Can somebody help me pls

Answer: -2

Step-by-step explanation:

\(\frac{y2 - y1}{x2 - x1}\) = \(\frac{7-(-5)}{-4-2}\) = \(\frac{12}{-6}\) = -2

Brenna would take 20 min to cut the same wood into sixths.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let x be the rate at which Brenna cuts the wood in a single piece,
So, She can cut a log into thirds in 10 min.
x = 3/10

x = 0.3 cuts per minute for single wood,

Now,
time took to cut the same wood into 6 pieces
= 6 / x
= 6 / 0.3
= 20 min

Thus, Brenna would take 20 min to cut the same wood into sixths.

Learn more about models here:
https://brainly.com/question/22591166
#SPJ1

To calculate the p-value for a test with the given hypotheses h0:p=0.23 and hΛ:p<0.23, a specific test statistic value is needed.  The p-value represents the probability of obtaining a test statistic as extreme as or more extreme than the observed value, assuming the null hypothesis is true.

Calculating the p-value involves comparing the observed test statistic to the distribution under the null hypothesis. The test statistic could follow different distributions depending on the type of test being conducted (e.g., t-distribution, chi-square distribution, etc.). By determining the appropriate distribution and the critical region defined by the     alternative hypothesis (in this case, hΛ:p<0.23), you can calculate the probability associated with the observed test statistic.

However, since the specific test statistic value is not provided in the question, I recommend referring to statistical software or consulting a statistical table specific to your test statistic and distribution. These resources can help you determine the p-value by comparing the observed test statistic to the distribution and rounding it to the nearest thousandth.

To learn more about chi-square distribution, click here: brainly.com/question/30764634

#SPJ11

Answer: Option 2

The line starts at an x of -4, so the domain is from -4 to infinity since the arrow goes off the graph, meaning it keeps going. The line starts on a y of 2, and the line continues up with the arrow pointing slightly up, so the range is from 2 to infinity.

The domain is from left to right, and the range is down to up

Answer:

2.  {x | x ≥ −4}; {y | y ≥ 2}

Step-by-step explanation:

Let's try to determine the domain first. Look at the x values. The function begins at -4, so our possible domain values also begin at -4, and the values continue positively after -4.

Therefore, our domain is: Domain: {x ≥ -4}.

Or, we could assign our domain using interval notation: [-4,infinity).

Our range, or y values, begin at 2 and continue positively after 2.

Therefore, our range is: Range: {y ≥ 2}.

Again, we could use interval notation to assign our range: [2,infinity)

Therefore, the answer would be

2. {x | x ≥ −4}; {y | y ≥ 2}

Look at the picture to help you better understand

1.  The simultaneous solution of the given equations is X=12/5 and Y=4/5

2.1)The combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

2)The combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

To find the simultaneous solution of the given equations 4X+3Y=12 and 2X+4Y=8, we can use the method of elimination, also known as the addition method. Multiplying the second equation by 2, we get 4X+8Y=16.

Now, we can subtract the first equation from the second equation: 4X+8Y - (4X+3Y) = 8Y - 3Y = 5Y and 16 - 12 = 4. Thus, 5Y=4 or Y = 4/5.

Substituting this value of Y in any of the two equations, we can find the value of X. Let's substitute this value of Y in the first equation: 4X+3(4/5)=12 or 4X

= 12 - (12/5)

= (60-12)/5

= 48/5.

Thus, X = 12/5. Hence, the simultaneous solution of the given equations is X=12/5 and Y=4/5.2. To find the optimal values of X and Y that will maximize the objective function Z=$10X+$50Y, we need to use the method of linear programming.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 3X+4Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function at each of the corner points of the feasible region, and choose the one that gives the maximum value.

Let's denote the corner points as A, B, C, and D, as shown above. The coordinates of these points are: A=(0,3), B=(2,1), C=(5/2,0), and D=(0,0). Now, let's evaluate the objective function Z=$10X+$50Y at each of these points:

Z(A)=$10(0)+$50(3)

=$150, Z(B)

=$10(2)+$50(1)

=$70, Z(C)

=$10(5/2)+$50(0)

=$25, Z(D)

=$10(0)+$50(0)=0.

