in a one-way anova a. an interaction term is present. b. the interaction term has (c - 1)(n - 1) degrees of freedom. c. an interaction effect can be tested. d. there is no interaction term.

Answer: 2*10^3 + 7*10^2 + 9*10^1 + 6*10^0

Step-by-step explanation:

Powers of 10: Thousands would be 10^3, hundreds 10^2, and so on...

So 2,796 would be:

2*10^3 + 7*10^2 + 9*10^1 + 6*10^0

= 2000 + 700 + 90 + 6

= 2,796

Answer:

3n³ + 2n + 3

Step-by-step explanation:

(3+6n³ + 3n) - (3n+3n³-2n¹)

3 + 6n³ + 3n - 3n - 3n³ + 2n

3n³ + 2n + 3

A 4.2 earthquake's energy release is 10 times more than a 3.2 earthquake's energy release despite the 3.2 earthquake's amplitude being 10 times smaller.

Now, A 3.2- to 6.5-magnitude earthquake has a substantial difference in intensity.

In actuality, a 6.5 earthquake has a magnitude almost 1000 times greater than a 3.2 earthquake.

The Richter scale, which uses a logarithmic scale to assess earthquake intensity, is the reason behind this.

Since, the Richter scale uses a seismograph to estimate the amplitude of earthquake waves, it is a logarithmic equation.

Each unit increase on the Richter scale causes an exponential increase in the energy released by the earthquake, which is proportional to the amplitude of the earthquake waves.

For instance, a 4.2 earthquake's energy release is 10 times more than a 3.2 earthquake's energy release despite the 3.2 earthquake's amplitude being 10 times smaller.

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Answer:

f(n) = -7+3n

Step-by-step explanation:

I plugged the values into the equation and they work.

f(n) = -7 + 3(10) = 27

f(n) = -7 + 3(12) = 26

f(n) = -7 + 3(16)= 32

Answer:

Explained below.

Step-by-step explanation:

Construct the frequency distribution from the percentage distribution as follows:

Favorite Type of Pie         Percentage           Frequency

         Peach                            25%               25% of 60 = 15

         Apple                             31%                31% of 60 = 18.6

         Other                             20%               20% of 60 = 12

        Cherry                            24%                24% of 60 = 14.4

        TOTAL                           100%                       60

It is provided that the company expects to sell 65 cherry pies in March.

The total number of people buying pies is:

\(\#\text{People buying Cherry pies}=\#\text{People buying pies}\times 0.24\\\\\#\text{People buying pies}=\frac{65}{0.24}\\\\\#\text{People buying pies}=270.833\)

Now compute the number of peach pies should the company expect to sell in March as follows:

\(\#\text{Peach pies expected to be sold}=270.833\times 0.25 =67.7\approx 68\)

Rachel should perform better because of the spacing effect.

Given,

Rachel will study one hour each day for 5 days and Jennifer will study 5 hours the day before the exam.

What do you predict about their scores?  

Rachel should perform better because of the spacing effect.

The spacing effect demonstrates that learning is more effective when study sessions are spaced out. This effect shows that more information is encoded into long-term memory by spaced study sessions, also known as spaced repetition or spaced presentation, than by massed presentation.

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1. Series:

\(\[\sum_{n=1}^{\infty} \frac{n}{{n^2 + 3}}\]\)

To determine the convergence or divergence of this series, we can use the comparison test or the limit comparison test.

Using the comparison test:

We compare the given series with a known series that we know to be convergent or divergent. Let's consider the series  \(\(\sum_{n=1}^{\infty} \frac{1}{n}\).\)

As \(\(n\)\) approaches infinity, the term  \(\(\frac{n}{{n^2 + 3}}\)\)  is always less than or equal to  \(\(\frac{1}{n}\).\)

Since the series  \(\(\sum_{n=1}^{\infty} \frac{1}{n}\)\)  is a known divergent harmonic series, and the terms of our series are less than or equal to the corresponding terms of the harmonic series, we can conclude that our series is also divergent.

Therefore, the first series is divergent.

2. Series:

\(\[\sum_{n=1}^{\infty} \left(\frac{n}{{n^2 + 3}}\right)^n\]\)

To test the convergence or divergence of this series, we can use the root test or the ratio test.

Using the root test:

We take the \(\(n\)th\) root of the absolute value of the series term and check the limit as \(\(n\)\) approaches infinity.

Let's calculate the limit:

\(\[\lim_{{n\to\infty}} \left(\frac{n}{{n^2 + 3}}\right)^n = \lim_{{n\to\infty}} \left(\frac{n^n}{{(n^2 + 3)^n}}\right) = \lim_{{n\to\infty}} \left(\frac{n^n}{{n^{2n} + 3n}}\right) = \lim_{{n\to\infty}} \left(\frac{n^n}{{n^{2n}}}\right) = \lim_{{n\to\infty}} \left(\frac{1}{{n^n}}\right) = 0\]\)

Since the limit is less than 1, the root test tells us that the series converges.

Therefore, the second series is convergent.

In summary:

1. The first series is divergent.

2. The second series is convergent.

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Answer:

y= -x -5

Step-by-step explanation:

subtract x from both sides and get y+5= -x

Therefore, the Cartesian coordinates for the polar coordinates (4, -7π/6) are (-2√3, -2).

To find the Cartesian coordinates of the given polar coordinates, we can use the following formulas:

x = r * cos(θ)

y = r * sin(θ)

where r is the radius and θ is the angle in radians.

Let's calculate the Cartesian coordinates and plot the points:

a. (4, 5π/2)

Using the formulas:

x = 4 * cos(5π/2)

y = 4 * sin(5π/2)

x = 4 * 0

y = 4 * (-1)

x = 0

y = -4

Therefore, the Cartesian coordinates for the polar coordinates (4, 5π/2) are (0, -4). Plotting this point on a graph would yield a point at the origin (0, 0) since the x-coordinate is 0 and the y-coordinate is -4.

b. (4, -7π/6)

Using the formulas:

x = 4 * cos(-7π/6)

y = 4 * sin(-7π/6)

x = 4 * (-√3/2)

y = 4 * (-1/2)

x = -2√3

y = -2

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Answer:

4 IS THE ANSWER MATE

Step-by-step explanation:

Absolutely, I can do that!

Let's take a look at each statement:

1) f(x) has a y-intercept at (0,2)

To find the y-intercept, we need to set x to 0 and solve for y. Plugging in x = 0 into the equation for f(x), we get:

f(0) = -log(0+4) + 2

f(0) = -log(4) + 2

f(0) = -0.602 + 2

f(0) = 1.398

Since the y-coordinate of the y-intercept is 1.398, not 2, this statement is false.

2) The function -f(x) has a y-intercept at (0,2)

Since the negative sign in front of f(x) reflects the graph of f(x) across the x-axis, we can determine the y-intercept of -f(x) by taking the opposite of the y-intercept of f(x). Since the y-intercept of f(x) is not 2, this statement is also false.

3) As x approaches positive infinity, the function f(x) approaches negative infinity.

The function f(x) is a logarithmic function with a negative coefficient, which means it approaches negative infinity as x approaches positive infinity. Therefore, this statement is true.

4) As x approaches -4 from the right, the function f(x) approaches negative infinity.

As x approaches -4 from the right, the value of f(x) becomes more and more negative without bound, which means that f(x) approaches negative infinity as x approaches -4 from the right. Therefore, this statement is also true.

In summary, statements (1) and (2) are false, while statements (3) and (4) are true.

Answer:

2/6 = 1/3

8/1 = 8

2/4 = 4/8

2/8 = 1/4

4/4 = 1

Step-by-step explanation:

2/2 = 1 and 6/2 = 3 so that would make the equivalent fraction 1/3

for 8/1 it is the same as just 8

2*2 = 4 and 4*2 = 8 so that would make the equivalent fraction 4/8

the same goes for 2/8 which is 1/4

and 4/4 is just 1  

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

2/6=1/3

8/1=8

2/4=4/8

2/8=1/4

4/4=1

Answer:

N - 3

Step-by-step explanation:

It is a series of -3 so:

7 -3 = 4

4 - 3 = 1

1 - 3 = -2

So:

N-3

where N is the present value in the sequence.

Answer:

A shortened version of a text that includes the most important events, ideas, and details without a reader’s opinion

Step-by-step explanation:

Summaries are used to quickly explains what the text is about. They include key details that express important facts, not opinions.

Answer:

B. f(x) = 4x

Step-by-step explanation:

Answer:

6 letters in CHANCE

So, 1/6

Step-by-step explanation:

The equation for the axis of symmetry for the given parabolic graph is found as: x = 3.

A parabola is the graph of a quadratic function and features a vertical line passing through its vertex as its axis of symmetry.

The graph is also symmetric, with the axis of symmetry being a vertical line that passes through the vertex.

Thus, the equation for the axis of symmetry for the given parabolic graph is found as: x = 3.

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Answer:

David launches a rock straight up over the edge of a 60-foot cliff and into the ocean. After 4 seconds, the rock reaches a maximum height of 108 feet. Six seconds later, the rock enters the ocean.  . Create a graph to represent the scenario. The graph should include at least the x- and y-intercepts and the vertex. (A complete graph consists of axis labels and appropriate scales, ordered pairs for each identified point, the function, and appropriate domain/range.)  . Write a function to model the scenario.  Part C. Create a table of values to represent the scenario. Be sure to include at least five values. Values should include at least the x- and y-intercepts and the vertex.  Part D. Identify how you see the x- and y-intercepts and vertex in the table, graph, and equation. (Hint: You may want to rewrite the equation in equivalent forms.)

