hence, the total distance travelled by the golf ball is 288 m

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81 − x = 9
(a) Find the exact solution of the exponential equation in terms of logarithms.
(b) Use a calculator to find an approximation to the solution rounded to six decimal places.

Answers

a) The exact solution of the exponential equation [tex]8^{1-x}=9[/tex] in terms of logarithms is:  [tex]x=1-(\frac{2}{3}\times \frac{ln(3)}{ln(2)} )[/tex]

b)  An approximation to the solution rounded to six decimal places = 0.056642

Consider the exponential equation [tex]8^{1-x}=9[/tex]

Taking ln (log to the base e) on both the sides of above exponential equation,

ln([tex]8^{1-x}[/tex]) = ln (9)

We solve this equation for x.

We know that the rule of logarithm that [tex]log(a^m)=m\times log(a)[/tex]

Using this rule we get,

(1 - x) ln(8) = ln(3²)                          ............(3² = 9)

(1 - x) × ln(2³) = 2  × ln(3)

(1 - x) × 3 × ln(2) = 2  × ln(3)

1 - x = (2/3) × (ln(3) / ln(2))

x = 1 - [(2/3) (ln(3) / ln(2))]

x = 1 - [(2/3) × 1.584963]

x = 1 - 1.056642

x = 0.056642

This is the required value of x.

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explain pls will give a brainliest answer

Answers

By definitions of supplementary angles and by algebra properties, the value of the angle is equal to 118°.

How to find the value of a missing angle

In this problem we get a geometric system formed by a line cutting two parallel lines, from which we find two angles that are supplementary, that is, two angles whose sum equals 180°. Thus, the expression is described below:

(3 · n - 47) + (n + 7) = 180°

Now we proceed to determine to clear variable n by algebra properties:

4 · n - 40 = 180

4 · n = 220

n = 55

And the value of angle ABC is equal to:

m ∠ ABC = 3 · n - 47

m ∠ ABC = 3 · 55 - 47

m ∠ ABC = 118°

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is it possible to convert between pounds and inches or between inches and cups?

Answers

No. It is not possible to directly convert between pounds and inches or inches and cups.

Conversion between units

It is not possible to directly convert between pounds and inches or between inches and cups because they are measuring different things.

Pounds are a unit of weight or mass, while inches are a unit of length or distance. Cups are a unit of volume, which is also different from weight or length.

Thus, all other things being equal it is not possible to directly convert between these units.

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find the total volume of the solid below

Answers

The volume of the solid as shown in the diagram is 756 ft³.

What is volume?

Volume is the space occupied by a solid.

To caculate the volume of the solid, we use the formula below

Note: The solid is made up of a prism and a pyramid.

Formula:

V = (bhL/2)+(bhH/6)................ Equation 1

Where:

Volume of the solidb = Base of the triangleh = Height of the triangleL = Height of the prismH = Height of the pyramid

From the diagram,

Given:

b = 9 fth = 12 ftL = 10 ftH = (24-10) = 12 ft

Substitute these values into equation 1

V = (9×12×10/2)+(9×12×12/6)V = 540+216V = 756 ft³

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Mason would receive $10,000 every year for five years. The rate of interest is 10%. What would be the present value of the amount that would be received by Mason at the end of five years?

Answers

The present value of the payments that Mason would receive over five years is $37,901.

How to Calculate the Present Value of Amount?

To find the present value of the payments that Mason would receive over five years, we can use the present value formula for an annuity:

PV = PMT x [1 - (1 + r)^(-n)] / r

Where we have:

PV = present value of the payments

PMT = amount of each payment ($10,000 in this case)

r = interest rate per period (10% or 0.10 in this case)

n = total number of periods (5 in this case)

Plug in the values:

PV = $10,000 x [1 - (1 + 0.10)^(-5)] / 0.10

PV = $10,000 x [1 - 0.6209] / 0.10

PV = $10,000 x 3.7901

PV = $37,901

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