Y'all please help me! Basically just match up the points with an equation.
write an equation of the line that passes through the given points.
1. (-3, 2) (5, -2) 2.(-2, -4) (0,-8) 3.(8, -10) (0,2) 4.(-5, 4) (-3, -4) 5.(5, 0) (-2, 4)

y=-4x-16 y=-3/2x+2 y=-2x-8 y=-1/2x+1/2 y=-4/7x+2 6/7

\(\displaystyle \large \boldsymbol{} (7 \sqrt[5]{6x-10}) ^2 +\backslash\!\!\!8=\frac{49}{x^{-\tfrac{2}{5} }} +\backslash\!\!\!8 \\\\\\ 49\!\!\!\! \diagup \sqrt[5]{(6x-10)^2} = 49\!\!\!\! \diagup \cdot \sqrt[5]{x^2} \ \ ; \\\\\\ (6x-10)^2=x^2 \\\\ (6x-x-10)(6x+x-10) =0 \Rightarrow x_1=2 \ ; \ x_2=\frac{10}{7 }\)

Answer:

the mean is 3.95

median is 2.75

Step-by-step explanation:

I'd say that the mean is the better center, because you need to even it all out. you have one big number compared the rest.

The median is a better center for this data since since that number is the common size of acres not the highest or lowest acre per 1000 residents

Answer:

  P(-0.2, 2.2)

Step-by-step explanation:

You want the coordinates of point P that divides AB into segments with the ratio AP/PB = 3/7. The end points are A(-2, 1) and B(4, 5).

The point that divides AB in the ratio m/n is ...

  P = (mB +nA)/(m+n)

  P = (3(4, 5) +7(-2, 1))/(3+7) = (12 -14, 15 +7)/10

  P = (-0.2, 2.2)

The Kutta-Joukowski theorem, which is represented by equation (3.140), was originally derived for the case of a lifting cylinder. However, it can also be applied to a two-dimensional body of arbitrary shape, as stated in section 3.16.

A more detailed explanation of the answer.
To make a physical argument for this generalization, we can draw a closed curve around the body.

The key is to draw the curve far enough away from the body such that the body appears as a very small speck in the middle of the domain enclosed by the closed curve.

By doing this, we are essentially treating the body as a point object at the center of the curve. Since the body is now a very small speck in comparison to the large domain, its specific shape becomes insignificant to the overall flow around it.

Therefore, the lifting force calculations derived from the Kutta-Joukowski theorem for the lifting cylinder should also apply to the two-dimensional body of arbitrary shape, as long as the body is small in comparison to the domain enclosed by the closed curve.

This physical argument allows us to accept that equation (3.140) can be applied in general to a two-dimensional body of arbitrary shape without requiring a mathematical proof.

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Expected value of completion time of the project is 59 days and Variance of completion time of the project is 90 days^2.

In the scenario where the completion times of the activities are dependent with a correlation of 0.15, the variance of the completion time of the project is 122.7 days^2.

To determine the expected value and variance of the completion time of the project, we'll consider two scenarios: one where the completion times of the activities are independent and another where they are dependent with a correlation of 0.15.

Scenario 1: Independent Activities

Expected value of completion time of the project:

To calculate the expected value, we sum up the expected completion times of the activities along the critical path:

Expected value = 16 + 11 + 24 + 8 = 59 days

Variance of completion time of the project:

Since the activities are independent, the variance of the project completion time is the sum of the variances of the individual activities along the critical path:

Variance = 6^2 + 5^2 + 5^2 + 2^2 = 36 + 25 + 25 + 4 = 90 days^2

Scenario 2: Dependent Activities with Correlation 0.15

Variance of completion time of the project:

When the completion times of the activities are dependent and have a correlation of 0.15, we need to consider the covariance between the activities in addition to their variances.

Using the formula for the variance of a sum of correlated variables, the variance of the project completion time can be calculated as follows:

Variance = (variance of activity 1) + (variance of activity 2) + (variance of activity 3) + (variance of activity 4) + 2 * [(covariance between activities 1 and 2) + (covariance between activities 1 and 3) + (covariance between activities 1 and 4) + (covariance between activities 2 and 3) + (covariance between activities 2 and 4) + (covariance between activities 3 and 4)]

Using the given variances and the correlation, we can calculate the variance of the project completion time.

