Daniel works no more than 16 hours a week while attending college. He wants to spend at least 2 hours but no more than 10 hours a week parking cars. He is paid $8 (x) and $7 per hour working at the Haul-mart store (y). What are Daniels maximum earnings?

The equation \($x^3 + y^3 + z^3 =\)k , where k ranges from 1 to 100, is a Diophantine equation that is commonly known as the "sum of three cubes" is correct.

A Diophantine equation is a polynomial equation where the coefficients and variables are integers, and the solutions are required to be integers as well.

It is named after the ancient Greek mathematician Diophantus and has applications in cryptography, coding theory, and computer science.

The problem is to find integer solutions for x, y, and z that satisfy the equation for each value of k. While there are some values of k that have known solutions, there are others that have remained unsolved for a long time.

For instance, the case k = 33 was an open problem for over 60 years until it was recently solved in 2019. The sum of three cubes problem is a well-known problem in number theory that has applications in various fields of science and engineering.

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The solution of the differential equation y' = x²y is y = ce^(x³/3), where c is an arbitrary constant.

To solve the given differential equation, we can separate the variables and integrate both sides. Rearranging the equation, we have y'/y = x². Integrating both sides with respect to x, we get ∫(1/y)dy = ∫x²dx.

The integral of (1/y)dy is ln|y| + C₁, where C₁ is the constant of integration. The integral of x²dx is (1/3)x³ + C₂, where C₂ is another constant of integration. Therefore, our equation becomes ln|y| + C₁ = (1/3)x³ + C₂.

Simplifying further, we can rewrite the equation as ln|y| = (1/3)x³ + C, where C = C₂ - C₁ is a combined constant.

Taking the exponential of both sides, we have |y| = e^((1/3)x³ + C). Since the absolute value of y can be positive or negative, we can write y = ±e^((1/3)x³ + C).

Consolidating the constants, we let c = ±e^C, where c is a new arbitrary constant. Thus, the final solution is y = ce^(x³/3), where c can take any real value.

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Taking a difference, we can see that the trip to city C is 482.6 mi longer.

Here we know that the distance from city a to city b is 256.8 miles, and the distance from city a to city c is 739.4 miles

To find how much farther is the trip to city c than the trip to city b, we just need to take the difference between the two distances above.

That means that we need to take the distance to city c and subtract the distance to city b.

We will get:

739.4 mi -  256.8 mi = 482.6 mi

The trip to city C is 482.6 mi more than the trip to city B.

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Mr. Wrench would charge $139 for a two-hour repair job for coming out to the house as N dollars and the charge per hour of work as x dollars.

Let's denote the charge for coming out to the house as N dollars and the charge per hour of work as x dollars. We are given the following information:

For a one-hour repair job, the total charge is $97.

For a five-hour repair job, the total charge is $265.

From this, we can set up two equations:

N + 1x = 97 (equation 1)

N + 5x = 265 (equation 2)

To find the charge for a two-hour repair job, we need to solve for N and x in the equations above and substitute the value of x into the equation for a two-hour repair job.

Subtracting equation 1 from equation 2, we get:

(5x - 1x) = (265 - 97)

4x = 168

x = 42

Now we can substitute the value of x into equation 1 to solve for N:

N + 1(42) = 97

N + 42 = 97

N = 97 - 42

N = 55

Therefore, the charge for a two-hour repair job is N + 2x:

55 + 2(42) = 55 + 84

= $139

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Answer:

29% of the drive

Step-by-step explanation:

The plot of the problem is:

Transmitter at origin (0,0)  

City to the north at (0,70)

City to the east at (74,0)

The path from city to city is a line with slope:

m = (-70)/74 = -35/37

and y-intercept at y = 70, so the equation is y = (-35/37)*x + 70.

The transmitter reach the area enclosed by the next circle:

x^2 + y^2 = 53^2

See the picture attached

The intersection is gotten from the picture or solving:

x^2 + [(-35/37)*x + 70]^2 = 53^2

the points approximately are: (24.1, 47.2) and (45.8, 26.7)

From Pythagorean theorem the total distance of the trip is:

d1 = √(70^2 + 74^2) ≈ 101.9 miles

And the distance when the signal is picked up is:

d2 =√ [(45.8 - 24.1)^2 + (47.2 - 26.7)^2] ≈ 29.9 miles

You will pick up a signal from the transmitter in (d2/d1)*100 = 29% of the drive.

he length of the hypotenuse of the form is 17 bases.

A triangle is a polygon that has three sides, three vertices, and three angles. It's the simplest polygon and can be formed by connecting threenon-collinear points with straight line parts. Triangles are extensively studied in figure and are used in colorful fields similar as drugs, engineering, and armature.

Given by the question.

The length of the hypotenuse of a right triangle can be set up using the Pythagorean theorem, which states that the forecourt of the length of the hypotenuse is equal to the sum of the places of the lengths of the legs.

