The integral ſ sin(x - 2) dx is transformed into L 9(t)dt by applying an appropriate change of variable, then g(t) is: g(t) = sin )= g(t) = cos This option This option g(t) = cos (3) g(t) = sin This option This option

Answer:

8

Step-by-step explanation:

Answer: 8 batches

Step-by-step explanation:

To get the number of batches she made, we can just use proportion to solve it. But first, we need to convert 5 1/3 to improper fraction

5 1/3 = 16/3

Then we can now use the proportion to solve

2/3 cups = 1 batch

16/3 cups = x (note:5 1/3=16/3)

cross multiply

2/3 × x = 16 /3

2x/ 3 = 16/3

we need to make x the subject of the formula, to do that we will multiply each side of the equation by 3/2

2/3 × 3/2 x = 16/3 × 3/2

6x /6 = 48 / 6

x = 8

Therefore she made 8 batches of cookies.

Peggy recognized gain on the sale is $114,000 ($364,000 - $250,000).

a. Peggy's realized gain on the sale of her principal residence is $364,000 ($450,000 - $65,000 - $21,000 - $14,000).

However, she can exclude up to $250,000 of gain from the sale of her principal residence since she meets the ownership and use tests.

Therefore, her recognized gain on the sale is $114,000 ($364,000 - $250,000).

b. Peggy's basis in the inherited home is its fair market value at the date of the decedent's death, which is $200,000.

When a person inherits property, the basis of the property is stepped up to its fair market value at the date of the decedent's death.

In this case, since Peggy inherited the home on January 1, 2020, the fair market value at that time becomes her new basis for the inherited home.

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Answer: Samantha is 13 years old and Jennifer’s age is 10 years old.

Because it said she was 3 years older, which means 13 +10 = 23.

Step-by-step explanation:

I think.

Samantha age is 7 years and Jennifer age is 4 years.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Samantha is 3 years older than Jennifer.

let Jennifer age be x.

So, Samantha age= x + 3

Now, The square of Jennifer's age plus Samantha's age is equal to 23.

x²+ (x+ 3) = 23

x² + x + 3 = 23

x² + x - 20 = 0

(x- 4) ( x + 5) = 0

x= 4, -5

Hence, Samantha age is 7 years and Jennifer age is 4 years.

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The highest number of month’s mostrn for which the men participated in the job training is 24 months.

What is sample?

The selection of a group of people from a statistical population to estimate attributes of the entire population is known as sampling in statistics, quality control, and survey technique. To gather samples that are representative of the population under consideration, statisticians try to use random sampling.

Given: Take the job training trial with a group of males where individuals could enrol in the programme commencing in January 1976 through around mid-1977. In December 1977, the programme comes to an end. Take into account that the train is the training's indicator variable.

Following are some calculations to determine how many guys in the sample took part in the job training programme:

185 men are accepted into the employment training programme out of the 445 who were supplied. By filtering data, it is provided where

train = 1

24 months was the longest period of time during which the guys took part in job training.

Therefore, the highest number of month’s mostrn for which the men participated in the job training is 24 months.

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Answer: A = w/p

Step-by-step explanation:

A = w/p

Answer: (60/13, 6/13)

Concept:

There are three general ways to solve systems of equations:

Here, we are going to use elimination since all the variables are in the corresponding position.

Solve:

Given

\(\left \{ {{2x+7y=-6} \atop {4x - y=18}} \right.\)

Multiply the first equation in order to eliminate [x]

\(\left \{ {{4x + 14y = -12} \atop {4x - y = 18}} \right.\)

Subtract the second equation from the first equation to eliminate [x]

\(14y-y=-12+18\)

\(13y=6\)

Divide 13 on both sides

\(13y/13=6/13\)

\(\boxed{y=\frac{6}{13} }\)

Substitute [y] value in order to get [x] value

4x - y = 18

4x - 6/13 = 18

4x = 18 + 6/13

4x = 240/13

\(\boxed{x=\frac{60}{13} }\)

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Out of 20 booths at a trade show, you can visit approximately 11,287 different combinations of 15 booths.



To calculate the number of combinations of booths you can visit out of the 20 available booths, we can use the concept of combinations. The formula for combinations is given by:

C(n, r) = n! / (r! * (n - r)!)

where n is the total number of items (booths) and r is the number of items (booths) you want to select.

In this case, n = 20 (total booths) and r = 15 (booths you hope to visit). Plugging these values into the formula, we have:

C(20, 15) = 20! / (15! * (20 - 15)!)

Simplifying this expression, we get:

C(20, 15) = (20 * 19 * 18 * 17 * 16) / (15 * 14 * 13 * 12 * 11)

Calculating the numerator and denominator separately, we find:

C(20, 15) = 38,760 / 3,432

Finally, dividing these two numbers, we get:

C(20, 15) ≈ 11,287

Therefore, you can visit approximately 11,287 different combinations of booths out of the 20 available booths at the trade show.

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The correct simplification of the expression is c12 (option c).

The expression (c^4)^3 can be simplified using the exponent rules for powers of a power, which states that when a power is raised to another power, we can multiply the exponents.

