In a school of 200 students, 100 study arts and 70 study biology and 46 study chemistry. 28 study arts and chemistry,23 study biology and chemistry, 30 study arts and biology. 18 study all the three subjects. Represent the information on a venn diagram
​Find the number of people who do not study any of the three subjects.
The number of students who study only one subject

The gravitational potential energy of the vacationers will decrease as they approach the end of the pier.

As the vacationers approach the end of the pier, their gravitational potential energy will decrease.

Gravitational potential energy is the energy an object possesses due to its position in a gravitational field. It depends on the height of the object and the acceleration due to gravity.

In this scenario, as the vacationers walk out on the horizontal pier, their height above the ground remains constant. Since the height does not change, the gravitational potential energy also remains constant.

However, as they approach the end of the pier, their distance from the center of the Earth decreases. As a result, the gravitational potential energy decreases because it is directly proportional to the distance from the center of the Earth.

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Answer:

I think it is 5p plus 3

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

If each pack had 5 pieces, that would mean that every pack (p) would equal 5•p, or 5p. The question is asking how many total pieces she has. So if 5 pieces equals one pack, you would have to add the pieces she previously had to add those to 5p. We don't know how many packs she bought, so we would have to replace that number with a variable (p). So 5p + 3

The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is 9980

The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is calculated by summing the area of each subinterval under the midpoint of the interval.

The formula for the midpoint Riemann sum is given by:

Sum = (width of interval) * (height of midpoint)

For this problem, since the width of each interval is 16/4 = 4, the midpoint Riemann sum is calculated by:

Sum = 4 * (1 + (16/4)^3 + (32/4)^3 + (48/4)^3)

Substituting the values for each midpoint, we get the following equation:

Sum = 4 * (1 + 4^3 + 8^3 + 12^3)

This simplifies to:

Sum = 4 * (1 + 64 + 512 + 1728)

Therefore, the midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is:

Sum = 4 * (2495)

Sum = 9980

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Answer: It's 64

Step-by-step explanation:

12x5=60

60+4=64

Answer:

64 inches

Step-by-step explanation:

Answer:

13 cups

Step-by-step explanation:

If the small box has 10 cups, then:

(small)     10 cups   =   100%

(medium)    x cups     =   130%

Now, cross multiply:

10 (130) = x (100)

1300 = 100x

x = 13

Another way to solve this is by turning 30% into a decimal:

30/100 = 0.3

10 (0.3) = 3

Now you have 30% of the 10 cups, but you need 30% more than the small box, so:

10 + 3 = 13 cups

Therefore, the global maximum value of the function on the region B is 12, and the global minimum value is 4.

To find the global maximum and minimum values of the function f(x, y) = x² + y² + x²y + 4y² + x²y + 4 on the region B = {(x, y) ∈ R² | −1 ≤ x ≤ 1, -1 ≤ y ≤ 1}, we need to evaluate the function at its critical points within the given region and compare the function values.

1. Critical Points:

To find the critical points, we need to find the points where the gradient of the function is zero or undefined.

The gradient of f(x, y) is given by:

∇f(x, y) = (df/dx, df/dy) = (2x + 2xy + 2x, 2y + x² + 8y + x²).

Setting the partial derivatives equal to zero, we get:

2x + 2xy + 2x = 0          (Equation 1)

2y + x² + 8y + x² = 0      (Equation 2)

Simplifying Equation 1, we have:

2x(1 + y + 1) = 0

x(1 + y + 1) = 0

x(2 + y) = 0

So, either x = 0 or y = -2.

If x = 0, substituting this into Equation 2, we get:

2y + 0 + 8y + 0 = 0

10y = 0

y = 0

Thus, we have one critical point: (0, 0).

2. Evaluate Function at Critical Points and Boundary:

Next, we evaluate the function f(x, y) at the critical point and the boundary points of the region B.

