13PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST ALL FAKE ANSWERS WILL BE REPORTED AND PLS PLS PLS EXPLAIN THE ANSWER OR HOW U GOT IT PLEASE AND TY​

13PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST ALL FAKE ANSWERS WILL BE REPORTED AND PLS PLS

Answers

Answer 1

The approximate shortest distance, to the art hundredth of a foot, between first and third base is 127.28 feet.

What is distance?

Distance refers to the amount of space between two objects or points. It can be measured in units such as meters, kilometers, miles, or feet, and is commonly used to describe the length or extent of a journey, path, or separation.

According to the given information:

The distance between first and third base in a baseball diamond is the diagonal of the square with side lengths of 90 feet. Using the Pythagorean theorem, we can calculate this distance as follows:

d² = 90² + 90²

d²= 8,100 + 8,100

d²  = 16,200

d = √(16,200)

d ≈ 127.28 feet

Therefore, the approximate shortest distance, to the nearest hundredth of a foot, between first and third base is 127.28 feet. The correct answer is option (b).

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Related Questions

Luby's MIS algorithm is likely to finish in O(log n) parallel steps, where n is the number of vertices.true or False

Answers

The statement "Luby's MIS algorithm is likely to finish in O(log n) parallel steps, where n is the number of vertices." is true because a vertex selecting each group is equal.

An independent set in a graph is a set of vertices that do not share any edges.

The algorithm starts by having each vertex randomly assign itself to one of two groups. The processors then communicate with each other to identify vertices that belong to a group with no neighbors in the same group. These vertices are then marked as part of the MIS.

In each round of communication, the number of vertices in the MIS doubles. This means that the algorithm will converge in O(log n) parallel steps, where n is the number of vertices in the graph.

The complexity of the algorithm is therefore very efficient, and it can handle large graphs with many vertices.

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solve the following inequality for b 5b - 3 > 8b +4 write your answer in the simplest form

Answers

Answer:

b < [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

5b - 3 > 9b + 4

-4b - 3 > 4

-4b > 7

b < [tex]\frac{7}{4}[/tex]

So, the answer is b < [tex]\frac{7}{4}[/tex]

What is the equation of the line that is perpendicular to the given line and passes through the point (2, -2) and is perpendicular to the line represented by y=2/5x+2?

Answers

The equation of line passes through the point (2, -2) and is perpendicular to the line represented by y=2/5x+2 is y = -5x/2+3

Given that a line is passing through the point (2, -2) and is perpendicular to the line y = 2x/5+2, we need to find the equation of the line,

The equation of line is, y = mx + c, where m is the slope,

So, we know that the slopes of the perpendicular lines are negative reciprocal of each other,

So, the slope of the required line is -5/2.

Therefore, the equation will be

y = -5x/2 +c

To find c put x = 2, y = -2

-2 = -5(2)/2 + c

-2 = -5 + c

c =3

Hence, the equation is, y = -5x/2+3

Therefore, the equation of line passes through the point (2, -2) and is perpendicular to the line represented by y=2/5x+2 is y = -5x/2+3

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HELP PLEASE !!!!!
Subtract.
(9w² + 3w) - (6w² + w)

Answers

Answer:

3w²+2w

Step-by-step explanation:

(9w² +3w)-(6w²+w)

=9w²+3w-6w²-w

collecting like terms

=9w²-6w²+3w-w

=3w²+2w

=w(2+3w)

4) Hansen attaches his A+ test to the refrigerator with a circular magnet. Out of curiosity,
he measures the magnet and calculates that it has a diameter of 2 inches. What is the
magnet's area?
() Use 3.14 for л. If necessary, round your answer to the nearest hundredth.
square inches
Submit

Answers

The magnet's area is approximately 3.14 square inches.

What is circle?

Every point in a horizontal surface that is a certain distance above another point forms a circle (center).

The area of a circle is given by the formula:

[tex]A = \pi r^2[/tex]

where π is approximately equal to 3.14 and r is the radius of the circle. Since the diameter of the magnet is given as 2 inches, the radius is half of that, or 1 inch.

Plugging this value into the formula, we get:

[tex]A = 3.14 * 1^2[/tex]

A = 3.14 square inches

Therefore, the magnet's area is approximately 3.14 square inches.

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A 4-cup bottle of soda costs $6.80. What is the price per pint?

