Find the area of the surface generated by revolving the given curve about the x-axis. y=6x, 0 < x

Answers

Answer 1

The area of the surface generated by revolving the curve y = 6x about the x-axis is 0.

To find the area of the surface generated by revolving the curve y = 6x about the x-axis, we can use the formula for the surface area of revolution:

A = 2π∫[a,b] y√(1 + (dy/dx)²) dx

In this case, the curve y = 6x is a straight line, so the derivative dy/dx is a constant. Let's find the derivative:

dy/dx = d(6x)/dx = 6

Now we can substitute the values into the formula for surface area:

A = 2π∫[a,b] y√(1 + (dy/dx)²) dx

= 2π∫[a,b] 6x√(1 + 6²) dx

= 2π∫[a,b] 6x√(1 + 36) dx

= 2π∫[a,b] 6x√37 dx

The limits of integration [a, b] depend on the range of x values for which the curve y = 6x is defined. Since the given condition is 0 < x, the curve is defined for x > 0. Therefore, the limits of integration will be [0, c] where c is the x-coordinate of the point where the curve intersects the x-axis.

To find the x-coordinate where y = 6x intersects the x-axis, we set y = 0:

0 = 6x

x = 0

So the limits of integration are [0, c]. To find the value of c, we substitute y = 6x into the equation of the x-axis, which is y = 0:

0 = 6x

x = 0

Therefore, the value of c is 0.

Now we can rewrite the integral with the limits of integration:

A = 2π∫[0, 0] 6x√37 dx

Since the limits of integration are the same, the integral evaluates to zero:

A = 2π(0) = 0

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Related Questions

a=h(b+c) solve for c

Answers

Answer:

The expression for c is;

\(c=\frac{a}{h}-b\)

Explanation:

Given the below expression;

\(a=h(b+c)\)

We want to find the expression for c;

Firstly, let's divide both sides by h;

\(\begin{gathered} \frac{a}{h}=\frac{h(b+c)}{h} \\ \frac{a}{h}=b+c \end{gathered}\)

Then, we can now subtract b from both sides;

\(\begin{gathered} \frac{a}{h}-b=b-b+c \\ \frac{a}{h}-b=c \\ c=\frac{a}{h}-b \end{gathered}\)

Therefore, the expression for c is;

\(c=\frac{a}{h}-b\)

Given that y is a function of x, which of the following tables best represents a function?

Answers

When determining if a table represents a function, it is important to ensure that each input (x-value) corresponds to exactly one output (y-value). In other words, for every x, there is only one y.

To identify the correct table, you would examine the x-values in each table to make sure that there are no repeating x-values with different y-values. A table that meets this criterion will represent a function. Unfortunately, you did not provide any tables to analyze. However, using the criterion mentioned in the explanation, you can now evaluate each table yourself to determine which one best represents a function. Remember to look for a table where each x-value corresponds to exactly one y-value.

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Multiplying Polynomials
Find each product.
1) 6v(2v + 3) 2) 7(−5v − 8)
3) 2x(−2x − 3)

Answers

A polynomial is an equation made up of coefficients and in determinates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables.

Multiplying Polynomials Find each product. 1) \(6v(2v + 3) 2) 7(-5v - 8)3) 2x(-2x -3)6v(2v + 3)\)

To distribute the 6v over the binomial 2v + 3, we multiply 6v by each term inside the parenthesis:

\(6v(2v) + 6v(3)\)

\(= 12v^2 + 18v7(-5v - 8)\)

To distribute the 7 over the binomial -5v - 8, we multiply 7 by each term inside the parenthesis:

\(7(-5v) + 7(-8)= -35v - 562x(-2x - 3)\)

To distribute the 2x over the binomial -2x - 3, we multiply 2x by each term inside the parenthesis:

\(2x(-2x) + 2x(-3)= -4x^2 - 6x\)

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which of the following python lines returns subset data for only the variables ""survived"" and ""age"" from a dataframe called ""titanic""?

Answers

The correct Python line to return subset data for the variables "survived" and "age" from a dataframe called "titanic" is subset = titanic[['survived', 'age']].

To extract a subset of data containing only the variables "survived" and "age" from the dataframe "titanic" in Python, you can use double brackets to specify the columns of interest. The line subset = titanic[['survived', 'age']] achieves this.

Here's a breakdown of the line:  

titanic[['survived', 'age']] is used to select the columns 'survived' and 'age' from the dataframe 'titanic'. The double brackets create a new dataframe with only the specified columns.

