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The sum of three consecutive odd integers is fifty-one. Find the integers. (Enter your answers as a comma-separated list.)​

Answer:

Using Words: The total area of the house and deck is given by the sum: 40x20 + x(13x) .

Using Symbols: The total area of the house and deck is given by the sum: 800 + 13x^2 ft².

Step-by-step explanation:

Labor content (labor dollar per unit) is the total cost of labor required to produce one unit of a product. It can be calculated by dividing the total labor cost by the number of units produced.

In this scenario, we are given that an employee produces 17 parts during an 8-hour shift and earns $109 per shift.

To calculate the labor content, we first determine the labor cost per hour. This is done by dividing the total amount earned in the 8-hour shift by 8.

Labor cost per hour = $109 ÷ 8 = $13 per hour

Next, we calculate the number of parts produced per hour by dividing the total number of parts produced (17) by the duration of the shift (8 hours).

Parts produced per hour = 17 ÷ 8 = 2.125 parts per hour

Finally, we calculate the labor cost per part by dividing the labor cost per hour by the number of parts produced per hour.

Labor cost per part = $13 ÷ 2.125 = $6.12 per part

Therefore, the labor content (labor dollar per unit) of the product is $6.12 per part.

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Answer:

13

Step-by-step explanation:

plug in 3 for x

4(3)+1 = 13

Answer:

15x

Step-by-step explanation:

The magnitude of the number six in the whole number 22,367,245 is

6,000.

Place value is the value or worth of a digit within a number based on its position or place in that number. In our decimal number system, each digit's position represents a power of 10.

The position to the right of the decimal point is the ones place, followed by the tens place, hundreds place, thousands place, tens of thousands and so on, increasing by powers of 10 as you move to the left.

In the number given 6 is in the tens of thoudsand

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Given the graph of the line and it is required to find the equation of the line.

As shown the line pass through the points ( 0 , 1080 ) and ( 6 , 810 )

Let the months = x and $ Owed = y

The general equation of the line in slope - intercept form is ;

Where m is the slope and b is y-intercept

The slope = Rise/Run

Rise = 810 - 1080 = -270

Run = 6 - 0 = 6

so, the slope :

And y - intercept is the value of y when x = 0

so, when x = 0 , y = 1080

So,

Therefore the equation of the line will be:

A 90° rotation around the origin characterised the transition.

A logical principle that specifies the circumstances in which one assertion can be legitimately inferred from one or more other statements, particularly in codified languages.

(x, y)(x, y) is the formula for a reflection over the x-axis.

Triangle ABC was changed utilizing the (x, y) rule (–y, x). The triangles' vertices are displayed. A (–1, 1) B (1, 1) C (1, 4) (1, 4) A' (–1, –1) (–1, –1) B' (–1, 1) C' (–4, 1) (–4, 1) Which phrase best sums up the change? A 90° rotation around the origin characterised the transition. A 180° rotation of the origin occurred during the transformation.  The transformation was a 270° rotation about the origin. The transformation was a 360° rotation about the origin.

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Answer: A reflection over the y-axis justifies ∆ABC ≅ ∆A'B'C'.

Step-by-step explanation: Took the test, no thanks neeeded :)

the equation of the tangent line is:
y = 4√3x + 4 + (2√3 × π)÷3

To find the equation of the tangent line to the curve y = 8sin(x) at the point (π/6, 4), we need to determine the slope (m) and the y-intercept (b).
First, find the derivative of the given function with respect to x to obtain the slope of the tangent line:
y'(x) = d(8sin(x))/dx = 8cos(x)
Now, evaluate the derivative at x = π/6 to find the slope (m) of the tangent line:
m = 8cos(π/6) = 8 × (√3/2) = 4√3
Next, we have the point-slope form of the equation:
y - y1 = m(x - x1)
Here, (x1, y1) = (π/6, 4). Plug in the values and simplify:
y - 4 = 4√3 (x - π/6)
Now, we need to solve for the y-intercept (b) by setting x = 0:
b = y - 4√3 (x - π/6)
b = 4 - 4√3(0 - π/6)
b = 4 + (4√3 × π)/6
b = 4 + (2√3 × π)/3

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Answer:

6 hours.

Step-by-step explanation:

Here's my work.

Chang only wanted to spend $44, and the boat costs $8/hr. So, the variable would only be 8t, and you would put 44 on the other side.

