Write the next three terms of the arithmetic sequence. 13 - 8 – 3 ,2 _,_,_

Answer: It will be D

Step-by-step explanation: 5 divided by 8 is 1.2

Answer:

The equation of the line is:

Step-by-step explanation:

Given the points

Finding the slope between the points

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(-5,\:8\right),\:\left(x_2,\:y_2\right)=\left(-1,\:9\right)\)

\(m=\frac{9-8}{-1-\left(-5\right)}\)

\(m=\frac{1}{4}\)

Using the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

substituting the values m = 1/4 and the point (-5, 8)

\(y-8=\frac{1}{4}\left(x-\left(-5\right)\right)\)

\(y-8=\frac{1}{4}\left(x+5\right)\)

Add 8 to both sides

\(y-8+8=\frac{1}{4}\left(x+5\right)+8\)

\(y=\frac{1}{4}x+\frac{37}{4}\)

Thus, the equation of the line is:

The 2 points on the line given are:

The slope formula can be used to find the slope. We can write the slope formula as:

Substituting the values, we get the slope of the line:

Step-by-step explanation:

the center of the circle is the midpoint of the diameter.

and the radius is the distance of the midpoint to either endpoint (or simply half of the distance between the diameter endpoints).

the midpoint between points A and B

(xm, ym) = ((xa + xb)/2, (ya + yb)/2)

in our case the midpoint (center of the circle) is

((-6 + 2)/2, (10 + 3)/2) = (-4/2, 13/2) = (-2, 6.5)

about the radius

diameter² = (-6 - 2)² + (10 - 3)² = (-8)² + 7² = 64 + 49 =

= 113

diameter = sqrt(113) = 10.63014581...

radius = diameter / 2 = 5.315072906... ≈ 5.315

Answer:

Austin: \(25\)

Dante: \(64\)

Yoko: \(16\)

Step-by-step explanation:

Total: \(105\)

Austin: \(y+9\)

Dante: \(4y\)

Yoko: \(y\)

Equation:

\(y+9+4y+y=105\\6y+9=105\\6y=96\\y=16\)

Invisible Steps:

Combine like terms: \(y+y+4y=6y\)

Subtract 9 from each side: \(6y+9-9=6y\)

                                            \(105-9=96\)

Divide by 6 on each side: \(6y\) ÷ \(6=y\)

                                           \(96\) ÷ \(6 = 16\)

Answer:

Is 03.841

Step-by-step explanation:

To find the critical value needed to test the claim that the sentence is independent of the plea, we need to perform a chi-square test of independence. The critical value is based on the significance level (α) and the degrees of freedom.

In this case, the given significance level is 0.05. Since the table represents a 2x2 contingency table (two categories for plea and two categories for sentence), the degrees of freedom (df) can be calculated as (number of rows - 1) * (number of columns - 1) = (2 - 1) * (2 - 1) = 1.

To find the critical value at a significance level of 0.05 with 1 degree of freedom, we consult a chi-square distribution table or use statistical software.

The critical value for a chi-square test with 1 degree of freedom and a significance level of 0.05 is approximately 3.841.

Therefore, the correct answer is 03.841.

Answer:

400 litres

Step-by-step explanation:

An expression for given sequence of operations is: j + 3^9

In this question, we need to write an expression for the sequence of operations described below.

raise 3 to the 9th power, then add the result to j

Consider the part of given statement,

raise 3 to the 9th power

We write this as: 3^9

then we add this result to j.

So, we get an expression: 3^9 + j

Therefore, an expression for given sequence of operations is: j + 3^9

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Answer:

Answer from least to greatest is: -6, -1, 5

I know this I learned it in class today lol

Answer:

The answer is 91 inches or 7ft 7in.

Answer: c

Step-by-step explanation:

i got it right

Answer:

C) Yes, because substituting these values into both equations forms two true statements.

Step-by-step explanation:

Answer:

a

  \(z_t = -1.645\)

b

 We should reject the Upper  \(H_o\)

Step-by-step explanation:

From the question we are told that

   The test statistics is     \(t_s = -3.43\)

     The probability is   \(p < 0.39\)

      The level of significance is \(\alpha = 0.05\)

Now looking at the probability we can deduce that this is a left tailed test

The  second step to take is to obtain the critical value of \(\alpha\) from the critical value table  

    The value  is  

               \(t_ {\alpha } = 1.645\)

Now  since this  test is  a  left tailed test  the critical value will be

               \(z_t = -1.645\)

This because we are considering the left tail of the normal distribution curve

 Now  since the test statistics falls within the  critical values the Null hypothesis is been rejected

Answer:

1. List (in order) the five phases a single 2 solar mass will go through in its life.

2. List (in order) the five phases a single 25 solar mass will go through in its life.

3. List (in order) the five phases a single 60 solar mass will go through in its life.

Phase options (can be used more than once, some may not be used at all):

Type II Supernova

Protostar

White Dwarf

Giant Phase

Main sequence

Neutron Star

Brown Dwarf

Black Hole

Type 1a Supernova

Planetary Nebula

Step-by-step explanation:

Answer:

64 times

Step-by-step explanation:

Multiply 0.4, the chance of getting tails, which 160, the amount of times you flip the coin, and you get 64. This is reasonable, because the probability of getting heads is 0.6, and if you flip the coin 160 times, you will get heads 96 times. Hope this helped :)

The difference between the median is 0.5. option D

Getting the sets of values that we have in order, we can see that we have;

12, 15, 33, 45, 46, 51, 52, 93

We can find the median between  4th and 5th numbers this is now going to give us that;  (45+46)/2 =  45.5

Median value  = 45.5

We can see that 93 is the outlier in the data set so if we remove it we would have;

12, 15, 33, 45, 46, 51, 52

The median of the data set in this case is 45.

The difference is;

45.5 - 45 = 0.5

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Missing parts;

The number of lattes sold daily for two coffee shops is shown in the table:

Lattes

12

52

93

33

51

15

46

45

Based on the data, what is the difference between the median of the data, including the outlier and excluding the outlier?

A.46

B.45.5

C.45

D.0.5

Research Report:

Title: The Number of Coins Carried by Teachers

Introduction:

This research report aims to investigate the number of coins carried by teachers. The study seeks to understand the reasons behind carrying coins and whether there are any patterns or correlations between the number of coins and certain factors such as age, gender, and occupation.

The data was collected through a survey distributed among teachers from various educational institutions. The findings of this study provide insights into teachers' habits and preferences when it comes to carrying coins.

Results and Analysis:

A total of 300 teachers participated in the survey. The data revealed that the majority of teachers (60%) carry less than 5 coins, while 25% carry between 5 and 10 coins. Only a small percentage (15%) reported carrying more than 10 coins.

Further analysis based on demographic factors indicated that age and occupation had a significant influence on the number of coins carried. Older teachers were more likely to carry fewer coins, with 70% of teachers above the age of 50 carrying less than 5 coins.

Additionally, primary school teachers tended to carry more coins compared to secondary school teachers.

Discussion and Interpretation:

The findings suggest that the number of coins carried by teachers is influenced by various factors.

Teachers may carry coins for a range of reasons, such as purchasing small items, providing change for students, or utilizing vending machines.

The lower number of coins carried by older teachers could be attributed to a shift towards digital payment methods or a preference for carrying minimal cash.

The discrepancy between primary and secondary school teachers could be due to differences in daily activities and responsibilities.

This research provides valuable insights into the habits and preferences of teachers regarding the number of coins they carry.

Understanding these patterns can assist in designing more efficient payment systems within educational institutions and potentially guide the development of tailored financial solutions for teachers.

Further research could explore the reasons behind carrying coins in more depth and investigate how the digitalization of payments affects teachers' behavior in different educational contexts.

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Answer:

$306

Step-by-step explanation:

In one year, the 2% annual interest would have been applied once. Therefore, your brother would pay you 1.02 * 300 which is 306.

Hope this helps :)

Answer:  306 dollars

===========================================

Work Shown:

i = P*r*t ..... simple interest formula

i = 300*0.02*1

i = 6

Your brother pays $6 in simple interest on top of the $300 in principal loaned to him. The total amount he pays back is 300+6 = 306 dollars.

----------

Another way to calculate the answer is to do these steps

A = P*(1+r*t)

A = 300*(1+0.02*1)

A = 300*(1.02)

A = 306

The 1.02 represents a 2% increase when going from 300 to 306.

