(1 point) Find an equation for the linear function g(x) which is perpendicular to the line 5x−2y=6 and intersects the line 5x−2y=6 at x=8.
g(x)=

Answer: 70% is percentage increase

Step-by-step explanation:

230-140/140 x 100 =90/140 x100 =0.7 x 100=70

Answer:

\(\boxed{\tt v < 6.8}\)

Step-by-step explanation:

\(\tt 0.5v+0.06 < 3.46\)

Multiply both sides by 100:-

\(\tt 0.5v\times\:100+0.06\times\:100 < 3.46\times\:100\)

\(\tt 50v+6 < 346\)

Subtract 6 from both sides:-

\(\tt 50v < 340\)

Divide both sides by 50:-

\(\tt \cfrac{50v}{50} < \cfrac{340}{50}\)

\(\tt v < \cfrac{34}{5}\)

Or

\(\tt v < 6.8\)

Therefore, your answer is v < 6.8!!! :)

______________________

Hope this helps!

Have a great day!

To change a fraction into a decimal do you, divide the denominator by the numerator.​ FALSE. You should divide the numerator by the denominator (the top by the bottom).

Answer:

No.

You divide the numerator by the denominator.

Step-by-step explanation:

No.

You divide the numerator by the denominator.

For example, 8/2 = 8 divided by 2 = 4

1/5 = 1 divided by 5 = 0.2

The probability of getting the color yellow when spinning a spinner with three equal sections colored red, white, and blue is 0%. Therefore, the correct answer is d) 0%.

Since the spinner has three equal sections colored red, white, and blue, and there is no section labeled yellow, it is not possible to obtain the color yellow when spinning the spinner. Each section has an equal chance of being landed on, but none of them represent the color yellow. Therefore, the probability of getting the color yellow is 0%. It's important to note that probability represents the likelihood of an event occurring, and in this case, the event of landing on the color yellow is not possible given the given information about the spinner. Therefore, the probability is 0%.

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Answer:

-2=3x

Step-by-step explanation:

Answer:

-2=3x

Step-by-step explanation:

Answer:

he will have 29 nickles

Step-by-step explanation:

I just solved it on paper, hope it helps and if it's right

The matrix A is given by A = [X 0; 2 0]. The task is to find the eigenvalues and corresponding eigenvectors of A, determine an expression for An for any positive integer n, and find an expression for the matrix A" defined by n! An.

To find the eigenvalues and corresponding eigenvectors of A, we solve the characteristic equation det(A - λI) = 0, where λ is the eigenvalue and I am the identity matrix.

The characteristic equation for A is:

|X-λ 0 |

|2 -λ| = 0

Expanding the determinant and solving for λ, we get two eigenvalues:

λ₁ = X and λ₂ = -X.To find the corresponding eigenvectors, we substitute each eigenvalue back into the equation (A - λI) * v = 0, where v is the eigenvector.

For λ₁ = X:

|X-X 0 |

|2 -X| * v₁ = 0

Simplifying, we get the equation -2v₁ + 2Xv₂ = 0, where v₂ is a free variable. Therefore, the eigenvector corresponding to λ₁ = X is v₁ = [1, 2X].

For λ₂ = -X:

|X+X 0 |

|2 X| * v₂ = 0

Simplifying, we get the equation 2v₃ + 2Xv₄ = 0, where v₄ is a free variable. Thus, the eigenvector corresponding to λ₂ = -X is v₂ = [1, -X].To find an expression for An for any positive integer n, we can diagonalize matrix A. As we found earlier, A has two distinct eigenvalues X and -X. Diagonalizing A, we express it as A = PDP⁻¹, where D is the diagonal matrix containing the eigenvalues and P is the matrix of corresponding eigenvectors.

Since A has two eigenvalues, we have:

D = |X 0|

|0 -X|

P = |1 1 |

|2X -X|

Therefore, An = P Dⁿ P⁻¹. Substituting the values of D and P, we can find the expression for An. Finally, to find an expression for the matrix A" defined by n! An, we multiply the matrix An by n!.

