4. (-/5 points) DETAILS MY NOTES Find the volume of the solid bounded by the xy-plane and the surfaces x2+x2–64 and z=x2+y? Submit Answer

Answer:

Step-by-step explanation:

a = 22 cm

b = 12 cm

h = 8 cm

\(Area=\frac{(a+b)*h}{2}\\\\=\frac{(22+12)*8}{2}\\\\=\frac{34*8}{2}\\\\=34*4\)

= 136 cm²

Answer:

rotation, dilation

Step-by-step explanation:

On the question it shows how it is supposed to be ordered, triangle LMN is similar to triangle PQR which means LM and PQ are similar sides and MN and QR are similar, etc.

it is rotation because the P is facing the left side while L is facing upward.

it is dilation because triangle PQR shrunk into a smaller triangle.

Answer:

You divide the numerator and denominator of the fraction, then you will get a decimal and you have to move the decimal to the right twice to get your answer.

Step-by-step explanation:

EX: 19/50 First divide 19 by 15 and you should get 0.38 then you move the decimal twice to the right and should get 38%.

Answer:

Your answer is the first option, (2,-1).

Step-by-step explanation:

All you have to do is plug the (x,y) values into both equations, then solve and see if they're true.

For the first equation, plug x (aka 2) and y (aka -1) into the places they belong.

2x + y = 3 would become 2(2) + (-1) = 3 after putting the values in the right spots.

Solve.

2(2) = 4.

4 + (-1) = 3

3 = 3.

That means that (2,-1) is the solution for the first equation, however it also needs to be true for the second. Do the same thing and plug the values in their designated spots.

y = x - 3 will become -1 = 2 - 3.

2 - 3 = -1.

So you're left with:

-1 = -1, which means again that (2,-1) is also the solution for that equation.

__________________________________________________________

If you have any questions about any of the process here, ask in the comments of this response and I'll help you out.

Both values have the same exponent ( they are both 10^20) so first subtract the numbers:

8.64 - 7.83 = 0.81

You would now have 0.81 x 10 ^20

But to be in scientific notation you need a number to the left of the decimal.

0.81 would become 8.1 and because you move the decimal 1 place to the left, you would subtract 1 from the original exponent so 10 ^20 would become 10 ^19

The answer is 8.1 x 10 ^ 19

Answer:

B = 0.81 x 10^ 20

Step-by-step explanation:

=(8.64 x 10^ 20)- (7 83x 10^20)

=8.1 x 10^19

which is also written as

= 0.81x 10^20

The inverse function of g(x) is:

f(x) =  (x - 2)^(2/3) + 3

Two functions are inverses if their composition is equal to the identity, then if f(x) is the inverse of our function, we must have that:

g( f(x) ) = x

Here we know that:

g(x) = (x - 3)^(3/2) + 2

Evaluating this in f(x) we should get:

g( f(x) = (f(x) - 3)^(3/2) + 2  = x

Now we can solve that for f(x).

(f(x) - 3)^(3/2) + 2  = x

( (f(x) - 3)^(3/2) =  x - 2

f(x) - 3 = (x - 2)^(2/3)

f(x) =  (x - 2)^(2/3) + 3

That is the inverse function.

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The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.

To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).

Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.

Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

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Answer:

0.52grams of dissolved solids.

Step-by-step explanation:

; a 50-milliliter water sample has just 13 milligrams of dissolved solids. If Ernesto fills a 2-liter bottle from one of the water fountains at his school, how many grams of dissolved solids would his bottle have

50ml = 13mg of dissolved solids

1 litre = 1000 millilitres

2 liter = 2 × 1000 = 2000millilitres

50ml = 13mg

2000ml =

Cross Multiply

2000ml × 13m/50ml

= 520mg of dissolved solids.

We are to convert our final answer to grams

= 1 milligram = 0.001 gram

520 milligram =

520 mg × 0.001g/1 mg

= 0.52 grams of dissolved solids

The component form of the velocity vector becomes ⟨150√2, -150√2⟩. This represents the velocity vector's magnitude and direction in terms of its x and y components.

The component form of the velocity vector of an airplane traveling at 300 mph in the direction of S 45° E can be represented as ⟨300cos(45°), -300sin(45°)⟩. This breaks down the velocity vector into its horizontal (x) and vertical (y) components.

To determine the component form of the velocity vector, we need to consider the given direction and magnitude. The direction S 45° E can be broken down into two components: south (negative y-axis direction) and east (positive x-axis direction).

The magnitude of the velocity is given as 300 mph. The horizontal component of the velocity can be found by multiplying the magnitude by the cosine of the angle (45°) since cosine represents the adjacent side divided by the hypotenuse. Thus, the horizontal component is 300 * cos(45°) = 300 * √2 / 2 = 150√2.

Similarly, the vertical component of the velocity can be found by multiplying the magnitude by the sine of the angle (45°) since sine represents the opposite side divided by the hypotenuse. Therefore, the vertical component is 300 * sin(45°) = 300 * √2 / 2 = 150√2.

Combining these components, the component form of the velocity vector becomes ⟨150√2, -150√2⟩. This represents the velocity vector's magnitude and direction in terms of its x and y components.

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Answer:

pretty usre its -20

Step-by-step explanation:

5 times -6= -30 then -30 plus 10

Omar's time rounded to the nearest hundredth of a second is equal to 9.85 seconds.

In Mathematics, a place value can be defined as a numerical value (number) which denotes a digit based on its position in a given number and it includes the following:

Generally speaking, the place value of the digit "4" is hundredth and as such, we would round it up to 5 because it is followed by the number 6:

Time = 9.846 ≈ 9.85 seconds.

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Answer:

A. 1.4x and C. 1/2x

Step-by-step explanation:

Relationship A is 4/2x which is 2x. So everything lower than y=2x would be the answer.

Answer:

y=1.4x

y=1/2x

Step-by-step explanation:

the correct answer

Answer:

B. Faelyn should realize that her work shows that the polynomial is prime

Step-by-step explanation:

The polynomial 6x⁴ – 8x² + 3x² + 4 needs to be factored and the steps are:

Step 1: (6x⁴ – 8x²) + (3x² + 4)

Step 2: 2x²(3x² – 4) + 1(3x² + 4)

Since they do not have a common factor, Faelyn should realize that her work shows that the polynomial is prime. A prime polynomial cannot be factored further because it is at its lowest common term and cannot be factored into any other polynomial of a lower degree. Prime polynomials have integer coefficients. A prime polynomial is also referred to as an irreducible polynomial.

Answer:

b

Step-by-step explanation:

1. The minimum number of chickens you should purchase to be 95% confident you will have enough food for a night is 44 chickens

2. The probability of running out of food by the end of the night is approximately P(X > 40) ≈ 0.000000000007

To be 95% confident that you will have enough food for a night, you need to calculate the 95% confidence interval for the number of customers that will arrive.

The 95% confidence interval for the number of customers that will arrive is given by

CI = x ± zα/2 * σ/√n

where

x is the sample mean,

zα/2 is the critical value of the standard normal distribution for the desired confidence level (z0.025 = 1.96 for 95% confidence),

σ is the standard deviation of the Poisson distribution (σ = sqrt(λ) = sqrt(40) ≈ 6.325), and

n is the sample size.

Substitute the values

CI = 40 ± 1.96 * 6.325/√40 ≈ 40 ± 3.95

Thus, the minimum number of chickens you should purchase to be 95% confident you will have enough food for a night is 44 chickens.

If you have 10 chickens, the number of customers you can serve is limited to 40 (since each customer requires 4 chickens).

Therefore, the probability of running out of food by the end of the night is given by

P(X > 40) = 1 - P(X ≤ 40)

where X is the number of customers that arrive.

Using the Poisson distribution, we can calculate:

\(P(X \leq 40) = e^-\lambda* \sum(\lambda^k / k!)\)

for k = 0, 1, 2, ..., 40.

P(X ≤ 40) = \(e^-40\) * Σ(\(40^k\) / k!) ≈ 0.999999999993

Therefore, the probability of running out of food by the end of the night is approximately P(X > 40) ≈ 0.000000000007

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Question is incomplete, find the complete question below

Question 2 You are operating a Fried Chicken restaurant named "Chapman's Second Best Chicken and Waffles" In a given night you are open to customers from 5pm to 9pm When you are open, customers arrive at an average rate of 5 people every 30 minutes. Individuals are equally likely to arrive at any point in time, and previous arrivals do not impact the probability of additional arrivals. You can handle a maximum of 100 customers a night. On any given night, the amount that guests on average spend at your restaurant is uniformly distributed between $10 and $30 (to be clear, it is the overall average level of spending per guest which is uniformly distributed, not the spending of each individual guest) The distribution of spending per-person is statistically independent of the number of guests that arrive on a given night. 2.1 For every customer you need to purchase 4 chickens. What is the minimum amount of chickens should you purchase to be 95% confident you will have enough food for a night? (note, you can only purchase a whole number of chickens) 2.2 If you have 10 chickens, what is the probability that you will run out of food by the end of the night?

