PLEASE HELP
Match each addition operation to the correct sum

The slope of the curve at (-2, -5) is m = 0.So, f′(-2) = 0And the equation of the curve is f(x) = -5.Therefore, f(-2) = -5.

Given equation of the tangent line is y = 4x - 2. Therefore, the slope of the tangent line is 4.At x = 5, we have a - 5 = 0, i.e. a = 5. Thus, the point of tangency is (5, f(5)).Using the point-slope form of the equation of the tangent line, we get;y - f(5) = 4(x - 5)y - f(5) = 4x - 20We know that y - f(x) = 4x - 2.f(x) = y - 4x + 2.

Using this equation, we get;f(5) = y - 4x + 2f(5) = -20 + 4 * 5 + 2f(5) = -10And f′(5) is the slope of the curve at x = 5.So, f′(5) = 4.(b) Given equation of the tangent line is y - f(x) = m(x - a)Substituting the given values, we get; y + 5 = m(x + 2)At point (-2, -5), we have f(-2) = -5.Substituting the point (-2, -5) in the equation of tangent, we get;-5 + 5 = m(-2 + 2)m = 0.

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Answer: B, C, and E

Step-by-step explanation:

The values must add up to 180 for it to be a triangle. X and Y especially need to add up to 120.

Answer:

Rational

Step-by-step explanation

It can only be irrational if it repeated, but this one doesn't so it is rational.

Hope that helped

Answer:

THIS graph represents the inequality

2x>12

The value of the equation gives mILR = 52°.

Since TL is a diameter, we know that mICR + m/RCL = 90°. Substituting the given values, we get:  (3x + 5)° + (x - 1)° = 90°

Simplifying the equation, we get:

4x + 4 = 90

Solving for x, we get:

x = 22

Therefore, x = 22.

2. Since TL is a diameter, we know that mICR = 90°. Substituting the value of x, we get:

mICR = (3x + 5)° = (3 × 22 + 5)° = 71°

Therefore, mICR = 71°.

3. Since TL is a diameter, we know that mILR = 180° - mICR - m/RCL. Substituting the values of x, we get:

mILR = 180° - (3x + 5)° - (x - 1)° = 180° - 4x - 4°

Substituting the value of x, we get:

mILR = 180° - (4 × 22 + 4)° = 52°

Therefore, mILR = 52°.

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The ordered pair (5,200) represent in this situation is a straight line passing through y = 20x.

Having zero width and extending on all sides, a line is a geometry object. An unbent line is, to put it simply, a straight line. A straight line is one that doesn't curve and extends indefinitely on both sides.

We have ordered pair (5,200),

x = 5

so y = 200

so y = 5 x 40

so we have  y = 40x

This is a straight line passing through the origin on the point  (5,200), through any point.

An ordered pair consists of two items. Because the ordered pair differs from the ordered pair unless a = b, the order of the objects in the pair is important. Other names for ordered pairs include 2-tuples and 2-length sequences.

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Complete question:

What does the ordered pair (5, 200) represent in this situation?

So, the basketball player needs to shoot the ball with a velocity of u so that the maximum height attained by the ball is 10.0625 feet.

Given, A basketball player shoots a foul shot, releasing the ball at a 45-degree angle from a position 6 feet above the floor, then the path of the ball can be modeled by the quadratic function,

h(x) = -0.005x² + 0.45x + 6

Here, the ball has released at an angle of 45 degrees, then the vertical velocity (v) and horizontal velocity (u) can be given as:

v = usinθ = ucosθ = gt...

As the projectile motion is a 2-D motion]where t is the time, g is the acceleration due to gravity.

As the maximum height is attained at the mid of the total time taken, thus the time taken to attain the maximum height (H) can be given as:

H = u sin(θ)/g

So, H = u/g [Here, sin(θ) = 1/root2]

Also, The total time (T) of flight can be given as:

T = 2u sinθ/g

We can calculate the value of T using the formula above.

T = 2u sinθ/g

= 2u(1/root2)/g

= u/g√2

Now, Let's put the value of T in the quadratic equation of the path of the ball,h(x)

= -0.005x² + 0.45x + 6h(x)

= -0.005(x² - 90x) + 6h(x)

= -0.005(x²- 90x + 2025 - 2025) + 6h(x)

= -0.005((x - 45)²- 1012.5) + 6h(x)

= -0.005(x - 45)² + 10.0625

As the vertex of the parabola represents the maximum height, thus the maximum height (H) can be given as, H

= 10.0625 feet

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After applying the substitution u = 4x + π to the integral ∫π0 sin(4x + π)dx,  the new limits of integration are from u = π to u = 5π. To determine this, we need to use the original limits.

To find the new limits of integration, we need to substitute the original limits into the equation u = 4x + π and solve for the corresponding values of u.

For the lower limit of integration, x = 0, we substitute into the equation:

u = 4(0) + π

u = π

For the upper limit of integration, x = π, we substitute into the equation:

u = 4(π) + π

u = 5π

Therefore, after applying the substitution, the new limits of integration for the integral ∫π0 sin(4x + π)dx are from u = π to u = 5π.

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To find the average velocity during each time period, we need to calculate the displacement over that time period and divide it by the duration of the time period.

(a) (1) [1, 2]:

To find the average velocity over the interval [1, 2], we need to calculate the displacement at t = 2 and t = 1, and then divide it by the duration of 2 - 1 = 1 second.

s(2) = 4sin(2n) + 5cos(2n)

s(1) = 4sin(n) + 5cos(n)

Average velocity = (s(2) - s(1)) / (2 - 1) = (4sin(2n) + 5cos(2n)) - (4sin(n) + 5cos(n)) = 4sin(2n) - 4sin(n) + 5cos(2n) - 5cos(n)

(2) [1, 1.1]:

Similarly, for the interval [1, 1.1], we calculate the displacement at t = 1.1 and t = 1, and then divide it by the duration of 1.1 - 1 = 0.1 seconds.

s(1.1) = 4sin(1.1n) + 5cos(1.1n)

Average velocity = (s(1.1) - s(1)) / (1.1 - 1) = (4sin(1.1n) + 5cos(1.1n)) - (4sin(n) + 5cos(n))

(3) [1, 1.01]:

For the interval [1, 1.01], we calculate the displacement at t = 1.01 and t = 1, and then divide it by the duration of 1.01 - 1 = 0.01 seconds.

s(1.01) = 4sin(1.01n) + 5cos(1.01n)

Average velocity = (s(1.01) - s(1)) / (1.01 - 1) = (4sin(1.01n) + 5cos(1.01n)) - (4sin(n) + 5cos(n))

(4) [1, 1.001]:

For the interval [1, 1.001], we calculate the displacement at t = 1.001 and t = 1, and then divide it by the duration of 1.001 - 1 = 0.001 seconds.

s(1.001) = 4sin(1.001n) + 5cos(1.001n)

Average velocity = (s(1.001) - s(1)) / (1.001 - 1) = (4sin(1.001n) + 5cos(1.001n)) - (4sin(n) + 5cos(n))

(b) To estimate the instantaneous velocity of the particle when t = 1, we can find the derivative of the equation of motion with respect to t and evaluate it at t = 1.

s(t) = 4sin(nt) + 5cos(nt)

Velocity v(t) = ds/dt = 4ncos(nt) - 5nsin(nt)

v(1) = 4ncos(n) - 5nsin(n)

To obtain a numerical estimate, we need to know the value of n or assume a value for it. Without knowing the specific value of n, we cannot provide an exact numerical result for the instantaneous velocity at t = 1.

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The number line which represents the solution set for the inequality is

x ≤ -5.

What is number line?

In elementary mathematics, a number line may be a image of a graduated line that is visual illustration of the important numbers. each purpose of variety|variety} line is assumed to correspond to a true number, and each real to a degree.

Main body:

[Given]=

-4(x + 3) ≤ -2 - 2x

Using the distributive property of multiplication on LHS

-4x-12 ≤ -2 - 2x

By transposing the terms with variables on one side and the constant on the other side

- 4x + 2x ≤ –2 + 12

By further calculation

- 2x ≤ 10

Divide both sides by -2

x ≤ -5

Therefore, x ≤ -5 represents the solution set.

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The probability is that the married couple watches the show is 0.35.

According to the statement

We have to find the probability is that the probability that married couple watches the show is 0.35.

For this purpose, we know that the

Probability is the ratio of the number of outcomes to the total number of possible outcomes.

With the given information

a married man watches a certain television show is 0.4

the probability that a married woman watches the show is 0.5.

the probability that a man watches the show, given that his wife does, is 0.7

Then

Let M be the event that a married man watches a certain T.V.

And N be the event that a married woman watches the show.

The probability become

\(P(M)=0.4\)   \(P(F)=0.5\)

and the

\(P(\frac{M}{F} )=0.7\)

Then

The probability become is the

P(M∩F)=0.7*0.5

And

\(P=0.7*0.5\)

\(P=3.5\)

So, The probability is that the married couple watches the show is 0.35.

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This question was incomplete. Please find the full content below.

Question:

The probability that a married man watches a certain TV show is 0.4 and the probability that a married woman watches the show is 0.5. The probability that a man watches the show, given that his wife does, is 0.7. Then

the probability that married couple watches the show.

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Using a normal distribution table or calculator, we can find that approximately 88.8% of the observations will fall within this range. This means that if a variable follows a normal distribution, approximately 88.8% of the observations will fall within 1.75 standard deviations of the mean.

When a variable follows a normal distribution, it is often assumed that the distribution is symmetrical around the mean, with 50% of the observations falling above the mean and 50% falling below. However, we can use standard deviations to better understand the distribution of the data.
If a variable follows a normal distribution, approximately 68% of the observations will fall within one standard deviation of the mean. This means that if the mean is 100 and the standard deviation is 10, approximately 68% of the observations will fall between 90 and 110.
When we move to 1.75 standard deviations away from the mean, we can use a normal distribution table or calculator to find the percentage of observations falling within that range. Using the same example as before, if the mean is 100 and the standard deviation is 10, we would multiply 1.75 by 10 to get 17.5. Then, we would add and subtract 17.5 from the mean to find the range of values that fall within 1.75 standard deviations away from the mean. This gives us a range of 82.5 to 117.5.
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1.7 inches tall is the scale model.

Now, According to the question:

A rectangular billboard for a local school is 10 ft. high and 20 ft. long.

In a scale model of the school, the billboard is 3. 5 inches long.

To find the how many inches tall is the scale model?

Let board be x inches tall.

Convert ft. into inches.

How do you convert feet to inches formula?

So, to convert a measurement in feet to inches, all you need to do is multiply the number by 12. This is an exact number, so if you're working with significant figures, it won't limit them.

=>20 ft.  Represent  3.5 inches

1 ft. represent = 3.5/20 inches

=> 10 ft. represent = 10 x 3.5/20 = 7/4 = 1.7 inches

Hence, 1.7 inches tall is the scale model.

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Answer:

D) y=-5

Step-by-step explanation:

..............

Answer:

\(y=-5x+39\)

Step-by-step explanation:

Hi there!

Slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Plug in the slope (m)

\(y=mx+b\)

Plug in the slope -5

\(y=-5x+b\)

2) Determine the y-intercept (b)

\(y=-5x+b\)

Plug in the given point (7,4) and solve for b

\(4=-5(7)+b\\4=-35+b\)

Add 35 to both sides to isolate b

\(4+35=-35+b+35\\39=b\)

Therefore, the y-intercept is 39. Plug this back into \(y=-5x+b\):

\(y=-5x+39\)

I hope this helps!