Then, you'd put -4 on the side with 8t, because you can take off $4.

So, the setup would be;

44 = 8t - 4.

Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional

Correct statements are:

a) A square can be thought of as a special rectangle.

d) Squares, rectangles, and parallelograms are all quadrilaterals.

e) A square is also a parallelogram.

Incorrect statements are:

b) A rectangle cannot be thought of as a special parallelogram. A rectangle is a special type of quadrilateral, but it does not have the same properties as a parallelogram.

c) A square cannot be thought of as a special rhombus. While a square is a special type of rhombus, not all rhombuses are squares.

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The mean weight of adult trout is 3.224 pounds is the answer.

Given, A normal model is used to describe the weights of adult trout, with a standard deviation of 1.2 pounds. It is known that only 7% of adult trout weigh more than 5 pounds.

To calculate the mean weight (in pounds) of adult trout, the following steps need to be followed:

Step 1: Find the z-score for the given percentage value.

The z-score formula is given by: z = (x - μ) / σ where x is the value of the variable, μ is the mean, and σ is the standard deviation.

Step 2: Once we have the z-score, we can find the corresponding value of x using the z-score table.

We need to find the z-score corresponding to the 93rd percentile as only 7% of the trout weigh more than 5 pounds.z = (x - μ) / σ

For a one-tailed distribution with α = 0.07, the z-score is 1.48, approximately.

Therefore, we have1.48 = (5 - μ) / 1.2Multiplying both sides by 1.2, we get1.776 = 5 - μ

Subtracting 5 from both sides, we getμ = 5 - 1.776μ = 3.224

Therefore, the mean weight of adult trout is 3.224 pounds.

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Answer:

2x-30=22

Step-by-step explanation:

I belive this is the answer but I´m not fro sure

1 pound of jelly beans cost $1.75

1 pound of almonds cost $2.75

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 8 is an equation.

We have,

From the table,

We can make two equations:

Cost of jelly beans = x

Cost of almonds = y

First purchased:

9x + 7y = 37

Second purchased:

3x + 5y = 17

Now,

9x + 7y = 37 _____(1)

3x + 5y = 17 ______(2)

Using the elimination method.

Multiply 3 into (2).

9x + 7y = 37

9x + 15y = 51

(-)     (-)      (-)

       -8y = -14

           y = 14/8

           y = 7/4 = 1.75

And,

9x + 7y = 37

9x + 7 x 1.75 = 37

9x + 12.25 = 37

9x = 37 - 12.25

9x = 24.75

x = 2.75

Thus,

Cost of 1 pound of jelly beans = $1.75

Cost of 1 pound of almonds  = $2.75

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Answer:

(5,1)

Step-by-step explanation:

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function.

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The total time that Tony bakes the casserole is calculated by adding the two times together.

The first time the casserole bakes for 25 5/12 minutes and the second time it bakes for 2 3/6 minutes. The two times can be written in fractions as 25 5/12 + 2 3/6. To add fractions with different denominators, the denominators must first be made equal.To accurately calculate the total amount of time the casserole bakes, the fractions must be converted to their equivalent value in the same unit. 5/12 minutes is equal to 10/24 minutes and 2 3/6 minutes is equal to 8/6 minutes. To add the two fractions, 10/24 and 8/6, they must be converted to have the same denominator. The least common denominator is 24, so 10/24 is equal to 5/12, and 8/6 is equal to 16/24.  To make the denominators equal, the common denominator of 12 must be used. 25 5/12 can be rewritten as 225/12 and 2 3/6 can be rewritten as 15/12. 225/12 + 15/12 = 240/12. The fraction 240/12 can be reduced to 20/1. Therefore, the total time that Tony bakes the casserole is 20 minutes. The formula used to calculate this time is (25 5/12) + (2 3/6) = (225/12) + (15/12) = (240/12) = (20/1).

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Savanna, Georgia is the U. S. City whose area code can be found within the first ten digits of pi.

The ZIP code is the postal code system used by the United States Postal Service (USPS).

The ZIP code for the city of Savanna is 31416.

The number pi is 3.1416.

According to the above, it can be inferred that the city of Savanna, Georgia is the one with the number pi as its ZIP code number.

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Using trigonometry, the exact value of tan(sin 4.010) is 0.0683 and X value is undefined (0/0).

Given that, we need to find the exact value of tan(sin 4.010) and undefined term: X (0/0).