Variance = (6^2) + (5^2) + (5^2) + (2^2) + 2 * [(6 * 5 * 0.15) + (6 * 5 * 0.15) + (6 * 2 * 0.15) + (5 * 5 * 0.15) + (5 * 2 * 0.15) + (5 * 2 * 0.15)]

Simplifying the calculation:

Variance = 36 + 25 + 25 + 4 + 2 * [(4.5) + (4.5) + (1.8) + (3.375) + (1.5) + (1.5)]

Variance = 36 + 25 + 25 + 4 + 2 * [16.35]

Variance = 36 + 25 + 25 + 4 + 32.7

Variance = 122.7 days^2

Therefore, in the scenario where the completion times of the activities are dependent with a correlation of 0.15, the variance of the completion time of the project is 122.7 days^2.

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gradient, in mathematics, a differential operator applied to a three-dimensional vector-valued function to yield a vector whose three components are the partial derivatives of the function with respect to its three variables. The symbol for gradient is ∇.

Electrical potential acting on an ion and driving it in one direction or another is the definition of an electrical gradient..

The migration of particles (solutes) from a region of higher concentration to a region of lower concentration, separated by a membrane, is referred to as a concentration gradient.

An ion can travel across a membrane depending on the concentration of a solute thanks to an electrochemical gradient, which combines an electrical gradient with a concentration gradient.

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Answer:

The answer is D. x + 3

Step-by-step explanation:

The factors of 5x2 + 14x - 3 are:

(5x-1) and (x+3)

Answer:

16 managers

Step-by-step explanation:

Here, we want to calculate the numbered managers at the park

From the question, 4% of the 400 are managers

Thus;

4/100 * 400 are managers

= 1600/100 = 16

Answer: 5 feet

Step-by-step explanation:

The kangaroo added 2 feet of length to the shadow, therefore adding 2 feet of length of the 5 foot tree.

7-2=5

( sorry if it's confusing ^^ )

Phil's ball did not reach a higher maximum height than John's ball.

It should be noted that to determine whose tennis ball hit the court first, we need to find when each ball hits the ground. The equation for John's ball is given by:

f(t) = (-16t-2) (t-2)

Setting f(t) = 0, we can solve for t:

0 = (-16t-2) (t-2)

0 = 16t^2 - 30t + 4

0 = 8t^2 - 15t + 2

Using the quadratic formula, we get t as 1.04 seconds

So John's ball hits the ground at around 0.29 seconds and then again at around 1.04 seconds.

For Phil's ball, the equation is given by:

f(t) = (-16t-2) (t-2)

Setting f(t) = 0, we can solve for t:

0 = (-16t-2) (t-2)

0 = 16t^2 - 30t + 4

0 = 8t^2 - 15t + 2

Using the quadratic formula, we get t = 0.29 seconds or t ≈ 1.04 seconds

So Phil's ball hits the ground at around 0.29 seconds and then again at around 1.04 seconds.

Part 2: To determine the maximum height of Phil's ball, we need to find the vertex of the parabolic equation. The vertex of the parabolic equation f(t) = (-16t-2) (t-2) is at:

t = -b / (2a) = 15 / (2*16) ≈ 0.47 seconds

Substituting t = 0.47 seconds into the equation, we get:

f(0.47) ≈ 12.56 feet

So the maximum height of Phil's ball is approximately 12.56 feet.

To determine whether Phil's ball reached a higher maximum height than John's ball, we need to find the maximum height of John's ball. We can do this by completing the square:

f(t) = -16t^2 + 32t + 4

= -16(t^2 - 2t) + 4

= -16(t^2 - 2t + 1) + 20

= -16(t-1)^2 + 20

So the maximum height of John's ball is 20 feet.

Since 12.56 feet is less than 20 feet, Phil's ball did not reach a higher maximum height than John's ball.

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The statement is true.

An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process.

Given that,

From a linearly independent collection of {x₁, x₂,..., xp}, the gram-Schmidt process creates an orthogonal set of {v₁, v₂,..., vp} with the feature that for each k, the vectors v₁...vk span the same subspace as that spanned by x₁...xk.

Whether the claim is true or false must be determined.

The statement is true.

An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process. An orthogonal set is further linearly independent. The orthogonal set produced by the Gram-Schmidt process and the original set will cover the same subspace if their dimensions are the same.

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Answer:

+160

Step-by-step explanation:

Her withdraws added up is 100 which is taking away money, because withdraw means you take your money out of your checking account.

Deposits means you add more money into your account, so added up

-100 + 260 = 160

The  equation represents the length of the tail if the length of the kite is k should be considered as the 2k + 1.5.

Since

The tail of a kite is 1.5 feet plus twice the length of the kite. Together, the kite and tail are 15.5 ft long.

So here we assume the length be k

So here the equation be 2k + 1.5

Hence, the option d is correct.

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Answer:

V = BH

Step-by-step explanation:

B = area of the base

H = height of the prism

Probability that the sample mean hardness for a random sample of 44 pins is at least 51 = 0.1%

Rockwell hardness of pins of a certain type are known to have a

Mean value = μ = 50

Standard deviation = 1.8

n= 44

X = 51

Using Central Limit Theorem:

Z = (X- μ)/s

s =  \(1.8/\sqrt{n}\)

s = \(1.8/\sqrt{44}\)

s = 0.271

Z = (51-50)/0.271

Z = 1/0.271

Z = 3.69

Z = 3.7 has a p-value of 0.9999

so, 1-0.9999 = 0.0001

Probability that the sample mean hardness for a random sample of 44 pins is at least 51 = 0.1%

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Answer:

answer is 20+12x^6

Step-by-step explanation:

Multiply x^2+2x-3 by 2

length equals 2x^4+4x-6

simplify. 6x^5-6

multiply 2x2+3x+5 by 2

width equals 4x4+6x+10

simplify. 16+6x+10

simplify again. 26+6x

add length and width- 20+12x^6

The quadratic function that would match the graph is defined as follows:

f(x) = 4(x² - 6x + 5).

The graph is a parabola, hence the function is a quadratic function.

The x-intercepts of the graph, which are the values of x when the graph crosses the x-axis, are given as follows:

x = 1 and x = 5.

Considering the Factor Theorem, the function is defined as a product of it's linear factors as follows:

f(x) = a(x - 1)(x - 5)

f(x) = a(x² - 6x + 5).

In which a is the leading coefficient.

When x = 0, y = 20, hence the leading coefficient a is obtained as follows:

5a = 20

a = 20/5

a = 4.

Meaning that the function is:

f(x) = 4(x² - 6x + 5).

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Answer:

506π ft^2

Step-by-step explanation:

here's your solution

=> height of cylinder = 12 ft

=> radius of cylinder = 11 ft

=> surface area of cylinder = 2πr(h+r)

=> SA = 2*11(12+11)*π

=> SA = 22*23π

=> SA = 506π ft^2

hope it helps

IS there any more information you could give?

Answer:

Step-by-step explanation:

(sinФ)^2+(cosФ)^2=1

(7/10)^2 +(cosФ)^2=1

(cosФ)^2= 1-(7/10)^2 = √51/10

Answer:-4

Step-by-step explanation:

Step-by-step explanation:

I cant see the question but use the formula

y=mx+b

m=slope

b=y-intercept

you can also use the equation

y2-y1/x2-x1 to find slope.

since its a table, you can plug the x (input) and y (output) coordinates of the table to find the slope.

Answer:

x = 15

Step-by-step explanation:

48/12 = 4

60/4 = 15

Essentially, find the growth rate and divide the larger number by that number, or if you were given the smaller number (15), you would simply need to multiply 15 by 4 to find 60.

Given statement solution :-The correct answer is: IQR, because Sunny Town is skewed and Desert Landing is symmetric.

Frequency is a count of the number of times a specific event occurs. A Frequency Histogram, then, is a Histogram where the height of each bar is a frequency, or count, of the number of data points within that bar's range.

The measure of variability that should be used for both sets of data to determine the location with the most consistent temperature is the IQR (Interquartile Range).

The IQR is a measure of the spread or dispersion of a dataset and is less affected by extreme values or outliers compared to the range. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of the dataset.

In this case, the choice of IQR is appropriate because it can handle skewed distributions (like Sunny Town) and symmetric distributions (like Desert Landing) effectively. The IQR provides a robust measure of the spread that is not heavily influenced by extreme values, making it suitable for comparing the consistency of temperature between the two locations.

Therefore, the correct answer is: IQR, because Sunny Town is skewed and Desert Landing is symmetric.

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Answer:

\(a^{2}\)

Step-by-step explanation:

√a^4 is the same as:

√a × √a × √a × √a

group them as 2 pairs of

(√a × √a) × (√a × √a)

which makes

a × a

which is the same as \(a^{2}\)

Answer:

2350

Step-by-step explanation:

Answer:

2350

Step-by-step explanation:

You just add both of the apple and cranberry juice together then subtract by 1900.

Step-by-step explanation:

what do you need now ? to solve it ?

then we try to bring all terms in x on one side of the equation, and all constants on the other.

so, we add 3x to and subtract 1 from both sides.

8x = -16

and now we simply divide both sides by 8 and get

x = -2

and we are done.