Which of the following is not a possible variable term in the expansion of (x + y)7?
A) x7
B) xy6
C) x2y4
D) x5y2

The initial number was 3.915 and doubled to 7.830

Regression equation  y = 3. 915(1. 106)x

7.830=3.915(1.106)D

we have to find the value of D.

This is the concept of algebra,

suppose the initial number was x, and the new number is 2x.

The constant rate of growth is r and time is D,

Then,

what is the  function representing growth?

\(2x=x(r)D\)

from our choices the equations that represents the information above will be:

7.830=3.915(1.106)D

and

7.830=3.915(2)D

Therefore

from both equations we see the initial number was 3.915 and doubled to 7.830

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Answer:

288

Step-by-step explanation:

plz brainliest

Since the current price of $440 results from a discount of 18% on the original price, $440->100-18=82%. Thus,

Solving for x,

Once rounded, the answer is $536.59

Answer:

(B)\(\dfrac{1}{m^8}\)

StartFraction 1 Over m Superscript 8 EndFraction

Step-by-step explanation:

We want to find the simplified form of: \(m^{-8}p^0\)

\(m^{-8}p^0=m^{-8}$ X p^0\\p^0=1\\m^{-8}=\frac{1}{m^8} \\$Therefore:\\m^{-8}$ X p^0=\dfrac{1}{m^8} X 1\\=\dfrac{1}{m^8}\)

The correct option is B.

Answer:

I am 80% sure its 1 if not then its 1/p

Step-by-step explanation:

Answers:

Answer:

x=5

Step-by-step explanation:

Subtract 20

from both sides of the equation

2

Simplify

Subtract the numbers

Subtract the numbers

3

Subtract  x

from both sides of the equation

Answer:

X = 5

Step-by-step explanation:

To solve for x, you need to get x to one side and everything else to the other side.

3x+20=x+30

Since there is only one positive x on the right, we can subtract it from both sides. This moves it over.

2x+20=30

Since there is a +20 on the same side we put our x, we need to subtract it from both sides to move it over.

2x = 10

Now x is being multiplied by 2. To get rid of it, we divide both sides by 2.

x = 5

In this scenario, we are given the conditional probability P(T∣R) as 0.71 and the marginal probability P(R) as 0.49.The joint probability P(R,T) is 0.349.

In probability theory, the joint probability represents the probability of two events occurring together.

To calculate the joint probability P(R,T), we can use the relationship between conditional probability and joint probability. According to the definition of conditional probability:

P(T∣R) = P(R,T) / P(R)

Given P(T∣R) = 0.71 and P(R) = 0.49, we can rearrange the equation to solve for P(R,T):

P(R,T) = P(T∣R) * P(R)

Substituting the given values, we have:

P(R,T) = 0.71 * 0.49

Calculating this expression, we find P(R,T) ≈ 0.349. Therefore, the joint probability P(R,T) is approximately 0.349.

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Initial payment = $50

installment = $ 30 monthly

Step 1: Obtain how much will be paid in installment

Let the number of months be m

Amount paid in x months will be

=> 30m

Step 2: Obtain the Total amount

Let the total amount be represented by t

Total amount = initial amount + amount paid in installment

Total amount = 30m + 50

t = 30m + 50

Answer: D. y = 3x + 2

Step-by-step explanation: because that's what it shows in the graph

Answer:

D. y = 3x + 2

Step-by-step explanation:

y = mx + b,

where m = slope = rise/run,

and b = y-intercept

From the graph we see that b = 2, s we have

y = mx + 2

Now we look for the slope. Start at (0, 2), the y-intercept, go up 3, a rise of 3, and right 1, a run of 1 to the next point on a grid line intersection.

m = slope = rise/run = 3/1 = 3

Now we have

y = 3x + 2

Answer: D. y = 3x + 2

Regarding the exponential function y = 3(2)^x, we have that:

An exponential function is defined as follows:

y = ab^(x/n).

In which the parameters are defined as follows:

The function for this problem is given as follows:

y = 3(2)^x.

Hence the parameters are given as follows:

At x = 3, the numeric value of the function is obtained as follows:

y = 3 x 2^3

y = 3 x 8

y = 24.

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Since the horizontal distance is deprndent on the length of the catapult, we would plot the values of the horizontal distance on the vertical or y axis and the length of catapult arm on the horizontal or y axis. The scatter plot showing the line of best fit is shown below

The equation of the line of best fit is written as

y = mx + b

where

m = slope

b = y intercept

From the calculations,

slope = 3.6

y intercept = 202.6

Thus, the equation of the line of best fit is

y = 3.6x + 202.6

We are given a matrix A and a scalar λ and asked to show that λ is an eigenvalue of the matrix and determine a basis for its eigenspace.

To determine if λ is an eigenvalue of matrix A, we need to check if there exists a non-zero vector v such that Av = λv. In other words, if multiplying matrix A by vector v results in a scaled version of v. Given the matrix A = [6, 9; -10, 63] and scalar λ = 5, we can find the eigenvectors by solving the equation (A - λI)v = 0, where I is the identity matrix. Substituting the values, we have: [6-5, 9; -10, 63-5]v = 0. Simplifying the equation, we get: [1, 9; -10, 58]v = 0. Solving the system of linear equations, we can find the eigenvectors v corresponding to the eigenvalue λ = 5.

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Answer:

Mean: 78.5

Median: 78

Mode: 77

Step-by-step explanation:

Refer to the picture below for explanation.

Hope this helps! Let me know if you have any questions. Have a great day!

To solve the system of equations using elimination, we'll eliminate one variable by manipulating the equations.

Let's follow the steps: Given equations: 3x + 2y = -3. 9x + 4y = 3. To eliminate the y variable, we can multiply equation (1) by 2 and equation (2) by -1, which will allow us to add the two equations together: 2(3x + 2y) = 2(-3). -1(9x + 4y) = -1(3). Simplifying the equations: 6x + 4y = -6. -9x - 4y = -3. Now, let's add the two equations together: (6x + 4y) + (-9x - 4y) = -6 + (-3). Simplifying the equation: -3x = -9. Dividing both sides by -3: x = 3. Now that we have the value of x, we can substitute it back into one of the original equations to solve for y. Let's use equation (1): 3(3) + 2y = -3. 9 + 2y = -3. Subtracting 9 from both sides: 2y = -12.  Dividing both sides by 2: y = -6. Therefore, the solution to the system of equations is x = 3 and y = -6.

The solutions of system of equations can be represented as the ordered pair (x, y) = (3, -6).

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Answer:

5x^2-25x+2x-10

5x^2-23x-10

Step-by-step explanation:

need thanks and make me brainiest if it helps you

Answer:

5x2 -35 +2x

Step-by-step explanation:

(5x+2)(x-5)

5x(x-5) +2(x-5)

5x2- 25 +2x -10

5x2 - 25 -10 +2x

5x2 -35 +2x

Yes lower production cost increase profit.

Production costs are expenses, such as labor and materials that your company incurs within the course of producing the product that you simply offer to consumers. In common, the lower your generation cost, the higher your benefit, or the sum you've got remaining after you subtract your costs from your sales revenue. lower production costs generally lead to higher profits. When production costs are lower, companies can charge lower prices and still make a profit, or they can keep prices the same and earn higher profits. Lower production costs also reduce the amount of money spent on materials, labor, and other expenses, leaving more of the revenue as profit.

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Della was crying because she doesn't have enough money to brought the present for her husband Jim.

Basically, the O Henry's story of "The gift of Magi" has the central them as Love. In this story, he sets up a contrasted picture in life- love among the ruins- the acute poverty in the family and the sacrifice of the greatest possessions of the family.

In this stage he defines how their possession has helped Jim and Della, that's the hero and heroine to conquer poverty they were in.

Now, the reason behind Della's cry was she had only one dollar and eighty seven cents and with this small amount she could not buy a good present for her dear husband.

