f (x) = 5x8 - 25x7
What is the degree of f

Answer: 12 dimes

Step-by-step explanation: 12 quarters = 3.00

five nickels = 3.25

12 dimes = 4.45

13 pennies = 4.58

Yes, Set K is a function.

To determine if Set K is a function, we need to check if for every x-value in Set K, there is a unique corresponding y-value.

Set K is defined as {(x, y) | x - y = 5}.

This means that any pair (x, y) in Set K must satisfy the equation x - y = 5.

To test if it is a function, we can consider two scenarios:

If we fix a value for x, is there a unique value for y that satisfies the equation x - y = 5?

If we fix a value for x, say x = 7, we can substitute it into the equation and solve for y:

7 - y = 5

-y = 5 - 7

-y = -2

y = 2

In this case, there is a unique value of y (y = 2) that satisfies the equation x - y = 5 when x = 7.

If we fix a value for y, is there a unique value for x that satisfies the equation x - y = 5?

If we fix a value for y, say y = 3, we can substitute it into the equation and solve for x:

x - 3 = 5

x = 5 + 3

x = 8

In this case, there is a unique value of x (x = 8) that satisfies the equation x - y = 5 when y = 3.

Since for every x-value in Set K, there is a unique corresponding y-value, and vice versa, we can conclude that Set K is indeed a function.

Therefore, Set K is a function.

For similar question on function.

https://brainly.com/question/18102431  

#SPJ8

Answer:  32/35

Step-by-step explanation:

reduce the expression , if possible , by cancelling the common factors

Answer: A (3, -4)

Step-by-step explanation:

A minimum is at the lowest point on the parabola. The minimum and maximum can be seen by looking at the vertex.

If you go right 3 spaces on the x-axis horizontally, then down 4 spaces vertically on the y-axis you get (3, -4).

4 is negative because you are going down below the x-axis.

Running Bear ended up 29.204 miles from the village.

Running Bear left the village and traveled 30 miles in a direction of 30°. Then he went 50 miles in a direction of 220°. To find out how far he ended up from the village, we need to add up the distances he traveled in both directions.

Think of it like putting two arrows end to end on a piece of paper. The first arrow represents the 30 miles he traveled at 30°, and the second arrow represents the 50 miles he traveled at 220°. The total distance from the village to the final point is equal to the length of the combined arrow.

We can represent the two displacements as vectors in a rectangular coordinate system, with the x-axis as the East-West direction and the y-axis as the North-South direction.

The first displacement, 30 miles at 30°, can be written as a vector in the x and y directions using trigonometry:

x1 = 30 cos 30° = 15

y1 = 30 sin 30° = 15

The second displacement, 50 miles at 220°, can be written as a vector in the x and y directions using trigonometry:

x2 = 50 cos 220° = -25

y2 = 50 sin 220° = -43.301

The total displacement from the village to the final point is found by adding the components of the two vectors:

x = x1 + x2 = 15 - 25 = -10

y = y1 + y2 = 15 - 43.301 = -28.301

Finally, we can use the Pythagorean theorem to find the magnitude (distance) of the total displacement:

d = √(-10)^2 + (-28.301)^2 = √851.121 = 29.204 miles

So, Running Bear ended up 29.204 miles from the village.

You can learn more about distance at

https://brainly.com/question/26550516

#SPJ4

For the given statement after evaluating both the options the correct option is true under the condition that scores increase and null hypothesis is used to find out Treatment effect.

Here, null hypothesis clearly states that there is no significant difference is observed in comparison of sample mean and population mean.

Null hypothesis refers to statistical process which takes certain assumptions regarding two sets of different variables. In the branch of science it is used to find credibility regarding a sample data.

For the given case, the null hypothesis presents   that the population mean remains unchanged (m = 60) post  treatment, doesn't matter if it is greater than or equal to 60. The alternative hypothesis will be increases the mean  for the treatment (m > 60).

To learn more about Null hypothesis,

https://brainly.com/question/4436370

#SPJ4

True. Your statement is: A researcher administers a treatment to a sample from a population with a mean of m = 60. If the treatment is expected to increase scores and a one-tailed test is used to evaluate the treatment effect, then the null hypothesis would state that m ≥ 60.

The null hypothesis typically represents no effect or no difference. In this case, the null hypothesis would state that the population mean remains unchanged (m = 60) after the treatment, not that it is greater than or equal to 60. The alternative hypothesis would be that the treatment increases the mean (m > 60).

To learn more about mean visit;

https://brainly.com/question/31101410

#SPJ11

Answer: Plan A

Step-by-step explanation:

If you choose plan B, then it will take 12 weeks to pay it off but plan A will take 11 weeks.

Hopefully, this helps.

The length of the median from vertex E is 2 * sqrt(5).

In geometry, a vertex of a triangle is a point where two or more sides of the triangle intersect. A triangle has three vertices, one at each endpoint of its three sides. The three vertices of a triangle are denoted by capital letters, usually A, B, and C.

