An astronaut that weighs
180 on Earth only weighs
30 pounds on the moon.
If on astronaut weights
25 pounds on the moon,
how much would they
weight on earth?

The mass flow rate of the fluid across the upper hemisphere with radius 3 is \(360\pi  √(4x^2 + 4y^2 + z^2)\)kg/s.

Given velocity field (v) = (2x, 2y, z) and constant density (ρ) = 80 kg/\(m^3\).To find mass flow rate of the fluid across the upper hemisphere with radius 3.

Mass flow rate \((dm/dt) = ρ.A.V\)

The quantity of mass that moves through a specific site in a particular amount of time is referred to as mass flow. It is a key idea in several disciplines, including fluid dynamics, engineering, and physics. The density of the material and the flow speed are what determine the scalar quantity known as mass flow.

Mass flow rate is calculated by multiplying density by velocity by cross-sectional area. The term "mass flow" is frequently used to refer to the movement of fluids in applications involving gases, powders, or granular solids as well as in pipelines or other channels. Units like kilogrammes per second (kg/s) or pounds per hour (lb/hr) are frequently used to measure it.

Where A = Area of cross-section, V = Velocity of fluid and ρ = density of fluid.Now,Area of the upper hemisphere with radius (r) =\(πr^2/2\) for mass flow.

Area of the upper hemisphere with radius\((r = 3) = π(3)²/2 = 4.5π m²\)

The velocity field (v) = (2x, 2y, z)

Now, V = \(√(2²x² + 2²y² + z²) = √(4x² + 4y² + z²)\)

Mass flow rate (dm/dt) = ρ.A.V= 80 × 4.5π × √(4x² + 4y² + z²)kg/s

Hence, the mass flow rate of the fluid across the upper hemisphere with radius 3 is \(360π √(4x² + 4y² + z²)\)kg/s.

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Answer

• a) Range: (-∞, –1)

• b) Horizontal asymptote when x ≤ 2: y = –3. Vertical asymptote when x > 2: x= 2. Horizontal asymptote when x > 2: y = –1.

• c) When x decreases, it approaches –3, and when x increases, it approaches –1.

Explanation

• Part A: Graph the piecewise function f (x) and determine the range.

Using a graphing tool we can get the following graph:

As the range is all the y-values included in the function, we can see that in this case, the range is:

• Part B: Determine the asymptotes of f (x). Show all necessary calculations.

We have to get the asymptotes from the part where x ≤ 2 and x > 2.

In x ≤ 2 we do not have a vertical asymptote as it is not a rational function, but we do have a horizontal asymptote, which is y = k when we have the function:

Thus, in our case y = –3.

In x > 2, we do have a vertical and horizontal asymptote. We can get the vertical asymptote by setting the denominator of the function to 0:

If we solve the expression by factoring we get two solutions:

Based on our function we can see that the vertical asymptote is x = 2 when x > 2. Then, the horizontal asymptote can be calculated with the limit:

Thus, our horizontal asymptote is y = –1 when x > 2.

• Part C: Describe the end behavior of f (x).

The end behavior of a function is how the function acts when x increases or decreases. Based on our graph we can see that when x decreases, it approaches –3, and when x increases, it approaches –1.

The probability is approximately 0.0549 or 5.49%. So, there is a 5.49% probability that all three randomly selected homes in the Quail Creek area have a security system.

To answer your question, we'll use the concept of probability. In this case, we want to find the probability that all three randomly selected homes in the Quail Creek area have a security system.

1. First, determine the probability that the first home has a security system:
There are 5 homes with security systems out of 14 total homes, so the probability is 5/14.

2. Next, determine the probability that the second home also has a security system:
Since one home with a security system has been "selected," there are now 4 homes with security systems out of the remaining 13 homes. So, the probability is 4/13.

3. Finally, determine the probability that the third home has a security system:
Since two homes with security systems have been "selected," there are 3 homes with security systems left out of the remaining 12 homes. So, the probability is 3/12, which simplifies to 1/4.

4. Multiply the probabilities from steps 1, 2, and 3 to get the probability that all three selected homes have a security system:
(5/14) * (4/13) * (1/4) = 20/364.

5. Round your answer to 4 decimal places:
The probability is approximately 0.0549 or 5.49%.

So, there is a 5.49% probability that all three randomly selected homes in the Quail Creek area have a security system.

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Answer:

Your answer would be (7, -9)

\(4x + x = 1 - 6\)

so x=_1

\( - 2y - 8y = - 7 - 3\)

so y=1

The approximate probability that all four seniors will be chosen at random is 0.48%.

To calculate the approximate probability that all four seniors will be chosen at random out of four seniors and six juniors competing for four places on a quiz bowl team, we need to consider the total number of ways to choose four students out of the ten, as well as the specific number of ways to choose all four seniors.

The total number of ways to choose four students out of the ten is given by the combination formula:

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

Where n is the total number of students (10 in this case) and r is the number of students to be chosen (4 in this case).

So, the total number of ways to choose four students out of ten is:

C(10, 4) = 10! / (4!(10 - 4)!) = 210

Now, we need to determine the number of ways to choose all four seniors out of the four available senior spots. Since we are choosing all four seniors, there is only one way to do so.

Therefore, the probability of choosing all four seniors is:

Probability = (Number of ways to choose all four seniors) / (Total number of ways to choose four students)

Probability = 1 / 210

Approximately, the probability is 0.0048 or 0.48%.

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The difference in the account balances at the end of the loan terms is given as follows:

$1,686.87.

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

The parameters for the offer 2 are given as follows:

P = 75000, r = 0.035, n = 12, t = 62/12.

Hence the balance of the offer 2 is given as follows:

B = 75000 x (1 + 0.035/12)^(12 x 62/12)

B = $89,842.51.

The balance of Offer 1 is of $91,529.38, hence the difference in the balances is given as follows:

91529.38 - 89842.51 = $1,686.87.

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Answer:

1/n^16

Step-by-step explanation:

The probability that they have an average weight of greater than 10 pounds and less than 15 pounds is 0.84134

In this question we have been given there are 250 dogs at a dog show who weigh an average of 15 pounds, with a standard deviation of 6 pounds. of 10 dogs are chosen at random.

We need to find the probability that they have an average weight of greater than 10 pounds and less than 15 pounds.

Given, μ = 12, σ = 8, n = 4

P(X > 8)

= P(z > (8 - 12 / 8/√4))

= P(z > -1)

= 1 - P(z ≤ -1)

= 1 - [1 - P(z ≤ 1)]

=  P(z ≤ 1)

= 0.84134

Therefore, the required probability is 0.84134

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Answer:

i think you meant -r > 0 so here is the graph for that:

Step-by-step explanation:

just ask!

Don should focus on sales promotion if he wants to help his clients create and maintain favorable relationships with their various internal and external groups. Option E is correct.

Hence we can conclude based on the explanation above that don should focus on sales promotion if he wants to help his clients create and maintain favorable relationships with their various internal and external groups.

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Answer:

Step-by-step explanation:

58(s-4)=0

58s-232=0

58s=232

S =232/58

S=4

Value of a is 4.

Answer: whats up

hello

Step-by-step explanation:

Answer:

The team is measuring at 364 ft below the surface

Step-by-step explanation:

Here, we want to get the depth at which the pressure was measured at

to get this, we will have to use the equation that relates the pressure to the depth

From the question, we have this as;

P = 13 + 8/13(d)

From the question, P is 237

Substituting this into the equation, we have

237 = 13 + 8/13(d)

237-13 = 8/13(d)

224 = 8/13(d)

8d = 13 * 224

d = (13 * 224)/8

d = 364 ft

Answer:

x=77

Step-by-step explanation:

180-38-39=103

180-103=77

Answer: 32/64= 1/2

Step-by-step explanation:

32/64 = (?)

32/64 = (2 x 2 x 2 x 2 x 2)/(2 x 2 x 2 x 2 x 2 x 2)

= 1/2

32/64 = 1/2

The simplest form of 32/64 is 1/2.

~Hope this helped :)

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

Here's your solution

=> area of circle = πr^2

,=> area = (22/7)*6*6

=> area = 113.04 insq

=> area of sector =( πr^2*8°)/360°

=> area of sector = 2.51 insq

=> area of shaded region = 113.04 - 2.51

=> area = 110.53 in.sq

hope it helps

Answer:

4.28

Step-by-step explanation:

Answer:

y=-3/5(x+5)+4

Step-by-step explanation:

y=m(x-h)+k

y=-3/5(x+5)+4

Answer:

1.25

Step-by-step explanation:

cause 5/4÷ 12/12 is 1/8 and 1/8 as a decimal is 1.25.

Answer:

24

Step-by-step explanation:

Okay, let's solve this step-by-step:

1) We are given: a = -8, b = 2, c = 7, d = 11

2) We are asked to solve the matrix equation: [[x + y, z], [z - x, w - y]] = [[a, b], [c, d]]

3) Matching up the elements in the matrices:

x + y = a = -8 (1)

z = b = 2 (2)

z - x = c = 7 (3)

w - y = d = 11 (4)

4) Solving the equations:

From (1): x + y = -8 => x = -8 - y

Substitute in (3): z - (-8 - y) = 7 => z - (-8) = 7 + y => z = 15 + y

Substitute (2) into the above: 2 = 15 + y => y = 13

Substitute y = 13 into (1): -8 - 13 = -21 = x

Substitute x = -21 and y = 13 into (4): w - 13 = 11 => w = 11 + 13 = 24

Therefore, the values are:

x = -21

y = 13

z = 15

w = 24

So the final value of w is:

w = 24

Answer:

The answer would be 2.1 so it must be D

Step-by-step explanation: divide them

Answer:

It would cost $18 to ride the taxi 10 miles.

Answer:

$18.00

Step-by-step explanation:

1.5 times 10 + 3

15 + 3

18

Answer:

descending order, meaning standard form.

Step-by-step explanation:

Ex: x^2-5x+2

or

Ex: 2x^3 -5x^2 -2x +3

tell me if it doesn't make sense

The responsibility of members of Congress this phrase best describeis performing oversight. The Option D.

They have responsibility of performing oversight to ensure that the executive branch which includes President and executive agencies is not abusing its power. Oversight involves monitoring the actions and policies of the executive branch to ensure they are in line with the Constitution and best interests of the American people.

Through hearings and investigations, the members of Congress play a crucial role in holding the executive branch accountable and preventing any potential abuses of power.

Full question:

Which responsibility of members of Congress does this phrase best describe?

Making sure the executive branch isn't abusing its power

A. Educating the public

B. Making laws

C. Representing people

D. Performing oversight.

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A zero function is a constant function for which, regardless of the inputs, the output value is always zero.A zero function's input can be any real number, but its output is always zero, hence it can take any value from the real numbers

Solve the problem ?

The function f (x) = x - 8  has zeros.

To make f (x) = x  -  8 = 0,   find x.

Start by factoring f (x),

then f(x) =(x-8)=0

f (8 )  =    0

x =  8

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