Thus, we can see that the maximum value of Z is obtained at point A, where X=0 and Y=3. Therefore, the combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

To find the combination of X and Y that will provide a minimum for the problem Minimize Z=X+5Y subject to: 4X+3Y≥12 and 2X+5Y≥10, we need to use the same method of linear programming as above.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 4X+3Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function Z=X+5Y at each of the corner points of the feasible region, and choose the one that gives the minimum value.

Let's denote the corner points as A, B, C, and D, as shown above.

The coordinates of these points are: A=(3,0), B=(5,1), C=(0,4), and D=(0,0).

Now, let's evaluate the objective function Z=X+5Y at each of these points:

Z(A)=3+5(0)=3,

Z(B)=5+5(1)=10,

Z(C)=0+5(4)=20,

Z(D)=0+5(0)=0.

Thus, we can see that the minimum value of Z is obtained at point A, where X=3 and Y=0. Therefore, the combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

Know more about   equations  here:

https://brainly.com/question/25976025

#SPJ8

Answer: 3x + 2) 12x� + 20x� + 11x + 2

Divide the first term 12x� by 3x: %2812x%5E3%29%2F%283x%29=4x%5E2

and write 4x� above the 20x�:

               4x�__________  

3x + 2) 12x� + 20x� + 11x + 2

Multiply the 4x� by the (3x + 2) getting 4x%5E2%283x%2B2%29=12x%5E3%2B8x%5E2 and

write it under the first two terms and draw a line underneath:

               4x�__________  

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�  

Subtract %2812x%5E3%2B20x%5E2%29-%2812x%5E3%2B8x%5E2%29=12x%5E3%2B20x%5E2-12x%5E3-8x%5E2=12x%5E2,

and write 12x� under the line under 8x�, like this:

               4x�__________  

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x�

Now bring down the next term + llx and write in next to the 12x�

               4x�__________  

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

Divide the first term on the bottom 12x� by 3x: %2812x%5E2%29%2F%283x%29=4x

and write + 4x above the 11x at the top, like this:

               4x� +  4x____

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

Multiply the 4x by the (3x + 2) getting 4x%283x%2B2%29=12x%5E2%2B8x and

write it under the first two terms and draw a line underneath:

               4x� +  4x____

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

Subtract %2812x%5E2%2B11x%29-%2812x%5E2%2B8x%29=12x%5E2%2B11x-12x%5E2-8x=3x,

and write 3x under the line under 8x, like this:

               4x� +  4x____

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x

Now bring down the last term + 2 and write in next to the 3x

               4x� +  4x____

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x + 2

Divide the first term on the bottom 3x by the 3x at the left:

%283x%29%2F%283x%29=1 and write + 1 above the + 2 at the top,

like this:

               4x� +  4x + 1

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x + 2

Multiply the + 1 by the (3x + 2) getting 1%283x%2B2%29=3x%2B2 and

write it under the two terms at the bottom and draw a line

underneath:

               4x� +  4x + 1

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x + 2

                      3x + 2

Subtract %283x%2B2%29-%283x%2B2%29=3x-3x=0,

and write 0 under the line under 2, like this:

               4x� +  4x + 1

3x + 2) 12x� + 20x� + 11x + 2

       12x� +  8x�

              12x� + 11x

              12x� +  8x

                      3x + 2

                      3x + 2

                           0

Now you are done and the answer is 4x%5E2%2B4x%2B1 and

since the remainder is 0 you do not have to put it over

the divisor 3x+%2B+2 and add it on like you do when

the remainder is not 0.

Step-by-step explanation:

The product of the numbers (−0. 64) and (−2. 5) is

1.6.

To multiply (-0.64)(-2.5), we can accomplish the task using the following steps:

Multiply the absolute values of the numbers:

0.64 x 2.5 = 1.6

Determine the sign of the product: Since we are multiplying two negative numbers, the product is positive.

Add the sign to the product: (-0.64)(-2.5) = 1.6

hence, (-0.64) x (-2.5) = 1.6.

These can also be solved using calculator

Learn more about multiply at

https://brainly.com/question/28768606

#SPJ4

\(\qquad\) \(\purple{\twoheadrightarrow\bf 2cos^2A = 1 + cos2A }\)

\(\qquad\) \(\purple{\twoheadrightarrow\bf a^3 +b^3 = (a+b)^3 -3ab(a+b)}\)

\(\qquad\) \(\purple{\twoheadrightarrow\bf 2 sinA cosA = sin2A}\)

________________________________________

1)

\(\qquad\) \(\twoheadrightarrow\bf L.H.S\)

\(\qquad\) \(\pink{\twoheadrightarrow\bf cos^4 x}\)

\(\qquad\) \(\twoheadrightarrow\sf \dfrac{1}{4} (2cos^2x)^2\)

\(\qquad\) \(\twoheadrightarrow\sf \dfrac{1}{4}(1+cos2x)^2\)

\(\qquad\) \(\twoheadrightarrow\sf \dfrac{1}{4}(1+2cos2x+cos^22x)\)

\(\qquad\) \(\twoheadrightarrow\sf \dfrac{1}{4}+\dfrac{1}{2}cos2x+\dfrac{1}{8}\times 2cos^22x\)

\(\qquad\) \(\twoheadrightarrow\sf \dfrac{1}{4}+\dfrac{1}{2}cos2x+\dfrac{1}{8}\times(1+cos4x)\)

\(\qquad\) \(\pink{\twoheadrightarrow\bf \dfrac{1}{4}+\dfrac{1}{2}cos2x+\dfrac{1}{8}\times cos4x} \)

\(\qquad\) \(\twoheadrightarrow\bf R.H.S\)

______________________________________

2)

\(\qquad\) \(\twoheadrightarrow\bf L.H.S\)

\(\qquad\) \(\pink{\twoheadrightarrow\bf cos^6\theta +sin^6\theta }\)

\(\qquad\) \(\twoheadrightarrow\sf (cos^2\theta)^3 +(sin^2\theta)^3\)

\(\twoheadrightarrow\sf (cos^2\theta +sin^2\theta)^3 -3cos^2\theta sin^2\theta (cos^2\theta +sin^2\theta)\)

\(\qquad\) \(\twoheadrightarrow\sf 1-3\times \dfrac{1}{4}\times 4(sin\theta cos\theta) ^2\)

\(\qquad\) \(\twoheadrightarrow\sf 1-\dfrac{3}{4}(2sin\theta cos\theta) ^2\)

\(\qquad\) \(\pink{\twoheadrightarrow\sf 1-\dfrac{3}{4}sin^22\theta}\)

\(\qquad\) \(\twoheadrightarrow\bf R.H.S\)

a) It would take Anya approximately 4 years to accumulate $40,000 with an annual interest rate of 12%. b) Anya must earn an annual rate of return of approximately 12.6% to save $40,000 in 3 years.

a) To calculate the number of years it would take Anya to accumulate $40,000, we can use the future value formula for compound interest:

Future Value = Present Value * (1 + interest rate)ⁿ

Where:

Future Value = $40,000

Present Value = $25,000

Interest rate = 12% = 0.12

n = number of years

Substituting the given values into the formula, we have:

$40,000 = $25,000 * (1 + 0.12)ⁿ

Dividing both sides of the equation by $25,000, we get:

(1 + 0.12)ⁿ = 40,000 / 25,000

(1.12)ⁿ = 1.6

To solve for n, we can take the logarithm of both sides of the equation:

n * log(1.12) = log(1.6)

Using a calculator, we find that log(1.12) ≈ 0.0492 and log(1.6) ≈ 0.2041. Therefore:

n * 0.0492 = 0.2041

n = 0.2041 / 0.0492 ≈ 4.15

b) To calculate the required rate of return for Anya to save $40,000 in just 3 years, we can rearrange the future value formula:

Future Value = Present Value * (1 + interest rate)ⁿ

$40,000 = $25,000 * (1 + interest rate)³

Dividing both sides of the equation by $25,000, we have:

(1 + interest rate)³ = 40,000 / 25,000

(1 + interest rate)³ = 1.6

Taking the cube root of both sides of the equation:

1 + interest rate = ∛1.6

Subtracting 1 from both sides, we get:

interest rate = ∛1.6 - 1

Using a calculator, we find that ∛1.6 ≈ 1.126. Therefore:

interest rate = 1.126 - 1 ≈ 0.126

To express the interest rate as a percentage, we multiply by 100:

interest rate = 0.126 * 100 = 12.6%

To know more about annual interest rate,

https://brainly.com/question/33696451

#SPJ11

Let's go through each part of the question:3d - e: To compute this, we need two matrices with the same dimensions. If both 3d and e have the same dimensions, we can subtract the corresponding elements.

ba: Matrix multiplication is only possible if the number of columns in the first matrix (b) is equal to the number of rows in the second matrix. If this condition is met, we can multiply the matrices using the standard multiplication rules. cb: Similar to the previous question, matrix multiplication is only possible if the number of columns in the first matrix is equal to the number of rows in the second matrix. de - a: In this case, we need two matrices with the same dimensions to subtract the corresponding elements. If both de and a have the same dimensions, we can perform the subtraction. Otherwise, it is not possible. (ed): Matrix multiplication is only possible if the number of columns in the first matrix (ed) is equal to the number of rows in the second matrix.

