If BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6. What is AC?

Gender is the independent variable (IV) and Galvanic Skin Response (GSR) is the dependent variable (DV). This means that you are investigating how differences in gender might affect the GSR.

So, the correct is A. Gender: GSR

Gender, as the IV, refers to the classification of individuals as male, female, or other, while GSR, as the DV, is a physiological measure of emotional arousal, often used in psychological research.

By examining the relationship between these two variables, you aim to determine whether variations in gender have any impact on GSR levels.

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Answer:

Write the mixed number as a decimal. 83/5

16.6

Angle A is 19 degrees.

Angle C is 90 degrees.

Side a is approximately 7.83.

Side c is approximately 34.50.

To solve the right triangle given that B = 71 degrees and b = 24, we can use the trigonometric ratios sine, cosine, and tangent.

Finding Angle A:

Angle A is the complementary angle to B in a right triangle, so we can calculate it using the equation:

A = 90 - B

Substituting the given value, we have:

A = 90 - 71

A = 19 degrees

Therefore, Angle A is 19 degrees.

Finding Angle C:

Since it is a right triangle, Angle C is always 90 degrees.

Therefore, Angle C is 90 degrees.

Finding Side a:

We can use the sine ratio to find the length of side a:

sin(A) = a / b

Rearranging the equation to solve for a, we have:

a = b * sin(A)

Substituting the given values, we have:

a = 24 * sin(19)

a ≈ 7.83

Therefore, the length of side a is approximately 7.83.

Finding Side c:

Using the Pythagorean theorem, we can find the length of side c:

c^2 = a^2 + b^2

Substituting the given values, we have:

c^2 = 7.83^2 + 24^2

c^2 ≈ 613.68 + 576

c^2 ≈ 1189.68

Taking the square root of both sides to solve for c, we have:

c ≈ √1189.68

c ≈ 34.50

Therefore, the length of side c is approximately 34.50.

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Answer: 1 is 77 3 is 231 5 is 308 and 7 is 385

Step-by-step explanation:

Answer:

Proved

Step-by-step explanation:

picture above explains it but it requires me 20 words in order to answer this question so don't mind this. (If anyone is willing to help me answer my chemistry question, thanks)

a) angular speed = α = (2*g)/R

b) The magnitude of angular acceleration = |α| = (2*g)/R

c)  x-acceleration of center of mass is zero, y-acceleration of center of mass is a_y = Rα = 2g

d) Force at the pivot is M*g

A horizontal rod has a disk with center of mass R from pivot. Gravitational force generates torque by acting perpendicularly to radius.

τ = F_gravity * R = MgR

Torque = moment of inertia × angular acceleration (due to gravitational force on disk).

τ = I * α

MgR = (1/2)MR^2*α

α = (2*g)/R

The magnitude of the angular acceleration is given by:

|α| = (2*g)/R

At horizontal position, x-acceleration of center of mass is zero due to pivot point fixed in x-direction. The y-acceleration of center of mass is given by the expression.

a_y = Rα = 2g

d) When the rod is horizontal, the reaction force at pivot is perpendicular to rod and equal in magnitude to gravitational force on disk.

F_pivot = F_gravity = M*g

The reaction force at pivot has zero x and y components as it acts perpendicular to both axes.

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Given vector field, F(x, y, z) = y cos (xy) i + x cos (xy) j – sin z k To calculate the curl of F, we need to take the curl of each component and subtract as follows,∇ × F = ( ∂Q/∂y - ∂P/∂z ) i + ( ∂P/∂z - ∂R/∂x ) j + ( ∂R/∂x - ∂Q/∂y ) k...where P = y cos(xy), Q = x cos(xy), R = -sin(z)

Now we calculate the partial derivatives as follows,

∂P/∂z = 0, ∂Q/∂y = cos(xy) - xy sin(xy), ∂R/∂x = 0...

and,

∂P/∂y = cos(xy) - xy sin(xy), ∂Q/∂z = 0, ∂R/∂y = 0

Therefore,

∇ × F = (cos(xy) - xy sin(xy)) i - sin(z)j

The curl of F is given by:

(cos(xy) - xy sin(xy)) i - sin(z)j.

To state whether F is conservative, we need to determine if it is a conservative field or not. This means that the curl of F should be zero for it to be conservative. The curl of F is not equal to zero. Hence, the vector field F is not conservative. Let C be the curve joining the origin (0,1,-1) to the point with coordinates (1, 2V2,2) defined by the following parametric curve:

r(t) = n* i + t}j + tcos atk, 15t52.

The curve C is defined as follows,r(t) = ni + tj + tk cos(at), 0 ≤ t ≤ 1Given vector field, F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk Using the curve parameterization, we get the line integral as follows,∫CF.dr = ∫10 F(r(t)).r'(t)dt...where r'(t) is the derivative of r(t) with respect to t

= ∫10 [(t cos(at))(cos(n t)) i + (n cos(nt))(cos(nt)) j + (-sin(tk cos(at)))(a sin(at)) k] . [i + j + a tk sin(at)] dt

= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) + (-a t sin(at) cos(tk))(a sin(at))] dt

= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) - a^2 (t/2) (sin(2at))] dt

= [sin(at) sin(nt) - (a/2) t^2 cos(2at)]0^1

= sin(a) sin(n) - (a/2) cos(2a)

The vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is given. Firstly, we need to calculate the curl of F. This involves taking the curl of each component of F and subtracting. After calculating the partial derivatives of each component, we get the curl of F as (cos(xy) - xy sin(xy)) i - sin(z)j. Next, we need to determine whether F is conservative. A conservative field has a curl equal to zero. As the curl of F is not equal to zero, it is not a conservative field. In the second part of the problem, we have to calculate the scalar line integral of the vector field F. dr along the curve C joining the origin to the point with coordinates (1, 2V2, 2). We use the curve parameterization to calculate the line integral. After simplifying the expression, we get the answer as sin(a) sin(n) - (a/2) cos(2a).

The curl of the given vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is (cos(xy) - xy sin(xy)) i - sin(z)j. F is not conservative as its curl is not zero. The scalar line integral of the vector field F along the curve C joining the origin to the point with coordinates (1, 2V2,2) is sin(a) sin(n) - (a/2) cos(2a).

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Answer:

Page 1

a) plane ABC or plane ABF (really any combo of A, C, B, and F since they all lie on the plane)

b) B, C, F

c) A or B (they both lie on the same line)

d) AC or BC or AB (all variations of the same line)

Page 2

1)perpendicular

2) perpendicular

3) parallel

Page 3

a) ∠RQS and ∠SQR

b)∠TQR and ∠RQT

c) point Q

Hope this helps :))

Answer: Read below

Step-by-step explanation: Substituting 0 into x and y, you get the intercepts (0, -3.5) and (5, 0). Using these two points, you can connect them and get the line :>

Answer:

The correct option is (B).

Step-by-step explanation:

In this case, we need to test whether the claim made by the new brand of gym shoe is correct or not.

Claim: A new brand of gym shoe claims to add up to 2 inches to an athlete’s vertical leaps.

So, we need to test whether the average vertical leap of all the athletes increased by 2 inches or not after using the new brand of gym shoe.

The sample procedure would be to compute the average vertical leap of a group of athletes in their regular shoes (or a different pair) and the average vertical leap of a group of athletes in their new shoes.

Compare the two averages to see whether the difference is 2 inches or not.

The experimental group would be the one with the new shoes and the control group would be the one with the different pair of shoes.

Thus, the correct option is (B).

Answer:

B) Find the average vertical leap of all the athletes in their regular shoes. Give the experimental group the new shoes and the control group a different pair of shoes. Find the average vertical leap of the athletes in both groups. Compare the increases in vertical leap for each group.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

let the number be n then half the number is \(\frac{1}{2}\) n , so

\(\frac{1}{2}\) n + 69 = 74 ( subtract 69 from both sides )

\(\frac{1}{2}\) n = 5 ( multiply both sides by 2 to clear the fraction )

n = 10

Thus the number is 10

1) the customer would pay $20,000 for this order if they are paying and picking it up on the same day.

2) if the customer is paying in three days, they would pay $19,008 for this order.

1) If the customer is paying and picking up the flowers on the same day, they would pay for the total weight of the flowers without accounting for any water loss.