(i) Critical point:

f(0, 0) = (0)² + (0)² + (0)²(0) + 4(0)² + (0)²(0) + 4

       = 0 + 0 + 0 + 0 + 0 + 4

       = 4

(ii) Boundary points:

- At (1, 1):

f(1, 1) = (1)² + (1)² + (1)²(1) + 4(1)² + (1)²(1) + 4

       = 1 + 1 + 1 + 4 + 1 + 4

       = 12

- At (1, -1):

f(1, -1) = (1)² + (-1)² + (1)²(-1) + 4(-1)² + (1)²(-1) + 4

         = 1 + 1 - 1 + 4 + (-1) + 4

         = 8

- At (-1, 1):

f(-1, 1) = (-1)² + (1)² + (-1)²(1) + 4(1)² + (-1)²(1) + 4

         = 1 + 1 - 1 + 4 + (-1) + 4

         = 8

- At (-1, -1):

f(-1, -1) = (-1)² + (-1)² + (-1)²(-1) + 4(-1)² + (-1)²(-1) + 4

          = 1 + 1 + 1 + 4 + 1 + 4

          = 12

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Answer:

53 R4 Its A

Step-by-step explanation:

Look At Picture

Answer:

Jon is now 10% faster.

Step-by-step explanation:

Since Jon's average speed was 20 MPH and his new average speed is now 22 MPH, we can see that his speed increased by 2 MPH. Now we know that, we would now do 2÷20 = .1

10% is the percent form of 0.1

The value of y is; \(\frac{40}{7}\)

What is the 90-degree angle?

A right angle is one that is 90 degrees. A 90-degree angle exists when the angle formed by the horizontal and vertical lines is precisely equal to 90 degrees. The angle between the hands of a clock at 3 o'clock or 9 o'clock, the angles between two adjacent sides of a rectangular door or window, etc. are some instances of 90-degree angles in real life.

In the given figure: we can see that

\(m \angle W R Q=48\);

And, we know that the sum of the two angles is 90°

\(m \angle Q R V=7 y+6\)

\(m \angle W R Q + m \angle Q R V = 90\);

\(48+ 7y +2= 90\)

⇒50+7y = 90;

⇒7y = 40

y = \(\frac{40}{7}\)

Hence, The value of y is \(\frac{40}{7}\).

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Answer:

B. r = A-p/pt

Step-by-step explanation:

We can rearrange the equation to make \(r\) the subject of the equation:

\(A=p+prt\)

\(A-p = p+prt-p\)

\(A-p = prt\)

\(\frac{A-p}{pt} = \frac{prt}{pt}\)

\(r = \frac{A-p}{pt}\)

∴ Option B is correct

Hope this helps :)

Answer:

By translating the function cos(x) 90 degrees to the right.

Step-by-step explanation:

The sine function is just the cosine function translated 90 degrees to the right. You can see the visualization below. They overlap.

If you're wondering why the diagram shows a shift in

\(\pi / 2\)

That's just the equivalent to 90 degrees in radians.

Answer:

2 cartons

Step-by-step explanation:

Hey! To start, we need to determine what we already know, Martine needs 8 cups worth of broth, but can only find 32-fluid ounce cartons.

Next, we need to find what we need to know, how many fluid ounces are in a cup? There are 8 fluid ounces in 1 cup!

Now, all we need to do is convert our cups to be able to find out how many cartons we need! So, to do this, we are going to multiply our number of cups by the number of fluid ounces in just 1 cup (so 8!).

8 cups x 8 fluid ounces (per 1 cup) = 64 fluid ounces

So! Martina needs 64 fluid ounces of broth to be able to create her recipe!

But, we aren't finished just yet, as we need to find how many cartons Martina needs! Like we did before, we know that there a 32 fluid ounces in 1 carton so if we have 64 fluid ounces in the recipe, all we need to do is divide 64 by 32 to find out how many cartons we need!

64 fluid ounces (8 cups worth) ÷ 32 fluid ounces (per carton) = 2 cartons

Melina needs to buy 2 cartons of broth to be able to complete her recipe.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

x = 32

Step-by-step explanation:

The angle above 72° is 108° because they are supplementary angles, meaning they add up to 180°. Then we can set the equation 108° = (3x + 12)° because they are alternate interior angles, meaning that they are the same. So then we just solve for x.

108 = (3x + 12)

108 - 12 = 3x

96 = 3x

96 / 3 = x

32 = x

In a given study that the null hypothesis asserts the expected value of a phenomenon is 100 resulting in a 95% confidence interval reported as [98.76, 105.24], then we fail to reject the null hypothesis.

Therefore the answer is d) Fail to reject the null hypothesis.

A 95% confidence interval is a range of values that there is a 95% chance that the true value of a population parameter falls within. In this case, the 95% confidence interval is [98.76, 105.24], which includes the expected value of 100 that is stated in the null hypothesis.

Therefore, we fail to reject the null hypothesis because the data does not provide sufficient evidence to suggest that the true value of the population parameter is different from what is stated in the null hypothesis.

It's worth to mention that, Failing to reject the null hypothesis doesn't mean accepting it, it means that we don't have enough evidence to say that the parameter is different from the null hypothesis, it could be due the sample size, or other factors.

--The question is incomplete, complete question is as follows--

"Assume for a given study that the null hypothesis asserts the expected value of a phenomenon is 100. A research study results in a 95% confidence interval reported as [98.76, 105.24]. What decision would you make based on this confidence interval?

a) A decision cannot be made on a confidence interval; a hypothesis test is required.

b) Retain the null hypothesis.

c) Reject the null hypothesis.

d) Fail to reject the null hypothesis."

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When Kati and Mateo remove all 24 face cards from the 2 decks of cards each with 52 cards, they use the remaining 80 cards to play the game.

Therefore the answer is 80.

Number of decks of cards is 2 and each deck has 52 cards. Therefore total number of cards they initially have is

= 2 × 52

= 104

So they take 104 cards in the starting to play the game.

They remove all 24 face cards. So the number of cards remaining is given by

= 104 - 24

= 80

So they use 80 cards for playing the game.

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The remainder when the original number is divided by 130 is 0 using Chinese Remainder Theorem.

To solve this problem, we need to use the Chinese Remainder Theorem. Since the number has a remainder of 3 when divided by 10 and a remainder of 3 when divided by 13, we can write it as:

x ≡ 3 (mod 10)
x ≡ 3 (mod 13)

To find the solution, we can use the following steps:

Step 1: Find a solution to each congruence.

For the first congruence, we can see that x = 13k + 3 is a solution, where k is an integer. This is because any number of the form 13k + 3 will leave a remainder of 3 when divided by 10.

For the second congruence, we can use the same method and find that x = 10m + 3 is a solution, where m is an integer.

Step 2: Combine the solutions using the Chinese Remainder Theorem.

To combine the solutions, we need to find a number that satisfies both congruences. One way to do this is to use the equation:

x = aM(y)(b) + bM(x)(a)

where a = 10, b = 13, M(a) = 13, and M(b) = 10. Plugging in these values, we get:

x = 10(13)(y) + 13(10)(x)

Simplifying this equation, we get:

x = 130y + 130x - 130x + 130y

x = 260y

So any number of the form 260y will satisfy both congruences.

Step 3: Find the remainder when divided by 130.

To find the remainder when divided by 130, we can simply take the remainder of 260y when divided by 130. Since 260 is a multiple of 130, we know that the remainder will be 0. Therefore, the remainder when the original number is divided by 130 is 0.

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The total number of possible three-digit numbers is not odd, does not contain 6, and has at least one repeated digit is 13,221,888.

To find the number of possible three-digit numbers we need to use the systematic approach method

Step 1:

we have to find the number of three-digit numbers that are not odd. Number of possible choices for the units digit (0, 2, 4, or 8)= 4

Number of possible choices for tens and hundreds of digits (0-9 excluding 6 = 9

the total number of three-digit numbers that are not odd is,

= 4 x 9 x 9

= 324.

Step 2:

Count the number of three-digit numbers that do not contain 6.

Number of possible choices for each digit (0-5, 7, 8, or 9) = 8

the total number of three-digit numbers that do not contain 6 is,

= 8 x 8 x 8

= 512.

Step 3:

Count the number of three-digit numbers that do not have distinct digits. The number of possible choices for the repeated digit and 9 choices for the other digit = 9

the total number of three-digit numbers that have a repeated digit is

= 9 x 9 = 81.

Step 4:

Find the intersection of the sets of numbers counted in Steps 1-3.

To do this, we multiply the number of choices in each set:

= 324 x 512 x 81

= 13,221,888.

Therefore, 13,221,888 possible three-digit numbers are not odd, do not contain 6, and have at least one repeated digit.

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Answer:

1/2

Step-by-step explanation:

Example: (2,2) and (4,3)

Answer:

The answer is below

Step-by-step explanation:

Let's work it out slowly

A)

$18.79 + $2.11 - $1.92 + $17.28

- 18.79 + 2.11 + 17.28 = 38.18

- 38.18 - 1.92 = 36.26

Ans = $36.26

B)

$7.45 + $24.45 + $74.17 + $76.52

- 7.45 + 24.45 = 31.9

- 74.17 + 76.52 = 150.69

- 150.69 + 31.9 = 182.59

Ans = $182.59

C) $98.45 - $10.63 + $2.82 - $20.26

- 98.45 - 10.63 - 20.26 = 67.56

- 67.56 + 2.82 = 70.38

Ans = $70.38

Hope you understand

:-)

Answer:

We can use the principle of conservation of momentum to solve this problem. According to this principle, the total momentum of a system of objects remains constant if there are no external forces acting on the system.

