ranslation, rotation, distortion, dilation are all components of deformation and strain. T/F. Explain

the correct answer is A. $63,200.

To compute the cost component of the machine, we need to add up all the related expenditures to the cash price of the machine.

Cash price of the machine: $60,000

Sales taxes: $2,000

Insurance after installation: $200

Installation and testing: $1,000

Total related expenditures: $2,000 + $200 + $1,000 = $3,200

Cost component of the machine: Cash price + Total related expenditures

Cost component of the machine = $60,000 + $3,200 = $63,200

Therefore, the correct answer is a. $63,200.

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Answer:

1/3

Step-by-step explanation:

as 1/6 for a one and 1/6 for a 2 and 1/6 + 1/6 is 2/6 or 1/3

Answer:

C and D!

Step-by-step explanation:

For A, two is greater than negative four, so that eliminates that right off the bat.

In B, -1/3 is greater than -1/6, so that choice is wrong.

E, -3/4 is greater than negative three, so that is also wrong!

C and D are correct!

If you need extra help, I'm here!

Answer:

B,D

Step-by-step explanation:

They are ordered correctly

Brainliest appreciated!

Answer:

y=-650x+9500

Step-by-step explanation:

plug in

-650(1)+9500 = 8850

As the 6.0 s interval begins, the wheel has been moving for roughly 8.4 seconds.

We can use the kinematic equation to find the time the wheel has been in motion at the start of the 6.0 s interval:

θ = 1/2 α t^2

where θ is the angle rotated, α is the constant angular acceleration, and t is the time.

At the start of the 6.0 s interval, the wheel has rotated through an angle of θ = 142 rad, and the angular acceleration is α = 4.0 rad/s^2. We want to find the time t at this point.

Rearranging the equation, we get:

t^2 = 2θ / α

Substituting the values we have, we get:

t^2 = 2(142 rad) / (4.0 rad/s^2)

Simplifying this expression, we get:

t^2 = 71 s^2

Taking the square root of both sides, we get:

t ≈ 8.4 s

Therefore, the wheel has been in motion for approximately 8.4 seconds at the start of the 6.0 s interval.

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Answer:

positive 42

Step-by-step explanation:

because to negatives make a positive and then you would multiply the two by eachother because they are directly beside eachother and then you do 7*6 which equals to 42 I really hoped this helped you

Answer:

A. -10

B. 147

Step-by-step explanation:

I hope this helps!

-90/9 = -10

7 * 21 = 147

According to the triangle, the water level in the trough is rising at a rate of approximately 44.1 inches per minute when the depth is 6 inches and water is being pumped into the trough at a rate of 10 cubic feet per minute.

The hypotenuse of each right triangle is a side of the equilateral triangle, which we know is 5 feet. Using the Pythagorean theorem, we can find the height of the right triangle:

h = √((5²) - ((5/2)²)) = (√(75))/2 = (5√(3))/2 feet

Therefore, when the water level is at a depth of 6 inches, the height of the water in the trough is (5√(3))/2 feet, and the volume of water in the trough is:

V = (25√(3))/4 * (5√(3))/2 = (125√(3))/8 cubic feet

To find the rate at which the water level is rising, we need to take the derivative of the volume with respect to time. Since the volume is changing with time, we can use the chain rule:

dV/dt = dV/dh * dh/dt

We already know dV/dh from the formula for the volume of a prism:

dV/dh = B

where B is the area of the base. We found B earlier to be (25√(3))/4 square feet. To find dh/dt, we need to use the fact that the trough is being filled at a rate of 10 cubic feet per minute. This means that the volume of water in the trough is increasing at a rate of 10 cubic feet per minute. We can set this rate equal to dV/dt:

dV/dt = 10

Substituting in dV/dh and solving for dh/dt, we get:

B * dh/dt = 10

(25√(3))/4 * dh/dt = 10

dh/dt = (40/(25(3))) feet per minute

Therefore, the rate at which the water level is rising when the depth is 6 inches is (40/(25√(3))) feet per minute. To convert this to inches per minute, we can multiply by 12:

dh/dt = (40/(25√(3))) * 12 = (480/25√(3)) inches per minute

Using a calculator, we can approximate this to be about 44.1 inches per minute.

