Write the equation of a line that is perpendicular to y=1/2x-6 that passes through the point (6,4)

Answer:

This is a normal distribution and we can use the standard score to compute for probabilities. We compute the standard score of the given.

Step-by-step explanation:

z = (x - mu)/sd

z = (2625 - 2600)/50 = 25/50 = 0.5.

Consulting the z-table, P(z <= 0.5) = 0.6915.

P(z > 0.5) = 1 - P(z <= 0.5) = 1 - 0.6915 = 0.3085.

I hope this helped! <3

ANSWER

6

EXPLANATION

We have the ratio table given.

Let the missing number be x.

From the table, we see that the ratio is:

3 : 15 = x : 30 = 18 : 90 = 24 : 120

So, we can pick one group of ratio to compare with the group of the missing number.

That is:

So, the missing number is 6.

a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:

\(x' = Ax\)

where x is a vector and A is a square matrix.

b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.

If all eigenvalues have negative real parts, the system is stable.

If at least one eigenvalue has a zero real part, the system is neutrally stable.

If at least one eigenvalue has a positive real part, the system is unstable.

c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation

\(det(A - \lambda I) = 0\),

where λ is the eigenvalue and I is the identity matrix.

By solving this equation, we obtain the eigenvalues.

Substituting each eigenvalue into the equation

\((A - \lambda I)v = 0\),

where v is the eigenvector, we can solve for the eigenvectors.

d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:

\(A = PDP^{(-1)}\)

where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.

To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.

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Answer:

38 i think i hope this helps

Answer:

\(8( - 1) {}^{4} - 3( - 1) - 7 = ( - 8) {}^{4} + 3 - 7 = - 4096 + 3 - 7 = - 4100\)

-4100

Answer:

constant is - 19

Step-by-step explanation:

the constant is the term in an expression with no variable attached to it.

12r + \(\frac{r}{2}\) - 19

the only term without the variable r attached to it is - 19

then the constant term is - 19

Answer:

Intersecting (fourth answer choice)

Step-by-step explanation:

First, let's convert both lines to slope-intercept form, whose general equation is y = mx + b, where

Converting y - 3x = 4x to slope-intercept form:

(y - 3x = 4x) + 3x

y = 7x

Thus, the slope of this line is 7 and the y-intercept is 0.

Converting 6 - 2y = 8x to slope-intercept form:

(6 - 2y = 8x) - 6

(-2y = 8x - 6) / -2

y = -4x + 3

Thus, the slope of this line is -4 and the y-intercept is 3.

Checking if y = 7x and y = -4x + 3 are perpendicular lines:

We can show this in the following formula:

m2 = -1 / m1, where

Thus, we only have to plug in one of the slopes for m1.  Let's do -4.  

m2 = -1 / -4

m2 = 1/4

Thus, the slopes 7 and -4 are not negative reciprocals of each other so the two lines are not perpendicular.

 Checking if y = 7x and y = -4x + 3 are parallel lines:

The slopes of parallel lines are equal to each other.

Because 7 and -4 are not equal, the two lines are not parallel.

Checking if the lines intersect:

Method to solve the system:  Elimination:

We can multiply the first equation by -1 and keep the second equation the same, which will allow us to:

-1 (y = 7x)

-y = -7x

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

    -y = -7x

+

    y = -4x + 3

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

(0 = -11x + 3) - 3

(-3 = -11x) / 11

3/11 = x

Now we can plug in 3/11 for x in y = 7x to find y:

y = 7(3/11)

y = 21/11

Thus, x = 3/11 and y = 21/11

We can check our answers by plugging in 3/11 for x 21/11 for y in both y = 7x and y = -4x + 3.  If we get the same answer on both sides of the equation for both equations, the lines intersect:

Checking solutions (x = 3/11 and y = 21/11) for y = 7x:

21/11 = 7(3/11)

21/11 = 21/11

Checking solutions (x = 3/11 and y = 21/11) for y = -4x + 3:

21/11 = -4(3/11) + 3

21/11 = -12/11 + (3 * 11/11)

21/11 = -12/11 + 33/11

21/11 = 21/11

Thus, the lines y = 3x = 4x and 6 - 2y = 8x are intersecting lines (the first answer choice).

This also means that lines are not skew since lines had to be neither perpendicular nor parallel nor intersecting to be skew.

The slopes of two parallel lines are the same, while the slopes of two perpendicular lines are the opposite reciprocals of each other. Each line has infinitely many lines that are parallel to it and infinitely many lines that are perpendicular to it.

P.S hopes this helps

240 because i am smart and also nice pencil

Step-by-step explanation:

Answer:-13 I think

Step-by-step explanation:4(-3)=-12

-12-1= -13

Answer:

A = 201.0619298 cm^2

Step-by-step explanation:

The area of a circle is given by

A  = pi r^2

A = pi ( 8) ^2

A = 64 pi

Letting pi = pi button

A = 201.0619298 cm^2

Answer:

Step-by-step explanation:

Area of a circle is πr²

where r is the radius

From the question r = 8cm

So the area of the circle is

π(8)²

= 64π

= 201.061

Hope this helps you

Answer:

The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.

20.49 trillion is 412.25% larger than 4.00 trillion.

To calculate the percentage increase of a value from an initial value to a final value, you can use the following formula:

increase in percentage = ((final value - initial value) / initial value) x 100%

Percentage increase is useful in a variety of contexts, including: Finance, Sales, Economics, Science, Education. Percentage increase is a useful tool for measuring growth or change over time and comparing different values.

To find the percentage increase, we first need to calculate the difference between the two numbers:

20.49 trillion - 4.00 trillion = 16.49 trillion

Next, we can divide the difference by the original amount (4.00 trillion) and multiply by 100 to get the percentage increase:

(16.49 trillion / 4.00 trillion) * 100 = 412.25%

Therefore, 20.49 trillion is 412.25% larger than 4.00 trillion.

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A: (f ÷ g)(x) = (3.6)⁻²ˣ⁺¹ is the solution of the function.

Functions are relationships that exist between a set of inputs and outputs. A function is an association of inputs, where each input is directly linked to one or more outputs. Range, codomain, and domain are all attributes of each function.

The given functions are:

f(x) = (3.6)ˣ⁺²

And g(x) = (3.6)³ˣ⁺¹

To find (f ÷ g)(x):

We take division of f(x) by g(x).

(f ÷ g)(x) = f(x) ÷ g(x)

(f ÷ g)(x) = (3.6)ˣ⁺² ÷  (3.6)³ˣ⁺¹

(f ÷ g)(x) = (3.6)ˣ⁺² ÷  (3.6)³ˣ⁺¹

(f ÷ g)(x) = (3.6)ˣ⁺² / (3.6)³ˣ⁺¹

Simplifying,

(f ÷ g)(x) = (3.6)ˣ (3.6)² / (3.6)³ˣ (3.6)¹

(f ÷ g)(x) = (3.6)ˣ⁻³ˣ (3.6)

(f ÷ g)(x) = (3.6)⁻²ˣ (3.6)

(f ÷ g)(x) = (3.6)⁻²ˣ⁺¹

Therefore, the answer is A:  (f ÷ g)(x) = (3.6)⁻²ˣ⁺¹

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Answer:

Step-by-step explanation:

Let \(x\) be the total points on the quiz, then

\(\frac{60}{100}\) × \(x\) = 15

\(60x=1500\) (multiplied both sides by 100)

\(x=25\) (divided both sides by 60)

So there were 25 points on the quiz

Answer:

[a]. check attachment.

[b]. It can not be said that the difference is ascribed to chance as P-value = 0.001 which is less than <<0.05. That is  P-value = 0.001 <<0.05.

Step-by-step explanation:

Without mincing words let's dive straight into the solution to the question above.

[a]. The drawing showing the histogram of bacterial endotoxin levels is given in the attached picture.

KINDLY NOTE: The data is right-skewed.

[b].  ALLERGIC             MEAN        SE MEAN         STDEV           N

      FALSE                     1510             251                  1789            251

        TRUE                    530              109                 343               10

False - true = difference in a.

Hence, 80 = estimated difference.

For the difference, 95% CI = (434, 1527).

DF = 58, P-value = 0.001, and the T value = 3.59.

Therefore, It can not be said that the difference is ascribed to chance as P-value = 0.001 which is less than <<0.05. That is  P-value = 0.001 <<0.05.

answer: 77

Step-by-step explanation:

7×11=77

sorry if I'm wrong

Answer:

fijatebie nl aperguntaa

Step-by-step explanation:

Answer:
Jamie = £8.40

Paul = £5.

Step-by-step explanation:

Let J be Jamie's amount and P be Paul's amount.

We know that J + P = 13.40, and that J = P + 3.40.

We can substitute the second equation into the first equation to solve for P:

J + P = 13.40

J = P + 3.40

Substituting the second equation into the first equation:

(P + 3.40) + P = 13.40

Combining like terms:

2P + 3.40 = 13.40

Subtracting 3.40 from both sides:

2P = 10

Dividing both sides by 2:

P = 5

Now that we know Paul has £5, we can substitute that value back into one of the original equations to find Jamie's amount:

J = P + 3.40

J = 5 + 3.40

J = 8.40

So, Jamie has £8.40 and Paul has £5.

If each large truck $70,000. Past experience shows that they need twice as many vans as small trucks. The number of each type of vehicle they can buy is; Small truck 80, Commercial van 160, Large van 80.

Since the company intends to purchase 320 vehicle, Let write this equation:

C + S + L = 320 (Eq. 1)

Total cost of the vehicles:

25C + 80S +70L = 16,000 (Eq. 2)  (Divided by 1000 to keep the numbers small)

Number of commercial vans is twice the number of small trucks,

C = 2S

Substituting 2S in place of C in Eq. 1 and Eq. 2

2S + S + L = 320

25(2S) +80S +70L = 16,000

130S + 70L = 16,000

Multiplying the first of those equations by 70

210S + 70L = 22,400

130S + 70L = 16,000

Subtracting the second equation from the first:

80S = 6400

Divide both  side by 80S

S = 6400/80

S = 80 (Small truck)

Then:

C = 2S

C= 2(80)

C= 160 (Commercial van)

So,

C + S + L = 320

160 + 80 + L = 320

L = 320 - 160 - 80

L =80 (Large van)

Therefore  the number of each type of vehicle they can buy is; Small truck 80, Commercial van 160, Large van 80.

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Answer: a>-13

Step-by-step explanation:

Answer:

a= - 13 .......

.......

.......

.....

.....

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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The length of the missing side is √69

The triangle is a right triangle with the following parameters

Hypotenuse = 13

Leg = 10

Represent the missing side with x

By the Pythagoras theorem, we have

x = √Hypotenuse² - Leg²

This gives

x = √13² - 10²

Evaluate

x = √69

Hence, the length of the missing side is √69

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Answer:

x = -1 , y = -1

Step-by-step explanation:

We have system of equations and are asked to solve them.

We are looking for x and y, since both equations start with y, we can plug one to the other.

y = 5x + 4

y = 7x + 6

5x + 4 = 7x + 6

Now isolate x byitself to get x :

5x + 4 = 7x + 6

Subtract 4 from both sides :

5x = 7x + 2

Subtract 7x from both sides :

-2x = 2

Divide -2 by both sides :

x = -1

Now that we know what x is, we can substitute it into the equations seapraretly.

y = 5(-1) + 4

y = 7(-1) + 4

y = -5 + 4

y = -7 + 6

-5 + 4

-1

-7 + 6

-1

Therefore, both x and y equal -1

Step-by-step explanation:

5x4=20

By solving a system of equations, we will see that 7 liters of fruit juice are needed.

Let's define the variables:

x = liters of fruit juice.

y = liters of fruit drink.

We know that the mixture has 10 liters, then:

x + y = 10

And the concentration of these 10 liters is 8%, then the concentration equation is:

x*0.05 + y*0.15 = 10*0.08

Then we have a system of equations:

x*0.05 + y*0.15 = 10*0.08

x + y = 10

Isolating y on the second equation, we get:

y = 10 - x

Replacing that in the first equation we get:

x*0.05 + (10 - x)*0.15 = 10*0.08

x*0.05 + 1.5 - x*0.15 = 0.8

-x*0.10 = 0.8 - 1.5

x*0.10 = 0.07

x = 0.7/0.10 = 7

So 7 liters are used.

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Answer:

c=3

m=5

Step-by-step explanation:

c=3 ( c is the intersection with y intercept)

m=5 (Through (y2-y1)/(x2-x1))

Answer:

the first one is c

Step-by-step explanation:

i did just did it

Answer:

75

Step-by-step explanation:

f(4) means to use 4 in place of x.

f(x) = 3(5)^(x-2)

fill in 4 for

f(4) = 3(5)^(4-2)

do the 4-2 subtraction first

f(4) = 3(5)^2

do the 5 to the 2nd power next.

f(4) = 3(25)

last, multiply.

f(4) = 75

This is just following the typical order of operations.

Answer:

$4500

Step-by-step explanation:

Find out 25% of $6000. 25/100 × 6000 = 1500

6000 - 1500 = 4500