The resulting subset dataframe is then assigned to the variable 'subset' using the assignment operator '='.

You can use 'subset' to perform further operations or analyze the data containing only the 'survived' and 'age' variables.

By executing this line of code, you will obtain a new dataframe named 'subset' that contains only the columns 'survived' and 'age' from the original 'titanic' dataframe.

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PLSSSSS HELP ME!!!! I WILL MARK!!! U!!!

PLSSSSS HELP ME!!!! I WILL MARK!!! U!!!

Answers

the answer is 29

explanation:
plug in 2 for all x variables in the equation and solve like normal (i attached a pic of the work)

Which graph shows the line y = x + 1?

Answers

I need a picture in order to help

Here is a picture of a bobcat anyway
Which graph shows the line y = x + 1?
where are the graphs???

The ratio of pink rose to yellow roses in a flower arrangement is 5:3. If there are 15 yellow roses, then how many total flowers are in the arrangement?

Answers

Answer:

bat ang pogi ko hahahaha

Write an algebraic expression that models the word phrase.
The product of 8 and the sum of a number x and 14

Answers

Answer:

8(x + 14)

Step-by-step explanation:

The term product signifies multiplication in mathematics. However, in order to find a product, we must have two or more terms to multiply. Because we are finding the product of 8 and the sum of a number x and 14, we will place the sum in parentheses to show they are being added together.

Using this knowledge, we are left with the sum in parentheses (x + 14) and the number 8 to multiply it.

To simplify, this can be written as 8(x + 14).

write an equation:

an addition equation with one variable that has a solution of 3

Answers

Answer:

x + 5 = 8

Step-by-step explanation:

x + 5 = 8

Subtract 5 from both sides.

x + 5 - 5 = 8 - 3

x = 3

Answer: x+5=8

Step-by-step explanation:

Write the equation of the line in point-slope form. (hint the y intercept is (0, -5)

show work

Answers

y + 5 = m( x - 0)
I don’t know the slope, so I just left it as “m”

a chi-square goodness-of-fit test was conducted to determine whether the data provide convincing evidence that the distribution has changed. the test statistic was 10.13 with a p-value of 0.0175. which of the following statements is true?

Answers

To know chi-square goodness-of-fit test conducted to determine whether the data provide convincing evidence that the distribution has changed. The test statistic was 10.13 with a p-value of 0.0175.

To ascertain if the observed data adheres to a predetermined distribution, the chi-square goodness-of-fit test is utilised.

The test statistic is determined using the following formula: 2 = [(O - E)2 / E]where 2 is the test statistic, is the sum of all the categories, and O and E are the observed and predicted frequencies.

If the null hypothesis is true, the p-value is the likelihood that a test statistic will be equally extreme or more extreme than the observed one.

The null hypothesis in this situation is that the distribution has not altered.

If the p-value is less than 0.05, we reject the null hypothesis and come to the conclusion that there is a statistically significant difference between the observed and predicted frequencies, indicating that the distribution has really changed. This is because the generally used significance level is 0.05.

The test statistic in this instance is 10.13, and the p-value is 0.0175.

We reject the null hypothesis since the p-value is less than 0.05 and come to the conclusion that the data is strong evidence that the distribution has altered.

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Which equation is quadratic in form? 3x5 8x3 6 = 0 6x4 7x2 – 3 = 0 5x6 x4 12 = 0 x9 x3 – 10 = 0.

Answers

The equation that is quadratic form is 6(x + 2)²+ 8x + 2 + 1 = 0

What is a quadratic equation?

A quadratic equation is an algebraic expression whose polynomial is in the order of two. The general formula for representing a quadratic equation takes the order of:

ax² + bx + c = 0

From the given options, the equation that takes a quadratic form is:

6(x + 2)²+ 8x + 2 + 1 = 0

solve the brackets

6(x² + 4x + 4) + 8x + 3 = 0

6x² + 24x + 24 + 8x + 3 = 0

6x² + 32x + 27 = 0

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Answer:

a

Step-by-step explanation:

2. Use the total time traveled column to write an equation.
3. Solve the equation for x. Show work, please.
4. What was the speed of the wind

2. Use the total time traveled column to write an equation. 3. Solve the equation for x. Show work, please.4.

Answers

Answer:

6 mph

Step-by-step explanation:

Refer to attached table for inputs

Below equation is for total time traveled (middle column of table). Solving for x:

20/(14 + x) + 20/(14 - x) = 3.520(14 - x) + 20(14 + x) = 3.5(14 + x)(14 - x)20*2*14 = 3.5(14² - x²)160 = 196 - x²x² = 36x = √36x = 6

Speed of wind is 6 miles per hour

2. Use the total time traveled column to write an equation. 3. Solve the equation for x. Show work, please.4.

what is the factored form of x2+22x+121.

Answers

Answer:

(x + 11)²

Step-by-step explanation:

x² + 22x + 121

consider the factors of the constant term (+ 121) which sum to give the coefficient of the x- term (+ 22)

the factors a + 11 and + 11 , since

11 × 11 = 121 and 11 + 11 = 22 , then

x² + 22x + 121 = (x + 11)(x + 11) = (x + 11)² ← in factored form

The ratio of the length to the width of a picture is 5:2. The picture is enlarged so that its length is 15 inches now. What is the width of the enlarged picture?



A. 5 in.
B. 6 in.
C. 7 in.
D. 8 in.

Answers

The answer is B.
The ratio is multiplied by three so 5 times 3 is 15 and 2 times 3 is 6.

Answer:

b

Step-by-step explanation:

can somebody help w this, please?

can somebody help w this, please?

Answers

Answer:

all you have to do is just re- arrange the angles and then add them up:0

Step-by-step explanation:

lol

Answer:

x = 2

Step-by-step explanation:

We'll start with this useful fact about triangles: equal angles in a triangle sweep out equal sides. If a 45 degree angle here sweeps out a length of x, the other one must do the same, so the legs of this right triangle must both be x.

Next, we can use the Pythagorean Theorem to tie all of the triangle's lenghts together:

x² + x² = (√8)²

Finally, we can solve for x:

2x² = 8

x² = 4

x = 2.

Find the area of the smaller sector.
Round to the nearest tenth.
50°
7.13 ft
Area = [?]ft²

Find the area of the smaller sector.Round to the nearest tenth.507.13 ftArea = [?]ft

Answers

Answer:

A ≈ 22.2 ft²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × \(\frac{50}{360}\)

   = π × 7.13² × \(\frac{5}{36}\)

    = 50.8369π × \(\frac{5}{36}\)

    ≈ 22.2 ft² ( to the nearest tenth )

Answer: 22.2 ft^2

Step-by-Step Solution:

Radius (r) = 7.13 ft
Angle (θ) = 50°

Area of a Sector = θ/360 * πr^2

Therefore,
= θ/360 * πr^2
= θ/360 * π * r * r
= 50/360 * 3.14 * 7.13 * 7.13
= 50/360 * 3.14 * 50.8369
= 5/36 * 159.63
= 798.15/36
= 22.17
=> 22.2

Area of the Sector = 22.2 ft^2

the average 1 bedroom apartment in freeburg is $295 a month with a standard deviation of $25 60% or more of all 1 bedroom apartments would tent for what amount

Answers

To determine the amount that 60% or more of all 1 bedroom apartments in Freeburg would rent for, we can use the concept of standard deviations.

Given that the average rent for a 1 bedroom apartment in Freeburg is $295 and the standard deviation is $25, we can determine the rent threshold for 60% or more of all apartments.

To find the threshold, we need to calculate the Z-score corresponding to the desired percentile. The Z-score measures how many standard deviations a data point is from the mean. The Z-score formula is given by (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.

To find the Z-score for the 60th percentile, we look up the corresponding value in the Z-table. The Z-table provides the area under the normal distribution curve up to a certain Z-score. In this case, we want to find the Z-score that corresponds to an area of 0.60.

Assuming a normal distribution, a Z-score of approximately 0.253 corresponds to the 60th percentile.

Using the formula (Z-score * standard deviation) + mean, we can calculate the rent threshold: (0.253 * $25) + $295 = $301.325.

Therefore, 60% or more of all 1 bedroom apartments in Freeburg would rent for approximately $301.325 or higher.

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Suppose a drive-through restaurant has only four total spaces for customers to wait in line to be served. If a customer arrives by car when all four spots are filled, they can not enter the line to wait and order, and hence they must leave the restaurant. Suppose that customers arrive at the restaurant at a rate 5 customers per hour. Suppose customers are served at a rate of 8 customers per hour by the single drive- though line. Assume that both interarrival times and service times are exponentially distributed Which of the following are true assuming the restaurant is operating at steady-state? The line will be empty 41.5% of the time. The average length of the line will be 0.55 customers. The average time spent waiting in line will be 7.005 minutes. 5.7% of the time customers will be blocked from entering the line. Exactly two of the answers are correct. All answers are correct.