Initially, only the cue ball is moving, and the 8 ball is at rest. Therefore, the initial momentum of the system is:

p_initial = m1 * v1 + m2 * v2

= 0.2 kg * 10 m/s + 0.15 kg * 0 m/s

= 2 kg m/s

After the collision, the cue ball is rolling forward at 1 m/s, and the 8 ball is moving in some direction with some velocity v_final. Therefore, the final momentum of the system is:

p_final = m1 * v1 + m2 * v_final

According to the conservation of momentum principle, p_initial = p_final. Therefore,

2 kg m/s = 0.2 kg * 1 m/s + 0.15 kg * v_final

Solving for v_final, we get:

v_final = (2 kg m/s - 0.02 kg m/s) / 0.15 kg

= 13.33 m/s

Therefore, the velocity of the 8 ball after the collision is 13.33 m/s.

Answer:

The correct answer is 25/32

Step-by-step explanation:

Let's recall that the division of two fractions is the same as multiplying the first fraction by the inverse or reciprocal of the second fraction. We get the reciprocal of a fraction by interchanging its numerator and denominator.

Upon saying that, we have:

5/8 ÷ 4/5 =

5/8 * 5/4 = (We use the inverse and not it is a multiplication)

25/32

The correct answer is 25/32

Answer:

a

Step-by-step explanation:

because it's calculated by dividing AbM and that's how a is answer

If the mean is greater than the median, the data is likely Right-skewed.

In mathematics, the mean is the average of a set of data, which is calculated by adding all the numbers together and then dividing the result by the total number of numbers. Right-skewed distributions have long right tails and are characterized by having a mean that is greater than the median. There are two different sorts of means that may be calculated: the arithmetic mean and the geometric mean. The arithmetic mean is calculated by adding all of the numbers in a set and dividing by the total number of integers in the set.

Therefore, the answer is right-skewed. A data set that is skewed to the right is one where the tail to the right of the data clusters is longer than the tail to the left of the data clusters. This means that the data set will have a mean value that is greater than the median.

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Answer:

$18,432

Step-by-step explanation:

After the first year, the speedboat is now worth $36,000 because 20% of 45,000 is 9,000, and 45,000 - 9,000 = 36,000. After the second year, it is now worth $28,800. After the third year, it is worth $23,040 since 20% of 28,800 is 5,760 and 28,800 - 5,760 = 23,040. After four years, the boat that once was worth $45,000 is now worth $18,432.

After 4 years, the value of boat is $9,000.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

A speedboat costs $45,000 is depreciating at a rate of 20% per year.

So, The depreciating amount after one year = 20% of $45,000

                                                                    = 20/100 × 45,000

                                                                    = $9,000

Thus, The value of boat after 4 years = $45,000 - 4 × $9,000

                                                         = $45,000 - $36,000

                                                         = $9,000

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Answer:

i got -45, so make sure you wrote the problem right because i solved correctly.

\(\huge\text{Hey there!}\)

\(\huge\boxed{\dfrac{(9 \times5) 2}{3}}\)

\(\huge\boxed{9 \times 5 = \bf 45}\)

\(\huge\boxed{ = \dfrac{45(2)}{3}}\)

\(\huge\boxed{45(2) = \bf 90}\)

\(\huge\boxed{= \dfrac{90}{3}} \\\\\huge\boxed{= \dfrac{90\div3}{3\div3}}\\\\\huge\boxed{= \dfrac{30}{1}}\)

\(\huge\boxed{= \bf 30}\)

\(\huge\boxed{\rm{Answer: 30}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\huge\boxed{\frak{Amphitrite1040:)}}\)

Answer:

30

Step-by-step explanation:

Multiply 9 and 5 to get 45.

Multiply 45 and 2 to get 90.

Divide 90 by 3 to get 30.

Answer:

Out of curiosity, what is making this problem difficult?

Step-by-step explanation:

initially there are 20 rabbits,  so the '?' is asking for that

Answer: 3

Step-by-step explanation:

=> 3/4 of 4

=> 3/4 × 4

through cross multiplication we get:

=> 3 answer

Hope that helps...