I really need answer or I’mma flunk uh oh

The linear equation is 45x+50

Linear equation is the equation having the degree 1

Given that the charge per computer repair service  is $50

The charge per hour of work is $ 45

We need to show the linear equation that  expresses the total amount of money Charlie earns per computer is y

So , Let the number of hours be x

Therefore, the Charlie working hours charge will be 45x

The total amount of money Charlie earns per computer is y

Therefore the linear equation will be

y = 50+45x  

Where y = Total amount of money

x =  number of hours

Hence the linear equation is y = 45x+50

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The damping ratio is given by the formula:ζ = c/2sqrt(mk) = 2/5c)N/A because the motion is overdamped.

a) The position function y(t) for an object with mass, m = 1/2, that is attached to both a spring with spring constant k = 4 and a dashpot with damping constant c = 3 and is set in motion with x(0) = 2 and v(0) = 0 can be found using the following formula: (t) = A1e^(-t(3+sqrt(3))/6) + A2e^(-t(3-sqrt(3))/6) + 2

Where A1 and A2 are constants that depend on the initial conditions.

Here, y(0) = 2 and v(0) = 0 are given, so we can solve for A1 and A2 as follows:

y(0) = A1 + A2 + 2 ⇒ A1 + A2 = 0v(0) = -A1(3+sqrt(3))/6 - A2(3-sqrt(3))/6 + 0⇒ -A1(3+sqrt(3))/6 - A2(3-sqrt(3))/6 = 0

Solving the system of equations, we get A1 = -A2 = 1/2.

Substituting these values into the position function, we get:y(t) = (1/2)e^(-t(3+sqrt(3))/6) - (1/2)e^(-t(3-sqrt(3))/6) + 2b)The motion is underdamped because the damping ratio, ζ, is less than 1.

The damping ratio is given by the formula:ζ = c/2sqrt(mk) = 3/4sqrt(2)c)

The position function in the form Cetcos(bt - a) for underdamped motion is:

y(t) = e^(-t(3/4sqrt(2)))cos(t(1/4sqrt(2))) + 2

Therefore, substituting values in the formula, the position function in the form Cetcos(bt - a) is  y(t) = e^(-t(3/4sqrt(2)))cos(t(1/4sqrt(2))) + 2a)

The position function x(t) for an object with mass, m = 2, that is attached to both a spring with spring constant k = 40 and a dashpot with damping constant c = 16 and is set in motion with x(0) = 5 and v(0) = 4 can be found using the following formula:x(t) = A1e^(-t(4-sqrt(10))) + A2e^(-t(4+sqrt(10))) + 3

Where A1 and A2 are constants that depend on the initial conditions.

Here, x(0) = 5 and v(0) = 4 are given, so we can solve for A1 and A2 as follows:x(0) = A1 + A2 + 3 ⇒ A1 + A2 = 2v(0) = -A1(4-sqrt(10)) - A2(4+sqrt(10)) + 4⇒ -A1(4-sqrt(10)) - A2(4+sqrt(10)) = -12

Solving the system of equations, we get A1 = 2.898 and A2 = 0.102.

Substituting these values into the position function, we get:x(t) = 2.898e^(-t(4-sqrt(10))) + 0.102e^(-t(4+sqrt(10))) + 3b)

The motion is overdamped because the damping ratio, ζ, is greater than 1.

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The simplified form of the expression 1/5 divied by 2 as a fraction is 1/10.

Given the expression in the question;

1/5 divied by 2

1/5 ÷ 2

To simplify, multiply 1/2 by the reciprocal of 2

1/5 ÷ 2

1/5 × 1/2

Simplify

( 1 × 1 ) / ( 5 × 2 )

( 1 ) / ( 5 × 2 )

Multiply 5 and 2

( 1 ) / ( 10 )

1/10

Therefore, the simplified form is 1/10.

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Answer:

The right answer is C.

Step-by-step explanation:

The parent function is:

\(f(x)=x^3\)

If something is subtracted from variable \(x\) it means the graph shifted toward right and something is added to \(y\) value then the graph is shifted up.

