In a flower display, there are spaces for 3 plants. If there are 9 plant options, how many different ways can the plants be arranged? Hint: Are repeats allowed?

The option that is an example of a linear function in two variables is b. 3.1y - 6 = 7x

Linear functions have a straight line as their graph. The following is the form of a linear function. y = f(x) + a+bx There is one independent variable and one dependent variable in a linear function.

A straight line on the coordinate plane is represented by a linear function. For example, y = 3x - 2 denotes a straight line on a coordinate system.

Linear equations are classified into three types: point-slope, standard, and slope-intercept.

In this case, we can see that the variables are x and y. Therefore, the correct option is B.

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The Chain Rule to find dz/ds and Oz/ot is

\(Oz/ot = dz/dt = -2s^2 cos(t) sin(t) = -2s^2 cos(t) * (y/x) = -2s^2 y sin(t) / x\)

Thus, \(Oz/ot = -2s^2 y sin(t) / x.\)

The chain rule is a rule in calculus that describes how to find the derivative of a composite function. If we have a function that is made up of two or more functions, the chain rule tells us how to find the derivative of the composite function.

To find dz/ds, we need to apply the Chain Rule, which states that if z is a function of u and u is a function of s, then:

dz/ds = dz/du * du/ds

In this case, we have:

\(z = x^2 * y^0 = x^2 = (s cos(t))^2 = s^2 cos^2(t)\)

x = s cos(t)

y = s sin(t)

So, we can rewrite z as:

\(z = s^2 cos^2(t)\)

Now, let's find du/ds and dz/du:

du/ds = d/ds (s cos(t)) = cos(t)

\(dz/du = d/ds (s^2 cos^2(t)) = 2s cos^2(t)\)

Using the Chain Rule formula, we can now find dz/ds:

\(dz/ds = dz/du * du/ds = 2s cos^2(t) * cos(t) = 2s cos^3(t)\)

Therefore,\(dz/ds = 2s cos^3(t).\)

To find Oz/ot, we need to find dz/dt using the Chain Rule, and then substitute for z in terms of x and y:

dz/dt = dz/dx * dx/dt + dz/dy * dy/dt

\(dz/dx = 2xy^0 = 2x = 2s cos(t)\)

\(dz/dy = x^2 * 0y^-1 = 0\)

dx/dt = -s sin(t)

dy/dt = s cos(t)

Substituting these values in the Chain Rule formula, we get:

dz/dt = 2s cos(t) * (-s sin(t)) + 0 * (s cos(t)) = -2s^2 cos(t) sin(t)

Now, we can substitute for z in terms of x and y:

\(z = x^2 * y^0 = x^2 = (s cos(t))^2 = s^2 cos^2(t)\)

Therefore, we have:

\(Oz/ot = dz/dt = -2s^2 cos(t) sin(t) = -2s^2 cos(t) * (y/x) = -2s^2 y sin(t) / x\)

Thus, Oz/ot = -2s^2 y sin(t) / x.

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400 kilometers is equal to 248.548 miles.

The formula for converting kilometers to miles is km × 0.62137 = mi. To calculate 400 km to miles, we can multiply 400 by 0.62137. That gives us 248.548 miles.

To convert kilometers to miles we need to multiply the number of kilometers by 0.62137, which is the conversion rate from kilometers to miles. This is because there are 0.62137 miles in one kilometer. The kilometer is a unit of length in the metric system and is equal to 1000 meters. Miles are a unit of length in the imperial system and are equal to 1.609344 kilometers.

For example, if we wanted to convert 400 kilometers to miles, we would first multiply 400 by 0.62137. This gives us 248.548 miles. We can also use this formula to convert any number of kilometers to miles.

To summarize, 400 kilometers is equal to 248.548 miles. This is because there are 0.62137 miles in one kilometer, so to convert kilometers to miles we need to multiply the number of kilometers by 0.62137.

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The rate of increase of the number of bacteria is 1200/2 = 600 bacteria/hour.

To find the rate of increase of the number of bacteria in a culture, we can use the formula

rate of change = change in number of bacteria/time elapsed.

In this case, the change in number of bacteria is 1800-600 = 1200, and the time elapsed is 2 hours.

Thus, the rate of increase of the number of bacteria is 1200/2 = 600 bacteria/hour.

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Answer:

x= -45

Step-by-step explanation:

Answer:

C \(\sqrt{5}\)

Step-by-step explanation:

Use pythagorean theorem.

\(x^{2}\) +\(\sqrt{7} ^{2}\) = (2\(\sqrt{3}) ^{2}\)    

\(x^{2}\) + 7 = 12   Subtract 7 from both sides

\(x^{2}\) = 5           Take the square root of both sides to solve

x = \(\sqrt{5}\)

Answer:

B

Step-by-step explanation:

heptagon has 7 sides and 7 angles

Answer:

y = 3/2x

Step-by-step explanation:

it seems what they are asking for here is our slope.

To find this, we must figure out the change in  y over the change in x.

This can be viewed as:

Δy/Δx = slope

In this case, we can see that the line crosses at (4,6), and at (0,0)

Since our y changes by 6, and our x changes by 4, our slope is:

6/4 = slope

Or:

3/2 = slope

So your answer is 3/2x.

Hope this helps!

Answer:

$36,633

Step-by-step explanation:

Annual base salary = $23,000

Retirement contribution = 10.5% of $23,000 = 0.105 * 23,000 = $2,415

Disability insurance = $258

Medical insurance = $4,750

Year-end bonus = 27% of $23,000 = 0.27 * 23,000 = $6,210

So, annual value = $36,633

Terms = 9*6 is a term

            then, 23*3 isa term

then, 14x is also a term

Step-by-step explanation:

complementary angle = 90 - angle

= 90- 48= 42 °

hope this will be helpful to you .

plz mark my answer as brainlist if you find it useful.

We need a sample size of n = 23 to achieve a beta-error of 0.1 when mu = 150 at a significance level of α = 0.01.

Statistics and probability theory frequently employ the normal distribution to model a variety of natural phenomena, such as a population's height, weight, or test score distribution.

We can use a one-sample t-test. The test statistic is given by:

t = (x - mu) / (sigma / √n)

For this problem, x = 154.2, mu = 155, sigma = 1.5, and n = 10.

t = (154.2 - 155) / (1.5/√10) = -1.82574

The degrees of freedom for the t-test are df = n - 1 = 9.

Using a t-distribution table or a statistical software, we can find the p-value for this test as:

p-value = P(T < t) = 0.0493

The probability of Type 2 error, denoted by β.

β = P(T > 2.8214 | mu = 150)

= 1 - P(T < 2.8214 | mu = 150)

= 1 - 0.9938

= 0.0062

Therefore, the beta-error is 0.0062 when the true mean melting point is mu = 150.

To find the sample size n required to achieve a beta-error of 0.1 when mu = 150, we can use the following formula:

n = [(z_alpha + z_beta)² × sigma²] / (mu₀ - mu)²

put all values, we get:

n = [(2.3263 + 1.2816)² × 1.5²] / (155 - 150)²

= 22.695

Rounding up to the nearest integer, we need a sample size of n = 23 to achieve a beta-error of 0.1 when mu = 150 at a significance level of α = 0.01.

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The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

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According to the Pythagorean Theorem, for a Right triangle:

Where "a" is the hypotenuse and "b" and "c" are the legs of the Right triangle.

Let's check the side lengths given in each option:

A) The hypotenuse would be:

So, if you apply the Pythagorean Theorem, you get:

These side lenghts do not form a Right triangle.

B) Since all the sides of this triangle have equal length, it is not a Right triangle, but an Equilateral triangle.

C) The hypotenuse of this triangle would be:

Then, applying the Pythagorean Theorem, you get:

These side lenghts form a Right triangle.

The answer is: Option C

Answer: 140

Step-by-step explanation:

Answer: 50

Step-by-step explanation:

Khan academy answer

9514 1404 393

Answer:

  a.  3/8 lb of cashews

Step-by-step explanation:

The amount that needs to be added is the difference between the amount of mix wanted and the amount of mix provided by the given quantities of nuts.

  3/4 lb - (1/8 lb +1/4 lb) = (3/4 -1/4 -1/8) lb = (2/4 -1/8) lb = (4/8 -1/8) lb

  = 3/8 lb . . . . amount of cashews needed

Answer:

4,550

Step-by-step explanation: 7 x 650 is 4,550

The number of ways to make a string of length 5 with x to the left of y and all distinct letters is 1*4*4*3*4 = 192.

a) If the string must contain the letter x, then we can fix x in any of the 5 positions in the string. The remaining 4 positions can be filled with any of the remaining 5 letters. Therefore, the number of ways to make a string of length 5 with x is 5*5*5*5*1 = 625.

b) If the string must contain the letters x and y and all of the letters must be distinct, then we can fix x and y in any of the 5 positions in the string. The remaining 3 positions can be filled with any of the remaining 4 letters. Therefore, the number of ways to make a string of length 5 with x, y and all distinct letters is 5*4*3*4*3 = 720.

c) If the string must contain the letters x and y, x and y have to be consecutive (in either order), and all of the letters in the string must be distinct, then we can fix x and y in any of the 4 consecutive pairs of positions in the string. The remaining 3 positions can be filled with any of the remaining 4 letters. Therefore, the number of ways to make a string of length 5 with x, y consecutive and all distinct letters is 4*4*3*4*3 = 576.

d) If the string must contain the letters x and y, x must appear to the left of y, and all of the letters are distinct, then we can fix x in the leftmost position and y in any of the 4 remaining positions. The remaining 3 positions can be filled with any of the remaining 4 letters.

Therefore, the number of ways to make a string of length 5 with x to the left of y and all distinct letters is 1*4*4*3*4 = 192.

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To prove that two functions are inverses of each other, it is necessary to show that both of the conditions f(g(x)) = x and g(f(x)) = x hold, but this does not necessarily mean that the two functions are equal.

We have,

This statement is not entirely correct.

To prove that two functions are inverses of each other, it is indeed necessary to show that both of the following conditions hold:

f(g(x)) = x for all x in the domain of g

g(f(x)) = x for all x in the domain of f

Now,

This does not necessarily mean that the two functions are equal to each other.

For example,

Consider the functions f(x) = x + 1 and g(x) = x - 1.

It can be shown that f(g(x)) = x and g(f(x)) = x for all values of x, which satisfies the conditions for being inverses of each other.

However, it is clear that f(x) and g(x) are not the same functions.

Thus,

To prove that two functions are inverses of each other, it is necessary to show that both of the conditions f(g(x)) = x and g(f(x)) = x hold, but this does not necessarily mean that the two functions are equal.

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Answer:

bisecting an angle

Step-by-step explanation:

I got it wrong on the "Geometric Constructions Quiz." lol but here you go.

Answer:

bisecting an angle

Step-by-step explanation:

Answer:

10% dicount

Step-by-step explanation:

76.50 / 85.00 = .9

The airplane cost 90% of its original value, meaning you have a 10% discount

10% of 85 =  .1 x 85 = 8.50

85.00 - 8.50 = 76.50

Answer:

a. x > -1

b. x >= -2

c. x <= 3

d. x <= 0

Step-by-step explanation:

Answer:

yep i am very tireddddfdf

Answer:

YEAAA I'm like super tired for no reason, even though I really didn't do anything today :/

Answer:

1/2

Step-by-step explanation:

When you roll a 6-sided die, there are 6 possible outcomes:

1, 2, 3, 4, 5, 6

3 of the outcomes are even, and 3 of the outcomes are odd.

p(A) = p(even) = 3/6 = 1/2

p(Ac) = 1 - p(A) = 1 - 1/2 = 1/2

Answer:

$10.28

Step-by-step explanation:

Answer: Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.?

Step-by-step explanation:

Answer:

8.275

Step-by-step explanation:

find difference of 8.28 and 8.27 (which is .01), then divide by 2; .01/2 = .005

either add .005 to the lesser number of subtract .005 from the larger

Answer:

It is 8.275

Step-by-step explanation:

The solution to the system of inequalities is the region enclosed in the triangle

An equation is an expression that shows the relationship between numbers and variables using mathematical operators such as addition, subtraction, exponent, multiplication and division.

Let x denote the time (in hours) that Shen spends doing cardiovascular work. Let y denote the time (in hours) he spends on weight training.

Each week, he exercises for at least 12 hours, hence:

x + y ≥ 12   (1)

He spends at most 9 hours on weight training. Therefore:

x ≤ 6      (3)

He spends at most 6 hours doing cardiovascular work. Hence:

y ≤ 9    (3)

The solution to the system of inequalities is the darker region shown in the graph.

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Answer:

-2,2

Step-by-step explanation: