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The degree measure of [tex]$\angle sap$ is $726^\circ - 4 \times \angle sop$.[/tex]

Angel is a geometric figure that can be described as the amount of rotation between two straight line or planes and angles is measured in degree with the full circle being 360°.

We can use the following formula to calculate the degree measure of $\angle sap$:

[tex]$\angle sap = 4 \times \angle sop - 174^\circ$[/tex]

Therefore, [tex]$\angle sap = 4 \times \angle sop - 174^\circ = 4 \times (180^\circ - \angle sop) - 174^\circ = 726^\circ - 4 \times \angle sop$[/tex]

Therefore, the degree measure of  [tex]$\angle sap$ is $726^\circ - 4 \times \angle sop$.[/tex]

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Answer:

a. (x-5) meters

b. 390 m²

Step-by-step explanation:

A. We get the equation x²+x-30.

We need to find two factors of 30, which equals 1.
6 and -5 are factors of 30.
Now, we can see that (x-5) and (x+6) are the equations. (x+6) cannot be applied, so the answer is (x-5)

B. We can substitute x with 20, and when we plug it in, we get 390 meters.

The number of solutions of the system y = 3x + 5 is one because it is a linear equation.

An equation in which is  the highest power of to the  variables 1 is knowns as the  linear equation. Mathematically: it is an  algebraic equations that can be also  written in the form of  ax + b = 0 or ax + by + c = 0, where a, b and c are definitely real numbers and x and y are variables with the highest power one.

Linear equations are equations in which the variables are raised to the power of 1, and the graph of the equation is a straight line. As a result, there is only one solution to the equation, which is when the line intersects the x-axis. This means that the equation has only one set of x- and y-coordinates, where x is the independent variable and y is the dependent variable, that satisfy the equation. The x-coordinate of the solution is the same as the value of x that makes the equation true and the y-coordinate is the value of y for this same x-value.

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The inverse demand function of the given demand function is p = 50 - q/2.

A graph that depicts the relationship between a product's price and demand is called a demand curve. On a demand graph, the horizontal axis represents the amount desired, while the vertical axis represents the product's price.

The price is a function of the quantity required when there is an inverse demand curve. The inverse of a demand curve indicates that variations in the amount required cause changes in price levels. The formula for calculating the demand curve for a product yields the graph of an inverse demand curve.

Given demand function: q = 100 - 2p.

To find the inverse demand function, we find the inverse of the equation, by isolating p, to get:

q = 100 - 2p,

or, 2p = 100 - q,

or, p = 100/2 - q/2,

or, p = 50 - q/2.

Thus, the inverse demand function of the given demand function is p = 50 - q/2.

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Answer:

D) Several planets will be very small and difficult to represent.

According to the information it can be inferred that the heaviest dog is 20 ounces heavier than the lightest dog.

To calculate the difference in weight between the heaviest and lightest dogs we must identify the values of the lines according to the above, it can be inferred that the lightest dog is in the 0.5 pound position, while the heaviest dog is in the the 1.75 pound position.

To know the difference in ounces we must convert these values to ounces with the following information:

So, we must apply a rule of three as shown below:

Based on the above, the difference in ounces would be 20 ounces.

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The distance from Philadelphia to Outer Banks is given by A = 10.294 miles

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the distance on the map be represented as

1 inch = 50 miles

So , the distance between Philadelphia to Outer Banks is = ( 7 / 34 ) inches

And , the distance between Philadelphia to Outer Banks = ( 7/34 ) x 50 miles

On simplifying the equation , we get

The distance between Philadelphia to Outer Banks A = 0.20588 x 50

The distance between Philadelphia to Outer Banks A = 10.294 miles

Hence , the distance is 10.294 miles

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Answer:

Step-by-step explanation:

(3x + 7y)(3x - 7y)  FOIL

9x² -49y²   yes, this is difference of two squares

(2x - 7y)(2x - 7y)   FOIL

4x² -14x -14x +49y²

4x² -28x + 49y²   not difference of two squares

9x²(5x - 7)    Distribute the 9x²

45x³ - 63x²   not difference of two squares because one term is cubed

(6x - 4y)²    Distribute the square term

36x² - 16y²   yes, difference of two squares

Answer:

The Equation is (300-36)÷6.

Step-by-step explanation:

$300-$36=$264 (The budget after paying the set up fee)

$264/6=44 months. That's how many months she can rent.

So the equation would be (300-36)÷6.

All the given relations represent the functions.

Domain is the set of {x} - values for which a function {y - values} exists. It is one of the important parameter while defining the characteristics of a function.

For a given relation to be a function, for one value of {x}, there should be only one unique value of {y}. From the given tables and functions, it can be seen that for the given values of {x}, there exist a unique value of {y}. All the given relations represent the functions.

Therefore, all the given relations represent the functions.

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Answer:

The easiest way to divide two numbers is to use a calculator. All you need to do is enter the two numbers and press the division symbol (÷). Another method is to use long division, which involves breaking down the two numbers into individual digits and then systematically dividing them. This method is particularly useful when dividing large numbers.

A graph of the linear equation y = -1/2(x) in slope-intercept form is shown in the image attached below.

In Mathematics, the graph of any proportional relationship is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.

Next, we would use an online graphing calculator to plot the given linear function as shown in the graph attached below.

In conclusion, the slope of this linear function is equal to -1/2 and it represents a proportional relationship.

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Using this chart of accounts, an acceptable account number for capital belonging to the stockholders' equity (SE) category is B. 3300.

The chart of accounts is the complete listing of an organization's general ledger accounts, classified according to the following primary categories:

In the chart of accounts, S.E. represents Stockholders' Equity or Equity.

Thus, since the Equity category houses account numbers 3000 to 3999, the acceptable account number for capital which is a type of equity account is Option B.

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The value following are

vertex: (6, -9)

y-intercept: (0, 27)

X = 3, 9

Finding Vertex (Part A)

Consider the formula -b/2a. This formula gives you the x-coordinate of the vertex.

[tex]y = 1x^2 - 12x + 27[/tex]

a = 1

b= -12

c =27

-b/2a = - (-12)/2(1) = 12/2 = 6 (x-coordinate of vertex)

When solving for the y-coordinate of the vertex you will need to substitute your 'x" back into the equation.

[tex]y = 1(6)^2 - 12(6) + 27[/tex]

y = 36 - 72 + 27 = -9 (y-coordinate of vertex)

--------------------------------------------------------------------------

Y- Intercept (Part B)

When looking for the y-intercept your "x" must always be 0.

Substitute 0 in every "x" in the equation.

y =[tex]1(0)^2 - 12(0) + 27[/tex]

y = 27

y-intercept: (0, 27)

-----------------------------------------------------------------------------

X- Intercepts (Part C)

To find the values of the "x" factor.

[tex]y = 1x^2[/tex] - 12x + 27

[tex]0 = 1x^2[/tex] - 12x + 27

0 = (x  - 3     )(x   -  9 )

(x-3) = 0             (x-9) = 0

x = 3                    x = 9

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Answer:

View Screenshot

Step-by-step explanation:

Part A. The calculated correlation coefficient is incorrect.

Part B. A causal relationship for strawberries picked on the farm is the relationship between rainfall and number of strawberries picked.

Scatter plots are the graphs that present the relationship between two variables in a data-set. It represents data points on a two-dimensional plane or on a Cartesian system. The independent variable or attribute is plotted on the X-axis, while the dependent variable is plotted on the Y-axis.

Given,

Part A: Using computer software, a correlation coefficient of r = 0.01 was calculated.

Observing the scatter-plot, the data is moderately correlated,  as the days increase, the number of strawberries also increase, following upward trend,

r = 0.01 means that 1% of the variation in y is explained by the variation in x.

that means both quantities are very weakly correlated.

but the scatter-plot shows otherwise, so r = 0.01 is not an accurate value for the data.

Part B: Instead of comparing the number of strawberries picked and the day in February, write a scenario that would be a causal relationship for strawberries picked on the farm.

A causal relationship exists when one variable in a data set has a direct influence on another variable. Thus, one event triggers the occurrence of another event. A causal relationship is also referred to as cause and effect.

Here, rainfall could be reasonable variable that can effect the number of strawberries picked. when there is heavy rainfall, strawberries picked will be less.

Thus, the scenario could be:

Amount of rainfall in mm (x)         Number of strawberries picked (y)

      100                                                     20

      50                                                      40

      25                                                      80

     12.5                                                    160

     6.25                                                   320

The amount of rainfall is a cause that affect the number of strawberries picked.

Hence,

The calculated correlation coefficient is false.

Another causal relationship for strawberries picked on the farm can be of rainfall in mm and number of strawberries picked on the farm.

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The slope of x - 3y = -9 is, m = 1/3, while the y-intercept (b) is 3.

The sketch of x - 3y = -9 is shown below.

To determine the slope and y-intercept of the line given by the equation x - 3y = -9, we can rewrite it in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

To do this, we can solve for y:

x - 3y = -9

-3y = -x - 9

y = (1/3)x + 3

Now we can see that the slope of the line is m = 1/3, and the y-intercept is b = 3.

To sketch the line, we can use the slope and y-intercept. We can start by plotting the y-intercept (0,3) on the y-axis. From there, we can use the slope of 1/3 to find additional points on the line. For example, if we move 3 units to the right along the x-axis, we can move up 1 unit (since the slope is 1/3) to get another point on the line, which is (3,4). We can repeat this process to find more points on the line and then connect them to sketch the line.

The sketch is shown below in the attachment.

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Terminal point is a term used in mathematics to describe the endpoint of a line segment. It is the point at which the line or curve terminates or comes to an end. It is important to note that a terminal point is not necessarily the same as a vertex or an intersection point; the terminal point is simply the endpoint of the line segment, the point at which it begins and ends.

For example, the terminal points of a line segment that connects the points (3, 5) and (7, 9) are (3, 5) and (7, 9). The line segment does not terminate at any other point.

The reference number is 41, and the given formula is t = 6π.

Therefore, 6π = 41

π = 41/6

π ≈ 6.83

The terminal point is determined by the given formula (r cos θ, r sin θ).

Since r = 1, substitute the values for θ and r into the formula:

(1, cos 6.83, 1, sin 6.83) = (3.5, 2.5)

Therefore, the terminal point determined by the given reference number t = 41 is (3.5, 2.5).

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Answer:

A right triangle is a type of triangle that has one angle measuring 90 degrees and two acute angles. It has a hypotenuse and two legs, and it is the only type of triangle that the Pythagorean theorem can be applied to. There are different types of right triangles, including isosceles right triangles, 45-45-90 triangles, and 30-60-90 triangles, each with its own unique properties.

Step-by-step explanation:

A right triangle is a type of triangle that has one angle which measures exactly 90 degrees, which we call the right angle. The other two angles are called acute angles and they are always less than 90 degrees.

A right triangle has a special property: the side opposite the right angle is called the hypotenuse. This is the longest side of the triangle and it is always opposite to the right angle. The other two sides are called legs.

One important thing to note is that the Pythagorean theorem only works for right triangles. This theorem tells us that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. This formula is often written as a^2 + b^2 = c^2, where a and b are the lengths of the legs and c is the length of the hypotenuse.

There are actually several different types of right triangles. For example, if the two legs have the same length, we call it an isosceles right triangle. If one of the acute angles measures exactly 45 degrees, we call it a 45-45-90 triangle, and if one of the acute angles measures exactly 30 degrees and the other measures 60 degrees, we call it a 30-60-90 triangle. These triangles have special properties that make them useful in many different areas of math and science.

In summary, a right triangle is a type of triangle that has one angle measuring 90 degrees and two acute angles. It has a hypotenuse and two legs, and it is the only type of triangle that the Pythagorean theorem can be applied to. There are different types of right triangles, including isosceles right triangles, 45-45-90 triangles, and 30-60-90 triangles, each with its own unique properties.

The value of the equation a - 32 = 47 is a = 79.

The correct option is D.

A pair of algebraic equations with the equal symbol (=) in the center and the same value are referred to as an equation.

Given:

An equation,

a - 32 = 47.

To find the value of a:

We will use some mathematical operations.

Add 32 to both sides of the equation,

we get,

a - 32 + 32 = 47 + 32

a - 0 = 79

a = 79

Therefore, the value of a is 79.

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Answer:

Step-by-step explanation:

Sure, I can provide a step-by-step solution to find the probability of observing 10 tornadoes in Ohio in a given year using the Poisson distribution.

Given information:

Mean number of tornado events in Ohio = 19 per year.

Number of tornadoes follows a Poisson distribution.

To find:

Probability of observing 10 tornadoes in Ohio in a given year.

Solution:

We can use the Poisson probability formula, which is given as:

P(X = k) = (e^(-λ) * λ^k) / k!

where X is the random variable representing the number of tornadoes in a year, λ is the mean number of tornadoes in a year, k is the number of tornadoes we want to find the probability for, and k! is the factorial of k.

Substituting the given values, we get:

P(X = 10) = (e^(-19) * 19^10) / 10!

Now, we can simplify this expression by calculating the values of e^(-19) and 10!.

e^(-19) ≈ 0.0000000000000000008352702118 (using a calculator)

10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3,628,800

Substituting these values, we get:

P(X = 10) = (0.0000000000000000008352702118 * 19^10) / 3,628,800

Now, we can simplify this expression by multiplying 0.0000000000000000008352702118 and 19^10 and then dividing by 3,628,800.

Multiplying 0.0000000000000000008352702118 and 19^10, we get:

0.0000000176218972

Dividing this by 3,628,800, we get:

P(X = 10) ≈ 0.009

Rounding this to 3 decimal places, we get:

P(X = 10) = 0.009

Therefore, the probability of observing 10 tornadoes in Ohio in a given year is approximately 0.009.

Answer: Candles Cost $10 Each

Step-by-step explanation: Every single other question gains per hour/day while the candle cost always stays the same and you can come back a week later to find the candle to most likely still be 10$

The six trigonometric functions' values for angle B in this right triangle are as follows: Tan(B) = 8/15 CSC(B) = 17/8 Sin(B) = 8/17 Cos(B) = 15/17 Tan(B) = 8/15 (rationalized denominator)

cot(B) = 15/8 sec(B) = 17/15.

[tex]c2 equals a2 + b2; c2 equals 82 + 152; c2 equals 64 + 225^2 = 289 \sc = √289 \sc = 17[/tex]

Thus, the hypotenuse's length is 17.

We must first get the measure of angle B before we can determine the values of the six trigonometric functions for that angle. Since angle C is a right angle and the total of the angles in a triangle is 180 degrees, we can calculate angle B's measure as follows:

angle B is equal to 90 times angle A, or 90 times angle B.

For now, since we lack sufficient data to estimate the size of angle A, angle B will be specified in terms of an unknowable angle. We are still able to calculate the six trigonometric functions for angle B using the ratios of the triangle's side lengths.

B = opposite/hypotenuse = a/c = 8/17;

B = adjacent/hypotenuse = b/c = 15/17;

B = opposite/adjacent = a/b = 8/15;

B = hypotenuse/opposite = c/a = 17/8;

B = cos(B) = (rationalized denominator)

Hypotenuse/nearby = c/b = 17/15; adjacent/opposite = b/a = 15/8; sec(B) = c/b = 17/15; cot(B) = b/a = 15/8.

For angle B in this right triangle, the values of the six trigonometric functions are as follows:

sin(B) = 8/17

cos(B) = 15/17

tan(B) = 8/15

csc(B) = 17/8 (rationalized denominator)

sec(B) = 17/15

cot(B) = 15/8

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Answer:

Common Multiple for #6

Step-by-step explanation:

Not sure if that's what you meant but hope this helps

Answer:

Customers are charged $0.003 per gallon of water used.

Step-by-step explanation:

In the given function, T = 35 + 0.003w, the coefficient of w (which is 0.003) represents the rate at which the total cost (T) increases per unit increase in the amount of water used (w). In other words, it is the cost per gallon of water used.

Therefore, the slope of the function is 0.003, and it represents the rate of change of the cost with respect to the amount of water used. Each additional gallon of water used will increase the monthly bill by $0.003.

=9/2

According to me when you simplify these numbers on the calculator it gave me 9/2.

Problem: (3/2) + (3/2) + (3/2) = unknown value, times  (1/2)

Solution:

First, we can simplify the left side by adding the fractions:

(3/2) + (3/2) + (3/2) = 9/2

Next, we can divide both sides by (1/2) to solve for the unknown value:

(9/2) ÷ (1/2) = 9

Therefore, the answer is 9.

His postal expenses total 6.5x + 2.5y $357.50 and 13x + 5y 715, respectively, according to two systems of inequality.

A relationship among two expressions or concepts that is not equal in mathematics is referred by the term inequality. Hence, inequalities results from imbalance. In mathematics, an equality establishes the connection between two quel numbers. Egality and inequality aren't the same thing. Use the not equal symbol most frequently when two quantities are not equal (). Values of any size can also be contrasted using a variety of inequalities. By changing the two sides until only components are left, many straightforward disparities can be solved. All the same, a host of mechanisms support inequality: Both sides' lowest values are split or added. Switch the left and the right.

given

It costs $2.50 to ship a card.

Buying a package will cost you $6.50.

Suppose x is the number of packages

Moreover, if y represents the number of cards

The situation is described by a system of inequalities that is

At least 16 more cards than packages make up the total number of cards.

⇒y ≥ 2x +16

Reiko wants to keep his postal expenses to a maximum of $357.50.

⇒6.5x +2.5y ≤ 357.5

⇒13x +5y ≤ 715

His postal expenses total 6.5x + 2.5y $357.50 and 13x + 5y 715, respectively, according to two systems of inequality.

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The transformation from ABCD onto A'B'C'D' is a rigid transformation.

From the question, we have the following parameters that can be used in our computation:

A transformation maps ABCD onto A'B'C'D'

In order for a transformation to map square ABCD onto square A'B'C'D', certain congruence statements must be true.

The corresponding sides of ABCD and A'B'C'D' must have the same length i.e. AB = A'B', BC = B'C', CD = C'D', and DA = D'A'.

The corresponding angles of ABCD and A'B'C'D' must have the same measure i.e angle A = angle A', angle B = angle B', angle C = angle C', and angle D = angle D'.

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