In this case, the legs of the right triangle have lengths of 8 bases and 15 bases, so we can use the Pythagorean theorem to find the length of the hypotenuse, which we'll call c:

\(C^{2}\) = 8^2 + \(15^{2}\)

\(c^{2}\) = 64 + 225

\(c^{2}\) = 289

To solve for c, we take the square root of both sides:

c = sqrt (289)

c = 17

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numerele care apartin si lui a si lui b sunt:

15

a/b={3,9,21,27}

b/a={5,25}

b)

in total sunt 15 numere impare pana la 30(cazuri posibile)

numai 7 numere apartin lui AUB(cazuri favorabile)

probabilitatea= cazuri favorabile/cazuri posibile

probabilitatea=7/15

crown?

Answer:

Step-by-step explanation:

The range of ages may be 39 years, it does not provide sufficient information to determine the actual distribution or spread of ages within that range.

Andy's calculation of the range of ages as 39, based on subtracting the minimum age from the maximum age (50 - 11), is incorrect. The range of a set of values represents the difference between the maximum and minimum values, but it does not necessarily reflect the actual span or dispersion of the values within that range.

In the context of ages, the range refers to the difference between the highest and lowest ages in a given group. However, this calculation alone does not provide any information about the distribution or spread of ages within that range.

For example, if a group consists of individuals with ages 11, 12, 13, 14, ..., 49, 50, the range would still be 39 years (50 - 11). However, the ages within that range are evenly distributed and not widely spread.

On the other hand, if the group has ages 11, 11, 12, 13, ..., 49, 50, the range would still be 39 years, but the ages are tightly clustered around the lower end of the range.

Therefore, while the range of ages may be 39 years, it does not provide sufficient information to determine the actual distribution or spread of ages within that range.

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Answer:

1. 132.    .2     143

Step-by-step explanation:

Answer:

.25

Step-by-step explanation:

The sum of the two numbers -1.5 and 1.75 is 0.25, and it can be plotted on the number line as shown below.

Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.

The two given numbers when added will be equal to,

-1.5 + 1.75

= 0.25

Now, if the number 0.25 is plotted on the given number line then it will look as shown below.

Hence, the sum of the two numbers -1.5 and 1.75 is 0.25, and it can be plotted on the number line as shown below.

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\(\stackrel{\textit{\Large morning rate}}{\cfrac{\stackrel{strawberries}{3}}{\underset{minutes}{4}}}~\hspace{7em}\stackrel{\textit{\Large afternoon rate}}{\cfrac{\stackrel{strawberries}{2}}{\underset{minutes}{3}}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\underline{3}}{4}~~ - ~~\cfrac{2}{3}\implies \cfrac{(3)\underline{3}~~ - ~~(4)2}{\underset{\textit{using this LCD}}{12}}\implies \cfrac{9-8}{12}\implies \cfrac{1}{12}\qquad \impliedby \textit{their difference}\)

The equation of S is x^2 + z^2 = 16. S is a cone. The trace of S on the x-z plane is a circle, and the trace of S on the y-z plane is an ellipse.

The curve y=4(x^2-1) is a parabola with its vertex at the origin and its axis parallel to the y-axis. When this curve is revolved about the y-axis, the resulting surface is a cone.

The equation of a cone with its vertex at the origin and its axis parallel to the z-axis is x^2 + z^2 = r^2, where r is the distance from the vertex to the point on the cone where the axis intersects the surface. In this case, r=4, so the equation of S is x^2 + z^2 = 16.

The trace of S on the x-z plane is obtained by setting y=0 in the equation of S. This gives x^2 + z^2 = 16, which is the equation of a circle with radius 4.

The trace of S on the y-z plane is obtained by setting x=0 in the equation of S. This gives z^2 = 16, which is the equation of an ellipse with semi-major axis 4 and semi-minor axis 0.

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An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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Answer:

Step-by-step explanation:

Given a graph showing two solid lines that cross in an X pattern with the left quadrant shaded, you want to know the system of equations that is being graphed.

The answer choices tell you that the boundary lines have equations ...

The boundary lines on the graph are solid, so they are included in the solution set. Both inequalities will include the "or equal to" case. (This eliminates choices B and C.)

The shading on the graph is to the left of each line, where x-values are less than those on the line. The shading is above the line with positive slope.

To tell where the shading is for a given inequality, look at the inequality symbol and a variable with a positive coefficient. (Coefficient and constant values do not matter for the purpose of determining shading.)

Knowing how the shading works, you can reject choice D:

That is, for this system of equations, the shading would be in the right quadrant of the X where the lines cross.

The system of inequalities you're looking for is the one shown in the attachment (choice A). These have shading to the left of the solid line in both cases:

The scale of measurement used for the independent variable in a research study is determined by the nature of the variable and the research question. The four scales of measurement are nominal, ordinal, interval, and ratio.

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Answer:

1/64

Step-by-step explanation:

(1/8)² = 1/64

Answer:

I say it's a

Step-by-step explanation:

I hope this help

According to the question To correct for bias in estimating population standard deviation from a sample, we divide by the number of scores minus one.

When calculating the standard deviation, we compute each individual's distance from the mean and then average those distances. Dividing by the number of scores minus one instead of just the number of scores is a correction known as Bessel's correction.

It is necessary because using the exact sample size would lead to a biased estimate of the population standard deviation. By subtracting one from the sample size, we account for the fact that the sample mean is used in the calculation, introducing some degree of uncertainty.

This adjustment ensures that the sample standard deviation is an unbiased estimator of the population standard deviation, providing a more reliable measure of variability.

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Here is ur answer

30.48 centimeters

Answer:

Step-by-step explanation:

Here your "What is 12 inches in length?" question answers itself.  Not trying to be funny, but "12 inches in length" is just that:  a length of 12 inches.

If you want this result in a different unit of measurement, go ahead and use the correct conversion factor or factor.

12 inches is 1 foot, both measures of length

Since 1 meter = 39.37 foot,

                   1 meter

12 inches ----------------- = 0.305 meter

                   39.37 in

and so on.

The calculated length of each side of the door is 2(3y - 2)

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

Door = isosceles right triangle

Area = 18y² - 24y + 8

Represent the length of each side of the door with x

So, we have

Area = 1/2x²

Substitute the known values in the above equation, so, we have the following representation

1/2x² = 18y² - 24y + 8

This gives

x² = 36y² - 48y + 16

Factorize

x² = 4(3y - 2)²

So, we have

x = 2(3y - 2)

This means that the length of each side of the door is 2(3y - 2)

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We can see that Kito has been billed correctly for his purchase. Hence, the correct option is A. Kito has been billed correctly.

Given that Kito made an online purchase of a guitar case for $39.99, a tuner for $24.99, and picks for $26.99, we can calculate the total purchase price as follows: Total Purchase Price = Cost of Guitar Case + Cost of Tuner + Cost of Picks= $39.99 + $24.99 + $26.99= $91.97

Now, taxes are 6% of the total purchase price. So, the tax amount will be: Tax Amount = 6% of Total Purchase Price= 6/100 × $91.97= $5.52

Therefore, the total purchase amount including tax will be: Total Purchase Amount = Total Purchase Price + Tax Amount= $91.97 + $5.52= $97.49Now, Kito selects express shipping.

As per the given table, express shipping for purchase between $50 up to $100 costs $8.20. Since the total purchase amount ($97.49) is in this range, the express shipping cost will be $8.20.

Now, the total amount billed to Kito's credit card is $105.69. We need to determine if Kito has been billed correctly or not.

Total Amount Billed = Total Purchase Amount + Shipping Cost= $97.49 + $8.20= $105.69Therefore, we can see that Kito has been billed correctly for his purchase. Hence, the correct option is A. Kito has been billed correctly.

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Answer:

a) P(blue, then even) = 3/8

b) P(not red, then less than 7) = 9/20

c) P(green, then at least 3) = 1/10

Step-by-step explanation:

a) The probability of getting blue on the first spinner is 3/4, and the probability of getting an even number on the second spinner is 2/4 or 1/2 since there are two even numbers (4 and 8) out of four possible outcomes. So, the probability of getting blue, then even is:

P(blue, then even) = P(blue) × P(even | blue) = (3/4) × (1/2) = 3/8

b) The probability of not getting red on the first spinner is 3/4 since there are three non-red colors out of four. The probability of getting a number less than 7 on the second spinner is 6/10 or 3/5 since there are six possible outcomes (1, 2, 3, 4, 5, 6) out of ten that satisfy this condition. So, the probability of not getting red, then less than 7 is:

P(not red, then less than 7) = P(not red) × P(less than 7 | not red) = (3/4) × (3/5) = 9/20

c) The probability of getting green on the first spinner is 1/4. The probability of getting a number at least 3 on the second spinner is 4/10 or 2/5 since there are four possible outcomes (3, 4, 5, 6) out of ten that satisfy this condition. So, the probability of getting green, then at least 3 is:

P(green, then at least 3) = P(green) × P(at least 3 | green) = (1/4) × (2/5) = 1/10

Therefore, the probabilities are:

a) P(blue, then even) = 3/8

b) P(not red, then less than 7) = 9/20

c) P(green, then at least 3) = 1/10

(Refrence to chatgpts work)

Answer:

Polynomials are algebraic expressions that consist of variables and coefficients. ... We can perform arithmetic operations such as addition, subtraction, multiplication and also positive integer exponents for polynomial expressions but not division by variable. An example of a polynomial with one variable is x2+x-12.

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See this attachment

Answer:

x = 8√3

Step-by-step explanation:

Using the Pythagorean Theorem:

a² + b² = c²

x² + 8² = 16²

x² + 64 = 256

x² = 192

√x² = √192

x = √64 √3

x = 8√3

Answer:

141 = 212/u

Step-by-step explanation:

To find the slope of a line, we need to take two point of the graph where the line crosses the corners of the grid.

We can take the following two points:

We will use the definition of the slope:

And we draw a a triangle between the points to find the change in x and the change in y:

We substitute the changes in the slope formula:

Answer: 3/2

Answer:d = distance down wind d - 5 = distance back time = distance ÷ speed x = d/18 x = (d - 5)/(15)

so d/18 = (d - 5)/15. Cross multiply 18d - 120 = 15d = 40-120 = -5d 24 = d so the whole trip assuming the bird gets back to the starting point is 48 miles..

Step-by-step explanation: