What is the coordinates after (x+2, y + 3)

The correct option is A, we have a translation of 7 units to the right.-

To find it, we need to analyze two correspondent vertices.

We can see that vertex A is at (1, 5), while the correspondent vertex A' is at (8, 5)

Taking the difference between that, we will get:

A' - A = (8, 5) - (1, 5) = (8 - 1, 5 - 5) = (7, 0)

The first value gives the horizontal translation and the second the vertical one

So,we have a translation of 7 units to the right, the correct option is A.

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The linear function that models the situation is given as follows:

d = 0.85t.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The constant ratio for this problem is given as follows:

k = 0.83, as each division of d by t has a result of 0.83.

Hence the equation is given as follows:

d = 0.83t.

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Kelly will take 5.64 minutes more to wash the car as compared to Kelly and Libby when they are working together

Time taken by Kelly to wash the car = 13 minutes

Time taken by Libby to wash the car = 17 minutes

Time taken by Kelly and Libby to wash the car together:

LCM of 13 and 17 is 221. So, the total work required to be done is 221 units

Hence, Kelly does 17 units of work each minute and Libby does 13 units of work each minute

If both work together, they will finish the work in = Total work required to be done/ Work done in a minute by Kelly + Work done in a minute by Libby

= 221/(17+13)

= 221/30 = 7.36 minutes

The extra time taken by Kelly working alone = 13-7.36  = 5.64 minutes

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Answer:

what can I help you miss

Answer: A' = (1, 5)

              B' = (-3, 5)

              C' = (-3, 2)

              D' = (1, 2)

Step-by-step explanation:

Reflecting across the y-axis provides the opposite x-value.

   Z =  (x, y)    -->    Z' = (-x, y)

A = (-1, 5)       -->     A' = (1, 5)

B = (3, 5)       -->     B' = (-3, 5)

C = (3, 2)       -->     C' = (-3, 2)

D = (-1, 2)       -->     D' = (1, 2)

Answer:

To find the coordinates of the point on the x-axis that is reflected over the x-axis from the point P, you can use the formula (x, -y). In this case, the x-coordinate of point P is 4, so the x-coordinate of the reflected point will also be 4. The y-coordinate of point P is 7, so the y-coordinate of the reflected point will be -7. Therefore, the coordinates of the reflected point are (4, -7).

Answer:

56 minutes

Step-by-step explanation:

We can use proportions to solve.

6 miles            8 miles

------------     = ------------------

42 minutes        x minutes

Using cross products.

6x = 42 *8

Divide each side by 6

x = 42/6 * 8

x = 7*8

x = 56

Answer: Time required to travel along the perimeter of a hexagon  = 84seconds

Step-by-step explanation: Given, The radius of the circle = 21m Time taken to travel the circumference of the circle = 44 seconds Side of a hexagon = 42m To find, The time taken to move along the perimeter of a hexagon. Recall the concept Circumference of the circle =2πr The perimeter of a hexagon = 6× length of a side Distance = speed × time Solution Since the radius of the circle = 21m, The circumference of the circle = 2× ×21 = 132m Since time taken to travel 132 m is 44seconds Speed =  =  = 3m/s Since the length of a side of a hexagon = 42m, the perimeter of a hexagon = 6×42 = 252m Time required to travel along the perimeter of a hexagon = =  = 84seconds ∴ Time required to travel along the perimeter of a hexagon = 84seconds

Step-by-step explanation:

AD=AE

BD=EC

D=E

....ABD=ACE

The airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).

How to solve for the airplane's groundspeed

To determine the resultant velocity of the airplane, we need to break down the airplane's velocity and the wind's velocity into their respective components and add them. Let's assume that the angles are measured clockwise from true north.

Let's denote:

Vp = airplane's speed = 250 km/h

θp = airplane's heading = 075 degrees

Vw = wind's speed = 85 km/h

θw = wind's heading = 300 degrees

We can then find the eastward (x) and northward (y) components of the velocities:

For the airplane:

Vpx = Vp * cos(θp) = 250 * cos(75 degrees) = 64.95 km/h

Vpy = Vp * sin(θp) = 250 * sin(75 degrees) = 241.92 km/h

For the wind:

Vwx = Vw * cos(θw) = 85 * cos(300 degrees) = 73.60 km/h

Vwy = Vw * sin(θw) = 85 * sin(300 degrees) = -42.50 km/h

We then sum the x and y components of the two velocities to find the resultant velocity components:

Vrx = Vpx + Vwx = 64.95 km/h + 73.60 km/h = 138.55 km/h

Vry = Vpy + Vwy = 241.92 km/h - 42.50 km/h = 199.42 km/h

The magnitude of the resultant velocity, which represents the groundspeed (Vr), is found using the Pythagorean theorem:

Vr = sqrt((Vrx)^2 + (Vry)^2) = sqrt((138.55)^2 + (199.42)^2) = 242.25 km/h

The bearing (θr) of the resultant velocity (relative to north) can be found using inverse tangent:

θr = atan2(Vry, Vrx) = atan2(199.42, 138.55) = 55.04 degrees

Therefore, the airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).

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Answer:

-7, -\(\pi\) -\(\sqrt{3}\) , 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

The polar form of the rectangular coordinates (-√√2, -√2) is (2√(1 + √2), 15π/28)

To convert the rectangular coordinates (-√√2, -√2) into polar form, we first need to find the value of r (the radius) and θ (the angle).

r = √((-√√2)^2 + (-√2)^2) = √(2 + 2√2) = 2√(1 + √2)

To find the value of θ, we can use the following formula:

θ = atan(y/x)

where atan is the inverse tangent function, and (x, y) are the rectangular coordinates.

θ = atan(-√2/(-√√2)) = atan(√2) = π/4 radians

However, we need to express the angle in terms of 7 over the interval 0 ≤ θ < 2π/7, with a positive value of r.

To do this, we can add a multiple of 2π/7 to the value of θ until we get an angle in the desired interval.

θ = π/4 + 2π/7 = (7π + 8π)/28 = 15π/28 radians

So the polar form of the rectangular coordinates (-√√2, -√2) is:

(2√(1 + √2), 15π/28)

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thus answers.hooe it's right

Answer:

Look at the screenshot

Step-by-step explanation:

Since it is just y=4x, and there is no b, we start at the origin (0, 0). Now, since slope is rise/run, and 4 can be written as 4/1. we go up 4 and to the right one. You can repeat this as many times as you need. Check the attached screenshot for the graph.

Answer:

The  p-value is  \(p-value = 0.62578\)

Step-by-step explanation:

From the question we are told that    

    The  sample size of male infant is  \(n_1 = 12\)

     The  sample size of female infant is \(n_2= 9\)

     The sample mean of male infant is  \(\= x_1 = 7.70 \ lb\)

      The sample mean of female infant is  \(\= x_2 = 7.80 \ lb\)

     The population standard deviation is  \(\sigma = 0.5\)

       The significance level is  \(\alpha = 0.05\)

The null hypothesis is  \(H_o : \mu_ 1 = \mu_2\)

The  alternative hypothesis is  \(H_1 : \mu_1 > \mu_2\)

The  test statistics is mathematically represented as

            \(t =\frac{\= x_1 - \= x_2 }{\sqrt{\frac{\sigma }{n_1} } + \frac{\sigma }{n_2} } }\)

=>          \(t = \frac{7.70 -7.80}{\sqrt{\frac{0.5 }{12} } + \frac{0.5 }{9} } }\)

=>        \(t = -0.3207\)

From the z-table  the p-value is  obtained, the value is  

     \(p-value = P(Z > -0.3207) = 0.62578\)

     \(p-value = 0.62578\)

The value of x, y and z in the system equation is (1, 2, 3).

The solution of the equation can be determined by using Cramer's rule as follows;

[-5    -6      0] = [ -17]

[-3     -5     5]    [2   ]

[-6    -5      1]     [-13 ]

The determinant of the matrix is calculate as;

Δ = -5 (-5 + 25) + 6(-3 + 30) + 0(15 + 30)

Δ = 62

The x-determinant of the matrix is calculated as follows;

Δx = -17(-5 + 25) + 6(2 + 65) + 0

Δx = 62

The y-determinant of the matrix is calculated as follows;

Δy = -5(2 + 65) + 17(-3 + 30) + 0

Δy = 124

The z-determinant of the matrix is calculated as follows;

Δz = -5(65 + 10) + 6 (39 + 12) - 17(15 - 30)

Δz =  186

The value of x, y and z is calculated as follows;

x = Δx/Δ = 62/62 = 1

y = Δy/Δ = 124/62 = 2

z = Δz/Δ = 186/62 = 3

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a)

b)

c)

Answer:

the awnser is 4

Step-by-step explanation:

Answer:

16,000

Step-by-step explanation:

11,319 rounded to the nearest thousand is 11,000.

4,895 rounded to the nearest thousand is 5,000.

11,000 + 5,000 is equal to 16,000.

Height of the tree after 6 years,

→  15 feet 6 inches = 186 inches.

→  186 - 42 = 144 inches.

Height of the tree after 1st year = 144/6 = 64

∴ The tree grows 24 inches in each year.

Answer:

x=1,13

Step-by-step explanation:

(x – 7)^2 = 36

Take the square root of each side

sqrt((x – 7)^2) = sqrt(36)

x-7 = ±6

x-7 = 6         x-7 =-6

Add 7 to all sides

x-7+7 = 6+7         x-7+7 = -6+7

x = 13                    x=1

Answer:

i think the Answer is D

Step-by-step explanation:

There are really questions  to answer .

The distance between third base and the pitcher's mound is roughly 80.0 feet.

The Pythagorean theorem can be used to resolve this issue.

The pitcher's mound and third base can be thought of as the two ends of a right triangle in this situation, with home plate and third base serving as the hypotenuse. One of the triangle's legs is the distance between home plate and the pitcher's mound.

Let's call the distance between the pitcher's mound and third base "x". Then we can set up the following equation:

\(60.5^2 + x^2 = 90^2\)

Simplifying and solving for x, we get:

\(x^2 = 90^2 - 60.5^2\)

\(x^2 = 6406.25\)

x ≈ 80.0

Therefore, the distance between third base and the pitcher's mound is roughly 80.0 feet.

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Answer:

The margin of error for the 90% confidence interval is of 0.038.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

The margin of error is of:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.

This means that \(n = 400, \pi = \frac{280}{400} = 0.7\)

90% confidence level

So \(\alpha = 0.1\), z is the value of Z that has a pvalue of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).

Margin of error:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(M = 1.645\sqrt{\frac{0.7*0.3}{400}}\)

\(M = 0.038\)

The margin of error for the 90% confidence interval is of 0.038.

Answer:

24.5%

Step-by-step explanation:

Given

P(Off-Campus) = 0.30

P(Part-Time Job | Off-Campus) = 0.62

P(Part-Time Job | On-Campus) = 0.65

Inferred

P(On-Campus) = 0.70

P(No Part-Time Job | Off-Campus) = 0.38

P(No Part-Time Job | On-Campus) = 0.35

Calculation

P(No Part-Time Job | On-Campus) = P(No Part-Time Job ∩ On-Campus)/P(On-Campus)

0.35 = P(No Part-Time Job ∩ On-Campus)/0.70

0.245 = P(No Part-Time Job ∩ On-Campus)

Therefore, 24.5% of students that live on campus do not have a part-time job.

Answer:

4x - 3 - 2x + 5 = 6 - 3x + 2 + 5x

2x + 2 = 2x + 8

2 ≠ 8, so this equation has no solutions.

Answer:

No solution

Step-by-step explanation:

Given:

\(4x-3-2x+5=6-3x+2+5x\)

rearrange terms so like terms are together

\(4x-2x-3+5=6+2-3x+5x\)

combine like terms

\(2x+2=8+2x\)

subtract 2x to both sides

\(2\neq 8\)

2 doesn't equal 8, meaning that there are 0 solutions to this problem.

Hope this helps! :)

Answer:

Greta will be earning 3.6/h more at her new job.

Step-by-step explanation:

To find the difference subract Greta‘s salary from her current job from Greta’s salary from her future job.

To find Greta’s salary (numerator) at her future job divide her current weekly salary ($729) by 45h then multiply that answer (16.2) by the increase in salary 10% or 1.1. You should end up with $17.82- this is your numerator. To find the denominator divide her current hours (45h) by 45 then multiply that answer (1) by 0.9 which is the 10% decrease in hours. Now you have a fraction ($17.82/0.9) then multiply that fraction by 1.1/1.1 to get the denominator to 1 hour so you can subtract the fractions. You should end up with $19.8/h.

Now subtract Greta’s current salary ($16.2/h)- you just take the numbers from the first part before you increase or decrease- from her future salary ($19.8/h), you will end up with 3.6/h.

I was challenged to write this in a single equation:

[((($729\45h)x1.1)/((45h\45)x0.9))x1.1/1.1]-[($729\45h)/(45h\45)]

=$3.6/h

/ means a fraction bar

\ means division

Also I am just a student so please tell me if you find any mistakes I could fix or any suggestions to make this a better explanation, and if you have any questions ask away.

The equation of line is \(6y=6x$-$12\).

The given slope is \(\frac{1}{6}\).

The \(y $-$\)intercept is \((0, $-$2)\).

We have to write the equation of line using the given slope and \(y $-$\)intercept.

The equation of line with the slope m and \(y $-$\)intercept of \((0,a)\) is \(y=mx+a\).

From the question,

The value of  \(m=\frac{1}{6}\)

The value of \(a= $-$2\)

Now putting the value of \(m\) and \(a\) in the equation of line.

\(y=\frac{1}{6}x+( $-$2)\\y=\frac{1}{6}x$-$2\)

Multiply by \(6\) on both side

\(y\times6=6\times(\frac{1}{6}x$-$2)\\6y=6\times\frac{1}{6}x$-$6\times2\\6y=6x$-$12\)

The equation of line is \(6y=6x$-$12\).

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Answer: The value of x is 49.

Step-by-step explanation:

To find the value of x, you will first need to cross multiply the fractional variables together.

5x - 80 = 3x + 18

Then, move the numerical term 80 to the right side of this equation and add it to 18.

5x - 80 = 3x + 98

Move 3x to the left side of the equation and subtract it this time to the variable 5x.

2x = 98

Finally, you divide both of the equation's sides by 2 and you will get 49.

x = 49

When you actually add x to this problem, you would get 33/55.

49 - 16/49 +6 = 33/55

You can then simplify 33/55 and get the same answer 3/5.

3/5

Therefore, the value of x for this variable equation with the fractions would be equal to x = 49. Hope this helps!

-From 5th Grader Honors Student

Answer:

200ft of rope

Step-by-step explanation: