luke and aisha are traveling on the same road in the same direction

Check the picture below.

a. 4 1/5

b. 7 7/24

Please see the attached picture for full solution

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Good luck on your assignment

Answer:

yes

there would be 7525 runners

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r) n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years  

6500 x (1.05)^3 = 7525 runners

The  solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).

One method to solve the given system of equations is substitution:

- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).

- Substitute the expression for the variable into the other equation.

- Solve the resulting equation for the remaining variable.

- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable

Using this method with the given equations

- x - y = 9 -> x = 9 + y

- 3x + 2y = 22 -> 3(9 + y) + 2y = 22

- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1

- Substituting y = -1 into x = 9 + y: x = 8

To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.

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Answer:

24m

Step-by-step explanation:

l=8m

b=4m=w

p=2(l+b)

p=2(8+4)m

p=2(12m)

p=24m

Answer:

24 cm

Step-by-step explanation:

\(\boxed{\begin{minipage}{5 cm}\underline{Perimeter of a rectangle} \\\\$P=2(w+l)$\\\\where:\\ \phantom{ww}$\bullet$ $w$ is the width.\\ \phantom{ww}$\bullet$ $l$ is the length. \\\end{minipage}}\)

Given values:

Substitute the given values into the formula:

\(\begin{aligned}P&=2(w+l)\\\implies P&=2(4+8)\\&=2(12)\\&=24\;\; \sf cm\end{aligned}\)

Therefore, the perimeter of the rectangle is 24 cm.

answer:
Green t-shirt=profit of $1

White t-shirt=profit of $3

Black t-shirt=profit of $1.

To find the answer, selling price minus total money spent (shirt, printing) If the number is negative, it’s loss, and if it’s positive, it’s profit

The data does not show a strong positive correlation. The data has a strong negative correlation.

Normal distribution is a function that represents the distribution of many random variables as a symmetrical bell-shaped graph. Mathematically -
\($f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}\)

Given is the interpretation of the graphing calculator display.

The value of r = - 0.99.

It shows a strong negative correlation and not a strong positive correlation.

Therefore, the data does not show a strong positive correlation. The data has a strong negative correlation.

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The rotation of the triangle is 90° counterclockwise

Given data ,

Let the coordinates of the triangle be A ( -4 , -4 ) , B ( 3 , -3 ) , C ( 0 , -10 )

Let the coordinates of the rotated be A' ( 4 , -4 ) , B' ( 3 , 3 ) and C' ( 10 , 0 )

And , 90° counterclockwise rotation: (x,y) becomes (-y,x)

Therefore , the rotation is 90° counterclockwise

Hence , the triangle is rotated by 90° counterclockwise

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Answer:

y = 8.34x + 35

Step-by-step explanation:

Ivy has an empty barrel having weight = 35 pounds

Having 10 gallons of water barrel weighs = 118.4 pounds

After collecting 20 gallons of water barrel weighs = 201.8 pounds

There is a common difference in the weight of the barrel as he collects the rain water = (201.8 - 118.4) = 83.4 pounds

Therefore, its a linear process and forms a straight line when we graph the function.

Let the equation of the line is,

y = mx + b

Where m = slope of the line

b = y-intercept

Two points lying on the line will be (0, 35) and (10, 118.4)

Slope of the line 'm' =  \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

                                 = \(\frac{118.4-35}{10-0}\)

                                 = 8.34

y-intercept of the line 'b' = 35

Therefore, equation of the line is,

y = 8.34x + 35

Answer:

Step-by-step explanation:

It is not correct. Carmen should know that the approximate future value is near 16% more than the initial value. It won't be anywhere close to 221 million dollars.

__

Carmen apparently used i = 3.15/4 in his formula instead of i = 0.0315/4. Using the correct value, the future value would be ...

  FV = 2000(1 +0.0315/4)^(4·5) = $2,339.72

Answer: the initial points is 30.
and per pair of shoes is 15.

Step-by-step explanation:

Answer:

\(P(x)=2x^3-2x^2-49x+48\)

Step-by-step explanation:

Let the original polynomial be \(P(x)\).

We know that when it is divided by \((x-5)\), the quotient is \(2x^2+8x-9\) and we get a remainder of 3.

Therefore, this means that:

\(\frac{P(x)}{x-5}=2x^2+8x-9+\frac{3}{x-5}\)

Remember what it means when we have a remainder. Say we have 13 divided by 3. Our quotient will be 4 R1, or 4 1 over 3. We put the remainder over the divisor. This is the same thing for polynomials.

So, to find our original polynomial, multiply both sides by \((x-5)\):

\((x-5)\frac{P(x)}{x-5}=(x-5)(2x^2+8x-9+\frac{3}{x-5})\)

The left side will cancel. Distribute the right:

\(P(x)=2x^2(x-5)+8x(x-5)-9(x-5)+\frac{3}{(x-5)}(x-5)\)

Distribute:

\(P(x)=(2x^3-10x^2)+(8x^2-40x)+(-9x+45)+(3)\)

Combine like terms:

\(P(x)=(2x^3)+(-10x^2+8x^2)+(-40x-9x)+(45+3)\)

Evaluate:

\(P(x)=2x^3-2x^2-49x+48\)

And we're done!

Answer:

I'm probably incorrect, but I think it's the 3rd one

To rank the steps involved in transforming one couple to another couple in a parallel plane, here is the correct order:

Identify the initial couple and the desired final couple.

Determine the translation vector that will move the initial couple to the desired final couple.

Translate the initial couple using the determined translation vector. This will shift the entire couple in the parallel plane.

Verify that the translation has successfully moved the initial couple to the desired final couple.

If necessary, make any additional adjustments or transformations to align the initial and final couples precisely in the parallel plane.

Confirm that the final couple is now in the desired position and orientation relative to the initial couple, maintaining the parallelism of the plane.

By following these steps in order, you can effectively transform one couple to another in a parallel plane.

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The polar equation r = 2 sin θ is equivalent to the rectangular equation y = x tan θ.

The polar equation is r=2sinθ. To convert it into rectangular form, we can use the identities x = r cos θ and y = r sin θ.

Replacing r with 2 sin θ, we get x = 2 cos θ sin θ and y = 2 sin^2 θ. Simplifying these expressions using the identity sin^2 θ + cos^2 θ = 1, we get the rectangular equation y = x sin θ / cos θ, which can also be written as y = x tan θ.

Thus, the polar equation r = 2 sin θ is equivalent to the rectangular equation y = x tan θ.

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Answer:

\(y = \frac{2}{3} x\)

Step-by-step explanation:

let's first collect some data from the graph...

1. The line passes through the origin, so the y intercept equals 0

2. we now look for two points where the graph intersects. as established in number one it passes through point (0,0). from there we can go up the y-axis 2 spaces and to the right along the x-axis 3 spaces. this will give us our slope m rise over run or ⅔. That's enough information to write the equation of our line.

\(y = mx + b \\ m = \frac{2}{3} \\ b = 0 \\ y = \frac{2}{3} x + 0 \\ y = \frac{2}{3} x\)

To solve for x, we just need to compute the inverse of A (if it exists) and multiply it by b. If A is invertible, then this method will give us the unique solution to the linear system Ax=b.

To solve a linear system of the form Ax=b using inverse matrices, we can first find the inverse of matrix A (if it exists) and then multiply both sides of the equation by \(A^-1\), giving us:

\(A^-1Ax = A^-1b\)

Since\(A^-1A\) is the identity matrix I, we can simplify the left-hand side to just x:

\(x = A^-1b\)

However, it's worth noting that computing the inverse of a matrix can be computationally expensive, particularly for large matrices.

So, while using inverse matrices can be a useful technique for solving small systems, it may not be the most efficient approach for larger systems. In those cases, other techniques such as Gaussian elimination or LU decomposition may be more appropriate.

