a math problem that equals 75 percent

Therefore , the solution of the given problem of equation comes out to be it took the aircraft roughly 0.156 hours, or 9.36 minutes, to fly 3,008 miles at a constant speed of 470 miles per hour.

Variable words are commonly used in complex algorithms to show consistency between two contradictory claims. Academic expressions called equations are used to show the equality of various academic numbers. In this case, normalization produces b + 7, in contrast to another algorithm, which can evaluate data from y + 7, divides 12 through two components, and produces y + 7.

Here,

The formula Hayden created is:

=> 470/h = 3008

We must separate h on one side of the equation in order to solve for it. By increasing both parts of the equation by h, we can achieve this:

=> 470 = 3008h

Then, to get h on its own, split the two sides of the equation by 3008:

=> h = 470/3008

By dividing the numerator and denominator by their 2 largest common factor, we can simplify this fraction:

=> h = 235/1504

Therefore, it took the aircraft roughly 0.156 hours, or 9.36 minutes, to fly 3,008 miles at a constant speed of 470 miles per hour.

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The value of x that satisfies the system of equations is 3. Option B

From the information given, we have the simultaneous equation given as;

x+2y=11

4x-y=8

Make 'x' the subject from equation 1, we have that;

x = 11 - 2y

Now, substitute the value into equation 2, we get;

4(11-2y) - y = 8

expand the bracket, we get;

44 - 8y -y = 8

add the like terms, we have;

-9y = -36

Make 'y' the subject

y = 4

Substitute the value, we have;

x = 11 - 2y

x = 11  - 2(4)

expand

x = 3

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To evaluate P(2), we plug in n=2 into the inequality 2^n < (n+1)!. This gives us 2^2 < (2+1)! which simplifies to 4 < 6. Therefore, P(2) is true.

To show the inductive step for k≥2, we assume that P(k) is true, i.e. 2^k < (k+1)!. We need to show that P(k+1) is also true, i.e. 2^(k+1) < (k+2)!.

Starting with P(k), we can multiply both sides by 2 to get 2^(k+1) < 2(k+1)!. Now we just need to show that 2(k+1)! < (k+2)!, which simplifies to 2 < (k+2)/(k+1). This is true for all k≥1, so P(k+1) is also true.

Therefore, we have shown that if P(k) is true for some integer k≥2, then P(k+1) is also true. This completes the inductive step.
(a) P(2) is given by the inequality 2^(n+1) < (n+1)!. When n = 2, the inequality becomes 2^(2+1) < (2+1)!, which simplifies to 2^3 < 3!, or 8 < 6. This is not true, so P(2) is false.

(b) P(k) is the inequality 2^(k+1) < (k+1)!. In the inductive step, we need to show that if k is any integer with k ≥ 2 and if P(k) is true, then P(k+1) is also true. This means that if 2^(k+1) < (k+1)!, we need to show that 2^(k+2) < (k+2)!.

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Answer:

x=-2

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

The coordinates of the figure are  A''(-3, 1),B''(2,2), C''(-2, -1).

What is the transformation of a point?

The transformation, or f: X →X, is the name given to a function, f, that maps to itself. After the transformation, the pre-image X becomes the image X. Any operation, or a combination of operations, such as translation, rotation, reflection, and dilation, can be used in this transformation. A function can be moved in one direction or another using translation, rotation, reflection, and dilation. A function can also be scaled using rotation around a point. Two-dimensional mathematical figures move about a coordinate plane according to transformations.

Given that the coordinates of the points A, B, C are A(-6,-3), B(-1,-4), C(-5,-1).

The rule of a reflection across the x-axis is (x,y)→(x,-y).

After reflection across the x-axis,

A(-6,-3)→ A'(-6,3)

B(-1,-4)→B'(-1,4)

C(-5,-1)→C'(-5,1)

A rule of translation of 3 units right and 2 units down is (x,y)→(x+3,y-2).

Thus the new coordinates are:

A'(-6,3)→ A''(-6+3,3-2)=A''(-3,1)

B'(-1,4)→ B''(-1+3,4-2)=B''(2,2)

C'(-5,1)→ C''(-5+3,1-2)=C''(-2,-1)

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9514 1404 393

Answer:

   (b)  2.45

Step-by-step explanation:

That distance is the magnitude of the vector between the two points:

  ∆ = y -x = (2 -3, 3 -2, 3 -5) = (-1, 1, -2)

Then the distance you want is ...

  |∆| = √((-1)² +1² +(-2)²) = √(1+1+4) = √6 ≈ 2.45

Answer: The intersection is an empty set as there are no common values between A and C.

Note: Interval notation uses parentheses for open intervals and brackets for closed intervals. The union of two sets A and B is represented as A ∪ B, which includes all the elements in both A and B. The intersection of two sets A and B is represented as A ∩ B, which includes only the elements that are common to both A and B.
Hello! I'd be happy to help you with your question.

Let's first understand the given sets A, B, and C in terms of interval notation.

A = {x ∈ R | -3 ≤ x ≤ 0} can be represented as [-3, 0] in interval notation.
B = {x ∈ R | -1 < x < 2} can be represented as (-1, 2) in interval notation.
C = {x ∈ R | 6 < x < 8} can be represented as (6, 8) in interval notation.

Now let's draw a number line with these intervals:
```
<-3----0>-1----2>-6----8>
 A     B        C
```

Based on your question, you have not specified the specific operation or task to be performed on these sets. However, I will provide some examples of operations you could perform on these sets using interval notation.

1. Intersection (A ∩ B): This operation finds the common elements between sets A and B.
From the number line, we can see that the intersection of A and B is the interval from -1 to 0. So, A ∩ B = (-1, 0].

2. Union (A ∪ B): This operation combines sets A and B without any repeating elements.
From the number line, we can see that the union of A and B is the interval from -3 to 2. So, A ∪ B = [-3, 2).

3. Complement (A'): This operation finds all the elements in the universal set R that are not in A.
From the number line, we can see that the complement of A would be all real numbers except those between -3 and 0 (inclusive). So, A' = (-∞, -3) ∪ (0, ∞).

Please let me know if you need help with any other specific operations or tasks involving these sets.

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The marginal probability function for Y is (c) (c) y=0 fy(y) = 1/2 y=1 fy(y) = 35/10 otherwise.

The marginal probability function for Y is calculated by summing the joint probabilities over all possible values of X for a given value of Y. Hence,

fy(0) = f(0,0) + f(1,0) = (0^2 + 300) * 5/10 + (1^2 + 310) * 5/10 = 0 + 5/10 = 1/2

fy(1) = f(0,1) + f(1,1) = (0^2 + 301) * 5/10 + (1^2 + 311) * 5/10 = 15/10 + 20/10 = 35/10

Therefore, the correct answer is (c) y=0 fy(y) = 1/2 y=1 fy(y) = 35/10 otherwise.

Correct Question :

Let X and Y be discrete random variables with joint probability function f(x, y) = (x2 + 3xy) 5 10 for (x,y) = (0,0), (0, 1), (1,0), (1,1) otherwise What is the marginal probability function for Y? a. y=1 fy(y) = 0 otherwise b. 50 = { variere 50 = { fy(y) = 3 y=1 otherwise c. y=0 fy(y) = 1/2 y=1 fy(y) = 35/10 otherwise d. y=0 fy(y) = Ey=1 otherwise e. y=0 fy(y) = x2 + 3x y=1 otherwise

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(a) The speed of the plane relative to the ground, is 151.4 km/h.(b) As seen by people on the ground, the angle made between the direction of motion of the plane and north is approximately 31 degrees. (c) The pilot must head the plane at an angle of approximately 149 degrees with respect to north.

(a) To find the speed of the plane relative to the ground, we can use vector addition. The plane's speed with respect to still air is 130 km/h to the north, and the west wind blows at a constant speed of 77.5 km/h to the west. Using the Pythagorean theorem, we can calculate the resultant speed:

Speed of the plane relative to the ground = sqrt((130 km/h)^2 + (77.5 km/h)^2)

= sqrt(16900 km^2/h^2 + 6006.25 km^2/h^2)

= sqrt(22906.25 km^2/h^2)

≈ 151.4 km/h

(b) The angle made between the direction of motion of the plane and north, as seen by people on the ground, can be found using trigonometry:

Angle = arctan(77.5 km/h / 130 km/h)

≈ 31 degrees

(c) To make the plane appear to be moving directly north from the perspective of people on the ground, the pilot must counteract the effect of the wind. This can be achieved by heading the plane in the direction opposite to the wind. The angle with respect to the north can be calculated as:

Angle = 180 degrees - 31 degrees

≈ 149 degrees.

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Answer: 21

Step-by-step explanation:

This means we can substitute x=5 into f(x), so f(5)=6+3(5)=21.

Answer: 170.270

Step-by-step explanation:

Divide 6300 by 37

Answer:

C

Step-by-step explanation:

3x - 9y = 9 → (1)

- 2x +2y = 8 ( subtract 2y from both sides )

- 2x = - 2y + 8 ( divide through by - 2 )

x = y - 4

substitute x = y - 4 into (1)

3(y - 4) - 9y = 9

3y - 12 - 9y = 9

- 6y - 12 = 9 ( add 12 to both sides )

- 6y = 21 ( divide both sides by - 6 )

y = \(\frac{21}{-6}\) = - \(\frac{7}{2}\)

According to the information, the 95% confidence interval for the proportion of Americans who drink tea daily is approximately (0.2485, 0.2766). The margin of error is approximately 0.0140.

