Which transformation shows a rigid motion help ASAP

The area of region bounded by the functions \(f(x) = 4x^2 - 4x – 4\) and g(x) = 4 A = 28 \(units^2\). The region bounded by the functions can be found by taking the integral of one function with respect to the other.

Specifically, the area A of R is given by the integral of g(x) from x=0 to x=2, minus the integral of f(x) from x=0 to x=2. Therefore, A = integral \([g(x)dx]\) from x=0 to x=2 - integral \([f(x)dx]\) from x=0 to x=2

Evaluating the integrals, we get:

A = \(4(2^3/3 - (2^3/3 - 8/2)) = 4(2^3/3 - 2^3/3 + 4) = 4*4 = 28 units^2\). The area under curve of function depend upon the curve and function. This area like all other forms of areas is denoted in above mentioned form.

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A sample that does not represent the entire group of interest is called a biased sample.

A biased sample is a sample that doesn't reflect the real-world population it is supposed to represent. It happens when the sample is chosen in such a way that some members of the population are less likely to be included than others.

Therefore, a biased sample may not be an accurate representation of the entire population.

For example, if a researcher wants to know how many people in a given area have access to the internet and chooses a sample of people from a high-income neighborhood, the results may be biased because people from low-income areas may have lower rates of internet access.

A biased sample can lead to inaccurate conclusions, and therefore, it's important to ensure that the sample is representative of the population. A random sample, on the other hand, ensures that all members of the population have an equal chance of being included in the sample.

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After simplifying the percentage, if 120% of a is equal to 80% of b, then a+b is 5.

In the given equation,

If 120% of a is equal to 80% of b, then we have to find the value of a+b.

We firstly express the statement in the algebraic equation.

It is given in the statement that 120% of a.

We write it as 120%×a.

From the statement, 80% of b.

We write its as 80%×b.

Both are equal to each other.

So the expression should be

120%×a=80%×b

Divide by 12% on both side

120%/120% ×a=80%/120% ×b

Simplifying

a=80%/120% ×b

As we know that % means 100 but both number 80 and 120 have % sign. So the % sign emitted.

So a=80/120 ×b

Divide by b on both side

a/b=80/120 ×b/b

a/b=80/120

Simplifying the ration

a/b=2/3

Hence, the value of a=2 and b=3.

Now finding the value of a+b.

a+b = 2+3

a+b = 5

Hence, if 120% of a is equal to 80% of b, then a+b is 5.

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To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

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After expanding logarithm equation is : \(\frac{5.log_4(\sqrt{x} )y^7}{zu^4}\)

In, mathematics a logarithmic equation is inverse of exponential equation. That means, we can easily convert the logarithmic equation into exponential equation and vice versa. The basic form of the logarithm function can be written as  .

   \(log_ax=N\)

where, a is the base of function or equation

           x define expression

Mathematically, if  \(a^N=x\)  is an exponential function then, this can be converted to logarithmic function as  \(log_ax=N\).

There are many formulas that are given to us for solving several simple and complex problems based on logarithmic functions and logarithmic equations.

Some important formulas of logarithms are :

The given expression can be written as,

\(\frac{log_4((\sqrt{x})^5 )y^7}{zu^4} \\\)

apply formulas log a^x = x log a

\(log_4\sqrt{x}^5 = 5 log_4\sqrt{x}\)

=> \(\frac{5.log_4(\sqrt{x} )y^7}{zu^4}\)

Thus, after expanding the logarithm equation is : \(\frac{5.log_4(\sqrt{x} )y^7}{zu^4}\)

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Answer:

Ray

Step-by-step explanation:

A ray has a starting point and then continues in one direction.

The maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Acceleration is directly proportional to the force acting on an object. In simple terms, if the force on an object is greater, then it will undergo more acceleration. However, there are limitations to the acceleration that can be tolerated by the human body. At about 5 g (49.0 m/s2) for more than a few seconds, an average person starts to lose consciousness. Let's use this information to answer the given question.