In summary, to perform matrix operations, we need to ensure that the dimensions of the matrices are compatible. Matrix addition and subtraction require matrices with the same dimensions, while matrix multiplication requires the number of columns in the first matrix to be equal to the number of rows in the second matrix.

To learn more about Matrix multiplication visit:

brainly.com/question/13591897

#SPJ11

Answer:

x = 4

Step-by-step explanation:

Since M is the midpoint of segment KL, then segments KM and LM are congruent. They have the same length.

4x + 1 = 8x - 15

4x = -16

x = 4

The quadrilateral WXYZ is not a square using the distance formula

From the question, we have the following parameters that can be used in our computation:

W(-1,1),X(3,4),Y(6,0) and Z(2,3)

The lengths of the sides can be calculated using the following distance formula

Length = √[Change in x² + Change in y²]

Using the above as a guide, we have the following:

WX = √[(-1 - 3)² + (1 - 4)²] = 5

XY = √[(3 - 6)² + (4 - 0)²] = 5

YZ = √[(6 - 2)² + (0 - 3)²] = 5

ZW = √[(2 + 1)² + (3 - 1)²] = 13

The sides that are congruent are WX, XY and YZ

This means that WXYZ is not a square

Read more about distance at

brainly.com/question/28551043

#SPJ1

If one of the three machines breaks down before starting the service, it would take the remaining two machines longer to meet the demand. If each machine can produce the same amount of material, it would take each machine 24 hours / 3 machines = 8 hours to perform the entire service.

So, with two machines working, it would take each machine 8 hours / 2 machines = 4 hours to complete the job. Thus, the total time to meet the demand would be 4 hours * 2 machines = 8 hours.

The Slope of  given graph is -2.

The slope of a line indicates how steep it is. Slope is theoretically calculated as "rise over run" (change in y divided by change in x).

1. Locating Slope using a graph

2. Choose two random spots on the line's graph (preferably with integer coordinates).

3. Identify them as A and B. (in any order).

4. The "rise" from A to B should be calculated. If necessary, while moving vertically from point A to point B.

5. Determine the "run" distance from A to B.

6. Apply the following equation: slope = rise/run.

∵ The two points on the graph chosen are A(-3,6) B (3,-6)

  Now , slope = rise / run

            slope = \(\frac{y_{2}- y_{1} }{x_{2}- x_{1} }\)

                      = \(\frac{-6-6}{3-(-3)}\)

                      = -12/ 6

                      = -2          

Learn more about THE SLOPE here :

brainly.com/question/16302642

#SPJ9

A function is a function that represents the area under a curve. In this case, f is the curve being considered. The function a(x) represents the area under the curve of f from x=0 up to x.

So, if we want to find the area under the curve of f from x=0 up to x=3, we would evaluate a(3) - a(0). This would give us the total area under the curve of f from x=0 to x=3. Similarly, if we have another area function, say b(x), that represents the area under the curve of f from some other starting point (e.g. from x=1), we would use b(x) to find the area under the curve of f from x=1 up to some other x value.
The graph of f, displayed in the figure to the right, represents a function that can be analyzed using various mathematical concepts. In this case, we can consider two area functions for f, denoted as A(x) and B(x), which would allow us to evaluate the areas under the curve of the graph with respect to the x-axis. These area functions can be used to understand properties and behaviors of the function f in different regions of the graph.

To know more about function visit:

https://brainly.com/question/30721594

#SPJ11

Answer:

Approximately 16%

Step-by-step explanation:

To solve this problem using the empirical rule, we need to first standardize the value of 170 pages using the mean and standard deviation provided:

z = (x - k) / o

where x is the value we want to find the probability for (170 pages), k is the mean (195 pages), and o is the standard deviation (25 pages).