The circumference of the circle is 26.4 cm and the area of the circle is 55.3896 cm².

The circumference and area of a circle of radius 4.2 cm can be calculated using the following formulas:

Circumference = 2πr, where r is the radius of the circle and π is a constant approximately equal to 3.14.

Area = πr², where r is the radius of the circle and π is a constant approximately equal to 3.14.

Circumference = 2πr = 2 × 3.14 × 4.2 cm = 26.4 cm

Area = πr² = 3.14 × (4.2 cm)² = 55.3896 cm²

Given the radius of the circle as 4.2 cm, the circumference of the circle can be found by using the formula for the circumference of a circle. The circumference of a circle is the distance around the circle and is given by the formula C = 2πr, where r is the radius of the circle and π is a constant approximately equal to 3.14. By substituting the given value of r, the circumference of the circle is calculated as follows:

Circumference = 2πr = 2 × 3.14 × 4.2 cm = 26.4 cm

Similarly, the area of the circle can be found by using the formula for the area of a circle. The area of a circle is given by the formula A = πr², where r is the radius of the circle and π is a constant approximately equal to 3.14. By substituting the given value of r, the area of the circle is calculated as follows:

Area = πr² = 3.14 × (4.2 cm)² = 55.3896 cm²

Therefore, the circumference of the circle is 26.4 cm and the area of the circle is 55.3896 cm².

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Answer:

12 + 40d ≥ 100

Answer:

y\(\geq 2.2\)

Step-by-step explanation:

John wants to complete at least 100 miles. he has completed 12 which means he only has 88 left. If you divide 88(miles left) by 40(time left) you get 2.2 miles. so he would need a minimum of 2.2 miles a day to bike 100 miles.

Answer:

Creative, Motivated, and Passionate.

Step-by-step explanation:

The describe a successful entrepreneur because you have to be creative because being creative helps you become a better problem solver in all areas of your life and work. You have to be motivational because it allows us to change behavior, develop competencies, be creative, set goals, grow interests, make plans, develop talents, and boost engagement. You have to be passionate because being passionate is the energy that keeps us going, that keeps us filled with meaning, and happiness, and excitement, and anticipation.

Answer:

90 degrees

Step-by-step explanation:

random stuff to make my answer long

The annual effective rate of interest is approximately 3.218%.

To find the annual effective rate of interest, we can use the formula for the present value of a perpetuity:

PV = C / i

where PV is the present value, C is the cash flow, and i is the interest rate.

In this case, the present value (PV) is given as 0.5 and the cash flow (C) is 1, as the perpetuity pays 1 at the end of every 6 years. Plugging these values into the formula, we have:

0.5 = 1 / i

Rearranging the equation to solve for i, we get:

i = 1 / 0.5

i = 2

So the annual effective rate of interest (i) is 2.

However, since the interest is paid at the end of every 6 years, we need to convert the rate to an annual rate. We can do this by finding the equivalent annual interest rate, considering that 6 years is the period over which the cash flow is received.

To find the equivalent annual interest rate, we use the formula:

i_annual = \((1 + i)^(^1^ /^ n^)\) - 1

where i is the interest rate and n is the number of periods in one year. In this case, n is 6.

Plugging in the values, we have:

i_annual =\((1 + 2)^(^1 ^/^ 6^) - 1\)

i_annual = \((3)^(^1 ^/^ 6^) - 1\)

i_annual ≈ 0.03218

So the annual effective rate of interest (i_annual) is approximately 3.218%.

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Answer:

2 slices of pizza is sausage

Step-by-step explanation:

1/3 of pizza is 4 slices(pepperoni)

2/4 of pizza is 1/2 which is 6(chicken)

There are 12 slices in all so 12-(6+4) = 2 sausage

Replace each of the values of x from the table into the given equation to find the corresponding values of y.

The rule for y in terms of x is:

For x=-5:

For x=-1:

For x=0:

For x=1:

For x=1/6:

Therefore, the table with the corresponding values of y must be:

x y

-5 -33

-1 -9

0 -3

1 3

1/6 -2

Answer:

5 students

Step-by-step explanation:

.............,

Answer:n= 27

Sorry solved for 48 instead of 8 first time around.

Step-by-step explanation:

Step-by-step explanation:

55-30 = 25

25 out of 55 chose the soup.

Hope that helps

Answer:

30:55

Step-by-step explanation:

30 out of the 55 students that bought lunch, bought sandwiches. So, 30 sandwiches to 55 students. It's a trick question that gives you all the information in the question itself, so it's fairly simple. I hope I'm right tho lol

The following are the answer to each statement;

1. The book is $18

2. Giselle can earn up to $18 pulling weeds for her grandma.

3. Giselle's grandma pays her $1 for every 5 weeds she pulls

4. Giselle does not have to use any of her own money towards the purchase of the book when she pulls 90 weeds.

5. Giselle only needs to pull 18 weeds to not use any of her own money

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5 children can share all parts of the bread if each child takes 0.2 parts.

Fraction are numbers of the form \(\frac{a}{b}\) where a and b are real numbers. It is represented as a portion or part of a whole.

The number on the top is called numerator and the number on the bottom is called denominator.

There are 10 equal parts of bread and each child takes 0.2 part.

Total parts of the bread = 10

Part each child takes = 0.2 = \(\frac{2}{10}\)

2 parts out of 10 are taken by each child.

Remaining are  \(\frac{8}{10}\) parts.

\(\frac{2}{10}\) × 4 =  \(\frac{8}{10}\)

Remaining parts can be shared by 4 children.

Hence number of children who can share the bread if each takes 0.2 parts = 5

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Answer:

PQ:80

QR:160

PR:120

Step-by-step explanation:

\(PQ=2x\)∠\(R\)

\(=2\)×\(40\)

=\(80\)

\(QR=2\)×\(m\)∠\(p\)

\(=20\)×\(80\)

\(=160\)

\(PR=2\)×\(m\)∠\(Q\)

=\(2\)×\(60\\\)

=\(120\)

hope it helps

have a great day!!

To evaluate the given integral, we use the properties of double integrals hence, the solution is cos(x+2) - cos(x-2) + 8.

Double integrals are used to calculate the total area, volume, and other values by integrating over a two-dimensional region. In the case of two-dimensional regions, we use double integrals to find the area by integrating a constant function over the region. Here, we are given the diamond-shaped region with vertices (2,0), (0, 1), (-2,0), and (0,-1).

Now, we have to evaluate the integral Noca ∫∫ D y² sin(x + 2y) + 1) dA. To solve this problem, we use double integral properties as follows:

∫∫ D y² sin(x + 2y) + 1) dA= ∫_{-2}^{0} ∫_{-y/2-1}^{y/2+1} y² sin(x + 2y) + 1 dxdy+ ∫_{0}^{2} ∫_{y/2-1}^{-y/2+1} y² sin(x + 2y) + 1 dxdy

The double integral can be rearranged as follows:

∫∫ D y² sin(x + 2y) + 1) dA= ∫_{-2}^{0} [(y/2 + 1)² sin(x + y + 1) + (y/2 + 1)] - [(y/2 - 1)² sin(x + y - 1) + (y/2 - 1)] dy+ ∫_{0}^{2} [(-y/2 + 1)² sin(x - y + 1) + (-y/2 + 1)] - [(-y/2 - 1)² sin(x - y - 1) + (-y/2 - 1)] dy

By simplifying, we get

∫∫ D y² sin(x + 2y) + 1) dA= ∫_{-2}^{0} y sin(x + 2y) dy + ∫_{0}^{2} (-y sin(x + 2y)) dy+ ∫_{-2}^{0} sin(x + y) dy - ∫_{0}^{2} sin(x - y) dy + 8

Now, we evaluate the integrals as follows:

∫_{-2}^{0} y sin(x + 2y) dy= [-cos(x + 2y)/2]_{-2}^{0}= -cos(x)/2 + cos(2x+4)/2 + 1∫_{0}^{2} (-y sin(x + 2y)) dy= [cos(x + 2y)/2]_{0}^{2}= -cos(2x+4)/2 + cos(x)/2 + 1∫_{-2}^{0} sin(x + y) dy= [-cos(x+y)]_{-2}^{0}= cos(x+2) - cos(x)∫_{0}^{2} sin(x - y) dy= [cos(x-y)]_{0}^{2}= cos(x) - cos(x-2)

Putting the values in the equation

∫∫ D y² sin(x + 2y) + 1) dA= -cos(x)/2 + cos(2x+4)/2 + 1 + cos(x)/2 - cos(2x+4)/2 - 1 + cos(x+2) - cos(x) + cos(x) - cos(x-2) + 8= cos(x+2) - cos(x-2) + 8

Hence, the solution is cos(x+2) - cos(x-2) + 8.

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