A cruise ship can cover 17 nautical miles in 391 minutes. How many nautical miles will it travel in 253 minutes?

Answer:

b is not a function

Step-by-step explanation:

To be a function there must be a one to one correspondence.

Each x must only go to one y

b has an x that goes to two different y's

1 goes to 5 and 13.  That makes it a relation not a function

The fraction nonconforming for this sample is 0.112, or 11.2%.

This is the value that the QC inspector can use to create a p-chart for analyzing the gears' non-conformance.

To calculate the fraction nonconforming, we'll use the following formula:
Fraction nonconforming = Number of nonconforming items / Total sample size
In this case, the number of nonconforming items is 28 gears, and the total sample size is 250 gears.

Now, let's plug in the numbers:
Fraction nonconforming = 28 / 250
Now, we'll divide 28 by 250:
Fraction nonconforming = 0.112

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Answer:

D

Step-by-step explanation:

The y-intercept is the initial amount and the rate of change is the amount she saved each week so that eliminates A and B. Since the y-intercept is 20 the answer is D.

The required number of sessions is obtained as 2.

A linear equation can be balanced by adding or subtracting the same number on both sides of the equality sign. Similarly, multiplication and division is also possible with the same numbers.

Suppose the number of sessions be x.

Then, the expression for the training cost as per the first plan is given as 41 + 83x.

And, for the another plan it is 43x + 82.

As per the question both the expressions has to be equated for the same cost as follows,

43 + 82x = 41 + 83x

=> 43 - 41 = 83x - 82x

=> x = 2

Hence, the number of sessions for both the plans to have same cost is 2.

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Answer:

so whats your question?

Step-by-step explanation:

1WHATS

2YOUR

3QUESTION

4?????

Answer:

C

Step-by-step explanation:

√9 = 3

3 • √5 • √2 = 3√10

Alternatively, √9 • √5 • √2 = √90 = 3√10

Answer:

C

Step-by-step explanation:

First, multiply all the square roots.

So, sqrt(9) x sqrt(5) x sqrt(2) = sqrt(9x5x2) =sqrt(90)

Think of two numbers that multiply to 90. One possible pair is 9x10.

So, sqrt(90) = sqrt(9x10)

Using the properties of surds,

Sqrt(9x10) = sqrt(9) x sqrt (10)

We know that sqrt(9) = 3

So, sqrt(90) = 3 x sqrt(10)

Hope this helps

Answer:

first one

Step-by-step explanation:

lemme know if im right

Answer:

first one I think is right

Answer:

Step-by-step explanation:

Δ = \(4^{2} - 4 * 4 * (-63) = 16 + 16 * 63 = 16 * (1 + 63) = 16 * 64\)

VΔ = 4 *  8 = 32

a = (- 4 ± 32) * \(\frac{1}{8}\)

a' = 7/2

a''= 9/2

If you are solving for z:

-8=z/14

multiply by 14 on both sides:

z = -112

If the research company decides to increase the sample size from 5,000 to 10,000 in their study of the U.S. workforce population by interviewing individuals on a street corner in New York, they would be expanding the sample size.

Increasing the sample size to 10,000 would likely result in a more representative sample of the U.S. workforce population.

With a larger sample, there is a higher likelihood of capturing a broader range of characteristics, perspectives, and diversity within the population.

This can help reduce potential sampling bias and provide more reliable and accurate results.

By interviewing a larger number of individuals, the research company can also increase the precision of their estimates and reduce the margin of error in their findings.

A larger sample size tends to yield more statistically robust results, allowing for greater confidence in the generalizability of the study's conclusions to the broader U.S. workforce population.

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Answer:

4 * 14 = 56

Step-by-step explanation:

56/2 = 28

28/2 = 14

14/2 = 7

7/7 = 1

56 = 2 * 2 * 2 * 7

56 = (2 * 2) * (2 * 7)

56 = 4 * 14

The particular solution to the recursion equation is:

u(t) = [(1 + √2)/2√2] (1 + √2)^t [-√2, 1+√2]^T + [(1 - √2)/2√2] (1 - √2)^t [√2, 1-√2]^T.

The recursion equation u(t+1)=2u(t)+u(t−1) can be written as a discrete dynamical system in the form of:

X(t+1) = A X(t)

where X(t) = [u(t), u(t-1)]^T and

A =  | 2   1 |

| 1   0 |

is the coefficient matrix.

To find the eigenvalues and eigenvectors, we first need to compute the characteristic polynomial:

det(A - λI) = (2 - λ)(-λ) - 1 = λ^2 - 2λ - 1

Using the quadratic formula, we obtain the eigenvalues λ1 = 1 + √2 and λ2 = 1 - √2.

To find the eigenvectors, we solve the homogeneous system (A - λI)x = 0 for each eigenvalue λ.

For λ1 = 1 + √2, we have:

(A - λ1I)x =  | 2 - (1 + √2)   1         |   | x1 |     |0|

| 1             - (1 + √2)|   | x2 |  =  |0|

Solving this system yields the eigenvector x1 = [-√2, 1 + √2]^T.

For λ2 = 1 - √2, we have:

(A - λ2I)x =  | 2 - (1 - √2)    1          |   | x1 |     |0|

| 1              - (1 - √2)|   | x2 |  =  |0|

Solving this system yields the eigenvector x2 = [√2, 1 - √2]^T.

The general solution of the recursion equation is given by:

u(t) = c1 λ1^t x1 + c2 λ2^t x2

where c1 and c2 are constants determined by the initial conditions u(0) = 1 and u(1) = 1.

Substituting t=0 and t=1, we obtain the following system of equations:

c1 x1 + c2 x2 = [1, 1]^T

c1 λ1 x1 + c2 λ2 x2 = [1, 0]^T

Solving this system yields c1 = (1 + √2)/2√2 and c2 = (1 - √2)/2√2.

Therefore, the particular solution to the recursion equation is:

u(t) = [(1 + √2)/2√2] (1 + √2)^t [-√2, 1+√2]^T + [(1 - √2)/2√2] (1 - √2)^t [√2, 1-√2]^T.

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Answer:

I don't understand your question! I would love to help, but I don't understand!

Step-by-step explanation:

a(n) = a(n-1) - 6.
The (n) and (n-1) is a subscript I just don't know to write it here.

The unit rate, which is a constant between the ratio of two numbers that vary concurrently, can also be used to refer to the slope. Slope follows the same rule.

As long as the rise/run along the line remains constant, the slope between any two places on a straight line will always be the same.

A linear relationship grows or shrinks at a constant rate of change, similar to a proportional relationship. This is known as the constant of proportionality in a relationship. It can also be referred to as the slope or unit rate in a linear connection. The slope of a line said to be its steepness.

Like the proportionality constant, the slope shows how quickly an amount is rising or falling. The only difference between the slope and the constant of proportionality is that the relationship need not begin at 0. Mathematicians frequently substitute the term slope or unit rate for the proportionality constant.

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the number 6 is in the hundredths place and 4 is in the ones place

Answer:

(x + 13, y + 7)

Step-by-step explanation:

Hello there!

In order to find what the translation rule is, we need to find how much it move to the right/left and up/down

In this case, the line segment VW moved up 7 and to the right by 13

We can get this by checking how far apart the points are

I checked how far apart V and V prime

(V prime is the green V. When a point is primed, its just saying that the point has gone through translation, rotation, dilation, or reflection)

V is 13 units to the left of V prime and 7 units below V prime

This means that, to go from line VW to line V prime W prime, you need to shift the line up 7 units and to the right 13 units

So, the translation rule is (x + 13, y + 7)

*If you don't understand, tell me in the comments, I will try to explain further to your understanding. Thank you, and have a great rest of your day :)*

The maximum value of f(x, y) = x + y, subject to the budget constraint 2x + 4y = 8, is 4.

To solve the constrained maximization problem:

Maximize f(x, y) = x + y

Subject to the budget constraint: 2x + 4y = 8

We can use the method of Lagrange multipliers to find the solution.

Step 1: Set up the Lagrangian function:

L(x, y, λ) = f(x, y) + λ(g(x, y) - c)

Where:

f(x, y) = x + y (objective function to maximize)

g(x, y) = 2x + 4y (budget constraint)

c = 8 (constant in the budget constraint)

λ is the Lagrange multiplier.

Step 2: Take partial derivatives of L(x, y, λ) with respect to x, y, and λ:

∂L/∂x = ∂f/∂x + λ∂g/∂x = 1 + 2λ

∂L/∂y = ∂f/∂y + λ∂g/∂y = 1 + 4λ

∂L/∂λ = g(x, y) - c = 2x + 4y - 8

Step 3: Set the partial derivatives equal to zero and solve the resulting system of equations:

1 + 2λ = 0 --> λ = -1/2

1 + 4λ = 0 --> λ = -1/4

2x + 4y - 8 = 0

Solving the last equation:

2x + 4y - 8 = 0

x + 2y = 4

x = 4 - 2y

Substituting x in terms of y into the budget constraint:

2(4 - 2y) + 4y = 8

8 - 4y + 4y = 8

8 = 8

The constraint equation is satisfied.

Step 4: Plug the values of x and y back into the objective function to find the maximum value:

f(x, y) = x + y

f(x, y) = (4 - 2y) + y

f(x, y) = 4 - y

Therefore, the maximum value of f(x, y) = x + y, subject to the budget constraint 2x + 4y = 8, is 4, which occurs when x = 4 - 2y.

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The surface area of the part of the x2 + y2 + z2 = 8z that lies inside the paraboloid z = x2 + y2, using the cylindrical coordinates is given as below:

The integral to find the surface area in the cylindrical coordinates, we can write as,

∫∫ dS = ∫∫ r dθ dr The given surface is x2 + y2 + z2 = 8z and the paraboloid is z = x2 + y2

By substituting the value of z from the paraboloid to the first equation,

we get,x2 + y2 + (x2 + y2)2 = 8(x2 + y2) Simplify it by expanding the square term as,

x2 + y2 + x4 + 2x2y2 + y4 = 8x2 + 8y2Now,

re-write the equation as,

x2 + y2 - 8x2 - 8y2 + x4 + 2x2y2 + y4 = 0On

solving this equation, we get

x2 + y2 - 8x2 - 8y2 + x4 + 2x2y2 + y4 = (x2 - 4x + y2 - 4y + 8)(x2 + 4x + y2 + 4y - 8) = 0

The equation of the paraboloid is given as, z = x2 + y2Hence,

the integral to find the surface area of the given surface in cylindrical coordinates,

∫∫ dS = ∫∫ r dθ dr Bounds of the integral to find the surface area are 0 ≤ θ ≤ 2π and r1 ≤ r ≤ r2,

where r1 and r2 are the radii of the cylinder.

Solve this equation and get the values of r1 and r2,r2 = 2r1

On solving the quadratic equation of (x2 - 4x + y2 - 4y + 8)(x2 + 4x + y2 + 4y - 8) = 0,

we get,

x2 + y2 - 4x - 4y + 4 = 0

The equation of the circle is given as

,x2 + y2 = 4x + 4y - 4 Solve for x and y to get,

x = 2 + cos θ y = 2 + sin θ

The radius of the circle is given as,

√(42 + 42) = √32 Thus,

the limits of integration of r are r1 = 0 and r2 = √32.

Integrating over the limits,

∫0^2π ∫0^√32 r dr dθ= 1/2(32) (2π)= 16πTherefore,

the surface area of the given surface is 16π.

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The probability of both representatives being girls is 39/158, or approximately 0.247.

To find the probability of both representatives being girls, we first need to find the probability of selecting a girl as the first representative, and then the probability of selecting another girl as the second representative, given that the first one was a girl.

The probability of selecting a girl as the first representative is 40/80, or 1/2, since there are 40 girls in the group of 80 students.

Once a girl has been chosen as the first representative, there will be 39 girls left in the group of 79 students (since one student has already been chosen), so the probability of selecting another girl as the second representative is 39/79.

To find the probability of both events occurring (selecting a girl as the first representative and then selecting another girl as the second representative), we multiply the probabilities together:

1/2 x 39/79 = 39/158

Therefore, the probability is 39/158, or approximately 0.247.

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Answer:

where did he get 4 from he has to solve for the y -intrtcept

Answer:

y = -3/4x + 7/4

Step-by-step explanation:

First you move to get y by itself

4y = -3x + 7

then you divide by 4

this may be a messy answer

then you get y = -3/4x + 7/4

Answer:

P=21

Step-by-step explanation:

Add 9 to 12

Answer: Heyy bestie ❤️ The Answer is 21

Step-by-step explanation:

P-9=12

p=12+9

p=21

purple

i know for sure it's purple

Answer:

Hey, answer is attached.

Step-by-step explanation:

Hope this helps.

To convert micrograms (μg) to milligrams (mg), you can divide the number of micrograms by 1000. So, the formula for converting micrograms to milligrams is: mg = μg / 1000.

To convert micrograms to milligrams, divide the number of micrograms by 1000. This is because there are 1000 micrograms in 1 milligram. For example, if you have a measurement of 5000 micrograms and you want to convert it to milligrams, you would divide 5000 by 1000 to get 5 milligrams. This conversion is useful in many fields, including medicine, where medication dosages are often measured in milligrams, and scientific research, where precise measurements of small amounts of substances are necessary.

For example, let's say you have a measurement of 5000 micrograms and you want to convert it to milligrams:

mg = 5000 μg / 1000

mg = 5 mg

Therefore, 5000 micrograms is equal to 5 milligrams.

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The angle with a vertex at Y is ∠XYZ

Option B is the correct answer.

We have,

A vertex is a point where two or more line segments, rays, or sides of a shape meet.

In geometry, a vertex is often used to describe the point at which angles are formed, or where sides of polygons intersect.

For example, in a triangle, each of the three corners is a vertex, and in a quadrilateral, there are four vertices where the sides meet.

Now,

The vertex at Y.

This means,

Point Y has to be in the middle of the angle.

So,

∠XYZ is the angle with a vertex at Y.

Thus,

The angle with a vertex at Y is ∠XYZ

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Answer:

V=2197

Step-by-step explanation: