you take a flight from miami to orlando with a flight length that follows a uniform distribution between 35 and 49 minutes. what is the expected flight time?

Answer:

This is a net

Step-by-step explanation:

Good Luck!!

The given exponential function represents exponential decay with a percentage rate of decrease of approximately 68.3%.

The given exponential function is y = 130(0.32). To determine whether the change represents growth or decay, we need to examine the base of the exponential function, which is 0.32 in this case.

Since the base (0.32) is between 0 and 1, the function represents exponential decay. Exponential decay means that the values of y decrease over time.

To determine the percentage rate of decrease, we can calculate the difference between the initial value (130) and the final value after one unit of time (which would be 130 times the base):

Final value = 130(0.32) ≈ 41.6

Percentage rate of decrease = (Initial value - Final value) / Initial value * 100

= (130 - 41.6) / 130 * 100

≈ 68.3%

The change represents decay  with a percentage rate of decrease of approximately 68.3%.

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1. The solution to the first differential equation is given by e^2yx - ysin(xy) + y^2 + C = 0, where C is an arbitrary constant.

2. The general solution to the second differential equation is x(3x - y^2) = C, where C is a positive constant.

To solve the first-order differential equations, let's solve them one by one:

1. (e^2y - ycos(xy))dx + (2xe^2y - xcos(xy) + 2y)dy = 0

We notice that the given equation is not in standard form, so let's rearrange it:

(e^2y - ycos(xy))dx + (2xe^2y - xcos(xy))dy + 2ydy = 0

Comparing this with the standard form: P(x, y)dx + Q(x, y)dy = 0, we have:

P(x, y) = e^2y - ycos(xy)

Q(x, y) = 2xe^2y - xcos(xy) + 2y

To check if this equation is exact, we can compute the partial derivatives:

∂P/∂y = 2e^2y - xcos(xy) - sin(xy)

∂Q/∂x = 2e^2y - xcos(xy) - sin(xy)

Since ∂P/∂y = ∂Q/∂x, the equation is exact.

Now, we need to find a function f(x, y) such that ∂f/∂x = P(x, y) and ∂f/∂y = Q(x, y).

Integrating P(x, y) with respect to x, treating y as a constant:

f(x, y) = ∫(e^2y - ycos(xy))dx = e^2yx - y∫cos(xy)dx = e^2yx - ysin(xy) + g(y)

Here, g(y) is an arbitrary function of y since we treated it as a constant while integrating with respect to x.

Now, differentiate f(x, y) with respect to y to find Q(x, y):

∂f/∂y = e^2x - xcos(xy) + g'(y) = Q(x, y)

Comparing the coefficients of Q(x, y), we have:

g'(y) = 2y

Integrating g'(y) with respect to y, we get:

g(y) = y^2 + C

Therefore, f(x, y) = e^2yx - ysin(xy) + y^2 + C.

The general solution to the given differential equation is:

e^2yx - ysin(xy) + y^2 + C = 0, where C is an arbitrary constant.

2. x(yy' - 3) + y^2 = 0

Let's rearrange the equation:

xyy' + y^2 - 3x = 0

To solve this equation, we'll use the substitution u = y^2, which gives du/dx = 2yy'.

Substituting these values in the equation, we have:

x(du/dx) + u - 3x = 0

Now, let's rearrange the equation:

x du/dx = 3x - u

Dividing both sides by x(3x - u), we get:

du/(3x - u) = dx/x

To integrate both sides, we use the substitution v = 3x - u, which gives dv/dx = -du/dx.

Substituting these values, we have:

-dv/v = dx/x

Integrating both sides:

-ln|v| = ln|x| + c₁

Simplifying:

ln|v| = -ln|x| + c₁

ln|x| + ln|v| = c₁

ln

|xv| = c₁

Now, substitute back v = 3x - u:

ln|x(3x - u)| = c₁

Since v = 3x - u and u = y^2, we have:

ln|x(3x - y^2)| = c₁

Taking the exponential of both sides:

x(3x - y^2) = e^(c₁)

x(3x - y^2) = C, where C = e^(c₁) is a positive constant.

This is the general solution to the given differential equation.

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Answer:

Simplifying

(x + -2) * 2 + (y + -4) * 2 = 36

Reorder the terms:

(-2 + x) * 2 + (y + -4) * 2 = 36

Reorder the terms for easier multiplication:

2(-2 + x) + (y + -4) * 2 = 36

(-2 * 2 + x * 2) + (y + -4) * 2 = 36

(-4 + 2x) + (y + -4) * 2 = 36

Reorder the terms:

-4 + 2x + (-4 + y) * 2 = 36

Reorder the terms for easier multiplication:

-4 + 2x + 2(-4 + y) = 36

-4 + 2x + (-4 * 2 + y * 2) = 36

-4 + 2x + (-8 + 2y) = 36

Reorder the terms:

-4 + -8 + 2x + 2y = 36

Combine like terms: -4 + -8 = -12

-12 + 2x + 2y = 36

Solving

-12 + 2x + 2y = 36

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '12' to each side of the equation.

-12 + 2x + 12 + 2y = 36 + 12

Reorder the terms:

-12 + 12 + 2x + 2y = 36 + 12

Combine like terms: -12 + 12 = 0

0 + 2x + 2y = 36 + 12

2x + 2y = 36 + 12

Combine like terms: 36 + 12 = 48

2x + 2y = 48

Add '-2y' to each side of the equation.

2x + 2y + -2y = 48 + -2y

Combine like terms: 2y + -2y = 0

2x + 0 = 48 + -2y

2x = 48 + -2y

Divide each side by '2'.

x = 24 + -1y

Simplifying

x = 24 + -1y

Step-by-step explanation:

Answer:

it should B

Step-by-step explanation:

because in triangle OBC, angle OBC =25 degree, OCB =25degee and angle O is not given so, sum of all the angles will be 50 + angle O = 180 degreeangle O = 180-50angle O =130 degree

correct me if im wrong

give a thanks and brianliest if im right ty

Answer:

Ig this will be the answer

Answer:

12 grams of fibre

Step-by-step explanation:

4 {times} 3

The labor fee is $14.95 and the cost of each quaart of oil is $1.75.

The first step is to form a pair of simultaneous equations that describe the question.

a + 5b = $23.70 equation 1

a + 7b = $27.20 equation 2

Where:

The  simultaneous equations would be solved using the elimination method.

Subtract equation 1 from equation 2

2b = 3.50

Divide both sides of the equation by 2

b = 3.50 / 2

b = $1.75

In order to determine the value of a, substitute for b in equation 1.

a + 5(1.75) = $23.70

a + 8.75 = $23.70

a = $23.70 - $8.75

a = $14.95

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Total amount of ground beef is 7.5 lbs

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

a) The recipe for the meat loaf used by Jenny can serve a total of 8 people.

Total people = 40

Number of each ingredient

= 40 / 8

= 5

b) As, recipe contains 1 1/2 lb (1.5 lbs) of ground beef,

So, Total amount of ground beef = 1.5 lbs * 5 = 7.5 lbs

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Your question is incomplete, probably the complete question/missing part is:

Jenny is throwing a surprise birthday party for her best friend Katie. She has decided to make Katie’s favorite dish, meat loaf. There will be a total of 40 people at the party. Answer the following questions:

• The recipe says it serves 8 people. By what number should Jenny multiply each ingredient to make enough meat loaf for everyone? 5

• The recipe calls for 1 1/2 lbs. of ground beef. How much ground beef will Jenny need to make enough meat loaf for everyone?

Answer:

is the line or line segment that divides the angle into two equal parts

Step-by-step explanation:

the greatest possible product of a four-digit number and a three-digit number obtained from seven distinct digits is 2,463,534.

To find the greatest possible product of a four-digit number and a three-digit number obtained from seven distinct digits, we can start by considering the largest possible values for each digit.

Since we need to use seven distinct digits, let's assume we have the digits 1, 2, 3, 4, 5, 6, and 7 available.

To maximize the product, we want to use the largest digits in the higher place values and the smallest digits in the lower place values.

For the four-digit number, we can arrange the digits in descending order: 7, 6, 5, 4.

For the three-digit number, we can arrange the digits in descending order: 3, 2, 1.

Now, we multiply these two numbers to find the greatest possible product:

7,654 * 321 = 2,463,534

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Answer:

\(6\frac{1}{3} or \frac{19}{3}\)

Step-by-step explanation:

Rewriting our equation with parts separated

=8+1/2−2−1/6

Solving the whole number parts

8−2=6

Solving the fraction parts

1/2−1/6=?

Find the LCD of 1/2 and 1/6 and rewrite to solve with the equivalent fractions.

LCD = 6

3/6−1/6=2/6

Reducing the fraction part, 2/6,

2/6=1/3

Combining the whole and fraction parts

6+1/3=6 1/3

We have to solve the equation:

To solve for an angle of a trig ratio, we take the inverse trig of the "constant" to the other side. That will let us solve for the "angle".

Thus, we can take the inverse sine of 1/7th to get the value of the angle "x".

Shown below:

Answer:

(4, -2)

Step-by-step explanation:

Use the midpoint formula lol

Answer:

x=7

Step-by-step explanation:

x(x-2) (x+4) =385

distribute the x and solve

The value of x is 8 in.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

Length = x + 4

Width = x

Height = x - 2

The volume of the rectangular prism = 385 in³

The volume of the rectangular prism = length x width x height

Now,

length x width x height = 385

(x + 4) x (x - 2) = 385

(x + 4) (x² - 2x) = 385

x³ - 2x² + 4x² - 8x = 385

x³ + 2x² - 8x = 385

This is a cubic polynomial.

f(x) = x³ + 2x² - 8x - 385

f(x) = a³ + bx² + cx + d = 0

Using the calculator we get,

Roots:

x = -3.20181 + 5.96339 i (rejected)

x = -3.20181 - 5.96339 i (rejected)

x = 8.40362 = 8

Thus,

The value of x is 8 in.

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Answer:

Step-by-step explanation:

Given

Solution

Sum

Note. there is no dam unit, considered as dm

Where the above is given,

a. The generating function is G(x, y) = 2x * 8y.

b. There are 8 ways to distribute the ninety shots among the eight players.

a. To construct a generating function for the number of ways the shots can be distributed to   the eight players,we can consider the number of shots taken by each player as a coefficient in the expansion of the generating function.

Let's denote the number of shots taken by each player as follows  -

Player 1  -  x

Player 2  -  x

Player 3  -  y

Player 4  -  y

Player 5  -  y

Player 6  -  y

Player 7  -  y

Player 8  -  y

The generating function can be constructed by multiplying the generating functions for each player -

G(x, y) = (x + x)  (y + y + y + y +y + y + y + y)

Simplifying this expression

G(x, y) = 2x * 8y

b. To determine how many ways the ninety shots can be distributed among the eight players, we need to find the coefficient of the term with x⁰ and y⁹⁰ in the generating function.

In the generating function G(x, y) = 2x * 8y, the term with x⁰ is 8y, and the coefficient of y⁹ in 8y is 8.

Therefore, there are 8 ways to distribute the ninety shots among the eight players while satisfying the given conditions.

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Answer:

a. x = 1.2, b. A = 32.1°

Step-by-step explanation:

1.41²-.75²=x²

a. x = 1.2

sin A = 0.75/1.41

b. A = 32.1°

(a)The variance of X is given by E(X) = 2 , Var(X) = 2

(b) The variance of Y is 1.25

(c) The expected value of W is  -0.5.

(d) The variance of W is 3.25

(e) The covariance of Z and W is zero

a) The expected value (mean) of X is given by E(X) = A, where A is the parameter of the Poisson distribution. In this case, A = 2. So, E(X) = 2.

The variance of X is given by Var(X) = A, where A is also the parameter of the Poisson distribution. So, Var(X) = 2.

b) Y has a binomial distribution with n = 5 trials and p = 0.5 probability of success.

The expected value of Y is given by E(Y) = n × p, where n is the number of trials and p is the probability of success. So, E(Y) = 5 × 0.5

E(Y) = 2.5.

The variance of Y is given by Var(Y) = n × p × (1 - p), where n is the number of trials and p is the probability of success. So,

Var(Y) = 5 × 0.5 × (1 - 0.5)

Var(Y) = 1.25.

c) W = X - Y. The expected value of W, we use the linearity of expectation:

E(W) = E(X - Y) = E(X) - E(Y)

Substituting the values we calculated earlier, we have:

E(W) = 2 - 2.5

E(W) = -0.5.

d) The variance of W, we use the property that the variance of a sum of independent random variables is the sum of their variances:

Var(W) = Var(X - Y) = Var(X) + Var(Y)

Substituting the values we calculated earlier, we have:

Var(W) = 2 + 1.25

Var(W) = 3.25.

e) Z = X - 2Y. To find the covariance of Z and W, we use the property that the covariance of independent random variables is zero:

Cov(Z, W) = Cov(X - 2Y, X - Y)

Since X and Y are independent, the covariance is zero:

Cov(Z, W) = 0.

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Answer:

2(b + 8) - 6n

Step-by-step explanation:

Twice the sum of b and 8 ⇒ 2(b + 8)

Minus ⇒ -

Product of 6 and n ⇒ 6n

Answer:

30-60-90

Step-by-step explanation:

It is still the same no matter how it is rotated or translated.

Answer:

Step-by-step explanation:

In the diagram BC=9. Find ABOUT and AC

Answer:

y=1/3, x=4/9

y=8, 32/3

x=9, y=27/4

y=20, x=80/3

Step-by-step explanation:

Answer:

$7.79/pair

Step-by-step explanation:

31.16/4 = 7.79

The block will cover the distance 12m before it stops.

According to Newton's second law of motion, the acceleration a

of a body of mass m is determined by the net force \(F_n_e_t\) acting on it:

\(F_n_e_t\)  = ma.

The mass of a block, m = 8 kg

The initial speed of the block on rough horizontal surface , u = 6 m/s

The force of friction, F = 12N

We know that, the Newton's 2nd law: \(F_n_e_t\)  = ma.

Therefore, its final velocity is zero, v = 0

Since the only force that is acting on the body along the horizontal direction is the kinetic frictional force

\(F_n_e_t\)  = ma. (\(F_n_e_t\)  is acting in opposite direction to that of object motion)

a = \(\frac{f_n_e_t}{m}\) = \(\frac{-12}{8} = -1.5m/s^2\)

Negative sign shows that it is in the opposite direction to that of initial velocity.

By using the third kinematic equation, we get:

\(v^2=u^2+2as\\\\= > s = \frac{0-6^2}{2(-1.5)}\\ \\s = \frac{36}{3} = 12m\)

Therefore, the block will cover the distance 12m before it stops.

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Answer:

Let's use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

In this case, we are given that one leg (let's call it the shorter leg) is twice the length of the other leg. So, if we let x represent the length of the shorter leg, then the longer leg has a length of 2x.

We are also given that the length of the hypotenuse is √45 centimeters. We can simplify this by noticing that √45 = √(9 × 5) = √9 × √5 = 3√5. So the length of the hypotenuse is 3√5 centimeters.

Now we can write the Pythagorean Theorem equation:

x^2 + (2x)^2 = (3√5)^2

Simplifying, we get:

x^2 + 4x^2 = 45

5x^2 = 45

x^2 = 9

x = 3

So the shorter leg has a length of 3 centimeters, and the longer leg has a length of 2x = 2(3) = 6 centimeters.

\({ \blue{ \tt{ { \tan }^{ - 1} y - { \tan}^{ - 1} x = c}}}\)

Step-by-step explanation:

This can be written as,

\({ \red{ \tt{ \frac{dy}{ {1 + y}^{2} } = \frac{dx}{1 + {x}^{2} }}}}\)

Integrate on both sides

\({ \red{ \tt{∫ \frac{ 1}{1 + {y}^{2}}}}}{ \red{ \tt{dy}}} \: = { \red{ \tt{∫ \frac{1}{1 + {x}^{2} }}}}{ \red{ \tt{dx}}}  \)

\({ \red{ \tt{ { \tan}^{ - 1} y = { \tan }^{ - 1} x + c}}}\)

\({ \red{ \tt{ { \tan }^{ - 1}y - { \tan }^{ - 1}x = c}}}\)