compare the graph of the linear function to the parent graph f(x)=xf(x)=x-1a) reflection in the x-b) vertical shift of 1 unit upc) vertical shift of 1 unit down d) vertical shrink

Answer:

08.262=)))55668(4738dfrj

Answer:

.0025%

Step-by-step explanation:

When adding or subtracting numbers with significant figures, the result should be rounded to the least precise decimal place of the measurements involved.

When performing addition or subtraction operations with numbers that have different levels of precision, it is important to ensure that the result is reported with the appropriate number of significant figures.

The rule states that the result should be rounded to the least precise decimal place among the measurements involved in the calculation.

For example, consider the addition of 53.5 and 46.5. Both numbers have one decimal place, so the sum should also be reported with one decimal place.

Adding the numbers gives us 100, but when applying the rule, we round the result to 100.0 to reflect the precision of the original measurements.

Similarly, if we subtracted 46.5 from 53.5, the result would still have one decimal place: 7.0.

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Answer:

2/3

Step-by-step explanation:

Since 6 *6 = 36 , the square root of 36 is 6

In other words:

\(\sqrt{36} \\= 6\\\)

Since 9*9 = 81, the square root of 81 is 9

\(\\\/\sqrt{81}\\ = 9\)

Now we have the fraction \(\frac{6}{9}\)

Now we reduce \(\frac{6}{9}\) to lowest terms:

\(\frac{6}{9 } = \frac{2}{3}\)

Therefore, the answer is  \(\frac{2}{3}\)

Hope this helps :)

Any non-empty subset of Rⁿ, where any linear combination of vectors in S is again a vector in S, is a subspace of Rⁿ.

Given that S is a non-empty subset of Rⁿ such that any linear combination of vectors in S is again a vector in S. Therefore, to prove that S is a subspace of Rⁿ, we have to show that S satisfies three conditions. These conditions are as follows;

The condition for being a subspace of Rⁿ

Firstly, a subspace must be closed under addition. In other words, if x and y are any two vectors in S, then their sum x + y must be in S.

Secondly, a subspace must be closed under scalar multiplication. In other words, if x is any vector in S and c is any scalar, then cx must be in S.

Finally, a subspace must contain the zero vector, denoted by 0.S is a subspace of Rⁿ

From the conditions mentioned above, we can show that S is indeed a subspace of Rⁿ, since S satisfies all the required conditions.

Therefore, we can say that any non-empty subset of Rⁿ, where any linear combination of vectors in S is again a vector in S, is a subspace of Rⁿ.

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Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

x=3, y= -2

Step-by-step explanation:

3x + 9y = -9

x + y = 1

Multiply the second equation by -3

-3x-3y = -3

Add this to the first equation to get rid of the x's

3x + 9y = -9

-3x -3 y = -3

------------------------

     6y = -12

Divide by 6

6y/6 = -12/-6

y = -2

3x + 9y = -9

x + y = 1

Multiply the second equation by -9

-9x-9y = -9

Add this to the first equation to get rid of the y's

3x + 9y = -9

-9x -9 y = -9

------------------------

     -6x = -18

Divide by -6

-6x/-6 = -18/-6

x = 3

Answer:

Here

the given equations are:-

3x + 9y = -9

or,3(x +3y)= -9

or,x+ 3y = -3 ................. (1)

x + y = 1 ................... (2)

Now , subtracting equation (2) from (1) , we ger:-

x + 3y = -3

x + y = 1

- - -

__________

0 + 2y = -2

or, y = -1

putting value of y in equation (2) , we get:-

x +(-2) = 1

or, x - 2 = 1

or x = 3

HENCE,

x = 3 and y = -1 are the values of x and y .

Thank me later.

3/4 plus 1/4

Step-by-step explanation:

The perimeter of a shape is the sum of the all visible side lengths of the shape. The perimeter of the pool including the walkway is 90 + 8x

Given that:

\(Length = 15\)

\(Width = 30\)

Let the width of the walkway be x.

The dimension of the pool including the walkway is calculated by adding the dimension of the pool to the width of the walkway (on both sides):

So, we have:

\(Length = 15 + x + x\)

\(Length = 15 + 2x\)

\(Width = 30 + x + x\)

\(Width = 30 + 2x\)

The perimeter (P) of the walkway is then calculated using:

\(P = 2 \times (Length + Width)\)

This gives:

\(P = 2 \times (15 + 2x + 30 + 2x)\)

Collect like terms

\(P = 2 \times (15 + 30+ 2x + 2x)\)

\(P = 2 \times (45+ 4x)\)

Open brackets

\(P = 2 \times 45+ 2 \times 4x\)

\(P = 90+ 8x\)

Hence, the perimeter of the pool including the walkway is 90 + 8x (see attachment)

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i am little bit confused

but according to me

C and D must be right

hope this is helpful

When x = 2 and dx/dt = 5, the value of differentiation, dy/dt is equal to 190.

The problem states that y = 3x^3 + 2x and dx/dt = 5, and we are required to find dy/dt when x = 2.

