g(x)=(x-1)
Using transformation table graph each function

Let S = N, and let R be the relation of divisibility, l.To prove that the relation of divisibility is a partial order, we need to show that it satisfies the three conditions of a partial order: reflexivity, antisymmetry, and transitivity.

Reflexivity: For any natural number n, n is divisible by itself (n l n), so the relation is reflexive.

Antisymmetry: Suppose m l n and n l m for natural numbers m and n. Then we have m = kn and n = lm for some natural number k and l. It follows that m = klm and n = kln. Since k, l, and m are all natural numbers, we have klm l kln, which implies that lm l ln. But since m and n are positive integers, we must have m = n. Therefore, the relation is antisymmetric.

Transitivity: Suppose m l n and n l p for natural numbers m, n, and p. Then we have n = km and p = ln for some natural number k. It follows that p = lkm, which implies that m l p. Therefore, the relation is transitive.

Since the relation of divisibility satisfies all three conditions of a partial order, it is a partial order.

b. Let T be any set. Let S = 2^T, the power set of T. Let R be the relation of subset, ⊆.

To prove that the relation of subset is a partial order, we need to show that it satisfies the three conditions of a partial order: reflexivity, antisymmetry, and transitivity.

Reflexivity: For any set A, A is a subset of itself (A ⊆ A), so the relation is reflexive.

Antisymmetry: Suppose A ⊆ B and B ⊆ A for sets A and B. Then we have x ∈ A implies x ∈ B and x ∈ B implies x ∈ A, which implies that A = B. Therefore, the relation is antisymmetric.

Transitivity: Suppose A ⊆ B and B ⊆ C for sets A, B, and C. Then we have x ∈ A implies x ∈ B and x ∈ B implies x ∈ C, which implies that x ∈ A implies x ∈ C. Therefore, A ⊆ C, and the relation is transitive.

Since the relation of subset satisfies all three conditions of a partial order, it is a partial order.

c. Let A be any alphabet, a set totally ordered by some relation <. Let S be the set of finite words whose letters are drawn from A. Let R be the dictionary order on S, defined as follows. Let i be the smallest integer where the ith letter of the two words differ. The word whose ith letter is smaller in < (or that doesn't have an ith letter) is smaller in R.

To prove that the dictionary order is a partial order, we need to show that it satisfies the three conditions of a partial order: reflexivity, antisymmetry, and transitivity.

Reflexivity: For any word w in S, w is equal to itself, and so it is equal to w in the dictionary order. Therefore, the relation is reflexive.

Antisymmetry: Suppose wRv and vRw for words w and v. Then there must exist some i where the ith letter of the two words differ. Let x be the ith letter of w and let y be the ith letter of v. Since A is totally ordered by <, we must have either x < y or y < x. Without loss of generality, assume that x < y. Then w < v in the dictionary order, which contradicts vRw. Therefore,

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Answer:

The value of 2n - 2 is 4.

Step-by-step explanation:

Given the equation

\(n + 7 = 10\)

Subtract  7 from both sides of the equation

\(n+7-7=10-7\)

Simplify

\(n=3\)

Now substituting n = 3 in the equation

2n - 2 = 2(3) - 2

          = 6 - 2

          = 4

Therefore, the value of 2n - 2 is 4.

Given

Value of Boat = $23,000

Rate = 18% per year

Time = 5 years

y = 23000(1-18/100)⁵

= 23000(82/100)⁵

So y = 23000 (0.82)

x = 5

Answered by Gauthmath must click thanks and mark brainliest

Answer:

Put it in math-way and please write the expression so I can solve it

Step-by-step explanation:

The value of x is obtained as follows:

128º.

The measure of angle A is given as follows:

m < A = 132º.

For a parallelogram, the opposite angles are congruent, meaning that they have the same measure, hence the value of x is obtained as follows:

5x - 508 = x + 4.

4x = 512

x = 512/4

x = 128.

Then the measure of angle A is given as follows:

m < A = 5(128) - 508

m < A = 132º.

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Answer:

34 pounds

Step-by-step explanation:

51 pounds of plum = 27 quarts

x pounds of plum   = 18 quarts

(cross multiply)

27x = 918

divide both sides by 27

x=34 pounds

To determine if the observed data supports the geneticist's claim, we should use the Chi-square test for goodness of fit. .

This test will help we compare the observed frequencies of the four species in your sample with the expected frequencies based on the ratio 1:3:3:9.

1. Calculate the expected frequencies based on the ratio 1:3:3:9.
  Total ratio = 1+3+3+9 = 16
  Expected frequency of Species 1 = (1/16) * 4000 = 250
  Expected frequency of Species 2 = (3/16) * 4000 = 750
  Expected frequency of Species 3 = (3/16) * 4000 = 750
  Expected frequency of Species 4 = (9/16) * 4000 = 2250
2. Compute the Chi-square statistic using the formula:
  χ² = Σ [(Observed - Expected)² / Expected]
  χ² = (226-250)²/250 + (764-750)²/750 + (733-750)²/750 + (2277-2250)²/2250
  χ² = 2.304 + 0.2667 + 0.3067 + 0.3244
  χ² = 3.202
3. Determine the degrees of freedom (df) using the formula:
  df = Number of categories - 1
  df = 4 - 1 = 3
4. Choose a significance level (usually 0.05) and compare the calculated χ² value to the critical value from the Chi-square distribution table.  

5. If the calculated χ² value is less than or equal to the critical value, you cannot reject the null hypothesis, meaning the observed data is consistent with the geneticist's claim.

If the calculated χ² value is greater than the critical value, you can reject the null hypothesis, meaning the observed data does not support the geneticist's claim.

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The average population between year 1 and year 10 is approximately 55,555 people.

To find the average population between year X and year Y, we need to first calculate the total population increase over that time period. We can do this by subtracting the population in year X from the population in year Y.

Population increase = Population in year Y - Population in year X

Once we have the population increase, we can divide it by the number of years between X and Y to get the average annual population increase.

Average annual population increase = Population increase / (Y - X)

Finally, to find the average population between year X and year Y, we need to add the average annual population increase to the population in year X.

Average population = Population in year X + Average annual population increase

For example, if the population of a city is expected to be 100,000 people after 10 years, and we want to find the average population between year 1 and year 10, we would do the following:

Population in year 1 = X = 50,000 (let's say)
Population in year 10 = Y = 100,000
Population increase = 100,000 - 50,000 = 50,000
Number of years between X and Y = 10 - 1 = 9
Average annual population increase = 50,000 / 9 = 5,555.56 (rounded)
Average population = 50,000 + 5,555.56 = 55,555.56 (rounded)

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The average population of the city between the starting year and 10 years later is estimated to be 625,000.

The average population of a city between two specific years, we will need to use the formula for calculating the arithmetic mean.

The sum of all the values divided by the number of values.

We will need to sum up the populations of the city for each year between the two given years and divide the result by the number of years included.
Let us assume that the population of the city in the year we are starting with is "P1" and the population after "n" years is "P2".

Therefore, the average population can be calculated as:
\(Average Population = (P1 + P2) / 2\)
The exact population figures for each year between the two given years, we will have to use an estimated population growth rate to make the calculation.

We can use the formula:
\(P2 = P1 \times (1 + r)^n\)
where "r" is the estimated annual growth rate and "n" is the number of years between the two given years.
Let's assume that the population of the city in the starting year is 500,000 and the estimated population after 10 years is 750,000. Using the formula, we can calculate the estimated annual growth rate as:
\(r = (P2 / P1)^{(1/n)} - 1   = (750,000 / 500,000)^{(1/10)} - 1   = 0.0473 or 4.73\%\)
The estimated annual growth rate, we can calculate the average population between the two given years using the formula:
\(Average Population = (P1 + P2) / 2 = (500,000 + 750,000) / 2 = 625,000\)

It is important to note that this is just an estimate based on the assumed growth rate, and the actual population may vary from this calculation.

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\(Let R be the region bounded by y = x2 + 1 and y = x + 1\)and the problem is to find an integral expression that can be used to find the volume of the solid generated by rotating R about a specific axis, as described in problems 6 through 10.6) The solid is generated by rotating R about the y-axis.