Thus, we have:

(c^4)^3 = c^(43) [Using the rule (a^m)^n = a^(mn)]

Simplifying the exponent 4*3, we get:

c^(4*3) = c^12

Therefore, the correct simplification of the expression is c^12.

Option (c) is the correct answer as it correctly represents the simplified form of the given expression. Option (a) c^-1, option (b) c^7, and option (d) c^64 are not correct because they do not follow the exponent rules used to simplify the expression.

In summary, the expression (c^4)^3 simplifies to c^12, which is option (c) in the given options.

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Answer:

(2,3)

Step-by-step explanation:

it is the point in which they intersect

i am in algebra two so you can trust my answer. if you need more help, lmk in the comments. happy holidays and stay safe!

The quotient of (x² + 3x - 4) ÷ (x - 1) is x + 4, and there is no remainder.

To find the quotient and remainder of the division `(x² + 3x - 4) ÷ (x - 1)`, we can use polynomial long division. Here are the steps:

         x + 4

   -----------------

x - 1 | x² + 3x - 4

       - x² + x

       ------------

                 4x - 4

                 - 4x + 4

                 --------

                           0

The quotient is `x + 4`, and the remainder is `0`.

Therefore, `(x² + 3x - 4) ÷ (x - 1) = x + 4`, with no remainder.

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Answer:

2−2g=6−4g

−2g=6−4g−2

−2g=−4g+4

−2g+4g=4

2g=4

g=4/2

g=2

Step-by-step explanation:

Find the circumference of the pond:

Circumference = 2 x pi x radius

Circumference = 2 x 3.14 x 7.7 = 48.356 m

You want to go around 3 times so multiply the circumference by 3:

48.356 x 3 = 145.068m

Rounded to 1 decimal = 145.1m

Answer:

4.81 divided by 0.74=6.5       61.32 divided by 1.4= 43.8

Step-by-step explanation:

Based on the given information, we cannot prove that △EFG and △KLM are similar using the SSS or SAS similarity theorems. The correct answer is option D) No, they cannot be proven similar by SSS or SAS.

To determine if the triangles △EFG and △KLM can be proven similar using the SSS (Side-Side-Side) or SAS (Side-Angle-Side) similarity theorems, we need to compare their corresponding sides and angles.

SSS Similarity Theorem states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

SAS Similarity Theorem states that if two corresponding sides of two triangles are proportional, and the included angles are congruent, then the triangles are similar.

Let's examine the given information:

Side lengths of △EFG: EF = 18, EG = 24, FG = 15.

Side lengths of △KLM: KL = 6, KM = 8, LM = 5.

By comparing the side lengths, we can see that they are not proportional. For example, the ratio of EF/KL is 18/6 = 3, while the ratio of EG/KM is 24/8 = 3. Therefore, the corresponding sides of △EFG and △KLM are not proportional, which means we cannot establish similarity using the SSS theorem.

Now, let's consider the SAS theorem. For this, we also need to compare the included angles.

Angles of △EFG: ∠EFG, ∠EFG, ∠EGF.

Angles of △KLM: ∠KLM, ∠KML, ∠KLM.

The given information states that ∠EFG and ∠KLM are congruent. However, we don't have any information about the other angles. Without knowing the congruency of the remaining angles, we cannot establish similarity using the SAS theorem

Option D.

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Answer: Its C

Step-by-step explanation:

According to the latest Toronto Housing Market Outlook from RE/MAX, it is predicted that Toronto home prices will increase by 10% in 2022. This is a significant increase in the city's housing market outlook, which has been steadily rising for the past few years.

Toronto's housing market has been booming for several years, with home prices increasing by double digits annually. This growth has been driven by several factors, including low-interest rates, a growing population, and a limited housing supply. In 2022, it is expected that these trends will continue, leading to another year of strong price growth.

In addition to rising home prices, Toronto's housing market is also seeing increased competition among buyers. This is due to a combination of factors, including high demand for homes in the city, limited supply, and a growing number of homebuyers entering the market. As a result, buyers are often facing bidding wars and may need to act quickly to secure a property they want.

In conclusion, it is predicted that Toronto's housing market will continue to grow in 2022, with home prices expected to increase by another 10%. This is good news for sellers looking to capitalize on the city's strong market, but it may make it more difficult for buyers to find affordable homes in the city.

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The joint relative frequency is 21%.

Joint relative frequency can be described as the ratio of the frequency of data in a certain category to the total number of data points in that category.

The joint relative frequency for teachers who teach math and not English = number of teachers who teach maths and not English / total number of teachers

(22 / 104) x 100 = 21%

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In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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Answer:

x = 70

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540

x + 160 + 110 + 105 + 95 = 540

x + 470 = 540 ( subtract 470 from both sides )

x = 70

For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.

The "Rule of 72" is a quick estimation method to determine the time it takes for an investment or savings to double in value. By dividing 72 by the interest rate, you can obtain an approximation of the doubling time. For an interest rate of 3%, it would take approximately 24 years for the savings to double. For an interest rate of 8%, it would take around 9 years for the savings to double.

To calculate the doubling time using the Rule of 72, divide 72 by the interest rate. This provides an approximation of the number of years it takes for an investment or savings to double in value.