Answers

Answer: $0.85

:)

hope this hellps

Answer:

$3.40 per pint

Step-by-step explanation:

4 cups is equal to 2 pints, as there are 4 cups in 2 pints.

So let's set up an equation:

6.80/2

3.40

191 cm
191 cm

162 cm
162 cm

170 cm
170 cm

152 cm
152 cm

192 cm
192 cm

168 cm
168 cm

201 cm
201 cm

205 cm
205 cm

190 cm
190 cm

161 cm
161 cm

193 cm
193 cm

195 cm
195 cm

177 cm
177 cm

Answers

Answer:

152 cm, 161 cm, and 162 cm

what type of data pattern or patterns do you see most prominently in the time series plot of marriages? select all that apply. group of answer choices seasonal horizontal/stationary trend downward trend upward

Answers

The specific patterns that are most prominent would depend on the data and the time period being analyzed.

The time series plot of marriages shows a clear seasonal pattern, with peaks occurring in the summer months and troughs in the winter months.

However, there does not seem to be a significant horizontal or stationary trend, as the overall level of marriages appears to fluctuate around a relatively stable mean. Additionally, there is no clear upward or downward trend over time, as the number of marriages appears to remain relatively stable despite some fluctuations. Overall, the most prominent pattern in the time series plot of marriages is the seasonal pattern, with little evidence of other types of patterns.

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DUE FRIDAY PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!!

Answers

The measure of the angle LAF is 4°

Explain the term angle

An angle is a geometric figure formed by two rays that share a common endpoint called a vertex. The rays are usually referred to as the sides of the angle. Angles are measured in degrees or radians and are used in various fields, including mathematics, physics, and engineering, to describe and calculate shapes and movements.

According to the given information

Here we have:

mYL + mSF = 360°

We also know that mYS = 48 degrees and mLF = 160 degrees. Since arc YS and arc LF are on the same circle, they must add up to 360 degrees. Therefore:

mYS + mLF + mYSF = 360°

Substituting the given values, we have:

48 + 160 + mYSF = 360°

Simplifying and solving for mYSF, we get:

mYSF = 152°

Now we can find the measure of the central angle LSF that intercepts arc LF by subtracting mYSF from the measure of the arc LF:

mLF - mYSF = 160 - 152 = 8°

Finally, we can find the measure of angle LAF by dividing the central angle LSF in half, since angle LAF is an inscribed angle that intercepts arc LF:

mLAF = 1/2 * mLSF = 1/2 * 8 = 4°

Therefore, m/LAF = 4 °

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You invest $1000 in a certificate of deposit (CD) that earns 5% interest every year. If the function that represents growth of your money is f(x)=1.05x, in what year will your CD be at least worth $1,300

Answers

Answer: Year 6

Step-by-step explanation: The year my money would be at least $1300 is year 6.

In what year would the money be at least $1300?

The formula that can be used to determine the number of years that $100 would have a value of $1300 is:

Number of years =  In(FV / PV) / r

Where:

FV = future value

PV = present value

r = interest rate

In(1300 / 1000) / 0.05

0.2623642645 / 0.05

= 5.2 years

Future value in 5 years = $1000(1.05^5) = $1276.28

Future value in 6 years = $1000(1.05^6) = $1340.10

A pair of fair dice is rolled. What is the probability that the number landing uppermost on the first die is a 6 if it is known that the sum of the numbers landing uppermost is 7?

Answers

The probability that the landing uppermost of the first die is 6 given the conditions as required is; 1/36.

What is the probability given the requirements as stated?

It follows from the task content that; the probability that the number landing uppermost on the first die is a 6 if it is known that the sum of the numbers landing uppermost is 7 is to be determined.

This implies that the first die gives 6 and the second die gives 1 so that the required probability is;

P = (1/6) × (1/6)

P = 1 / 36.

Ultimately, the required probability as described is; 1/36.

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what are the best displays for bivariate categorical data

Answers

The best displays for bivariate categorical data depend on the nature of the data and the research question. Here are a few common types of displays for bivariate categorical data:

Clustered Bar Charts: This display shows the frequency of each category of two variables side-by-side.

Stacked Bar Charts: This display shows the frequency of each category of two variables stacked on top of each other.

Mosaic Plots: This display shows the relative proportion of each combination of two categorical variables by area.

Heat Maps: This display is a two-dimensional table that is color-coded to show the relationship between two categorical variables.

