Simplify...........................................

The w-intercept of the line of fit is 5.05, and its meaning in terms of the scenario is that a puppy who is just born is predicted to weigh 5.05 ounces.

The intercepts are defined as an intercept that is located at the axes of the graph, which are the location or coordinates from where the line crosses.

The w-intercept of the line of fit is the value of w when d = 0, which means the weight of a puppy when it is born.

According to the equation w = 5.05 + 0.3d, when d = 0, we have:

w = 5.05 + 0.3(0) = 5.05

Therefore, the w-intercept of the line of fit is 5.05,

This means in terms of the scenario that a puppy who is just born is predicted to weigh 5.05 ounces.

Hence, the correct answer is B.

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Jessica sold the drinks for $1 each to raise money as she is running for class president.

The elimination method is a technique used to solve a system of linear equations in two variables. In this method, we multiply one or both equations by appropriate constants to obtain equivalent equations in which one of the variables has the same coefficient but with opposite signs. Then we add the equations to eliminate one of the variables, and solve for the remaining variable.

Let the price of one candy bar be represented by x, and the price of one drink be represented by y.

From the first equation, we know that:

50x + 40y = 65

From the second equation, we know that:

100x + 50y = 100

We want to find the value of y, so we can solve for y using either substitution or elimination method. Here, we will use elimination method.

Multiplying the first equation by 2, we get:

100x + 80y = 130

Subtracting the above equation from the second equation, we get:

100x + 50y - (100x + 80y) = 100 - 130

Simplifying the left side and right side of the equation, we get:

-30y = -30

Dividing both sides by -30, we get:

y = 1

Therefore, Jessica sold the drinks for $1 each.

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Answer: There isn't an error, it's taxes

Step-by-step explanation:

Answer:

The percent error in the price can be calculated using the formula:

percent error = |(experimental value - actual value) / actual value| x 100%

In this case, the experimental value is the final price of $52 and the actual value is the initial price of $50. So we have:

percent error = |(52 - 50) / 50| x 100%

percent error = |2/50| x 100%

percent error = 4%

Therefore, the percent error in the price is 4%.

The volume of the sphere according to the question will be approximately 7232.752cm³.

What is a sphere?

A geometric shape with a sphere-like appearance. In three dimensions, the sphere is defined. The sphere is a three-dimensional solid with a volume and surface area.

What is the Volume of sphere?

A sphere is a perfectly round geometrical 3D object. The formula for its volume equals:

              Formulae of  Volume of sphere = (4/3) × π × r³

So according to the question:

                            r = 12cm(given)

Substitute in above formulae:

                    =(4/3)×3.14×12×12×12 cm³           [Here 4/3= 1.333, π=3.14,r=12]

                    = 1.333×3.14×12×12×12 cm³

      Volume of sphere will be =7232.752 cm³

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Perimeter of the rectangle = 8x²y +26x and the area of the rectangle =52x³y.

Perimeter is the distance around the edge of the shape. Learn how to find the perimeter by adding the lengths of the sides of various shapes. 

Area is defined as the total space occupied by a planar (2-D) surface or shape of an object. The space enclosed by the boundaries of a plane figure is called the area. The area of ​​a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units such as cm² or m² 

Exponent rule:

To express the expression in a simplified manner the exponent rule is used.

Perimeter can be calculated using the formula :(2*length[L] )+(2*width[W})2(L+W)

Area can be calculated using the formula:

Length * Width

L*W

Given:

4x²y and 13x

perimeter=2(L + W)=2(4x²y +13x)=8x²y +26x

Area=L*W=4x²y *13x=52x³y

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The required real diameter of the tin is 250 mm.

Diameter is the length of a straight line drawn through the center of a circular object, such as a circle or sphere. It is the distance between two locations on the object's edge that are furthest apart and pass through the object's center.

Here,

If the diameter of the tin in the picture is 10 cm, then the actual diameter of the tin can be calculated as:

To convert the actual diameter to millimeters (mm), we can multiply by 10:

Therefore, the real diameter of the tin is 250 mm.

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Full Question:
See the attached.

The domain is the set of all x-values greater than or equal to 1, and the range is the set of all y-values greater than or equal to -2.

A coordinate plane is a two-dimensional graph that is used to locate points in a given space. The two axes intersect at a point called the origin, which is located at the coordinates (0, 0). Points on the coordinate plane can be labeled using their x and y coordinates, which are written in the form (x, y).