So,

z = (170 - 195) / 25 = -1

Now, we can use the empirical rule, which states that for a normal distribution:

- About 68% of the data falls within 1 standard deviation of the mean

- About 95% of the data falls within 2 standard deviations of the mean

- About 99.7% of the data falls within 3 standard deviations of the mean

Since we know that the distribution is normal, and we want to find the probability that a randomly selected book has fewer than 170 pages (which is one standard deviation below the mean), we can use the empirical rule to estimate this probability as follows:

- From the empirical rule, we know that about 68% of the data falls within 1 standard deviation of the mean.

- Since the value of 170 pages is one standard deviation below the mean, we can estimate that the probability of randomly selecting a book with fewer than 170 pages is approximately 16% (which is half of the remaining 32% outside of one standard deviation below the mean).

Therefore, the probability that a randomly selected book has fewer than 170 pages is approximately 16%.

43 days are required on average to read 5 pages daily.

Given that the total number of pages is 300 and Tom has read 85 pages this means he has 300-85=215 pages unread. We are told that if he reads 5 pages per day how many days would he be done with the 215 pages left.

To solve for the number of days left, we have to divide  215 by 5

=  215  /  5

=   43 days

So Tom needs 43 days to read the 215 pages left and return the book to the Library.

To know more about the average follow

https://brainly.com/question/20118982

#SPJ1

Answer:

2

Step-by-step explanation:

The given argument can be considered as formally invalid because it contains a logical fallacy. In particular, the fallacy involved is known as the affirming the consequent fallacy, which is a type of non sequitur.

This fallacy occurs when a conclusion is drawn that affirms the consequent of a conditional statement, without considering other factors. In this case, the argument starts with a conditional statement (if Felix is a bachelor, then he is not married) and then proceeds to the conclusion that Felix is not a bachelor based solely on the fact that he is married.

However, this conclusion does not necessarily follow from the conditional statement because it is possible for someone to be married without being a bachelor, such as if they were previously married and then divorced. Therefore, the argument is not valid.

Learn more about logical fallacy here.

https://brainly.com/question/30929821

#SPJ11

The distance traveled in 3 seconds is 3/100 miles.

The term "Distance Traveled" describes how far an object has traveled during a specified amount of time to get to its destination. Or The path that a body takes to go a specific distance at a certain speed from one location to another is known as the distance traveled.

The distance can travel in 1 minute.

In order to find the distance traveled in 1 minute, first we need to find the distance traveled in 1 second.

In 3 seconds it can travel 3/100 miles. So, in 1 second it can travel

= 3/100 × 3

= 1/100 miles.

Now, we know that in 1 minute there are 60 seconds. So, in 1 minute it can travel

= 1/100 × 60

= 1/10 × 6

= 6/10

= 0.6 mile

Hence, it can travel 0.6 miles in a minute.

Complete question:

The average sneeze can travel 3/100 mile in 3 seconds. at this rate how far can it travel in 1 minute​

To learn more about distance

https://brainly.com/question/15172156

#SPJ4

Approximately 9.63% of the energy consumed by the person would be derived from protein.

To calculate the percentage of energy derived from protein, we need to first convert the amount of protein consumed from grams to calories. Protein provides approximately 4 calories per gram. Therefore, 65 grams of protein would provide:

65 grams * 4 calories/gram = 260 calories

This gives us 260 calories from protein.

To find the percentage of energy derived from protein, we can divide the calories from protein by the total calories consumed and multiply by 100:

260 calories / 2700 calories * 100% ≈ 9.63%

Therefore, approximately 9.63% of the energy consumed by the person would be derived from protein.

Learn more about percentage of energy

brainly.com/question/22973367

#SPJ11

Answer:

when money is involved

Step-by-step explanation:

when you're shopping, you never see $5/4 instead of $1.25

The solution to the system of equations is (x, y) = (2, 4) and (x, y) = (-2, 4).

To find the solution to the system of equations, we can set the two equations equal to each other: 2x^2 - 4 = 4

Adding 4 to both sides: 2x^2 = 8

Dividing both sides by 2: x^2 = 4

Taking the square root of both sides (considering both positive and negative square roots): x = ±2

Now, we substitute the value of x into either of the original equations to find the corresponding y-values. Let's use the second equation: y = 4

LEARN MORE ABOUT equations here: brainly.com/question/10724260

#SPJ11

Answer:

\(6\)

Step-by-step explanation:

The gist of modular arithmetic in a nutshell: the numbers \(a\) and \(b\) are considered to be congruent by their modulus \(m\) if \(m\) is a divisor of their difference.

In mathematics: \(a \equiv_{m} b \Leftrightarrow (a - b) \vdots m\)

Exemplifying this: \(6 \equiv_{7} -1\) because \(6 - (-1) = 6 + 1 = 7\), \(7 \vdots 7\).

Let us have following equivalences: \(a \equiv_{m} b\) and \(c \equiv_{m} d\), then:  \((a - b) \vdots m\) and \((c - d) \vdots m\) by definition.

Properties:

1. \(a + c \equiv_{m} b + d \Leftrightarrow ((a + c) - (b + d)) \vdots m \Leftrightarrow (a + c - b - d) \vdots m \Leftrightarrow ((a - b) + (c - d)) \vdots m\).

2. \(a - c \equiv_{m} b - d \Leftrightarrow ((a - c) - (b - d)) \vdots m \Leftrightarrow (a - c - b + d) \vdots m \Leftrightarrow ((a - b) - (c - d)) \vdots m\).

3. \(ac \equiv_{m} bd \Leftrightarrow (ac - bd) \vdots m \Leftrightarrow (ac - bc - bd + bc) \vdots m \Leftrightarrow (c(a - b) + b(c - d)) \vdots m\).

4. What if we have \(a \equiv_{m} b\) twice? If we abide by property 3, we can come to the conclusion that \(a^2 \equiv_m b^2\). It is fair enough that there is room for the equivalence \(a^n \equiv_{m} b^n\).

\(3^{51} = (3^3)^\frac{51}{3} = 27^{17} \equiv_{7} (-1)^{17} \equiv_{7} -1 \equiv_{7} 6\).

We used property 4.

Keep in mind that any remainder cannot be a negative number.

Therefore, the remainder equals \(6\).

Integral from 2 to 8 of 2 times f(2x) = 10 if f is a continuous function such that the integral from 1 to 4 of f of x, dx equals 10

What do you mean by integration?

By substituting other variables for the independent variable, the method of integration by substitution transforms any given integral into a simpler form.

According to the given question:

Since integral from 1 to 4 of f(x) =10

To evaluate integral from 2 to 8 of 2 times f(2x), using substitution method

Let U = 2x, dU = 2dx, dx = dU/2

Evaluate the limit, upper limit gives dU = 2*4 = 8, lower limit gives dU = 2*1 = 2.

Since this limit are the same as the limit for the question,

Therefore, F(4) - F(1) = F(8) - F(2) = 10

Substituting dx = dU/2

Gives,

Integral from 2 to 8 of 2 times f(2x)= (1/2)(2)(F(8)-F(2)) = 10

Complete question:

If f is a continuous function such that the integral from 1 to 4 of f of x, dx equals 10, evaluate the integral from 2 to 8 of 2 times f of 2 times x, dx.

To learn more about integration refer to:

https://brainly.com/question/22008756

#SPJ4

The equation of g(x) is 24 (3)ˣ when the graph is stretched vertically by a factor of 3 to form the graph g(x).

What is function?

For the parent function f(x) and a constant k >0,

then, the function given by  

g(x) = kf(x) can be sketched by vertically stretching f(x) by a factor of k if k>1 (or)

if 0 < k < 1 , then it is vertically shrinking f(x) by a factor of k

As per the given statement that the graph of f(x) is stretched vertically by a factor of 3 i.e

k = 3 >1

so, by definition

g(x) = 3 f(x) = 3 . 8(3)ˣ

= 8(3)ˣ⁺¹

= 24 (3)ˣ

Hence, the equation of g(x) is 24 (3)ˣ when the graph is stretched vertically by a factor of 3 to form the graph g(x).

To know more about function check the below link:

https://brainly.com/question/22340031

#SPJ1

Some steps you might take after coming to a solution include all of the following:

A. Create a logical name for the variable.

E. Present your answer with units.

In Computer technology and Mathematics, a problem solving process can be defined as a systematic approach that is used typically for identifying and determining the optimal and effective solution to a particular problem.

Generally speaking, you must ensure that a logical name for the given variable is created after developing a solution to any mathematical or scientific problem.

In conclusion, the final answer (solution) must be presented with the correct and appropriate unit of measurement.

Read more on solution here: https://brainly.com/question/1816427

#SPJ1

Answer:

Step-by-step explanation:

9 is 16.12

11 is 38.36

13 is 9

Answer:

your mom

Step-by-step explanation:

your mom is gay