The vertices of ABC are A(5. - 3), B(-5,- 1), and C(1,1). For the translation below, give the vertices of AA'B'C'. T(1,2) (ABC) The vertices of AA'B'C' are A' B' and C (Simplify your answers. Type ordered pairs.)

Answer:

Step-by-step explanation:

a) The formula for the regression function is:

Maintenance Cost = 54.7757 + 120.689 x Age of Car

b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.

c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:

Y = a + bX ± tα/2 * SE

where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.

Plugging in the values, we get:

Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442

Y = 923.167 ± 26.010

Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.

d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.

To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.

Answer:

60 mins

Step-by-step explanation:

1 picture = 30 mins

times both sides by 2 to get 2 pictures

2 pictures = 60 mins

Answer:

what are coprime number

Answer:

13 away

i used my fingers

Answer:

12

Step-by-step explanation:

-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4

Just count he bottom lines

Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

Answer:

it will take him 30 weeks

Step-by-step explanation:

2 weeks = 1 kilogram lost

105-90=15

1 x 15 = 15

2 x 15 = 30

Jim did not buy any tickets (n_Jim = 0).

Larry bought 7 more tickets than Jim.

To determine the number of tickets Larry bought more than Jim, we need to find the values of n for Larry and Jim's ticket purchases.

For Larry:

Let's substitute C = $170 into the equation C = 24n + 2 and solve for n:

$170 = 24n + 2

Subtracting 2 from both sides:

$168 = 24n

Dividing both sides by 24:

n = 7

For Jim:

We can calculate the number of tickets Jim bought by subtracting 12 from Larry's number of tickets:

n_Jim = n_Larry - 12

n_Jim = 7 - 12

n_Jim = -5

Since we cannot have a negative number of tickets, we can conclude that Jim did not buy any tickets (n_Jim = 0).

To find the difference in the number of tickets bought, we subtract the number of tickets Jim bought from the number of tickets Larry bought:

n_difference = n_Larry - n_Jim

n_difference = 7 - 0

n_difference = 7

Therefore, Larry bought 7 more tickets than Jim.

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Question

The equation C=24n+2 represents the cost, C, in dollars, of buying n tickets to a play. J $170. How many more tickets did Larry buy than Jim? 12

Answer:

x = 4

Step-by-step explanation:

Because we know both figures have the same perimeter, we can set them equal to each other.

3x + 4 + 5x + 1 + 2x + 5 = x + 13 + x + 13 + 2x + 2x

10x + 10 = 6x + 26 (Added like terms.)

4x + 10 = 26 (Subtracted 6x on both sides.)

4x = 16 (Subtracted 10 on both sides.)

x = 4 (Divided 4 on both sides.)

The function 4^n + 15n - 1  is divisible by 9 if n is a natural number.

A number is divisible by 9 if the sum of its digits is divisible by 9.

The given number = 4^n + 15n - 1

so we are going to test different natural numbers as n, to check if the resulting number is divisible  by 9.

let n = 1

4^(1) + 15(1) - 1 = 4 + 15 - 1 = 18

sum of 18 = 1 + 8 = 9

9 is divisible by 9

let n = 2

4^(2) + 15(2) - 1 = 16 + 30 - 1 = 45

sum of 45 = 4 + 5 = 9

9 is divisible by 9

Thus, if is proved that 4^n + 15n - 1 is divisible by 9 if n is a natural number. ​

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The value of longest side is,

⇒ PO

And, The value of shortest side is,

⇒ NP

We have to given that;

In triangle NOP,

∠N = 66°

∠P = 60°

Hence, We get;

∠ O = 180 - (66 + 60)

∠O = 180 - 126

∠O = 54°

Here, The largest angle is, ∠N

Hence, The value of longest side is just opposite to angle N

That is, Longest side is, PO

And, The Smallest angle is, ∠O

Hence, The value of smallest side is just opposite to angle O

That is, Smallest side is, NP

Thus, The value of longest side is,

⇒ PO

And, The value of shortest side is,

⇒ NP

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Answer:

0.0011521

Step-by-step explanation:

Recall :

Probability = required outcome / Total possible outcomes

Total number of players = (12 + 3 + 5 + 6) = 26

Total players to be selected

Total possible outcomes : 26C9

Required outcome :

1 pitcher = 12C1

1 catcher = 3C1

4 infielders = 5C4

3 outfielders = 6C3

(12C1 * 3C1 * 5C4 * 6C3) / 26C9

Using calculator for. Combination :

(12 * 3 * 5 * 20) / 3124550

= 0.0011521

The first 5 terms of the sequence is given by A = { -4.8 , 1.92 , -0.768 , 0.3072 , -0.12288 }

Given data ,

Let the geometric sequence be represented as A

Now , the value of A is

A = 12 ( -2/5 )ⁿ

On simplifying , we get

when n = 1

A₁ = 12 ( -2/5 ) = -4.8

A₂ = 12 ( -2/5 )²

A₂ = 12 ( 4/25 ) = 1.92

A₃ = 12 ( -2/5 )³

A₃ = -12 ( 8/125 ) = -0.768

A₄ = 12 ( -2/5 )⁴

A₄ = 12 ( 16 / 625 ) = 0.3072

A₅ = 12 ( -2/5 )⁵

A₅ = -12 ( 32 / 3,125 ) = -0.12288

Hence , the geometric sequence is solved

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M = 270,000 * (0.5833% * (1 + 0.5833%)^240) / ((1 + 0.5833%)^240 - 1).  Calculating this equation will give us the monthly mortgage payment for Abigail and Curtis Siebert.

Abigail and Curtis Siebert have a $270,000 mortgage at an interest rate of 7% for a term of 20 years.

To calculate the monthly mortgage payment, we can use the formula for an amortizing mortgage:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1),

where M is the monthly mortgage payment, P is the principal amount (loan amount), r is the monthly interest rate, and n is the total number of monthly payments.

First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is 7% divided by 12, which is approximately 0.5833%.

The total number of monthly payments is the term of the mortgage multiplied by 12. In this case, it's 20 years * 12 months, which equals 240 months.

Now, we can substitute the values into the formula:

M = 270,000 * (0.5833% * (1 + 0.5833%)^240) / ((1 + 0.5833%)^240 - 1).

Calculating this equation will give us the monthly mortgage payment for Abigail and Curtis Siebert.

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Answer:

8 times greater

Step-by-step explanation:

The volume of a crate is calculated by multiplying the length, width, and height together. Let's assume that the original values for these were 2, 2, and 2 inches. We can multiply them together to get the volume of the original crate.

2 * 2 * 2 = 8 \(inches^{3}\)

The new crate is double the value of every side, which would be 4, 4, and 4 inches. Let's multiply these values to get the volume of the new crate...

4 * 4* 4 = 64 \(inches^{3}\)

Now that we have both volumes we can divide the volume of the new crate by the volume of the old crate to calculate how many times greater the new crate's volume is

64 / 8 = 8 times greater

The area on the graph that is not shaded is the region of feasibility. The shape is a triangle and the vertices of the feasible region are: (5,1.5), (.75,.75), (1.5,.5)

The system of inequalities below, We need to determine the shape of the feasible region and find the vertices of the feasible region

x+y<=2

3x+y>=3

x+3y>=3

x>=0

y>=0

Now, we would graph with the following inequalities

x+y>=2

3x+y<=3

x+3y<=3

x<=0

y<=0

Therefore, the area on the graph that is not shaded is the region of feasibility and the shape is a triangle, the vertices of the feasible region are: (5,1.5) (0.75, 0.75), (1.5,.5).

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Step-by-step explanation:

y=kx

25= k(-5)

k= -5

y= -5x

y = -5 ×3 = -15

The result of the addition operation of 1204.2 + 4.72613 is approximately 1208.93.

An addition operation involves two addends added together to result in a number called the sum.

The addition operation is one of the four basic mathematical operations, including subtraction, division, and multiplication.

Mathematical operations combine numbers, variables, and values with mathematical operands to solve mathematical questions.

1204.2 + 4.72613

= 1208.92613

= 1208.93

Thus, the addition of 1204 and 4.72613 yields a total of 1208.93 approximately.

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Answer:

12.5

Step-by-step explanation:

u put the decimal at the end of 25 then u times it by 50 and there u get ur answer

hope this helps :D

Answer:

\(S_{15}= 50\)

Step-by-step explanation:

Given

\(a_7 = \frac{14}{3}\)

\(d = -\frac{4}{3}\)

\(n = 15\)

Required

The sum of n terms

First, we calculate the first term using:

\(a_n = a + (n - 1)d\)

Let \(n = 7\)

So, we have:

\(a_7 = a + (7 - 1)d\)

\(a_7 = a + 6d\)

Substitute \(a_7 = \frac{14}{3}\) and \(d = -\frac{4}{3}\)

\(\frac{14}{3} = a + 6*\frac{-4}{3}\)

\(\frac{14}{3} = a -8\)

Collect like terms

\(a =\frac{14}{3} +8\)

Take LCM and solve

\(a =\frac{14+24}{3}\)

\(a =\frac{38}{3}\)

The sum of n terms is then calculated as:

\(S_n = \frac{n}{2}(2a + (n - 1)d)\)

Where: \(n = 15\)

So, we have:

\(S_n = \frac{15}{2}(2*\frac{38}{3} + (15 - 1)*\frac{-4}{3})\)