\(f(x)=(x-8)^3\)

graph shifted toward right by \(8\) units right

\(f(x)=(x-8)^3+3\)

graph shifted toward right by \(3\) units up

Thus the new function is:

\(g(x)=(x-8)^3+3\)

The lateral surface area of a regular prism would be =100cm²

To calculate the lateral surface area of a prism the formula that should be used would be given below such as follows;

Lateral surface area of prism = perimeter of base×height

The base = perimeter of square = 4a

where;

a = side length = 2cm × 4 = 8cm

Height = 125 mm = 12.5cm

Lateral surface area of prism = 8×12.5 = 100cm²

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Answer:

The orginial angle is a right angle (however, the pair of angles would be classified as complementary angles); the value of x is 28.

Step-by-step explanation:

It's important to note that a right angle is always 90°.

90 - 56 = 34

Set up an equation to solve for x:

34 - 6 = x

34 - 6 = 28

28 = x

Now, check if the answer is correct.

Add up both angles' measurements:

56 + (28 + 6) = 90

Answer:

6.7

Step-by-step explanation:

The median of a data set is the "middle" number in it. To find it, we can cross the first data then the last data and make a pattern of it until we get to the last one or two data points.

However, we first have to rearrange them into order:

Now, we take the numbers out.

Therefore, the median is 6.7.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Step-by-step explanation:

Area =L×B

when a=60 inches ^2

b- 12 inches

L =?

60= L× 12

L= 60/12

L= 5

\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

Here we go ~

According to given figure,

\(\qquad \sf  \dashrightarrow \:x + 68 = 174\)

\(\qquad \sf  \dashrightarrow \:x = 174 - 68\)

\(\qquad \sf  \dashrightarrow \:x = 106 \degree\)

Answer:centroid

Step-by-step explanation:

Answer:Centroid I hope this helpful to you mark me brainlist if correct

Step-by-step explanation:

Hence, the correct statement is "The Centroid of a triangle is located 2/3 of the distance from each vertex to the midpoint of the opposite side."The centroid is the centre point of the object. The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians. The median is a line that joins the midpoint of a side and the opposite vertex of the triangleCentroid theorem: the distance between the centroid and its corresponding vertex is twice the distance between the barycenter and the midpoint of the opposite side. That is, the distance from the centroid to each vertex is 2/3 the length of each median. This is true for every triangleThe centroid of a triangle is the intersection of the three medians of the triangle (each median connecting a vertex with the midpoint of the opposite side).

Answer:

A) congruent

Step-by-step explanation:

because the shapes are the same and congruent but are flipped to trick you.

Answer:-3

Step-by-step explanation:

Answer:

..........................

Answer:

b(-10) = 6

Step-by-step explanation:

B(x)= |x+4|

Let x = -10

B(-10)= |-10+4|

            |-6|

Take the positive value

               6

Answer:

6

Step-by-step explanation:

|-10+4|

|-6|

Remove brackets

6

Answer:

C) 240ma

Step-by-step explanation:

Answer:

Step-by-step explanation:

The probability of a continuous random variable taking any specific value is always zero, so the statement p(x = 15) = 0.05 is false.

Answer:

3

Step-by-step explanation:

3 is not a factor of 16.

Is that a valid answer? lol

Hi there!

First of all, let's determine the factors of 16.

Remember, a factor is a number that a number can be evenly divided by.

Example: 5 is a factor of 10, because 10 can be evenly divided by 5.

So, the factors of 16 are:

1, 2, 4, 8, and 16.

Now, there's an infinite amount of numbers that are not factors of 16. Here are some of them:

3, 5,7,9, 10,11, 12, 13, 14, 15...

Hope it helps.

Feel free to ask if you have any doubts.

\(\bf{-MistySparkles^**^*\)

The expected value of the sampling distribution of p is 0.9.

A sampling distribution is a statistical probability distribution derived from a larger number of samples gathered from a certain population. The sampling distribution of a given population is the distribution of frequencies of a range of possible outcomes for a population statistic.

The sample size multiplied by the population mean yields the expected value of the sample total.

The anticipated value is calculated in statistics and probability analysis by multiplying each conceivable outcome by the likelihood that each outcome will occur and then adding all of those values.

In this case, the the proportion of people who order coffee with their dinner is 0.9. This is the expected value.

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Answer:

Step-by-step explanation:

Plug in 16 for x. (4-16) then the answer is -12

A) On Monday a driver purchased 18 gallons of gas for $61.38, then the price of gas per gallon on Monday was $3.41.

