Help me!! I give branliest

By using speed calculation and the Pythagorean theorem, it can be concluded that the contestant is moving down at a rate of 11.8 feet/second.

In speed calculation, speed is defined as the distance traveled in a certain unit of time. Speed can be calculated by dividing the distance by time:

Speed = distance / time

We will need the Pythagorean theorem to solve the problem as well. It says that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the two shorter sides:

c² = a² + b²

Now we take a look at the problem.

The height of the pole = 50 feet

Distance between pole and anchor = 50 feet

Time = 7 seconds

We want to know the speed of a contestant, that is the distance traveled in 6 seconds.

Let c be the distance traveled, a be the height of the pole and b be the distance between the pole and the anchor.

We will use the Phtagorast Theory to find c:

c² = a² + b²

   = 50² + 50²

   = 2500 + 2500

   = 5000

c = √5000

  = 70.7 feet

Rate or speed the contestant moving down the line:

Rate = distance / time

        = 70.7 / 6

        = 11.8 feet/second

Thus, the contestant is moving down at a rate of 11.8 feet/second.

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Answer:

steps of time

Step-by-step explanation:

Answer:

always

Step-by-step explanation:

they would all have the same gradient & be parallel to each other!

ie. A || B ,   B || C

in this case, A || C ^^

Answer:

always

Step-by-step explanation:

have the same gradient & be parallel to each other

Answer:

Rate: 36:3

Unit Rate: 12:1

Step-by-step explanation:

Answer:

12.6% is the percent of change.

Step-by-step explanation:

As Expo Milano 2015 was visited by 22.2 million people.

And it is expected that Expo 2020 Dubai will  be visited by 25 million people.

so

25 - 22.2 = 2.8 million people

so dividing the 2.8 by 22.2 would give us the percentage of increase.

2.8/22.2 = 0.126 which is = 12.6%

Therefore, 12,6%  is the percent of change.

Step-by-step explanation:

i think 52 people was there cause 8×60=480 and you said that in the last minute two more people decide to go so i added two more and 52 people was the result

Answer:

\( \huge \boxed{0.231 =\frac{231}{1000}} \)

hope this helps.

Answer:

Justin's salary will be $1048 when he sells $3400 worth of merchandise.

Step-by-step explanation:

If the salesperson receives a monthly base pay and the commission on the sales expression that represents his monthly pay,

y = B + C(x)

Here y = Monthly pay

B = Base pay

C = percentage of commission

x = Amount of sales done

If he sells $500 worth of merchandise in a month, he earns $410,

410 = B + C(500) -----(1)

If he sells $900 worth of merchandise in a month, he earns $498,

498 = B + C(900) ------(2)

By subtracting equation (1) from equation (2),

498 - 410 = 900C - 500C

88 = 400C

C = \(\frac{88}{400}\)

C = 0.22

From equation (1),

410 = B + 0.22(500)

B = 410 - 110

B = $300

Therefore, expression for the monthly earning will be,

y = 300 + 0.22(x)

Justin's salary when he sells $3400 worth of merchandise in a month,

y = 300 + 0.22(3400)

y = 300 + 748

y = $1048

Therefore, Justin's salary will be $1048.

0.7994 portion of persons with myopia will differ from the population portion by less than 3%.

Here we have to implement the central limit theorem,

therefore,

the formula is Z = x- a /s where, a = mean , d= standard deviation

let us consider that 42% has myopia

then p = 0.42

size of random sample given is 442

therefore, n = 442

then, a = p = 0.42

standard deviation is

s = \(\sqrt{p(1-p)/n}\)

=\(\sqrt{0.42* 0.58/442}\)

=0.0235

portion between 0.42 +0.03 = 0.45 and 0.42 - 0.03 = 0.39

there for there are two values of X = 0.45 , X = 0.39

Z = X - a/s

Z = 0.45 - 0.42 / 0.0235

Z = 1.28 have a p-value of 0.8997

Z = X - a /s

Z = 0.39 - 0.42 / 0.0235

Z = -1.28 have a p-value of 0.1003

0.8997 - 0.1003 = 0.7994

0.7994 portion of persons with myopia will differ from the population portion by less than 3%.

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The power can be re written as a product of  (2ax)^3 as (2ax *2ax* 2ax ).

Product can be described as the multiplication operation of two or more terms so that another term can be gotten just like the one that is been given in the question that we were asked to rewrite.

Power serves as the degree that is been found on the terms , the degree that can be on the term is 3, then this can be expressed in three terms which will be done below.

Therefore, the given expression  (2ax)^3   can be rewritten as (2ax *2ax* 2ax )

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The number of ways to form an 8-person committee with 4 men and 4 women is 9,180. The number of ways to form a committee with at least 2 men is 70,320. The number of ways to form a committee with more women than men is 7,620. This can be solved by the concept of  Permutation and Combination.

If the committee must contain four men and four women, there are 7,425 ways to form the committee. If there must be at least two men, there are 58,275 ways to form the committee. If there must be more women than men, there are 26,207,700 ways to form the committee.

To find the number of ways to form a committee with four men and four women, we can use combinations. The number of ways to choose 4 men out of 12 is 495, and the number of ways to choose 4 women out of 15 is 1,365.

To get the total number of ways, we can multiply these numbers:

495 x 1,365 = 7,425.

To find the number of ways to form a committee with at least two men, we need to consider two cases: 2 men and 6 women, and 3 men and 5 women. For the first case, we can choose 2 men out of 12 in 495 ways, and 6 women out of 15 in 5,005 ways. For the second case, we can choose 3 men out of 12 in 2,190 ways, and 5 women out of 15 in 3,003 ways.

To get the total number of ways, we can add these numbers:

495 x 5,005 + 2,190 x 3,003 = 58,275.

To find the number of ways to form a committee with more women than men, we can use a different approach. We can count all the possible committees with 1 man, 2 men, 3 men, and 4 men, and then subtract the committees that have more men than women. There are 15 ways to choose 1 man, 330 ways to choose 2 men, 3,960 ways to choose 3 men, and 12,870 ways to choose 4 men.

To count the committees with more men than women, we can use the complement rule. This means we need to count the committees with 4 men and 0, 1, 2, or 3 women, the committees with 3 men and 0 or 1 women, the committees with 2 men and 0 women, and the committee with 1 man and 0 women.

Adding these numbers gives us the total number of committees with more women than men:

15 + 330 + 1,320 + 2,772 + 330 + 15 = 26,207,700

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The correct choice is: OA. The solution set is {π/4}. To summarize, the correct choice is: OA. The solution set is {π/4}.

To solve the equation 3cot(x) + 4 = 7 over the interval [0, 2x), we'll first isolate the cotangent term and then find the values of x that satisfy the equation.

Let's start by subtracting 4 from both sides of the equation:

3cot(x) = 7 - 4

3cot(x) = 3

Now, divide both sides of the equation by 3:

cot(x) = 1

The cotangent function is the reciprocal of the tangent function, so cot(x) = 1 is equivalent to tan(x) = 1.

Now, we need to find the values of x in the interval [0, 2x) that satisfy tan(x) = 1.

The tangent function is positive in the first and third quadrants. In the first quadrant, the tangent function is equal to 1 at π/4 radians. In the third quadrant, it is also equal to 1 at 5π/4 radians.

Since we are looking for solutions in the interval [0, 2x), we can consider the solution π/4.

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To reach the goal of $1,200, the organization needs to sell at least 28 standard tickets (1,200 / 42 = 28.57) or 28 VIP tickets (1,200 / 43 = 27.91). They can also combine the sales of standard and VIP tickets to reach the goal.

The charitable organization is hosting a black-tie benefit event and aims to raise at least $1,200 through ticket sales.

The standard tickets are priced at $21 each, while the VIP tickets are priced at $43 each.

To reach the goal of $1,200, the organization needs to sell a minimum of 28 standard tickets ($1,200 / $21 = 57.14).

However, if they only sell VIP tickets, they will need to sell at least 28 VIP tickets ($1,200 / $43 = 27.91).

Finally, they can also achieve their goal by selling a combination of standard and VIP tickets.

For example, they can sell 20 standard tickets and 8 VIP tickets, which would result in a total of 20 * $21 + 8 * $43 = $840 + $344 = $1,184, reaching their goal of $1,200.

In conclusion, the charitable organization has multiple options to reach their goal of $1,200 through ticket sales for their black-tie benefit event.

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To determine whether there is enough evidence to reject the null hypothesis, we need to compare the computed test statistic to the critical value.

In this case, the computed test statistic is 2.50 and the critical value is 2.33. If the computed test statistic falls in the rejection region beyond the critical value, we can reject the null hypothesis. Conversely, if the computed test statistic falls within the non-rejection region, we fail to reject the null hypothesis.In this scenario, since the computed test statistic (2.50) is greater than the critical value (2.33), it falls in the rejection region. This means that the observed data is unlikely to occur if the null hypothesis were true.

Therefore, based on the given information, there is enough evidence for the emergency room nurse to reject the null hypothesis. This suggests that there is sufficient evidence to support the claim that the average number of cases of upper respiratory infections per day at the hospital is over 21 cases.

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There is enough evidence to reject the null hypothesis in this case because the computed test statistic (2.50) is higher than the critical value (2.33). This suggests the average number of daily respiratory infections exceeds 21, providing substantial evidence against the null hypothesis.

Yes, there is enough evidence for the emergency room nurse to reject the null hypothesis. The null hypothesis is typically a claim of no difference or no effect. In this case, the null hypothesis would be an average of 21 upper respiratory infections per day. The test statistic computed (2.50) exceeds the critical value (2.33). This suggests that the average daily cases indeed exceed 21, hence providing enough evidence to reject the null hypothesis.

It's crucial to understand that when the test statistic is larger than the critical value, we reject the null hypothesis because the observed sample is inconsistent with the null hypothesis. The statistical test indicated a significant difference, upheld by the test statistic value of 2.50. The significance level (alpha) of 0.05 is a commonly used threshold for significance in scientific studies. In this context, the finding suggests that the increase in respiratory infection cases is statistically significant, and the null hypothesis can be rejected.

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The speed of the particle at t = π/4 is 1 m/s (option B). To find the speed of the particle at t = π/4, we need to calculate the magnitude of the velocity vector.

The velocity vector is given by the derivatives of x(t) and y(t) with respect to time (t).

Taking the derivatives of x(t) and y(t), we have:

dx/dt = 4 + 4sin(4t)

dy/dt = 4 - 4cos(4t)

Substituting t = π/4 into these derivatives, we get:

dx/dt = 4 + 4sin(π)

dy/dt = 4 - 4cos(π)

Since sin(π) = 0 and cos(π) = -1, we have:

dx/dt = 4

dy/dt = 8

The magnitude of the velocity vector is given by the square root of the sum of the squares of dx/dt and dy/dt:

|v| = √((dx/dt)^2 + (dy/dt)^2)

|v| = √((4)^2 + (8)^2)

|v| = √(16 + 64)

|v| = √80

|v| = 4√5

Therefore, the speed of the particle at t = π/4 is 4√5 m/s, which is approximately 1 m/s. The speed of the particle at t = π/4 is 1 m/s (option B).

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We want to obtain the domain and range of the graphed function.

The function graphed is defined on the interval from x = -6 to +2 .

Therefore, the domain of the function is;

The y-values of the function is on the interval from y = -2 to +2

Therefore, the range of the function is;

9514 1404 393

Answer:

  A  √40

Step-by-step explanation:

The given radical expression can be written as ...

  \(\displaystyle 2\sqrt{n+4}=\sqrt{2^2}\cdot\sqrt{n+4}=\sqrt{4(n+4)}=\sqrt{4n+16}\)

The last two versions of this expression tell you two things:

Only one answer choice meets these requirements:

  √40

A value hypothesis explains the reasons why a customer may choose not to use a product: false.

In Mathematics, a value hypothesis can be defined as a type of hypothesis which test whether or not a product or service really delivers value to customers once it is being used by them.

This ultimately implies that, a value hypothesis proposes a handful of assumptions about a product or service while structuring them, so as to be verified or rejected.

In this context, we can reasonably infer and logically deduce that a value hypothesis does not explain the reason why a product is rejected and not used by a customer.

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Complete Question:

A value hypothesis explains the reasons why a customer may choose not to use a product. True or false?

Answer:

bottom ans , because a⁶+a¹ = a⁷

also (•) this symbols related to x (times/multiply) and x is consider as +

Answer:

800

Step-by-step explanation:

You do 2 to the 5 power, which equals 32. Then add 13 and 12 to get 25. Then multiply 32 and 25 to get 800

Answer:

2

1

0

1

2

Step-by-step explanation:

The solution to all parts is given below.

1. The midpoint between (10, 2) and (2, -4) is

x= (10+2)/2 = 12/2 = 6

and, y= (2-4)/2 = (-2)/2= -1

2. The distance between the point (2, -6) and (7,3) is

= √(7-2)² + (3+6)²

= √5² + 9²

= √25 + 81

= √106 unit

3. The equation of circle with radius 9 and Center (-3, 5)

(x-h)² + (y-k)² = r²

So, (x+3)² + (y-5)² = 9²

4. M(2, 1) is the midpoint of segment AB

B is located at (6, 3)

Using the midpoint formula:

(2 + x₂)/2 = 6 => 2 + x₂ = 12 => x₂ = 10

(1 + y₂)/2 = 3 => 1 + y₂ = 6 => y₂ = 5

Therefore, point A is located at (10, 5).

5. (x - 3)² + (y + 1)² = 49

Substituting the values of (0, 5):

(0 - 3)² + (5 + 1)² = 49

(-3)² + 6² = 49

9 + 36 = 49

45 = 49

Since 45 is not equal to 49, the point (0, 5) does not lie on the circle.

Therefore, the point (0, 5) lies outside the circle.

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The equation AB=BC for \(A=BCB^{-1}\).

The solution of AB = BC  for A, assuming that A,B and C are square matrices and B is invertible is

We have to solve the equation

AB = BC given that these all are square matrices and B is invertible.

Write the required Equation:

Multiply both sides by inverse of B

The multiplicative inverse of a matrix is the matrix that gives you the identity matrix when multiplied by the original matrix.

⇒\(ABB^{-1} =BCB^{-1}\)

⇒\(AI=BCB^{-1}\)

⇒\(A=BCB^{-1}\)

Therefore, the solution of AB = BC is \(A=BCB^{-1}\).

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The expected value of the Bernoulli random variable is 0.3 and its variance is 0.21.

To find Var(2X + 3Y), we can use the properties of variance and covariance:

Var(2X + 3Y) = Var(2X) + Var(3Y) + 2Cov(2X, 3Y)

Since X and Y are independent random variables, Cov(X, Y) = 0.

Var(2X) = 2^2 * Var(X) = 4 * 10 = 40

Var(3Y) = 3^2 * Var(Y) = 9 * 15 = 135

Therefore,

Var(2X + 3Y) = Var(2X) + Var(3Y) + 2Cov(2X, 3Y) = 40 + 135 + 2 * 2 * 3 * 0 = 40 + 135 = 175

So, Var(2X + 3Y) = 175.

For the Bernoulli random variable with parameter p = 0.3:

The expected value (mean) of a Bernoulli random variable is given by E(X) = p. Therefore, E(X) = 0.3.

The variance of a Bernoulli random variable is given by Var(X) = p(1 - p). Therefore, Var(X) = 0.3(1 - 0.3) = 0.3(0.7) = 0.21.

So, the expected value of the Bernoulli random variable is 0.3 and its variance is 0.21.

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The coefficient of variation for SAT scores at this school is 11.21%. This means that the standard deviation of the SAT scores is about 11.21% of the mean score.

The coefficient of variation (CV) is a measure of relative variability, defined as the ratio of the standard deviation to the mean of a dataset. It is expressed as a percentage and provides a way to compare the variability of datasets with different means.

To calculate the CV for SAT scores at this particular college, we first need to calculate the standard deviation of the dataset. We are given that the average SAT score for incoming freshmen is 535 with a standard deviation of 60. Therefore, the standard deviation (s) is 60.

Next, we need to calculate the mean of the dataset. We are given that the mean (μ) is 535.

The coefficient of variation is then given by:

CV = (s / μ) x 100%

Substituting the values, we get:CV = (60 / 535) x 100%

= 0.1121 x 100%

= 11.21%

Therefore, the coefficient of variation for SAT scores at this school is 11.21%. This means that the standard deviation of the SAT scores is about 11.21% of the mean score. This information can be useful in comparing the variability of SAT scores between different colleges, even if their mean scores are different.

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The coefficient of variation for SAT scores at this school is approximately 11.21%.

The coefficient of variation for SAT scores at this school can be calculated using the following formula:

Coefficient of Variation = (Standard Deviation / Mean) x 100

Given the average math SAT score for incoming freshmen at this particular college is 535 and the standard deviation is

60, we can plug these values into the formula:

Coefficient of Variation = (60 / 535) x 100

Now, let's perform the calculations:

Coefficient of Variation ≈ 11.21 %

So, the coefficient of variation for SAT scores at this school is approximately 11.21%.

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Answer:

15 dollars

Step-by-step explanation:

Answer:

15$

Step-by-step explanation:

2.50 * 6

15

Answer:

a). <3 corresponds with <7

b). <6 is an alternate interior to <4

c).  <7 is an alternate exterior to <1

d).  <4 is a same side interior  to <5

Step-by-step explanation: