the radius of a circle is 37 miles. what is the circumference? use 3.14 for π​

Answer:

Commission rate= 5% of sales

Step-by-step explanation:

Giving the following information:

Fixed salary= $325

Monthly salary= $360

Sales= $700

First, we need to calculate the commissions:

Commission= monthly salary  - fixed salary

Commission= 360 - 325

Commission= $35

Now, the commission rate:

Commission= commission rate* sales

35 = commission rate*700

0.05= commission rate

commission rate= 5% of sales

Answer:

x=2

Step-by-step explanation:

-3x+1=-5

Subtract 1 from both sides.

-3x=-6

Divide -3 from both sides.

x=2

If f(x)=-5 and f(x)=-3x+1, x=2.

The alternative hypothesis that H1 : µ   > 519

What is a hypothesis short answer?

Hypothesis Examples -

The mean SAT score in mathematics = 519

\(H_{0}\)  : µ  = 519                 or          \(H_{0}\) : µ  \(\leq\)   519

\(H_{1}\) :  µ   > 519

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Answer:

The slope of the blue line is undefined

Step-by-step explanation:

This is because a vertical line cannot have a numerical value for it's slope. Also, there is no y-intercept

The number of robberies reported in your city is a quantitative variable.

Quantitative variables are numerical in nature and represent quantities or amounts. They can be further classified as either discrete or continuous. In the case of the number of robberies reported, it is a discrete quantitative variable because it takes on a countable, whole number value. It represents a specific quantity or amount of robberies reported in the city, such as 0, 1, 2, and so on.

On the other hand, qualitative variables (also known as categorical variables) represent qualities or characteristics that do not have a numerical value. Examples of qualitative variables could be the type of crime (e.g., robbery, burglary, assault) or the color of a car (e.g., red, blue, green).

Therefore, the number of robberies reported in your city is a quantitative variable.

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The probability of having one white ball is 1/20 or approximately 0.05.

To find the probability of selecting one white ball out of three balls, you need to know the number of white balls in the box and the total number of balls in the box. You also need to know whether the balls are being selected randomly or not.

Assuming that there is only one white ball in the box and the rest are some other color, and that the balls are being selected randomly.

The probability of selecting one white ball out of three would be:

Probability = (number of ways to select one white ball out of three) / (total number of ways to select three balls)

Since there is only one white ball, there is only one way to select one white ball out of three. The total number of ways to select three balls out of six is 6 choose 3, which is equal to 20.

Therefore, the probability of selecting one white ball out of three would be

Probability = (number of ways to select one white ball out of three) / (total number of ways to select three balls)

Probability = 1/20

Probability = approximately 0.05.

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Answer:

Step-by-step explanation:

Remark

The red triangle has 1/3 the side  length of    the blue triangle. So the quick answer is the missing side of the blue triangle is 66

Now no one marking this, if they require work is going to accept that quick line of reasoning, so what you have to do is set up a proportion.

Equation (proportion)

57/19 = x / 22                        Cross multiply

Solution

57*22 = 19 * x                        Divide by 19

57*22/19 = x                          Divide 19 into 57 (which is 3)

3 * 22 = x

x = 66

Answer:

4 cups = .25 gallons

Answer:

What is it? Like what type of math?

Step-by-step explanation:

I'm confused cause it can't be geometry cause a square would not have squares within  it that are different area units????

Examining the graph the quadratic function is increasing at

A quadratic graph is a traces the part of a parabola, while quadratic equation is a polynomial equation with 2 degrees.

The behavior of the quadratic function is lowest at the symmetry or point of vertex. other sides by the left or right the function is increasing

The vertex is at point (3, 0) this is same as say x = 3. points above this point shows increasing values of function y and points below the value shows increasing values for function y too

this is represented as x > 3 for x above 3 and x ,< 3 for x below the value of 3

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Answer:

9. 3

10,1

Step-by-step explanation:

Answer:

y = 95°

Step-by-step explanation:

Linear pair of angles add up to 180°

120° + x = 180° [Linear pair of angles]

=> x = 180° - 120°

=> x = 60°

Sum of all angles of a triangle is 180°.

So, 25° + 60° + y = 180°

=> 85° + y = 180°

=> y = 180° - 85°

=> y = 95°

Answer:

x + 120 = 180

x = 180 - 120

× = 60

by angel sum property

25 + x + y = 180

25 + 60 + y = 180

85 + y = 180

y = 180 - 85

y = 95°

The property that makes convex polygons convenient for use in NavMeshes is:

c) Any two points in the polygon can be connected by a straight line that is contained inside the polygon.

Convex polygons have the characteristic that all internal angles are less than 180 degrees. This property ensures that any two points within the polygon can be connected by a straight line that lies entirely inside the polygon. This makes it easier to compute paths and perform navigation calculations within the polygon, as there are no obstacles or concavities to navigate around.

Options (a) and (b) are not necessarily true for convex polygons. Convex polygons can have a small or large number of vertices and can be of varying sizes. The convenience of convex polygons lies in their shape rather than the number of vertices or their size.

Option (d) is not entirely accurate. While many levels or environments may have predominantly convex regions, it is not always the case. Non-convex areas or obstacles can still exist within a level, and additional computation or algorithms may be required to handle those cases in the navigation system.

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The total charge for this job is $12131.04.

Charge per square yard to remove old carpet = $5.99

Charge per square yard to install the new carpet = $4.50

Charge for carpet and pad they selected per square yard = $16.99 and $3.00

Dimension of the living room = 17 1/2 by 20 feet

⇒ 35/2 by 20 feet

Dimension of the hall = 4 by 12 feet

The living room and the hall is in the shape of rectangular.

The formula of the area of the rectangle is

A= length x width

the total area of the living room and the hall is

⇒ (35/2) x 20 + (4 x 12)  

⇒ 398 square feet.

The total cost is

⇒ 5.99 + 4.50 + 16.99 + 3. 00

⇒30.48

Thus, the total charge for this job is

⇒398 x 30.48

⇒$12131.04

Total cost (TC) in that is the overall economic cost of production and is made of variable cost, which varies in step with the amount of a terrific produced and includes inputs together with exertions and raw materials, plus fixed cost, which is unbiased of the quantity of an amazing produced and includes inputs that cannot be various in the brief term including homes and machinery, which include probably sunk prices.

Total cost in economics includes the full possibility price (blessings received from the next-nice alternative) of every issue of production as part of its constant or variable prices.

The additional total cost of one additional unit of manufacturing is known as marginal cost.

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Answer:

1. 10.0 2. 10.2 3. 10.5 The diagonal distance between these two points is 298,766.5.

Step-by-step explanation:

1. Find the vertical distance between the two points, which is (10 - 3) = 7.

2. Find the horizontal distance between the two points, which is (298765 - 4) = 298760.

3. Use the Pythagorean Theorem to find the diagonal distance between the two points, which is the square root of (7^2 + 298760^2) = 298,766.5.

Answer:

432

Step-by-step explanation:

-12(-36) = 432

a) Time taken to reach maximum height is 0.5 sec.

b) Highest point is 484 feet

c) Time to hit the water is 6 sec.

A statement proving the equality of two mathematical expressions is known as an equation.

a) h(t) = - 16t² +16t + 480

Differentiation with respect to t, we get,

h(t)' = - 32t + 16

Again differentiation with respect to t, we get,

h(t)" = -32 is less than 0

Then maximum value of height,

h(t)' = 0

- 32t + 16= 0

t = 1/2 = 0.5

Therefor, Time taken to reach maximum height is 0.5 sec.

b) for highest point; Put value of t in equation

h(0.5) = -16(0.5)²+16(0.5)+480 = 484

Highest point is equal to 484 feet

c) 0 =  -16t² + 16t + 480

0 =  -16 ( t² - t - 30 )

( t - 6 ) ( t + 5) = 0

t = 6, t = -5        (negative value is neglect)

Time to hit the water is 6 sec.

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A coefficient of determination, r2, equal to 0.80 indicates that 80% of the total variation in the dependent variable can be explained by the independent variable(s) in the regression model. The remaining 20% of the variation is attributed to other factors not included in the model.

The coefficient of determination, r2, is a statistical measure that represents the proportion of the total variation in the dependent variable that can be explained by the independent variable(s) in a regression model. In this case, with r2 equal to 0.80, it means that 80% of the total variation in the dependent variable is accounted for by the independent variable(s) in the model.

To compute r2, we use the formula: r2 = SSR/SST, where SSR is the sum of squares of residuals (measure of the unexplained variation) and SST is the total sum of squares (measure of the total variation). Given SSR = 66 and SST = 88, we can calculate r2 as follows: r2 = 66/88 = 0.75.

Therefore, the coefficient of determination, r2, is 0.75, indicating that 75% of the total variation in the dependent variable can be explained by the independent variable(s) in the regression model, while the remaining 25% is attributed to other factors not accounted for by the model/

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Using Pythagorean theorem, the student walked 53.58 meters more compared to the total displacement from the starting point.

If a student walks 100 meters north, then 100 meters west, then the path he travels resembles the sides of a right triangle (see attached photo).

Using Pythagorean theorem, we can solve for the total displacement from the starting point to the end point.

c^2 = a^2 + b^2

where c is the total displacement from the starting point to the end point

a is the distance he walks up north

b is the distance he walks to the west

c^2 = 100^2 + 100^2

c^2 = 10,000 + 10,000

c^2 = 20,000

c = 141.42 meters

Comparing the total distance the student walked and the total displacement from the starting point to the end point by subtraction.

100 meters + 100 meters - 141.42 meters = 53.58 meters

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The sum between the functions:

f(x) = 3x² - 2x + 6

g(x) = 7x - 4

is (f + g)(x) = 3x² + 5x + 2

Here we have two functions which are:

f(x) = 3x² - 2x + 6

g(x) = 7x - 4

And we want to add these to get f + g,  so we only need to add the two functions, we will get:

f(x) + g(x) = (3x² - 2x + 6) + (7x - 4)

Grouping like terms we will get:

(3x² - 2x + 6) + (7x - 4) = (3x²) + (-2x + 7x) + (6 - 4)

And now we can simplify that to get:

(3x²) + (-2x + 7x) + (6 - 4) = 3x² + 5x + 2

The sum is:

(f + g)(x) = 3x² + 5x + 2

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Answer:

Let the cost price be x

\(\rm{C.P. = \dfrac{S.P. \times 100}{100+ gain \% }}\)

\(\rm{C.P. = \dfrac{130 \times 100}{100+30}}\)

\(\rm{ C.P. = \dfrac{130}{30} }\)

\(\large{\boxed{\rm{ C.P. = \dfrac{13}{3}}}}\)

The statement is true. If a matrix has a characteristic polynomial of degree n, then it means that it has n eigenvalues, some of which may be repeated.

The determinant of a matrix is equal to the product of its eigenvalues. If any of the eigenvalues are 0, then the determinant is also 0, meaning the matrix is not invertible. In this case, the characteristic polynomial has degree 4, meaning there are four eigenvalues. If we assume that the matrix a is invertible, then all of its eigenvalues are nonzero, which would mean that the determinant of a is nonzero. However, the characteristic polynomial evaluated at λ=0 is 0, meaning that at least one of the eigenvalues is 0, which contradicts the assumption that the matrix is invertible. Therefore, the statement is true.

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W is a subspace of R4 since it satisfies closure under vector addition, closure under scalar multiplication, and contains the zero vector.

(a) W is a subspace of R4.

To prove that W is a subspace of R4, we need to show that it satisfies three conditions: closure under vector addition, closure under scalar multiplication, and contains the zero vector.

Closure under vector addition: Let's take two vectors (a₁, a₂, a₃, a₄) and (b₁, b₂, b₃, b₄) from W. We need to show that their sum is also in W.

(a₄ - a₃) + (b₄ - b₃) = (a₂ - a₁) + (b₂ - b₁)

(a₄ + b₄) - (a₃ + b₃) = (a₂ + b₂) - (a₁ + b₁)

This satisfies the condition and shows closure under vector addition.

Closure under scalar multiplication: Let's take a vector (a₁, a₂, a₃, a₄) from W and multiply it by a scalar c. We need to show that the result is also in W.

c(a₄ - a₃) = c(a₂ - a₁)

(c * a₄) - (c * a₃) = (c * a₂) - (c * a₁)

This satisfies the condition and shows closure under scalar multiplication.

