pls show work and use calc 2 techniques only thank
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Find the centroid of the region bounded by y=sin (5x), y=0, x=0, and x = . 10 0 (0, 1) (1) 0 ( - 11/10, π) 0 (²/3/1/) O 0 (0)

Answer:

g = 115

h = 65

k = 131

m = 49 ............

Answer:

y = 3/5x + 5

Step-by-step explanation:

Slope-intercept form is y = mx + b where m is the slope (rise / run of the line) and b is y-intercept (y value of where the line intersects with the y-axis.

The line is rising up 3 and run to the right 5 and so it's slope is 3/5. The line intersects with the y-axis at a y value of 5 and so it's y-intercept is 5.

Therefore, your answer in slope-intercept form is y = 3/5x + 5.

Answer:

8 plates

Step-by-step explanation:

The reason for this is because 15 and 9 are both divisible by 3. 15 divided by 3 is 5 and 9 divided by 3 is 3. 5+3= 8. Therefore, you will need 8 plates.

The total area of the regions between the curves is 0.17 square units

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

x = y² - 2 and x = y - 2

For the intervals, we have

x = -2 and x = -1

Make y the subjects

So, we have

y = √(x + 2) and y = x + 2

So, the area of the regions between the curves is

Area = ∫x + 2 - √(x + 2)

This gives

Area = ∫x + 2 - √(x + 2)

Integrate

Area =  -[4(x + 2)^3/2 - 3x(x + 4)]/6

Recall that x = -2 and x = -1

So, we have

Area = [4(-1 + 2)^3/2 - 3(-1)(-1 + 4)]/6 + [4(-2 + 2)^3/2 - 3(-2)(-2 + 4)]/6

Evaluate

Area =  0.17

Hence, the total area of the regions between the curves is 0.17 square units

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To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.

Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.

Let's assume the square footage of office 143 is 800 square feet.

Number of gallons needed = Square footage / Coverage rate per gallon

Number of gallons needed = 800 square feet / 50 square feet per gallon

Number of gallons needed = 16 gallons

Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.

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Carson City cinemas charge $15 per adult, $12 per child, and $10 for senior citizens to purchase movie tickets. The equation relating a, c, and s for Carson City Cinemas' ticket sales is 15a + 12c + 10s = 1515.

To write an equation relating to a, c, and s, we can use the information given in the question. Let a be the number of adult tickets sold, c be the number of child tickets sold, and s be the number of senior citizen tickets sold.
The price for an adult ticket is $15, so the total amount collected from adult tickets is 15a. Similarly, the total amount collected from child tickets is 12c, and the total amount collected from senior citizen tickets is 10s.
Since the theatre collected a total of $1515 in ticket sales, we can set up the equation:
15a + 12c + 10s = 1515
This equation relates the number of adults, children, and senior citizen tickets sold to the total amount collected in ticket sales.
To solve for a, c, and s, we would need more information. However, we can use this equation to analyze different scenarios. For example, we could plug in different values for a, c, and s to see how it affects the total amount collected.
In summary, the equation relating a, c, and s for Carson City Cinemas' ticket sales is 15a + 12c + 10s = 1515.

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Answer:

\(27\pi\)

Step-by-step explanation:

The area of a circle is given by the formula \(A = \pi r^2\).

We are given the radius of this circle, so we can plug in.

\(A = \pi r^2\\A=6^2\pi \\A=36\pi\)

Seeing that there is \(\frac{3}{4}\) of the circle left, multiply \(36\pi\) by \(\frac{3}{4}\).

\(36\pi(\frac{3}{4})\\ 9\pi (3)\\27\pi\)

Answer:

The answer is (1,-1)

The indefinite integral of √(√(2 - 3x²)) * 3x²(-6x) dx is:

-4/30 * (2 - 3x²)^(5/4) + C. To find the indefinite integral of √(√(2 - 3x²)) * 3x²(-6x) dx, we can simplify the expression inside the square root first.

Let's denote u = 2 - 3x². Taking the derivative with respect to x:

du/dx = -6x.

Rearranging, we have dx = du / (-6x).