Formula Used:

tan(sin x) = sin x / cos x

We know that if X is 0, then 0/0 will be an undefined value.

tan(sin 4.010) = sin 4.010 / cos 4.010

tan(sin 4.010) = 0.0680 / 0.9977

tan(sin 4.010) = 0.0683

Now, Let's find X value:

X = 0/0 (Undefined Value)

Therefore, the exact value of tan(sin 4.010) is 0.0683 and X value is undefined (0/0).

Hence, the answer is tan(sin 4.010) = 0.0683, X = 0/0.

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Answer:

2y = 14 the correct answer is C

Answer: 80 Digrise to the right

The time series pattern which reflects a multi-year pattern of being above and below the trend line is Cyclical

Time series analysis is a statistical method that is used for modeling and analyzing time series data.

A time series is a sequence of data points ordered in time intervals that are usually uniform.

Some of the applications of time series analysis include sales forecasting, financial market analysis, stock market analysis, etc.A time series pattern that reflects a multi-year pattern of being above and below the trend line is cyclical. Cyclical component: Cyclical components are periodic fluctuations that occur in time series data over a more extended period than the seasonal fluctuation. In other words, it is a set of a multi-year pattern of being above and below the trend line.

The time series pattern which reflects a multi-year pattern of being above and below the trend line is cyclical.

Summary: Time series analysis is a statistical method that is used for modeling and analyzing time series data. A time series pattern that reflects a multi-year pattern of being above and below the trend line is cyclical.

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The given sequence {an} = 4n - 3 does not converge. As n approaches infinity, the terms of the sequence continue to grow without bound. Therefore, the correct choice is: B. The sequence {an} diverges.

To determine if the sequence {an} = 4n - 3 converges or diverges, we can analyze the behavior of the sequence as n approaches infinity.

Step 1: Take the given expression for the nth term of the sequence, which is an = 4n - 3.

Step 2: Consider what happens to the terms of the sequence as n becomes larger and larger (approaching infinity).

Step 3: As n increases, the term 4n dominates the expression, while the constant term -3 becomes insignificant compared to the growing term.

Step 4: The sequence grows without bound as n approaches infinity because the term 4n increases indefinitely without any upper limit.

Step 5: Since the terms of the sequence do not approach a specific value or become bounded, we conclude that the sequence {an} diverges.

Therefore, the correct choice is:

B. The sequence {an} diverges.

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A.  \(\frac{1}{5}\)

B. \((\frac{1}{4})^{5}\)

C. \((\frac{1}{4})^{5}\)

D. \(\frac{1}{(-7)^{2}}\)

An expression is a mathematical phrase that combines numbers, variables, and mathematical operations to represent a value or a set of values. It can be simple or complex, and it is often used in algebra to solve problems and represent mathematical relationships.

A. Given, ⇒ \(5^{3} . 5^{-4}\)              (using multiplication rule)

⇒ \(5^{3+(-4)} = 5^{-1}\) ⇒ \(\frac{1}{5}\)

B. Given, ⇒ \(\frac{3^{5} }{3^{-6}}\)                  (using division rule)

⇒ \(3^{5-(-6)}\) ⇒ \(3^{11}\)

C. Given, ⇒ \((\frac{1}{4})^{3} . (\frac{1}{4})^{2}\)         (using multiplication rule)

⇒  \((\frac{1}{4})^{3+2}\)⇒ \((\frac{1}{4})^{5}\)

D. Given, ⇒ \(\frac{(-7)^{5}}{(-7)^{7}}\)                 (using division rule)

\(= (-7)^{5-7} =(-7)^{-2}\)

⇒  \(\frac{1}{(-7)^{2}}\)

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For each simplify expression (A-D). tell whether or not tie expression has a value between O and t. A.  \(\frac{1}{5}\), B. \((\frac{1}{4} )^5\), C.    \((\frac{1}{4} )^5\), D. \(\frac{1}{(-7)^2}\)

An expression is a mathematical phrase that combines numbers, variables, and mathematical operations to represent a value or a set of values. It can be simple or complex, and it is often used in algebra to solve problems and represent mathematical relationships.

A. Given, ⇒\(5^{3}. 5^{-4}\)              (using multiplication rule)
⇒ \(5^{3(-4)} = 5^{-1}\)  ⇒ \(\frac{1}{5}\)
B. Given, ⇒ \(\frac{3^5}{3{-6}}\)                  (using division rule)
⇒ \(3^{5-(-6)}\) ⇒ \(3^{11}\)
C. Given, ⇒ \((\frac{1}{4} )^3. (\frac{1}{4} )^2\)         (using multiplication rule)
⇒ \((\frac{1}{4})^{3+2}\) ⇒ \((\frac{1}{4})^5\)
D. Given, ⇒  \(\frac{(-7)^5}{(-7)^7}\)               (using division rule)
=  \((-7)^{5-7} = (-7)^{-2}\)
⇒\((\frac{1}{(-7)^2} )\)

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Answer:

Below

Step-by-step explanation:

See image for long division answer

If the jobs are sequenced according to the SLACK rule, Job A would be completed on day 12.

The SLACK rule involves calculating the slack time for each job, which is the difference between the due date and the completion time. The job with the least slack time is prioritized and scheduled first. In this case, the due dates for the jobs are as follows: Job A (12), Job B (15), Job C (17), Job D (10), and Job E (8).

Job A has a processing time of 8 days and a due date of 12, so the slack time is 12 - 8 = 4 days. Since Job A has the least slack time among all the jobs, it would be completed on day 12. Therefore, the answer is D. 12.

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The trigonometric simplified form of sinθ secθ is tanθ.

To write the trigonometric expression sinθ secθ in terms of sine and cosine, we can use the reciprocal identity for secant:

secθ = 1/cosθ

Substituting this into the expression, we have:

sinθ secθ = sinθ (1/cosθ)

Now, to simplify the expression, we can multiply sinθ by 1/cosθ:

sinθ (1/cosθ) = sinθ/cosθ

Using the quotient identity for tangent, we can rewrite sinθ/cosθ as tanθ:

sinθ/cosθ = tanθ

Therefore, the simplified form of sinθ secθ is tanθ.

The complete question is:

Write the trigonometric expression in terms of sine and cosine, and then simplify.

sinθ secθ

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There is only 1 power of 7 contained in 10.

Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.

Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.

The digit in the tens place is the same.

The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.

The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.

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There is only 1 power of 7 contained in 10.

Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.

Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.

The digit in the tens place is the same.

The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.

The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.

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Each shirt = $2.99, each pair of slacks = $5.99, and each sports coat = $6.99.

Total refers to a whole or full amount, and the verb "to total" means to combine two numbers or to destroy anything. In mathematics, you add integers to get the total; the outcome is the total. The result of adding 8 and 8 is 16.

Let shirts equal SH, Slacks equal S, and sports coats equal SC.

2SH+2S equals 17.96.

6SH+3S+2SC=49.89

5SH+1SC=21.94

We'll use them to address

6SH+3S+2SC=49.89

-6SH-6S=--53.88, multiplying by -3 to eliminate SH.

-3S+2SC=-3.99

-30SH-6SC=-131.64, multiplying the third by -6 to eliminate SH

30SH+15S+10SC=249.45,multiplying by 5 to eliminate SH.

15S + 4SC = 117.81

Now 15S + 4SC = 117.81  and -3S+2SC=-3.99

S = $5.99

As a result, we may calculate SH as $2.99 and use the value of S and SH we get SC = $6.99

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For a straight line graph, the point at which the line crosses the y axis is called the y intercept. From the information given, the line crosses the y axis at - 5. This means that the y intercept is - 5

We would write the equation in the slope intercept form whicg is expressed as

y = mx + c

Where m represents the slpoe

We would substitute x = 2, y = 3 and c = - 5 in the equation above to determine the slope, m. It becomes

3 = m * 2 - 5

3 = 2m - 5

3 + 5 = 2m

2m = 8

m = 8/2

m = 4

The equation would be

y = 4x - 5y interceptF

The expected value of sales at a price of $1 is 11.015 for the given regression demand equation.

In the regression demand equation e(log(sales | price)) = 11.015 - 2.442 log(price), you want to find the expected value of sales at a price of $1. To find the expected value of sales, you need to substitute the given price of $1 into the equation and solve for the sales. Substituting the price of $1 into the equation, you get: e(log(sales | 1)) = 11.015 - 2.442 log(1). Since log(1) = 0, the equation simplifies to: e(log(sales | 1)) = 11.015 - 2.442 * 0, e(log(sales | 1)) = 11.015
Therefore, the expected value of sales at a price of $1 is 11.015.

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