To construct a confidence interval for the proportion of Americans who drink tea daily, we can use the formula:

Where,

p = the sample proportion

Z = the critical value corresponding to the desired confidence level

n = the sample size

Given:

Now, let's calculate the confidence interval and margin of error:

According to the information, the 95% confidence interval for the proportion of Americans who drink tea daily is approximately (0.2485, 0.2766), with a margin of error of approximately 0.0140.

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Answer:

\(\frac{5}{8}\)

Step-by-step explanation:

\(\frac{-8-(-3)}{-12-(-4)}\) = \(\frac{-8+3}{-12+4}\) = \(\frac{-5}{-8}\) = \(\frac{5}{8}\)

Helping in the name of Jesus.

Answer:

the scale factor is 4 from figure a to b

Answer:

1/4

Step-by-step explanation:

The top side in figure A measures 4.

The corresponding side in figure B measures 1.

scale factor = 1/4

Answer:

The choice c) 4/9

I hope I helped you^_^

When the amplitude of the oscillator gradually decreases with time, we say it is a damped oscillator. The oscillator's behavior is said to be undamped if the amplitude remains the same over time.

Suppose that both the undamped and damped systems are set in motion with the initial conditions

y(0) = y0 and y′(0) = v0.

The amplitude of the damped response is half that of the amplitude of the undamped response at a time t equal to: t = (1/ωd)ln(A0/A0d), where A0 is the amplitude of the undamped response, A0d is the amplitude of the damped response, and ωd is the damped angular frequency.

What is a damped oscillator?

A damped oscillator is an oscillator that gradually loses energy over time as a result of the energy dissipation mechanism present in the oscillator.

A spring-mass system immersed in a viscous fluid, a pendulum and a guitar string are examples of oscillatory systems. When the amplitude of the oscillator gradually decreases with time, we say it is a damped oscillator. The oscillator's behavior is said to be undamped if the amplitude remains the same over time.

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The answer is 45


------------------------------------------------------------

The probability of eating both poisoned apples if you randomly eat 3 out of the five apples without replacement is 1/10 or 0.1.

To calculate this probability, we use the formula for combinations of n objects taken r at a time, (nCr) which is equal to n!/r!(n-r)!. In this example, n = 5 and r = 3, so the formula reduces to 5!/3!(5-3)! = (5*4*3)/(3*2*1) = 10. This means that there are 10 different combinations of 3 apples, out of the five, that can be chosen. Since only two of the apples are poisoned, the probability of eating both of the poisoned apples is 2/10 or 0.1.

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Answer:

it will go up as all the groups will be removed from lower side reducing it's weights

The fractional part of the volume of the original pyramid that remains in the frustum is 91.65%.

To find the volume of the original pyramid, we can use the formula for the volume of a square pyramid:

          V = (1/3) * B * h

where B is the area of the base and h is the altitude.

The area of the base of the pyramid is:

     32 inches * 32 inches = 1024 square inches, and the altitude is 1 foot = 12 inches, so the volume of the original pyramid is:

     V = (1/3) * 1024 square inches * 12 inches = 4096 cubic inches.

The new pyramid that is cut away from the original pyramid has an altitude of 1/4 of the original pyramid, so the altitude of this pyramid is:

12 inches / 4 = 3 inches.

The volume of this smaller pyramid can be found using the same formula:

          V = (1/3) * 1024 square inches * 3 inches = 341.3333 cubic inches.

The remaining frustum is the original pyramid with the smaller pyramid cut away, so the volume of the frustum is the volume of the original pyramid minus the volume of the smaller pyramid:

V = 4096 cubic inches - 341.3333 cubic inches

   = 3744.6667 cubic inches

To find the fractional part of the volume of the original pyramid, we divide the volume of the frustum by the volume of the original pyramid and multiply by 100%

V(frustum) / V(original)

= 3744.6667 cubic inches / 4096 cubic inches = 0.9165

Therefore, the volume of the remaining frustum is 91.65% fractional part of the volume of the original pyramid.

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Answer:

last option.

Step-by-step explanation:

See attached.

I'm not sure why you crossed out the last option, but it seems to be correct.

Answer:

\( \boxed{\sf \frac{3x - 11}{ {x}^{2} + 2x - 3}} \)

Step-by-step explanation:

\( \sf \implies \frac{5}{x + 3} - \frac{2}{x - 1} \\ \\ \sf Put \: each \: term \: in \: \frac{5}{x + 3} - \frac{2}{x - 1} \: over \: the \: common \\ \sf denominator \:(x + 3)(x - 1) : \\ \sf \implies \frac{5(x - 1)}{(x - 1)(x + 3)} - \frac{2(x + 3)}{(x - 1)(x + 3)} \\ \\ \sf \frac{5(x - 1)}{(x - 1)(x + 3)} - \frac{2(x + 3)}{(x - 1)(x + 3)} = \frac{5(x - 1) - 2(x + 3)}{(x - 1)(x + 3)} : \\ \sf \implies \frac{5(x - 1) - 2(x + 3)}{(x - 1)(x + 3)} \\ \\ \sf 5(x - 1) = 5x - 5 : \\ \sf \implies \frac{ \boxed{ \sf 5x - 5} - 2(x + 3)}{(x - 1)(x + 3)} \\ \\ \sf - 2(x + 3) = - 2x - 6 : \\ \sf \implies \frac{5x - 5 + \boxed{ \sf - 2x - 6}}{(x - 1)(x + 3)} \\ \\ \sf Grouping \: like \: terms, \: 5x - 5 - 2x - 6 = \\ \sf (5x - 2x) + ( - 5 - 6) : \\ \sf \implies \frac{ \boxed{ \sf (5x - 2x) + ( - 5 - 6)}}{(x - 1)(x + 3)} \\ \\ \sf 5x - 2x = 3x : \\ \sf \implies \frac{ \boxed{ \sf 3x} + ( - 5 - 6)}{(x - 1)(x + 3)} \\ \\ \sf - 5 - 6 = - 11 : \\ \sf \implies \frac{3x + \boxed{ - 11}}{(x - 1)(x + 3)} \)

\(\sf (x - 1)(x + 3) = x(x + 3) - 1(x + 3) : \\ \sf \implies \frac{3x - 11}{ \boxed{ \sf x(x + 3) - 1(x + 3)}} \\ \\ \sf x(x + 3) = {x}^{2} + 3x : \\ \sf \implies \frac{3x - 11}{ \boxed{ \sf {x}^{2} + 3x} - 1(x + 3)} \\ \\ \sf - 1(x + 3) = - x - 3 \\ \sf \implies \frac{3x - 11}{ {x}^{2} + 3x + \boxed{ \sf - x - 3} } \\ \\ \sf 3x - x = 2x : \\ \sf \implies \frac{3x - 11}{ {x}^{2} + 2x - 3} \)

Given the quadrilateral:

The sum of the internal angles of a quadrilateral is 360°:

Finally, the measures of the two angles are:

Answer:

6 miles per hour

Step-by-step explanation:

1 mile is 1760 yards (5280 feet);

10560/1760=6

so we know that Kelly rowed 6 miles per hour!

Answer:

the answer is r (‑1)/​(6*​x)-​2.1

Step-by-step explanation:

Answer:

Graph the line using the slope and y-intercept, or two points.

The probability of the ball landing on a red slot on the next spin is still 18/38 or approximately 0.4737 or 47.37%.

The probability of the ball landing on a red slot on a single spin of a standard roulette wheel is 18/38 or approximately 0.4737 or 47.37%. This is because there are 18 red slots out of a total of 38 slots on the wheel.

The outcome of the previous 210 spins has no effect on the probability of the ball landing on a red slot on the next spin. Each spin is an independent event, and the probability of the ball landing on a red slot remains the same for each spin.

Therefore, even though the ball has landed on a red slot for the past 210 spins, the probability of it landing on a red slot on the next spin is still 18/38 or approximately 0.4737 or 47.37%.

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Answer:

Katherine will rent at least 64 movies and 20 games to make a profit

Step-by-step explanation:

The given parameters are;

The amount for which she rents games = 4

The amount for which she rents movies = 4

The number of games and movies she most rent to make profit = 84

The number of games she ≤ 20

Let x represent the number of games, let y represents the number movies, we have;

x + y ≥ 84

x ≤ 20

64 ≤ y ≤ 84

The graph of the inequality created with Microsoft Excel showing the feasible region is included

Answer:

Rhonda is 22 years old and would like to invest $2,000 into a U.S. Treasury Note earning 7.5'0 interest. How many times will Rhonda's investment double before she withdraws it at age 70? 72 I 7.5 = 9.6 (Money will double in 9.6 years) 70 - 22 = 48 years 48 I 9.6 = 5 times (her money will double 5 times until she is 70.

Step-by-step explanation:

To find the volume of the solid obtained by rotating the region under the curve over the interval [4, 7] about the x-axis, we can use the method of cylindrical shells.

The formula for the volume of a solid generated by rotating a curve f(x) about the x-axis, over an interval [a, b], is given by:

V = ∫[a, b] 2πx * f(x) * dx

In this case, the interval is [4, 7], so we need to evaluate the integral:

V = ∫[4, 7] 2πx * f(x) * dx

To find the function f(x), we need the equation of the curve. Unfortunately, you haven't provided the equation of the curve. If you can provide the equation of the curve, I will be able to help you further by calculating the integral and finding the volume.

Please provide the equation of the curve so that I can assist you in finding the volume of the solid.

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