Among the statistics he presented we find: D. All of the above.

In Psychology and Statistics, a case study can be defined as a research methodology that typically involves the use of a descriptive research technique to obtain an in-depth analysis about an individual, group of people, or phenomenon.

Based on the information provided about the social condition of African-Americans by W.E.B. DuBois using descriptive statistics, we can logically deduce the following:

"Numbers of African-Americans in cities versus rural areas."

"Property ownership (including real estate) by African-Americans."

"Changing proportions of the African-American population as compared to the total population of the United States."

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The example of using blocking to emphasize dialogue and emotion is multiple characters grouped into small clumps around the stage. Therefore, the correct option is option 4.

This type of blocking creates a sense of intimacy and intensity as the characters are physically close to each other, emphasizing the emotional content of their dialogue. It also allows for individual characters to have their own space and focus, creating a sense of hierarchy and importance within the scene.

In contrast, the other options do not specifically use blocking to emphasize dialogue and emotion. Finding Nemo swimming closer to the screen during his monologue is simply a camera technique, while Donnie Darko walking during a scene and all of the characters on stage traveling in a clockwise pattern throughout the scene are examples of movement blocking, which may or may not emphasize dialogue and emotion depending on the context.

Therefore, the correct answer is option 4.

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Answer: y = -3/5x - 6

Step-by-step explanation:

There are a few equations that can be used for this, but the simplest one would be y = mx + b

We are given:

y = -3

m = -3/5 (slope)

x = -5

b = ?

Our equation is this, we are solving for b

==> -3 = -3/5 ( -5) + b

==> -3 = -3/5 ( -5) + b ( multiply the brackets)

==> -3 = 3 + b ( subtract 3 to both sides)

==> -6 = b

Now we can make the desired equation in slope intercept form;

y = -3/5x - 6

Hope this helped! Have a great day :D

There is a 0.0001 percent chance that the average amount of cereal in these boxes is less than 9.65 ounces.

Given that,

Mean µ = 9.70

Sample size = n = 5

standard deviation = σ = 0.03

Its distribution is normal, therefore

σx = σ/

σx = 0.03

σx = 0.0134

We must now determine the z value in order to use the table.

z = (x - µ) ÷ σ

z = (9.65 - 9,70) ÷ 0.0134

z = -3.73

Now

From the probability index tables

So P (z ≤ - 3.73) = 0.0001

Hence, the correct option is e) 0.0001

The complete question is:

A company’s cereal boxes advertise that each box contains 9.65 ounces of cereal. In fact, the amount of cereal in a randomly selected box follows a Normal distribution with mean μ = 9.70 ounces and standard deviation σ = 0.03 ounce. Now take an SRS of 5 boxes. What is the probability that the mean amount of cereal in these boxes is less than 9.65 ounces?

a. 0.4525

b. 0.9522

c. 0.9999

d. 0.0478

e. 0.0001

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The sample size needed to detect µ1 - µ2 = 1 with power at least 80% is approximately 323.

The power of a test is the probability of correctly rejecting the null hypothesis when the alternative hypothesis is true. In this case, we wish to find the power of the z-test to detect a difference of δ1 - δ2 = 0.1 when the sample size is 100 and the significance level is 0.05.

a) First, we need to find the critical value for the z-test at a significance level of 0.05. This can be found using a z-table or a calculator. The critical value is 1.645.

Next, we need to find the standardized difference between the two means, which is (δ1 - δ2)/√(2δ^2/n) = (0.1)/√(2(1)^2/100) = 0.1/√(0.02) = 0.7071.

Finally, we can find the power of the test by subtracting the standardized difference from the critical value and finding the corresponding probability from a z-table or calculator. The power is 1 - P(Z < 1.645 - 0.7071) = 1 - P(Z < 0.9379) = 1 - 0.8264 = 0.1736.

Therefore, the power of the z-test to detect a difference of δ1 - δ2 = 0.1 with a sample size of 100 and a significance level of 0.05 is 0.1736.

b) To find the sample size needed to detect µ1 - µ2 = 1 with power at least 80%, we can use the formula for power:

Power = 1 - P(Z < (critical value - standardized difference))

We can rearrange this formula to solve for the sample size:

Standardized difference = (critical value - Z value corresponding to power)/√(2δ^2/n)

n = (2δ^2(critical value - Z value corresponding to power)^2)/(standardized difference)^2

Plugging in the values for critical value (1.645), Z value corresponding to power (0.8416), and standardized difference (1), we get:

n = (2(1)^2(1.645 - 0.8416)^2)/(1)^2 = 322.69

Therefore, the sample size needed to detect µ1 - µ2 = 1 with power at least 80% is approximately 323.

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To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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Answer:

8962

Step-by-step explanation:

8×1+9...etc..etc

= 8962

Answer:

8.962

Step-by-step explanation:

Answer:

:)

Step-by-step explanation:

I have no idea in the slightest

Answer:

1. > 2. = 3.<

Step-by-step explanation:

1. Well first I had to reduce 8/10. I found out that it is, when reduced, is 4/5. 4/5 is bigger than 3/8.

2. 10/10 and 8/8 are both equal to 1. So they are both equal.

3. none of those fractions had to reduced. Now 5/8 is bigger than 3/16.

The measure of each interior angle of the polygon is 156°.

In a regular polygon, all interior angles are equal. The interior angle of a polygon = sum of interior angles and the number of sides is the formula for determining the size of an interior angle. A polygon's exterior angles add up to 360°.

Given that the number of sides of the polygon is 15. The sum of the interior angles of the polygon is calculated by the formula:-

Sum = ( n - 2 ) x 180

Sum = ( 15 - 2 ) x 180

Sum = 2340

The measure of each angle is calculated as:-

Angle = 2340 / 15

Angle = 156°

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A function that gives the total cost, C in dollars, to be a member of the gym given the number of months, m is C = 7.99m + 30

The table that shows the total cost to be a member of the gym for different numbers of months is:

Number of Months     Total Cost

           3                        $53. 97

          6                         $77. 94

          12                        $125. 88

The rate of change of total cost per month would be,

m = \(\frac{77. 94-53. 97}{6-3}\\\\\)

m = 7.99

so, the function for the total cost would be,

C = 7.99m + d          .......(1)

where d is the fixed cost of the gym

For m = 3, C = 53.97

53. 97 = 7.99m + d

53. 97 = 7.99(3) + d

d = 30

So, function (1) would be,

C = 7.99m + 30

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Answer:

She had 8 appointments

Step-by-step explanation:

Let x = the number of appointments

65x + 100 - 12.5x = 520  Combine like terms

52.5x + 100 = 520  Subtract 100 from both sides

52.5x + 100 - 100 = 520 - 100

52.5x = 420  Divide both sides by 52.5

\(\frac{52.5x}{52.5}\) = \(\frac{420}{52.5}\)

x = 8

Helping in the name of Jesus.

The following is true about the study: e. It has one factor (medication) blocked by age.

In statistics, when a factor (independent variable) is blocked by another factor, it means that the effect of the first factor is controlled or eliminated by the second factor.

In this case, the factor that is blocked is the medication, which means that the effect of medication on the outcome variable is controlled by age.

Blocking a factor is often done in experimental design to remove the effects of extraneous variables or to control the influence of certain factors on the outcome variable.

In this case, age is considered a blocking variable because it is not of interest in the study, but it may have an effect on the outcome variable. By blocking the effect of medication by age, the study can better isolate the effect of medication on the outcome variable.

In summary, the statement e. "It has one factor (medication) blocked by age" is correct which means that the study controlled for the effect of age on the outcome variable by blocking the effect of medication by age.

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