B) The next day the price of gas was $3.29 per gallon, the driver would have saved $2.82 if he waited until Tuesday to buy gas.

Part A: To find the price of gas per gallon on Monday, we need to determine the cost per unit of gas. To do this, we divide the total cost by the number of gallons. The formula is:

Price per gallon = Total cost ÷ Number of gallons

Plug in the given values:

Price per gallon = $61.38 ÷ 18 gallons

Perform the division:

Price per gallon = $3.41 per gallon

So the price of gas per gallon on Monday was $3.41.

Part B: To find the amount of money the driver would have saved if he waited until Tuesday to buy gas, we need to find the difference in price per gallon and then multiply that by the number of gallons purchased. The formula is:

Savings = (Price per gallon on Monday - Price per gallon on Tuesday) × Number of gallons

Plug in the given values:

Savings = ($3.41 per gallon - $3.29 per gallon) × 18 gallons

Perform the calculation:

Savings = $2.82

So the driver would have saved $2.82 if he waited until Tuesday to buy gas.

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The curvature formula is given by:Curvature = (2*pi*radius) / (2*pi*arc_length)

The curvature formula is used to calculate the curvature of a curve in a two-dimensional space. The formula states that the curvature is equal to the ratio of the radius of the curve to the arc length of the curve. This is expressed mathematically as Curvature = (2*pi*radius) / (2*pi*arc_length). To calculate the curvature, the radius of the curve must first be determined. Then, the arc length of the curve must be calculated. Finally, the arc length and the radius are plugged into the formula to calculate the curvature of the curve.

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Answer:

  3. $3511.31

  4. 24 months (2 years)

  5. about $9,069.57

Step-by-step explanation:

The attachments show the results from use of a time-value-of-money (TVM) app on a calculator with the given car loan values. Similar functions are available using a spreadsheet.

__

You want the future value of the loan after 14 monthly payments have been made. The balance is 3,511.31 after 14 months.

__

The number of payments required to bring the balance to zero is computed to be about 23.2553. It will take 24 months to pay off the loan. The last loan payment will not be the full amount.

__

The total amount paid is approximately the monthly payment multiplied by the required number of payments:

  $390 × 23.2553 ≈ $9,069.57

_____

Additional comment

The actual amount will depend on when in the last month the last payment is made. (Interest is generally charged on a daily basis when the payoff nears.)

The fourth attachment shows the balance after 23 payments is $99.23. The amount of interest charged for a full month on that amount is ...

  $99.23×0.065×(1/12) = $0.54

So, the last payment due could be ...

  $99.23 +0.54 = $99.77

The total of 23 regular payments and a last payment of $99.77 is ...

  23×$390 +99.77 = $9069.77

If you want accuracy to the penny, it is best achieved by creating an amortization schedule, in which interest charges are rounded to the nearest cent each month.

a) The geometric and algebraic multiplicity of each eigenvalue of matrix

\( A = \begin{pmatrix} 3& 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 3\\\end{pmatrix}\)

are one and three respectively.

b) The geometric and algebric multiplicity \( A = \begin{pmatrix} 3& 0 & 0 \\ 1 & 3 & 0 \\ 1& 1 & 3\\\end{pmatrix} \) are equal to 1 and 3.

c) The geometric and algebric multiplicity

\( A = \begin{pmatrix} 3& 0 & 0 \\1 & 3 & 0 \\ 1 & 0 & 3\\\end{pmatrix}\) are equal to 1 and 3.

The algebraic multiplicity of eigenvalue λ is equals to the number of times λ appears as a root of the characteristic polynomial. Dimensions of the λ eigenspace equivalently represents the geometric multiplicity of eigenvalue λ. It is calculated by the dimension of ker(A − λIn). Generally, relation between both is almu(λ) ≥ gemu(λ) for every eigenvalue λ. We have a matrix \( A = \begin{pmatrix} 3& 0 & 0 \\0 & 3 & 0 \\0 & 0 & 3\\ \end{pmatrix}\) the characteristic equation for matrix A is \(\lambda I - A = 0\)

but for determining the algabraic multiplicity the equation is written as

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

\(det(\lambda \begin{pmatrix} 1& 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\\ \end{pmatrix} - \begin{pmatrix} 3& 0 & 0 \\0 & 3 & 0 \\0 & 0 & 3\\\end{pmatrix})= 0 \)

\(det( \begin{pmatrix} 3 - \lambda& 0 & 0 \\0 & 3 - \lambda & 0 \\0 & 0 & 3 - \lambda\\\end{pmatrix}) = 0\)

=> ( 3 -λ)³ = 0

=>λ= 3,3,3

So, algebraic multiplicity value is 3.