A" = n! An

Substituting the expression for An, we get:

A" = n! P Dⁿ P⁻¹

Here, n! can be multiplied by the diagonal elements of Dⁿ, resulting in:

A" = |n!Xⁿ 0 |

|0 (-n! X)ⁿ|

In summary, the eigenvalues of matrix A are X and -X, with corresponding eigenvectors [1, 2X] and [1, -X]. An expression for An is obtained by diagonalizing matrix A and raising the diagonal matrix D to the power of n. The matrix A" is defined by n! An is given by |n! Xⁿ 0 | |0 (-n!X)ⁿ|.

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Given:

The figures of triangles and their mid segments.

To find:

The values of n.

Solution:

Mid-segment theorem: According to this theorem, mid segment of the triangle is a line segment that bisect the two sides of the triangle and parallel to third side, The measure of mid-segment is half of the parallel side.

11.

It is given that:

Length of mid-segment = n+8

Length of parallel side = 6n

Using mid-segment theorem, we get

\(n+8=\dfrac{1}{2}(6n)\)

\(n+8=3n\)

\(8=3n-n\)

\(8=2n\)

Divide both side by 2.

\(\dfrac{8}{2}=n\)

\(4=n\)

Therefore, the value of n is equal to 4.

12.

It is given that:

Length of mid-segment = 5n

Length of parallel side = 8n+10

Using mid-segment theorem, we get

\(5n=\dfrac{1}{2}(8n+10)\)

\(5n=4n+5\)

\(5n-4n=5\)

\(n=5\)

Therefore, the value of n is equal to 5.

From the steps Simon used in solving the equation, the property he applied to get to step 4 from step 3 is: A. addition property of equality.

The addition property of equality states that to balance an equation, whatever value we add to one side of an equation must be added also from the other side of the equation.

In step 3, we have the following equation:

-8x - 42 = -22

Simon applied the addition property of equality by adding 42 to both sides of the equation to get -8x = 20 in step 4.

-8x - 42 + 42 = -22 + 42

-8x = 20

Therefore,  from the steps Simon used in solving the equation, the property he applied to get to step 4 from step 3 is: A. addition property of equality.

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Aaron's taxable income is negative (-$10,100), it means that he does not have any taxable income.

To determine the amount of taxable income for Aaron Rentz in 2020, we need to consider his wages, interest income, and any deductions or credits he may be eligible for.

From the given information, Aaron has $900 of wages and $1,400 of interest income.

In 2020, the standard deduction for a single individual was $12,400. Since Aaron is a qualifying child of his parents, he may not be able to claim his own personal exemption.

To calculate Aaron's taxable income, we subtract the standard deduction from his total income:

Taxable Income = Total Income - Standard Deduction

Taxable Income = $900 + $1,400 - $12,400

Taxable Income = $2,300 - $12,400

Taxable Income = -$10,100

Since Aaron's taxable income is negative (-$10,100), it means that he does not have any taxable income.

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From the circle with center A, DE and CF are diameter while FA and EA are radius.

A circle is the locus of a point such that the distance from the fixed point known as the center is constant.

A segment is a line that touches two points on the edge of a circle. Diameter is a line segment that passes the center of the circle while the radius is half of the diameter.

From the circle with center A, DE and CF are diameter while FA and EA are radius.

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Answer:

DE=diamter

FA=Radious

AC=Radious

CF=Diameter

EA=Radious

Step-by-step explanation:

All correct i took test

Answer:

hope it helps

Step-by-step explanation:

I hope u can understand

Answer:

the first answer is no

the second one is square

sorry if it is wrong

The length of the vector function F(t) over the interval -6 ≤ t ≤ 8 is  D) L = 14√56.

The length of the vector function F(t) = <3 - 4t, 6t, -(9 + 2t)> from -6 ≤ t ≤ 8, we need to calculate the integral of the magnitude of the derivative of F(t) with respect to t over the given interval.

The magnitude of a vector v = <x, y, z> is given by ||v|| = √(x² + y² + z²).