Let the maximum burn rate |ΔM/Δt| that the engine could reach before the ship's acceleration exceeded 5 g be x.

Let the mass of the spaceship be m and the exhaust speed of the engine be v.

Using the formula for the thrust of a rocket,

T = (mv)e

After substituting the given values into the formula for thrust, we get:

T = (3.00 × 104)(2.50 × 103) = 7.50 × 107 N

Therefore, the acceleration produced by the engine, a is given by the formula below:

F = ma

Therefore,

a = F/m= 7.50 × 107/3.00 × 104= 2.50 × 103 m/s²

The maximum burn rate that the engine could reach before the ship's acceleration exceeded 5 g is equal to the acceleration that would be produced by a maximum burn rate. Therefore,

x = a/5g= 2.50 × 103/(5 × 9.8)≈ 51.0 kg/s

Therefore, the maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

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Answer:

0.13 inches.

Step-by-step explanation:

1 inch = 2.54 cm

So 1 cm = 1/ 2.54 in

0.33 cm = 0.33/2.54 in

= 0.13 inches.

Answer:

4x^2+x

Step-by-step explanation:

(x)(4x+1)=(x)(4x)+(x)(1)

Hope this helped :)

Answer:

35

Step-by-step explanation:

subtract highest and lowest numbers

The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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something you should keep in mind is that all three angles in a triangle always add up to 180 degrees.

so, here, since you know the two other angles, you can find the third.

180 - 106 - 42 will give you the measure of that third angle.

your answer will be 32.

hope i helped, good luck!

Answer:

32

Step-by-step explanation:

as you triangle angle add up to 180 so you add 106 by 42 which gives you 148 then

you take 180 -148 which it will give you =32

Answer:

855.4kg

Step-by-step explanation:

32.9 x 26 = 855.4

The jeweler will need approximately 9.42 inches of gold wire to create the circular bracelet.

To solve the problem, you can use the formula for the circumference of a circle, which is given by:

C = 2πr,

where C is the circumference, π (pi) is a constant approximately equal to 3.14, and r is the radius of the circle. Here, we are given that a jeweler is creating a circular bracelet out of gold wire, and the radius of the bracelet is 1.5 inches. Therefore, to determine the amount of wire the jeweler will need for the bracelet, we can use the formula for the circumference of a circle as follows:C = 2πr = 2 × 3.14 × 1.5 inches= 9.42 inches

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The survival time of a 60kg deer without food at -20 degrees Celsius depends on various factors, including its age, sex, and physical condition. However, assuming the deer is healthy and has 5kg of fat, it could potentially survive for around 30 to 50 days without food.

The exact survival time can vary depending on several factors, such as the deer's level of physical activity, environmental conditions, and how much energy it is expending to stay warm in the cold temperature. Additionally, if the deer is able to find sources of water, this can also increase its chances of survival.

It's important to note that this is just an estimate and that the actual survival time may vary. If the deer is injured or sick, its chances of survival may be reduced, and it may not be able to survive as long without food.

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Complete Question

How many days could a 60kg deer survive without food at -20 degrees Celsius if it has 5kg of fat?

Answer:

line q because it just is

Step-by-step explanation:

The line that has zero slope is horizontal in the coordinate plane. the correct option is (a).

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference. The negative slope indicates the rate of decrease while the positive shows the rate of increase.

The given options can be analysed one by one as follows,

(a) A horizontal line on a coordinate plane is parallel to x axis.

The angle the line makes with x axis is zero which implies the slope is also zero.

(b)The line in the given case has some positive value of slope.

(c) A vertical line makes right angle with x axis.

Thus, the slope is tan(90°) = ∞,.

(d) The line in the given case has some negative value of slope.

Hence, the horizontal line will have zero slope.

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Answer:

36 ft

Step-by-step explanation:

The mean of a set of log-normally distributed random variables is equal to the mean of their logs.

Therefore, if we simulate a lot of lognormal(5,1) random variables, take their logs and then take the mean, it will be closest to the mean of the logs, which is 5. This is because lognormal(5,1) tells us that the mean of the original variables is exp(5+1^2/2), which is equal to exp(5.5), or 148.413. Taking the log of this number returns 5.

To calculate this more precisely, let's assume we simulate n lognormal(5,1) random variables and denote them by x_1, x_2, ..., x_n. We take the logs of each variable, producing the values y_1, y_2, ..., y_n. The mean of the logs is then calculated as (y_1+y_2+...+y_n)/n. Since each y_i is equal to the log of one of the x_i's, which is equal to 5, the mean of the logs is 5. Therefore, if we simulate a lot of lognormal(5,1) random variables, take their logs and then take the mean, it will be closest to 5.

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Answer: D.

Step-by-step explanation:

You can start out with the form AX = B and solve for matrix X that would yield the answer

Then X = (A^-1)(B)

A = [1    -1]

      [1     1]

A^-1 = (1/(1 - (1)(-1)))*[1    1]

                             [-1   1]

which can be written as (1/2) * [1    1]

                                                  [-1   1]

B = [26]

     [6]

(A^-1)(B) = (1/2)*[1    1] [6]

                        [-1   1] [26]

= (1/2)*[32]

          [20]

= [16]

  [10]

Answer: I would think that the midpoint is (2,3)

Step-by-step explanation: Because I have eyes

The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:

A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.

B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.

C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.

D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.

Therefore, the correct answer is D. setne 23 47

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Given,

The data set;

75, 67, 83, 90, 79, 74, 70, 72, 72, 78, 76, 67, 66, 80, 77, 77, 84, 74

We have to find the mean, median and mode of the set.

Mean = (75 + 67 + 83 + 90 + 79 + 74 + 70 + 72 + 72 + 78 + 76 + 67 + 66 + 80 + 77 + 77 + 84 + 74) / 18

Mean = 1361/18 = 75.61

The data set is even, then median;

Median = (n/2 + n/2+1) / 2

Median = (18/2 + 18/2 + 1) / 2

Median = (9th term + 10th term)/2

Here,

9th term = 72

10th term = 78

So,

Median = (72 + 78) / 2 = 150/2 = 75

The mode in this data set is 67, 74, 72, 77

That is,

The mean of the data set is 75.61

The median of the data set is 75

The mode of the data set is 67, 74, 72, 77

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Answer:

Mr. Reed still needs to run 7 5/12 miles to reach his Step-by-step explanation:

2 3/4 and 2 1/3 need to be converted to a common denominator of 12:

2 9/12 and 2 4/12

Then we need to convert the original 12 1/2:

12 6/12

Add the miles he's already run:

2 9/12 + 2 4/12 = 5 1/12

Subtract the total amount run from the total goal:

12 6/12 - 5 1/12 = 7 5/12

Therefore, he still needs to run 7 5/12 miles to meet his total 12 1/2 (or 12 6/12) miles goal.

The solution to the differential equation D²y(t) + 12 Dy(t) + 36y(t) = 2 \(e^{(-5t)}\), with initial conditions y(0) = 1 and Dy(0) = 0, is \(y(t) = (1 + 6t) e^{(-6t)}\).

To solve the given differential equation using the classical method, we can assume a solution of the form \(y(t) = e^{(rt)}\) and find the values of r that satisfy the equation. We then use these values of r to construct the general solution.

Using the classical method:

Substitute the assumed solution \(y(t) = e^{(rt)}\) into the differential equation:

D²y(t) + 12 Dy(t) + 36y(t) = \(2 e^{(-5t)}\)

This gives the characteristic equation r² + 12r + 36 = 0.

Solve the characteristic equation for r by factoring or using the quadratic formula:

r² + 12r + 36 = (r + 6)(r + 6)

= 0

The repeated root is r = -6.