Answers

Based on the analysis, only statement 2 (The average length of the line will be 0.55 customers) is true.

Which of the following statements are true assuming a steady-state operation at a drive-through restaurant with limited customer waiting spaces and exponential distribution for arrival and service times?

In this scenario, we can analyze the system using queuing theory. The system follows an M/M/1 queue, where arrivals and service times are exponentially distributed.

To determine the correctness of the given statements, we can calculate the steady-state performance measures of the system.

The line will be empty 41.5% of the time:

To calculate the probability of an empty system, we use the formula: P(0) = 1 - ρ, where ρ is the traffic intensity.

The traffic intensity ρ is given by λ/μ, where λ is the arrival rate and μ is the service rate. In this case, ρ = (5/8) = 0.625. Therefore, the probability of an empty system is P(0) = 1 - 0.625 = 0.375 or 37.5%, which contradicts the given statement. So, this statement is false.

The average length of the line will be 0.55 customers:

The average number of customers in the system can be calculated using Little's Law: L = λW, where L is the average number of customers, λ is the arrival rate, and W is the average time spent in the system. The arrival rate λ = 5 customers per hour. To calculate W, we use the formula: W = 1/(μ - λ), where μ is the service rate. In this case, μ = 8 customers per hour. Plugging in the values, W = 1/(8 - 5) = 1/3 hours. Therefore, L = (5/3) * (1/3) = 5/9 ≈ 0.556 customers. This value is close to 0.55, so this statement is true.

The average time spent waiting in line will be 7.005 minutes:

The average time spent waiting in line can be calculated using the formula: Wq = Lq/λ, where Wq is the average time spent waiting in the queue and Lq is the average number of customers in the queue.

We already calculated Lq as 5/9 customers. Plugging in the values, Wq = (5/9) / 5 = 1/9 hours. Converting to minutes, Wq = (1/9) * 60 = 6.67 minutes. This value is different from 7.005 minutes, so this statement is false.

4. 5.7% of the time customers will be blocked from entering the line:

To calculate the probability of blocking, we need to find the probability that all four spaces are occupied. The probability of all spaces being occupied is given by P(block) = ρ^4, where ρ is the traffic intensity (0.625). Plugging in the values, P(block) = 0.625^4 ≈ 0.0977 or 9.77%. This value is different from 5.7%, so this statement is false.

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Which of the following best describes the pattern in the diagram shown below? 2 3 O A. As you move from left to right, the number of points in the star decreases by 1. OB. As you move from left to right, the number of points in the star increases by 1. O C. As you move from right to left, the number of points in the star increases by 1. O D. As you move from left to right, the number of points in the star remains the same.​

Which of the following best describes the pattern in the diagram shown below? 2 3 O A. As you move from

Answers

It’s 2 because it’s the same as I can get in the car with no gas owowiw

Can someone explain probability with permutations and combinations and explain where they are applied?

Answers

Answer:

If the order doesn't matter then we have a combination, if the order do matter then we have a permutation. One could say that a permutation is an ordered combination. The number of permutations of n objects taken r at a time is determined by the following formula: P(n,r)=n!

Step-by-step explanation:

To calculate the probability of a combination, you will need to consider the number of favorable outcomes over the number of total outcomes. Combinations are used to calculate events where order does not matter. In this lesson, we will explore the connection between these two essential topics.

Answer:

combination : If the order of numbers  or  operations does not matter

Permutation : when the order of numbers matter ( common example most teachers use : a code of 4 numbers has to be in a certain order and the numbers are from 0 to 9 , how many permutation can you make if you use the number one time)

P=n!/(n-r)!

n! ( are number from 0-9 we have 10 numbers)

r is the number of digits in the code = 4

n!=10*9*8*7*6*5*4*2*1

(n-r)!=(10-4)!=6!=6*5*4*3*2*1

P=5040 ways ( if the order matter)

If the order does not matter

Combination C(n,r)=n!/(n-r)!r!

C(10,4)=(10*9*8*7*6*5*4*2*1)/[(6*5*4*3*2*1)(4*3*2*1)]

A family of 6 is going to the fair. They have a coupon for $1.50 off each ticket. After the discount on each ticket, they pay $46.50 for all 6 tickets tickets
If it helps, use the sketch pad to draw a diagram that represents this situation.
Write an algebraic equation to represent this situation where x represents the original price of each ticket before the $1.50 discount was taken.

