HELP ASAP PLZZZZ WRITE A FUNCTION THAT HAD A GREATER RATE OF CHANGE THAN ONE FUNCTION BUT A SMALLER RATE OF CHANGE THAT THE OTHER FUNCTION

Answer:

The next 2 numbers would be 30 and 42

Step-by-step explanation:

If the last number in the sequence was 20, and the sequence started at 0 with a constant change, we know that since this constant change is +2 every time the input increases. If 12 + 8 was 20, the next number would be 30. If 20 + 10 is 30, then the next output will be 42, because 30 + 12 = 42.

Hope this helps!

The probability that the first grape candy chosen from the bag will be, at least, the third candy chosen overall is 0.5608.

To solve this problem, we need to use the probability formula:
P(at least third grape candy) = P(first candy is not grape) x P(second candy is not grape) x P(third candy is grape) + P(first candy is not grape) x P(second candy is grape) x P(third candy is grape) + P(first candy is grape) x P(second candy is not grape) x P(third candy is grape) + P(first candy is grape) x P(second candy is grape) x P(third candy is grape)

From the given information, we know that the probability of choosing a grape candy from the bag is 26%. Therefore, the probability of choosing a non-grape candy is 74%.

Using this information, we can substitute the values into the formula:

P(at least third grape candy) = 0.74 x 0.74 x 0.26 + 0.74 x 0.26 x 0.26 + 0.26 x 0.74 x 0.26 + 0.26 x 0.26 x 0.26

Simplifying this expression, we get:

P(at least third grape candy) = 0.4524 + 0.0508 + 0.0508 + 0.0068

P(at least third grape candy) = 0.5608

Therefore, the probability that the first grape candy chosen from the bag will be, at least, the third candy chosen overall is 0.5608.

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For a continuous random variable x, the probability of x taking on a specific value a is zero. This is due to the infinite number of possible values that x can take on within its range.

In the case of a continuous random variable, the probability density function (PDF) describes the likelihood of x taking on different values. Unlike discrete random variables, which can only take on specific values with non-zero probabilities, a continuous random variable can take on an infinite number of values within a given range. Therefore, the probability of x being equal to any specific value, such as a, is infinitesimally small, or mathematically speaking, it is equal to zero.

To understand this concept, consider a simple example of a continuous random variable like the height of individuals in a population. The height can take on any value within a certain range, such as between 150 cm and 200 cm. The probability of an individual having exactly a height of, say, 175 cm is extremely low, as there are infinitely many possible heights between 150 cm and 200 cm.

Instead, the probability is associated with ranges or intervals of values. For example, the probability of an individual's height being between 170 cm and 180 cm might be nonzero and can be calculated using integration over that interval. However, the probability of having an exact height of 175 cm, as a single point on the continuous scale, is zero.

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Answer:

x = 9

Step-by-step explanation:

divide both sides of the equation by 4 to isolate the x variable according to algerba. Hope it helps!

Answer:

=9

Step-by-step explanation:

9 times 4 is 36

Answer:

QP = 2

QR = 2√3

Step-by-step explanation:

This is a special right triangle with angle measures as follows:

30° - 60° - 90°

And side lengths represented with:

x - x√3 - 2x respectively to angle measures.

The side length that sees angle measure 90, hypotenuse, is given as 4 so the legs would be:

2 and 2√3

When population grows exponentially with a proportionality constant, k , this population will take 4.620 time to double.

If the population is growing exponentially, the rate of population change is directly proportional to its current size. So assume that the total population at some point in time t is y.

Next, write the differential equation subject to the condition that it increases in proportion to its magnitude. We can get rid of the proportional sign by introducing a constant of proportionality. We then isolate and integrate the variables of the differential equation thus formed and use the initial values to find the value of the constant of proportionality. We have , a population grows exponentially.

The proportionality constant, k = 15% = 0.15

The exponential growth function is y = y₀ eᵏᵗ

where y₀ --> initial population or at t = 0

k --> proportionality constant

t --> time

y --> is value of y at any t

let there be population y₀ at t = 0 . Then, we have to calculate how much time take the population to double.

2 yo = yo e⁰·¹⁵ᵗ

=> 2 = e⁰·¹⁵ᵗ

Introducing natural logarithms on both sides of above equation,

=> ln (2) = ln ( e⁰·¹⁵ᵗ )

=> ln (2) = 0.15t ( since ln e = 1)

=> t = ln(2)/1.5 = 4.620

Hence, required time is 4.620.

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Conclusion for the sample of n sludge specimens is selected and the pH of each one is determined.

A) Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0.

B) Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0.

C) Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0.

D) Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0.

E) Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0.

The null hypothesis in inferential statistics is that two possibilities are equal. The underlying assumption is that the observed difference is just the result of chance. It is possible to estimate the probability that the null hypothesis is correct using statistical tests.

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The value of the line integral ∫(C) x²yz ds over the given line segment is 9√(35)/4.

To evaluate the given line integral, we need to parameterize the line segment from (0, 1, 1) to (3, 0, 6) and then integrate the function over that parameterization.

Let's parameterize the line segment using a parameter t that ranges from 0 to 1:

x = 3t

y = 1 - t

z = 1 + 5t

Now, we can express the line integral as follows:

∫(C) x²yz ds = ∫(C) (3t)² (1 - t) (1 + 5t) ds

To evaluate this integral, we need to express ds in terms of dt. We can use the arc length formula:

ds = √((dx/dt)² + (dy/dt)² + (dz/dt)²) dt

Plugging in the parameterizations, we have:

dx/dt = 3

dy/dt = -1

dz/dt = 5

ds = √((3)² + (-1)² + (5)²) dt

= √(9 + 1 + 25) dt

= √(35) dt

Now, we can rewrite the integral:

∫(C) x²yz ds = ∫(0 to 1) (3t)² (1 - t) (1 + 5t) √(35) dt

Simplifying the integrand:

∫(C) x²yz ds = ∫(0 to 1) 9t² (1 - t) (1 + 5t) √(35) dt

= 9√(35) ∫(0 to 1) (t² - t³ + 5t³ - 5t⁴) dt

= 9√(35) ∫(0 to 1) (6t³ - 5t⁴ - t³) dt

= 9√(35) ∫(0 to 1) (5t³ - 5t⁴) dt

Integrating each term:

= 9√(35) [5 * (t⁴ / 4) - 5 * (t⁵ / 5)] evaluated from 0 to 1

= 9√(35) [5/4 - 5/5]

= 9√(35) [25/20 - 20/20]

= 9√(35) (5/20)

= 9√(35) (1/4)

= 9√(35)/4

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A. The mean age of the team rounded to 1 decimal place is 20.9 years

B. The age of the new player is 23.1 years

The mean age of the team can be obtained as illustrated below:

Mean age = ∑fx / ∑f

Mean age = [(19 × 2) + (20 × 3) + (21 × 1) + (22 × 4) + (23 × 1)] / (2 + 3 + 1 + 4 + 1)

Mean age = 230 / 11

Mean age = 20.9 years

Thus, the mean age of the team is 20.9 years

The age of the new player can be obtained as follow:

New mean = (mean of previous + age of new player) / 2

22 = (20.9 + age of new player) / 2

Cross multiply

22 × 2 = 20.9 + age of new player

44 = 20.9 + age of new player

Collect like terms

44 - 20.9 = Age of new player

Age of new player = 23.1 years

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Complete question:

Pleas attached photo

Answer:

Volume of Cylinder =

\(\pi {r}^{2} h\)

So :

Step-by-step explanation:

\(volume = 3.14 \times ( {8}^{2} ) \times 20 = 3.14 \times 64 \times 20 = 4019.2\)

Answer:

Volume = 4021.24 cm ^3

Step-by-step explanation:

V = πr2h = π·82·20 = 4021.2386 cm ^3

Answer: The size of angle x in a regular pentagon is 72 degrees.

To find the size of angle x in a regular pentagon, you need to divide the total number of degrees in a full circle (360) by the number of sides in a pentagon (5).

A full circle has 360 degrees, so each interior angle of a regular pentagon must measure 360/5 = 72 degrees.

Therefore, he size of angle x in a regular pentagon is 72 degrees.

Answer:

Negative 55 is a rational number.

Step-by-step explanation:

This number can be expressed as a fraction where a & b are integers. By a & b i mean (a/b). B isn't equal to 0.

\((1-3i)(1-i)(1+i)(1+3i)=\\(1^2-(3i)^2)(1^2-i^2)=\\(1+9)(1+1)=\\10\cdot2=20\)

Answer:

\(\huge\boxed{(1-3i)(1-i)(1+i)(1+3i)=20}\)

Step-by-step explanation:

\((1-3i)(1-i)(1+i)(1+3i)\\\\\text{use the commutative property}\\\\=(1-3i)(1+3i)(1-i)(1+i)\\\\\text{use the associative property}\\\\=\bigg[(1-3i)(1+3i)\bigg]\bigg[(1-i)(1+i)\bigg]\\\\\text{use}\ (a-b)(a+b)=a^2-b^2\\\\=\bigg[1^2-(3i)^2\bigg]\bigg[1^2-i^2\bigg]\\\\=\bigg(1-9i^2\bigg)\bigg(1-i^2\bigg)\\\\\text{use}\ i=\sqrt{-1}\to i^2=-1\\\\=\bigg(1-9(-1)\bigg)\bigg(1-(-1)\bigg)\\\\=\bigg(1+9\bigg)\bigg(1+1\bigg)\\\\=(10)(2)\\\\=20\)

Answer:

0.9452

Step-by-step explanation:

Answer for Khan academy

The proportion of bicycle prices that are lower than the price of the sports bicycle is approximately 94.52%.

A Z-score is defined as the fractional representation of data point to the mean using standard deviations.

We can start by standardizing the sports bicycle price using the formula:

z = (x - μ) / σ

where x is the sports bicycle price, μ is the mean, and σ is the standard deviation.

Substituting the values, we get:

z = (380 - 300) / 50 = 1.6

Now, we can use a standard normal distribution table or calculator to find the proportion of values below 1.6.

From the z-table, we find that this proportion is approximately 0.9452.

Therefore, the proportion of bicycle prices that are lower than the price of the sports bicycle is approximately 94.52%.

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If a bank receives a new deposit of $15,000, the bank can lend out $13,785.

The required reserve ratio is the fraction of deposits that banks must hold as reserves. If the current required reserve ratio is 8.1% and a bank receives a new deposit of $15,000, they can lend out $13,785.

The bank can lend out the amount equal to the deposit minus the required reserve amount. In this case, the new deposit is $15,000 and the required reserve ratio is 8.1%, so the calculation is as follows:

Required reserve amount = Deposit × Required reserve ratio

Required reserve amount = $15,000 × 0.081

Required reserve amount = $1,215

The bank must hold $1,215 as required reserves and can lend out the remaining amount:Amount available for lending = Deposit − Required reserve amount

Amount available for lending = $15,000 − $1,215

Amount available for lending = $13,785

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Answer:

70

Step-by-step explanation:

We have 7 blue marbles, and 20 total marbles. As a result, if we randomly chose one marble from the bag, the probability would be (number of favorable outcomes)/(number of total outcomes) = 7/20.

This means that for each 20 trials, we would expect to pull out a blue marble 7 times, as the probability does not change over time (because we put the marbles back, there are the same amount of each marble). Over 200 trials, we can simply make it out of 200 instead of 20. We can thus multiply 7/20 by 10/10 (10/10 is equal to 1, keeping the proportions equal) to get 70/200, so we can expect 70 blue marbles out of 200.

Answer: y intercept is -1

Step-by-step explanation:

The line intercepts at -1

The total number of ways to buy 10 pieces of fruit so that you buy at most 2 pieces with inedible cores is 137.

To determine the number of ways to buy 10 pieces of fruit so that you buy at most 2 pieces with inedible cores, we can use a combination of counting techniques.

First, we can consider the total number of ways to buy 10 pieces of fruit without any restrictions. This can be represented by the number of solutions to the equation:

x1 + x2 + x3 + x4 = 10

where x1 represents the number of bananas, x2 represents the number of apples, x3 represents the number of pears, and x4 represents the number of strawberries. Using the stars and bars method, we can find that there are C(13,3) = 286 ways to do this.

Next, we need to subtract the number of ways to buy 10 pieces of fruit where we buy 3 or more pieces with inedible cores.

We can do this by considering the number of ways to buy 3, 4, or 5 apples and pears, and then finding the number of ways to distribute the remaining pieces of fruit. Using the same method as before, we can find that there are C(12,2) + C(11,2) + C(10,2) = 221 ways to do this.

Finally, we can subtract the number of ways to buy 10 pieces of fruit where we buy 3 or more pieces with inedible cores twice, since we double-counted these cases in the previous step. Using the inclusion-exclusion principle, we can find that there are 2 * C(9,2) = 72 ways to do this.

Therefore, the total number of ways to buy 10 pieces of fruit so that you buy at most 2 pieces with inedible cores is 286 - 221 + 72 = 137.

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The approximate size of the cover that Maria will need to buy is 45. 84 square feet

The formula for calculating the circumference of a circle is expressed as;

Circumference = πr²

Where 'r' is the radius of the circle

Now, let's substitute the value of the circumference

24 = 2 × 3. 14 × r

r = 24/6. 28

r = 3. 82 feet

Formula for area = πr²

Substitute value of r

Area = 3. 14 × (3. 82)²

Area = 3. 14 × 14. 59

Area = 45. 84 square feet

Hence, the value is  45. 84 square feet

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The resulting plot shows the vector w extending from the origin to the point (3, 0), and the vector v extending from the origin to the point (-1, 0).

In the given problem, we are asked to find vectors a, b, and c that make 0°, 90°, and 180° angles with vector w = [3]. To do this, we can choose vectors a = [3], b = [0, 3], and c = [-3]. Vector a is parallel to w, vector b is perpendicular to w, and vector c is antiparallel to w.

Now, let's compute vectors v and w based on the given equations. The equation v + w = [2] implies that the sum of vectors v and w is equal to the vector [2]. Since we know that w = [3], we can subtract [3] from both sides of the equation to find v = [-1]. Similarly, the equation v - w = [2] implies that the difference between vectors v and w is equal to the vector [2]. Substituting the known value of w = [3], we can solve for v, which turns out to be [5].

To visualize these vectors in the xy-plane, we plot the vector w = [3] as a point in the positive x-direction. Then, we plot the vector v = [-1] as a point in the negative x-direction. The resulting plot shows the vector w extending from the origin to the point (3, 0), and the vector v extending from the origin to the point (-1, 0).

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its d i did this before its easy

The statement which describes the graphs of y = −x + 3 and y = −x + 6 is; Choice B: They are parallel.

By comparison with the slope-intercept form of a linear equation;

Where, m = slope and c = y-intercept.

We can conclude that, the slope, m of both equations given is, -1.

And from straight line geometry; We recall that;

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Answer:

56mph

Step-by-step explanation:

Speed = distance/ time

= 224/4

= 56

56mph

Answer:

56mph

Step-by-step explanation:

Answer:

0.73855.

Step-by-step explanation:

log √30

log 30^1/2

= 1/2 log 30

30 = 2 * 3 * 5

= 3 * 10

So, log 30

= log (3*10) = log 3 + log 10

= 0.4771 + 1

= 1.4771

and log √30

= 1/2 log 30

= 1/2 * 1.4771

= 0.73855

Taking a difference, we can see that the trip to city C is 482.6 mi longer.

Here we know that the distance from city a to city b is 256.8 miles, and the distance from city a to city c is 739.4 miles

To find how much farther is the trip to city c than the trip to city b, we just need to take the difference between the two distances above.

That means that we need to take the distance to city c and subtract the distance to city b.

We will get:

739.4 mi -  256.8 mi = 482.6 mi

The trip to city C is 482.6 mi more than the trip to city B.

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The isospin ⊗ spin wavefunctions for the four different spin states of a Δ0 particle, in terms of the wavefunctions of the quarks it is composed of, are:

|3/2, 3/2⟩ = |u↑d↑⟩

|3/2, 1/2⟩ = (√3/2)|u↓d↑⟩ + (√1/2)|u↑d↓⟩

|3/2, -1/2⟩ = (√1/2)|u↓d↑⟩ - (√3/2)|u↑d↓⟩

|3/2, -3/2⟩ = |u↓d↓⟩

The Δ baryons are composed of three quarks: two down (d) quarks and one up (u) quark. The isospin of a particle represents its behavior under rotations in the isospin space, which is related to the behavior of the particle under the strong force. The spin of a particle represents its intrinsic angular momentum.

For the Δ0 particle, which has isospin 3/2, there are four different spin states. Each spin state corresponds to a different combination of up and down quark spin projections along the z axis. The isospin ⊗ spin wavefunctions represent the composite wavefunctions of the quarks that make up the Δ0 particle for each spin state.

In the first spin state, |3/2, 3/2⟩, both the up and down quarks have their spins aligned in the upward direction. In the second spin state, |3/2, 1/2⟩, the up quark has its spin aligned upward while the down quark has its spin aligned downward. The third spin state, |3/2, -1/2⟩, has the up quark with its spin aligned downward and the down quark with its spin aligned upward. Finally, in the fourth spin state, |3/2, -3/2⟩, both the up and down quarks have their spins aligned in the downward direction.

These wavefunctions provide a mathematical description of the different spin states of the Δ0 particle, taking into account the wavefunctions of the constituent quarks. They help us understand the quantum mechanical properties and behavior of the Δ0 baryon in terms of its quark composition.

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The minimum dimensions to minimize the amount of material is 15.87 x 15.87 x 15.87 inch.

We need to know about the minimum function to solve this problem. The minimum function can be defined as the minimum value of the variable. It can be calculated by the derivative of the function. The minimum function can be written as

f'(s) = 0

where f'(s) is the derivative function

From the question above, the given parameter is

V = 4000 inch³

The cubic volume can be written as

s² x h = 4000

where s is the length of the base area and h is the height of the box.

the minimum value of the  box refer to its surface area, hence

f(s) = 4sh + 2s²

f'(s) = 4h + 4s

4h + 4s = 0

h = s

It means that the length of the base area and the height must have the same dimension. The minimum volume should have a cube shape

V = s³

s³ = 4000

s = 15.87 inch

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