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Answer:

well let’s break this down

Let’s make type a coffee “a”

And type b coffee “b”

a is 4.35

b is 5.70

We knwo that b is twice as many as a

The total is 614.25

So we can do soemthing like this

4.35a+ (5.70b)2 = 614.25

Now solve

If we simplify its really

4.35a+11.40b =614.25

I like multiply by a 100 to get rid of decimals

435a+1140b=61425

Here we can go 2 ways

We can isoalte a or b

im gonna isloate b

so it would be (61425-435a)/1140 =b

Now we can use that as a subsitube to find a

Now we can just do this

435a +1140(61425-435a)/1140 = 61425

Pop it through an algebra calculator (just search up math pa..Pa and copy paste it, edit if needed) and then you’d get your answer

Answer:

$950

Step-by-step explanation:

Take the original amount and subtract the 5% from the total then you have your new total.

Definition: A function is "even" when f(x) = f(−x) for all x.

Geometrically speaking, the graph face of an even function is symmetric with respect to the y-axis, meaning that its graph remains unchanged after reflection about the y-axis.

If point (6, 8) is one the points on the graph of f(x), then f(6)=8 and since function is even, you can state that f(-6)=f(6)=8. This means that point (-6,8) must also be a point on the graph. Geometrically it means that the output of a negative x-value and its opposite is the same.

Answer: correct choice is A.

It’s the average distance between each data value and the mean.

Answer:

one measure of variability; the average of how much the individual scores of a data set differ from the mean of the set. - abbreviation: MAD

Step-by-step explanation:

Answer:

28x^11000

Step-by-step explanation:

4x103(7x104)

Simplifies to:

28x11000

1.) Using the given values of x and β, we have [x]_β = [10, -1, 0]. 2) the change of basis matrix P_c←β is given by P_c←β = [[1, 0, 0], [0, 1, 0], [0, 0, 1]]. 3) they are the same. 4) P_β←c = [[1, 0, 0], [0, 1, 0], [0, 0, 1]].

In this problem, we are given three bases β, C, and e for the vector space R^3. We need to find the coordinate vectors of a given vector x with respect to the bases β and C. Additionally, we find the change of basis matrix P_c←β from β to C and the change of basis matrix P_β←c from C to β.

1. To find the coordinate vector [x]_β with respect to the basis β, we express x as a linear combination of the basis vectors in β. Using the given values of x and β, we have [x]_β = [10, -1, 0].

2. To find the change of basis matrix P_c←β from β to C, we need to express the basis vectors in β as linear combinations of the basis vectors in C. Using the given values of β and C, we can write the basis vectors in β as [1, 0, 0], [-1, 1, 0], and [0, -1, 1]. These vectors can be written as linear combinations of the basis vectors in C as [1, 0, 0] = 1*[1, 0, 0] + 0*[0, 1, 0] + 0*[0, 0, 1], [-1, 1, 0] = 0*[1, 0, 0] + 1*[0, 1, 0] + 0*[0, 0, 1], and [0, -1, 1] = 0*[1, 0, 0] + 0*[0, 1, 0] + 1*[0, 0, 1]. Therefore, the change of basis matrix P_c←β is given by P_c←β = [[1, 0, 0], [0, 1, 0], [0, 0, 1]].

3. To compute [x]_C using the change of basis matrix P_c←β, we multiply the matrix P_c←β with the coordinate vector [x]_β. We have [x]_C = P_c←β * [x]_β = [[1, 0, 0], [0, 1, 0], [0, 0, 1]] * [10, -1, 0] = [10, -1, 0]. Comparing this result with our answer in part (1), we can see that they are the same.

4. To find the change of basis matrix P_β←c from C to β, we need to find the inverse of P_c←β. Since P_c←β is an identity matrix, its inverse is also the identity matrix. Therefore, P_β←c = [[1, 0, 0], [0, 1, 0], [0, 0, 1]].

Thus, we have determined the coordinate vectors [x]_β and [x]_C of x with respect to the bases β and C, respectively. We also found the change of basis matrices P_c←β and P_β←c, which are both identity matrices.

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Answer:

B

Step-by-step explanation:

The slope of the linear function for plan B is of $0.17.

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

A linear function has an equation in the following format:

\(y = mx + b\)

In which

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

\(m = \frac{22.1 - 14.45}{45 - 0} = 0.17\)

The slope is of $0.17.

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The correct answer is a. Yes, every curve in the first family of curves is orthogonal to every curve in the second family of curves.

        To see why this is true, let’s consider the two families of curves x^2 + y^2 = ax and x^2 + y^2 = by. We can rewrite these equations in terms of y to get y = sqrt(ax - x^2) and y = sqrt(by - x^2). Taking the derivative of both equations with respect to x, we get:

        dy/dx = (a/2)(1/sqrt(ax - x^2)) - x/sqrt(ax - x^2) for the first family of curves and

        dy/dx = (b/2)(1/sqrt(by - x^2)) - x/sqrt(by - x^2) for the second family of curves.

                Now let’s consider a point (x0,y0) that lies on both a curve from the first family and a curve from the second family. This means that x0^2 + y0^2 = ax0 and x0^2 + y0^2 = by0. Solving these equations for a and b, we find that a = (x0^2 + y0^2)/x0 and b = (x0^2 + y0^2)/y0.

                 Substituting these values into our expressions for the derivatives above, we find that at the point (x0,y0), the slope of the tangent line to a curve from the first family is (1/2)(1/y0) - x0/y0 and the slope of the tangent line to a curve from the second family is (1/2)(1/x0) - y0/x0.

                 Two lines are perpendicular if and only if their slopes have a product of -1. In this case, we can see that at any point (x0,y0) that lies on both a curve from the first family and a curve from the second family, the product of their slopes is indeed -1.

          Therefore, every curve in one family is orthogonal to every curve in the other family.

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Answer:im so sorry these people wasted your time hun Answer:

2 : 9

Step-by-step explanation:

First find the total number

6+4+5+3 = 18

6th graders : total

4 : 18

Divide each side by 2

4/2: 18/2

2 : 9

there ya go!

The mass of the pencil is approximately 5.49 ounces.

To find the mass of the pencil, we can integrate the density function over the length of the pencil.

The density function is given by rho(x) = 5/x oz/in.

We want to find the mass of the pencil, so we integrate the density function from x = 2 (the starting point of the pencil) to x = 6 (the endpoint of the pencil).

The integral is ∫[2, 6] (5/x) dx.

Evaluating the integral, we have:

∫[2, 6] (5/x) dx = 5 ln(x) ∣[2, 6] = 5 ln(6) - 5 ln(2) = 5 (ln(6) - ln(2)).

Using the property of logarithms, we can simplify this to:

5 ln(6/2) = 5 ln(3) ≈ 5 (1.098) ≈ 5.49 oz.

The mass of the pencil is approximately 5.49 ounces.

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Therefore, the perimeter of the irregular shape is 34cm .

Whether it be a two-dimensional shape or a one-dimensional length, a perimeter is a closed path that contains, surrounds, or delineates it. The outermost border of an ellipse or circle is its circumference.

Here,

The perimeter of the irregular shape is

Given:

9 cm is the length of the below line and 4cm , 3cm and x is the length of the above line .

So x value is => 9 = 4 + 3+x

=> 9-7 = x

=>x= 2cm

and

thus we get all the length of the irregular shape

so adding =>

=> 4+2+3+2+3+6+5+9=  34 cm

Therefore, the perimeter of the irregular shape is 34cm .

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For system of equations are 2x+2y-6=0 and x=-4y+6 the values of x and y are 2 and 1 respectively.

The given system of equations are 2x+2y-6=0..(1)

x=-4y+6...(2)

Substitute equation (2) in equation (1)

2(-4y+6)+2y-6=0

-8y+12+2y-6=0

-6y+6=0

6y=6

Divide both sides by 6

y=1

Now substitute y value in equation 2

x=-4+6

x=2

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