To solve this problem, we need to use the chain rule, which is a formula for computing the derivative of a composite function. The chain rule states that if y = f(u) and u = g(x), then dy/dx = dy/du * du/dx. In other words, to find the derivative of a composite function, we need to find the derivative of the outer function and multiply it by the derivative of the inner function.

Using the chain rule, we can find dy/dx as follows:

y = 3x^3 + 2x

dy/dx = 9x^2 + 2

Now, to find dy/dt when x = 2, we need to substitute x = 2 into the above equation and evaluate it. We also need to use the given information that dx/dt = 5.

dy/dt = (dy/dx) * (dx/dt)

Substituting x = 2 and dx/dt = 5 into the above equation, we get:

dy/dt = (9(2)^2 + 2) * 5

dy/dt = (36 + 2) * 5

dy/dt = 190

Therefore, dy/dt = 190 when x = 2.

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no.

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

The two sides of a right triangle opposite the non-right angles are called as adjacent and opposite angle or Legs.

A triangle is a three-sided regular polygon in which the total of any two sides is always larger than the sum of the third side.

A right-angled triangle is one with one of its internal angles equal to 90 degrees, or any angle is a right angle. As a result, this triangle is also known as the right triangle or the 90-degree triangle. In trigonometry, the correct triangle is very significant.

A right-angled triangle is a triangle in which one of the angles is 90 degrees. The total of the other two angles is 90 degrees. The sides that include the right angle are perpendicular and form the triangle's base. The third side is known as the hypotenuse, and it is the longest of the three sides.

The three sides of the right triangle are connected. Pythagoras' theorem explains this relationship. This theorem states that in a right triangle,

Perpendicular² + Base² = Hypotenuse²

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From the given data, the marginal cost and the actual cost of manufacturing is $0.097 and $218.803 respectively.

a. To find the marginal cost function, we need to take the derivative of the cost function with respect to x:

c'(x) = -9/x² + 2x/9

b. To find the marginal cost of manufacturing 12 food processors, we substitute x = 12 into the marginal cost function:

c'(12) = -9/12² + 2(12)/9 = -0.125 + 0.222 = 0.097

Therefore, the marginal cost of manufacturing 12 food processors is $0.097.

c. To find the actual cost of manufacturing the thirteenth food processor, we need to evaluate the cost function at x = 13:

c(13) = 200 + 9/13 + 13²/9 = 200 + 0.692 + 18.111 = $218.803

Therefore, the actual cost of manufacturing the thirteenth food processor is $218.803.

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Answer:

Hope it will help you a lot.

SOLUTION

In this question, we need to get the term that describes the center of the data set shown below:

11, 5 10 11 12 40 48

Re-arranging the numbers, we have:

5, 10, 11, 11, 12, 40, 48

We can get the value of the mean.

Getting the value of the mode,

Mode = 11

Getting the value of the median

Median = 11

Range = Highest number minus Smallest number

= 48 - 5

= 43

CONCLUSION: The mean describes the center of the data set shown above.

The center is Median = 11.

The Form B=UA. Let A be an m×n matrix and let B be the reduced row-echelon form of A. Then we can write B=UA where U is the product of all elementary matrices representing the row operations done to A to obtain B

Elementary matrix is obtained from identity matrix by a single elementary row ( or column )

The product of two elementary matrices need not always be an elementary matrix.

example

consider two elementary matrices of order 2

For more explanation i have attached a pic

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The expression for arctan(4/3) in terms of π is a tan(4/3) / π.

To express arc tan(4/3) in terms of π, we can use the relationship between the trigonometric functions and the unit circle.

The tangent function (tan) is defined as the ratio of the length of the side opposite an angle to the length of the adjacent side in a right triangle. The inverse tangent function, arctan, gives the angle whose tangent is a given value.

In this case, arctan(4/3) represents the angle whose tangent is 4/3. To express this angle in terms of π, we can consider the unit circle.

For arctan(4/3), we can construct a right triangle in the unit circle with the opposite side equal to 4 and the adjacent side equal to 3.

Using the Pythagorean theorem, we can calculate the length of the hypotenuse:

hypotenuse² = opposite² + adjacent²

hypotenuse² = 4² + 3²

hypotenuse²= 16 + 9

hypotenuse²= 25

hypotenuse = 5

Now, let's denote the angle whose tangent is 4/3 as θ. In the right triangle we constructed, the sine of the angle θ is given by opposite/hypotenuse, which is 4/5, and the cosine of the angle θ is given by adjacent/hypotenuse, which is 3/5.

Since the sine is positive and the cosine is positive in the first quadrant of the unit circle, we can conclude that arctan(4/3) corresponds to an angle in the first quadrant.

Therefore, arctan(4/3) can be expressed as:

arctan(4/3) = θ

Since θ corresponds to an angle in the first quadrant, we can write:

arctan(4/3) = θ = tan(4/3)

Note that a tan(4/3) is an angle measure in radians. To express it in terms of π, we need to divide atan(4/3) by π:

arctan(4/3) = θ = tan(4/3) / π

So, the expression for arctan(4/3) in terms of π is a tan(4/3) / π.

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Answer:

l = \(\frac{P - 2w}{2}\)

Step-by-step explanation:

2l + 2w = P

     2l =  P - 2w

      l = \(\frac{P - 2w}{2}\)

The probability  is 0.9332 or 0.9332/1. The probability of the z-score below P(z ≤ 1.5) is calculated as follows:

The formula for z-score is z = (x-μ)/σHere, μ = mean, σ = standard deviation and x = data point in question. Here, we need to find the probability of P(z ≤ 1.5). Therefore, we need to find the z-score that corresponds to 1.5 using the z-score formula which is as follows;

z = (x - μ) / σ We need to rearrange this formula to get x which will give us the data point corresponding to the z-score

x = μ + zσSubstituting z = 1.5, we get:

x = μ + 1.5σ Now, we can use the z-score table or a calculator to find the probability of the z-score being less than or equal to 1.5. Using a z-score table, the corresponding probability is 0.9332.

Therefore, the probability of the z-score below P(z ≤ 1.5) is 0.9332 or 0.9332/1.

This has been calculated as follows:

Z = 1.5 corresponds to 0.9332 probability.

Z-score formula z = (x-μ)/σx

= μ + zσx = μ + 1.5σ

Probability P ( z ≤ 1.5 ) = 0.9332 (from the z-score table)

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Answer:

Explain everything. Imagine that the person who was asking, knows nothing at all so you need to start from the very beginning. i dont know

Step-by-step explanation:

There are infinitely possible lines that can intersect the graph of a line y = -x, An equation of such line is y = 2x-3, which intersects at (1,-1).

We are given a graph y = -x, the number of lines that can intersect the given but is not perpendicular to it is infinite as,

we know equation of a line is y = mx+b

where, m is the slope of the line

and b is the y - intercept.

For the given equation y = - x, m = -1, b =0.

So,

So,  we will consider a equation with m not equal to 1 and -1, that is y = 2x-3, which has m =2, and b = -3.

Therefore, the line having equation y = 2x +3 , will intersect the graph y = -x at (1,-1)

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Answer:

14 feet

Step-by-step explanation:

We solve the above question by using the Greatest Common Factor method

We find the factors of 56 and 98

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56

The factors of 98 are: 1, 2, 7, 14, 49, 98

Then the greatest common factor is 14.

Therefore, the greatest possible length you can cut the rope so all pieces will be the same is 14 feet

Answer:

No

Step-by-step explanation:

I don't think that's how those specifc diagrams work. X in this case would be 3 not seven.

Yes you can move the x and the 1s but it would break the whole diagram. It would just be an (expression/term). Not a full diagram.

You said this was 7th grade math? Wow. I learned this in 5th grade!

Answer:

He is incorrect.  This is because the expression he has right now is x+2=5, making x=3.  So if he adds 2 to the right then it's wrong because it would be 3=7.

Step-by-step explanation:

Answer:

40 would be the best because its more

Answer:

25% off of $40

Step-by-step explanation:

I would say this as my answer since it equals 30 and the other option equals

29.3567

There are 439 ways to select a committee of five members from the department if at least one woman and at least one man must be on the committee.

To find the number of ways to select a committee of five members of the department if at least one woman and at least one man must be on the committee, we can use the principle of inclusion-exclusion.

Let's first find the total number of ways to select a committee of five members from the department, regardless of gender. We can do this using the combination formula:

Total number of ways = C(12,5) = 792

Now, let's find the number of ways to select a committee of five members that includes only men. There are C(8,5) ways to select a committee of five men from a group of eight men.

Similarly, the number of ways to select a committee of five members that includes only women is C(12,5) ways to select a committee of five women from a group of twelve women.

However, we are asked to find a number of ways to select a committee that includes at least one man and at least one woman. So, we need to subtract the number of committees that include only men or only women from the total number of committees and add back the number of committees that include both men and women.

Using the inclusion-exclusion principle, we get:

Number of ways to select a committee with at least one man and at least one woman = Total number of ways - Number of committees with only men - Number of committees with only women + Number of committees with both men and women

Number of ways to select a committee with at least one man and at least one woman = 792 - C(8,5) - C(12,5) + C(8,1) * C(12,4)

Number of ways to select a committee with at least one man and at least one woman = 792 - 56 - 792 + 495

Number of ways to select a committee with at least one man and at least one woman = 439

Therefore, there are 439 ways to select a committee of five members from the department if at least one woman and at least one man must be on the committee.

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Answer: 12

Step-by-step explanation:

The true proportion of the side lengths of the quadrilaterals is A'B'/AB

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

Quadrilaterals ABCD and A'B'C'D

These quadrilaterals are similar

So, it means that the corresponding side lengths are proportional

So. we have

Side length = AB

Corresponding side length = A'B'

The true proportion is then represented as

k = Corresponding side length/Side length

Substitute the known values in the above equation, so, we have the following representation

k = A'B'/AB

Hence, the proportion is A'B'/AB

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