When two explanatory variables are associated with the response variable and each other they are called __________ variables.

Answer:

! will edit once i get a response !

Step-by-step explanation:

do you have a picture? if so, please upload it

The equation of the tangent line to the curve are  \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).

It is required to find the solution.

A tangent is a line that touches the edge of a curve or circle at one point, but does not cross it. The tangent line to a curve at a point is that straight line that best approximates (or “clings to”) the curve near that point.

Given:

\(y=8\frac{lnx}{x} \\\\y'=8(\frac{1/x*x-lnx*1}{x^{2} } \\\\y'=\frac{1-lnx}{x^{2} }\)

Now, we find the slope of the tangent by inserting the point (1,0) into the derivative.

\(m_{tangent}=\frac{1-ln1}{1^{2} }\\\\m_{tangent}=1-0/1\\\\m_{tangent} =1\)

We can now find the equation, because we know the slope and a point (1, 0).

\(y-y_{1} =m(x-x_{1} )\\\)

y-0=1(x-1)

y=x-1

We can now find the equation, because we know the slope and a point (e, 8/e).

\(y-y_{1} =m(x-x_{1} )\\\\y-8/e=1(x-e)\\\\y=\frac{xe-e^{2}+8 }{e}\)

Therefore, the equation of the tangent line to the curve are  \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).

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Answer:

$535

Step-by-step explanation:

First step is figure out what's 7% of 500, and then you can add the numbers together. To make it simpler, you can multiple 500 by 1.07, which would include the sales tax and the 500 altogether to get the answer.

Answer: A function is a relation between domain and range such that each value in the domain corresponds to only one value in the range. Relations that are not functions violate this definition. They feature at least one value in the domain that corresponds to two or more values in the range.

Step-by-step explanation:

The probability that a score will be greater than 82 in a normal distribution with a mean of 78 and a standard deviation of 7 is 28.43%. Correct option is D.

To calculate the probability that a score will be greater than 82 in a normal distribution with a mean of 78 and a standard deviation of 7, we need to use the standard normal distribution and the z-score.

First, we can find the z-score for 82 using the formula:

z = (x - mu) / sigma

where x is the value of interest (in this case, 82), mu is the mean (78), and sigma is the standard deviation (7).

z = (82 - 78) / 7

z = 0.57

Next, we can use a z-table or a calculator to find the area under the standard normal curve corresponding to a z-score of 0.57. The area represents the probability that a score will be greater than 82.

Using a standard normal table, we find that the area to the right of z = 0.57 is 0.2843 or approximately 28.43%. Therefore , correct option is D.

In conclusion, by calculating the z-score and using a standard normal distribution table, we can find the probability that a score will be greater than a certain value in a normal distribution with a known mean and standard deviation.

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Complete question is:

A normal distribution with a mean of 78 and a standard deviation of 7, what is the probability that a score will be greater than 82?

group of answer choices

A. 23.89%

B. 26.11%

C. 76.11%

D. 28.43%

E. 52.22%

Answer:

Use the slope-intercept form to find the slope and y-intercept.

Slope: −3 . y-intercept: (0,4)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

X   Y

0    4

3/4  0

Graph the line using the slope and the y-intercept, or the points.

Slope: −3.  y-intercept: (0,4)

x    y

0    4

4/3 0

Step-by-step explanation:

The functions represented on the graph are (b)

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

The graph

On the graph, we have the following intervals:

When the intervals are represented as inequalities, we have the following:

This means that the intervals of the graphs are x ≤ 2 and x > 2

From the list of options, we have the graph to be option (b

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In terms of classical conditioning, crinkling the bag of kitty treats serves as the conditioned stimulus. Classical conditioning involves the association of a neutral stimulus (conditioned stimulus) with a naturally occurring stimulus (unconditioned stimulus) to elicit a response.

Classical conditioning is a type of learning in which a neutral stimulus becomes associated with a naturally occurring stimulus to elicit a response. In this scenario, crinkling the bag of kitty treats is the neutral stimulus that becomes associated with the naturally occurring stimulus, which is the pleasure of eating treats for the cat.