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Answer: a

Step-by-step explanation:

15^2 + 36^2 = 39^2

Answer: the answer would be 39, 15 and 36

Step-by-step explanation:

Step-by-step explanation:

Slope formula:

\( \frac{y2}{x2} - \frac{y1}{x1} = m\)

m = slope

Substitute the points into the formula format:

\( \frac{ - 6}{1} - \frac{30}{ - 5} = m\)

Solve:

\( \frac{ - 36}{6} = m\)

Divide:

\( - 6 = m\)

The slope equals -6.

Answer:

Always start with multiplication.

\(2*2 + (4x) - 1\\4 * number\\number = 4\\4 * 4 = 16\\\\2 * 2 = 4\\\\4 + 16 = 20\\20 - 1 = 19\)

Your answer should be 19.

The answer will always vary if you assign a different value to x, so please be careful with this in the future.

Hope this helps! Have a great day. ♣

The radius to height ratio between a sphere and a cone with same surface area is equal to 1 / 2√2.

In this problem we find a sphere and a cone with same surface area, whose formulas are shown below:

Sphere

A = 4π · r²

Cube

A = π · r² + π · r · l

Where:

And we need to determine the radius to height ratio by algebraic means. First, equalize the surface area formulas:

4π · r² = π · r² + π · r · l

3π · r² = π · r · l

3 = l / r

And the slant height can be defined in terms of the height of the cone (h), in centimeters, by Pythagorean relationship:

l = √(r² + h²)

Second, eliminate the slant height:

3 = √(r² + h²) / r

3 = √[(r² + h²) / r²]

3 = √(1 + h² / r²)

9 = 1 + h² / r²

h² / r² = 8

r² / h² = 1 / 8

r / h = 1 / √8

r / h = 1 / 2√2

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Answer:

ProvideD :

To FinD :

SolutioN :

\( \longrightarrow \tt \: a = 1000(1 + \frac{2}{100} )^{4} \)

\( \longrightarrow \tt \: a = 1082.43216\)

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Answer:

two imaginary numbers

Step-by-step explanation:

19

Step-by-step explanation:

GIVEN P0R AND P0Q, YOU CAN FIND Q0R, WHICH IS 61-22=39. NOW YOU KNOW Q0S AND Q0R, YOU CAN FIND R0S, WHICH IS 58-39=19

Answer:

13

Step-by-step explanation:

According to the question we have  the 99% UCB on the mean time of the race is 223.

The formula for finding the upper confidence bound (UCB) is UCB = Mean + (Zα/2)(σ/√n), where Mean is the sample mean, Zα/2 is the z-score for the desired level of confidence, σ is the population standard deviation (which is not given, so we'll use the sample standard deviation instead), and n is the sample size.

We are given the sample of times as follows:137, 143, 153, 162, 168, 176, 190, 192, 196, 203, 218, 223, 236, 243, 252, 269, 271, 276, 283, 287.

We'll need to calculate the sample mean and standard deviation before we can find the UCB. Using a calculator, we get: mean ≈ 207.65s ≈ 48.41 Next, we'll use a table or calculator to find the z-score for a 99% confidence interval, which is Zα/2 = 2.576.

Now we can plug in the values we know to get the UCB:UCB = mean + (Zα/2)(σ/√n)UCB ≈ 207.65 + (2.576)(48.41/√20)UCB ≈ 223.02 .Therefore, the 99% UCB on the mean time of the race is 223.

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Answer: 140 ft^2

Step-by-step explanation:

Triangle:

A = 1/2bh

A = 1/2(6 • 4)

A = 1/2(24)

A = 12

Square:

A = bh

A = 16 • 8

A = 128

Add them

128 + 12 = 140 ft^2

Answer:

7.21 ft

Step-by-step explanation:I don't know if i did it right but this is what I got.

Answer:

go pico yeah yeah ahhahshdhxhxxj