the fifth term of an arithmetic sequence is 23 and the 12th is 72. determine the next three terms and general formula​

Answers

Answer 1

Answer:

first three terms are -5 , 2, and 9

Step-by-step explanation:

term(n) = a + (n-1)d

term5 = a+ 4d = 23

term12 = a + 11d = 72

subtract them

7d = 49

d = 7

sub into a+4d = 23

a + 28 = 23

a = -5


Related Questions

Which situation can be modeled by the expression 4 divided 1/3

Answers

4 jar is the correct answer to the question

Answer:

4

Step-by-step explanation:

4/1x 3/1 =12/1=4

Please look at the images below. (I will mark you as Brainliest if you are correct!)

Answers

Answer:

ima say its a that is my lucky guess im sorry if you get it wrong

Teagan was playing Trouble and recorded the number
of times she rolled a 6. During the game, she was
successful 5 times out of the 25 times she tried.
What was the experimental probability of rolling a 6 in
the game? Write your answer in decimal form.

Answers

Answer:

20%

Step-by-step explanation:

Think about it. 100 divided by 25 is four so just multiply 5 times 4 and you got 20. giving you the probability of 20%. Your Welcome! And I'm not a genius it's just simple math.

multiplying and simplify radicals!

if u get it right I’ll give brainliest (show math pls!!!)

I would rlly appreciate it if y’all help me! :)

Answers

Answer:

10√5 - 5√2

or

5(2√5 - √2)

Step-by-step explanation:

Given:

2√5(5 - 5√5)

Required:

Multiply and simplify

Solution:

2√5(5 - 5√5)

Apply distributive property by multiplying each term in the bracket by 2√5

2√5*5 - 2√5*5√5

2*5√5 - 2*5√5*√5

10√5 - 10√25

10√5 - 10*5

10√5 - 50

10√5 - (25*2)

10√5 - 5√2

Or

5(2√5 - √2)

What is the length of PQ to the nearest hundreth place.(use 3.14 for *)
P
135° Q
A
12 in.
a
169.6 in.
56.5 in.
Ob
Ос
84.8 in.
Od
28.3 in.

Answers

Given:

The radius of the circle = 12 in.

The central angle of the intercepted arc PQ = 135 degrees.

To find:

The measure of arc PQ.

Solution:

The length of arc is:

[tex]s=2\pi r\times \dfrac{\theta}{360^\circ}[/tex]

Where, r is the radius and [tex]\theta [/tex] is the central angle.

Substituting [tex]r=12,\pi=3.14,\theta=135^\circ[/tex] in the above formula, we get

[tex]s=2(3.14)(12)\times \dfrac{135^\circ}{360^\circ}[/tex]

[tex]s=75.36\times 0.375[/tex]

[tex]s=28.26[/tex]

[tex]s\approx 28.3[/tex]

The measure of arc PQ is 28.3 in. Therefore, the correct option is (d).

I'm really stuck and need help asap. ​

Answers

a = 8

b = 1/4

c = 1

hope this helped :)

Answer:

ax= 8x, by=1/4y and c=1 try that

HELP WILL GIVE BRAINLIEST!

Answers

Answer:

128 boxes

Step-by-step explanation:

The dimensions of the trunk is 24 in. by 24 in by 48 in

The volume = 24(24)(48) = 27648 cu. in.

The cubed boxes each have a volume of 6(6)(6) = 216 cu. in.

27648/216 = 128 boxes

Given the set of integers 1 − 20 , what is the probability of selecting a number that is divisible by 7 ?

Answers

Answer 1/10=0.1

There are two numbers from 1-20 that are divisible by 7 (7 and 14). 2/20 reduces to 1/10. This can be represented as a decimal (0.1), but it is usually a fraction(1/10).

The probability of selecting a number that is divisible by 7 is [tex]\frac{1}{10}[/tex].

What is probability?

Probability deals with finding out the likelihood of the occurrence of an event.

It measures the chance of an event happening and is equal to the number of favorable events divided by the total number of events.

The value of probability ranges between 0 and 1, where 0 denotes uncertainty and 1 denotes certainty.

Given

Set of integers = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20

The probability of selecting a number that is divisible by 7 :

We all know the 7 multiples less than 20 : 7, 14

There are 2 numbers that are divisible by 7 in the set of integers 1 - 20

Therefore, Number of favorable outcomes n(E) = 2

Total number favorable outcomes n(S) = 20

Probability is the ratio of number of favorable outcomes to total number of favorable outcomes.

[tex]P(E) = \frac{n(E)}{n(S)}[/tex]

[tex]P(E) = \frac{2}{20} =\frac{1}{10}[/tex]

Hence,

The probability of selecting a number that is divisible by 7 is [tex]\frac{1}{10}[/tex].

