Are y = 6 and x = - 1 perpendicular lines?

Answer:

mean = 24

Step-by-step explanation:

the mean is calculated as

mean = \(\frac{sum}{count}\)

the sum of the data set is

sum = 12 + 13 + 15 + 28 + 28 + 30 + 42 = 168

there is a count of 7 in the data set , then

mean = \(\frac{168}{7}\) = 24

Answer:

i'm not sure but here's some encouragement- YOU CAN DO IT

Step-by-step explanation:

Answer:

p - 5

Step-by-step explanation:

5 - p = p - 5

Answer:

the dot is the 0 rember dat

Step-by-step explanation:

Answer:it’s c

Step-by-step explanation:

the questions is c

9514 1404 393

Answer:

  y = 5x - 7

Step-by-step explanation:

We can make an equation for the perpendicular line by swapping the x- and y-coefficients, negating one of them. Then we can use that form with the given point to see what the constant is.

  10x -2y = ...

Removing a common factor of 2 gives ...

  5x -y = 5(2) -(3) = 7 . . . .  using (x, y) = (2, 3), we can find the constant

Solving for y, we get ...

  5x -7 = y . . . add y-7

  y = 5x -7 . . . write in the desired form

Answer:

Area of annulus is 40.85cm² to 2d.p

Step-by-step explanation:

Area of shaded part=Area of bigger circle -Area of smaler circle

Area of annulus= πR²- πr²= π(R²-r²)

A=3.142(7²-6²)

A=3.142(49-36)

A=3.142×13

A=40.846cm²

A=40.85cm² to 2d.p

It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.

Time = Distance / Speed

Time = 389 miles / 65 mph

Time ≈ 5.98 hours

Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.

To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.

Number of gallons = Distance / Mileage

Number of gallons = 389 miles / 29 miles per gallon

Number of gallons ≈ 13.41 gallons

The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.

Cost = Number of gallons * Cost per gallon

Cost ≈ 13.41 gallons * $3.89/gallon

Cost ≈ $52.18

Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

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Answer:

Step-by-step explanation:

Solve the System of Equations

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−1,7)

Equation Form:

x=−1,y=7

Answer:

Dividing

Step-by-step explanation:

I think you meant dividing instead of diving

The equation used to find the total mileage, m, that will make the cost, p, of renting a moving truck for one day equal at each rental company is 45 miles

Mega movers:

Fixed cost per day = $19.50

Additional cost per mileage = $0.95

p = 19.50 + 0.95m

U-move:

Fixed cost per day = $42.00

Additional cost per mileage =$0.45

p = 42.00 + 0.45m

19.50 + 0.95m = 42.00 + 0.45m

0.95m - 0.45m = 42.00 - 19.50

0.50m = 22.50

m = 22.50 / 0.50

m = 45 miles

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The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.

However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.

This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.

As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.

It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.

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Answer:

p = 7

Step-by-step explanation:

set the expressions = to each other

4(n+7) = 4(n+p)

distribute the 4 on both sides(multiplying the numbers on the inside)

4n+28 = 4n+4p

subtract the 4n from the right and left

28 = 4p

divide by 4

p = 7

Answer:

A rational expression is when the numerator and the denominator are polynomials. An example is  5/x − 2

Given the vertices of triangle A:

A(-2, 4), (-2, 2), (-4, 2)

Vertices of triangle B:

B(3, -1), (3, -3), (1, -3)

Let's find the rule to describe the transformation that occured to obtain triangle B from triangle A.

To find the transformation rule subtract the vertices of traingle A form the corresponding vertices of triangle B.

We have:

(3 - - 2, -1 - 4) ==> (3 + 2, -1 -4) ==> (5, -5)

(3 - - 2, -3 -2) ==> (3 + 2, -3 - 2) ==> (5, -5)

(1 - - 4, -3 - 2) ==> (1 + 4, -3 - 2) ==> (5, -5)

From the figure given, we can see triangle A moved 5 units to the right and down 5 units to obtain triangle B.

The form of transformation that occured here is called translation.

A translation 5 units right is written as: x + 5

A translation 5 units down is written as: y - 5

Triangle A was translated 5 units to the right and 5 units downwards to obtain triangle B.

Using the rules of translation, the rule to describe the transformation is:

(x, y) ==> (x + 5, y - 5)

ANSWER:

(x, y) ==> (x + 5, y - 5)

Answer:

If hours is represented as h, your distance is therefore 3*h (due to that for every hour, you walk 3 miles. For example, in one hour you'd walk 3 miles, in 2 hours you'd walk 3+3=3*2=6 miles,etc.). If distance is represented by d, we get 3*h=d. Since you have to figure out the distance from the equation (that's the purpose of it!), the distance is the dependent variable. In addition, since you can't have 2 separate variables in one equation, h is the independent variable due to that you have to put a number for h in to figure out the distance

So basically the answer is A.

Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

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The margin of error for 16 eggs with sample means 2 ounce and standard deviation as 42 ounces is   18.407   .

In the question ,

it is given that ,

the number of eggs = 16

the sample means weight is = 2 ounce .

the standard deviation is = 42 ounces .

we have to find the margin of error .

degree of freedom is 16 - 1 = 15 .

and the t score for the 90% confidence interval is

t₁₅,₀.₀₅ = 1.753

So , the margin of error is =  t₁₅,₀.₀₅×(standard deviation/√n)

Substituting the values ,

we get ,

= 1.753×(42/√16)

On simplifying further ,

we get ,

= 18.407

Therefore , the margin of error is = 18.407 .

The given question is incomplete , the complete question is

A sample of 16 eggs yields a sample mean weight of 2.00 ounces and a sample standard deviation = 42.0 ounces, find the margin of error in estimating a confidence interval estimate at the 90% level of confidence. Round your answer to three decimal places. You may assume that egg weights are normally distributed .

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Answer:

43.667 years

Step-by-step explanation:

Simple Interest Rate Formula: A = P(1 + r)ⁿ

Step 1: Define variables

A = 10,000

P = 5,000

r = 0.016

n = unknown

Step 2: Substitute variables

10,000 = 5,000(1 + 0.016)ⁿ

Step 3: Solve for n time

2 = (1.016)ⁿ

\(\log_{1.016}2\)

43.667 years

First, we need to calculate the area of the room Jenny is tiling, which appears to be in the shape of a rectangle. The area is calculated by multiplying the length and width of the rectangle. If the measurements provided (2.6m and 11m) are for the length and width, then the area of the room would be:

Area = length x width

Area = 2.6m x 11m

Area = 28.6 m²

Next, we need to calculate how many packs of tiles Jenny needs to buy. Given that each pack covers an area of 3m², we divide the total area by the area each pack covers:

Number of packs needed = total area / area covered by one pack

Number of packs needed = 28.6m² / 3m² ≈ 9.53 packs

Since Jenny can't buy a fraction of a pack, she needs to purchase 10 packs of tiles.

The tiles are marked at £18.60, so before the discount, the total cost of the tiles would be:

Total cost = number of packs x price per pack

Total cost = 10 packs x £18.60 = £186

Jenny has a discount card which gives her a 25% discount off the marked price. The discount amount can be calculated as:

Discount = total cost x discount rate

Discount = £186 x 25% = £46.5

So, the cost of the tiles after the discount is:

Discounted price = total cost - discount

Discounted price = £186 - £46.5 = £139.5

Jenny has £100 to spend on the tiles. The extra amount Jenny needs is the difference between the cost of the tiles after the discount and the amount she has:

Extra amount needed = discounted price - amount Jenny has

Extra amount needed = £139.5 - £100 = £39.5

The question asks for the answer in pence, and there are 100 pence in a pound, so:

Extra amount needed in pence = extra amount needed in pounds x 100

Extra amount needed in pence = £39.5 x 100 = 3950 pence

Therefore, Jenny needs an extra 3950 pence to buy the tiles.

Answer:

a

Step-by-step explanation:

a

Answer: I think the 3rd one is silver, so that one.

Step-by-step explanation:

5 or the best conductors are as follows: Silver, gold, Copper, aluminum, Mercury

The number of papers that Ms. Motley will grade in five days would be = 46 papers (approximately).

The number of papers Ms. Motley graded in first day = 9 papers

The number of papers Ms. Motley graded in the second day = 27 papers

The number of papers Ms. Motley graded in the third day = 31 papers

The average number of she graded for the three days is calculated as follows;

9+27+31 = 67/3 = 27.3 papers.

If in 3 days = 27.3 papers

5. days = X papers

Make X papers the subject of formula;

X papers = 5× 27.3/3

= 136.5/3

= 45.5 papers

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The length of the apothem is 10. 99cm

To determine the apothem of a polygon, we have to use the formula;

a = s/2 tan (180/n)

Such that the parameters are;

Now, substitute the values, we have;

a = 8/2tan(180/9)

divide the values

a = 8/2tan 20

Find the values

a = 8/0. 7279

Divide the values

a = 10. 99cm

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The graph of the sequence M , we define M recursively using function notation

\(f(n+1)=f(n)-2\)

Given :

the graph of the sequence M

Lets write the recursive function using the given points

First point is (1,7) and second point is (2,5) then (3,3) and so on

For recursive function , we use the initial point (1,7)

when n=1, f(n)=7

the y values of the point are decreasing by 2. Common difference is -2

Recursive function is

\(f(n+1)=f(n)-diffeference \\f(n+1)=f(n)-2\)

where n=2,3,4...

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The correct pairings are:

a) Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

b) Five times the difference of a number squared and six: 5(n² - 6)

c) Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

d) O twice the difference of nine and a number squared: 2(9 - n²)

The correct pairings of descriptions and expressions are as follows:

Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

This expression represents taking a number, cubing it, dividing the result by seven, subtracting four, and then adding three.

Five times the difference of a number squared and six: 5(n² - 6)

This expression represents taking a number, squaring it, subtracting six, and then multiplying the result by five.

Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

This expression represents taking the cube of a number, dividing six by the cube, adding nine, and then subtracting four.

O twice the difference of nine and a number squared: 2(9 - n²)

This expression represents taking a number, squaring it, subtracting it from nine, and then multiplying the result by two.

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Answer:

the mean is 53.75 and median is 54

Step-by-step explanation:

The volume of cone is 175 m³

Firstly,

Volume of Pyramid.

The volume (V) of a pyramid is  

V = ⅓Ah

Data:

V = 175m³

Calculation:

175 = ⅓× A× h

Ah = 175*3

Ah = 525m³

Secondly,

The volume (V) of a cone is

V = ⅓Ah

Data:

Ah = 525 m³

Calculation:

V = ⅓ A× h

V = 175 m³

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Answer:

Step-by-step explanation:

A= 2(5*2) + 2(1*4) + (3*5) + 2(2*3) + (1*3) + (4*3) + (6*3) = 88 cm^2

The equation that represents the balance of the loan, y, if he borrows the money for x years is presented as follows;

\(y = 5000\cdot e^{0.089\cdot t}\)

A continuous compounding interest involves finding the accrued interest and repeat reinvestment of the interest in which the number of periods is infinite.

The formula for the amount of a compound interest loan compound continuously is expressed as follows;

\(A(t) = P_0\cdot e^{r\cdot t}\)

Where;

P₀ = The principal amount = The amount loaned

r = The interest rate

t = The duration of the loan

The amount of loan Landis is taking, P₀ = $5,000

The interest rate compounded continuously, r = 8.9%

Where, y = The balance of the loan, and x = The number of years the loan is borrowed, we get;

P₀ = $5,000

r = 8.9% = 0.089

y = A(t)

x = t

Therefore; \(y = 5000\times e^{0.089 \times t}\)

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