You pay $45 per month for cable TV. Your friend buys a satelliteTV receiver for $99 and pays $36 per month for satellite TV. Your friend claims that the expenses for a year of satellite TV are less than the expenses for cable TV in a year. Write and solve an equation to determine when you and your friend will have paid the same amount for TV services. Is your friend correct? Explain

Answer:

Medical Insurance

Step-by-step explanation:

Answer:

Medical Insurance

Step-by-step explanation:

serious car accident and broke both wrists.

The standard error of the mean for this sample is $2,500.

The standard error of the mean (SE) measures the variability or uncertainty of the sample mean as an estimate of the population mean. It is calculated using the formula:

SE = standard deviation / √sample size

Given:

Population standard deviation (σ) = $30,000

Sample size (n) = 144

Substituting these values into the formula, we get:

SE = 30,000 / √144

SE = 30,000 / 12

SE = 2,500

The standard error of the mean for this sample is $2,500. This indicates the average amount of variability or uncertainty in the sample mean estimate of the population mean.

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Given that,

Therefore,

Hence,

The value of x =9

Answer:

C and E

Step-by-step explanation:

Midpoint, as the word suggests, means the point which lies in the middle of something. The statements that are correct are 1, 3, and 5.

Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point which lies in the mid of the given line segment.

The statements which are correct about the given figure are:

Hence, the statements that are correct are 1, 3, and 5.

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Answer:

22 in.

Step-by-step explanation:

total volume= big thingy + long thingy

=>x=2.2.3+5.2=12+10=22

The correct representation of the sentence 15 is what percent of 40 is 15 is 37.5% of 40.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

The algebraic representation of the statement 15 is what percent of 40 is:

40 (x/100) = 15

40x / 100 = 15

40x = 1500

x = 1500/40

x = 37.5

Hence, the correct representation of the sentence 15 is what percent of 40 is 15 is 37.5% of 40.

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So there are 152 machines. After 24 hours of operation they make 1.47x\(10^{7} \)

So we know that 1.47x\(10^{7} \) = 14,700,000.


Now we just divide this by 24.

14700000/24=612,500

Now thats the total, we need to divide by 152 since there are that many machines that make up that number.

612,500/152 about 4029


So your rate is 4029 per hour per machine.

The polar coordinates corresponding to the rectangular coordinates (5, 573) are approximately (573.05, 90°).

Explanation:

Given rectangular coordinates of the point are (5, 573) and we need to find the polar coordinates.

Let us first recall the definition of rectangular and polar coordinates.

Definitions:

Rectangular coordinates: A rectangular coordinate system is a two-dimensional coordinate system that locates points on the plane by reference to two perpendicular axes. The coordinates of a point P are written as (x, y), where x is the horizontal distance from the origin to P, and y is the vertical distance from the origin to P.

Polar coordinates: A polar coordinate system is a two-dimensional coordinate system that locates points on the plane by reference to a distance from a fixed point and an angle from a fixed axis. Polar coordinates are written as (r, θ), where r is the distance from the origin to P, and θ is the angle formed by the positive x-axis and the line segment from the origin to P.

Now we can find the polar coordinates of the point (5, 573) as follows:

Let's first find r using the formula

r = √(x² + y²)

r = √(5² + 573²)

r = √(25 + 328329)

r = √328354 ≈ 573.05

Now, we will find θ using the formula

θ = tan⁻¹(y / x)

θ = tan⁻¹(573 / 5)

θ = 89.9595° ≈ 90°

Therefore, the polar coordinates of the point (5, 573) are approximately (573.05, 90°).

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Answer:

833.3 ft^3

Step-by-step explanation:

The formula for the volume of a pyramid is:

V = (lwh)/3

V = volume

l = length of base

w = width of base

h = height of pyramid

Now we just correspond the values with the variables:

l = 12.5

w = 12.5

h = 16

And plug these values into the formula:

((12.5)(12.5)(16))/3

((156.25)(16))/3

2500/3

833.3 ft^3

Hope this helps (●'◡'●)

The solution is : the volume of a pyramid with a square base is 833.3 ft^3.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

we know that,

The formula for the volume of a pyramid is:

V = (lwh)/3

V = volume

l = length of base

w = width of base

h = height of pyramid

Now we just correspond the values with the variables:

l = 12.5

w = 12.5

h = 16

And plug these values into the formula:

=((12.5)(12.5)(16))/3

=((156.25)(16))/3

=2500/3

=833.3 ft^3

Hence, The solution is : the volume of a pyramid with a square base is 833.3 ft^3.

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Answer:

MMXIV

Step-by-step explanation:

The two-thousand-fourteen is written in a roman numeral is MMXIV.

The following information regarding roman numerals is:

So we can conclude that the two-thousand-fourteen is written in a roman numeral is MMXIV.