Now, for geometmric multiplicity, we have to determine the eigen vector corresponding to eigen value, lambda = 3. Let \(\begin{pmatrix} x_1 \\x_2 \\x_3\\\end{pmatrix}\)

be the eigen vector for λ = 3. Now solve the following equation,

\(\begin{pmatrix} 3 - \lambda& 0 & 0 \\0 & 3 - \lambda & 0 \\0 & 0 & 3 - \lambda\\\end{pmatrix} \begin{pmatrix} x_1 \\x_2 \\x_3\\\end{pmatrix} = \begin{pmatrix}0 \\0 \\0\\\end{pmatrix}\)

\(\begin{pmatrix} 3 - 3 & 0 & 0 \\ 0 & 3 - 3& 0 \\0 & 0 & 3 - 3\\ \end{pmatrix} \begin{pmatrix} x_1 \\x_2 \\x_3\\\end{pmatrix} = \begin{pmatrix} 0 \\0 \\0\\\end{pmatrix}\)

=> x₁ = x₂ = x₃ = 0, so the only one vetor exist that is zero vector so, the geometric multiplicity is 1. With the similar process we can determine the algebraic and geometric multiplicity for other matrix. So,

b) The algebraic mutiplicity for matrix

\( A = \begin{pmatrix} 3& 0 & 0 \\ 1 & 3 & 0 \\ 1 & 1 & 3\\ \end{pmatrix}\)

is 3 ( for λ= 3,3,3 ) and geomtric mutiplicity is 1 ( since, one eigen vector ( 1,-1, 0)).

c) The algebraic multiplicity for matrix

\( A = \begin{pmatrix} 3& 0 & 0 \\1 & 3 & 0 \\1 & 0 & 3\\ \end{pmatrix}\)

is 3 ( for λ= 3,3,3 ) and geomtric mutiplicity is 1 ( since, one eigen vector ( 1,0, 0)).

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Answer:

\(c=85\)

Step-by-step explanation:

\(c=180-a-b\) where \(a=62\) and \(b=33\)

Step 1.  Substitute a for 62 and b for 33

\(c=180-(62)-(33)\)

Step 2. Subtract \((180 - 62)\)

\(c=118-33\)

Step 3. Subtract (again)

\(c=85\)

so c = 85

The probability of both the socks and the t-shirt being white is 21/44.

The probability of selecting a white pair of socks from the drawer is 6/11. The probability of selecting a white t-shirt from the drawer is 7/8. To find the probability of both events occurring together, we multiply the two probabilities:
P(white socks and white t-shirt) = (6/11) * (7/8) = 0.4773
Therefore, the probability of randomly selecting one pair of white socks and one white t-shirt from the drawer is approximately 0.4773 or 47.73%.
Hi there! To find the probability that both the socks and the t-shirt you randomly select are white, you'll need to multiply the individual probabilities for each item being white.
For the socks, there are 6 white pairs out of a total of 11 pairs. So, the probability of selecting a white pair is 6/11.
For the t-shirts, there are 7 white ones out of a total of 8. So, the probability of selecting a white t-shirt is 7/8.
Now, multiply these probabilities together: (6/11) * (7/8) = 42/88. Simplify the fraction to get 21/44.
So, the probability of both the socks and the t-shirt being white is 21/44.

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The cοrrect answer is a) There may οr may nοt be any causal relatiοnship between x and y.

A linear relatiοnship is a relatiοnship which can be represented by a straight line.

When twο variables have a strοng linear relatiοnship, it indicates a strοng statistical assοciatiοn οr cοrrelatiοn between them. Hοwever, cοrrelatiοn dοes nοt imply causatiοn.

It means that changes in οne variable are accοmpanied by changes in the οther, but it dοes nοt establish a cause-and-effect relatiοnship between them.

There cοuld be οther factοrs οr variables at play that are respοnsible fοr the οbserved relatiοnship.

Therefοre, οptiοn a is the cοrrect answer.

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