To find the length of the median from vertex E, we need to first determine the midpoint of the side opposite to vertex E, which is the midpoint of FG. We can use the midpoint formula to find this point:

Midpoint of FG = ( (x_F+x_G)/2, (y_F+y_G)/2 )

= ( (-4+0)/2, (-4+4)/2 )

= (-2, 0)

Next, we can use the distance formula to find the length of the line segment between E and the midpoint of FG:

Length of median from vertex E = distance between E and midpoint of FG

= sqrt( (x_E - x_midpoint)^2 + (y_E - y_midpoint)^2 )

= sqrt( (2 - (-2))^2 + (-2 - 0)^2 )

= sqrt(16 + 4)

= sqrt(20)

= 2 * sqrt(5)

Therefore, the length of the median from vertex E is 2 * sqrt(5).

Learn more about vertex of triangle below.

https://brainly.com/question/29638000

#SPJ1

The greatest number of bags Caesar can make is 16 bags. Each of these bags will have 5 boxes of pasta and 8 jars of sauce.

Find the greatest common factor of 32 and 48

The greatest common factor of 32 and 48 is 16

So, the greatest number of bags Caesar can make is 16 bags

Number of pasta in each bag = 32/16

= 5 boxes of pasta per bag

Number of sauce in each bag = 48/16

= 8 jars of sauce per bag

If Caesar made fewer bags, he would have boxes of pasta and jars of sauce remaining.

He could use 8 bags but this is not the greatest number he could use.

Therefore, Caesar can use the greatest common factor to determine the highest number of bags he could use.

Read more on the greatest common factor:

https://brainly.com/question/219464

#SPJ1

The expected number of times that both coins have come up tails will be 0.5 or 50%.

The probability of both coins coming up tails on a single flip is 1/4, since each coin has a 1/2 probability of coming up tails and the events are independent. If we flip the coins n times, the number of times both coins come up tails is a binomial random variable with parameters n and 1/4.

The expected value of a binomial random variable is given by np, where p is the probability of success on a single trial. In this case, we have p = 1/4, so the expected number of times that both coins come up tails in n flips is n(1/4). Therefore, if we flip the coins twice simultaneously, the expected number of times that both coins come up tails is (2)*(1/4) = 0.5.

To learn more about coins, click here:

https://brainly.com/question/29869268

#SPJ11

Answer:

A. x = 15

Step-by-step explanation:

2x + 3 * (x - 10) = 45

2x + 3x - 30 = 45

5x - 30 = 45

5x = 75

x = 15

The probability that the service time will be more than three minutes is 0.3012.

Given that the average wait time at the Rivertown bank's neighborhood branch is 2.5 minutes and has an exponential distribution,

The time it takes to succeed in a continuous sequence of independent trials is described by the exponential distribution, which is a continuous probability distribution.

At the River Town Bank's neighborhood branch, the random variable X service time has an exponential distribution with a mean value of 2.5 minutes. Therefore,

\(f(x)=\left\{\begin{array}{ll}\theta e^{-\theta x},& \theta \geq 0,0\leq x\leq \infty\\0&\text{otherwise}\end{array}\)

E(x)=1/θ

θ=1/2.5

θ=0.4

The probability that the service time will be longer than three minutes:

\(\begin{aligned}P(X > 3)&=1-P(X\leq 3)\\ &=1-(1-e^{-0.4\times 3}\\ &=e^{-1.2}\\ &=0.3012\end\)

Since the service duration has an exponential distribution and a mean of 2.5 minutes, the needed chance that it will exceed 3 minutes is 0.3012.

Learn more about exponential function from here brainly.com/question/18596455

#SPJ1

The car will travel approximately 11.829 if its wheels revolve 10,000 times without slipping.

First, we need to find the circumference of the wheel, which is given by the formula:

circumference = pi x diameter

where pi is approximately equal to 3.14.

So, the circumference of the wheel = 3.14 x 24 = 75.36 inches.

Next, we need to find the distance traveled by the car in one revolution of the wheel, which is equal to the circumference of the wheel.

Distance traveled by the car in one revolution of the wheel = 75.36 inches = 0.0011829 miles (1 inch = 0.000015783 miles).

Therefore, the distance traveled by the car in 10,000 revolutions of the wheel = 0.0011829 x 10,000 = 11.829 miles.

Rounding this answer to two decimal places, we get the final answer as approximately 11.829.

For more questions like Distance click the link below:

https://brainly.com/question/15172156

#SPJ11

Answer:

p=6q, so when q=10, p=6*10= 60

so when q=10, p=60

Answer:

The value of p is p = 6q

Step-by-step explanation:

Answer:

-48. You multiply the figures

Answer:

B. -48

Explanation:

Simply -16 multiplied by 3. When one negative number is multiplied, the product is a negative. When two negative numbers are multiplied together, the product is positive.

Answer:

First number is -29.

Second number is -23.

Step-by-step explanation:

Num=second-6

2Num=3second+11

Substitution

2(second-6)=3second+11

2second-12=3second+11

Subtract 2second from 3 second and subtract 11 from -12

-23=second

Num=(-23)-6

Num=-29

Answer:

Find the negative reciprocal of the slope of the original line and use the point-slope formula y−y1=m(x−x1) to find the line perpendicular to y=3x−5. y=−13x−2

Step-by-step explanation:

please look at the picture i sent

Answer:

4(a) 6

4(b) 4

4(c) 7

Q5 = 4

Step-by-step explanation:

4(a) = 3/3 = 18

1/3 = 18 ÷ 3 = 6

4(b) = 4/4 = 16

1/4 = 16 ÷ 4 = 4

4(c) = 5/5 = 35

1/5 = 35 ÷ 5 = 7

Q5 = 3/3 = 12

1/3 = 12 ÷ 3 = 4

Answer:

62400

Step-by-step explanation:

Lets ignore everything above 394 because those numbers are the only ones we are focusing on right now.

94 is not less than 50

94 is bigger than or equal to 50

Round up:

394 ---> 400

= 62,400

Answer:

62,400

Step-by-step explanation:

You would round 90 to the nearest hundred which is 400

Line given

Comapre to y=mx+b

Parallel lines have equal slope

Equation in point slope form

Answer:

1/13

Step-by-step explanation:

A standard 5-card deck has four fives.

p(5) = 4/52 = 1/13

Answer:

x=3

Step-by-step explanation:

Answer: 38

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

A simple way to find the answer is to first find 10% of 40 by moving the decimal one place to the left.

Then you have 4, multiply that by 9. Because 4 is 10% so 4 times 9 would give you 90%

Now you have 36, to find the last 5% just half 10%, so 2, and add that on

Your answer is 38.

Answer:

The solution to the system of equations be:

(x, y) = (15, -25)

Therefore, the fourth system of equations i.e. 2x+y=5 and 2x – y=55 has the ordered pair (15, – 25) as its solution.

Step-by-step explanation:

Let us solve and check the 4th system of equations

2x+y=5

2x – y=55

solving the system of equations

\(\begin{bmatrix}2x+y=5\\ 2x-y=55\end{bmatrix}\)

subtracting

\(2x-y=55\)

\(-\)

\(\underline{2x+y=5}\)

\(-2y=50\)

so the system of equations becomes

\(\begin{bmatrix}2x+y=5\\ -2y=50\end{bmatrix}\)

solve -2y = 50

\(-2y=50\)

Divide both sides by -2

\(\frac{-2y}{-2}=\frac{50}{-2}\)

\(y=-25\)

\(\mathrm{For\:}2x+y=5\mathrm{\:plug\:in\:}y=-25\)

\(2x-25=5\)

Add 25 to both sides

\(2x-25+25=5+25\)

Simplify

\(2x=30\)

Divide both sides by 2

\(\frac{2x}{2}=\frac{30}{2}\)

simplify

\(x=15\)

Thus, the solution to the system of equations be:

(x, y) = (15, -25)

Therefore, the fourth system of equations i.e. 2x+y=5 and 2x – y=55 has the ordered pair (15, – 25) as its solution.

A A flavor of ice cream is selected at random; A topping for the ice cream is selected at random. This is B. dependent events.

Events that are dependent upon prior events are called dependent events. The results of earlier events have an impact on these current ones. For example, two or more events that are interdependent are referred to as dependent events.

If one event is accidentally altered, another is probably going to be different.

If two events are interdependent, then the result of the first event will influence the result of the second even more.

The ice cream in this case represented dependent event.

Learn more about dependent events on

https://brainly.com/question/14106505

#SPJ1

The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.

Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.

Net Present Value = 150000 / (1 + 0.20)^10 - 47500

Net Present Value = $67,482.22

Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.

Know more about NPV here:

https://brainly.com/question/32720837

#SPJ11

The answers to all parts is shown below.

Using Pythagoras theorem

1. (r+2)² = r² + 4²

r² + 4 + 4r = r² + 16

4r = 12

r= 3

2. (r+8)² = r² + 12²

r² + 64 + 16r = r² + 144

16r = 80

r= 5

3. (r+9)² = r² + 15²

r² + 81 + 18r = r² + 225

18r= 144

r= 8

We know the tangent drawn from external points are equal in length

1. x = 22

2. x+12 = 3x

x= 6

3. 5x-4 = 2x + 2

3x = 6

x= 3

Learn mor about Tangent here:

https://brainly.com/question/23265136

#SPJ1

Answer:

6 litres

Step-by-step explanation:

.80 * 6 = 4.80

Mark can buy 6 litres of milk for 80p per.

leaving 20p left, of his £5

hope this helps:)

Answer:

this is simple math.

Step-by-step explanation:

easy, mark does have a 5 dollar note, and a litre of milk that costs 80p

he can buy as many as he can, so he buys around;

mark buys over; you divide. By dividing this answer you will get your result. I apologize if this answer didn't help out.