The 3 rd term of an AP is 3 and 11th term is -21, find its first term and common difference.

Answers

Answer 1

Answer:

Step-by-step explanation:

a₃=a-(3-1)d

=a-2d=3⇒equation 1

a₁₁=

=a-10d=11⇒eq 2

by elimination method

eq2-eq1

-8d=8d=-1

substituding in eq1 a=1

hope this helps

plzz mark me brainliest


Related Questions

Select ALL the correct answers.

Natalie buys a new car. In the first month, the odometer on the car records 800 miles. From past experience, she expects to drive 900 miles per month.


Select all the functions that can be used to find the number of miles, f(n), recorded on the odometer after n months.

Answers

Answer:

[tex]\begin{aligned}\bullet\ &f(1)=800;f(n)=f(n-1)+900, \text{for $n\ge 2$}\\ \bullet\ & f(n)=900n-100\end{aligned}[/tex]

Step-by-step explanation:

See attachment for the figure.

Using arithmetic sequence with a first term of 800 and a common difference of 900. The general form for such a sequence is given by,

an = a1 +d(n -1)

an = 800 +900(n -1) = 900n -100

If n is the function, this can be written as,

f(n) = 900n -100

When considered as a recursive relation, we find the first term is still 800:

f(1) = 800

and that each term is 900 more than the previous one:

f(n) = f(n-1) +900 . . . . for n ≥ 2

You need to consider that huge numbers of the different answer decisions are debasements of either of these structures, so you should look at them cautiously.

A survey asked 247 students what their favorite subject was. Of those students, there were 115 boys. One hundred two students answered that their favorite subject was Social Studies, 50 of which were boys. Forty girls answered that their favorite subject was Math while 25 boys answered English. The marginal frequency of students answering science is 0.1214. The probability that a student who answered science was a girl is 0.667.

5, 10, 20, 25, 30, 45, 50, 52, 70
Use the numbers above to complete a two-way frequency table. Numbers may be used more than once or not at all

Answers

Answer:

so what was the answer?

Step-by-step explanation:

The figure shows two regular pentagons. What is the perimeter of the larger pentagon?

A. 5n

B. 10n

C. 15n

D. 60n

Answers

Answer:

As shown in picture,

perimeter of inside pentagon: p1 = n + n + n + n + n = 5n

ratio between inside pentagon and outside pentagon: r = 6/(6 + 6) = 1/2

=> perimeter of outside pentagon: p2 = 2 x p1 = 2 x 5n = 10n

=> Option B is correct

Hope this helps!

:)

Which property of real numbers is shown below?

3 + ((-5) + 6) = (3 + (-5)) + 6

Answers

Answer:

Associative property

PLZPLZPLZPLZ help me!

Answers

Answer:

12 square units.

Step-by-step explanation:

We must find the area of each shape and add together. The area of a triangle is 1/2 base times height. The smaller triangles area is 2 and the larger triangle's area is 6. The area of the square is 4... so when all added together, we have 12.

what will the height of the new cones be?

Answers

Answer:

1.5

Step-by-step explanation:

You have the same volume which is 24pi. You divide 24 by 16 and get 1.5

4. There are 10 cheerleading squads performing in a competition. The
order of the performances is determined at random. What is the
probability that your squad performs first and your friend's squad performs
second?​

Answers

Answer:

0.011 or 1/90

Step-by-step explanation:

Since the order of the performances is determined at random the probability of each squad is constant that 1/10

The probability of your squad is 1/10

Given that the first selected was yours (1/10) nine squads are left . Therefore the probability of your friends squad is 1/9.

Hence  the probability that your squad performs first and your friend's squad performs second is (1/10 * 1/9) 1/90 or 0.011

help me!! show work pls

Answers

Answer:

17.2

Step-by-step explanation:

We need to use the law of sines

sin A           sin B

------------ = ----------

a                   b

sin 25           sin 27

------------ = ----------

16                   x

Using cross products

x sin 25 = 16 sin 27

Divide each side by sin 25

x = 16 sin 27 / sin 25

x =17.18772863

Rounding to the nearest tenth

x = 17.2

Write the number five million four thousand three hundred in standard form.

Answers

Answer:

5,004,300

Step-by-step explanation:

Which of the following functions has:

Domain: LaTeX: \left(-\infty,\:\infty\right)( − ∞ , ∞ )

Range: [LaTeX: 0,\:\infty0 , ∞ )

Answers

Answer:

We can't see the functions. We also can read the domain or the range. Personal suggestion is to write the domain  and range (-infity, 0) but substitute in what applies to your situation.

Step-by-step explanation:

Correct answers only please!

Quincy has $6,000 in a savings account that earns 4% interest, compounded annually.

To the nearest cent, how much interest will he earn in 5 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

A = $ 7,299.92

A = P + I where

P (principal) = $ 6,000.00

I (interest) = $ 1,299.92

Step-by-step explanation:

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

What’s the area of the shape

Answers

The answer is 37.68 because you first find the area of the circle which is pie r^2 or 50.24 then you find the fourth of that which is 12.56 so you subtract 12.56 from 50.24 to get the answer of 37.68

Answer:

the answer is 37.68

i hope that helps

A snail creeks up a plank 8 cm a day and slides back down 15 millimeters each night. Write a numerical pattern showing the number of millimeters where the snail changes direction. On which day would the snail have moved 275 millimeters from its starting point?

Answers

Answer: The 5th day

Step-by-step explanation:

Total daily movement :

Upward movement = 8cm

Downward movement = 15mm

Converting the upward movement to millimeters ; 1 centimeter = 10 millimeters

Upward movement = 8 × 10 = 80 millimeters

Daily movement can beodelled using the equation :

Distance = (80mm - 15mm)h

Where h is the number of days

Movement per day = 65mm

To move a distance of 275mm from its starting position:

Number of days = 275mm/ 65mm

Number of days = 4.23

Therefore the snail would have moved 275 millimeters from its starting point on the 5th day

6+0 plz help me so hard​

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Find the volume of this rectangular prism.

Answers

Answer:

200 units³

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

V = lwh

where l is the length, w is the width, and h is the height

Substitute with the given values:

V = lwh

V = (10)(4)(5)

Multiply:

V = (10)(4)(5)

V = (40)(5)

V = 200

Therefore, the volume of the rectangular prism is 200 cubic units.

Paul creates a CD by mixing together
songs that are either 3 minutes or
4 minutes long. His CD has 22 songs
and is 78 minutes long. How many
three-minute and how many four-minute
songs did he use?

Answers

Answer:

Paul created 10 three minutes songs and 12 four minutes songs.

Step-by-step explanation:

The song he created on his CD is either 3 minutes long or 4 minutes long.

His CD has 22 songs and is 78 minutes. The number of 3 minutes and 4 minutes song can be calculated below.

Let

a = number of 3 minutes song

b = number of 4 minutes song

number of song = 22

a + b = 22............(i)

3a + 4b = 78.........(ii)

Make a subject of the formula in equation (i)

a = 22 - b

Insert the value of a in equation (ii)

3(22 - b) + 4b = 78

66 - 3b + 4b = 78

b = 78 - 66

b = 12

insert the value of b in equation (i)

a + b = 22

a + 12 = 22

a = 22 - 12

a = 10

Paul created 10 three minutes songs and 12 four minutes songs.

*WILL GIVE BRAINLIEST*
annabelle collected data on the favorite superhero of the students in her class. the table shows the relative frequencies of rows for the data collected:
*picture attached above*

based on the data, which superhero is most likely to be the favorite?

a.) superman
b.) spiderman
c.) batman
d.) wonder woman

Answers

Answer:

B - Spider-Man

Step-by-step explanation:

Is anyone able to help me with this question:
A rectangle with sides 4 cm and 6 cm has the same diagonal as a square.
What is the length of the side of the square.
Give your answer as a surd.

Answers

Answer:

not sure but this info might help you.

Step-by-step explanation:

the diagonal in the rectangle splits it into two right angled triangles, hence the hypotenuse is the diagonal.

once you find the measurement, we all know that a square has all sides equal and the diagonal splits it into 2 equilateral triangles. so, the side of the square =the diagonal's measurement.

A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. How many different combinations of 5 friends could possibly receive the
tickets?
A
13
B. 40
56
D.
64
Reset
Next

Answers

Answer:

D. 56

Step-by-step explanation:

8!/3!x5!= 56

In a cartons of bulbs, 90% contain no defective bulbs, 5% contain one defective bulb, 3% contain two defective bulbs, and 2% contain three defective bulbs. Find the mean and standard deviation for the number of defective bulbs.

Answers

Answer:

Mean, E(x) = 0.17

Variance, V(x) = 0.12

Step-by-step explanation:

90% contains no defective bulbs, P(X=0) = 0.9

5% contain one defective bulbs, P(X=1) = 0.05

3% contain two defective bulbs, P(X=2) = 0.03

2% contain three defective bulbs, P(X=3) = 0.02

The mean for the number of defective bulbs:

[tex]E(X) = \sum XP(X)\\E(X) = (0*0.9) + (1*0.05) + (2*0.03) + (3* 0.02)\\E(X) = 0 + 0.05 + 0.06 + 0.06\\E(X) = 0.17[/tex]

Variance for the defective bulbs:

[tex]V(x) = (\sum x^{2}P(x) ) - \mu^2[/tex]

[tex]\sum x^{2}P(x) = (0^2*0.9) + (1^2*0.05) + (2^2*0.03) + (3^2* 0.02)\\\sum x^{2}P(x) = 0.05 + 0.12 + 0.12\\\sum x^{2}P(x) = 0.29[/tex]

V(x) = 0.29 - 0.17

V(x) = 0.12

Does anyone think your life is a video game?

Answers

Answer:Yes!

Step-by-step explanation:

Answer:

Yes i really do because i love video games i play Roblox and that i always play and that i feel like i am in Royale High For Real

Step-by-step explanation:

Royale High is my favorite game

520 is 65% of what number?

Answers

65% * x = 520
65/100 * x = 520
x= 520*(100/65)
x=800

Answer is 800

Please I really need the answer for this

Answers

Answer:

The third option

Step-by-step explanation:

GPE = mgh

Since the baseball has a larger mass as compared to the ping pong ball and is 50 feet off the ground which means that it has the highest height, the GPE will be the greatest

mitchell drew a card from a standard deck of playing cards. what is the probability that he drew a queen, geven that the card was red

Answers

Answer:

2/52

Step-by-step explanation:

because there are only two red Queens and there is 52 cards in a deck

Answer:

2/52

Step-by-step explanation:

In a deck of cards, there are 2 red queens and in total 52 cards.

*Please give Brainliest to the person on top because they answered first! :)

which equation is the slop formula​

Answers

Answer:

y=mx+b

Step-by-step explanation:

m is the slope

b is the y-intercept

Don't believe me? Ask Google!

Here are the 30 best lifetime baseball batting averages of all time, arranged in order from lowest to highest:
0.329, 0.330, 0.331, 0.331, 0.333,0.333,0.333, 0.334, 0.334, 0.334, 0.336,
0.337, 0.338, 0.338, 0.338, 0.340, 0.340, 0.341, 0.341, 0.342, 0.342, 0.342,
0.344, 0.344, 0.345, 0.346, 0.349, 0.356, 0.358, 0.366

A stemplot is one way to display these batting averages, as shown below. In
this type of display, the entry 0.36|6 denotes one occurrence of the batting
average______.

0.32|9
0.33|01133344467888
0.34|1001122244569
0.35|168
0.36|6

A. 0.366
B. 0.3606
C. 0.360
D. 0.336

Answers

Answer:

D

Step-by-step explanation:

0.36|6=0.366

The solution is : The given statement is False.

What is histogram?

A histogram is an approximate representation of the distribution of numerical data. A histogram is a graph that shows the frequency of numerical data using rectangles. The height of a rectangle (the vertical axis) represents the distribution frequency of a variable (the amount, or how often that variable appears).

here, we have,

We are given a  the 30 data points which represent the best lifetime baseball batting averages of all time, arranged in order from lowest to highest.

As we know that we could obtain a frequency table from the following set of data points and histogram is a good way to represent the frequency data. ( i.e. a histogram is only used to plot the frequency of score occurrences in a continuous data set that has been divided into classes, called bins ).

Hence, the given statement,

A frequency table for these data can best be graphically displayed as a bar graph. That is, it should not be displayed as a histogram is a FALSE STATEMENT.

To learn more on histogram click:

brainly.com/question/17145899

#SPJ7

I need help with question 8 please

Answers

Answer:

38

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

24, 29, 34, 36, 40, 49, 90, 94

Median: 36+40/2=76/2=38

need help ASAP!!!! needs explanation as well

Answers

Answer:

1. The rocket was launched from a height of 180 feet.

=> Valid because at time = 0 sec, height = 180 feet (as shown in table)

2.The maximum height of the rocket occurred 3 seconds after launch.

=> Valid because at time = 3 sec, height = 324 feet (greatest value in second row of table).

3.The rocket was in the air approximately 6 sec before hitting ground.

=> Not valid because the time in table in about 7 sec (from 0 to 7), but all of the heights are greater than 0 (the rocket has not hit the ground yet).

4. The rocket was above 300 feet for approximately 2 seconds.

=> Valid because from sec 2 to sec 4: the height is greater than 300 (308, 324, and 308)

=> Option 3 is not valid.

Hope this helps!

:)

last question, please help me.

Answers

Answer:

[(20×20)×26]/3 = 3467cm³

Step-by-step explanation:

The volum of a Pyramid is equal to:

Ab × h / 3

Ab = Area of the base = 20 × 20 = 400 cm²

h = height = 26 cm

so, yoi have: (400 × 26) / 3

May 26- 1
May 27- 6
May 28- 39
May 30- 141
May 31- 169
June 1- 251

Please look at the following numbers listed above and determine a relationship:
Are they exponential or linear? Why?



Answers

Answer:

  neither exponential nor linear

Step-by-step explanation:

A linear relationship will show a common difference between adjacent value. Here, the first differences between the first three values are 5 and 33. They are not the same, so the relation is not linear.

__

An exponential relationship will show first differences that are continuously increasing or decreasing by increasing or decreasing amounts (respectively).

As we showed, the difference between May 28 and May 27 is 33. This is more than the previous difference. However, the difference between May 30 and May 31 is only 28, which is less than a previous difference.

The relation is not exponential.

__

A graph points up the non-linearity of the relation.

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