The integral expression that can be used to find the volume of the solid generated by rotating R about the y-axis is as follows:

\(V = ∫[0,1](π(x+1)²-π(x²+1)²)dx7) The solid is generated by rotating R about the x-axis.\)

The integral expression that can be used to find the volume of the solid generated by rotating R about the x-axis is as follows:

\(V = ∫[0,1](π(x²+1)²-π(x+1)²)dx8) The solid is generated by rotating R about x=1.\)

The integral expression that can be used to find the volume of the solid generated by rotating R about x = 1 is as follows:

\(V = ∫[0,1](2π(2-x))(x²+1-x-1)dx9) The solid is generated by rotating R about y=2.\)

The integral expression that can be used to find the volume of the solid generated by rotating R about y = 2 is as follows:

\(V = ∫[1,2](π√(y-1)-π(y-1))dy10) The solid is generated by rotating R about x=−3.\)

The integral expression that can be used to find the volume of the solid generated by rotating R about x = -3 is as follows:

\(V = ∫[-1,-2](π(3+x-√(x²+2x+2))²-π(3+x-x²-1)²)dx\)

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Answer:

the region occupied in a plane is called area

According to the article, one way that the apple iPod and the Nintendo Wii are the same is both were innovative products that disrupted their respective industries

The Apple iPod and the Nintendo Wii are both electronic devices that were popular in the early 2000s. The iPod revolutionized the way people listened to music, while the Wii introduced a new way to play video games using motion controls.

The iPod had a simple and intuitive interface that made it easy to navigate and listen to music, while the Wii was designed to appeal to a broad audience, including casual gamers and families. The article was trying to explain how innovative both products were.

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Answer:

Step-by-step explanation:

I believe youd be using pythagorean theorem here. I hope this helps

The bottom of the ladder from the house is 8.30 feet away.

The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given:

H= 13 feet

P= 10 feet

Using Pythagoras Theorem

B = √ H² - P²

H = √13² - 10²

B= √ 169- 100

B= √69

B= 8.30 feet

Hence, the bottom of the ladder from the house is 8.30 feet away.

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Answer:

120 /4 =30 120 - 30 = 90 The answer is 90$

Step-by-step explanation:

Answer:

C

trust

Step-by-step explanation:

The problem requires calculus to be solved. If the problem seems to require calculus, use a graphical or numerical approach to estimate the solution. The distance traveled is 802 ft.

Given velocity, v(t) = 20 + 3 cos(t), to find the distance traveled in 40 seconds. We have to decide whether the problem can be solved using precalculus or calculus. It can be solved using calculus because the velocity function is given.

Therefore, we use the integration method to find the distance traveled. The formula to calculate distance is the integral of velocity. Therefore, the distance is given as integral of 20 + 3cos(t) from 0 to 40.

The integration of 20 + 3 cos(t) yields 20t + 3 sin(t)

Using this, we calculate the distance as 20(40) + 3 sin(40) - 3sin(0) which is equal to 802.235 feet.

Hence, the answer is approximately 802 ft.

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Answer:

\(f(x) = - 4 {x}^{2} + 9 \\ \\ f( - 3) = - 4 ({ - 3}^{2} ) + 9 \\ = -4 (9) + 9 \\ = - 36 + 9 \\ = - 27\)

I hope I helped you^_^

Answer:

-27

Step-by-step explanation:

to find f(-3) we must substitute x to -3 in the f(x)=  -4x² +9

f(-3) = -4(-3)² +9

f(-3) = -4*9 +9

f(-3) = -36 +9

f(-3) = -27

The mean of the team’s distances is 3.75 miles. The median of the team’s distances is 3.5 miles.

To find the mean of the distances run by the Kennedy High School cross-country running team, we will first add up all the distances and then divide by the number of distances. The distances ran by the Kennedy High School cross-country running team are:

3.5 miles, 2.5 miles, 4 miles, 3.25 miles, 3 miles, 4 miles, and 6 miles adding up these distances, we get:

3.5 + 2.5 + 4 + 3.25 + 3 + 4 + 6 = 26.25

So the sum of the distances is 26.25 miles. Now, to find the mean, we will divide by the number of distances, which is 7. Therefore, the mean of the distances is: Mean = Sum of distances / Number of distances

Mean = 26.25 / 7

Mean = 3.75 miles

To find the median of the distances run by the team, we will first arrange the distances in order from smallest to largest:2.5 miles, 3 miles, 3.25 miles, 3.5 miles, 4 miles, 4 miles, 6 miles

Now, we will find the middle value. Since there are 7 distances, the middle value will be the 4th value. Counting from the left, the 4th value is 3.5 miles. Therefore, the median of the distances ran by the team is 3.5 miles.

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Answer:

Step-by-step explanation:A = 35 given

C = 45 given

B = 180 -35-45= 100 three angles of triangle = 180

Answer:

7 weeks

Step-by-step explanation:

Jasmine=$10

Nat=$11

10+11=$22 each week

135/22=6.14

at least 7 weeks

The answer is unknown number of inches for the long sides is 14.

Let's solve this problem step by step. We know that the short sides of the rectangle are 2 inches. Let's denote the unknown number of inches for the long sides as 'x'. According to the problem, the long sides are three less than this unknown number, so the length of the long sides can be expressed as 'x - 3'.

The area of a rectangle is given by the formula A = length × width. In this case, the area is given as 22 square inches, and the width (short side) is 2 inches. We can now set up the equation:

22 = 2 × (x - 3)

Simplifying the equation, we have:

22 = 2x - 6

Adding 6 to both sides, we get:

28 = 2x

Dividing both sides by 2, we find:

x = 14

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Answer:

I think it is straight forward, u just have to solve the problem

Step-by-step explanation:

so 35 x 586= 20510

3.5 x 5860=20510

36 x 586=21096

70 x 586=41020

Answer:

d. slope= -2 and y-intercept= 5

Step-by-step explanation:

i hope this helps :)

Answer:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Step-by-step explanation:

Answer:

Step-by-step explanation:

its 256in

The respective sides of the two square pyramids are proportionate since they are comparable. Let's use A cm2 to represent the smaller pyramid's surface area.

The square of the ratio of the corresponding side lengths of comparable pyramids is equal to the ratio of their surface areas. As a result, we may construct the equation shown below:

(s_small / s_large) = (A / 2304)²

where the sides of the smaller and larger pyramids, respectively, are represented by the lengths s_small and s_large, respectively.

We are unable to immediately solve for A since we lack the precise side length data. The ratio of the surface areas is still measurable, though:

(s_small / s_large) = (A / 2304)²

Using the information provided, we can determine that the surface area of.

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Answer:

Step-by-step explanation:

think that there are 15 ways ... call the boxes A, B, and C.

You could put all four b***s into either box A, or box B, or box C  --->  3 ways.

You could put three ball into one box and the other ball into another box:

-- 3 into A, 1 into B, 0 into C; or 3 into A, 0 into B, 1 into C; or 1 into A, 3 into B, 0 into C; or 1 into A, 0 into B, 3 into C; or 0 into A, 3 into B, 1 into C; or 0 into A, 1 into B, 3 into C  --->  6 ways

You could put two balls into one box and the other two balls into another box:

-- 2 into A, 2 into B, 0 into C; or 2 into A, 0 into B, 2 into C; or 0 into A, 2 into B, 2 into C  --->  3 ways.

You could put two b***s into one box and one ball into each of the other two boxes:

-- There are three boxes that could get the two b***s  --->   3 ways

Total:  3 + 6 + 3 + 3  =  15 ways.

24,000 ÷ 8,000 this doesn't have the same quotient as 2.4  ÷ 0.08

What is quotient ?

A quotient in mathematics is the amount created when two numbers are divided. The term "quotient" is used frequently in mathematics and is sometimes referred to as a ratio, a fraction, or the integer portion of a division.

The dividend is the number that is being divided (in this case, 15), and the divisor is the number that is being divided (in this case, 3). The quotient is the end result of division.

The quotient of 2.4 ÷ 0.08 is 30

The quotient of 0.24 ÷ 0.008 is 30

∴ the same as  2.4 ÷ 0.08

The quotient of 24 ÷ 0.8  is 30

∴ the same as  2.4 ÷ 0.08

The quotient of 240 ÷ 8   is 30

∴ the same as  2.4 ÷ 0.08

The quotient of 24,000 ÷ 8,000 is 3

∴ it is not same as  2.4 ÷ 0.08

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Answer:

Let Quarters be q and Dimes be d

q + d >20

2q +d >20

d > 20 - 2q

Hope This Helps! (and that you get it right!)