The total weight of the flowers is 100 kg. Since each kilogram of flowers is sold for $200, the customer would pay:

Total cost = 100 kg * $200/kg = $20,000

Therefore, the customer would pay $20,000 for this order if they are paying and picking it up on the same day.

2) If the customer is paying in three days, we need to account for the water loss of 4% that the flowers will experience during that time.

The flowers contain 99% water initially, so after losing 4% of this water, the flowers will retain 95.04% of their original weight (100% - 4% = 96%, and 96% of 99% = 95.04%).

To calculate the weight of the flowers after the water loss:

Weight after water loss = 100 kg * (95.04/100) = 95.04 kg

The customer will pay based on the reduced weight of the flowers. Therefore, the customer would pay:

Total cost = 95.04 kg * $200/kg = $19,008

Therefore, if the customer is paying in three days, they would pay $19,008 for this order.

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Answer:

8/4 < 5/2 is true

Step-by-step explanation:

8/4 = 2

5/2 = 2.5 or 2 1/2

Answer: D

Step-by-step explanation: 8/4 = 1/2  so 5/2 is over 1/2

The walls of the archway are approximately 8.9 apart.

To find the distance between the walls of the archway, we need to find the horizontal distance where the function f(x) intersects the x-axis. This is because the archway's walls are vertical, and their distance apart is the same as the horizontal distance between the points where the archway meets them.

To find the x-intercepts of the function f(x) = -0.5x^2 + 10, we need to set f(x) = 0 and solve for x:

0 = -0.5x^2 + 10

0.5x^2 = 10

x^2 = 20

x = ±√20

Since the archway is a physical object, we can discard the negative value for x, which means the archway meets the walls at x = √20 feet.

To find the distance between the walls of the archway, we can double this value:

2√20 ≈ 8.94

Then it's concluded that the walls of the archway are approximately 8.9 feet apart.

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The statements that are True about the Correlations is , "Correlations are a measure used to determine the degree to which two variables are related" , the correct option is (c) .

In the question,

few statements about Correlation is given ,

we need to find the statement that is True .

we know that , Correlation is the term that is used to measure the degree of relationship between two variable ,

the correlation can be negative , positive or 0 ,

and the negative correlation implies that if one variable increases then other variable decreases and vice a versa .

So , from the above information about Correlation ,

we conclude that , the True statement is "Correlations are a measure used to determine the degree to which two variables are related. "

Therefore , the statement in option (c) is True  .

The given question is incomplete , the complete question is

Select the statement below that is true about correlations.

(a) Correlations can only be negative

(b) Correlations are a measure of how much one variable changes as the other variable changes

(c) Correlations are a measure used to determine the degree to which two variables are related.

(d) Correlations are a measure of causation between two variables

(e) A negative correlation implies no relationship between variables

(f) Correlations can only be positive .

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Answer:

Step-by-step explanation:

7 - 3(-3) - 3(7) = 7 + 9 - 21 = 16 - 21 = -5

Answer:

-5

Step-by-step explanation:

(Refer to image)

Plug in the y and z and use order of operations to simplify!

Answer:

250 is the answer

Step-by-step explanation:

200 to start and 50 for monthly and its one month so 250

The lower quartile is 2, the median is 5 and the upper quartile is 8.

What are quartiles?

The values that divide a list of numerical data into three quarters are known as quartiles.

We are given a data set as 1, 2, 3, 5, 5, 8, 8

From this, we get the median as 5 as median is the middle number of the data set.

We know that lower quartile is the median of the lower half of the data.

So, lower quartile is 2.

Upper quartile is the median of the upper half of the data.

So, upper quartile is 8.

Hence, the lower quartile is 2, the median is 5 and the upper quartile is 8.

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Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

The equilibrium price is the price at which the quantity demanded equals the quantity supplied.

Looking at the graph, we can see that the demand curve intersects the supply curve at a quantity of approximately 200 million boxes. To find the corresponding equilibrium price, we need to find the price level at this quantity.

From the graph, we can observe that the price axis ranges from $20 to $40. Since the graph is not accurately scaled, we can estimate the equilibrium price to be around $30 per box based on the midpoint of the price range.

Therefore, the equilibrium price in this market is approximately $30 per box.

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1   Y is distributed as N(aμ + b, a^2σ^2), as desired.

2  We have shown that under these conditions, E[XY] = E[X]E[Y].

To prove that Y is distributed as N(aμ + b, a^2σ^2), we need to show that the mean and variance of Y match those of a normal distribution with parameters aμ + b and a^2σ^2, respectively.

First, let's find the mean of Y:

E(Y) = E(aX + b) = aE(X) + b = aμ + b

Next, let's find the variance of Y:

Var(Y) = Var(aX + b) = a^2Var(X) = a^2σ^2

Therefore, Y is distributed as N(aμ + b, a^2σ^2), as desired.

We can use the definition of covariance to prove that E[XY] = E[X]E[Y]. By the properties of expected value, we know that:

E[XY] = ∫∫ xy f(x,y) dxdy

where f(x,y) is the joint probability density function of X and Y.

Then, we can use the fact that X and Y are independent to simplify the expression:

E[XY] = ∫∫ xy f(x) f(y) dxdy

= ∫ x f(x) dx ∫ y f(y) dy

= E[X]E[Y]

where f(x) and f(y) are the marginal probability density functions of X and Y, respectively.

Therefore, we have shown that under these conditions, E[XY] = E[X]E[Y].

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Answer: A, B, C, and D have the same volumes:  100 units^3

Step-by-step explanation:

The details are attached.  Use the volume formula for the respective shapes.  Bear in mind that B is he area of the base (I assume).  It is the

\(\pi\)\(r^{2}\) in the formulas that have a round base, and the width x length for bases that are rectangular (or square).

Answer:

C 11

Step-by-step explanation:

you have 1 less penny than dimes which is 10 pennies

you have 2 less nickels than dimes which is 9

11+10+9=30

The solutions of x² + 4x > 77 is x < –11 or x > 7

An equation is a mathematical expression that states that two algebraic expressions must be equal in nature. Finding the value of a variable in an equation indicates the process of solving an equation. The solution of the equation is the value that was determined while solving the equation.

Here we have

x² + 4x > 77  

Subtract -77 from both sides

=> x² + 4x - 77 > 77 - 77  

=> x² + 4x - 77 > 0

The above expression can be factorized as follows

=>  x² + 11x - 7x - 77 > 0     [ Split middle term ]

=> x(x + 11) - 7(x + 11) > 0  

=> (x + 11) (x - 7) > 0

=> (x + 11) > 0              (x - 7) > 0

=> x < -11                       x > 0

Therefore,

The solutions of x² + 4x > 77 is x < –11 or x > 7

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Answer:

A customer would have to own a cell phone for 5 months in order for the two companies to be equal.

Step-by-step explanation:

Given that:

Cost of cell phone at Verizon = $300

Monthly fee = $40

Let,

x be the number of months

V(x) = 40x + 300

Cost of cell phone at T-mobile = $200

Monthly fee = $60

T(x) = 60x + 200

For equal amount of money,

V(x) = T(x)

40x+300=60x+200

300-200=60x-40x

100=20x

20x=100

Dividing both sides by 20

\(\frac{20x}{20}=\frac{100}{20}\\x=5\)

Hence,

A customer would have to own a cell phone for 5 months in order for the two companies to be equal.

The Python script above prompts the user for the values of a, b, c, x, and y, and then tests whether the point (x, y) lies on the parabola described by the equation y=ax^2+bx+c. If the point lies on the parabola, the script prints out a message stating this. Otherwise, the script prints out a message stating that the point does not lie on the parabola.

The function is_on_parabola() takes in the values of a, b, c, x, and y, and then calculates the value of the parabola at the point (x, y). If the calculated value is equal to y, then the point lies on the parabola. Otherwise, the point does not lie on the parabola.

The main function of the script prompts the user for the values of a, b, c, x, and y, and then calls the function is_on_parabola(). If the point lies on the parabola, the script prints out a message stating this. Otherwise, the script prints out a message stating that the point does not lie on the parabola.

To run the script, you can save it as a Python file and then run it from the command line. For example, if you save the script as parabola.py, you can run it by typing the following command into the command line:

python parabola.py

This will prompt you for the values of a, b, c, x, and y, and then print out a message stating whether or not the point lies on the parabola.

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