2. The cost of an ad in a local paper is given by the piecewise function.
x ≤ 51
40,
(40+7(x-4), x>5)
Find the difference in cost between a one-line ad and a four-line ad.
c(x) = {40

please help

The expression that represents the cost to the border will be 16L - 8.

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides.

Perimeter of the rectangle = 2(L + W) units

A rectangular fountain has a length of L meters and a width of 3 meters less than its length. Then the equations are given as,

W = L - 3

The perimeter of the rectangle is given as,

P = 2(L + L - 3)

P = 2(2L - 3)

P = 4L - 6

The amount of money that is required for bordering the fountain is given as,

⇒ 4 × [4L - 6] + 4 × 4

⇒ 16L - 24 + 16

⇒ 16L - 8

The expression that represents the cost to the border will be 16L - 8.

And the diagram is given below.

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if the ratio of two sample variances exceeds the critical value of f at a defined confidence level, then the level of confidence also exceeds the critical level.

All tests that make use of the F-distribution are collectively referred to as "F Tests." The F-Test to Compare Two Variances is often what is meant when the term "F-Test" is used. However, a number of tests, including regression analysis, the Chow test, and the Scheffe test, use the f-statistic. If we are conducting an F-Test, we might employ a variety of technological tools. since doing an F-test manually while accounting for variations is a difficult and time-consuming operation.

if the ratio of two sample variances exceeds the critical value of f at a defined confidence level, then the level of confidence also exceeds the critical level.

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Answer:

simple interest is $6.8

Miguel pay the amount to Julio at the end of 6​ months was $206.8

Step-by-step explanation:

Given : Miguel Rodriguez borrowed ​$200 from his brother Julio to pay for books and tuition. He agreed to pay Julio in 6 months with simple annual interest at 6.8​%.

To Find : ​a) How much will the interest amount​ to?

​b) What amount must Miguel pay Julio at the end of 6​ months?

Solution :

Formula for simple interest :

Where rate is in decimal

Time is in years

So, rate of interest = 6.8 % = 0.068

Time = 6 months = 6/12=0.5

Principal = $200

Thus= 200x0.068x0.5=6.8

a. Reactive power is the power lost in the inductive or capacitive load in an AC electrical circuit.

b. Apparent power is the power is the total power delivered to an AC electrical circuit

c. True power is the power lost in a resistive load in an AC electrical circuit.

Power is the rate at which work is done.

Reactive power is the power lost in the inductive or capacitive load in an AC electrical circuit. The reactive power is given by

P' = IVsinФ where

Apparent power is the power is the total power delivered to an AC electrical circuit. The apparent power is given by

S = IV where

True power is the power lost in a resistive load in an AC electrical circuit. The true power is given by

P' = IVcosФ where

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The time JBLM will you be the closest to Mt. Rainier will be 5.12 minutes.

A measurement of the distance between two places along a line or line segment.

The plane's flight route follows the line.

y = -125/135x = -25/27x

The direction of the perpendicular line passing across Mt. Rainier is,

y = 27/25(x -56) -40

In standard form, these two equations are,

25x +27y = 0

27x -25y = 2512

The coordinates at the closest approach are the answers to these two equations:

(x, y) = (33912/677, 31400/677)

The Pythagorean theorem (distance formula) states that the distance d from the origin to this point is as follows:-

d = 1256√(2/677) km

The airplane's speed can be used to convert this distance to time:

1256√(2/677) X 60/800 =  94.2√(2/677) ≈ 5.120019 mins

So, 5.12 minutes after leaving JBLM, Mt. Rainier will be the nearest.

The attached graph shows the geometry of the problem.

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Answer:

no

Step-by-step explanation:

15+32 you would first add the tens

5+2=7

then the ones

1+3 =4

you're answer would then be 47 as the ones come before the tens

Answer:

Step-by-step explanation:

area of pole=75×8=600 square inch

area if sign=12×12+1/2×12×4

=144+24

=168 square inches

total area=600+168

=768 square inches

The perimeter and area of the original square are 4s and s², respectively, and the perimeter and area of the dilated square are 192 and 2304, respectively.

What is area of square ?

Area of square can be defined as the square of given side.

Given ,

Let's assume that the side length of the original square is 's'. The perimeter of the original square is then 4s and its area is s².

The perimeter of the dilated square will be 4 times longer than the original square, so it will be 4 * 4s = 16s.