Answers

Answer:

$9.25

Step-by-step explanation:

Let x be the original price of each ticket before the discount was taken. The discount is $1.50 off each ticket, so the price they actually paid for each ticket is x - 1.50. Since there are 6 tickets, the total price they paid for all 6 tickets is:

6(x - 1.50)

We know from the problem that the total price they paid for all 6 tickets was $46.50, so we can set up the following equation:

6(x - 1.50) = 46.50

Simplifying this equation, we get:

6x - 9 = 46.50

Adding 9 to both sides, we get:

6x = 55.50

Dividing both sides by 6, we get:

x = 9.25

Therefore, the original price of each ticket was $9.25.

Answer:

9.25$

Step-by-step explanation:

Let x be the original price of each ticket before the discount was taken. The discount is $1.50 off each ticket, so the price they actually paid for each ticket is x - 1.50. Since there are 6 tickets, the total price they paid for all 6 tickets is:

6(x - 1.50)

We know from the problem that the total price they paid for all 6 tickets was $46.50, so we can set up the following equation:

6(x - 1.50) = 46.50

Simplifying this equation, we get:

6x - 9 = 46.50

Adding 9 to both sides, we get:

6x = 55.50

Dividing both sides by 6, we get:

x = 9.25

Therefore, the original price of each ticket was $9.25.

Please Brainliest

Help me this hard it is due to day plzzzz

Help me this hard it is due to day plzzzz

Answers

Answer:

line a

Step-by-step explanation:

because its going higher than line b and when it reaches 10 hours it he wil be way beyond his daugter

Answer: line a

Step-by-step explanation:

line a becuse the walking is going strigt ahead and it quicker too

Brady noticed that there were 38 cars in the parking lot. 7 of the cars were blue.

What decimal represents the percent of the cars that were blue? Round your answer to the nearest hundredth.??????!!!! Help! :)

Answers

Answer:

Step-by-step explanation:

7 blue cars out of 38 cars.

To find the percentage you just divide using your calculator and you should get something like this :

\(\frac{7}{38}\) = 0.1842105263

Then you just round that to the nearest hundredth.

If you round 0.184 to the nearest hundredth, it will be 0.18 (You have to round down since the number 4 in the thousandth place is smaller than 5)

A set of data points has a line of best fit of y= -0.2x + 1.7. What is the residual for the point (5, 1)?

Α. 1.5

Β. Ο.7

C. 0.3

D. -0.3

Answers

The answer is B: 0.7

Substitute x in the equation for the x in the given coordinate, 5

-0.2 times 5 is -1

Then add 1.7 to -1 and you get 0.7

Answer:       0.3

Step-by-step explanation:        I took the test

What is the image of (-6, -2) after a dilation by a scale factor of 4 centered at the origin?​

Answers

The image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin is (-24, -8).

What is a scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

To find the image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin, we can use the following formula:

(x', y') = (kx, ky)

where (x, y) are the coordinates of the original point, (x', y') are the coordinates of the image after dilation, k is the scale factor, and (0, 0) is the center of dilation.

Substituting the values given in the problem, we get:

(x', y') = (4*(-6), 4*(-2))

Simplifying,

(x', y') = (-24, -8)

Therefore,

The image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin is (-24, -8).

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Simplify your answer and write it as a proper fraction,improper fraction,or interger

Simplify your answer and write it as a proper fraction,improper fraction,or interger

Answers

Answer:

2

Step-by-step explanation:

Take any 2 points on the graph,

(80, 90) & (40, 10)

Use the slope formula:

\(\frac{y2-y1}{x2-x1}\)

= (10-90)/(40-80)

= (-80)/(-40)

= 2

Hence, the slope is 2.

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Consider the following function call round(3.14159, 3) what is the return value? a.3.14159 b.3.141 c.3.14 d.3.1

Answers

The return value of the function call round(3.14159, 3) is c. 3.14. The round function rounds the first argument (3.14159) to the number of decimal places specified in the second argument (3). In this case, it rounds to 3.14.


The function call in your question is round(3.14159, 3). The "round" function takes two arguments: the number to be rounded and the number of decimal places to round to. In this case, the number to be rounded is 3.14159 and the desired decimal places are 3.

The return value is the result of the rounding operation. In this case, rounding 3.14159 to 3 decimal places gives us 3.142.

So, the correct answer is:

b. 3.142

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How would I solve this?

How would I solve this?

Answers

a²+b²=c²

the pythagorean theorem

basically you would do 7²+5²=c² then solve for c:3

I hope this helped

PLEASE HELP ASAP!!!!!!

PLEASE HELP ASAP!!!!!!
PLEASE HELP ASAP!!!!!!

Answers

Answer:

the vdfjwhr

Step-by-step explanation:

the answer is

Answer:

Step-by-step explanation:

d

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A convex mirror has a focal length of -13.0 cm. When you place a 6.00 cm tall pencil 60.0 cm in front of that mirror, what is the location of the pencil's image? Verify which of the following are identities. the decision by the u.s. court of appeals ninth circuit in riaa v. diamond multimedia systems inc., which was a case about space shifting in the context of mp3 files, was based on group of answer choices fair use. intellectual property protection for movies. licensing fees for videotapes. space shifting. time shifting. The biological basis of race is questionable because the genetic variation within racial groups can be greater than that between racial groups.True or false Suppose the risk-free rate is 1.26% and an analyst assumes a market risk premium of 7.39%. Firm A just paid a dividend of $1.17 per share. The analyst estimates the of Firm A to be 1.48 and estimates the dividend growth rate to be 4.50% forever. Firm A has 257.00 million shares outstanding. Firm B just paid a dividend of $1.79 per share. The analyst estimates the of Firm B to be 0.84 and believes that dividends will grow at 2.13% forever. Firm B has 195.00 million shares outstanding. What is the value of Firm A? When coin 1 is flipped, it lands heads with probability 0.4;when coin 2 is flipped, it lands heads with probability 0.7. One ofthese coins is randomly chosen and flipped 1o times. (a) What isthe probability that exactly 7 of the 10 flips land on heads? (b)Given that the first of these ten flips lands heads, what is theconditional probability that exactly 7 of the 10 flips land onheads? Mario went on a hike with his friends.They hiked 2.24 miles an hour for8 hours. How many miles did they hikein all? which type of review method compares each employee with a fixed standard rather than comparison with other employees? A decision to carry out one of the activities in the value chain internally rather than to purchase externally from a supplier is a ______ decision. Multiple choice question. make or buy sell or process special order product line Suppose the line on a distance-versus-time graph and the line on a speed-versus-time graph are both slanted straight lines going through the origin. Can the two graphs be displaying the motion of the same object? Explain. the united states and europe have decreased public water use in the past 20 years by __________. Ballistics experts are able to identify the weapon that fired a certain bullet by studying the markings on the bullet. Tests are conducted by firing into a bale of paper. If the distance s, in inches, that the bullet travels into the paper is given by the following equation, for 0 ? t ? 0.3 second, find the velocity of the bullet one-tenth of a second after it hits the paper.s = 27 ? (3 ? 10t)3 ft/sec The area of a triangle is found by multiplying half of the measure of its base by its height. the area of the following right triangle is 18 square centimeters. What are the species and genus of humans? PLEASE HELP QUICK!!!!!! What is: "I miss you all, so much" III. If E={1, 2, 3, 4, 5, 6, 7, 8, 9, 10) A=(2, 3, 5, 7), B=(1, 3, 5, 7, 9) List the following sets: a) (AUB) b) (AnB) c) AnB' d) (AnB)' A patient presents a new prescription order for labetalol. The patient's computer profile shows the following medications: glyburide, albuterol, furosemide, atenolol, and amlodipine. The labetalol prescription order is a therapeutic duplication of: Osborn Manufacturing uses a predetermined overhead rate of $18.40 per direct labor-hour. This predetermined rate was based on a cost formula that estimates $224,480 of total manufacturing overhead for an estimated activity level of 12,200 direct labor-hours.The company actually incurred $219,000 of manufacturing overhead and 11,700 direct labor-hours during the period. Transcribed image text:Signaling at a synapse occurs in presynaptic and postsynaptic cells. Sort each of the following events into the proper location. Items (5 items) (Drag and drop into the appropriate area below) Neurotransmitte ris released into the synaptic cleft. Voltage-gated Ca2+ channels open. Reuptake of the neurotransmitter occurs. Ligand-gated ion channels open in response to neurotransmitter Neurotransmitte r binding begins a new action potential. Categories Presynaptic Cell Postsynaptic Cell What did knights receive in exchange for their pledge of loyalty to a lord? a. a weapon c. an income b. a fief d. a title Please select the best answer from the choices provided