After a 80% reduction, you purchase a new DVD player on sale for $160. What was the original price of the DVD player?
The original price was $

Answer: x=10

Step-by-step explanation:

sum of all the angles inside triangle is equal to 180degrees.

First angle: 9x-16

Second angle: 7x-5

Third angle: 3x+11

let's sum this angles:

9x-16+7x-5+3x+11=19x-10=180

19x=180+10=190

x=190/19=10

If Francisco wins 650.16 per month, he will earn a total of 7,801.92 per annum. Note that this is a multiplication exercise.

It is to be noted that Multiplication is a mathematical operation that involves multiplying two or more numbers together. It is often represented using the symbol "x" or "*".

Since there are 12 months in a year,  and Francisco earns 650.16 per annum,

Hence,

12 x 650.16 = 7,801.92

Thus, it is correct to state that where Francisco gets 650.16 per month, by the year's end, he will have earned a total of 7,801.92.

Note that Per Year and Per Annum are synonyms and can be used interchangeably.

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Step-by-step explanation:

=> 7/(5√3-5√2) × (5√3+5√2)/(5√3+5√2)

=> 7(5√3+5√2)/75-50

=> (35√3+35√2)/25.

after rationalising the denominator is 25.

hope this helps you.

The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.

The ratio of boy to girl who play kickball at race is 6 to 2

6 boys: 2 girls

Multiply the number of girls by the ratio:

18 girls x (6 boys / 2 girls) = 18 x 3 = 54

Subtract the number of girls from the total to get the number of boys:

54 - 18 = 36

Therefore, there are 12 boys who play kickball at race.

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Answer:

slope = - \(\frac{1}{4}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (8, - 2)

m = \(\frac{-2-0}{8-0}\) = \(\frac{-2}{8}\) = - \(\frac{1}{4}\)

Answer:

Choose... Coupon 2

Coupon 2 is a better deal becausse Coupon 1 would result in a total cost of $25.2

Coupon 2 would result in a total cost of $6.5

Choose Coupon 2

Step-by-step explanation:

Coupon 1: 18+(18x0.4) =

Coupon 2: 18+18=26 26x0.25=6.5

Answer:

Coupon 2

Step-by-step explanation:

Answer:

They made a profit of 7,130 dollars.

Step-by-step explanation:

So since they were charged 2995 a head then all youd have to do is multiply that by the number of people.

2,995 x 62 = 185, 690

Then add the total of the food.

44,640 + 59,520 + 42,800 + 31600 = 178,560

Then subtract their income from the money they spent.

185,690 - 178, 560 = 7,130

Answer: nahhh nope never

Step-by-step explanation:nahhh nope never

Question 17: If f(x) is a linear function and ƒ(−3) = -1 and ƒ(4) = 3, we can use these two points to find the equation for f(x).

Let's find the slope (m) first using the given points:

m = (ƒ(4) - ƒ(−3)) / (4 - (-3))

  = (3 - (-1)) / (4 + 3)

  = 4 / 7

Now that we have the slope, we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

Choosing one of the points, let's use (−3, −1):

y - (-1) = (4/7)(x - (-3))

y + 1 = (4/7)(x + 3)

Simplifying the equation:

y + 1 = (4/7)(x + 3)

y + 1 = (4/7)x + 12/7

Subtracting 1 from both sides:

y = (4/7)x + 12/7 - 1

y = (4/7)x + 12/7 - 7/7

y = (4/7)x + 5/7

So, the equation for f(x) is:

f(x) = (4/7)x + 5/7

Question 18:If f(x) is a linear function and ƒ(−4) = 4, we can use this point to find the equation for f(x).  Using the point-slope form of a linear equation, let's use the point (4, ƒ(4)):

y - 4 = m(x - (-4))

y - 4 = m(x + 4)

Since the slope (m) is not given, we cannot determine the exact equation with only one point.

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Answer:

The period of the tangent function is π because the graph repeats itself on intervals of kπ where k is a constant. If we graph the tangent function on −π2 to π2 , we can see the behavior of the graph on one complete cycle.

The tangent function does not have an amplitude because it has no maximum or minimum value. The period of a tangent function, y=atan(bx) , is the distance between any two consecutive vertical asymptotes..

so its not 1 but 2.

hope its right.

Answer: 21,400 mg

Step-by-step explanation: Multiply the mass value by 1000 .

Answer:

\(x = 2\)

Step-by-step explanation:

Solve for \(x\) :

\(-8 - 8x = -24\)

-Add both side by \(8\) :

\(-8 + 8 - 8x = -24 + 8\)

\(- 8x = -16\)

- Take \(8x\) and divide both sides of the equation:

\(\frac{-8x}{-8} = \frac{-16}{-8}\)

\(x = 2\)

So, the value of \(x\) is \(2\).

Answer:

x = 2

Step-by-step explanation:

I hope this helps!

The logarithm and exponential functions are inverse of each other. The exponential function raises a number to a power and the logarithm gives the power that the number has to be raised to in order to equal a given value. In other words, the exponential function expresses exponential growth, while the logarithm expresses exponential decay.

For example, if y = 2^x, then x = log2(y). This logarithmic relationship is useful in solving exponential problems and understanding exponential dynamics.

In exponential dynamics, logarithms are used to study and model changes that occur at exponential rates, such as population growth or decay, interest rate calculations, and many other real-world applications. The logarithmic relationship helps to simplify the exponential equations and make them easier to work with.

In summary, the logarithm and exponential functions are important in understanding exponential dynamics because the logarithmic relationship helps to simplify exponential problems and make them easier to solve.

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Suggestion: tell me that you want answer of all or anyone.

Answer:

y=0

Step-by-step explanation:

Remark that exponential functions have horizontal asymptotes .

Graph attached

Long after Mr. and Ms. Jones has been destroyed from the farm,  the animals called pigs invoke his name to scare the other animals into submission.

Indeed though the ranch possesses all of the necessary accoutrements to make the windmill, but the design presents a number of difficulties.

The creatures in the farm are struggle over how to break the available gravestone into manageable sizes for structure without picks and crowbars, which they're unfit to use.

And they eventually break the problem by learning to raise and also drop big monuments into the chase, smashing them into usable gobbets.

At the time of late summer, the creatures have enough broken gravestone to begin construction.

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Given the equation t = -0.0069d + 7.35, where t is the time of sunrise in hours after midnight and d is the number of the day in the year, To find the time of sunrise on December 25th, the 359th day of the year, we need to substitute 359 for d in the equation.

t = -0.0069(359) + 7.35

t = -2.4471 + 7.35

t = 4.9029

This means that the time of sunrise on December 25th is 4.9029 hours after midnight. To convert this to minutes, we can multiply 4.9029 by 60 (since there are 60 minutes in an hour).

4.9029 x 60 = 294.174

So the sun rose on December 25th at 294.174 minutes after midnight, which is equivalent to 4 hours and 54 minutes (294 minutes) after midnight. To the nearest minute, the sun rose on December 25th at 4:54 AM.

After 22 months, both classes will have the same number of people, with 484 individuals being in the morning class and 2220 individuals being in the afternoon class.

Let the number of months required to make the morning and afternoon classes equal to each other be m.

Then:40 + 22m = 22 + 88m222 + 88m = 4040 - 22mm + 4m = 200M + 22 = 200mM = 22 peopleAnd in the morning and afternoon classes respectively,

the number of individuals is:

40 + 22M = 40 + 22 (22) = 484 individuals222 + 88M = 222 + 88 (22) = 2220 individuals

Therefore,

after 22 months, both classes will have the same number of people, with 484 individuals being in the morning class and 2220 individuals being in the afternoon class.

Answer:After 22 months, both classes will have the same number of people, with 484 individuals being in the morning class and 2220 individuals being in the afternoon class.

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the tower is leaning at an angle of approximately 87.76 degrees.

To find the angle the tower is leaning, we can use trigonometry. Let's denote the angle as θ.

We have a right triangle formed by the leaning tower, the rope, and the ground. The side opposite to the angle θ is the height of the tower, which is 54 feet, and the side adjacent to the angle θ is the distance the end of the rope drops from the base of the tower, which is 3 feet.

Using the tangent function, we can express the relationship between the opposite and adjacent sides:

tan(θ) = opposite/adjacent

tan(θ) = 54/3

Now, we can calculate the angle θ by taking the inverse tangent (arctan) of both sides:

θ = arctan(54/3)

Using a calculator or trigonometric tables, we find that:

θ ≈ 87.76 degrees

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To find the percentage of time that cars will be unable to enter the queue, we need to use the M/M/1 queueing model with finite queue length. The M/M/1 model assumes that the arrival and service times are both exponentially distributed, which is the case in this problem. The finite queue length means that there is a limit to the number of cars that can be in the waiting line.

The parameters for this model are:

λ = 20 cars per hour = 0.333 cars per minute (arrival rate)
μ = 1 car per 2 minutes = 0.5 cars per minute (service rate)
K = 3 (maximum queue length)

The probability that the queue is full and a car cannot enter is given by the formula:

P(K) = (1 - ρ) * (ρ^(K+1)) / (1 - ρ^(K+1))

where ρ = λ / μ is the traffic intensity.

Plugging in the values for λ, μ, and K, we get:

ρ = 0.333 / 0.5 = 0.666
P(3) = (1 - 0.666) * (0.666^(3+1)) / (1 - 0.666^(3+1))
P(3) = 0.334 * 0.197 / (1 - 0.197)
P(3) = 0.0658

Therefore, the percentage of time that cars will be unable to enter the queue is 6.58%.

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The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.

a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.

b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.

c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.

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The result of dividing 1240.64 by 12.5 and rounding appropriately is 99.

To compute the division of 1240.64 by 12.5, divide the dividend 1240.64 by the divisor 12.5:

1240.64 ÷ 12.5 = 99.2512

The quotient is 99.2512.

To round the answer appropriately, we need to determine the desired level of accuracy. In this case, we are asked to round the answer appropriately, so we will round to the nearest whole number.

Since the decimal part of the quotient, 0.2512, is less than 0.5, we round down the whole number part, 99, to get the rounded answer:

Rounded Answer: 99

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The required result of 1240.64 divided by 12.5, rounded to two decimal places, is 99.25.

To compute 1240.64 divided by 12.5, we can simply divide the two numbers:

1240.64 / 12.5 = 99.2512

Now, to round the answer appropriately, we need to consider the desired level of precision. If we want to round to two decimal places, we can round the answer to:

99.25

Therefore, the result of 1240.64 divided by 12.5, rounded to two decimal places, is 99.25.

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Answer:

It is growth and the percentage increase is 46%

Step-by-step explanation:

The general form of an exponential function is;

Y = I(1 + r)^n

where Y is the present value, I is the initial, r is the growth or decay ratio, n is the number of times

To know if an exponential function is growth or decay, we need to know the repeating factor

If repeating factor is greater than 1, we have growth, if otherwise we have decay (less than 1).

As we can see in this case, we have r greater than 2, so what we have is growth

To get the percentage increase since it is growth, we equate;

1.46 = 1 + r

r = 1.46-1

r = 0.46 which is same as 46%

For given functions, "The y-intercept of f(x) is equal to the y-intercept of g(x)" is the correct answer i.e. A.

What is the definition of a function?

In mathematics, a function is a relation between two sets of elements, called the domain and the range, such that each element in the domain corresponds to exactly one element in the range.

More specifically, a function is a rule that assigns each element of the domain (input) to a unique element in the range (output). The notation for a function f with domain D and range R is typically written as:

f: D → R

f is a function mapping elements from the domain D to elements in the range R.

Now,

To find the y-intercept of a function, we set x = 0 and evaluate the function.

For \(f(x) = -4(1.09)^x\), when x = 0, we get:

\(f(0) = - 4(1.09)^0 = - 4\)

So, the y-intercept of f(x) is -4.

For g(x), we are given a table of values, and we can see that when x = 0, g(x) = -4. Therefore, the y-intercept of g(x) is also -4.

Hence,

          The first option "The y-intercept of f(x) is equal to the y-intercept of g(x)" is the correct answer.

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Answer:

The scale on the map is incorrect.

Step-by-step explanation:

Answer:

bro what is the diagonal of second square.

Answer:

$100

$120 in and $20 out

Step-by-step explanation:

Answer:

the answer is $100

because if the bank is loosing 2% they are having to pay $20 bc 0.02 x 1,000= 20, and they are earning 12% they getting 120 bc 0.12 x 1,000 = 120, and 120-20= $100. you have to subtract the $20 because that is what the bank is paying, so it's losing money