Contains zero vector: The zero vector (0, 0, 0, 0) satisfies the equation a₄ - a₃ = a₂ - a₁, so it is in W.

Therefore, W satisfies all the conditions and is a subspace of R4.

(b) S is a spanning set of W.

The subset S = {(1, 0, 0, 1), (0, 1, 1, 0)} is given. To verify that S is a spanning set of W, we need to show that any vector (a₁, a₂, a₃, a₄) in W can be expressed as a linear combination of the vectors in S.

Let's consider an arbitrary vector (a₁, a₂, a₃, a₄) in W. We need to find scalars c₁ and c₂ such that c₁(1, 0, 0, 1) + c₂(0, 1, 1, 0) = (a₁, a₂, a₃, a₄).

Expanding the equation, we get:

(c₁, 0, 0, c₁) + (0, c₂, c₂, 0) = (a₁, a₂, a₃, a₄)

From this, we can see that c₁ = a₁ and c₂ = a₂, which means:

c₁(1, 0, 0, 1) + c₂(0, 1, 1, 0) = (a₁, a₂, a₃, a₄)

Therefore, any vector in W can be expressed as a linear combination of the vectors in S, proving that S is a spanning set of W.

(c) A basis for W is {(1, 0, 0, 1), (0, 1, 1, 0)}.

To find a basis for W, we need to ensure that the set is linearly independent and spans W. We have already shown in part (b) that S is a spanning set of W.

Now, let's check if S is linearly independent. We want to determine if there exist scalars c₁ and c₂ (not both zero) such that c₁(1, 0, 0, 1) + c₂(0, 1, 1, 0) = (0, 0, 0, 0).

Solving the equation, we get:

c₁ = 0

c₂ = 0

Since the only solution is when both scalars are zero, S is linearly independent.

Therefore, the set S = {(1, 0, 0, 1), (0, 1, 1, 0)} is a basis for W.

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If you add a small imperfection to a system that has saddle-node bifurcation, the system will experience a phenomenon known as "imperfect bifurcation."

This means that the bifurcation will not occur at a single, well-defined point, but rather over a range of parameter values. This can lead to a change in the dynamics of the system, such as the appearance of new attractors or the disappearance of existing ones. In general, imperfect bifurcation can make the behavior of a system more complex and difficult to predict.

Moreover, the specific effect of the imperfection will depend on its size, location, and nature, and can vary between different types of saddle-node bifurcations, such as fold or transcritical bifurcations. Therefore, the analysis of imperfect bifurcation requires a detailed understanding of the system's dynamics and the effects of perturbations.

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Answer: The length of the radius is 13/2 m.

Step-by-step explanation:

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle and π is pi (approximately 3.14159).

Given that C = 13πm. To find the length of the radius, we can divide both sides of the equation by 2π:

C = 2πr

13πm = 2πr

r = 13πm/2π

r=13/2 m.

The length of the radius of the circle is 6.5 m

If the circumference of the circle is C and the radius is r

Therefore, C= 2πr

According to the sum, the circumference of the circle is 13π m

Substituting that value in the equation,

13π= 2πr

=> r= 13π/ 2π

=> r= 6.5 m

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Answer:

300%

Step-by-step explanation:

Let the length of the carpet be L.

Let the width of the carpet be W.

The original area of the carpet is:

A = L * W = LW

The length and width are enlarged by 60%.

The new length is:

L + (L * 60/100) = L + 0.6L = 1.6L

The new width is:

W + (W * 60/100) = W + 0.6W = 1.6W

The length and width are then reduced by 25%.

The new length is:

1.6L + (1.6L * 25/100) = 1.6L + 0.4L = 2L

The new width is:

1.6W + (1.6W * 25/100) = 1.6W + 0.4W = 2W

The new area will be:

A = 2L * 2W = 4LW

To find the percentage increase in the area, we subtract the original area from the new area and divide by the original area:

4LW - LW = 3LW

% increase is:

\(\frac{3LW}{LW} * 100\) = 300%

The area of the final item is 300% greater than the original item.

Answer:

44%

Step-by-step explanation:

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Answer:

19?

Step-by-step explanation: