Find the 69th term of the following arithmetic sequence.
6, 15, 24, 33,

Answers

Answer 1

Answer:

414

Step-by-step explanation:

6 x 69= 414

Answer 2

Answer:

618

Step-by-step explanation:

9n-3

9 x 69 - 3

= 618

........


Related Questions


Find the length of the right triangle’s other leg. Round to the nearest tenth.
leg = 10 ft
hypotenuse = 12 ft

Answers

Answer: 17.32

Step-by-step explanation:

Please help ASAP! I will mark Brainliest! Please READ the question THEN answer CORRECTLY! No guessing!

Answers

Answer:

a

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Firstly, [tex]x^{-y} = \frac{1}{x^y}[/tex], so in this case, you multiply [tex](6^{-8})^4[/tex], which equals [tex]6^{-32}[/tex]. Then, plug it into [tex]x^{-y} = \frac{1}{x^y}[/tex] and you get

[tex]6^{-32} = \frac{1}{6^{32}}[/tex], so it's [tex]\boxed{A.}[/tex]

Prove that line RT⟂ line SU.

Answers

Answer:

1. Statement: ∠RVS ≅ ∠SVT

2. Statement: m∠RVS + m∠SVT = 180°

3. Statement: m∠RVS + m∠RVS = 180°

4. Statement: m∠RVS = 90°

5. Statement: Line RT ⊥ Line SU

1. Reason: Given

2. Reason: Angles forming a linear pair sum of 180°

3. Reason: Substitution

4. Reason: Algebra

5. Reason: Defintion of perpendicular lines

Step-by-step explanation:

First, write the given (line 1).

Next, use the fact that angles forming a linear pair sum to 180° to show m∠RVS + m∠SVT = 180° (line 2).

Next, substitute m∠RVS for m∠SVT in m∠RVS + m∠SVT=180° (line 3).

Next, use algebra to show m∠RVS = 90° (line 4).

Finally, use the definition of perpendicular lines to prove that Line RT ⊥ Line SU (line 5).

Hope this helps :D

Answer:

1. Statement: ∠RVS ≅ ∠SVT

2. Statement: m∠RVS + m∠SVT = 180°

3. Statement: m∠RVS + m∠RVS = 180°

4. Statement: m∠RVS = 90°

5. Statement: Line RT ⊥ Line SU

1. Reason: Given

2. Reason: Angles forming a linear pair sum of 180°

3. Reason: Substitution

4. Reason: Algebra

5. Reason: Defintion of perpendicular lines

simplify 36ab divided by 40ab​

Answers

Search Results
Featured snippet from the web
What is 36/40 Simplified? - 9/10 is the simplified fraction for 36/40.

Find the area of the shaded region.
You do not need to include units.
21 in
20 in

Answers

Answer: about 450.52

Use Pythagorean Theorem to find the diameter of the circle. Divide the diameter by 2 to find the radius, and solve for the area of the circle (πr^2). Then, solve for the area of the triangle (bh/2). Subtract the area of the triangle from the area of the circle.

Which of the following values of t will result in a true statement when substituted into the given equation? A. t = 8 B. t = -8 C. t = 11 D. t = -12

Answers

Answer:

B

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Find the slope, if it exists, of the line containing the points (-1,-15) and (-17,-20)
The slope is _____________________

Answers

y=.3125x - 14.6875 or y=5/16x - 235/16

Write the following equation in standard form.
y=-4/5x-2

Answers

Answer:

4x+5y=-2

Step-by-step explanation:

y=-4/5x-2

5y=-4x-2

4x+5y=-2

Oswaldo is cooking a big dinner. He buys 301230\dfrac{1}{2}3021​30, start fraction, 1, divided by, 2, end fraction ounces of sweet potatoes, 131413\dfrac{1}{4}1341​13, start fraction, 1, divided by, 4, end fraction ounces of asparagus and 201420\dfrac{1}{4}2041​20, start fraction, 1, divided by, 4, end fraction ounces of squash.
How many pounds of vegetables did Oswaldo buy altogether?