Find out more information about probability here

https://brainly.com/question/14395172

#SPJ2

Determine whether (2,-1) and (-4,2) satisfy the inequality 2x-3y>4. Neither (2,-1) nor (-4,2) satisfies the inequality. (-4,2) satisfies the inequality, but (2,-1) does not. (2,-1) satisfies the inequality, but (-4,2) does not. Both (2,-1) and (-4,2) satisfy the inequality.

Answers

Answer:

(2,-1) satisfies the inequality, but (-4,2) does not.

Step-by-step explanation:

To verify if the points satisfy the inequality, we replace then in the inequality, and see if we have a true statement or a false one.

(2,-1)

[tex]x = 2, y = -1[/tex]

So

[tex]2x - 3y > 4[/tex]

[tex]2(2) - 3(-1) > 4[/tex]

[tex]4 + 3 > 7[/tex]

[tex]7 > 4[/tex]

This is a true statement, which means that (2,-1) satisfies the inequality.

(-4,2)

[tex]x = -4, y = 2[/tex]

So

[tex]2x - 3y > 4[/tex]

[tex]2(-4) - 3(2) > 4[/tex]

[tex]-8 - 6 > 7[/tex]

[tex]-14 > 4[/tex]

This is a false statement, so (-4,2) does not satisfy the inequality.

The correct answer is:

(2,-1) satisfies the inequality, but (-4,2) does not.

The box-and-whisker plot shows the
number of miles run per week by the
members of a running club.

What is the range of the data?

Answers

Answer:

18

Step-by-step explanation:

range= max-mini

21-3=18

Ms.schmidt gav her students the list of number shown below

Answers

Step-by-step explanation:

Can you re-do it and send like an example for it THANK YOU SM

Math people please answer me this please fast!!!!!

Answers

Answer:

Wait nvm sorry point A is at (1,-5) so the answer is B

Step-by-step explanation:

Which function represents a quantity growing exponentially?


A y = 2(0.5)

В y = 0.5(2)

C y = 2(0.5)2X

D y = 6)​

Answers

Answer: c

Step-by-step explanation:

You get a single payment loan of $4,400 at an interest rate of 12% the term of the loan is 172 days how much exact interest will you pay

Answers

9514 1404 393

Answer:

  $248.81

Step-by-step explanation:

The interest formula is ...

  I = Prt

where principal P earns interest at annual rate r for t years. Here, t is a fraction of a year: 172/365. The interest is ...

  I = $4400×0.12×172/365 ≈ $248.81

You will pay interest of $248.81.

Answer:

$ 248. 81 is the answer.

Step-by-step explanation:

[tex] \carryonlearning[/tex]

Which of the following values is not changed by moving the center of an ellipse? a or b b c a, b or c

Answers

Answer:

a, b or c

Step-by-step explanation:

I need help with this

Answers

Answer:

cool dude

Step-by-step explanation:

write an equation of the line that passes through the given points (-1,3.5),(1,-0.5), (3,-4.5)

Answers

Yo⁣u ca⁣n downloa⁣d th⁣e answe⁣r her⁣e

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

y = -2x + 1.5

Step-by-step explanation:

line that passes through the given points (-1,3.5),(1,-0.5), (3,-4.5)

slope (m) = (-0.5 - 3.5) / (1 - -1) = -4 / 2 = -2

(y - -4.5) / (x - 3) = -2   ... pass (3,-4.5)

y + 4.5 = -2x +6

y = -2x + 1.5

Frederick's salary varies directly with the hours he works. Last week I earned $ 328.30 and worked 33.5 hours. If he works 35 hours this week, what will be his salary from him?

Answers

Answer:

His salary will be of $343.

Step-by-step explanation:

Frederick's salary varies directly with the hours he works.

This means that this question can be solved by proportions, using a rule of three.

We have that:

For 33.5 hours, he earned $328.30. How much he earns for 35 hours?

33.5 hours - $328.30

35 hours - $x

Applying cross multiplication:

[tex]33.5x = 328.30*35[/tex]

[tex]x = \frac{328.30*35}{33.5}[/tex]

[tex]x = 343[/tex]

His salary will be of $343.

I posted 2 question of this but nobody answered first answer gets brainliest and a thanks and 5 stars and 20 points and do all of them or half no links ASAP guessers will be reported

Answers

Answer:

14. 13.65

15. 7.53

17. 0.0371

18. 0.81

19. 0.864

Here are some answers! Hope this helps

SOLVE

FIND THE AMOUNT OF DISCOUNT WHEN THE ORIGINAL PRICE IS $44.00 AND THE DISCOUNT RATE IS 40%



WILL GUVE BRIANLIST



XXX


X
X
X
X
X
X
X
X
X
X

Answers

Answer:

$26.40

Step-by-step explanation:

40% of 44 is 17.6.

44-17.6 = 26.40

Match the appropriate transformation with the appropriate rule.