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The phrase that completes the sentence is "determined by."

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Answer:

16 and 13

Step-by-step explanation:

Let the second no is x

First no = x+3

Twice the first is nine less than three times the second.

We can write in the form of equation as follows :

2(x+2) = 3x-9

Solving brackets first

2x+4=3x-9

Taking like terms together

9+4=3x-2x

13=x

First no = x+3 = 13 + 3 = 16

So, first and second numbers are 16 and 13 respectively.

You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.

To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:

FV = PV * \((1 + r)^n\)

Where:

FV is the future value

PV is the present value (initial investment)

r is the interest rate per period

n is the number of periods

In this case:

PV = $39,000

FV = $174,000

r = 10% per year

Let's calculate the number of periods (years):

FV = PV * \((1 + r)^n\)

174,000 = 39,000 * \((1 + 0.10)^n\)

Divide both sides by 39,000:

4.4615 = \((1.10)^n\)

Take the logarithm of both sides to solve for n:

log(4.4615) = n * log(1.10)

n ≈ log(4.4615) / log(1.10)

n ≈ 2.1270 / 0.0414

n ≈ 51.33 (rounded to two decimal places)

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Answer: 6x^3  I hope this helps! :D

Step-by-step explanation: The GCF of 18^3 and 30x^5 is 6x^3.

Answer:

let angle GJK be x

GJK=GHK (Base angle of isosceles triangle)

Step-by-step explanation:

x=5x+8

5x-x=8

4x=8

x=8/4

x=2 ans.

Hence,

5x+8

5*2+8

10+8

18.ans

Answer: 3) Not factorable

We cannot use the difference of squares method because we don't have a subtraction going on (ie "difference") and we don't have two perfect squares. The value 70 is not a perfect square.

We cannot factor out a GCF since the GCF here is 1, and that doesn't really affect things. Choice 4 is also not applicable because we don't have a trinomial. A trinomial has three terms.

You can find the coefficient of variation for your data set using a TI-84 calculator by following the below steps.

To find the coefficient of variation (CV) using a TI-84 calculator, follow these steps:

1. Enter the data set values into a list on your calculator. For example, if your data is stored in the list L1, enter the values into L1.

2. Calculate the mean of the data set using the calculator's statistical functions. Press the [STAT] button and navigate to the "Calc" menu. Choose the appropriate mean function (e.g., "1-Var Stats" or "mean") and select the list that contains your data (e.g., L1).

3. Calculate the standard deviation of the data set using the calculator's statistical functions. Press the [STAT] button, navigate to the "Calc" menu, and choose the appropriate standard deviation function (e.g., "1-Var Stats" or "stdDev"). Select the list containing your data (e.g., L1).

4. Divide the standard deviation by the mean and multiply by 100 to calculate the coefficient of variation. Store the standard deviation and mean values in variables if necessary. Use the formula CV = (stdDev / mean) * 100 to calculate the coefficient of variation.

By following these steps, you can find the coefficient of variation for your data set using a TI-84 calculator.

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To find the coefficient of variation on a TI-84 Plus calculator, enter the dataset into a list, calculate the mean and standard deviation, and then divide the standard deviation by the mean and multiply by 100.

To find the coefficient of variation on a TI-84 Plus calculator, follow these steps:

By following these steps, you can find the coefficient of variation for a dataset using a TI-84 Plus calculator.

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   "

Answer:

Step-by-step explanation:

Answer:

for A

go 3 units left and then form there go 4 units up(put -3 in between -2 and -4)

for B

from the origin (0) go two units down

for C

go 4 units to right and then from there go 5 units down(put -5 in between -4 and -6)

for D

go 3 units left and then 5 units down(put -3 in between -2 and -4 ,put -5 in between -4 and -6)

notes: each small square boxes is units

Step-by-step explanation:

Hope this is helpful!!

Answer:

1. The value of the variable, y is 11

2. (B) QRS is congruent to segment (E) ΔWXY by the hypotenuse leg congruency criteria

Step-by-step explanation:

1. The lengths of the sides of the given triangles ABC are  AB = 14, BC = 27, AC = 19, and ∡A = 32°

The lengths of the sides of the given triangle FGH, FG = 14, GH = 19, FH = 2y + 5, ∡G = 32°

From the given parameters, we have;

Segment AB (AB = 14) is congruent to segment FG (FG = 14)

Segment AC (AC = 19) is congruent to segment GH (GH = 19)

Angle ∡A (∡A = 32°) is congruent to angle ∡G (∡G = 32°)

∴ ΔBAC is congruent to ΔFGH by the Side-Angle-Side rule of congruency

Therefore, segment BC is congruent to segment FH by Congruent Parts of Congruent Triangle are Congruent, CPCTC

Segment BC = Segment FH by definition of congruency

∴ 27 = 2·y + 5

2·y + 5 = 27

2·y = 27 - 5 = 22

y = 22/2 = 11

y = 11

The value of the variable, y = 11

2. For option A. the vertices of triangle ABC are A(-7, 4), B(-4, 1), C(-2, 5)

The length of the sides are;

The length of side AB = √((-4 - (-7))² + (1 - 4)²) = 3·√2

The length of side BC = √((-4 - (-2))² + (1 - 5)²) = √20

The length of side AC = √((-2 - (-7))² + (5 - 4)²) = √26

For option B. the vertices of triangle QRS are Q(3, -4), R(3, -1), S(7, -1)

The length of the sides are;

The length of side QR = √((3 - 3)² + ((-4) - (-1))²) = 3

The length of side RS = √((7 - 3)² + (-1 - (-1))²) = 4

The length of side QS = √((3 - 7)² + ((-4) - (-1))²) = 5

For option C. the vertices of triangle DEF are D(-2, 6), E(1, 3), F(3, 7)

The length of the sides are;

The length of side DE = √(((-2) - 1)² + (6 - 3)²) = 3·√2

The length of side EF = √((3 - 1)² + (7 - 3)²) = √20

The length of side DF = √((3 - (-2))² + (7 - 6)²) = √26

For option D. the vertices of triangle TUV are T(-6, -5), U(-6, 1), V(4, 1)

The length of the sides are;

The length of side TU = √(((-6) - (-6))² + ((-5) - 1)²) = 6

The length of side UV = √(((-6) - 4)² + (1 - 1)²) = 10

The length of side TV = √(((-6) - 4)² + ((-5) - 1)²) = 2·√34

For option E. the vertices of triangle WXY are W(-6, 4), X(-6, 1), Y(-2, 1)

The length of the sides are;

The length of side WX = √(((-6) - (-6))² + (4 - 1)²) = 3

The length of side XY = √(((-6) - (-2))² + (1 - 1)²) = 4

The length of side WY = √(((-6) - (-2))² + (4 - 1)²) = 5

Therefore;

Segment QR of ΔQRS is congruent to segment WX of ΔWXY

Segment RS of ΔQRS is congruent to segment XY of ΔWXY

Segment QS of ΔQRS is congruent to segment WY of ΔWXY

Whereby QS and WY are the hypotenuse side of ΔQRS and ΔWXY respectively, because QS = WY = 5 = √(\(\overline {QR} ^2\) + \(\overline {RS} ^2\)) = (√(3² + 4²)

and also RS = XY, by the definition of congruency, we have;

QRS is congruent to segment ΔWXY by the hypotenuse leg congruency criteria

To find dz/dt using the chain rule, we need to calculate the derivatives of z with respect to x and y separately, and then multiply them by the derivatives of x and y with respect to t.

Given:

z =  \(cosh^{2} (xy)\)

x = (1/2)t

y = \(e^{t}\)

Let's start by finding the partial derivatives of z with respect to x and y:

∂z/∂x = \(2cosh(xy) * sinh(xy) * y\)  (using the chain rule)

∂z/∂y = \(2cosh(xy) *sinh(xy)*x\)    (using the chain rule)

Next, let's find the derivatives of x and y with respect to t:

dx/dt = 1/2

dy/dt = \(e^{t}\)

Finally, we can use the chain rule to find dz/dt:

dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt)

      = \(2cosh(xy) *sinh(xy)*y*(1/2) + 2cosh(xy)*sinh(xy)*x*e^{t}\)

Now, substitute the given expressions for x and y:

\(dz/dt = 2cosh((1/2)t*e^{t} * sinh((1/2)t*e^{t} *(1/2)* + 2cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t} *((1/2)t)\)

Simplifying further, we have:

\(dz/dt = cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t})* e^{t} + cosh((1/2)t* e^{t}*sinh((1/2)t*e^{t}* ((1/2)t)\)

This is the expression for dz/dt using the chain rule with the given values of x and y.

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Answer:

b

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

This is because when we do the work in the boxes we can see that B is the only answer that works with it.

Pls put me as brainliest ;)

Answer: Z<4

Step-by-step explanation:

Rearrange the equation

-3(z-6) - (2z-2)>0

-3z+18-2z+2>0

-5z +20>0

-5(z-4)>0

divide  both side by -5

z-4<0

z<4

Answer:

Step-by-step explanation:

1.In the equation there is no y-intercept so it will be at 0

2.The slope or rise over run is 3/1 and is positive because there are no negative signs. Going up 3 and to the right 1 is how to mark the points on your graph and the opposite side will be doing a -3 and -1 by going down three from the 0 points and to the left 1.

3.As seen in the graph there are the points given and the line directed on them.