Since we have a repeated root, the general solution is y(t) = (c₁ + c₂t) \(e^{(-6t)}\)

Taking the first derivative, we get Dy(t) = c₂ \(e^{(-6t)}\)- 6(c₁ + c₂t) e^(-6t).\(e^{(-6t)}\)

Using the initial conditions y(0) = 1 and Dy(0) = 0, we can solve for c₁ and c₂:

y(0) = c₁ = 1

Dy(0) = c₂ - 6c₁ = 0

c₂ - 6(1) = 0

c₂ = 6

The particular solution is y(t) = (1 + 6t) e^(-6t).

Using the Laplace transform method:

Take the Laplace transform of both sides of the differential equation:

L{D²y(t)} + 12L{Dy(t)} + 36L{y(t)} = 2L{e^(-5t)}

s²Y(s) - sy(0) - Dy(0) + 12sY(s) - y(0) + 36Y(s) = 2/(s + 5)

Substitute the initial conditions y(0) = 1 and Dy(0) = 0:

s²Y(s) - s - 0 + 12sY(s) - 1 + 36Y(s) = 2/(s + 5)

Rearrange the equation and solve for Y(s):

(s² + 12s + 36)Y(s) = s + 1 + 2/(s + 5)

Y(s) = (s + 1 + 2/(s + 5))/(s² + 12s + 36)

Perform partial fraction decomposition on Y(s) and find the inverse Laplace transform to obtain y(t):

\(y(t) = L^{(-1)}{Y(s)}\)

Simplifying further, the solution is:

\(y(t) = (1 + 6t) e^{(-6t)\)

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58 min/day  rate did she practice in minutes per day.

What is  time?

1 day = 2030 min ÷ (5 weeks × 7 days)

1 day = 2030 ÷ 35

1 day = 58 minutes

rate = 58 min/day

Therefore, 58 min/day  rate did she practice in minutes per day.

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Answer:

30 minutes

Step-by-step explanation:

The hare and tortoise meet in 30 minutes at 240 feet.

Answer:

30minutes

Step-by-step explanation:

Tortoise = Hare

2m + 180 = 8m

collect like terms

180 = 8m - 2m

180 = 6m

divide both sides by 6

m = 180/6

m = 30

It will take 30 minutes for the tortoise and hare to meet.

The probability of making the wrong decision is approximately 0.0082.

According to the central limit theorem, the distribution of the sample mean of a large number of independent and identically distributed random variables approaches a normal distribution. In this case, the random variable is the number of odd outcomes in 100 rounds of the roulette.

As each outcome has an equal probability of being odd, the distribution of the number of odd outcomes is binomial with parameters n=100 and p=1/2.

Using the mean and variance of a binomial distribution, we have:

mean = np = 100 x 1/2 = 50

variance = np(1-p) = 100 x 1/2 x (1 - 1/2) = 25

The standard deviation of the distribution is the square root of the variance, which is 5. Therefore, the z-score for a count of 55 is:

z = (55 - 50) / 5 = 1

Using a standard normal distribution table or calculator, we find that the probability of a z-score greater than 1 (i.e., a count of 55 or more) is approximately 0.1587. However, we are interested in the probability of making the wrong decision, which is the probability of a count of 55 or more given that the roulette is fair.

This probability is equal to the significance level of the test, which is the probability of rejecting the null hypothesis (fair roulette) when it is actually true.

Assuming a significance level of 0.05, the probability of making a Type I error (rejecting a true null hypothesis) is 0.05. Therefore, the probability of making the wrong decision is approximately 0.05 x 0.1587 = 0.0082.

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Answer:

\(\frac{1}{40}\)

Step-by-step explanation:

Answer:

1/40

Step-by-step explanation:

\(\frac{1}{8}\) ÷ \(\frac{5}{1}\)

\(\frac{1 x 1 }{8 x 5}\) = 1/40