The area of the dilated square will be 4 times greater than the original square, so it will be 4^2 * s² = 16s².

Here s is 12

so ,

16s = 16 * 12 = 192

16s*s = 16 * 12 * 12 = 2304

Therefore, The perimeter and area of the original square are 4s and s², respectively, and the perimeter and area of the dilated square are 192 and 2304, respectively.

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Answer:

degree 2 and 10

Step-by-step explanation:

the degree of a polynomial is the value of the largest exponent of the variable.

r(x) = 10x² + 4x - 7

has largest exponent 2

this is a polynomial of degree 2

the leading coefficient is the coefficient of 10x²

that is leading coefficient is 10

The coordinates of the image of triangle ABC are A''(x, y) = (- 4, 2), B''(x, y) = (0, 0) and C''(x, y) = (2, 4).

Triangles are generated by the location of three distinct points on Cartesian plane. In this problem we find the representation of a triangle, whose vertices are listed below:

A(x, y) = (1, 0), B(x, y) = (3, - 1), C(x, y) = (4, 1)

We need to apply the following rigid transformations:

Translation

(x, y) → (x - 3, y + 1)

Dilation centered at the origin with scale factor 2

(x, y) → (2 · x, 2 · y)

Now we proceed to determine the coordinates of the image:

Translation

A'(x, y) = (- 2, 1), B'(x, y) = (0, 0), C'(x, y) = (1, 2)

Dilation

A''(x, y) = (- 4, 2), B''(x, y) = (0, 0), C''(x, y) = (2, 4)

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The context that represents linear growth is "A music service has a fixed monthly cost and charges $0.35 for each downloaded song".

A linear growth function has a constant slope, increases by a consistent amount over time, and is represented graphically as a line.

In other words, when a quantity rises in proportion to another factor or variable in a connection it is said to be a linear growth.

Let's check the given option to check whether it is linear growth or not.

1. A music service has a fixed monthly cost and charges $0.35 for each downloaded song.

Here there is a fixed cost and the cost will increase when the number of songs is increased

Let's say the constant charge is 'y' and the number of songs is 'x' then the equation that can represent the situation is

=> f(x) = y + x(0.35)

Here there is a constant increase in cost

∴ The given situation can represent Linear growth.

2. An elevator descends at a rate of 32 feet per second.

Here descends indicated the elevator decreases in speed of the elevator at a point the elevator speed will be zero

∴ It doesn't show the linear growth

3. OA town's population shrinks at a rate of 9.4% every year.  

Here the town's population is shrinking means It doesn't show any growth

∴ It doesn't show the linear growth  

4. The amount of certain medication in a person's bloodstream decreases by 1/4 every day.  

Here, the person's bloodstream decreases by 1/4 every day.  

∴ It doesn't show the linear growth    

Therefore,

The context that represents linear growth is "A music service has a fixed monthly cost and charges $0.35 for each downloaded song".

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The expression "log[a * b.c]" can be rewritten as 2 * log a + log b + log c.

The expression "log[a*b.c]" can be rewritten using the properties of logarithms as follows:

Use the logarithmic property log(a * b) = log a + log b:

log[a * b.c] = log (a * b) + log c

Apply logarithmic property log(a^n) = n * log a:

log[a * b.c] = log (a^2 * b) + log c = 2 * log a + log b + log c

So, the expression "log[a * b.c]" can be rewritten as 2 * log a + log b + log c.

Therefore, the correct answer is as given above. It could then be concluded that the rewritten expression will then be 2 * log a + log b + log c.

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Answer:

Step-by-step explanation:

Cross-price elasticity of demand is a measure of the relationship between the prices of two goods and the quantity demanded of each. It is used to determine how changes in the price of one good affect the demand for another good.

In this scenario, Janet is shopping for formula and bottles for her baby. The price of her favorite brand of formula has increased by 20%, causing her to buy 50% fewer new bottles. The cross-price elasticity for the new bottles calculated using the cross-price elasticity formula is -2.5.

A negative cross-price elasticity value of -2.5 means that the two goods, formula and bottles, are complements. This indicates that an increase in the price of one good (the formula) leads to a decrease in the demand for the other good (the bottles). In other words, when the price of formula increases, Janet is less likely to buy as many new bottles because she is spending more on formula.