First, let's find the derivative of F(t):

F'(t) = <-4, 6, -2>

Next, let's find the magnitude of F'(t):

||F'(t)|| = √((-4)² + 6² + (-2)²)

= √(16 + 36 + 4)

= √56

Now, we can calculate the length of F(t) over the interval -6 ≤ t ≤ 8 by integrating ||F'(t)|| with respect to t:

L = ∫(√56) dt

= √56 ∫dt

= √56 × t + C

Evaluating the integral over the given interval:

L = √56 × t + C| (-6)⁸

= √56 × (8 - (-6))

= √56 × 14

= 14√56

Therefore, the length of the vector function F(t) over the interval -6 ≤ t ≤ 8 is 14√56.

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The area of the parallelogram with vertices a(-2, 5), b(0, 8), c(4, 6), and d(2, 3) is 14 square units.To find the area of a parallelogram with the given vertices, we can use the formula:

Area = |(x1y2 + x2y3 + x3y4 + x4y1) - (y1x2 + y2x3 + y3x4 + y4x1)| / 2

Let's calculate the area using the provided vertices:

a(-2, 5), b(0, 8), c(4, 6), and d(2, 3).

Substituting the coordinates into the formula:

Area = |((-2)(8) + (0)(6) + (4)(3) + (2)(5)) - ((5)(0) + (8)(4) + (6)(2) + (3)(-2))| / 2

Simplifying:

Area = |(-16 + 0 + 12 + 10) - (0 + 32 + 12 - 6)| / 2

    = |6 - 34| / 2

    = |-28| / 2

    = 28 / 2

    = 14

Therefore, the area of the parallelogram with vertices a(-2, 5), b(0, 8), c(4, 6), and d(2, 3) is 14 square units.

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The y-intercept of the line is -4.

The circles have centers at (2,0) and (5,0) with radii 2 and 1, respectively. The tangent line touches the circles at points in the first quadrant. Let the tangent points be A and B for the circles with radii 2 and 1, respectively.

Since the tangent line touches the circles at points A and B, the radii connecting the centers to these points are perpendicular to the tangent line. Thus, the triangle formed by the centers of the two circles and the tangent points is a right triangle with the right angle at point A.

Let C be the intersection of the tangent line and the y-axis (y-intercept). The slope of line AC is (0 - 2) / (2 - 0) = -1. Since line AC is perpendicular to the tangent line, the slope of the tangent line is the negative reciprocal of -1, which is 1.

Now we can use the point-slope form of a line, y - y1 = m(x - x1), using point B (5,1) as (x1, y1) and m = 1 (slope). So, y - 1 = 1(x - 5). Simplifying, we get y = x - 4.

The y-intercept occurs when x = 0, so plugging in x = 0, we have y = 0 - 4 = -4.

Therefore, the y-intercept of the line is -4.

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The y-intercept of the line that is tangent to two circles with centers at points (2,0) and (5,0) and with radii of 2 and 1 respectively is approximately 4.6.

The line tangent to both circles will form a right triangle with the centers of the two circles. The distance between the centers of the two circles (i.e., the base of the triangle) is 3 units (from point (2,0) to point (5,0)).

Since the tangent point in the first quadrant of the circle of radius 2 is 2 units above the x-axis, the y-intercept of the tangent line is (2+2.6)=4.6.

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The smallest value of prime number, p used as counterexample to the statement p² + p + 1 is p = 7

Counterexample refers to instance that will make a statement false hence we look for values that will not hold true with the statement:

p² + p + 1

Where p = 2

2² + 2 + 1 = 7

Where p = 3

3² + 3 + 1 = 13

Where p = 5

5² + 5 + 1 = 31

Where p = 7

7² + 7 + 1 = 57

57 is not a prime number and hence the counterexample

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The sample proportion of persons with credit card debts of further than $2,000 has a distribution that is roughly normal;

μ = 0.27 and σ = 0.022.

According to a research conducted in one town, the percentage of persons living there had credit card debt of at least $2,000:

p = 27% = 0.27.

An adult sample from the entire city was gathered: n = 400 adults.

The following two requirements should be used to determine the whether sample is adequate before obtaining a sampling distribution of the probability value p:

       400 x 0.27  = 108

       108 ≥ 10

And,

      400(1 - 0.27)  ≥ 10

      292  ≥ 10

We know that the as being p is nearly normally distributed the by suing  "Central limit theorem."

Mean of a sample proportion

μ = P = 0.27

The standard deviation's sample proportion P:

σ = √(p(1 - p)/n

σ = √(0.27(1 - 0.27)/400

σ = 0.022

Since the sample proportion of persons with credit card debts of further than $2,000 has a distribution that is roughly normal;

μ = 0.27 and σ = 0.022.

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Answer:

with what?

Step-by-step explanation:

Answer:

I think is false

Step-by-step explanation:

The domain and range are the same identity function

are both set with real numbers

True the range is considered into the input of the function

Answer:

(-12) ÷ (-3 +16 ÷ 8)³ + 2= 14

Step-by-step explanation:

Answer:

i am not positive on this but i think it might be 14

Step-by-step explanation:

no need

Answer:

y = 1x-5

Step-by-step explanation:

See attached worksheet.

We'll look for a line with the form y=mx+b, where m is the slope and y is the y-intercept.

Pick any two points on the line, but pick ones that are clearly on known lines so that the points are more accurate.  Pick one at the x=o point, if it can be read clearly.  The vaue of y at x=0 is the y-intercept.

Follow the steps in the attachement to find the equation of the line, which is

  y=1x-5

The value of vector 6v is equal to 30i + 24j and value of vector -3v is equal to  -15i - 12j.

Scalar multiplication of a vector written in terms of i and j means multiplying a vector by a scalar value, which scales the vector's magnitude while retaining its direction. To perform scalar multiplication of a vector, we simply multiply each component of the vector by the scalar value.

For example, suppose we have a vector v = 5i + 4j. To find 6v, we multiply each component of v by 6 to get 6v = (65)i + (64)j = 30i + 24j.

Similarly, to find -3v, we multiply each component of v by -3 to get -3v = (-35)i + (-34)j = -15i - 12j.

In both cases, we are scaling the original vector v by a factor of 6 and -3, respectively. The resulting vectors have the same direction as v, but their magnitudes are scaled accordingly.

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The option B is correct. APR is important tool because It allows consumers to compare the full cost of loans from different lenders.

According to the statement

we have to explain all about the APR and tel that why it is important for the consumers.

So, For this purpose,

We know that the

The term annual percentage rate of charge, corresponding sometimes to a nominal APR and sometimes to an effective APR.

It is the interest rate for a whole year, applied on the loan etc. It is a finance charge expressed as an annual rate

APR is the important tool for the consumers because of some reasons which are written below:

APR is important because it can give you a good idea of how much you'll pay to take out a loan.

APR helps a customer determine the true cost of the loan, allowing them to compare many loans and choose the most advantageous one.

So, The option B is correct. APR is important tool because It allows consumers to compare the full cost of loans from different lenders.

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Answer:

90°

Step-by-step explanation:

Angle C = arccos((84²+13²-85²)/(2×84×13))

= arccos(0/2184)

= arccos(0)

= 90°

Answered by GAUTHMATH

(1) 6/36

(2) 30/36

There are six possible outcomes. The probability of obtaining any side/number is 1/6,

Then for 2 dies it’s 2/36

Total possible outcomes=total numbers of the first die (6)× total numbers of the second die(6)= 36

The outcomes of rolling two dice are below:

 1 2 3 4 5 6

1 (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

2 (2, 1) (2, 2)(2, 3)(2, 4)(2, 5)(2, 6)

3 (3, 1) (3, 2)(3, 3)(3, 4)(3, 5)(3, 6)

4 (4, 1) (4, 2)(4, 3)(4, 4)(4, 5)(4, 6)

5 (5, 1) (5, 2)(5, 3)(5, 4)(5, 5)(5, 6)

6 (6, 1) (6, 2)(6, 3)(6, 4)(6, 5)(6, 6)

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Answer:

k = 6

Step-by-step explanation:

What you do is use inverse operations

15 + 3 =18

18 divided by 3 = 6

k = 6

3(6) - 3 = 15

Answer:

-3=15k-3k

-3=12k

-3÷12=12k÷12

k=-3 over 12