two players take turn playing the following game. initially, a positive integer n is written on the blackboard

Answer: the third and 5th option but I'm not sure if its right

Answer: horizontally shrink by a factor of 2.

The graph of g(x) will be compressed in the y-direction by a factor of 1/2 as compared to f(x).

Dilation is a type of transformation in which the object either compresses or enlarges.

Rewrite the function g(x) in terms of f(x).

g(x)= (1/2) f(x)

Compare the obtained equation by g(x)=cf(x) and determine the value of c.

c=1/2

Since 0<c<1, the dilated function will be compressed in the y-direction by a factor of c=1/2.

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Answer: x = 3

Step-by-step explanation:

6x - 5 + 2x + 3 = 22 (Segment Addition Postulate)

8x - 2 = 22 (Combine Like Terms)

8x = 24 (Inverse Operation)

x = 3 (Division Property)

The answer is d

because you're waiting too long.

Answer:

0.81,74%,5/8,31/50

Step-by-step explanation:

74% means 74/100 which equals to 0.74, and 5/8 is 0.625, and lastly 32/50 is 0.62 so it leaves us with 0.81 as the greatest so we can start ordering them

0.81,74%(0.74),5/8(0.625), 31/50(0.62)

Answer:

14)

21√2

15)

Leg: 7√3

Hypotenuse: 14

Step-by-step explanation:

The hypotenuse is √2 as long as each leg. That means the leg is 42/√2. Simplified to make 21√2.

The hypotenuse is always twice as long as the shortest leg on a 30-60-90 triangle. The longer leg is √3 as long as the shortest side.

The number of one-to-one functions from a set with five elements to sets with one, two, three, four, and five elements are 1, 20, 60, 120, and 1, respectively.To answer this question, we need to use the concept of one-to-one functions.

A one-to-one function is a function where each element in the domain corresponds to a unique element in the range. In other words, no two elements in the domain can have the same image in the range.

Let's consider each case separately.

1. Set with one element: In this case, there is only one possible function since there is only one element in the range that needs to be mapped to.

2. Set with two elements: There are a total of 20 possible one-to-one functions from a set with five elements to a set with two elements. To see why, we can think of it as choosing two distinct elements from the domain to map to the two elements in the range. There are 5 choices for the first element, and 4 choices for the second element (since we can't choose the same element twice). So the total number of possible functions is 5 x 4 = 20.

3. Set with three elements: There are a total of 60 possible one-to-one functions from a set with five elements to a set with three elements. To see why, we can think of it as choosing three distinct elements from the domain to map to the three elements in the range. There are 5 choices for the first element, 4 choices for the second element, and 3 choices for the third element. So the total number of possible functions is 5 x 4 x 3 = 60.

4. Set with four elements: There are a total of 120 possible one-to-one functions from a set with five elements to a set with four elements. To see why, we can think of it as choosing four distinct elements from the domain to map to the four elements in the range. There are 5 choices for the first element, 4 choices for the second element, 3 choices for the third element, and 2 choices for the fourth element. So the total number of possible functions is 5 x 4 x 3 x 2 = 120.

5. Set with five elements: In this case, there is only one possible function since there are five elements in both the domain and the range, and every element in the domain must be mapped to a unique element in the range.

In summary, the number of one-to-one functions from a set with five elements to sets with one, two, three, four, and five elements are 1, 20, 60, 120, and 1, respectively.

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Calculating the circumference of a circle based on the circle's diameter.

What kind of problems can a quantum computer solve?

10 Difficult Problems Quantum Computers can Solve Easily-

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The complete question is -

Which type of mathematical problem is too complex for a classical computer to solve efficiently?

a. converting an irregular fraction to an approximate decimal value

b. multiplying two numbers that both have a large number of digits

c. finding two prime factors that result in a specific value when multiplied

d. calculating the circumference of a circle based on the circle's diameter

In conclusion, 9 blarsfs and 6 crobs on Shm'lort correspond to approximately 200 seconds in Earth time.

Let's start by finding the conversion rates between Shm'lort time and Earth time. From the given information, we know that 3 blarsfs and 18 crobs correspond to 1 minute on Shm'lort. This means that 1 blarsf is equivalent to 20 seconds (60 seconds / 3 blarsfs) and 1 crob is equivalent to 3.33 seconds (60 seconds / 18 crobs).

Next, we can use the conversion rates to calculate the Earth time for 9 blarsfs and 6 crobs:

9 blarsfs = 9 blarsfs * 20 seconds/blarsf = 180 seconds

6 crobs = 6 crobs * 3.33 seconds/crob = 19.98 seconds (approximately 20 seconds)

Therefore, the total Earth time elapsed for 9 blarsfs and 6 crobs on Shm'lort is 180 seconds (blarsfs) + 20 seconds (crobs) = 200 seconds.

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Answer: 70%

Step-by-step explanation:

obviously 7/10 gives you 70%

Answer:

70%

Step-by-step explanation:

If 3 of the pins were knocked down, that means 7 pins were still standing.

Next, to find what percent 7 is of 10, divide 10 by 100 to get 0.1.

0.1 is 1% of 10, so we need to divide 7 by 0.1 to find the percentage, which is 70.

The function that best models the data is f(x) = 5(1.6)^x.

To determine the best model for the given data, we need to look at the base of the exponential function (b). This base indicates the growth factor from one data point to the next. Since the data is increasing, we can rule out the functions with a base less than 1 (A and B). Now we can compare the remaining options (C and D) by observing the growth factor in the data:

From 5.0 to 7.9, the growth factor is approximately 7.9 / 5.0 ≈ 1.58.
From 7.9 to 12.8, the growth factor is approximately 12.8 / 7.9 ≈ 1.62.
From 12.8 to 20.5, the growth factor is approximately 20.5 / 12.8 ≈ 1.60.

The average growth factor is around 1.6, which corresponds to the base in option C.

Based on the analysis of the growth factor, the function f(x) = 5(1.6)^x best models the data in the table.

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There are 30 cubic feet of water in the pipe at time t = 0. 76.570 cubic feet of rainwater flow into the pipe during the 8-hour time interval 0 ≤ t ≤ 8.

\(\int\limits^8_0\)   [R(t) dt = \(\int\limits^8_0\) 20 sin \(\frac{t^2}{35}\) dt = 76.570

What Is Time Interval?

The amount of time between two given times is known as time interval. In other words, it is the amount of time that has passed between the beginning and end of the event. It is also known as elapsed time.

INTERVAL types are divided into two classes: year-month intervals and day-time intervals. A year-month interval can represent a span of years and months, and a day-time interval can represent a span of days, hours, minutes, seconds, and fractions of a second.

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Let us begin by defining arc measure

Arc measure is a degree measurement, equal to the central angle that forms the intercepted arc.

From the given diagram, we can determine that:

measure of arc DC = 100 degrees

Answer: 100 degrees

Vernon put 16 liters of gas in his tank. 21 miles per gallons of gas are consumed each mile that is driven.

Given that,

Vernon put 16 liters of gas in his tank.

The table depicts the linear relationship between the mileage driven and the amount of gas in his tank.

We have to find how many gallons of gas are consumed each mile that is driven.

From the table we can say

The total Distance is 336

The total gallons of gas is 16

Rate= Total distance/Total gallons

Rate=336/16

Rate=21 miles per gallons

Therefore, 21 miles per gallons of gas are consumed each mile that is driven.

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Answer:

y = 2x + 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

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

with (x₁, y₁ ) = A (1, 7 ) and (x₂, y₂ ) = B (- 3, - 1 )

m = \(\frac{-1-7}{-3-1}\) = \(\frac{-8}{-4}\) = 2 , then

y = 2x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (1, 7 )

7 = 2(1) + c = 2 + c ( subtract 2 from both sides )

5 = c

y = 2x + 5 ← equation of line

The equation of a line y=2x+8.

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in the value of y on the vertical axis/change in the value of x on the horizontal axis

Looking at the given line,

y = 2x + 7

Compared with the slope-intercept equation,

Slope, m = 2

If a line is parallel to another line, it means that both lines have equal or the same slope. This means that the slope of the line passing through the point (-2, 4) is 2

Substituting m= 2, y = 4 and x = -2 into the equation, y = mx + c , it becomes

4 = 2 × - 2 + c

4 = - 4 + c

c = 4 + 4 = 8

The equation becomes y=2x+8.

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Answer:

C. I and III

Step-by-step explanation:

3(2x+8) = 6x + 24

Answer:

C

Step-by-step explanation:

Option 2 is 4(2x + 6) which is also equal to:

\(8x + 24\)

Distribute the 4 with the 2x + 6.

Option 3 is 3(2x+8) which is also equal to:

\(6x + 24\)

Distribute the 3 with the 2x + 8.

So, option 3 and option 1 are equivalent to each other.

Answer:

all answers on the graph will be 4 times that amount

Step-by-step explanation:

rise over run

basically if y is 1 and its of a slope of 1/4 then youd multiply it by 4. 2/8 3/12

as well as it will always be a positive slope :)

Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

A  comparative design is a type of group design in which the species of animals within the study constitutes one of the independent variables.

A group of animals, plants, or other living things that all have similar traits and are categorized as one species are considered to be living organisms. All humans are one species, for instance.

It is essential for both biologists and the general public to comprehend what species are and how to recognize them. As species disappear, biological variety is lost, and the only way to influence the social, political, and economic factors that influence conservation efforts is to understand the nature of species.

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Answer:

The cost of orange juice is $3 per jug

Step-by-step explanation:

A unit rate is a rate where the second quantity is one unit.

Answer:

It can be like, you walked 3.1415925 miles

so you can say, you walked 3.1416 miles (approx.)

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

2x - 3y = -4

-6x + 9y = 12

Try and solve these by elimination:

Multiply the first equation by 3:

6x - 9y = -12

Now if we add this to the second equation we eliminate y, so adding:

0  = 0

- we have eliminated  everything!

This means that the 2 equations are equal and there are infinite solutions.

The given initial value problem is a second-order linear homogeneous differential equation. To solve it, we first find the characteristic equation by substituting y = e^(rx) into the equation. This leads to the characteristic equation r^2 - 10r + 50 = 0.

The general solution of the differential equation is y(x) = e^(5x)(C₁cos(5x) + C₂sin(5x)), where C₁ and C₂ are constants determined by the initial conditions.

To determine the particular solution, we differentiate y(x) to find y'(x) = e^(5x)(5C₁cos(5x) + 5C₂sin(5x) - C₂cos(5x) + C₁sin(5x)), and then differentiate y'(x) to find y''(x) = e^(5x)(-20C₁sin(5x) - 20C₂cos(5x) - 10C₂cos(5x) + 10C₁sin(5x)).

Substituting the initial conditions y(0) = 1 and y'(0) = 5 into the general solution and its derivative, we obtain the following equations:

1 = C₁,

5 = 5C₁ - C₂.

Solving these equations, we find C₁ = 1 and C₂ = 4.

Therefore, the particular solution to the initial value problem is y(x) = e^(5x)(cos(5x) + 4sin(5x)).

To find the value of y when x = 1.52, we substitute x = 1.52 into the particular solution and evaluate it. The result will depend on the rounding instructions provided.

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Step-by-step explanation:

\(2 \frac{1}{3} crosswords= \frac{2}{5} hours\)

\((2\frac{1}{3} ) \div 2 = \frac{1}{5} \)

\(1 \frac{1}{6} = \frac{1}{5} \)

\( \frac{1}{5} \times 5 = 1 \: hour\)

therefore;

\(1 \frac{1}{6} \times 5 = 1 \: hour\(

which equals to 5 and 5 sixth crosswords per hour

Hayley will travel from Telford Central to Shrewsbury in 0 hours and 21 minutes if she takes the quickest route.

Based on the timetable provided, the fastest option for Hayley to get from Telford Central to Shrewsbury is by taking the 0915 train from Wellington to Shrewsbury, which arrives at 0920. Therefore, the total time it will take her is 21 minutes (from 0805 departure of Wellington to 0920 arrival in Shrewsbury).

To convert 21 minutes to hours and minutes, divide 21 by 60 to get the decimal value of 0.35 hours. Then convert the decimal value to minutes by multiplying it by 60, which gives:

0.35 hours × 60 = 21 minutes

So, it will take Hayley 0 hours and 21 minutes to get from Telford Central to Shrewsbury taking the fastest option.

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Answer:

  14 square units

Step-by-step explanation:

You want the area of the triangle whose vertices are the points A(-11, 4), B(-7, 8), C(-4, 4).

The area of a triangle is given by the formula ...

  A = 1/2bh

where b is the base of the triangle, and h is the height, the1 perpendicular distance to the opposite vertex.

The diagram shows one side is the horizontal line AC. The length of that is the difference of the x-coordinates of the end points:

  b = -4 -(-11) = 7

The opposite vertex, B, has a y-coordinate of 8, so the height of the triangle is ...

  h = 8 -4 = 4

We now have the information we need to use the area formula:

  A = 1/2(7)(4) = 14 . . . . square units

The area of ∆ABC is 14 square units.

__

Additional comment

You can use the diagram and count grid squares to find the dimensions of the triangle.

We can rewrite the quadratic to get the equivalent expression:

3*(x - 4)*(x + 2/3)

We want to find an expression equivalent to the quadratic equation:

3x^2 -10x -8

Remember that if the quadratic equation has the roots a and b, then we can rewrite the equation as:

3*(x - a)*(x - b)

So let's find the roots, using the quadratic formula we will get:

\(x = \frac{10 \pm \sqrt{(-10)^2 - 4*3*(-8)} }{2*3} \\\\x = \frac{10 \pm 14 }{6}\)

So the two roots are:

x = (10 + 14)/6 = 4

x = (10 - 4)/6 = -4/6 = -2/3

Then the equivalent expression is:

3*(x - 4)*(x + 2/3)

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