Answers

Answer:

i only know one, which is c and 2

Step-by-step explanation:


Suppose the sequence {an} is arithmetic with a3 = 15, d = -3/2, and an=6
Find n.

Answers

Answer:

The value of n = 9th term

Step-by-step explanation:

Given:

In an arithmetic series

a3 = 15

d = -3/2

an = 6

Find:

The value of n

Computation:

In an arithmetic series

An = a + [n - 1]d

where,

An = last term

a = first term

n = number of term

d = common difference

So,

a3 = a + 2d

15 = a + 2(-3/2)

15 = a - 3

a = 18

An = a + [n - 1]d

6 = 18 + [n - 1][-3/2]

-12 = [n-1][-3/2]

8 = n - 1

The value of n = 9th term

7 1/2 x 3/4 = 45/8 =

Answers

Answer:

90/6 is the answer

Step-by-step explanation:

Answer:

15/71

Step-by-step explanation:

(

71

2

x)(3)

4

=

45

8

(

71

2

x)(3)*(8)=(45)*(4)

852x=180

Step 2: Divide both sides by 852.

852x

852

=

180

852

PLZ ANSWER I WILL MARK BRAINLIEST

Answers

Step-by-step explanation:

There is a difference between the numbers that is 6

So...

y=6x+5

Answer:

6x+5

Step-by-step explanation:

1 x 6=6+5=11

A pair of weak earthquakes is modeled by a system of inequalities. One earthquake occurred roughly 20 km east and 14 km north of the center of Columbia, NC. The quake could be felt from 25 km away. A couple days later, another earthquake occurred 8 km west and 3 km north of the center of Columbia and could be felt from 14 km away. If Columbia is located at (0, 0) on a coordinate grid, the system of inequalities represents this scenario.

StartLayout Enlarged left-brace first row (x minus 20) squared + (y minus 14) squared less-than-or-equal-to 625 second row (x + 8) squared + (y minus 3) squared less-than-or-equal-to 196 EndLayout

Which location relative to Columbia felt both earthquakes?

4 km west and 12 km south
6 km west and 4 km north
2 km east and 10 km north
6 km east and 8 km north

Answers

Answer:

2 km east and 10 km north

Step-by-step explanation:

I did the activity and got the right answer.

By evaluating the inequalities, we will see that the correct option is: 2 km east and 10 km north

Which location will feel both earthquakes?

Here we have the inequalities:

(x - 20)^2 + (y - 14)^2 ≤ 625

(x + 8)^2 + (y - 3)^2 ≤ 196

Where, x is the distance due east, and y is the distance due north.

So we just need to find which of the given options makes both inequalities true, for example, for the first one we have:

x = -4

y = -12

Replacing that on the first inequality we get:

(-4 - 20)^2 + (-12 - 14)^2 ≤ 625

1,252 ≤ 625

This is false, so this option is not correct.

Now we just need to check the other options. Particularly for the third we have:

x = 2

y = 10

Replacing that in both inequalities we get:

(2 - 20)^2 + (10 - 14)^2 ≤ 625

340 ≤ 625 (true).

(2 + 8)^2 + (10 - 3)^2 ≤ 196

149 ≤ 196 (true)

So at 2km east and 10km north of Columbia, the two earthquakes can be felt.

If you want to learn more about inequalities, you can read:

https://brainly.com/question/18881247

Find the 12th term of the geometric sequence 5, –25, 125, ...
HELP ASAP WILL NAME BRAINLEST

Answers

Step-by-step explanation:

[tex]U _{ {12}^{th} } = a {r}^{(n - 1)} \\ = 5 \times {5}^{12 - 1} \\ = 244140625 \\ {12}^{th} \: term \: is \: 244140625[/tex]

graph the function y=x3+3x2-1. based on the graph what is the least possible x-value if y=0? round your answer to the nearest hundredth, if necessary

o -2.88
o -2.00
o -0.65
o -0.53

Answers

Answer:

-2.88

Step-by-step explanation:

When graphed Y=0 crosses the X-axis three times

X= -2.88, -0.65, 0.53

Answer:

It's A on edge or -2.88

Step-by-step explanation:

Giving the brainliesttt
What is the range when the domain is
A) -8
B) -4
C) 4
D) 0
E) 10

Answers

It A -8 is the answer

A boat traveled 17 miles in 2 hours. At this rate, how many
miles will the boat travel in 72 hour

Answers

Answer:

1 hour=8.5miles

Step-by-step explanation:

if the boat traveled 17 miles in 2 hours then in 1 hour the boat traveled, because 17/2=8.5

idek if this answers your question but 8.5*72=612

Write down the first 4 terms of the sequence given by f(n) = 2n + 3

Answers

The first four terms of the sequence are 5,7,9, and 11
Explanation:
a1= 2×1+3= 5
a2= 2x2+3= 7
a3=2x3+3= 9
a4= 2x4+3= 11
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