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All the statements are 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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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 probability that you roll a 3 or a 7 is 1/4.

We have, eight-sided die numbered 1 through 8 on its faces.

Now, the probability to roll 3

= 1/8

and, probability of rolling 7

= 1/8

So, the probability that you roll a 3 or a 7

= 1/8 + 1/8

= 2/8

= 1/4

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

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:

Where:

From the diagram,

Given:

Substitute these values into equation 1

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An open circle is at 5 and a bold line starts at 5 and is pointing to the right.

The given inequality is -3(2x - 5) < 5(2 - x).

The inequality -3(2x - 5) < 5(2 - x) can be solved as follows

-6x+15<10-5x

Add 5x on both the sides of an inequality, we get

-6x+15+5x<10-5x+5x

-x+15<10

Subtract 10 on both the sides of an inequality, we get

-x<-5

Multiply -1 on both the sides of an inequality, we get

x>5

Therefore, an open circle is at 5 and a bold line starts at 5 and is pointing to the right.

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

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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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

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.

The value of the variable x is 1/4

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;

We have that;

12= 3/x

cross multiply the values

12x = 3

Make 'x' subject

x = 1/4

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

The conversion factor between kilogram and grams is given below:

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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Answer:

D.  699 ft

Step-by-step explanation:

Think of a vertical number line with sea level being 0.  Town A is +692 ft and Town B is -7 ft.

Difference in elevation = 692 - (-7) = 699

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.

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

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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Answer:

x = -13/7

Step-by-step explanation:

We can solve either by cross-multiplying or by multiplying both sides by the  least common denominator, which is the product of the denominators: (5x + 7)(x - 1) in this case.

Both ways will give us the same answer, although cross-multiplying seems much simpler:

[tex]4(x-1)=5(5x+7)\\4x-4=25x+35\\4x=25x+39\\-21x=39\\x=-39/21=-13/7[/tex]

We can check our answer by plugging in -13/7 for x into the equation and see if we get the same answer on both sides:

[tex]4/(5(-13/7)+7))=5/(-13/7-1)\\4/(-65/7+7)=5/(-20/7)\\4/(-16/7)=-7/4\\-7/4=-7/4[/tex]

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]

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

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

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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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.

Answer:

The correct answer is B.

83,120 can be written as:

(8 × 10^4) + (3 × 10^3) + (1 × 10^3) + (2 × 10^2)

This is equivalent to option B.

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]}

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

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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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.

The simplified expressions are;

1) 2√5

2) 6x√2

3) 5xk^2√6x

4) 5√1029y^2

Any mathematical expression that uses the square, cube, or higher-order roots of a number or variable is referred to as a radical expression. Variables, coefficients, and operators like addition, subtraction, multiplication, and division can also be included.

Mathematical operations like factoring, reducing the denominator, and employing exponent rules can be used to simplify or alter radical equations.

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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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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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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