2081 is the estimated population of the deer as per the given table.

We assume that the characteristics of the sample of the deer population match the characteristics of the population as a whole. This will be the case if the sample is random: each deer is equally likely to be included in the sample.

So, if 85 of the 110 marked deer show up in the sample, we assume that the sample is 85/110 of the entire population.

For a sample size of 1608 deer, that means the population is estimated to be ...

 1608 = 85/110 × population

 population = 1608 × 110/85 = 2081

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Proportions

It's assumed the amount of water consumed by one person is proportional to the time.

The contant of proportionality is given as 45 gal/day.

Since one normal year has 365 days, then we use the same proportion to calculate the water used in one year as follows:

Water used = 45 * 365 = 16,425 gallons.

The average person uses 16,425 gallons.of water in one year

Hey there! I'm happy to help!

There are sixty seconds in a minute. This means there are 180 seconds in 3 minutes, meaning that Melissa ran her race is 188 seconds.

2 minutes is 120 seconds, plus 45 gives us 165 seconds.

188-165=23

Melissa had to run 23 seconds faster to meet her goal.

Have a wonderful day! :D

Answer:

She needs to run 23 seconds faster

Step-by-step explanation:

First convert from minutes to seconds

3 minutes and 8 seconds= 188 seconds

2 minutes and 45 seconds=165 seconds

Now subtract

188-165=23

She needs to run 23 seconds faster

Hope this helps :)

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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The equivalent expression of 2(3x+5)+4(2x-1) is 2(7x + 3)

The expression is given as:

2(3x+5)+4(2x-1)

Open the brackets

6x + 10 + 8x - 4

Evaluate the like terms

14x + 6

Factor out 2

2(7x + 3)

Hence, the equivalent expression of 2(3x+5)+4(2x-1) is 2(7x + 3)

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An equation that represents the cost of green squash at the local farmers market include the following: C = 1.50p.

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

c = kp

Where:

Next, we would determine the constant of proportionality (k) by using the various data points from table D as follows:

Constant of proportionality, k = c/p

Constant of proportionality, k = 15/10

Constant of proportionality, k = $1.5 per pounds.

Therefore, the required linear equation is given by;

c = kp

c = 1.50p

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

The answer is "Option a".

Step-by-step explanation:

In the question, Option a is correct, because in this choice, Let x determine its amount of pupils hired and the point y is let as it's mean that it is the number of experts who recruited in the researcher, and description of the choice can be defined as follows:

\(Min C = 246x + 407y; \\\\s.t \ 30 x + 12 y \geq 163, \\\\10x + 28y \geq 131, \\\\x \geq 0, \\\\y \leq 0\\\\\)

Step-by-step explanation:

i dont know the 5 step strategy but i will show u my way

3x-2=55

3x=53

x=53/3

Answer:

z = \(\frac{1}{2}\) xy

Step-by-step explanation:

given z is directly proportional to xy then the equation relating them is

z = kxy ← k is the constant of proportion

to find k use the condition z = 21 when x = 6 and y = 7

21 = k × 6 × 7 = 42k ( divide both sides by 42 )

\(\frac{21}{42}\) = k , that is

k = \(\frac{1}{2}\)

equation relating them is

z = \(\frac{1}{2}\) xy

Answer:

First one=120,138 Second one=477,900

Step-by-step explanation: For the first one use subtraction, and for the second one use multiplication. Such as multiplying each digit of 6,372 by 7 and by 5. The top one is pretty self explanatory.

The solution to given linear inequality, 6(x1.5) + 30 < 48, is x < 2

From the question, we are to solve the given linear inequality

The given linear inequality is

6(x1.5) + 30 < 48

First, we will write this inequality properly.

The inequality can be properly written as

6(1.5x) + 30 < 48

Now, we will solve the linear inequality

6(1.5x) + 30 < 48

Subtract 30 from both sides of the equation

6(1.5x) + 30 - 30 < 48 - 30

6(1.5x) < 18

Divide both sides of the inequality by 6

6(1.5x)/6 < 18/6

(1.5x) < 3
1.5x < 3

Divide both sides of the inequality by 1.5

1.5x/1.5 < 3/1.5

x < 2

Hence, the solution is x < 2

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