The conditioned stimulus is the previously neutral stimulus that, through repeated pairing with the unconditioned stimulus (the naturally occurring stimulus), triggers a response. In this case, the crinkling sound of the bag becomes the conditioned stimulus because it is repeatedly paired with the unconditioned stimulus (the pleasure of eating treats), leading to the cat's response of coming running when it hears the bag being crinkled.

Over time, the cat learns to associate the sound of the crinkling bag with the reward of receiving treats, and the conditioned response of coming running is elicited by the conditioned stimulus alone, even without the presence of the unconditioned stimulus (the actual treats). This demonstrates the process of classical conditioning.

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In the XY plane, the circles with equations (x-3) + y = 11 and (x+2) + y = r are externally tangent. the value of r is -6.

Generally, To find the value of r, we can start by solving for the centers and radii of the two circles.

The equation of the first circle is of the form (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. We can rewrite the equation of the first circle as (x - 3)² + y² = 11², so the center of the circle is (3, 0) and the radius is 11.

The equation of the second circle is also of the form (x - h)₂ + (y - k)₂ = r². We can rewrite the equation of the second circle as (x + 2)² + y² = r², so the center of the circle is (-2, 0) and the radius is r.

Since the two circles are externally tangent, the distance between their centers is equal to the sum of their radii. Therefore, the distance between the centers is equal to 11 + r. We can use the distance formula to find the distance between the centers:

distance = √((h₂ - h₁)^2 + (k₂ - k₁)²)

Plugging in the coordinates of the centers, we get:

distance = √((-2 - 3)^2 + (0 - 0)^2) = √(5^2 + 0^2) = √(25) = 5

Since the distance between the centers is equal to the sum of the radii, we can set up the equation:

5 = 11 + r

Solving for r, we get:

r = 5 - 11 = -6

Therefore, the value of r is -6.

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The scale factor of the dilation of the triangles is 2

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

The similar triangles

The scale factor of the dilation is the division of the corresponding sides

So, we have

Scale factor = 6/3

When evaluated, we have

scale factor = 2

Hence the scale factor is 2

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According to fraction and ratio, second dog is 3/2 feet long.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

First dog is 5 feet long.

then,

5 feet is equal to 4/5 of the second dog's length.

multiply both sides by 5/4.

5/4 x 5 feet is the second dog's length.

The second dog is 25/4 feet long.

The second dog is 6(1/4) feet long.

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To find the differential of f(x,y) at the point (1,3), we need to compute its partial derivatives with respect to x and y at that point, and then combine them with the differentials of x and y using the formula:

df = (∂f/∂x) dx + (∂f/∂y) dy

where df is the differential of f, dx and dy are small changes in x and y, and (∂f/∂x) and (∂f/∂y) are the partial derivatives of f with respect to x and y, respectively.

∂f/∂x = \((1/2) (x^2 + y^3)^(-1/2) * 2x = x / \sqrt{ (x^2 + y^3)}\)

∂f/∂y = \((1/2) (x^2 + y^3)^{-1/2} * 3y^2 = (3y^2) / (2 \sqrt{(x^2 + y^3))\)

Now, we can plug in the values x = 1, y = 3 to get the partial derivatives at the point (1,3):

∂f/∂x (1,3) = 1/10

∂f/∂y (1,3) = \((27/10)\sqrt{10}\)

we have df = (∂f/∂x) dx + (∂f/∂y) dy = \((1/10) dx + (27/10)\sqrt{10}dy\)

Note that we didn't specify the values of dx and dy, as they represent small changes in x and y around the point (1,3). The differential df represents the corresponding small change in f around that point.

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Answer:

22 feet and 11 inches i think oof

Step-by-step explanation:

==========================================================

Explanation:

The primes in this list are: {2,3,5}

The value 1 is not prime.

We have 3 primes out of 5 values total, so 3/5 = 0.6 = 60% of the list is prime. That makes 100% - 60% = 40% of values are not prime

This is the probability of getting a non-prime number.

Answer:

40%

Step-by-step explanation:

Prime numbers are whole numbers greater than 1 that only have 2 factors, for example, 2, 3, 5, 7, 11 are all prime numbers

In this data set 2, 3, and 5 are all prime numbers

3 out 5 numbers are prime

so the fraction is  \(\frac{3}{5}\)

after you have found the fraction, you can divide it to find the percentage

In this case, when you divide the fraction you get 0.6

to make this a percentage you move the decimal place two spaces to the right. so 60%

60% are the values that are prime so you do this equation

100%-60%=40%

Using the relation between velocity, distance and time, it is found that she traveled 15 seconds at 10 m/s and 7 seconds at 50 m/s.