Substituting these values into the integral:

∫ √(√(2 - 3x²)) * 3x²(-6x) dx

= ∫ √√u * 3x²(-6x) (du / (-6x))

= ∫ -√√u * 3x * x (du / (-6x))

= -∫ √√u * x du

= -∫ x * √√(2 - 3x²) du.

Now, let's integrate with respect to u:

= -∫ x * √√(2 - 3x²) du

= -∫ x * u^(1/4) du

= -∫ x * u^(1/4) du

= -∫ x * (2 - 3x²)^(1/4) du.

To integrate this expression, we can use the substitution v = 2 - 3x². Taking the derivative:

dv/dx = -6x.

Rearranging, we have dx = dv / (-6x).

Substituting these values into the integral:

-∫ x * (2 - 3x²)^(1/4) du

= -∫ x * v^(1/4) (dv / (-6x))

= (-1/6) ∫ v^(1/4) dv.

Now we can integrate with respect to v:

(-1/6) ∫ v^(1/4) dv

= (-1/6) * (v^(5/4) / (5/4)) + C

= -4/30 * v^(5/4) + C.

Substituting back v = 2 - 3x²:

= -4/30 * (2 - 3x²)^(5/4) + C.

Therefore, the indefinite integral of √(√(2 - 3x²)) * 3x²(-6x) dx is:

-4/30 * (2 - 3x²)^(5/4) + C.

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Answer:

3/4 divided by 9 (break it down) = 1/12

Answer:

If a line has an undefined slope, it means it is a vertical line. A vertical line passing through the point (12, -20) would have all points on the line with an x-coordinate of 12. Therefore, the equation of the line would be:

x = 12

So, any point of the form (12, y) would be on this line, where y can be any real number.

Answer:

x=12

Step-by-step explanation:

since 12 is the x coordinate, and an undefined slope is vertical that means x has to equal to 12

Answer:936 (not sure)

Step-by-step explanation:78 x 12=936

1 dozen=12

each= multiplication

A collegiate basketball player hits 80% of his free throw attempts. Assuming free throw attempts are independent, he will try 100 free throws this season the answers are as follows:

a) The mean of X is 80.

b) The standard deviation of X is 4.

c) The probability that the basketball player makes at least 90 of these attempts is approximately is 0.0062.

d) If the basketball player instead attempts only 10 free throws, the probability that he makes at most 4 of these is 0.0064.

As per the question given,  

a) The mean of X is given by the formula: mean = n * p, where n is the number of trials and p is the probability of success on each trial. In this case, the player attempts 100 free throws with a probability of success of 0.8, so the mean is:

mean = 100 * 0.8 = 80

Therefore, the correct answer is 80.

b) The standard deviation of X is given by the formula: standard deviation = sqrt(n * p * (1 - p)). Substituting the values, we get:

standard deviation = sqrt(100 * 0.8 * 0.2) = 4

Therefore, the correct answer is 4.

c) To find the probability that the player makes at least 90 free throws, we can use the normal approximation to the binomial distribution. The mean is 80 and the standard deviation is 4, so we can standardize the value of X as follows:

z = (90 - 80) / 4 = 2.5

Using a standard normal distribution table, we can find the probability that Z is greater than 2.5, which is approximately 0.0062.

Therefore, the correct answer is 0.0062.

d) If the player attempts only 10 free throws, the number of successful attempts X follows a binomial distribution with n=10 and p=0.8. The probability that he makes at most 4 of these attempts is:

P(X <= 4) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4)

Using the binomial distribution formula, we can calculate each of these probabilities and sum them up. Alternatively, we can use a binomial probability table or a calculator to find the cumulative probability.

Using a binomial probability calculator, we get:

P(X <= 4) = 0.0064 (rounded to four decimal places)

Therefore, the correct answer is 0.0064.

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Answer:

9th term geometric sequence (a9) = 1 / 256

Step-by-step explanation:

Given:

Geometric sequence 1,1/2,1/2²

First term (a) = 1

Common ratio (r) = A2 / A1 = (1/2) / 1 = 1/2

Number of term (n) = 9

Find:

9th term geometric sequence (a9)

Computation:

\(an = ar^{n-1}\)

a9 = ar⁹⁻¹

a9 = (1)(1/2)⁸

a9 = (1/2)⁸

a9 = 1/256

9th term geometric sequence (a9) = 1 / 256

Answer:

$6,578

Step-by-step explanation:

((5500 * 0.028) * 7) + 5500, where parentheses is the interest rate

(5500 * 0.028) * 7

154 * 7

1078

1078 + 5500

6578

Brainliest? ;)

It helps me a lot!

The perimeter of the rhombus FGHJ is 20 units

The coordinates are given as:

F = (-2, -2)

G = (-2, 3)

H = (2, 6)

From the question, we understand that vertex J is directly below vertex H.

This means that vertices H and J have the same x coordinate.

So, we have

J = (2, y)

The distance between F and G is 5 units,

So, we have

J = (2, y - 5)

Where

y = 6 i.e. the y coordinate of H

This gives

J = (2, 6 - 5)

Evaluate

J = (2, 1)

See attachment for the graph of the rhombus

In (a), we have:

The distance between F and G is 5 units,

This means that

FG = 5

The side lengths of a rhombus are equal.

So, the perimeter is

P = 4 * FG

This gives

P =4 * 5

Evaluate

P = 20

Hence, the perimeter of the rhombus is 20 units

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(a) To find the mean number of customers who pay with a debit card among the next 100 customers, we multiply the total number of customers by the probability of paying with a debit card:

Mean = 100 * P(B) = 100 * 0.052 = 5.2

To find the variance, we use the formula:

Variance = n * p * (1 - p)

where n is the number of trials (100) and p is the probability of success (paying with a debit card).

Variance = 100 * 0.052 * (1 - 0.052) = 4.936

So the mean number of customers who pay with a debit card among the next 100 customers is 5.2, and the variance is 4.936.

(b) To find the mean number of customers who don't pay with cash among the next 100 customers, we first find the probability of not paying with cash:

P(not C) = P(A or B) = P(A) + P(B) = 0.055 + 0.052 = 0.107

Then we multiply by the total number of customers:

Mean = 100 * P(not C) = 100 * 0.107 = 10.7

To find the variance, we again use the formula:

Variance = n * p * (1 - p)

where n is the number of trials (100) and p is the probability of success (not paying with cash).

Variance = 100 * 0.107 * (1 - 0.107) = 9.656

So the mean number of customers who don't pay with cash among the next 100 customers is 10.7, and the variance is 9.656.

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Answer:

98

Step-by-step explanation:

147/3=49x2=98

Answer:

A

Step-by-step explanation:

ddhxhdhdnxkajsbxdjdhcch

Answer:I think it’s answer B

Step-by-step explanation:because if you measure figure 2 it will be about 451 and you need it to hold about 300 so it can’t be a or c and figure 3 holds about 321 while figure 1 holds about something so I think it’s B

Answer:

the answer should be, A. im pretty good at this kind of thing so It should be right but if not, sorry.

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

40/10= 4 every hour

14x4=56

Answer:

x=1

Step-by-step explanation:

3/4x + 1/4 =2x

3/4x=2x-1/4

3/4x-2x= -1/4

3/4x-8/4x= -1/4

-5/4x= -1/4

x= -1/4+ 5/4

x=4/4

x=1

Answer:

x = 1/5

Step-by-step explanation:

Simplfy:

3x/4 + 1/4 = 2x

Join the denominators:

3x + 1/4 = 2x

Multiply both sides by 4:

3x + 1 = 8x

Subtract 3x from both sides:

1 = 8x - 3x

Simplify:

1 = 5x

Divide both sides by 5:

x = 1/5

To find the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x, we need to substitute the given values of the variables into the expression and then simplify.

Here is the step-by-step explanation:

1. Substitute the given values of the variables into the expression:
(2)²(3+4)-(1)²(1/2+2/3)+2(0)

2. Simplify the expression by following the order of operations:
(4)(7)-(1)(7/6)+0

3. Simplify further:
28-7/6

4. Find a common denominator and combine the terms:
168/6-7/6

5. Simplify the expression to get the final numerical value:
161/6

Therefore, the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x is 161/6.

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The numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x is 161/6.

To find the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x, we need to substitute the given values of the variables into the expression and then simplify.

Here are the steps to do this:

1. Substitute the given values of the variables into the expression:
(2)²(3+4)-(1)²(1/2+2/3)+2(0)

2. Simplify the expression inside the parentheses:
(2)²(7)-(1)²(7/6)+0

3. Simplify the exponents:
4(7)-1(7/6)+0

4. Multiply the numbers:
28-7/6+0

5. Simplify the expression by finding a common denominator and combining the terms:
28-7/6 = 168/6-7/6 = 161/6

So the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x is 161/6.

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A person has a weight of 110 lb. Each of their shoe soles has an area of 42 square inches for a total area of 84 square inches. when we compare the pressure to the atmosphere it is lower.

a) To determine the pressure between the shoes and the ground, we need to divide the force (weight) exerted by the person by the area of the shoe soles. The weight is given as 110 lb, and the total area of both shoe soles is 84 square inches.

Pressure = Force / Area

Pressure = 110 lb / 84 square inches

Pressure ≈ 1.31 lb/inch² (rounded to two decimal places)

b) To convert the pressure from pounds per square inch (psi) to pascals (Pa), we can use the conversion factor: 1 psi = 6895 Pa.

Pressure in pascals = Pressure in psi * Conversion factor

Pressure in pascals = 1.31 psi * 6895 Pa/psi

Pressure in pascals ≈ 9029.45 Pa (rounded to two decimal places)

c) To compare this pressure to atmospheric pressure, we need to know the atmospheric pressure in the same unit (pascals). The standard atmospheric pressure at sea level is approximately 101,325 Pa.

Comparing the pressure exerted by the person (9029.45 Pa) to atmospheric pressure (101,325 Pa), we can see that the pressure exerted by the person is significantly lower than atmospheric pressure.

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The bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

What are scientific notations?

Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.

Calculation of the amount by which a bacterial cell is smaller than the amoeba cell

Given the length of amoeba cell in scientific notations is 3.5 × 10^(- 4)

The length of a bacterial cell in scientific notations is 5 × 10^(- 6)

To obtain how small the bacterial cell is from the amoeba cell, we need to divide both the lengths i.e.

= 3.5 × 10^(- 4) / 5 × 10^(- 6)

= 0.7 × 10^(2)

= 7 × 10^(1)

Hence, the bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

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Answer; present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

The present value of $12,200 to be received 4 years from today can be calculated using the formula for present value. The formula is:

Present Value = Future Value / (1 + Discount Rate)^n

Where:
- Future Value is the amount to be received in the future ($12,200 in this case)
- Discount Rate is the interest rate used to discount future cash flows (5 percent in this case)
- n is the number of periods (4 years in this case)

Plugging in the given values into the formula:

Present Value = $12,200 / (1 + 0.05)^4

Calculating the exponent first:

(1 + 0.05)^4 = 1.05^4 = 1.21550625

Dividing the future value by the calculated exponent:

Present Value = $12,200 / 1.21550625

Calculating the present value:

Present Value = $10,027.51

Therefore, the present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

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The probability that exactly two of the three people selected also travel by train is 4/9

The probability of an event occurring is specified by the ratio of the number of  required outcomes to the number of possible outcomes.

The number of people that travelled from London to Manchester for the conference = 30

Number of people that traveled by train = 15

Number of people that travelled by plane = 9

Number of people that did not travel by travel by either train or plane = 12

Number of people chosen from those that traveled by plane = 3

The probability that two of those selected also traveled by train can be found as follows;

The number of people that traveled by either train of plane = 30 - 12 = 18

The number of people that traveled by plane and train = 15 + 9 - 18 = 6

The binomial probability distribution formula that can be used to find the probability of an event, p, occurring exactly r times is as follows;

P(p) = \(_nC_r\cdot p^r\cdot q^{n-r}\)

Where;

n = Number of people chosen = 3

r = Number of people chosen that also traveled by train = 2

p = Probability that a person chosen also traveled by train = 6/9 = 2/3

q = Probability that a person chosen did not travel by train = 3/9 = 1/3

Therefore;

\(P = _3C_2\times \left(\dfrac{2}{3}\right) ^2\times \left(\dfrac{1}{3} \right)^{3-2} = \dfrac{4}{9}\)

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