chegg determine whether the vector field is conservative. if it is, find a potential function for the vector field.

Answer:

Step-by-step explanation:

what is the value of a in a/5 + 3= 8

a/5 + 3= 8

a/5 = 8 - 3

a/5 = 5

a = 5 * 5

a = 25

Answer: a= 25

Step-by-step explanation:

first, you'll have to write the opposite of the + symbol which is - and then you'll have to lose the 3 by substracting it with, so the equation will look like this: a/5= 8-3 not 8+3

a/5=5

after that step you'll have to multiply 5 from the equal sgin with the 5 that is divided by a, so the final equation looks like this:

a=5x5

a=25

now let's make a verification:

25/5+3=8

5+3=8

a=25

hope I helped you :)

26 square feet is the exact surface area of the composed figure with two cones.

The composed figure has two cones.

The formula to find the surface area of cone is A=πr(r+√h²+r²))

Where r is radius and h is height of the cone.

Both the cones have radius of 1 ft and height of 2ft and 4 ft.

Area of cone 1=3.14×1(1+√4+1)

=3.14(1+√5)

=10.16 square fee

Area of cone 2=3.14×1(1+√16+1)

=3.14(1+√17)

=16.01square feet.

Total surface area = 10.16+16.01

=26.17 square feet.

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Answer:

A) <RXZ and <YXZ

Step-by-step explanation:

I just took the test

Answer:

its a

Step-by-step explanation:

Answer:

if its -45, then -14,-15 and -16

Step-by-step explanation:

Answer:

Any Number

Step-by-step explanation:

g(x) can be any number greater or smaller than f(x) by the value of k - and so whatever k is, is how to make f turn to g.

Answer:

3/8*5/7=15/56

(n! + (n + 1)!) / n! = n!/n! + (n + 1)!/n! = 1 + (n + 1) = n + 2

because (n + 1)! = (n + 1)n!.

Answer:

50 -> 20%

150 -> 60%

Step-by-step explanation:

50 is 20 % of the 250 games.

150 is 60 % of the 250 games.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

Total number of games = 250,

Also given that, percent value of 250 is 100%

Therefore,  value of 50 is 20%

And value of 150 is 60%

50 is 20% and 150 is 60% of 250 games.

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The ball takes 4.25 seconds to hit the ground.

The time it takes for a ball to fall from a given height can be calculated using the equation:

t = $\sqrt{\frac{2d}{g}}$

where t is the time (in seconds), d is the distance fallen (88.51 meters), and g is the acceleration due to gravity (approximately 9.8 m/s^2 on the surface of Earth).

Plugging in the given values, we have:

t = $\sqrt{\frac{2*88.51}{9.8}}$ = $\sqrt{18.089}$ = 4.25 seconds

To round the answer to 2 decimal places, we get 4.25 seconds

It's important to note that this equation assumes that there is no air resistance, and it's only valid for objects falling in a vacuum.

In reality, air resistance becomes significant as the speed of the falling object increases, and it will cause the object to fall more slowly than this equation predicts.

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\(\frac{97}{100}\) probability that a randomly chosen college student either has a job or lives on campus.

What is probability?

To find the probability that a randomly chosen college student either has a job or lives on campus:

Given: 85% of college students have a job, 54% live on campus, and 42% have a job and live on campus.

So, out of 100 students, 42 students either has a job or live on campus.

43 college students have a job and 12  live on campus.

So, 43 + 42 + 12 = 85 + 54 - 42

85 + 12 = 139 - 42

97 = 97

Therefore, \(\frac{97}{100}\) probability that a randomly chosen college student either has a job or lives on campus.

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Answer:

approximately 85 feet

Step-by-step explanation:

Since s varies directly as the square of t, then the variation equation takes the form \(s=kt^2\).

Solve for k by substituting s=144 and t=3. That is,

\(s=kt^2\\144=k(3)^2\\k=16.\)

With k=16, then the variation equation is \(s=16t^2.\)

To find the height, s, after 2.3 seconds, substitute t=2.3 in the equation of variation. That is,

\(s=16t^2\\s=16(2.3)^2\\s=16(5.29)\\s=84.64\\s\approx85.\)

Hence, the height, s, after 2.3 seconds is approximately 85 feet.

Answer:

31,700

Step-by-step explanation:

10 to the 4th is 10,000, and 10,000 times 3.17 is 31,700

Answer:

31700

Since the exponent of the scientific notation is positive, move the decimal point  

4

places to the right.

Answer:

a^2/3  

Step-by-step explanation:

The value of the line integral is 9 + 8 + 48 = 65.

Given the following line integral in terms of x, y, and z as  

∫ (0,0,0) (3,2,8)xdx+4ydy+6zdz,

we need to evaluate the line integral,

The value of the line integral is 46

Given, the line integral as ∫ (0,0,0) (3,2,8)xdx+4ydy+6zdz.

First, we need to evaluate the x-component of the given line integral as follows.

∫(0,0,0) (3,0,0)dx = [3x] (0,3) = 3 * 3 - 3 * 0 = 9

Now, we need to evaluate the y-component of the given line integral as follows.

∫(0,0,0) (0,4,0)dy = [4y] (0,2) = 4 * 2 - 4 * 0 = 8

Now, we need to evaluate the z-component of the given line integral as follows.

∫(0,0,0) (0,0,6)dz = [6z] (0,8) = 6 * 8 - 6 * 0 = 48

Therefore, the value of the line integral is 9 + 8 + 48 = 65.

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Area of the triangle = 1/2 x base x height

Area of triangle = 1/2 x 6 x 8.3 = 24.9 square feet.

Area of rectangle = length x width

Area of rectangle = 33.2 x 12 = 398.4 square feet.

To find the number of triangles that can fit in the rectangle divide the area of the rectangle by the area of the triangle:

398.4 / 24.9 = 16

Answer: 16 triangles

Rounding to the nearest tenth, the surface area painted is approximately 263.8 square inches.

12π inches / 2π = 6 inches / 2π = 6 / 2 = 3 inches

So, the radius of the rod is 3 inches.

Next, we find the surface area of one piece of the rod by using the formula for the surface area of a cylinder:

Surface area = 2πr(h + r)

Surface area = 2π * 3 * (4 + 3) = 2π * 3 * 7 = 42π square inches

Finally, we multiply the surface area of one piece of the rod by 2 to find the total surface area painted:

Surface area painted = 42π square inches * 2 = 84π square inches

Using π ≈ 3.14, the surface area painted is approximately 84 * 3.14 = 263.76 square inches.

Therefore, The rounding to the nearest tenth, the surface area painted is approximately 263.8 square inches.

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Answer:

how are you

Step-by-step explanation:

Answer:

a square plus 2ab plus b square......hope this will help you...thank you

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

\(\boxed{\huge\boxed{\mathsf{(a + b)^2}}}\\\boxed{\huge\boxed{\frak{= a + b \times a + b}}}\\\\\boxed{\huge\boxed{\rm{ = a^2 + 2ab + b^2}}}\huge\checkmark\) \(\boxed{\huge\boxed{\leftarrow} \text{ YOUR ANSWER}}\)

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

~\(\rm{Amphitrite1040:)}\)

We need to find the probability that you are randomly assigned a General Practitioner or a doctor under the age of 45.

In order to find this probability, we need to find the number of doctors that are General Practitioner or under under the age of 45. Then, divide that number by he total of 17.

We know that 7 doctors are General Practitioners. And 2 of them are also under the age of 45.

Therefore, since ther are 4 doctors that are under the age of 45, there are 2 additional doctors, besided those 2 that follow in both categories, there are under the age of 45.

Summarizing, the number of doctors that are General Practitioner or a doctor under the age of 45 is:

Notice that this result can also be obtained by the formula:

where A is the set of General Practitioners, B is the set of doctors under the age of 45, and the symbol |...| represents the number of elements in that set:

Therefore, the required probability is:

Answer

The symbol for the cube root is ∛.

Cube root is the reverse of the cube of a number and is denoted by ∛. In other words, cube root of number is a value which when multiplied by itself thrice or three times produces the original value.

For example let's find the cube root of 8.

Using the cube root symbols,

∛8 = 2

The cube root of 8 is the number one can multiply thrice to get 8. Therefore, that number is 2.

Hence, the symbol is ∛

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The probability that the ace comes first can be determined by considering the two possible outcomes: either the ace is drawn before any spade is drawn, or a spade is drawn before the ace. Since the deck is sampled with replacement, each draw is independent.

The probability of drawing an ace on the first draw is 4/52 (as there are four aces in a deck of 52 cards). The probability of drawing a spade (but not the ace of spades) on the first draw is 12/52 (as there are 13 spades in the deck, but we exclude the ace of spades). If neither of these events occurs on the first draw, the game continues with the same probabilities on subsequent draws.

To find the probability that the ace comes first, we can set up an infinite geometric series. The probability of the ace coming first is equal to the probability of drawing an ace on the first draw (4/52), plus the probability of drawing a spade on the first draw (12/52) multiplied by the probability of eventually drawing an ace (the desired outcome) on subsequent draws.

In mathematical terms, the probability that the ace comes first can be calculated as follows:

P(ace comes first) = 4/52 + (12/52) * P(ace comes first)

P(ace comes first) - (12/52) * P(ace comes first) = 4/52

(40/52) * P(ace comes first) = 4/52

P(ace comes first) = (4/52) / (40/52)

P(ace comes first) = 1/10

Therefore, the probability that the ace comes first is 1/10 or 0.1.

To understand the probability that the ace comes first, we can analyze the possible sequences of card draws. In order for the ace to come first, it must be drawn on the first draw, or if a spade is drawn, it should not be the ace of spades.

The probability of drawing an ace on the first draw is 4/52 since there are four aces in a standard deck of 52 cards. On the other hand, the probability of drawing a spade (excluding the ace of spades) on the first draw is 12/52, as there are 13 spades in total, but we remove the ace of spades from consideration.

If an ace is not drawn on the first draw, the game continues, and the probability of eventually drawing an ace (the desired outcome) remains the same. This scenario can be represented by setting up an infinite geometric series where the first term is the probability of drawing an ace on the first draw and the common ratio is the probability of not drawing an ace on subsequent draws.

Using the formula for the sum of an infinite geometric series, we can solve for the probability that the ace comes first. By substituting the known probabilities into the equation, we find that the probability is 1/10 or 0.1.

Therefore, there is a 1 in 10 chance that the ace comes first in this sampling process.

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Answer:

(0,6) and (-2, 0)

Step-by-step explanation:

All straight lines follow the equation, y = mx + c. where c is the y-intercept (the point where the line meets the y-axis) and m is the gradient.

In this equation, c = 6. So, the point where the line meets the y-axis is (0, 6).

Remember: the point where the line meets the y-axis always has an x-coordinate of 0 and the point where the line meets the x-axis has a y-coordinate of 0.

using this information, we can substitute y in the equation with 0 becoming

0 = 6 + 3x

now we can solve for x.

0 -6 = 3x

-6 / 3 = x

x = -2

the coordinate is (-2, 0)

The measure of angle k will be 17 degree.

The length of KL will be 1.2 yards.

The length of JK will be 0.83 yards.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle is the right triangle.

Now,

Since, The triangle is the right triangle.

Hence, The measure of the angle L = 90 degree

So, The measure of K = 180 - (73 + 90)

                                   = 17 degree

And, We know that;

sin θ = perpendicular / Base

⇒ sin 90° = JK / 0.83

⇒ 1 = JK / 0.83

⇒ JK = 0.83 yards

And, The triangle is the right triangle.

So, Apply the Pythagoras theorem, we get;

⇒ KL² = KJ² + JL²

⇒ KL² = 0.83² + 0.83²

⇒ KL² = 2 × 0.83²

⇒ KL = √2 × 0.83²

⇒ KL = 0.83 × 1.414

⇒ KL = 1.2

Thus, We get;

⇒ The length of KL will be 1.2 yards.

The length of JK will be 0.83 yards.

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Answer:

Its the second choice.

Step-by-step explanation:

x does not have a value of -2 so is not in the domain

The range does not have values  greater than 1 and less than or equal to 4.

Answer: The expected value of V can be calculated as the sum of the products of the possible values of V and their corresponding probabilities. Let's consider the three possible scenarios:

Using the utility function, we can see that the expected value of V is:

E[V] = 0 * 0.2 + (1/2) * (0.8 * 9/10) + 10 * (0.8 * 1/10)

E[V] = 0 + 0.36 + 0.8

E[V] = 1.16

Therefore, the expected value of V is 1.16. However, since V represents the number of healthy vacation days, it must be a non-negative integer. So, the closest integer to 1.16 is 1. Therefore, the answer is c. 2.

Answer:

correct option is A

Step-by-step explanation:

mark me

Answer:

ooh another quintessential quintuplets fan pfp I see