What is the 74th term of this arithmetic sequence?
-25, -21, -17, -13,-9, -5,...

Answers

Answer 1

Answer:

267

Step-by-step explanation:

let's say that

f(0)=-25

so in the sequence we are adding 4

so f(1)=-25+4=-21

and f(2)=f(1)+4=-25+4+4=-25 + 4(2)

so if you continue you will notice that

f(n)=-25+4(n)

so our question is

What is the 74th term of this arithmetic sequence?

so if f(0) is our first term, the 74th will be f(73)

so we can apply our formula

f(73)=-25+4(73)

=-25+292

=267


Related Questions

in the standard (x,y) coordinate plane, what is the slope of the line 4x+7y=9?​

Answers

Answer: -4/7

Step-by-step explanation:

To find the slope, let's change the equation to slope-intercept form.

[tex]4x+7y=9[/tex]              [subtract both sides by 4x]

[tex]7y=-4x+9[/tex]           [divide both sides by 7]

[tex]y=-\frac{4}{7}x+\frac{9}{7}[/tex]

Now, we know the slope is -4/7.

help? 5/12 + 5/8

(spam cause i need 20 characters)

Answers

Answer:

1 1/24

Step-by-step explanation:

5/12 + 5/8

We need a common denominator of 24

Convert the first number to have a denominator of 24

5/12 *2/2 = 10/24

Convert the second number to have a denominator of 24

5/8*3/3 = 15/24

Add the two converted numbers together

10/24 + 15/24

25/24

Change from an improper fraction to a mixed number

24/24 + 1/24

1 1/24

Answer:

25/24

Step-by-step explanation:

5/12 * 1 = 5/12

1 = 2/2

5/12 * 1 = (5/12) * (2/2) = (5*2)/(12*2) = 10/24

3/3 = 1

5/8 * 1 = (5/8) * (3/3) = (5*3)/(8*3) = 15/24

then:

(5/12) + (5/8) = (10/24) + (15/24) = (10+15) / 24 = 25/24

What are prime numbers ? And a list of examples ?

Answers

Answer:

the number which is divisible only by itself and 1 is called prime number. For example; 2,3, 5, 7, 11 and others.

Choose the correlation coefficient that would best fit the data in the scatter plot below."
600
500 -
Max distance to read sign
400
300 -
15
25
35
45
75
85
55 65
Driver Age (years)
41
78
98
no correlation
-78
35

Answers

I have no idea sorry died

James had 42 dollars. He bought his sister a gift that costs x dollars. How much money does james have now, in terms of x

Answers

Answer:

42-x = James' money now

Step-by-step explanation:

James has "42-x dollars" after purchasing a gift for his sister.

Expression for money left to James to be determine if he spend x dollars from $42.

What is arithmetic?

Arithmetic is branch of math that teach how  a word statement can be transform to mathematical expression.

Here, James spend x dollars to bought his sister a gift from $42.
Now, James has only 42-x dollars left in his pocket.

Thus, James has '42-x' dollars after purchasing a gift for his sister.

Learn more about arithmetic here:
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if x-2 is a factor of x^2n+1​

Answers

Answer:

No the factor of x^2 + 1 = n x^2 + 1

Step-by-step explanation:

Select the correct answer.
Which expression is equivalent to the given expression?
(3m2m)
mn 4
A
27 m5
n
9m5
n
B.
C. 27m4n
D.
9m4n

Answers

Answer:

D 9m 4m because 9 divided by 2 is 3 and 4 divided by 2 is 2 and that's us you answer.

write 14,000,000,000 in powers of 10

Answers

Answer:

Step-by-step explanation:

1.4 x 10^10

What is 6 5/7 as a improper fraction What is 6 5/7 as a improper fraction?

Answers

Answer:

47/7

Step-by-step explanation:

6 5/7

=6×7+5/7

=47/7

The value of improper fraction is, 47/7.

What is Fraction?

The number is expressed as a quotient in which the numerator is divided by the denominator is called fraction.

We have to given that;

The fraction is,

⇒ 6 5/7

Now, We can write the improper fraction as;

⇒ 6 5/7

⇒ (6×7 + 5) / 7

⇒ 47 / 7

Learn more about the fraction visit:

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HI this is problably the hardest question for me to do in my head without Alexa or google but here's my question " I get money for my grades I have 7 classes, and each A+ gives me 10 dollars (lets just say I'm a perfect student and get A's always) but I only get money on my final grade, every final grade appears every 9 weeks" so here's the thing how much money can I get before the year ends?

Answers

9 x 10 x 7 = 630

In a perfect world, you would earn $630

which function is the inverse of f(x) equals negative 5X -4

Answers

Answer:

f inverse x = -x+4/5

Step-by-step explanation:

Answer:

f^-1(x) = -1/5 x - 4/5

Step-by-step explanation:

f(x) = -5x - 4

Replace f(x) with y.

y = -5x - 4

Switch x and y.

x = -5y - 4

Solve for y.

5y = -x - 4

y = -1/5 x - 4/5

Replace y with f^-1(x).

f^-1(x) = -1/5 x - 4/5

Write the following numbers in Scientific Notation.

1. The current United States national debt is about $26.5 trillion.



2. The speed of light is about 299,000,000 meters/second.



3. The diameter of an atom is approximately 0.0000000001 meters.



4. Suppose you want to download a file that is 2.6 gigabytes. If you have an average download speed of 30 megabytes/second, how long will it take to download the file?

Answers

Answer:

29.9 to the 6th power for number 2

0.1 to the -9 th power

i think lol

its better than ?

Step-by-step explanation:

Help the question is in this picture

Answers

Answer: C

Step-by-step explanation:

Answer:

7x^2+2x+3

Step-by-step explanation:

Add all the like terms

Please help, "What if you magnified the image of a cluster fly (9 millimeters) by 9*10 exponent 3? What would the length appear to be?" Please hElP

Answers

Answer:

9000

Step-by-step explanation:

This is written in scientific notation. When you have a positive exponent (x³), You move the decimal point to the right as many times as the exponent says. Since the exponent is +3, move the decimal to the right 3 spaces:

[tex]9.0(0)\\\\90.0(1)\\\\900.0(2)\\\\9000.0(3)[/tex]

So:

[tex]9*10^3=9000[/tex]

:Done

*Magnifying means that the image will be bigger. So, the new number has to be greater than 9. Since 9000>9, this is true.

Alondra deposits 1/2 of the money she earns from working at her uncle’s mechanic shop and 3/4 of her baby-sitting money into her savings account. In one month she earned $250 at her uncle’s shop and received $80 for baby-sitting. How much did she deposit in her savings account that month? Group of answer choices need answer quick

Answers

Answer:

$185

Step-by-step explanation:

First, find the amount that she deposited from her uncle's shop:

250(1/2)

= 125

Then, find how much she deposited from baby sitting:

80(3/4)

= 60

Add these 2 values up:

125 + 60

= 185

So, she deposited $185 that month

she would deposit $185

Standard Form When a polynomial is written in order from the ________________ exponent to the ________________exponent

Answers

Answer:

largest

Smallest

Step-by-step explanation:

what is 50000000 divided by 5000000

Answers

Answer:

10

Step-by-step explanation:

because if you divide it by it self that is what it is

Answer:

10

Step-by-step explanation:

50 million divided by 5 million would be 10. what you do is if the 5 is the same then it is one, after that since 50 million has 1 more zero then 5 million then you add a zero to the right of one. Therefore the answer is 10.

hope I helped.

How to solve this question ?

Answers

Step-by-step explanation:

eight times the difference of 2 and a number would be 8 × (2-x)

Write an equation of the line with a slope of m= 2 and passing through the
points (-2,3).

Answers

Answer:

Step-by-step explanation:

y - 3 = 2(x + 2)

y - 3 = 2x + 4

y = 2x + 7

1. The interior angles of a triangle have measures of 55°, 25°, and x
What is x?

Answers

x=100 hope this helps

Classify the following triangle as acute, obtuse, or right.
30°
249
126
A. Acute
B. Obtuse
C. Right
O D. None of these

Answers

Answer:obtuse

Step-by-step explanation:

The following data represent the pulse rates (beats per minute) of nine students enrolled in a statistics course. Treat the nine students as a population. Complete parts (a) through (c). Student Pulse?
Perpectual Bempah 64?
Megan Brooks 77?
Jeff Honeycutt 89?
Clarice Jefferson 69?
Crystal Kurtenbach 89?
Janette Lantka 65?
Kevin McCarthy 88?
Tammy Ohm 69?
Kathy Wojdya 87?
A) Determine the population mean pulse. The population mean pulse is approximately nothing beats per minute.
B) Determine the sample mean pulse of the following two simple random samples of size 3. Sample 1: StartSet Janette, Clarice, Megan EndSet, Sample 2: StartSet Perpectual, Clarice, Megan EndSet The mean pulse of sample 1 is approximately nothing beats per minute. The mean pulse of sample 2, is approximately nothing beats per minute.
C) Determine if the means of samples 1 and 2 overestimate, underestimate, or are equal to the population mean. The mean pulse rate of sample 1 (underestimates/ is equal to/ overestimates) the population mean. The mean pulse rate of sample 2 (is equal to/ underestimates/ or overestimates) the population mean.

Answers

Answer:

abcdefg

Step-by-step explanation:

CAN SOMBODY PLEASE HELP :( ? ILL GIVE BRAINLIEST!! *EXTRA POINTS* !! HELP MEEE ASAP.

Answers

Answer:

juan should be 32

paul=8

Samantha= 16

juan=32

Answer: 2

Step by step:

You know that Paul is 8 and Samantha is half of Paul then it would be 4 and Juan’s age is half of Samantha then it would be 2.

Your math test scores are 76, 85, 92, and 63. What is the lowest score you can earn on the next test and still achieve an average of at least 75?

Answers

Hey there! I'm happy to help!

We have 5 test scores that give us an average of at least 75.

76, 85, 92, 63, x

We add these all up and divide by 5 to get 75.

Let's go backwards to find x.

We multiply by 5.

75(5)=375

We subtract all of the numbers except for x.

375-76-85-92-63=59

So, you need to earn at least 59 on the next test to achieve an average of at least 75.

Have a wonderful day! :D

4. Thoughtful Politicians [This problem setting is due to Prof. James Norris of Cambridge University.] In a group of 100 politicians, 40 are in Party I and 60 are in Party II. Members of Party I are incapable of changing their minds about anything. Members of Party II change their minds completely randomly every day, independently of all others and also independently of all evidence. Tomorrow, the politicians are going to vote on Proposition 88. Here is a summary of their opinions today. Of the 40 members in Party I, 25 are in favor of Prop 88 and 15 are against. Of the 60 members in Party II, 10 are in favor and 50 are against. Assume that each member in Party II changes their mind based on the toss of a coin: if it lands heads they switch to the opposite opinion and if it lands tails they don't change their mind. a) What is the distribution of the number of members in Party II who will favor Prop 88 tomorrow

Answers

Answer:

Step-by-step explanation:

The focus is on Party 2, because as already said, Party 1 members NEVER change their minds on anything!

There are 60 politicians in Party 2. They change their minds completely-randomly every day.

Tomorrow, the politicians will vote on a proposition: Proposition 88, but today, 10 are in favor of it while 50 are against it.

Each member changes their mind based on the toss of a coin (a fair/unbiased coin; since it was not stated that the coin is biased). A fair coin has a 0.5 probability of landing HEADS and same 0.5 probability of landing TAILS.

What is the distribution of the number of members in Party II who will favor Prop 88 tomorrow?

The number of figures in the distribution will depend on the number of times the coin is tossed, between today and tomorrow.

KEY: Assuming the coin is tossed 12 times between today and tomorrow AND assuming that half of the time - 6 times - it landed HEADS and half of the time, TAILS (Head and Tail simultaneously).

Beginning with HEADS, the distribution of the number of members who will favor the proposition tomorrow, is:

50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10

Landon babysits and works part time at the water park over the summer. One week, he babysat for 3 hours and worked at the water park for 10 hours and made $109. The next week he babysat for 8 hours and worked at the water park for 12 hours and made $177. How much does Landon make per hour at each job?

Answers

Answer:

Babysitting =$8.7

Water park =$8.7

Step-by-step explanation:

In 1 week

Babysitting =3 hrs

Water park = 10 hrs

Total =$ 109

In week 2

Babysitting = 8 hrs

Water park = 12 hrs

Total= $ 177

Both weeks

Babysitting =11 hrs

Water park =22 hrs

Total=$286

33 hrs = $ 286

11 hrs =?

11×286÷33=$95.3

33 hrs = $286

22 hrs = ?

22×286÷33=190.7

Babysitting she got $95.3 in both weeks

Water park she got $190.7(rounded offf)in both weeks

11 hrs = $95.3

1 hr = ?

1×95.3÷11=8.7 (rounded off )

22 hrs = $ 190.7

1 hr = ?

1×190.7÷22= 8.7( rounded off)

x/2 - 4=-16 wha would x equal

Answers

Answer: -24

Step-by-step explanation:

x/2= -16+4

x/2= -12

x= -12 x 2

x= -24

Answer:

x = -24

Step-by-step explanation:

Add the same term to both sides of the equation

Simplify

Multiply all terms by the same value to eliminate fraction denominators

Simplify

PLSSSS HELPP ASSPPPP!!!!


A large pizza is $18 and a small pizza is $12. Each topping is.50.
How my would it cost for a large pizza with 5 toppings> *

Answers

Answer:

$20.50

Step-by-step explanation:

The pizza itself is $18. If you wanted 5 toppings you would do .50 multiplied by 5. That would give you a total of $2.50 for the 5 toppings. 18 plus 2.50 is 20.50.

Answer:

A large pizza with 5 toppings will be $20.50

A small pizza with 5 toppings will be $14.50

5 toppings would cost $2.50

Step-by-step explanation:

.50x5=2.50

18.00x2.50=20.50

12.00+2.50=14.50

I hoped this helped

The manager of a movie theater randomly surveyed 50 people who entered the movie theater on Friday. The manager asked about the
type of movie each person preferred. The results of the survey are shown in the table.
Survey Results
Type of Movie Number of People
Horror
12
Comedy
15
Action
17
Drama
6
Based on the results in the table, which statement about a person who will go to this theater next Friday is true?
O A. The person is three times as likely to prefer comedy as horror.
OB. The person is twice as likely to prefer drama as horror.
o C. The person is less likely to prefer horror or drama than action.
D. The person is more likely to prefer horror or comedy than action or drama.

Answers

Answer:

D.

Step-by-step explanation:

Horror (12) + Comedy (15) = 27

Action(17) + Drama(6) = 23

27 > 23

The statement that is true is a person who will go to this theatre next Friday is more likely to prefer horror or comedy than action or drama.

What is Probability?

The probability helps us to know the chances of an event occurring.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

As is given that the total number of people surveyed is 50, while the table suggests the preferences of the people about the movie.

Therefore, if take the probability of a person watching a horror or comedy movie it will be,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

[tex]\rm Probability=\dfrac{\text{Number of people preferring Horror or comedy}}{\text{Total Number of people surveyed}}\\\\Probability = \dfrac{12+15}{50} = 0.54[/tex]

The probability of a person watching an action or drama movie it will be,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

[tex]\rm Probability=\dfrac{\text{Number of people preferring Action or drama}}{\text{Total Number of people surveyed}}\\\\Probability = \dfrac{17+6}{50} = 0.46[/tex]

Since the probability of a person watching a horror or comedy movie is more, therefore, a person who will go to this theatre next Friday is more likely to prefer horror or comedy than action or drama.

Thus, the statement that is true is a person who will go to this theatre next Friday is more likely to prefer horror or comedy than action or drama.

Learn more about Probability:

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A batch of 400 containers for frozen orange juice contains 5 that are defective. Two are selected, at random, without replacement from the batch. 26. What is the probability that the second one selected is defective given that the first one was defective? HINT: Note that you are only calculating a probability for the second draw conditional on what happened in the first draw. 27. What is the probability that both are acceptable? 28. If three are selected without replacement, what is the probability that all three are defective?

Answers

Answer:

0.0100250

0.0001566

0.0000009445555

Step-by-step explanation:

Given the following :

Total number of containers = 400

Number of defective oranges = 5

2 are randomly selected without replacement :

A.) What is the probability that the second one selected is defective given that the first one was defective?

Since selection is without replacement and given that the first pick is defective ; number of defective oranges left = 4 ; total oranges left in container = (400 - 1) = 399

Hence,

Probability = (required outcome / Total possible outcomes)

P(2nd defective given 1st is defective) = 4 / 399

27. What is the probability that both are acceptable?

This means probability that both picks aren't defective.

Ist pick = 1 - P(defective) = (1 - (395/400) = 0.0125

2nd pick = 1 - P(defective) 1 - (394/399) = 0.0125313

.Hence, 0.0125 × 0.0125313 = 0.0001566

28. If three are selected without replacement, what is the probability that all three are defective?

1st pick = 5 / 400 = 0.0125

2nd pick = 4 / 399 = 0.0100250

3rd pick = 3 / 398 = 0.0075376

Hence, (0.0125 × 0.0100250 × 0.0075376) = 0.0000009445555

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Keshav write the multiples of 7 on his paper, but his sister accidentally erased some of them. Determine what multiple is missing. 1 , 14, 21 , 28, ____, 42 Someone plz help me with this problem: An elevator ascends from rest with an acceleration of 0.6 ms^2 before slowing down with a decelleration of 0.8 ms^2 for the next stop. The total time taken is 10 seconds. Find the distance between the stops. The answer is 17.1 but I dont understand how to get it . Dont answer if you dont know or I will report you. The density of a certain material is such that it weighs 7 pounds for every 5.5 cups of volume. Express this density in kilograms per pint. Round your answer to the nearest hundredth. Which question can help a writer analyze a prompt and develop a claim for an argumentative essay?O Does the conclusion restate the claim?O What is the main purpose of the essay?O is supporting evidence included?O is the claim clearly stated? Which sentence is the thesis statement school uniforms Ela2A lake covers a surface area of about 30,000 square miles.How can you show the estimated area of the lake as a whole number multiplied by a power of ten?Part 1 out of 4What are you asked to find?You need to showas a whole number multiplied by a power of ten. CheckNextLoop 3. Standard deviation is ________. a mean of squared differences the square root of the variance unit-free the covariance 4. Standard deviation is useful because it ________. provides a measure of deviation from the median has no units and can therefore apply to all data ignores outliers has the same units as the underlying data The function ()=2,708.92(1.12) 12 models the amount of money in Caleb's investment account after years.Caleb says this means that the initial amount in the account was $2,708.92. Is he correct? Why or why not?A: Yes, because 2,708.92 is multiplied by the exponential term.B: Yes, because (0)=2,708.92.C: No, because you need to multiply 2,708.92 to find the initial amount.D: No, because (0) is not 2,708.92. How many planes are shown in the figure?Your answer The area of a square poster is 37 in.2. Find the length of one side of the poster to the nearest tenth of an inch. Consider the functions below.f(x) = -1g(x) =+1Find each of the following, if possible. (If it is not possible, enter NONE.) PLEASE HELP ITS TIMED!!!!!!!!!!! Which of the following macromolecules is matched with its correct role in the cell?Choose 1 answer:Choose 1 answer:(Choice A)ALipid storage of short-term energy(Choice B)BLipid chemical messenger(Choice C)CCarbohydrate key component of cell membrane (lipid bilayer)(Choice D)DNucleic acid chemical messenger Write the decimal expansion for 7/9 How does health insurance make health care more accessible? Which of the following are NOT examples of matter (CHOOSE ALL THAT APPLY)?a tablelightaira flowerheata virus 20 percent of 805 percent is 80 How do you know if an expression is a polynomial ? A ruptured pipe of an offshore oil platform spills oil in a circular pattern whose radius increases at a constant rate of 4 ft/sec. How fast is the area of the spill increasing when the radius of the spillis 100 ft? A) 4007 ft? B) 8007 C) 1007 D) 2007 l The Work in Process Inventory account of a manufacturing company that uses an overhead rate based on direct labor cost has a $6,884 debit balance after all posting is completed. The cost sheet of the one job still in process shows direct material cost of $2,600 and direct labor cost of $1,400. Therefore, the company's overhead application rate is:______a. 111% of direct labor cost.b. 186% of direct labor cost.c. 206% of direct labor cost.d. 49% of direct labor cost.e. 54% of direct labor cost.