Does anyone understand this?

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Answer: Y-intercepts

Explanation:

I hope this helped!

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The number of people who prefer eggs is 35.

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent. A ratio might be formatted as a Part to Part or Part to Whole comparison. A Part to Part comparison looks at two individual quantities within a ratio of greater than two numbers, such as the number of dogs to the number of cats in a poll of pet type in an animal clinic. A Part to Whole comparison measures the number of one quantity against the total, such as the number of dogs to the total number of pets in the clinic.

Let the number of people who prefer eggs be x.

21 people said they prefer oatmeal.

The ratio of people who prefer oatmeal to those who prefer eggs is 3 to 5.

∴ \(\frac{21}{x} = \frac{3}{5} \\x = \frac{21*5}{3}\\ x = \frac{105}{3} \\x = 35\)

Thus, the number of people who prefer eggs is 35.

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Answer:

true

Step-by-step explanation:

Answer:

Step-by-step explanation:

Known:

What to find = x

Exterior angle = 142

Right angle = 90

Unknown:

what unknown value is = ?

Interior angle = ?

1. Find the angle of the interior angles.

180 - 142 = 38

2. Add the two known angles

38 + 90 = 128

3. Subtract from 180

180 - 128 = 52

Hope this helped,

Kavitha Banarjee

Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

What is matrix ?

A matrix is a rectangular array of numbers or other mathematical objects, typically arranged in rows and columns. Matrices are often denoted using capital letters, such as A, B, and C. Each element of a matrix is identified by its row and column indices,

1) False, If two row interchanges are made in succession, the determinant of the new matrix is the negative of the determinant of the original matrix.

2) False, If the determinant of a matrix is zero, it does not necessarily mean that two rows or two columns are the same or a row or column is zero, it only means that the matrix is singular, i.e. non-invertible and it also can mean that the matrix is linearly dependent.

3) False, The determinant of a matrix is not always equal to the product of the diagonal entries, it is a scalar value calculated through a specific method called matrix expansion which is based on the entries of the matrix and it depends on the size of the matrix.

4) False, The determinant of a matrix is a scalar value, it cannot be equal to another matrix.

Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

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In a regression analysis, the error term ε is a random variable with a mean or expected value of zero. The correct option is a.

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

Given:

Analysis is a regression analysis.

And the error term in regression analysis:

The error term, which refers to the total of the deviations within the regression line and explains the discrepancy between the theoretical value of the model and the actual observed results, denotes the margin of error inside a statistical model.

ε = Epsilon or error term.

The variation in the dependent variable that the independent factors do not explain is taken into account by the error term.

The values of the error term should be determined by random chance.

The average value of the error term must be equal to zero in order for your model to be impartial.

Therefore, error term is zero.

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Answer:

\(\{3, 6, 9\}\)

Step-by-step explanation:

U is the universal set, that is, a set that contains the universe of possible sets, which is formed by 10 elements in this. Q is a subset of U formed by three elements: 3, 6, 9. (\(Q \subseteq U\))

\(Q''\) represents the complement of the complement of \(Q\). The complement of \(Q\) is the subset of \(U\) formed by elements not contained in \(Q\). which simbolized by \(Q'\). That is, 1, 2, 4, 5, 7, 8, 10.

The complement of \(Q'\) corresponds to the elements contained in \(Q\). Hence, the correct answer is \(\{3, 6, 9\}\).

Answer:

1080 cm²

Step-by-step explanation:

Surface area pyramid shape = 2(15*12) = 360

Surface area cube = 5( 12 x 12) = 720

360 + 720 = 1080 cm²

If my answer is incorrect, pls correct me!

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Answer:

a>4

Step-by-step explanation:

SOLUTION:

Case: Shifting a graph

The graph of a function can be moved up, down, left, or right by adding to or subtracting from the output or the input. Adding to the output of a function moves the graph up. Subtracting from the output of a function moves the graph down. Here are the graphs of y = f (x), y = f (x) + 2, and y = f (x) - 2

Given:

Required:

To show how the function changes

Method:

Step 1:

The original function

At the original function, the graph cuts through (0,0).

Step 2:

When it is shifted 8 units up, the graph will now cut through (0,8).

The function will now be:

Final answer:

On September 1 the debit and cash is as follows

Debit: Cash $32,000

Credit: Owner's Equity $32,000

On September 1, Justin Wallace invested $32,000 cash into the business to start the business. This transaction increases the business's Cash account and increases the Owner's Equity account, which represents the owner's investment in the business.

September 2:

Debit: Accounts Payable $9,800

Credit: Cash $9,800

On September 2, the business purchased computer equipment on account for $9,800. This transaction increases the Accounts Payable account, which represents the business's obligation to pay the supplier, and decreases the Cash account.

September 2:

Debit: Cash $3,900

Credit: Rent Expense $3,900

On September 2, the business paid cash for September's office rent of $3,900. This transaction decreases the Cash account and increases the Rent Expense account, which represents the cost of renting office space.

September 3:

Debit: Service Revenue $6,400

Credit: Accounts Receivable $6,400

On September 3, the business recorded $6,400 revenue for services rendered to clients on account. This transaction increases the Service Revenue account, which represents the business's revenue from providing services, and increases the Accounts Receivable account, which represents the business's right to receive payment from clients for services rendered.

Mensuration is the branch of mathematics that deals with the measurement of geometric shapes and figures, such as length, area, and volume. It typically includes the study of geometric shapes, such as circles, triangles, and polygons, and their properties, such as perimeter, area, and volume. Mensuration is used in many fields, including engineering, physics, and computer graphics.

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Answer:

$12.35

Step-by-step explanation:

Amount earned by Campbell per week = $494

Tax rate = 2.25 %

Amount withheld = 2.25% of his earning;

Amount withheld = 2.25 % of 494

Amount withheld = 0.025 * 494

Amount withheld  = $12.35

Hence the amount withheld from his weekly pay for state income tax is $12.35

Part 1: South Rim incision: 400 m/Ma, North Rim incision: 460 m/Ma.

Part 2: South Rim widening: 800 m/Ma, North Rim widening: 1500 m/Ma.

Part 1: The rate of incision is the change in elevation over time. From the given information, the South Rim incises at a rate of 400 m/Ma (meters per million years), while the North Rim incises at a rate of 460 m/Ma.

Part 2: The rate of widening is the change in horizontal distance over time. Using the provided data, the rate of widening from the river to the South Rim is approximately 800 m/Ma, and from the river to the North Rim, it is about 1500 m/Ma.

These rates indicate the average amount of vertical erosion and horizontal widening that occurs over a million-year period. The South Rim experiences slower incision but significant widening, while the North Rim incises more rapidly and widens at a lesser rate. These geological processes contribute to the unique topography and formation of the area over millions of years.

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Answer:

The total cost of the meal was $52.92.

Step-by-step explanation:

Find the amount of tax:

Find the amount of tip:

Add the cost of the meal, tax and tip to find total cost:

To find the first partial derivatives of the function \(z = 12y^2√x\) with respect to x and y, we can differentiate each term separately.

\(First, let's find the partial derivative ∂z/∂x:\)

\(To differentiate 12y^2√x with respect to x,\)\(we treat y^2 as a constant because we are differentiating with\) respect to x.

\(The derivative of √x with respect to x is 1/(2√x).\)

Therefore, we have:

\(∂z/∂x = 12y^2 * 1/(2√x) = 6y^2/√x\)

\(Next, let's find the partial derivative ∂z/∂y:\)

\(To differentiate 12y^2√x with respect to y,\)we treat √x as a constant because we are differentiating with respect to y.\(

\(The derivative of y^2 with respect to y is 2y.\)

Therefore, we have:

\(∂z/∂y = 12 * 2y * √x = 24y√x\)

Therefore, the first partial derivatives are:

\(∂z/∂x = 6y^2/√x\)

\(∂z/∂y = 24y√x\)

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The given equation is z = 12y²√x. To find the first partial derivatives, we will differentiate z with respect to x and y separately.Partial derivative of z with respect to x

The first partial derivative of z with respect to x, denoted as ∂z/∂x is found by differentiating z with respect to x while holding y constant.

Here, y is a constant since it is not changing.

Therefore, treat y as a constant and differentiate z with respect to x as follows:z = 12y²√x

Differentiating both sides with respect to x, we get;∂z/∂x = d/dx[12y²√x]

Using the chain rule, we get;∂z/∂x = 6y²(1/√x) ………(1)

Partial derivative of z with respect to y

The first partial derivative of z with respect to y, denoted as ∂z/∂y is found by differentiating z with respect to y while holding x constant.

Here, x is a constant since it is not changing.

Therefore, treat x as a constant and differentiate z with respect to y as follows:z = 12y²√x

Differentiating both sides with respect to y, we get;∂z/∂y = d/dy[12y²√x]

Using the power rule, we get;∂z/∂y = 24y√x ………(2)

Therefore, the first partial derivatives of the function are:∂z/∂x = 6y²(1/√x) ………(1)∂z/∂y = 24y√x ………(2)

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The three angle bisectors of a triangle are concurrent. Their point of concurrence is called the incenter.

The triangle's three angle bisectors are contemporaneous, which means they cross at the same place.

The incenter is the location where the angle bisectors coincide.

1. The circle's inscribed center is known as the incenter.

2. The incenter is equidistant from the triangle's sides.

More examples of agreement

The centroid is the location where all of a triangle's medians meet.

The triangle's circumcenter is where the perpendicular bisectors of its sides meet.

The intersection of the perpendiculars emanating from the vertices on the opposing sides of a triangle is known as the orthocentre.

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The given function is f(x) = −3x^4 + 5x^2 − 2, and the point is (1,0). To find out if the point is a local maximum or minimum, we need to take the second derivative of the function and evaluate it at the given point. The second derivative of the function is f''(x) = −72x^2 + 20, and evaluating it at x = 1 gives f''(1) = −52. Since the second derivative is negative, the function has a local maximum at x = 1. Therefore, the point (1,0) is a local maximum of the function.

To find out whether a point is a local maximum or minimum of a function, we need to use the second derivative test. This involves taking the second derivative of the function and evaluating it at the given point. If the second derivative is positive, the function has a local minimum at that point. If the second derivative is negative, the function has a local maximum at that point. If the second derivative is zero, the test is inconclusive, and we need to use another method to determine if the point is a local maximum or minimum.

The given function f(x) = −3x^4 + 5x^2 − 2 has a local maximum at the point (1,0), as the second derivative f''(x) = −72x^2 + 20 is negative when evaluated at x = 1. Therefore, the point (1,0) represents the highest point on the graph of the function in the immediate vicinity of the point.

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Answer:

15

Step-by-step explanation:45-30 OVER 3-2= 15

To convert tablespoon to grams, you need to know the density of the substance and use a conversion factor to multiply the number of tablespoons by the density in grams per tablespoon.

To convert tablespoon (tbsp) to grams (g), you need to know the density of the substance you are measuring.

For example, 1 tablespoon of water weighs approximately 15 grams. However, the weight of 1 tablespoon of a different substance, such as flour or sugar, would be different because their densities are different.

Therefore, you need to look up the density of the substance you are measuring and use a conversion factor to convert tablespoons to grams. The conversion factor will be the density of the substance measured in grams per tablespoon.

Then, to convert tablespoons to grams, multiply the number of tablespoons by the conversion factor. The result will be the weight of the substance in grams.

Here's an example of how to convert tablespoons to grams using a conversion factor:

Suppose you need to convert 3 tablespoons of sugar to grams. The density of sugar is approximately 12.5 grams per tablespoon. To convert tablespoons to grams, you would multiply the number of tablespoons by the conversion factor (density in grams per tablespoon):

3 tbsp * 12.5 g/tbsp = 37.5 grams

Therefore, 3 tablespoons of sugar is equivalent to 37.5 grams of sugar.

It's important to note that the density of a substance can vary depending on various factors such as temperature, pressure, and moisture content. Therefore, it's important to use a reliable source for the density of the substance you are measuring.

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The distance from Zhiyuan's house to the football stadium is given by the equation A = 82.5 miles

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the time taken for Zhiyuan to get from house to stadium be = t hours

Now , the equation will be

Let the total distance from Zhiyuan's house to the football stadium be = D

The speed of Zhiyuan to get from house to stadium without traffic = 30mph

So , Speed s₁ = 30 miles/hour

Speed = Distance / Time

Time t₁ = t hours

So , the distance d₁ = 30t mile

Now , when the traffic is light ,

Speed s₂ = 55 miles/hour

Time t₂ = ( t - 1 1/4 ) hours

On simplifying the equation , we get

Time t₂ = ( t - 5/4 ) hours

Speed = Distance / Time

And , distance d₂ = 55 ( t - 5/4 ) miles

Now , the distance from house to stadium remains constant , so

distance d₁ = distance d₂

Substituting the values in the equation , we get

30t = 55 ( t - 5/4 )

On simplifying the equation , we get

30t = 55t - 55 ( 5/4 )

Subtracting 30t on both sides of the equation , we get

25t - 68.75 = 0

Adding 68.75 on both sides of the equation , we get

25t = 68.75

Divide by 25 on both sides of the equation , we get

t = 2.75 hours

So ,

The distance D = Speed x time

Distance D = 30t

Distance D = 30 x 2.75

Distance D = 82.5 miles

Hence , the distance is 82.5 miles

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Answer:

120 different possible lunch specials

Step-by-step explanation:

To calculate the overall number of possible lunch specials that can be made we would need to multiply together all of the options from each one of the items found in the lunch special. These values are provided in the question so we can simply multiply them all together to calculate the total possible lunch specials that can be made...

3 * 2 * 5 * 4 = 120 possibilities

Finally, we can see that there are a total of 120 different possible lunch specials that can be made with the availble options.

The total distance traveled by the object in the first 5 minutes is 41.667 units. To find the total distance traveled by the object in the first 5 minutes, we need to calculate the definite integral of the velocity function over the interval [0, 5].

The given velocity function is v(t) = 0.5(t + 3)(t - 1)(t - 5)^2.

Integrating the velocity function over the interval [0, 5] will give us the displacement of the object during that time period, and taking the absolute value of the integral will give us the total distance traveled.

Using a calculator or integration software, we can evaluate the definite integral of the velocity function from 0 to 5. The result is 41.667 units, which represents the total distance traveled by the object in the first 5 minutes.

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Answer:

no

Step-by-step explanation:

28x+17=157   Subtract 17 on both sides.

       -17  -17

28x=140

x=5

5 does not equal -10, so -10 is not a solution to the equation 28x+17=157.

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49.6^2 ≤ x^2 + y^2 + z^2 ≤ 50^2

(a) To find the inequalities that describe a hollow ball with diameter 100 cm and thickness 0.4 cm, we can use the equation of a sphere centered at the origin of the coordinate system, which is x^2 + y^2 + z^2 = r^2. The diameter of the ball is 100 cm, so the radius is 50 cm. The thickness of the ball is 0.4 cm, so the inner radius is 50 - 0.4 = 49.6 cm. Therefore, the inequalities that describe the hollow ball are:

49.6^2 ≤ x^2 + y^2 + z^2 ≤ 50^2

Simplifying the inequalities gives:

2460.16 ≤ x^2 + y^2 + z^2 ≤ 2500

These inequalities describe the hollow ball with diameter 100 cm and thickness 0.4 cm centered at the origin of the coordinate system.

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The quadratic equation that we need to solve is:

96 = 208 - 16t^2

And the solution is t = √7

We know that the height equation is the quadratic equation below:

h = h0 - 16t^2

If the initial height is 208, then we can write:

h = 208 - 16t^2

Now we can find how long takes to reach a height of 96 feet, then we can write:

96 = 208 - 16t^2

That is the equation we need to solve.

Solving that for t we will get:

96= 208 - 16t^2

16t^2 = 208 - 96

16t^2 = 112

t^2 =112/167

t = √7

The correct option is the last one.

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Answer: 86

Step-by-step explanation:

let x be the unknown

(84+92+88+ x)

-----------------------   =  87.5

          4

then cross multiply

(84+92+88+ x )= 87.5 times 4

84+ 92+ 88 + x= 350

add the left side

264+ x=350

subtract 264 from both sides

264 - 264 + x= 350 - 264

therefore x= 86.

Answer:

Step-by-step explanation:

3 pounds:7 dollars

1 pound: 2.33 dollars

divide 3 by 3 to find 1. divide 7 by 3.