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Answer:

(x - 2) / 2

Step-by-step explanation:

x = 2y + 2

2y = x - 2

y = (x - 2) / 2

Answer: (x-2)/2

Step-by-step explanation:

edg

Answer:

5 degrees

Step-by-step explanation:

Corresponding angles in a transversal are congruent. This can be proved by using the alternate exterior angles theorem, which would make these two angles alternate interior angles. With this, we can form a new equation.

Solve Algebraically

5x+23=7x+13

5x+10=7x

10=7x-5x

10=2x

In the sixth round, four of each of those 256 people share the link, so there are 4 x 256 = 1024 shares.

We can approach this problem using exponential growth. People who shares the link can potentially share it with four more people, so the number of shares will be multiplied by four with each round.

Let's start with Mica's post, which counts as the first round. In this round, one person (Mica) shares the link, so there is a total of 1 share.

In the second round, four of Mica's friends share the link, so there are 4 shares.

In the third round, four of each of those four friends share the link, so there are 4 x 4 = 16 shares.

In the fourth round, four of each of those 16 people share the link, so there are 4 x 16 = 64 shares.

In the fifth round, four of each of those 64 people share the link, so there are 4 x 64 = 256 shares.

Finally, in the sixth round, four of each of those 256 people share the link, so there are 4 x 256 = 1024 shares.

Therefore, in the sixth round of sharing, a total of 1024 people will post the link.

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The mean retirement age in the census report is 68.3 years.

The given information states that the population mean retirement age is 68.3 years, and a random sample of retirement age has a sample mean of 65.8 years. We can use this information to estimate the population mean with a certain level of confidence.

However, the question asks us to find the mean of 68.3 years, which is simply the given population mean. Therefore, we can state that the mean of 68.3 years remains the same, as it is not affected by the sample mean or any other sample statistic.

In other words, the population mean of 68.3 years is a fixed value, and it does not change based on the sample mean or any other sample statistic. Therefore, we can simply state that the mean retirement age is 68.3 years, which is the given information provided in the question.

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Answer:5

Step-by-step explanation:

ΔXYZ will also be an equilateral triangle.

What is equilateral triangle?

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean space, an equilateral triangle also is equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others. It's also referred to it as a regular triangle because it is a regular polygon.

As X,Y,Z are the midpoints of sides of equilateral triangle so when we will join the X,Y,Z we will find that distances XY=YZ=XZ are three are equal because this is proved by similarity of triangles which in itself is a detailed and vast topic

Hence XYZ will also be an equilateral triangle

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Answer:

c. (1,-1)

Step-by-step explanation:

5x + 2y = 3  4x – 8y = 12  Solve for (x, y)

4x-8y=12

+8y          +8y

4x=12+8y

Divide both sides by 4

4x/4=(12+8y)/4

x=3+2y

Then take x equation and input into 5x + 2y = 3

5(3+2y)+2y=3

15+10y+2y=3

Add 10y and 2y

15+12y=3

Subtract 15 on both sides

15-15+12y=3-15

12y=-12

Divide 12 both sides

12y÷12=-12÷12

Y = -1

Insert the Y equation into 4x – 8y = 12  

4x-8(-1)=12

4x+8=12

Subtract 8 on both sides

4x-8-8=12-8

4x=4

Divide 4 both sides

4x÷4=4÷4

X = 1

Answer: C. (1, -1)

The specific form of the function G(t) and the limits of integration would depend on the available data or assumptions about gas consumption during the specified months.

To express the average monthly U.S. gas consumption during the part of the year between the beginning of April and the end of September, we can set up an integral to calculate the average value of a function over a specific interval.

Let's denote the gas consumption as a function of time, G(t), where t represents the months from April to September. We'll integrate this function over the interval [April, September] to find the average gas consumption.

The integral that represents the average monthly U.S. gas consumption is:

(1 / (September - April)) ∫[April, September] G(t) dt

In this integral, G(t) represents the gas consumption in a given month, and the integration is taken over the interval from April to September. The average gas consumption is obtained by dividing the integral by the length of the interval (September - April).

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When we will fold all the nets in the given options, Option(a) will make a Rectangular prism.

The net of a 3D shape is what it looks like if it is opened out flat.

Step 1 : In option(a) fold the rectangle on the top left and the rectangle on the bottom right simultaneously along the given dark edges.

Step 2 : From the bottom right side fold one more time about the rectangle and from the top left side fold one more time about the square simultaneously.

Step 3 : From the bottom right side fold about the square and from the top left side fold about the rectangle and you will get a perfect rectangular prism.

Hence by folding , the answer is Option (A)

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This will cause the center of gravity to mov aft, which could potentially affect the stability and controllability of the airplane.

To determine the effect of a 35-gallon fuel burn on the weight and balance of an airplane, we need to calculate the weight and moment changes and then adjust the total weight and moment accordingly.

Assuming that the weight of fuel is 6 pounds per gallon, 35 gallons of fuel would weigh 210 pounds \($35 \text{ gal} \times 6 \text{ lb/gal} = 210 \text{ lb}$\).

To calculate the weight change, we subtract the weight of the fuel burn (210 pounds) from the original weight of the airplane (2,890 pounds):

\($$\text{Weight change} = -210 \text{ lb}$$\)

The negative sign indicates that the weight has decreased.

To calculate the moment change, we need to multiply the weight change by the moment arm, which is the distance between the center of gravity and the reference datum. The moment arm is given by the moment/100 (MOM/100) value of 2,452 at takeoff:

\($$\text{Moment arm} =\) \(\frac{\text{MOM}}{100} = \frac{2,452 \text{ in}}{100} = 24.52 \text{ in}$$\)

Moment change = Weight change \($\times$\) Moment arm

\($$\text{Moment change} = (-210 \text{ lb}) \times (24.52 \text{ in}) = -5,149.2 \text{ in-lb}$$\)

The negative sign indicates that the moment has decreased.

To adjust the total weight and moment, we add the weight and moment changes to the original weight and moment, respectively:

\($$\text{Total weight} = 2,890 \text{ lb} + (-210 \text{ lb}) = 2,680 \text{ lb}$$\)

\($$\text{Total moment} = 2,452 \text{ in-lb} + (-5,149.2 \text{ in-lb}) = -2,697.2 \text{ in-lb}$$\)

The negative sign for the total moment indicates that the center of gravity has moved aft, which could potentially affect the stability and controllability of the airplane.

It is important to note that these calculations assume that the weight of the pilot, passengers, cargo, and any other items on board remains constant. If there are any changes to these weights, the weight and balance calculations would need to be adjusted accordingly.

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Answer: The absolute value inequality will be |x| ≥ -2.

Step-by-step explanation: gl :)

Answer:

more simple here da answer but this answer is from the person above i just putted the answer

The absolute value inequality will be |x| ≥ 6

to get the equation of any straight line, we simply need two points off of it, let's use the ones in red provided in the table in the picture below

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-3)}}} \implies \cfrac{4}{3 +3} \implies \cfrac{ 4 }{ 6 } \implies \cfrac{2 }{ 3 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ \cfrac{2 }{ 3 }}(x-\stackrel{x_1}{(-3)}) \implies y -2 = \cfrac{2 }{ 3 } ( x +3) \\\\\\ y-2=\cfrac{2 }{ 3 }x+2\implies {\Large \begin{array}{llll} y=\cfrac{2 }{ 3 }x+4 \end{array}}\)

The probability density function (pdf) of a random variable X is given by;f(x) = 2(1 - x) ; 0 < x < 1; = 0, elsewhere.The cumulative distribution function (cdf) of a random variable X is given by;F(x) = 0, for x < 0; = 2x - 2x2, for 0 ≤ x ≤ 1; = 1, for x > 1.

The probability density function (pdf) of a random variable X is given by;f(x) = 2(1 - x) ; 0 < x < 1; = 0, elsewhere.The cumulative distribution function (cdf) of a random variable X is given by;F(x) = 0, for x < 0; = 2x - 2x2, for 0 ≤ x ≤ 1; = 1, for x > 1. The weekly demand for propane gas (in 1000s of gallons) from a particular facility is a random variable X with the probability density function as described above.

Given the pdf f(x) = 2(1 - x), the cumulative distribution function (cdf) is obtained as follows;For 0 ≤ x ≤ 1;F(x) = ∫f(x)dx= ∫[2(1 - x)]dx= 2x - 2x2 + c.To determine the value of c, let us integrate the probability density function over the entire domain;For -∞ < x < ∞;∫f(x)dx = ∫[2(1 - x)]dx= 2x - x2 + c = F(∞) - F(-∞) = 1 - 0 = 1.Then c = 0.Substituting in the cdf, we get;F(x) = 2x - 2x2.The cumulative distribution function (cdf) of the weekly demand for propane gas (in 1000s of gallons) from a particular facility is given by;F(x) = 2x - 2x2, for 0 ≤ x ≤ 1.

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Answer:

2.69

10.75 divided by 4 is 2.6875 which rounded is 2.69 because 2.6875 is not accurate when it comes to dollars and cents

Answer:

$2.69

Step-by-step explanation:

hope it helps

The distributions of the numbers X and Y of resulting heads and tails [(pλ)^k / k! e^(-pλ)] [(1-p)^λ / (1-p+ p/k+1)]  and [(pλ)^m / m! e^(-pλ)] [(1-p)^λ / (1-p+ p/m+1)]. Here,  X and Y are independent.

Let X be the number of heads and Y be the number of tails. Then we have:

X + Y = N

We want to find the distributions of X and Y. Let's start with X:

P(X = k) = P(X = k | N = n)P(N = n)

where P(X = k | N = n) is the probability of getting k heads given that the number of flips is n. This is simply a binomial distribution with parameters n and p:

P(X = k | N = n) = (n choose k) p^k (1-p)^(n-k)

where (n choose k) is the binomial coefficient.

The probability of N being equal to n is given by the Poisson distribution:

P(N = n) = e^(-λ) λ^n / n!

Therefore, we have:

P(X = k) = ∑ P(X = k | N = n)P(N = n)

   = ∑ (n choose k) p^k (1-p)^(n-k) e^(-λ) λ^n / n!

   = e^(-λ) / k! ∑ (n choose k) p^k (1-p)^(n-k) λ^n

   = e^(-λ) / k! (pλ + (1-p)λ)^k ∑ ((pλ + (1-p)λ)/λ)^n / (k+1)^n

   = e^(-λ) / k! (pλ + (1-p)λ)^k e^(pλ+(1-p)λ) / (k+1)

   = [(pλ)^k / k! e^(-pλ)] [(1-p)^λ / (1-p+ p/k+1)]

The first factor in the last expression is the Poisson distribution with parameter pλ, which means that X has a Poisson distribution with parameter pλ.

Similarly,  Y has a Poisson distribution with parameter (1-p)λ is  [(pλ)^m / m! e^(-pλ)] [(1-p)^λ / (1-p+ p/m+1)]

Now we need to show that X and Y are independent. To do this, we need to show that for any values k and m:

P(X = k and Y = m) = P(X = k) P(Y = m)

Using the expressions we found earlier for P(X = k) and P(Y = m), we have:

P(X = k and Y = m) = e^(-λ) / k! [(pλ)^k e^(-pλ)] [(1-p)^m λ^m e^(-(1-p)λ)]

P(X = k) P(Y = m) = e^(-λ) / k! [(pλ)^k e^(-pλ)] [(1-p)^λ / (1-p+ p/m+1)] e^(-λ) / m! [(1-pλ)^m e^(pλ)]

Notice that the two expressions are the product of two factors, one depending on k only, and the other depending on m only. Therefore, the joint distribution of X and Y factorizes into the product of their marginal distributions, which means that X and Y are independent.

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Answer:

x ≈ 12.12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify Variables

Angle = 8°

Adjacent = 12

Hypotenuse = x

Step 2: Solve for x

Answer:

X= 12.12

Step-by-step explanation:

The answer is 12.12 for x

The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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Answer:

52 I'm pretty sure

Step-by-step explanation:

3x2= 6

3x4=12

4x2=8

8+12+6= 26

26X2=52