4.We already determined that our slope is positive

m=3

b=0

If the equation is wx + wz = -3, then the value of w = -3 / (x + z)

The equation is given that

wx + wz = -3

The equation is defined as the mathematical statement that show the relationship between two expression with an equal sign. The inequality cannot be the part of equation. It consist of mathematical operators, different types of variable and numbers .

The equation is

wx + wz = -3

Take common term outside from the equation

w(x+z) = -3

Move the (x+z) to the right hand side of the equation

w = -3 / (x+z)

Hence, if the equation is wx + wz = -3, then the value of w = -3/(x+z)

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Answer:

3(n+5)≥17

Step-by-step explanation:

3(n+5)≥17 is the expression for three times the sum of a number n and 5 is at least 17.

The relationship between two expressions or values that are not equal to each other is called inequality.

Given that three times, the sum of a number n and 5 is at least 17.

According to the question, the expression will be = 3(n+5)≥17

Hence, 3(n+5)≥17 is the expression for three times the sum of a number n and 5 is at least 17.

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F; T; T; T; F; T; F; F;T; T. The rate of exchange between certain future dollars and current dollars is known as the forward exchange rate, not the pure rate of interest.

This statement accurately describes the concept of an investment, including the factors that compensate the investor. A dollar received today is worth more than the same dollar received in the future due to the time value of money. The three components mentioned (nominal interest rate, inflation premium, and risk premium) are indeed the components of the required rate of return. Financial intermediaries are not specifically related to primary capital markets. They facilitate transactions between savers and borrowers but may operate in various markets. Diversification with foreign securities can indeed help reduce portfolio risk by spreading exposure to different markets.

The total domestic return on German bonds is not the return experienced by a U.S. investor, as it would include exchange rate effects. A negative exchange rate effect for Japanese bonds would mean that the domestic rate of return is lower than the U.S. dollar return, not greater. The gifting phase and the spending phase can indeed be concurrent, such as when gifts are given for specific expenses. Long-term, high-priority goals often include working towards financial independence as a key objective.

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You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

In graphical form, the normal distribution appears as a "bell curve".

The normal distribution is the proper term for a probability bell curve.

In a normal distribution the mean is zero and the standard deviation is1. It has zero skew and a kurtosis of 3.

Normal distributions are symmetrical, but not all symmetrical distributions are normal.

The t-distribution describes the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.

Therefore,

You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

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Answer:

Step-by-step explanation:

A=length x width

143=(x)(x+6)

143=x squared +6x

X=12

the other might be 18

Retaining a higher percentage of earnings can result in a higher growth rate by providing more capital for reinvestment and fueling business expansion.

The formula for the Gordon Growth Model is as follows:

Expected Growth Rate = (Dividend / Stock Price) + Rate of Return

In this case, the dividend is given as $0.78, and the stock price is $16.25. The rate of return is stated as 7.80%. Plugging these values into the formula, we get:

Expected Growth Rate = (0.78 / 16.25) + 0.078 = 0.048 + 0.078 = 0.126

Converting this to a percentage, the expected growth rate is 12.6%. Therefore, Robert's forecast of PAMC's growth rate would be 12.6%.

The growth in earnings can contribute to the growth in dividends. Long-run earnings growth can result from various factors such as increased sales, cost management, innovation, and market expansion.

In terms of retaining a higher percentage of earnings, it can indeed result in a higher growth rate. When a company retains a higher portion of its earnings, it has more capital available for reinvestment into the business. This can be used for research and development, acquisitions, expanding operations, and other initiatives that can fuel growth. By retaining more earnings, a company can generate higher profits, which can ultimately lead to an increased growth rate.

To summarize, the relationship between earnings and dividends is that dividends are typically paid out of earnings, and growth in earnings can contribute to the growth in dividends. However, long-run earnings growth occurs due to various factors beyond just paying dividends.

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The correct answer is (a) fixed number of trials because there is no fixed number of trials in this case.

The doctor has the patients flip the coins until the end of the session, and then asks them to report the number of heads they got. Which of the following conditions for using the binomial model is not satisfied?The doctor has coins with a 50% chance of coming up heads. The doctor has patients flip the coins until the end of the session. The patients will then report how many heads they got. Which of the following conditions for using the binomial model is not met?The condition that is not satisfied for the use of the binomial model is a fixed number of trials. Since there is no fixed number of trials, the doctor may have to flip the coins several times. It is essential that the number of trials is fixed so that the binomial model can be used properly.In a binomial experiment, there are a fixed number of trials, each trial has two possible outcomes, the trials are independent, and the probability of success is the same for each trial. If any of these conditions are not met, the binomial model cannot be used. Therefore, the correct answer is (a) fixed number of trials because there is no fixed number of trials in this case.

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