Velocity is distance divided by time, that is:

v = d/t.

For the first part, we have that she cycled a distance of d m in t seconds, at a velocity of 10 m/s, hence:

10 = d/t

d = 10t.

For the second part, we have that she cycled a distance of 500 - d meters, in 22 - t seconds, at a velocity of 50 m/s, hence:

50 = (500 - d)/(22 - t).

Since d = 10t, and applying cross multiplication:

500 - 10t = 50(22 - t)

500 - 10t = 1100 - 50t

40t = 600

t = 600/40

t = 15.

22 - t = 22 - 15 = 7, hence:

She traveled 15 seconds at 10 m/s and 7 seconds at 50 m/s.

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Answer:

60^2/5

Step-by-step explanation:

2^2/5 × 5^2/5

=(12×5)^2/5

=60^2/5

\(\huge\text{Hey there!}\)

\(\huge\textsf{12}}^ \mathsf{^ {\dfrac{2}{5}}}\ \huge\boxed{\times}\ \huge\textsf{5}^\mathsf{^ \dfrac{2}{5}}\)

\(\huge\boxed{=}\huge\textsf{ 2.70192 }\huge\boxed{\times}\huge\textsf{ 1.903654}\)

\(\huge\boxed{= }\huge\textsf{ 60}^\mathsf{\dfrac{2}{5}}\)

\(\huge\boxed{\approx}\huge\textsf{ 5.143521}\)

\(\huge\text{Therefore, the answer is: \boxed{\textsf{60}^\mathsf{^\dfrac{2}{5}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

big oily men like u

Answer:

M:48
A:12

Step-by-step explanation:

M=4A
M-8=(A+8)2
M=2A+24
4A=2A+24
2A=24
A=12
M=48

Answer:

Option A

Step-by-step explanation:

The value of the standard error of the mean is 1.256.

We have given that,

Some stores print multiple coupons and advertisements on their receipts, making the receipts unusually long.

A curious shopper makes the same purchase at a random sample of 10 stores and measures the length of each receipt (in inches).

Here are the results,

8.25, 7.5, 5, 9.5, 12, 5.5, 9, 14, 11.5, 18.

The standard error of the mean, or simply standard error, indicates how different the population means is likely to be from a sample mean. It tells you how much the sample means would vary if you were to repeat a study using new samples from within a single population.

Therefore, The value of the standard error of the mean is 1.256.

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Answer:

1. 295.262 liters

2. 107770.63 liters in a year

Step-by-step explanation:

i'm not sure about number 2, but i got that by multiplying 295.262 liters times 365 cuz there are 365 days in a year. i hope this helps!

For confidence interval: support of the association rule A to B is 0.5 and the confidence of the association rule A to B is 0.5.

For Support and confidence of the association rule A - B

To determine the support and the confidence of the association rule A → B, where A = {1, }, B = {1}, we use the formulas given below:

Support(A → B) = frequency of (A, B) / N

Confidence(A → B) = frequency of (A, B) / frequency of A

where N is the number of transactions in the database.

To find the frequency of (A, B) and the frequency of A.

Thus Frequency of (A, B) = 1

Since there is only one transaction in the database where both A and B occur, the frequency of (A, B) is 1.

Frequency of A = 2

The itemset {1, } occurs in two transactions T₁ and T₂.

Hence, the frequency of A is 2.

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Donald will have $210 at the end of the year

Given that the principal amount Donald is having at the start of the year is $200 and the rate of interest per annum is 5%.

Since the interest is not compounded, at the end of the year the amount of interest he will be earning = 0.05 x 200 = $10 (since interest is not compounded)

From, the above analysis, Donald is earning $10 of interest per annum from $200.

Now, Total money Donald will be having in 1 year = principal amount + interest earned money = $200 + $10 = $210

From the above solution, we can conclude that Donals is having $210 in total for one year.

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Answer:

y=70

x=55

Step-by-step explanation:

In an equilateral triangle, all the angles measure 60 degrees. Knowing this, we can set the following equations:

\(60=y-10\\60=x+5\)

\(60=y-10\)

Add 10 to both sides

\(60+10=y-10+10\\70=y\)

\(60=x+5\)

Subtract both sides by 5

\(60-5=x+5-5\\55=x\)

I hope this helps!

Answer:

x is 55° & y is 70°.

Step-by-step explanation:

This is an equilateral triangle.

In an equilateral triangle all sides are 60°

So,

1) x+5 = 60

x = 55°.

2) y-10 = 60

y = 70°.

Answer: x is 55° & y is 70°.

Answer:

brandon paid $35 more than retail value.

Answer:

Dirty 5 more than retail value

Answer:

(2,0)

Step-by-step explanation:

-hope it helps

The diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

Given data: Initial velocity, u = 0 ft/sec

Acceleration, a = g = 32.2 ft/sec²

The maximum rate of fall, vmax = 80 mph

Time, t = 2 seconds

Air resistance constant, Ar = 0.2

We are supposed to determine the sky diver's velocity during the first 2 seconds of fall using the modified Euler method.

The governing equation for the velocity of the skydiver is given by the following:

ma = -m * g + k * v²

where, m = mass of the skydive

r, g = acceleration due to gravity, k = air resistance constant, and v = velocity of the skydiver.

The equation can be written as,

v' = -g + (k / m) * v²

Here, v' = dv/dt = acceleration

Hence, the modified Euler's formula for the velocity can be written as

v1 = v0 + h * v'0.5 * (v'0 + v'1)

where, v0 = 0 ft/sec, h = 2 sec, and v'0 = -g + (k / m) * v0² = -g = -32.2 ft/sec²

As the initial velocity of the skydiver is zero, we can write

v1 = 0 + 2 * (-32.2 + (0.2 / 68.956) * 0²)0.5 * (-32.2 + (-32.2 + (0.2 / 68.956) * 0.5² * (-32.2 + (-32.2 + (0.2 / 68.956) * 0²)))

v1 = 62.732 mph

Therefore, the skydiver's velocity during the first 2 seconds of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

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Answer:

3, -3

Step-by-step explanation:

The absolute value of a number is always positive. Therefore, the absolute value of -3 is 3.

Answer:

The absolute value is 3

Step-by-step explanation:

The absolute value of 3 is 3. And here is another example The absolute value of -3 is 3. hope this helps.Please give brainliest.

Answer:

Step-by-step explanation:

To determine whether each equation shows direct variation, inverse variation, or neither, we can examine the structure of the equation and compare it to the general forms of direct and inverse variation.

Direct Variation: A direct variation equation is of the form y = kx, where k is a constant. This means that y and x are directly proportional to each other.

Inverse Variation: An inverse variation equation is of the form y = k/x or xy = k, where k is a constant. This means that y and x are inversely proportional to each other.

a) y = 6x: This equation is in the form of direct variation, y = kx, where k = 6. Answer: Direct variation.

b) y = 2/x: This equation is in the form of inverse variation, y = k/x, where k = 2. Answer: Inverse variation.

c) y = x - 1: This equation does not fit the forms of either direct or inverse variation. It represents a linear relationship where y and x are not directly or inversely proportional. Answer: Neither direct nor inverse variation.

d) y - 2 = x: This equation represents a linear relationship where y and x are not directly or inversely proportional. Answer: Neither direct nor inverse variation.

e) xy = 7: This equation is in the form of inverse variation, xy = k, where k = 7. Answer: Inverse variation.

f) 5y = x: This equation is in the form of direct variation, y = kx, where k = 1/5. Answer: Direct variation.

Shortcut: To quickly identify direct variation, look for an equation in the form y = kx, where k is a constant. For inverse variation, look for an equation in the form y = k/x or xy = k, where k is a constant. If the equation does not fit these forms, it represents neither direct nor inverse variation.

Answer:

-3.6

Step-by-step explanation:

The general equation of a straight line formula is represented as y = mx + c, where m is the gradient or slope of the line and c is called the intercept on the y-axis.

The equation of the line in the question above is y= −3.6x + 59 ,

Therefore comparing both equations together,

y = mx + c = y = −3.6x + 59

m = -3.6

Therefore, the slope of the equation represent in this scenario is -3.6