On the other hand, if the cross-price elasticity were positive, it would indicate that the two goods are substitutes. In that case, an increase in the price of one good (the formula) would lead to an increase in the demand for the other good (the bottles) as people switch to the cheaper alternative.

In summary, cross-price elasticity of demand is a useful tool for understanding the relationship between the prices of two goods and the quantity demanded of each, and can help businesses make informed decisions about pricing and product strategy.

The cross-price elasticity is -3.66., complements.

A demand that is elastic experiences a significant shift in quantity demanded as a result of a price adjustment. When the amount sought changes little as a result of a price adjustment, the demand is said to be inelastic.

The percentage change in the quantity demanded for one good has an impact on the percentage change in the price of another good, which is measured by the cross elasticity of demand.

Based on the values given above, the cross elasticity of demand will be:

= [(3 - 6) / (18 - 15)] × [(15 + 18) / (6 + 3)]

= (-3/3) × (33/9)

= -1 × 3.66

= -3.66%

Since it's a negative value, the goods are complement.

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Answer:

Below

Step-by-step explanation:

If he ran ONCE around the track he ran 1.5 miles in 2 .5 minutes

  We will need to use a conversion factor of   60 min / 1 hr :

1.5 mi / 2.5 min     *  60 min / hr =   1.5 *60 / 2.5  m/hr = 36 m/hr

Answer:

Step-by-step explanation:

The effective tax rate is the amount of tax paid as a percentage of the total purchase price. To calculate the effective tax rate, you can divide the amount of tax by the total purchase price and multiply the result by 100 to get the answer as a percentage.

In this case, the effective tax rate would be:

(1200 / 24000) * 100 = 5%

So Chris's effective tax rate on the purchase of his car is 5%.

The best way to figure out if there is a solution to the equation:

 --> solve this whole thing algebraically

Let's solve:

 [tex]-4x+7x=4(x+2)-(x+8)\\3x=4x+8-x-8\\3x=3x[/tex]

If we get this kind of circumstance:

 --> where the left/right part of the equation are equal and cannot be

      solved further

     ---> the solution is all real numbers

Answer: solution is all real numbers

73 degrees is the equivalent meausure of m<A

From the given line geometry below, the sum of the adjacent angles is 180 degrees as shown:

m∠A + m∠B = 180

Given the following

∠A = 6x - 35

∠B = 3x + 53

Substitute the given parameters

6x - 35 + 3x + 53 = 180

9x + 18 = 180

9x = 180 - 18

9x = 162
x = 162/9

x = 18

Determine the measure of <A

<A = 6x - 35

<A = 6(18) - 35

<A = 108 - 35

<A = 73 degrees

Hence the measure of angle A from the given diagram is 73 degrees

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The polynomial x^2-y^2-3.5(x+y) is factored completely to xy(x - y)

Algebraic expressions are defined as expressions that are made up of coefficients, variables, terms, factors and constants.

They are also composed of arithmetic operations, such as;

x^2-y^2-3.5(x+y)

expand the brackey

x² - y² - 3.5x + 3.5y

Factor the common terms

xy(x - y - 3.5 + 3.5)

collect lie terms

xy(x - y)

Hence, the expression is xy(x - y)

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Answer:

Step-by-step explanation:

3/2*2/3(6y)=30*3/2

6y=45

6y/y=45/y

y=7.5

Using the equation provided, you can estimate the number of hours worked each week for a student with a GPA of 2.21. The equation can be rearranged to solve for h, the number of hours worked each week.

h = (g - 3.04) / (0.012 + 0.0007)

Plugging in the GPA of 2.21, we get:

h = (2.21 - 3.04) / (0.012 + 0.0007)

h = -4.83 hours

Therefore, a student with a GPA of 2.21 would need to work an average of -4.83 hours per week in order to achieve that GPA.

Answer:

Step-by-step explanation: Yes, that is correct. The solution to the system of equations is (x, y) = (-7, 0), which is not in the given options, so none of the options are the correct answer.

The x-intercepts are (-2, 0), (-1, 0), (1, 0), and (2, 0).

What is meant by the x-intercept?

The value of the x coordinate at the point where the graph intersects the x-axis, or alternatively, the value of the x coordinate at the point where the value of the y coordinate equals zero, is the x-intercept for any curve.

The x-intercepts are the points where the graph meets the x-axis.

Which means that the coordinate of y will be zero.

It is given in the question that the graphed function will meet the x-axis at 4 points which are (-2, 0), (-1, 0), (1, 0), and (2, 0)

Therefore the x-intercepts of the function will be: (-2, 0), (-1, 0), (1, 0), and (2, 0).

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Answer: B)  (-1,0)

Step-by-step explanation:

Just took the test on edge

The value of the segment in the geometry of the triangle is 17.5.

A triangle is a sort of polygon with three sides, as was said in the introduction. The vertex of a triangle is where two of its sides meet at an angle. There is an angle created between two sides. One of the crucial elements of geometry is this.

Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.

If a line is parallel to one side of the triangle and intersects the other two sides, then it divides the side into segments of proportional length.

Thus,

12 / (12 + 14) = 15 / (15 + x)

12(15 + x) = 15(26)

180 + 12x = 390

12x = 210

x = 17.5

Hence, the value of the segment in the geometry of the triangle is 17.5.

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Answer:

Step-by-step explanation:

The cross-price elasticity of demand measures the responsiveness of the quantity demanded of one good to a change in the price of another good. In other words, it shows how the demand for one good changes in response to changes in the price of another good. The cross-price elasticity of demand is a useful concept for understanding the relationship between two goods and can provide valuable information for firms in making pricing and marketing decisions.

The formula for cross-price elasticity of demand is as follows:

Cross-price elasticity of demand = (Percentage change in quantity demanded of good A) / (Percentage change in price of good B)

In this case, we are calculating the cross-price elasticity of demand between almond milk and oat milk. To do this, we first need to calculate the percentage change in quantity demanded of oat milk and the percentage change in price of almond milk.

Percentage change in quantity demanded of oat milk = (30,000 - 20,000) / 20,000 = 0.5

Percentage change in price of almond milk = ($5 - $3) / $3 = 0.67

Next, we use these values to calculate the cross-price elasticity of demand:

Cross-price elasticity of demand = 0.5 / 0.67 = 0.74

A positive cross-price elasticity of demand indicates that the two goods are substitutes. This means that as the price of one good increases, the demand for the other good increases. A cross-price elasticity of demand between 0 and 1 indicates that the two goods are weak substitutes. In this case, a cross-price elasticity of demand of 0.74 suggests that almond milk and oat milk are weak substitutes. This means that if the price of almond milk were to increase, the demand for oat milk would increase to some extent, but not by a significant amount.

In conclusion, the cross-price elasticity of demand provides valuable information for firms in making pricing and marketing decisions. A positive cross-price elasticity of demand indicates that two goods are substitutes, while a cross-price elasticity of demand between 0 and 1 suggests that they are weak substitutes.

a) Two different ways.

x = ln(32)/ln(2)

2^x = 2^5

b) Only the natural logarithm way can be used.

c) x = 3.58

We want to solve:

2^x = 32

in two ways.

The first way is trivial, apply the natural logarithm to both sides:

ln(2^x) = ln(32)

x = ln(32)/ln(2)

The second way is the next one:

2^x = 32

The right number can be written as:

4*8 = 32

Now we can factorize the left side:

4*8 = (2*2)*(2*2*2) = 2^5

Replacing that we get:

2^x = 2^5

So we know that x = 5.

b) The second way can't be used to solve:

2^x = 12

Because 12 has a factor different than 2.

c) Using the natural logarithm  way:

x = ln(12)/ln(2) = 3.58

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[tex]a*b[/tex] must contain all of the prime factors of n and the exponent of each factor must be less than or equal to the exponent of n. This means that a*b divides n.

Let n be an integer and a, b be relatively prime integers, each of which divides n. This means that a and b have no common factors other than 1. According to the Fundamental Theorem of Arithmetic, the prime factorization of n can be written as n = p1^k1 * p2^k2 * ... * pn^kn. Since a and b divide n, each of their prime factorizations must contain all of the prime factors of n, and the exponents must be less than or equal to the exponents of n. Therefore, a*b must contain all of the prime factors of n and the exponent of each factor must be less than or equal to the exponent of n. This means that a*b divides n.

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Answer:

-5

Step-by-step explanation:

The equation is in slope intercept form,

y = mx+b

where m is the slope and b is the y intercept.

y = -4x-5

The slope is -4 and the y intercept is -5.

Answer:

3 and 1/12 left

Step-by-step explanation:

Answer:yes

Step-by-step explanation: