O=3, 9, 15, 21, 27, 33, 39 in set builder notation

Answer:

0

Step-by-step explanation:

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Evaluate using PEMDAS

Parenthesis - None

Exponents 2^3

2x2 = 4

4x2 =8

now we have

72/9 - 1 x 8

Multiplication and Division

Going left to right

72/9=8

-1x8=-8

now we have 8 - 8

our last step is to subtract

8 - 8 = 0

the answer is 0

Answer:

5.

Step-by-Step explanation:

Distance = √ [(6-3)^2 + (8-4)^2) ]

= √(9 + 16)

= √25

= 5.

Answer:

Point M

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

So you need to find out which is not rational.

A is a rational number because when you put the expression in a caculator you get -14.

B is a rational number.

C is a rational number because it decimal does not continue on.

D is not a rational number because it answer is a non termanting decimal.

...

Yes, it is necessary to apply the finite population correction factor because the sample size (n = 70) is more than 5% of the population size (N = 500). The finite population correction factor is used to adjust the standard error when a significant proportion of the population is sampled.

Yes, it is necessary to apply the finite population correction factor when calculating the standard error of the sample mean because the population size is finite and relatively small compared to the sample size. Without applying the correction factor, the standard error would be underestimated, leading to incorrect inference about the population mean.

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The mathematical sentence that expresses the given information is the number of players who left the team, denoted by p, are 43 less than the number of players at the start of the season or p = 52-43.

According to the question,

We have the following information:

A football team had 52 players at the start of the season, but then some players left the team. After that, the team had 43 players.

Now, let's take the number of players who left the team to be p.

So, we have the following expression:

p = 52-43

p = 9

Hence, the mathematical sentence that expresses the given information is the number of players who left the team, denoted by p, are 43 less than the number of players at the start of the season.

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Step-by-step explanation:

Given 5x + 8 = 118 (vertically opposite angles)

\(5x + 8 = 118 \\ 5x = 118 - 8 \\ 5x = 110 \\ x = 110 \div 5 \\ = 22\)

Answer:

I think 141 is the answer

Answer:

Step-by-step explanation:

A: Function 2 only; at the point where x = 0, the value of the function is 5, which is greater than 3.
B: Function 3; the coefficient of x is the greatest out of all of them.
C: Function 4; the y-intercept of -1 only deviates from 0 by 1.

This is a two-tailed test, and the P-value associated with this situation is between 0.05 and 0.1.

The t-test analysis for the mean lifetime of pond flies.

(1) To determine if this is a right-tailed, left-tailed, or two-tailed test, we need to consider the hypothesis being tested. In this case, the biologist wants to know if the mean lifetime for all pond flies of a particular type is 24.6 days.

The null hypothesis (H0) would be that the mean lifetime is equal to 24.6 days (μ = 24.6), while the alternative hypothesis (H1) would be that the mean lifetime is not equal to 24.6 days (μ ≠ 24.6).

Since the alternative hypothesis is testing for a difference in either direction, this would be a two-tailed test.

(2) To find the P-value, we need to consult the t-table using the test statistic, t = 2.025, and the degrees of freedom, which is calculated as (sample size - 1) or (38 - 1) = 37. Looking up these values in the t-table, you'll find that the P-value lies between 0.025 and 0.05. Since this is a two-tailed test, you should multiply the value by 2, giving you a final P-value range between 0.05 and 0.1.

Your answer: This is a two-tailed test, and the P-value associated with this situation is between 0.05 and 0.1.

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Answer:

a < -30/31

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

7a + 42 + 8 < -10 + 9a - 64a

Step 2: Solve for a

Here we see any number a less than -30/31 would work as a solution to the inequality.

Hi there!

it is y=80x

As you can see if x=80y then if we say that y=5 then x would be 400. Yiu can also tell that the if the x=5 then the y would be 500 so this wouldn’t make sense.

For B, you can tell that if x is 2 then y would be 160 which is correct if you can see..

Now we know that is B but let find out the others...

If x=y+80 then y always have to change... if x was 2 then the y would be 89 and if the x was 3 than y would be 160.

D is also the same as A but it’s the opposite.. y would be 160 then x would be 2. When y turned into 240 then x would be 3. It changes just like A.

Therefore, the equation that best represent this relationship is y=80x..