The graph below shows a function in the coordinate plane, which is made up of a curved line that begins at the point (1, -2) and rises as it moves to the right. The domain of the function is all x-values, or inputs, which are greater than or equal to 1. The range of the function is all y-values, or outputs, which are greater than or equal to -2.

When determining the domain and range of a function, it is important to remember that the domain is the set of all possible inputs, while the range is the set of all possible outputs. In the case of the graph below, the domain is the set of all x-values greater than or equal to 1, and the range is the set of all y-values greater than or equal to -2.

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The logical form of this argument is -

Denying the Antecedent.

Denying the antecedent, sometimes also called inverse error or fallacy of the inverse, is a formal fallacy of inferring the inverse from the original statement.

It is committed by reasoning in the form :

If P, then Q. Therefore, if not P, then not Q.

Given is the argument as -

"If seven clowns are squeezed into a small car, we are at the circus. Seven clowns are not squeezed into a small car. So, we are not at the circus"

The logical form of this argument is -

Denying the Antecedent

Therefore, the logical form of this argument is -

Denying the Antecedent.

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The value of cot A is √55/3

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

cot A = 1/tanA

AC = √ 8²-3²

AC = √64-9

AC = √ 55

tanA = 3/√55

cot A = 1/tanA

cot(A )= 1/(3/√55)

cot( A) = √55/3

therefore the value of cot(A) = √55/3

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Answer:

y=9

Step-by-step explanation:

y=7x+2

y=7(1) +2

y=7+2

y=9

Answer: 168

Step-by-step explanation:  

This equation works for any number of dogs, as long as the rate remains constant.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

That's correct, Gabby's earnings are directly proportional to the number of dogs she walks. We can use a simple equation to represent this relationship:

Earnings = Rate x Number of Dogs

In this case, Gabby's rate is $10 per dog, so the equation becomes:

Earnings = 10 x Number of Dogs

For example, if Gabby walks 5 dogs, her earnings would be:

Earnings = 10 x 5 = $50

If she walks 8 dogs, her earnings would be:

Earnings = 10 x 8 = $80

And so on.

Therefore, This equation works for any number of dogs, as long as the rate remains constant.

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Answer: 1.24

Step-by-step explanation:

40% abundance to decimal = 0.4

0.4 multiplied by 3.1 = 1.24

Answer:

1218

Step-by-step explanation:

because when you get to know that it will give you the answer

The comparisons of the fractions given above is enumerated below.

1) To compare 1/8 and 1/9, I can find a common denominator by multiplying the denominators together. The common denominator is 8 x 9 = 72.

Then, I can convert each fraction to have a denominator of 72 by multiplying the numerator and denominator of each fraction by the appropriate factor. The result is 9/72 and 8/72. Since 9/72 is bigger than 8/72, I know that 1/8 is smaller than 1/9.

2) To compare 7/8 and 8/9, I can find a common numerator by multiplying the numerators together. The common numerator is 56. Then, I can convert each fraction to have a numerator of 56 by multiplying the numerator and denominator of each fraction by the appropriate factor. The result is 49/56 and 64/72. Since 64/72 is bigger than 49/56, I know that 8/9 is bigger than 7/8.

3) To compare 15/38 and 5/13, I can find a common numerator by multiplying the numerators together.

The common numerator is 195. Then, I can convert each fraction to have a numerator of 195 by multiplying the numerator and denominator of each fraction by the appropriate factor.

The result is 75/195 and 75/195. Since the numerators are the same, I can compare the denominators. Since 195 is bigger than 169, I know that 15/38 is smaller than 5/13.

4) To compare 5/9 + 7/12 and 1/2, I can compare each fraction to 1/2 separately.

First, 5/9 is smaller than 1/2 because 9 is bigger than 18, so each ninth is smaller than each half.

Next, 7/12 is also smaller than 1/2 because 12 is bigger than 6, so each twelfth is smaller than each half.

Therefore, both fractions added together (without actually adding them) will be smaller than 1/2.

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Answer:

We can solve this integral using the u-substitution method.

Let u = 3x, then du/dx = 3 and dx = du/3.

Substituting these values, we get:

∫2x * 2/3x dx = ∫4/3 du

Integrating, we get:

= (4/3)u + C

Substituting back u = 3x, we get:

= (4/3)(3x) + C

= 4x + C

Therefore, the solution to the integral ∫2x * 2/3x dx is 4x + C.

Answer:

[tex]\mathrm{225\:in\:\right)^3}[/tex]

Step-by-step explanation:

Given:

base = b = 10 in

height = h = 9 in

length = l = 5 in

[tex]\mathrm{Use\:formula}\:\mathrm{V= \dfrac{1}{2}\times\:b\times\:h\times\:l:}[/tex]

[tex]\mathrm{V= \dfrac{1}{2}\times\:10\times\:9\times\:5}[/tex]

[tex]\mathrm{= 225\:in\:\right)^3}[/tex]

Final answer is rounded to 3 decimal places.

Answer:

I do not have access to drawing tools. However, I can describe how to plot the function on a graph.

To plot the function h(x) = {-4, x < -3 and x+5, x > -3, you would start by drawing the x-y axes on a coordinate plane. Then, you would mark a point at x=-3 on the x-axis. At this point, the value of h(x) changes from -4 to x+5. So, you would draw a solid dot at (-3, 2) on the graph.

Next, you would draw a horizontal line at y=-4 to the left of x=-3, indicating that h(x) is always equal to -4 for x values less than -3.

Finally, you would draw a diagonal line starting from the dot at (-3, 2) and continuing to the right. This line represents the equation x+5 for x values greater than -3.

The resulting graph should have a horizontal line at y=-4 to the left of x=-3, a solid dot at (-3, 2), and a diagonal line extending to the right from the dot.

Step-by-step explanation:

Answer:346.5

Step-by-step explanation: At first,we have calculate the radius of the given circle,by using the following mathematical formula.

Radius = Diameter/2 = 21/2 = 10.5 cm

Now,we have to calculate the area of the circle by using the following mathematical formula,

Area of the circle = π×r² = 22/7 × 10.5 × 10.5 = 346.5 cm²

please lmk if this an option or answer for you.

Answer:

See Picture

Step-by-step explanation:

The original sin(x) function starts at (0,0) and oscillates around the x-axis between y=1 and y=-1, intercepting it in intervals of π.

To graph sin(x)-2 then, we simply need to graph a sin(x) function 2 units lower.

The function will be g(x ) = x² + 2

A function is a special form of relation where each input has exactly one output. In other words, for each input value, the function returns exactly one value. A relation rather than a function is depicted in the above graph since one is mapped to two different values.

But, if one were instead mapped to a single value, the relationship described above would change into a function. Furthermore, output values could match input values exactly.

The function machine receives the x-values as input. After finishing its operations, the function machine produces the y-values. Any function may be the one within.

g(x) = x2 + 2

Now we need to but this in vertex form.

If you graph this equation, you will see that the vertex is (0,2). Plug this in to (h,k) in the equation. The value of a is just 1 because you didn't multiply by anything during the transformation.

So you get g(x) = (x-0)2 + 2 = x2 + 2

This ends up just being the same as the standard form of the equation

Hence, The function will be g(x ) = x² + 2

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Answer:

Step-by-step explanation:

Surface area of a triangular prism: The surface area of a triangular prism is given by A=bh+(b1+b2+b3)l units2 A = b h + ( b 1 + b 2 + b 3 ) l units 2 where b is the base of a triangular face, h is the height of a triangular face, b1 , b2 , and b3 are the sides of the triangular base, and l is the length of the prism.

So the handwriting is a bit messy.

After the rotation, the coordinates of each point will be:Point R: (x,y) = (-y,x)Point S: (x,y) = (-x,-y)Point T: (x,y) = (y,-x)Point U: (x,y) = (x,y)

Coordinates are a set of two or more numbers or variables that indicate the position of a point, line, or object in space. Coordinates are used in many fields, from mathematics and science to navigation and cartography. Coordinates are essential for accurately mapping and measuring the location of objects on Earth and in the universe. Coordinates can also be used to calculate the area of a region or the volume of an object. Coordinates are one of the most important tools for understanding and manipulating the physical world.

Quadrilateral RSTU has a rotation of 90 degrees about the origin. After the rotation, the coordinates of each point will be:

Point R: (x,y) = (-y,x)
Point S: (x,y) = (-x,-y)
Point T: (x,y) = (y,-x)
Point U: (x,y) = (x,y)

This occurs because when rotating a point around the origin, the x-coordinates and y-coordinates change places. The sign also changes for the x-coordinate and the y-coordinate in order to preserve the direction of the rotation.

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Answer:

We can start the problem by using the formula for the area of a rectangle:

Area = length x width

The total area of the pool and the walkway is given as 360 square feet. Let's assume that the width of the walkway is w feet. Then, the dimensions of the entire area can be represented as (8 + 2w) by (10 + 2w) feet, since there is an additional width of w feet on both sides of the pool. Therefore, we can set up the equation:

(8 + 2w) x (10 + 2w) = 360

Expanding the left side and simplifying, we get:

4w^2 + 36w - 80 = 0

We can solve for w using the quadratic formula:

w = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = 4, b = 36, and c = -80. Substituting these values into the formula, we get:

w = (-36 ± sqrt(36^2 - 4(4)(-80))) / 8

w = (-36 ± sqrt(1872)) / 8

w ≈ -5.6 or w ≈ 3.6

Since the width cannot be negative, we can discard the first solution. Therefore, the width of the walkway should be approximately 3.6 feet.

Step-by-step explanation:

Answer:

We can start the problem by using the formula for the area of a rectangle:Area = length x widthThe total area of the pool and the walkway is given as 360 square feet. Let's assume that the width of the walkway is w feet. Then, the dimensions of the entire area can be represented as (8 + 2w) by (10 + 2w) feet, since there is an additional width of w feet on both sides of the pool. Therefore, we can set up the equation:(8 + 2w) x (10 + 2w) = 360 Expanding the left side and simplifying, we get:4w^2 + 36w - 80 = 0We can solve for w using the quadratic formula:w = (-b ± sqrt(b^2 - 4ac)) / 2aIn this case, a = 4, b = 36, and c = -80. Substituting these values into the formula, we get:w = (-36 ± sqrt(36^2 - 4(4)(-80))) / 8w = (-36 ± sqrt(1872)) / 8w ≈ -5.6 or w ≈ 3.6Since the width cannot be negative, we can discard the first solution. Therefore, the width of the walkway should be approximately 3.6 feet.

Step-by-step explanation:

The answer to this question is as follows Hence, the appropriate expressions response would be: Sort the company's revenue gain from least to biggest percent: D, C, A, B

In mathematics, you can multiply, divide, add, or subtract. This is how an expression is put together: Expression, numerical value, and math operator Numbers, parameters, and operations make up a mathematical expression. It is feasible to use contrasting words and phrases. Any mathematical statement containing variables, numbers, and a mathematical action between them is referred to as an expression, often known as an algebraic expression. For instance, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.

Based on the information in the graph, the firms are ranked from having the least % growth in revenue to having the largest:

With a 5% rise in revenue, Company D

A 10% rise in revenue for Company C

A 15% rise in revenue for Company A

A 20% rise in revenue for Company B

Hence, the appropriate response would be:

Sort the company's revenue gain from least to biggest percent: D, C, A, B

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The amount of time it would take the water to cool to 150°F is: C. About 8 min.

In this scenario, the time would be plotted on the x-axis of the scatter plot while the temperature would be plotted on the y-axis of the scatter plot.

On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit (trend line) on the scatter plot.

From the scatter plot (see attachment) which models the relationship between the time and temperature, an exponential equation for the line of best fit is given by:

[tex]y = 192e^{-0.028x}[/tex]

When temperature y = 150°F, the value of x (in minutes) can be calculated as follows:

[tex]150 = 192e^{-0.028x}[/tex]

ln(150/192) = -0.028x

x = -0.24686007793/0.028

x = 8 mins.

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It is true that the graph contains the point (0, 0).

The following three assertions regarding the function and its graph are true:

The function's graph resembles a parabola.

The graph begins at the bottom.

The point is shown in the graph (0,0).

Explanation:

A second-degree polynomial function, the quadratic function f(x) = x2 - 5x + 12 has a parabola as its graph.

The parabola widens downward because the coefficient of x2 is positive (1 in this instance).

When we replace x with -10 in the given function, we obtain the value of f(-10) as (-10)2 - 5(-10) + 12 = 82. Hence, "f(-10) = 82" is true.

We substitute x = 20 in the given function, resulting in f(20) = 202 - 5(20) + 12 = 212, to see if the point (20, -8) is on the function's graph. The claim "The graph contains the point (20, -8)" is untrue since the point's y-coordinate is -8, which is not equivalent to f(20).

We substitute x = 0 in the given function to get f(0) = 02 - 5(0) + 12 = 12 to determine if the point (0, 0) is on the function's graph. The assertion "The graph contains the point (0, 0)" is true because the y-coordinate of the point (0, 0) is 0, which is equivalent to f(0).

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