For an interest rate of 3%, we divide 72 by 3: 72 / 3 = 24. Therefore, it would take approximately 24 years for the savings to double.

For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.

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a. Time: 11.25 hours

b. Time: 62.94 hours

c. Cases assembled: 11,289.6 cases/week

a. The car's speed is given as 25 meters per second, and we need to find the time it takes to travel 629 miles from Charlotte to New York. First, we convert the distance from miles to kilometers:

629 miles * 1.61 km/mile = 1012.69 km

Next, we convert the speed from meters per second to kilometers per hour:

25 meters/second * 3600 seconds/hour * 1 km/1000 meters = 90 km/hour

Now, we can calculate the time using the formula: time = distance / speed

time = 1012.69 km / 90 km/hour = 11.25 hours

Therefore, it will take approximately 11.25 hours for the car to travel from Charlotte to New York.

b. The hose flows water at a rate of 3.5 gallons per minute, and we need to find the time it takes to fill a 5.00 × 10^4 liter pool. First, we convert the pool volume from liters to gallons:

\(5.00 × 10^4 liters * 1 gallon / 3.7854 liters = 13208.13 gallons\)

Next, we convert the flow rate from gallons per minute to gallons per hour:

3.5 gallons/minute * 60 minutes/hour = 210 gallons/hour

Now, we can calculate the time using the formula: time = volume / flow rate

time = 13208.13 gallons / 210 gallons/hour = 62.94 hours

Therefore, it will take approximately 62.94 hours to fill the pool with the given flow rate.

c. The assembly line runs out 1.4 boxes per second, and we need to find the number of cases assembled in one week. First, we convert the production rate from boxes per second to boxes per day:

1.4 boxes/second * 60 seconds/minute * 60 minutes/hour * 16 hours/day = 80,640 boxes/day

Next, we convert the number of boxes to cases:

80,640 boxes/day / 50 boxes/case = 1612.8 cases/day

Finally, we calculate the number of cases assembled in one week:

1612.8 cases/day * 7 days/week = 11,289.6 cases/week

Therefore, the candy factory is able to assemble approximately 11,289.6 cases in one week of running the assembly line for 16 hours each day.

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The relationship between the standard deviation and variance is that the standard deviation is the square root of the variance.

The correct option is -C

Hence, the correct option is (c) Standard deviation is the square root of the variance. Variance is the arithmetic mean of the squared differences from the mean of a set of data. It is a statistical measure that measures the spread of a dataset. The squared difference from the mean value is used to determine the variance of the given data set.

It is represented by the symbol 'σ²'. Standard deviation is the square root of the variance. It is used to calculate how far the data points are from the mean value. It is used to measure the dispersion of a dataset. The symbol 'σ' represents the standard deviation. The formula for standard deviation is:σ = √(Σ(X-M)²/N) Where X is the data point, M is the mean value, and N is the number of data points.

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Given function is f(x) = ln x, a = 1 and we need to find the Taylor series centered around 1.

For a function f(x) to have a Taylor series at "a," it must be possible to calculate all the derivatives of "f" at "a."The first few derivatives of f(x) with respect to x are as follows:f(x) = ln x,

f'(x) = 1/x,

f''(x) = -1/x^2,

f'''(x) = 2/x^3,

f''''(x) = -6/x^4, ...The nth derivative of f(x) with respect to x is:$$f^{(n)}(x)=\frac{(-1)^{n-1}(n-1)!}{x^n}$$$$f^{(n)}(a)=\frac{(-1)^{n-1}(n-1)!}{a^n}$$.

Therefore, the Taylor series expansion for ln(x) about x = a is:$\sum_{n=1}^{\infty}(-1)^{n-1}\frac{(x-a)^n}{n\cdot a^n}$The radius of convergence is found using the ratio test as follows:$$\begin{aligned} &\lim_{n\to\infty} \left| \frac{(-1)^{n+1}\cdot(x-a)^{n+1}}{(n+1)\cdot a^{n+1}} \cdot \frac{n\cdot a^n}{(-1)^{n}\cdot(x-a)^{n}} \right| \\ &\quad= \lim_{n\to\infty} \frac{(x-a)^{2}}{(n+1)\cdot a} \\ &\quad= 0 \\ \end{aligned}$$Therefore, the radius of convergence is infinity. Hence, the Taylor series centered around 1 is $\sum_{n=1}^{\infty}(-1)^{n-1}\frac{(x-1)^n}{n}$.The radius of convergence of each series is infinity because the limit of the ratio of consecutive coefficients is always zero.

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Answer:

buy using a protractor (I think that's what its called) the 2nd row middle one

Step-by-step explanation:

I'm guessing

Answer:

see graph

Step-by-step explanation:

The domain of the function f(x) = 40t, which represents the number of pecans produced per tree, is all real numbers.

In this context, the variable t represents the number of trees, and since the number of trees can be any real number, the domain of the function is also all real numbers.

This means that the function can be evaluated for any real value of t, including positive and negative numbers, fractions, decimals, and zero.

Therefore, the domain of the function f(x) = 40t is all real numbers.

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