Answers

Answer:

4

Step-by-step explanation:

30 + 20 + 13 = 63, + fractions = 64. But you have to divide to get to pounds. So 64 / 16 = 4

YAY

In his statistics class, Sam said, “Linear regression model is a tool to predict the relationship between the dependent variable, and independent variable. So, there will be one specific linear regression model that I can use to know the relationship of variables. I decided to use ordinary least square to have the best estimates for linear regression model parameters because ordinary lease square makes me find the linear regression equation with minimum average of difference between actual dependent variable and the value predicted by linear regression model.” Is Sam correct? If not, how do we need to fix his idea?

Answers

Answer:

Yes, Sam is correct and there is no need to fix his idea.

Step-by-step explanation:

Linear Regression model is one of the Important model that is been used in statistics especially in statistics which actively involved data analysis of dependent variable and an independent variable. Between these two that is dependent variable and an independent variable, the application of Linear Regression model is used in showing the relationships between the two variables.

Just like Sam said in the question above, '' “Linear regression model is a tool to predict the relationship between the dependent variable, and independent variable...'', that is what linear regression is used for.

Answer:

Yes, obviously Sam is correct

Step-by-step explanation:

Linear regression model is a tool to predict the relationship between the dependent variable, and independent variable

Linear Regression model is one of the Important model that is been used in statistics involved data analysis of dependent variable and an independent variable. Between these two that is dependent variable and an independent variable, the application of Linear Regression model is used in showing the relationships between the two variables.

Simon knows that 25% of the people at a movie theater are seeing a romantic comedy. How many people are at the movie theater if 55 people are seeing a romantic comedy?

Answers

Answer:

220

Step-by-step explanation:

Number of people in theater = x

25% * x = 55

x = 55 / 25% = 55 / 25 * 100 = 55 * 4 = 220

19/20 into a percentage

Answers

Answer:

it will be 95%

hope that helps

Answer:

95 percent

Step-by-step explanation:

Since 20 is 1/5 of 100, one number is equivalent to 5 percent.

Multiply 5 by 19.

You will get your percentage.  

Find the values of the variable y, for which:
the difference between the fractions y+12/y-4 and y/y+4 is equal to their product


Answers

Answer:

  y = 12

Step-by-step explanation:

Ordinarily, in math, when we say "the difference between ..." we mean the second listed item is subtracted from the first. (In English, we often mean "the positive difference between ..." so the order doesn't matter.)

We'll assume we are only interested in the case where the difference is in the order listed.

  [tex]\dfrac{y+12}{y-4}-\dfrac{y}{y+4}=\dfrac{y+12}{y-4}\cdot\dfrac{y}{y+4}\\\\\dfrac{(y+12)(y+4)-(y-4)(y)}{y^2-16}=\dfrac{(y+12)(y)}{y^2-16}\\\\0=\dfrac{y^2-8y-48}{y^2-16}=\dfrac{(y-12)(y+4)}{(y-4)(y+4)}=\dfrac{y-12}{y-4}\qquad\text{$y\ne -4$}\\\\\boxed{y=12}[/tex]

There is one solution.

_____

Comment on the solution

If you were to "clear fractions" by multiplying the equation by (y^2-16), you would also obtain the extraneous solution y=-4. That is why we did not solve it that way.

The scatter plot for which type of data is most likely to suggest a linear association between
the two variables?
ages and heights of a group of dogs
time working out and strength of muscles
level of water in a reservoir each day and the day's date during one month
number of books returned to the library each day and the day's date over a period of one week
Plzzzz help

Answers

Answer:

level of water in a reservoir each....

Step-by-step explanation:

The scatter plot

A scatter plot is like a scatter chart or graph that uses the dots for representing the values of two different numeric variables. The horizontal value indicates the individual point data. Thus is used for observing the realtisohips between the variables.

This the answer is level of the water in a dam each day and date during 1 month.

The scatter plot can tell you the values for the set of data. The points may be given in different sizes, colors, and shapes. The data is displayed in points. The values are shown on the vertical axis. The relationship of the data can positive, negative, and neutral. The scatter plot can display a mosaic and a fluctuational diagram.Hence the option C is correct.

Learn more about the which type of data.

brainly.com/question/22485501.

13x=-21-6y and -8x=36+6y

Answers

Answer:

[tex]x=3\\y=-10[/tex]

Step-by-step explanation:

[tex]13x=-21-6y\\-8x=36+6y[/tex]

Let's take one of the equations and solve for x. I'll take the first one.

[tex]13x=-21-6y[/tex]

Divide by 13.

[tex]x=\frac{-21-6y}{13}[/tex]

Now replace x in the second equation.

[tex]-8x=36+6y\\-8(\frac{-21-6y}{13} )=36+6y[/tex]

Distribute -8

[tex]\frac{168+48y}{13}=36+6y[/tex]

Break down the fraction.

[tex]\frac{168}{13}+\frac{48}{13}y=36+6y[/tex]

Subtract [tex]\frac{168}{13}[/tex]

[tex]\frac{48}{13}y=36+6y-\frac{168}{13}[/tex]

Subtract 6y

[tex]\frac{48}{13}y-6y=36-\frac{168}{13}[/tex]

Combine like terms;

[tex]\frac{48-13*6}{13}y=\frac{36*13-168}{13}[/tex]

Solve;

[tex]\frac{48-78}{13}y=\frac{468-168}{13}[/tex]

Keep solving;

[tex]\frac{-30}{13}y=\frac{300}{13}[/tex]

Multiply by the negative reciprocal of the fraction next to y.

[tex](-\frac{13}{30} )\frac{-30}{13}y=\frac{300}{13}(-\frac{13}{30} )[/tex]

On the right side; 13 and 13 become 1. 300/30 = 30/3 = 10

[tex]y=-10[/tex]

After having found y, replace it in any of the equations to find x.

[tex]13x=-21-6y\\13x=-21-6(-10)\\13x=-21+60\\13x=39\\x=\frac{39}{13}\\ x=3[/tex]

Answer:

x=3

y=-10

Step-by-step explanation:

13x=-21-6y...............(1)

-8x=36+6y................(11)

Add (11) to (1)

5x=15-6y+6y

5x=15

Divide both sides by 5

5x/5=15/5

x=3

Substitute x=3 in 13x=-21-6y

13(3)=-21-6y

39=-21-6y

Collect like terms

39+21=-6y

60=-6y

Divide both sides by -6

60/-6=-6y/-6

-10=y

y=-10

Greatest common factor for 30 abd 42

Answers

Answer:

  6

Step-by-step explanation:

Because you are familiar with your times tables, you know that ...

  30 = 6·5

  42 = 6·7

The greatest common factor is 6.

donovan bought 5.5 kilograms of flour for $8.25. how much does 1 kilogram of flour cost?

Answers

Answer:

$1.50

Step-by-step explanation:

Answer:$1.5

Step-by-step explanation:

5.5kg cost $8.25

1kg cost __

1kg cost 8.25/5.5

1kg cost $1.5

The altitude of an airplane is decreasing at a rate of 44 feet per second. What is the change in altitude of the airplane over a period of 34 seconds?

Answers

Answer:

1320 feet

Step-by-step explanation:

All we have to do is multiply the rate of change of altitude by the time it took the altitude to change.

The altitude of an airplane is decreasing at a rate of 44 feet per second. After 30 seconds, the change is altitude is:

44 * 30 = 1320 feet

The altitude of the airplane has changed by 1320 feet.

determine the sample space of all of the possible outcomes of choosing a card numbered 1,2,3, or 4 and a blue, green, or yellow marble. how many outcomes involve choosing a blue marble

Answers

Answer:

a) Sample Space = {(1,blue), (1, green), (1, yellow), (2,blue), (2, green),                (2, yellow), (3,blue), (3, green), (3, yellow), (4,blue), (4, green), (4, yellow)}

b) 4 outcomes involve choosing blue marble.

Step-by-step explanation:

a) FOR SAMPLE SPACE:

No. of options for choosing card = 4

No. of options for choosing marble = 3

No. of options for choosing a card and a marble = (3)(4) = 12

Therefore,

Sample Space = {(1,blue), (1, green), (1, yellow), (2,blue), (2, green),              (2, yellow), (3,blue), (3, green), (3, yellow), (4,blue), (4, green), (4, yellow)}

b) CHOOSING BLUE MARBLE:

It is evident from the sample space that, there are only 4 outcomes, which involve choosing a blue marble.

Those 4 outcomes are as follows:

(1, blue), (2, blue), (3, blue), (4, blue)

Answer:

12

Step-by-step explanation:

Four students attempt to register online at the same time for an Introductory Statistics class that is full. Two are psychology majors and two are biology majors. They are put on a wait list. Prior to the start of the semester, two enrolled students drop the course, so the professor randomly selects two of the four wait list students and gives them seats in the class.What is the probability that both students selected have different majors?

Answers

Answer:

2/3

Step-by-step explanation:

If all outcomes are listed,

{P1P2, P1B1, P1B2, P2B1, P2B2, B1B2}

then 4/6 of the outcomes have different majors.

this can be simplified to 2/3.

The probability that both students selected have different majors is 2/3

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, given that,

Four students attempt to register online.

The professor randomly selects two of the four wait list students and gives them seats in the class.

Then, the all outcomes are listed,

{P1P2, P1B1, P1B2, P2B1, P2B2, B1B2}

And, 4/6 of the outcomes have different majors

Let, A = the event of having different majors

We get, n(S)= 6

n(A)= 4

i.e. P(A)= n(A)/n(S) = 4/6 =2/3

Hence, required probability = 2/3.

To learn more on probability click:

brainly.com/question/11234923

#SPJ5

g(x) = 9x plug in g(9)​

Answers

Answer:

81

Step-by-step explanation:

replace x with 9 so it's 9x9 which is 81

Answer:

g(9) = 81

Step-by-step explanation:

g(x) = 9x

g(9) = 9(9) = 81

A company makes cones out of solid foam. Each cone has a height of 9 inches, and its base has a diameter of 5 inches. How much foam is needed to make 120 cones?

Answers

Answer: 2250 pi

Step to do:

where  is the volume of the cone,  is the radius of the base, and  is the height of the cone.

In the given problem, we know that  and . Using this, we can find the volume of a single cone:

Since the problem asks how much foam is needed to make 120 cones, we can multiply this result to get our answer:

What is the height?
4m
3m
2m
find area

Answers

Answer:

I think the area is 24

Step-by-step explanation:

Which figure below has point symmetry

Answers

Answer:

Figure D

Step-by-step explanation:

Point Symmetry is when every part has a matching part: the same distance from the central point. but in the opposite direction. Hope this helps! :)

subtract 6066 from 294

Answers

Answer:

-5772

Step-by-step explanation:

294-6066=-5772

Answer:

The answer would be 2,772

Step-by-step explanation:

6,066 - 294 = 2,272

I hope that helps!!:)


Four people—Rob, Sonja, Jack, and Ang—enter their names into a drawing. The winner receives either a t-shirt or a mug, and which prize they receive is randomly selected.

What is the probability that either Ang wins and is given a mug, or Jack wins (and is given either prize)? Give the answer as a percent.

Answers

Answer:

3.125%

Step-by-step explanation:

It is assumed the first winner is part of the second drawing as well

There are 4 people and two prizes

The probability of each person to win is 1/4

The first winner has 1/2 probability to get a mug

P(win and a mug) = 1/4*1/2 = 1/8 for Ang

The second winner, if it is Jack, gets either prize

P(win and either prize) = 1/4

The combined probability is:

1/8*1/4 = 1/32 = 0.03125 = 3.125%

Answer:

The probability is 37.5%

Step-by-step explanation:

There are eight total outcomes, but we only need to focus on three. Ang winning a mug and Jack winning either a t-shirt or a mug, that makes three. Write that as a fraction: 3/8, and then divide. 3 divided by 8 gives us 0.375. But we need a percent so multiply that by 100, that now gives us 37.5.

So, the probability that either Ang wins and is given a mug, or Jack wins is 37.5%. If it makes you feel more confident in this, I put the same exact answer for my assessment and I got it correct.

Also, “The monks named me aOng.”

100 POINTS!!

PLEASE PROVIDE STEPS

Answers

Answer:

a = 2

not continuous

Step-by-step explanation:

In order for f(x) to have a limit at 0, f(0) from the left must equal f(0) from the right.

f(0⁺) = f(0⁻)

-2 + a = a sin(0)

-2 + a = 0

a = 2

If f(x) is continuous at x = 0, f'(0) from the left must equal f'(0) from the right.

f(x) = 0 for x > 0, so f'(x) = 0 for x > 0.

f(x) = 2 sin x for x < 0, so f'(x) = 2 cos x for x < 0.

f'(0⁺) = f'(0⁻)

0 = 2 cos 0

0 = 2

f(x) is not continuous at x = 0.

Answer:

a = 2

Step-by-step explanation:

Professor Isaac Asimov was one of the most prolific writers of all time. Prior to his death, he wrote nearly 500 books during a 40-year career. In fact, as his career progressed, he became even more productive in terms of the number of books written within a given period of time. The data given in increments of 100:
Number of books, x: 100 200 300 400 500
Time in months, y: 237 350 419 465 507
a. Assume that the number of books x and the time in months y are linearly related. Find the least-squares line relating y to x.
b. Plot the time as a function of the number of books written using a scatterplot, and graph the least-squares line on the same paper. Does this seem to provide a good fit to the data points?
c. Construct the ANOVA table for the linear regression.

Answers

Answer:

Step-by-step explanation:

n = sample size = 5

a) Let us determine the sum

[tex]\sum x_i= 100+200+300+400+490=1490[/tex]

[tex]\sum x_i^2= 100^2+200^2+300^2+400^2+490^2=540100[/tex]

[tex]\sum y_i = 237+350+419+465+507=1978[/tex]

[tex]\sum y_i^2= 237^2+350^2+419^2+465^2+507^2=827504[/tex]

[tex]\sum x_i y_i=100 \times 237 + 200\times350+300 \times 419 + 400 \times 465 + 490 \times 507=653830[/tex]

Now we can determine [tex]S_x_x, S_x_y, S_y_y[/tex]

[tex]S_x_x = \sum x_i^2-\frac{(\sum x_1)^2}{n} \\= 540100 - \frac{1490^2}{5} \\= 96080[/tex]

[tex]S_x_y = \sum x_i y_i -\frac{(\sum x_i)(\sum y_i) }{n} \\\\[/tex]

[tex]653830 - \frac{1490 \times 1978 }{5} = 64386[/tex]

[tex]S_y_y = \sum y_i^2-\frac{(\sum y_i)^2 }{n} = 82750-\frac{1978^2}{5} \\\\= 45007.2[/tex]

The estimate b of the slope β is the ratio of [tex]S_x_y[/tex] and [tex]S_x_x[/tex]

[tex]b = \frac{S_x_y}{S_x_x}[/tex]

[tex]\frac{64386}{96080} = 0.67[/tex]

The mean is the sum of all value divide by number of values

[tex]\bar x= \frac{\sum x_i}{n} \\\\= \frac{100+200+300+400+490}{5} \\\\= \frac{1490}{5} = 298[/tex]

[tex]\bar y= \frac{\sum y_i}{n} \\\\= \frac{237+350+419+465+507}{5} \\\\= \frac{1978}{5} = 395.6[/tex]

The estimate a of the intercept is

[tex]a = \bar y - b \bar x[/tex]

[tex]= 395.6 - 0.69 \times 298\\= 195.9[/tex]

General least square equation;

[tex]\bar y = \alpha + \beta x[/tex]

replace alpha by a = 3 and beta by b = 0.67 in general least equation

y = a + bx

195.9 + 0.67x

b)

Scatter plot is shown in the attached file

x is on the horizontal axis

y is n the vertical axis

The degree of freedom of regression is 1

because we use one variable s predictor variable

[tex]d_f_R = 1[/tex]

The degree of freedom of error is the sample size n decrease by 2

[tex]d_f_E =n-2= 5 - 2=3[/tex]

Total df is equal to the sum  of seperate degree of freedom dfR  and dfE

total df = 1 +3  4

[tex]SSR = \frac{(S_x_y)^2}{S_x_x} = \frac{64386^2}{96080} \\\\= 43146.9296[/tex]

Total SS =Syy= 45007.2

SSE + Total SS = SSR

= 45007.2 - 43146.9296

= 1860.2705

What is the volume of this triangular prism?:HURRY:

Answers

Answer:

195 m3

Step-by-step explanation:

Answer:195 m^3

Step-by-step explanation:

volume of triangular prism=base area x height

height=h=5m

Base area=0.5 x 13 x 6

Base area=39

Volume of triangular prism=39 x 5

Volume of triangular prism=195m^3

The owner of an automobile repair shop studied the waiting times for customers who arrive at the shop for an oil change. The following data with waiting times in minutes were collected over a one-month period. 2 5 10 12 4 4 5 17 11 8 9 8 12 21 6 8 7 13 18 3 (a) Develop a frequency distribution using classes of 0-4, 5-9, 10-14, 15-19, and 20-24.

Answers

Answer:

Step-by-step explanation:

Developing a frequency distribution of the ungrouped data simply means creating a structure (table) for the data. It is a method of converting an ungrouped data into a grouped data for proper analysis of the data.

The table will contain the values, their frequency (this means the number of times individual values occurs based on the classes) and the tally.

Check the attachment for the table.

Given the ungrouped data 2 5 10 12 4 4 5 17 11 8 9 8 12 21 6 8 7 13 18 3. The total number of data collected is 20. From the frequency distribution table, it can be seen that the total frequency is 20 which shows that all the values have been catered for.

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Help Please! I will mark Brainliest and you will get 15 points! How did the lack of strong armies affect Greek city-states in this period? Which of the following best fits in the list below?Characteristics of Totalitarianism: Based upon one-party rule Relies on strong leadership Does not include individual rightsa) promotes capitalismb)uses censorship and secret policec)condemns warfare and promotes collective securityd)calls for democratically elected representatives Which one of the following is NOT considered a major cause of WWI? *4 pointsC. internal dissentA. ImpressionismB. the growth of nationalism the product of 16 and the variable of p Saudi Arabia, Qatar, and the United Arab Emirates have developed steel and petrochemical industries to _____. If 3x and 71/x are two prime numbers V x equivalent to R, then number of x so that 3x + 71/x = 10 is/ are What is the equation of the line tangent to the function y(x) = 2x +34 at the point (-2,2)? need help please!!! and explaining how On January 1, Year 1, the Hoverman Corporation made amendments to its defined benefit pension plan, resulting in $150,000 of past service costs. The plan has 100 active employees with an average expected remaining working life of 10 years. There currently are no retirees under the plan. Required: Determine the amount of past service costs to be amortized in Year 1 and subsequent years under (a) IFRS and (b) U.S. GAAP. 2. Love has consistently been a major theme in music, , and iterature. In your opinion, do poetry and love share a special connection? What does this poem teach us about love Use the poster below to answer the question below. The German text translates to, "This is what this person suffering from hereditary defects costs the Community of Germans during his lifetime. Fellow Citizen, that is your money, too."Which of the following ideas is supported by this propaganda poster? The government must sponsor more programs for those with special needs. Care for those with special needs is worth the extra cost. It costs too much money to provide for those with special needs. The number of special needs care providers in Germany must increase. Find the value c that completes the square for x^2-8x+c Math question down below After a retiring from a successful business career, you would like to make a donation to your university. This donation will go into the schools endowment pool and the returns generated from the donation will support the salary of a new professor in the business school on a perpetual basis. The university expects to earn returns of 5.5% on its endowment pool. You may assume that any distributions to support the salary will be made annually.Part A) You can make a donation today (t=0) in the amount of $2,500,000. The first cash flow distribution from your donation to cover the professor's salary will take place in one year (at t=1). Which of the following is closest to the annual salary payment that can be made as a result of your donation? A. $2,500,000 B. $454,545 C. $100,000 D. $137,500 Part B) After further discussions, the university determines that the employment agreement with the new professor will call for annual salary increases of 2%. Given this new requirement, and assuming the first salary distribution will still occur one year from today, what is the starting salary (at t=1) that can be supported with your $2,500,000 donation? A. $50,000 B. $187,500C. $140,250D. $87,500 Please helpfind the area of a trapezoid base 1 measures 20 ft base 2 messages 10 ft height measures 3 ft Express your answer in scientific notation. 1.4 x 10^9 - 8.6 x 10^8 A bakery sold 32 bagels in the first hour of business and 39 bagels in the second hour. If the bakery had 241 bagels to start with, how many bagels were left after the second hour. Question 16 (1 point)A car depreciates at a rate of 6%. Lisa purchased a car for $23,000. Using theappropriate decay factor how much should it be worth 10 years after Lisapurchased it? Can someone please help me out Why were early rap records economical?