Answer:

x = 6

Step-by-step explanation:

3x - 1 = 34/2

3x - 1 = 17

3x = 17 + 1

3x = 18

3/3 x = 18/3

x = 6

Answer:

x + y = 5 (or) xy = 4 (or) x - y = 3

Answer:

Each bag is $1.50. 11 bags would cost $16.50.

Answer:

Each bag would cost 1.50$.

15.00$ / 10 = 1.5$

1.5 = 1.50

______________________

11 bags:

1.5 x 11 = 16.5

16.5 = 16.50$

11 bags would cost 16.50$

To solve this problem, we need to use the formula for the nth term of an arithmetic sequence:
an = a1 + (n-1)d  where a1 is the first term, d is the common difference, and n is the term number.  This means that the first term is 118, the common difference is -6, and each subsequent term is found by subtracting 6 from the previous term.

We know that the 4th term is 100, so we can substitute this into the formula:
a4 = a1 + (4-1)d
100 = a1 + 3d

Similarly, we know that the 13th term is 46:
a13 = a1 + (13-1)d
46 = a1 + 12d
Now we have two equations with two unknowns (a1 and d), which we can solve by elimination or substitution. I will use elimination:
100 = a1 + 3d
-46 = -a1 - 12d
------
54 = -9d
d = -6
Now we can substitute d back into one of the equations to solve for a1:
100 = a1 + 3(-6)
a1 = 118
Therefore, the expression for the general term of the arithmetic sequence is:
an = 118 - 6(n-1) or  an = 124 - 6n

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x=6 m<ABD=20 *I think*

Step-by-step explanation:

Find x

plug in your answer

The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.

At time t=0,

the standing wave can be mathematically expressed as

y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.

This means that the displacement of the string is zero at time t=0.

However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.

As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).

The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.

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Answer:

Cathy bought a bicycle in Washington, where the sales tax rate was 6.5% of the purchase price. What was (a) the sales tax and (b) the total cost of a bicycle if the purchase price of the bicycle was $392?

Answer: if this is a fraction 4\2 is greater

Step-by-step explanation: First you need same denominaters the lest coomon is four 2 over 4 is fine 4 over 2 two times 2 is 4 and 4 times 4 is 16 with will leave you with 16/4 or 2/4 simplfied 4/2 is greater

Answer:

The expressions are equal.

Step-by-step explanation:

Notice that \(a^{-b}=\frac{1}{a^b}\) for all (real) \(a,b\). So \(4^{-2}=\frac{1}{4^2} = \frac{1}{16}\) and \(2^{-4} = \frac{1}{2^4} = \frac{1}{16}\). Therefore, the expressions are equal.

Answer: The answer would be 8

Step-by-step explanation:

The spinner that could be used to simulate pulling a bead out of the bag without looking would have three sections: 6 white, 1 red, and 1 pink.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

To simulate pulling a bead out of the bag without looking, we need a spinner with three sections, each section representing one of the three colors: white, red, and pink. The size of each section should be proportional to the number of beads of that color in the bag.

The total number of beads in the bag is 18 + 3 + 3 = 24.

Therefore, the proportion of white beads is 18/24 = 3/4, the proportion of red beads is 3/24 = 1/8, and the proportion of pink beads is 3/24 = 1/8.

To create a spinner with these proportions, we could divide a circle into 8 equal sections, color 6 of them white, 1 of them red, and 1 of them pink.

Hence, the spinner that could be used to simulate pulling a bead out of the bag without looking would have three sections: 6 white, 1 red, and 1 pink.

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Each sampling method is matched with the appropriate response based on its characteristics and purpose in sampling.

a. Cluster sampling

b. Systematic sampling

c. Stratified sampling

d. Convenience sampling

a. Cluster sampling is the sampling method where representatives of the population are found across multiple groups, and the researcher randomly chooses some of those groups and studies all members in the chosen groups. This method is useful when it is not feasible or practical to sample individuals directly from the population, but rather sample groups or clusters that represent the population.

b. Systematic sampling is the method where every nth member of a population is chosen. This sampling technique requires an ordered list of the population, and then individuals are selected at regular intervals.

c. Stratified sampling is used when the population naturally falls into several distinct and meaningful categories, and the researcher randomly chooses some participants from each group. This method ensures that each stratum of the population is represented in the sample.

d. Convenience sampling refers to a haphazard approach to selecting participants, where the researcher chooses participants from whoever is available and willing without much thought. This method is often used for its convenience and ease of access, but it may introduce bias as it may not provide a representative sample of the population.

In conclusion, each sampling method is matched with the appropriate response based on its characteristics and purpose in sampling.

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Answer:

       \(\frac{2}{7}\)

Step-by-step explanation:

3.5 = \(\frac{7}{2}\)

swap the numerator and denominator (flip the fraction):

reciprocal of \(\frac{7}{2}\) is \(\frac{2}{7}\)

Answer:

A. -6 - 15 = - 21

The measure of the angles m∠1 and m∠2 for the polygon are 72° and 54° respectively.

To calculate the sum of interior angles of a polygon, you can use the following formula:

Sum of interior angles = (n-2) x 180 degrees

Where "n" represents the number of sides (or vertices) of the polygon.

Given the 5 sided polygon;

(5 - 2) × 180 = 540

one interior angle = 540/5 = 108°

m∠2 = 108°/2

m∠2 = 54°

m∠1 = 180 - [2(54°)]

m∠1 = 180 - 108

m∠1 = 72°

Therefore, the measure of the angles m∠1 and m∠2 are 72° for the polygon and 54° respectively.

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The Number of people is 12 when time taken is 2 hours.

According to the statement

Time taken when 10 people works is 3 hours

Time taken when 5 people works is 8 hours

Then we have to find the number of peoples when time taken is 2 hours.

So, average time that for which single person works is 180 min/ 10 = 18 min.

It means the average time for single person works is 18 min in case of 10 people.

and one thing is clear that the number of people is greater than 10 people when time taken is 2 hours.

So, The Number of people is 12 when time taken is 2 hours.

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When we translate a graph adding X units it will have a horizontal shift to the left.

But if we subtract X units, it'll have a horizontal shift to the right

So in this case, x-3 means we are doing a horizontal shift to the right.

Answer:

10651.7 gallons

Step-by-step explanation:

Using the fourth-order Runge-Kutta method, the solution to the given differential equation y' = Y - T² + 1 with the initial condition Y(0) = 0.5 and a step size h = 0.5 for 0 ≤ T ≤ 2 is:

Y(0.5) ≈ 1.7031

Y(1.0) ≈ 2.8730

Y(1.5) ≈ 4.3194

Y(2.0) ≈ 6.0406

To solve the given differential equation using the fourth-order Runge-Kutta method, we need to iteratively calculate the values of Y at different points within the given interval. Here's a step-by-step calculation:

Step 1: Define the initial condition:

Y(0) = 0.5

Step 2: Determine the number of steps and the step size:

Number of steps = (2 - 0) / 0.5 = 4

Step size (h) = 0.5

Step 3: Perform the fourth-order Runge-Kutta iteration:

Using the formula for the fourth-order Runge-Kutta method:

k₁ = h * (Y - T² + 1)

k₂ = h * (Y + k₁/2 - (T + h/2)² + 1)

k₃ = h * (Y + k₂/2 - (T + h/2)² + 1)

k₄ = h * (Y + k₃ - (T + h)² + 1)

Y(T + h) = Y + (k₁ + 2k₂ + 2k₃ + k₄)/6

Step 4: Perform the calculations for each step:

For T = 0:

k₁ = 0.5 * (0.5 - 0² + 1) = 1.25

k₂ = 0.5 * (0.5 + 1.25/2 - (0 + 0.5/2)² + 1) ≈ 1.7266

k₃ = 0.5 * (0.5 + 1.7266/2 - (0 + 0.5/2)² + 1) ≈ 1.8551

k₄ = 0.5 * (0.5 + 1.8551 - (0 + 0.5)² + 1) ≈ 2.3251

Y(0.5) ≈ 0.5 + (1.25 + 2 * 1.7266 + 2 * 1.8551 + 2.3251)/6 ≈ 1.7031

Repeat the same process for T = 0.5, 1.0, 1.5, and 2.0 to calculate the corresponding values of Y.

Using the fourth-order Runge-Kutta method with a step size of 0.5, we obtained the approximated values of Y at T = 0.5, 1.0, 1.5, and 2.0 as 1.7031, 2.8730, 4.3194, and 6.0406, respectively.

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