Tree Maps: This display shows the proportion of each category of two variables by area.

The choice of display should be guided by the nature of the data and the research question being addressed.

~~~Harsha~~~

I would imagine that X is a portion of the entire arc measure of the circle, which would be 360°, but the problem is that 360-270 does not equal any of the answer choices.
For 100 points, is anyone able to help me with this math problem?
If it's any help, this is geometry.

Answers

The value of x is 72°

What is an arc?

An arc is any smooth curve joining two points. The length of an arc is known as its arc length.

A sector is the area bounded by two radii and an arc.

The measure of an arc is defined to be equal to the central angle of its sector.

Since the angle of the sector formed is 72° and it has been stated that the measure of an arc is defined to be equal the central angle of its sector, then we can say that the value of arc x is 72°.

Therefore the value of x is 72°.

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find the mean

99, 66, 94, 100, 54, 57, 74, 91

Answers

To find the mean, you add up all the numbers and then divide by the total number of numbers:

(99 + 66 + 94 + 100 + 54 + 57 + 74 + 91) / 8 = 731 / 8 = 91.375

So the mean is 91.375.

~~~Harsha~~~

At 2:48 what is the degree measure of the smaller angle formed by the hour and minute hands of a 12-hour clock? - Please help, I have 10 minutes

Answers

The degree measure of the smaller angle formed by the hour and minute hands of a 12-hour clock at 2:48 is 85 degrees.

The hour hand is between the 2 and the 3, and since it's 2:48, it's closer to the 3. To be more precise, it's at 2.8 on the clock face .

The minute hand is pointing at the 8, as it's 48 minutes past the hour.

To find the angle between the hands, we need to find the difference between their positions and multiply it by 30 .

So the angle formed by the hour and minute hands at 2:48 is:

| 30 × (2.8/12 - 8) | = | -85 | = 85 degrees.

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Chipwich Summer Camp surveyed 100 campers to determine which lake activity was their favorite. The results are given in the table.


Lake Activity Number of Campers
Kayaking 15
Wakeboarding 11
Windsurfing 7
Waterskiing 13
Paddleboarding 54


If a circle graph was constructed from the results, which lake activity has a central angle of 54°?
Kayaking
Wakeboarding
Waterskiing
Paddleboarding

Question 12

A recent conference had 750 people in attendance. In one exhibit room of 70 people, there were 18 teachers and 52 principals. What prediction can you make about the number of principals in attendance at the conference?

There were about 193 principals in attendance.
There were about 260 principals in attendance.
There were about 557 principals in attendance.
There were about 680 principals in attendance.

Answers

The activity with a central angle of 54° is Kayaking and there were about 557 principals in attendance based on the prediction

The activity with a central angle of 54°

The formula to calculate the central angle for an activity is:

central angle = (number of campers for the activity / total number of campers) x 360°

Using this formula, we can calculate the central angle for each activity:

Kayaking: (15/100) x 360° = 54°

Wakeboarding: (11/100) x 360° = 39.6°

Windsurfing: (7/100) x 360° = 25.2°

Waterskiing: (13/100) x 360° = 46.8°

Paddleboarding: (54/100) x 360° = 194.4°

Therefore, the activity with a central angle of 54° is Kayaking.

Predicting the number of principals in attendance at the conference?

To make a prediction about the number of principals in attendance at the conference, we can assume that the proportion of principals in the exhibit room is similar to the proportion of principals in the whole conference.

In the exhibit room, out of 70 people, 52 were principals.

So, the proportion of principals in the exhibit room was 52/70

We can predict the number of principals in attendance at the conference as follows:

Number of principals = proportion of principals x total number of attendees

If we plug in the values, we get:

number of principals = 52/70 x 750 = 557

So, based on this prediction, we can say that there were 557 principals in attendance at the conference.

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Diversification can reduce portfolio risk even in the case when correlations across stock returns equal zero. (True or False)

Answers

Given statement: Diversification can reduce portfolio risk even when correlations across stock returns equal zero.

Given statement is true.

Because, By diversifying, you spread your investments across various assets, which can help reduce the overall risk of your portfolio. When correlations are zero, it means that the stock returns move independently of each other, further supporting the benefit of diversification in this case.

Diversification can reduce portfolio risk by combining assets with different return patterns, but even when the correlations between the returns are zero, there is still systematic risk (market risk) that cannot be diversified away.

This is because all stocks are subject to macroeconomic factors such as inflation, interest rates, and changes in consumer confidence, which can affect the entire market.

Therefore, even if the correlations across stock returns are zero, diversification cannot completely eliminate portfolio risk.

However, it can still reduce it to a certain extent by spreading the risk across different assets.

The more uncorrelated the assets are in a portfolio, the greater the potential for risk reduction.

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PLEASE HELP! This is due tomorrow and I'm stuck on this question.


Who is correct? Elijah or Emma? Please explain who's correct and how. Thank you.

Answers

Elijah claim is true, the median of the data is likely to be less than or equal to six because most of the team has six or less years of experience.

What is Number line ?

A number line can be defined as a pictorial representation of numbers in a straight line. The numbers  are placed consecutively at the same distance along the number line. It can be infinitely extended  in any direction and is usually presented horizontally.

Based on the information provided, we can conclude that the Boston Celtics roster has players with 2-12 years of experience.

Elijah claim is true, three quarters of the team's total  players  have six or less experience

Since the total number of players in the team is not given, we cannot determine the exact number of players with six  years of experience or less. However, we can say that the median of the data is likely to be less than or equal to six because most of the team has six or less years of experience.

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Which angles in standard position have their terminal side in quadrant II?

Select all that apply.

Answers

Angles in standard position with their terminal side in quadrant II have measures between 90 and 180 degrees.

Therefore, the angles that have their terminal side in quadrant II are

120 degrees

135 degrees

150 degrees

165 degrees

So, all of the above angles apply.

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The population density in orange land is 18 oranges per acre exactly 792 oranges grow in orange land how many acres are there in orange light

Answers

Answer:

44 acres

Step-by-step explanation:

Population density is the number of individuals per unit area. It is a useful concept to measure how crowded or sparse a region is. For example, if we want to compare the population density of different countries, we can divide the total population by the total land area. This will give us the number of people per square kilometer or square mile.

In this case, the population density of oranges is 18 oranges per acre. This means that on average, there are 18 oranges in every acre of land that grows oranges. This can help us estimate how much land is needed to produce a certain amount of oranges. For example, if we want to know how many acres of land can produce 1000 oranges, we can divide 1000 by 18 and get 55.56 acres.

To find the area of orange land, we need to divide the total number of oranges by the population density. This will give us the number of acres that can fit 792 oranges. The formula is:

Area = Number of oranges / Population density

Plugging in the given values, we get:

Area = 792 / 18

Simplifying, we get:

Area = 44

Therefore, there are 44 acres in orange land. This means that if we have 792 oranges, we can distribute them evenly in 44 acres of land and have 18 oranges per acre.

there are 18 major sea islands in the queen elizabeth islands of canada. there are 15 major lakes in saskatchewan, canada. (a) if you are planning a trip to visit one of these islands, followed by one of these lakes, how many different trips could you make? (b) if you plan to visit either one of these lakes or one of these islands, how many different visits could you make?

Answers

(a) Total number of trips = 270

(b) There are 33 different visits that could make.

We have the information:

There are 18 major sea islands in the queen Elizabeth islands of Canada. There are 15 major lakes in Saskatchewan, Canada.

Let us say that A indicates the major sea Islands and B indicates the major lakes.

Taking both the cases as events, we will use multiplication principle.

Based on the information, the event A occurs in m ways and the event B will occur in n ways. So, the two events will occur in m×n ways.

(a) A × B = 18 × 15

Total number of trips = 270

(b) |A| = 18

|B| = 15

A ∩B = θ         (as we cannot visit both an island and lake)

Addition Principle: There are |A| + |B| ways to choose an element form

A ∪ B , when A and B are the finite sets with A ∩B = θ

|A ∪ B| = |A| + |B| = 18 + 15 = 33

Thus, There are 33 different visits that could make.

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9) For each right triangle, find the length of the side that is not given:

Answers

Answer:

A) 11.66190379

B) 9.74679

C)10.24695

D)6.32455532

Step-by-step explanation:

All of these are done by using the equation A^2 + B^2 = C^2, C being the long side and a and b being the short side.

pls hlp thx so much !!!!!!!!!!!!!!

Answers

On solving the provided question, we can say that

the measurement of angle B is 40 degrees.

What is equation?

A mathematical equation is a formula that connects two statements and denotes equivalence with the equals symbol (=). An equation is a mathematical statement that shows the equality of two mathematical expressions in algebra. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14.

A mathematical formula describes the connection between the two sentences that occur on opposite sides of a letter. The symbol and the single variable are frequently the same. As in 2x - 4 equals 2, for instance.

Supplementary angles add up to 180 degrees. Therefore, we can write the equation:

A + B = 180

Substituting the given expressions for A and B, we get:

(4x - 16) + (x + 1) = 180

Simplifying the left side, we get:

5x - 15 = 180

Adding 15 to both sides, we get:

5x = 195

Dividing both sides by 5, we get:

x = 39

Therefore, the measurement of angle B is:

B = x + 1 = 39 + 1 = 40 degrees.

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the purse shown is a trapezoidal prism. the front face of the purse has a stripe. of the stripe is the midsegment of the front face, how long is the stripe

Answers

Answer:

(1/2)(7 + 12) = 19/2 = 9.5 inches

The requried measure of the middle strip of the trapezoidal prism is 9.5 inches.

What is simplification?

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Here,
The purse shown is a trapezoidal prism. the front face of the purse has a stripe.

The measure of the mid stripe is given by,
= 1 / 2[ sum of lower and upper strip]
= (1/2)(7 + 12)
= 19/2
= 9.5 inches

Thus, the requried measure of the middle strip of the trapezoidal prism is 9.5 inches.

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It is recommended that a ramp have at least 5 feet of horizontal distance for every 1 foot of horizontal rise along an incline. The ramp shown has a vertical rise of 3 feet. Does the ramp shown match the recommended​ specifications? Explain.

Answers

Yes ,inclination in between 4in / 15 in < 4in / 18 in

What is incline?

An inclined plane, also known as a ramp, is a flat supporting surface that is tilted at an angle from the vertical direction with one end higher than the other. It can be used to lift or lower a load.

What is horizontal and vertical?

The horizontal line in coordinate geometry is the line perpendicular to the x-axis, and the vertical line is the line perpendicular to the y-axis. Horizontal lines and vertical lines will be parallel to the x-axis and the y-axis, respectively. As a result, lines that share at least one point are perpendicular to one another when they are drawn.

6 feet of horizontal distance for every 1 foot,

ramp shown has a vertical rise of 5 feet.

Therefore

M ≤ 1foot / 6 feet

Converting both to a single units of ( inches )

M ≤ 12 inches / 72 inches

Dividing by 4

M ≤ 4 inches / 18 inches

Where 5 feet = 60 inches

12 inches / 60 inches

= 4 inches / 15 inches

Therefore:

4in / 15 in < 4inch / 18 inch

The condition states the ramp has to be at least 6feet, what this means is it has to be between 0-6 so since it is lesser. Yes it meets the recommendations.

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Yes, inclination in between 4in / 15 in < 4in / 18 in

What is incline?

A flat supporting surface that is inclined at an angle from the vertical direction with one end higher than the other is referred to as an inclined plane or a ramp. A load may be raised or lowered using it.

What is horizontal and vertical?

In coordinate geometry, the horizontal line is the line parallel to the x-axis, while the vertical line is the line parallel to the y-axis. Vertical and horizontal lines will be perpendicular to the x- and y-axes, respectively. As a result, when lines are drawn, they are perpendicular to one another if they share at least one point.

6 feet of horizontal distance for every 1 foot,

ramp shown has a vertical rise of 5 feet.

Therefore

M ≤ 1foot / 6 feet

Converting both to a single units of ( inches )

M ≤ 12 inches / 72 inches

Dividing by 4

M ≤ 4 inches / 18 inches

Where 5 feet = 60 inches

12 inches / 60 inches

= 4 inches / 15 inches

Therefore:

4in / 15 in < 4inch / 18 inch

The condition states the ramp has to be at least 6 feet, what this means is it has to be between 0-6 so since it is lesser. Yes it meets the recommendations.

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A contractor is building a set of stairs out of concrete. Each stair is exactly the same length, width, and height.
(a) Which solid figures can the stairs be broken into? What are the dimensions of each solid figure?

(b) How much concrete will be needed to form the stairs?

Answers

a. The stairs can be broken into a cuboid, the dimensions of the cuboid are 2.4 x 0.6 x 0.4

b. The amount of concrete needed will be 3.456 cubic units.

How to find the amount of concrete required for the stairs

The amount of concrete required is solved by solving for the voulme of a cuboid and multiplying by the number of cuboids used

The dimension of each of the cuboid is 2.4 x 0.6 x 0.4

To find the volume of the cuboid, we simply multiply the dimensions together. Therefore:

2.4 x 0.6 x 0.4 = 0.576 cubic units

Therefore, the volume of the each cuboid is 0.576 cubic units.

the number of cuboids used is 6, hence we have

= 6 x 0.576 cubic units.

= 3.456 cubic units.

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Answer: your in my class I’m not a snitch though

Step-by-step explanation:

1) Consider the quadratic function: f (x) = (x + 3)2 – 2 and a function, g(x), which is created by translating
f (x) three units to the right, two units up, and reflected vertically over the x-axis. Complete the following tasks:
a) 15 points: Graph f (x) on the axes below and label it. Graph g(x) on the axes below and label it.
b) 10 points: Write the vertex form equation for g(x) below.

Answers

The graph of both functions are in the image at the end, and the vertex of g(x) are (0, 0).

How to graph the function g(x)?

Here we know that the function f(x) is:

f(x)= (x + 3)² - 2

And g(x) is a translation of 3 units to the right, 2 units up, and reflected over the x-axis, then we have:

g(x) = -[ f(x - 3) + 2]

Replacing f(x) we get:

g(x) = -[ (x + 3 - 3)²  -2 + 2]

g(x) = -x²

The graphs of both functions are the ones in the image at the end, there we can see that the vertex of g(x) is (0, 0).

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Write an explicit formula for an, the nth term of the sequence 14, 16, 18,

Answers

The explicit formula for the nth term of the sequence 14, 16, 18, ... is an = 2n + 12.

Define sequence

In mathematics, a sequence is an ordered list of elements that follow a specific pattern or rule. The elements can be numbers, letters, or other objects. Each element in the sequence is called a term, and the position of a term in the sequence is determined by its index or subscript.

The given sequence is an arithmetic sequence with a common difference of 2.

The first term (a₁) is 14.

The nth term of an arithmetic sequence can be found using the formula:

aₙ = a₁ + (n - 1)d

where d is the common difference.

Substituting the given values, we get:

aₙ = 14 + (n - 1)2

Simplifying, we get:

aₙ = 2n + 12

Therefore, the explicit formula for the nth term of the sequence 14, 16, 18, ... is an = 2n + 12.

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how many functions are there from the set {1, 2,...,n}, where n is a positive integer, to the set {0, 1} a) that are one-to-one? b) that assign 0 to both 1 and n? c) that assign 1 to exactly one of the positive integers less than n?

Answers

Answer: a) To count the number of one-to-one functions from the set {1, 2,...,n} to the set {0, 1}, we can use the formula for the number of permutations of n distinct objects, which is n!.

However, since we are only considering one-to-one functions, we can only choose 0 or 1 for the image of each element of the domain. The first element can be assigned 2 choices, the second can be assigned 1 of the remaining 2 choices, the third can be assigned 1 of the remaining 1 choice, and so on. Therefore, the number of one-to-one functions from {1, 2,...,n} to {0, 1} is:

2 × 1 × 1 × ... × 1 = 2^(n-1)

b) To count the number of functions that assign 0 to both 1 and n, we can treat the remaining elements {2, 3,...,n-1} as a new set and count the number of functions from this set to {0, 1}. This is the same problem as in part (a), but with n-2 elements instead of n. Therefore, the number of functions from {1, 2,...,n} to {0, 1} that assign 0 to both 1 and n is:

2^(n-3)

c) To count the number of functions that assign 1 to exactly one of the positive integers less than n, we can choose which element of the domain is assigned 1 in n ways. The remaining elements can be assigned 0 or 1 independently, for a total of 2^(n-1) choices. Therefore, the number of functions from {1, 2,...,n} to {0, 1} that assign 1 to exactly one of the positive integers less than n is:

n × 2^(n-1)

Step-by-step explanation:

Nicole took out a 30-year mortgage for $90,000 at 7.5%. How much is her monthly mortgage payment?

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Answer:

Nicole pays 629 dollars per month.

Step-by-step explanation:

I think Nicole pays $629.29 per month

Step-by-step explanation:

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