\(S_n = \frac{15}{2}(2*\frac{38}{3} + 14 *\frac{-4}{3})\)

\(S_n = \frac{15}{2}(2*\frac{38}{3} - 14 *\frac{4}{3})\)

\(S_n = \frac{15}{2}(\frac{2*38}{3} - \frac{14 *4}{3})\)

Take LCM

\(S_n = \frac{15}{2}(\frac{2*38-14 *4}{3})\)

\(S_n = \frac{15}{2}(\frac{20}{3})\)

Open bracket

\(S_n = \frac{15*20}{2*3}\)

\(S_n = \frac{300}{6}\)

\(S_n = 50\)

Hence,

\(S_{15}= 50\)

Answer:

8 feet

Step-by-step explanation:

Let l and w be length and width, respectively. Then:

lw=144   and

l=w+10

So:

w(w+10)=144

w²+10w-144=0

(w+18)(w-8)=0

w=8 as the width ................

The width of the rectangular wall is 8 feet.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Let l and w be length and width, respectively. Then:

l x w=144  

l = w + 10

The area will be given as;-

w(w+10)=144

w²+10w-144=0

(w+18)(w-8)=0

w = 8  and -18 ignore -18.

Therefore the width of the rectangular wall is 8 feet.

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A member of the senate will serve for (h+4) years.

An expression, in mathematics, is a finite set of combinations and/ or numbers and variables that accurately represents the the context in question. When two or more expressions are connected using the equality sign then an equation is formed.

Here, we are given that in the US government a member of the senate serves for 4 years longer than a member of the House of Representatives.

Also the House of Representatives serves for- h years

Thus, the number of years a member of the Senate will serve will be 4 more than the number h

= h + 4

Thus, a member of the senate serves for (h+4) years.

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The number of holiday bags Buddy the ELF need for packing is 14

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

Chocolate lollipops = 56

Candy cane = 42

The greatest common factor of  56 and 42 represent the number of holiday bags

So, we have

Chocolate lollipops = 56 = 2 * 2 * 2 * 7

Candy cane = 42 = 2 * 3 * 7

Next, we have

GCF = 2 * 7

This gives

GCF = 14

Hence. the number of bags is 14

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Answer:15x+35=110

Step-by-step explanation:

Answer:

Samuel slept for 1/4 of the distance.

Step-by-step explanation:

The information provided are:

Consider that the total distance covered was 1.

Then from the first point we know that Samuel fell asleep after covering a distance of 1/2.

It is provided that he woke up only after covering half of the remaining distance.

That is, he slept for 1/4 of the remaining distance.

Thus, Samuel was asleep for 1/4th of the entire trip home.

Answer:

-43.5

Step-by-step explanation:

After 15 second he would have swam to a level of -43.5.

Answer:

Step-by-step explanation:

We can use the method of undetermined coefficients to solve this differential equation. First, we will need to find the solution to the homogeneous equation and the particular solution to the non-homogeneous equation.

For the homogeneous equation, we will use the form y"+ky=0, where k is a constant. We can find the solutions to this equation by letting y=e^mx,

y"=m^2e^mx -> (m^2)e^mx+k*e^mx=0, therefore (m^2+k)e^mx=0

(m^2+k) should equal 0 for the equation to have a non-trivial solution. Therefore, m=±i√(k), and the general solution to the homogenous equation is y=A*e^i√(k)x+Be^-i√(k)*x.

Now, we need to find the particular solution to the non-homogeneous equation. We can use the method of undetermined coefficients to find the particular solution. We will let yp=a0+a1x+a2x^2+.... As the derivative of a sum of functions is the sum of the derivatives, we get

yp″=a1+2a2x....yp‴=2a2+3a3x+....

Substituting the general solution into the non-homogeneous equation, we get

a0+a1x+a2x^2+...+2a2x+3a3x^2+...=Y(4)

So, the coefficient of each term in the expansion of the left hand side should equal the coefficient of each term in the expansion of the right hand side. Since there is only one term on the right hand side, we get the recurrence relation:

a(n+1)=Y(n-2)/n^2

From this relation, we can find all the coefficients in the expansion for the particular solution. Using this particular solution, we can find the total solution to the differential equation as the sum of the homogeneous solution and the particular solution.

The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

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Answer:

Percentage deducted is 10%. Forgive me if I’m wrong

Step-by-step explanation:

$179.99+$20=$199.99

$20/$199.99=0.1000

=10%

Answer:

3100

Step-by-step explanation:

Answer:

3,000

Step-by-step explanation:

If the question was about 3,500 it would be rounded to 4,000

If the question was about 2,499 it would be rounded to 2,000

If it is in between 3,449 and 2,500 then it would be rounded to 3,000 which 3,108 is