Step-by-step explanation:

Answer:

25 cents or $0.25

Step-by-step explanation:

1.25 + 2x = 0.50 + 5x

0.75 = 3x

x = 0.25

To write Acos(?0t) + Bsin(?0t) in the form r*sin(?0t - ?), we can use the identities. The relationship among R, r, ? and ? is:
R^2 = r^2 (1 + (A/B)^2), tan? = r/R = B/A

r = sqrt(A^2 + B^2)
tan? = B/A

Therefore, r = sqrt(A^2 + B^2) and tan? = B/A.

To determine the relationship among R, r, ? and ?, we can use the identity:

R^2 = r^2 + (tan?)^2

Therefore, R = sqrt(r^2 + (tan?)^2) and tan? = r/R. Substituting the expression for tan? from earlier, we get:

tan? = B/A = r/R

Solving for R, we get:

R = r/tan? = r/(B/A) = rA/B

And substituting the expression for R in terms of r and tan?, we get:

R = sqrt(r^2 + (r/R)^2) * A/B

Simplifying this expression, we get:

R^2 = r^2 + (A/B)^2 * r^2

R^2 = r^2 (1 + (A/B)^2)

Therefore, the relationship among R, r, ? and ? is:

R^2 = r^2 (1 + (A/B)^2)
tan? = r/R = B/A

To show that Acos(ω₀t) + Bsin(ω₀t) can be written in the form r*sin(ω₀t - θ), we can use trigonometric identities. We know that:

sin(a - b) = sin(a)cos(b) - cos(a)sin(b)

Comparing this to the given expression, we have:

Acos(ω₀t) + Bsin(ω₀t) = r*sin(ω₀t - θ) = r[sin(ω₀t)cos(θ) - cos(ω₀t)sin(θ)]

Now, let's equate the coefficients of sin(ω₀t) and cos(ω₀t):

A = -r*sin(θ)
B = r*cos(θ)

To find r and θ in terms of A and B, we can use the Pythagorean identity:

A² + B² = (-r*sin(θ))² + (r*cos(θ))² = r²(sin²(θ) + cos²(θ)) = r²

Therefore, r = √(A² + B²).

Now, to find θ, we can use the tangent function:

tan(θ) = -A/B

Now, for the second part, if Rcos(ω₀t - θ) = r*sin(ω₀t - θ), we can use the sine-to-cosine transformation:

Rcos(ω₀t - θ) = Rsin(ω₀t - θ + π/2)

This implies that:

R = r
θ + π/2 = θ'

So, the relationship among R, r, θ, and θ' is:

R = r
θ' = θ + π/2

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The probability of picking a male from the population whose weight will be greater than 251 lbs is 0.13%.

In order to calculate the probability we need to use the formula of z-score

z = (x -μ)/ σ

here,

x = value of interest

μ = population mean

σ = population standard deviation

now adding the values into the given formula

z = ( 251 -182)/23

z =  69/23

z = 3

now after using the standard distribution table the probability of a z-score greater than 3 is 0.13%

The probability of picking a male from the population whose weight will be greater than 251 lbs is 0.13%.

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The number of days in which Meena would be able to complete the work alone is 24 days.

In order to determine the number of days in which Meena would be able to complete the work alone, we would have to assign variables to the amount of time taken by Mala, Meena, and Vinay, and then translate the word problem into an algebraic equation as follows;

Note: Combined work rate = 1/x + 1/y + 1/z

Based on the information provided, we have the following equations that models the work rate by each person;

1/(x + y) = 10 ⇒ 1/10 = x + y    ........equation 1.

1/(y + z) = 12 ⇒ 1/12 = y + z    ........equation 2.

1/(x + z) = 15 ⇒ 1/15 = x + z    ........equation 3.

x + y + y + z + x + z = 1/10 + 1/12 + 1/15

2(x + y + z) = 15/60

2(x + y + z) = 1/4

x + y + z = 1/8

From equation 2, we have:

x + (y + z) = 1/8

x + 1/12 = 1/8

x = 1/8 - 1/12

x = 1/24

x = 24 days.

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Answer:

-6.05+(-3.611)=-9.661

Step-by-step explanation:

Answer:

Step-by-step explanation:

what question?

Answer:

$149.09

Step-by-step explanation:

56.75-14.10=42.65

42.65+41.50=84.15

84.15-11.03=73.12

73.12-7.25=65.87

65.87+83.22=149.09

Answer:

Step-by-step explanation:

If a line is parallel to a side of a triangle, then the intersected sides are divided proportionally

4/2=y/3

2=y/3

y=2*3 = 6

next,

If the angles of one triangle are equal to the angles of another triangle, then the triangles are said to be equiangular.

(4+2)/4=6/x

6/4=6/x

x=4