Given the sequence 9,6,3,0,..., at what nth term will the number become -24?

Answers

Answer 1

Answer:

12

Step-by-step explanation:

A sequence is given and we need to find the term when it will become -24 . The given sequence is,

9 , 6 , 3 ,0 , . . . . .

Here Common Difference can be calculated by subtracting consecutive terms . So the Common Difference is 6-9 = -3 . Here the nth term is (-24) .Now using the formula to find nth term .

⇒ T_n = a + (n-1)d

⇒ (-24) = 9 + (n-1)(-3)

⇒ -24-9 = (n-1)(-3)

⇒ (n-1) = -33/-3

⇒ n-1 = 11

⇒ n = 11 + 1

⇒ n = 12

Hence the required number of term is 12.

Related Questions

Use the diagram to answer, given that line LM is a common tangent to circle P and circle Q. Leave answers in simplified radical when necessary. (Please let me know if the first blank is correct and answer the second one.)

Answers

Answer:

PL = 9

PN = 5√5

Step-by-step explanation:

8/12 = 6/PL

8PL = 72

PL = 9

PN² = 10² + 5² = 100 + 25 = 125

PN = √125 = 5√5

Factorise fully the following x2+2x

Answers

Answer:

x(x+2) is the answer

Step-by-step explanation:

x²+2x

x(x+2)

Parallel lines G and H are shown in one grid and parallel lines K and J are shown on the other grid

please help

Answers

9514 1404 393

Answer:

  B  reflected over y, translated up

Step-by-step explanation:

The left-right reversal means there was a reflection over a vertical line. The only one among the offered choices is the y-axis.

If the lines are reflected over the y-axis, the points on the y-axis don't move. The intercepts would still be 2 and 5 after the reflection.

However, the y-intercepts have moved up 3 units to 5 and 8.

  Lines g and h were reflected over the y-axis and translated up 3 units.

9(2b - 6)
Help I tried 6 times...​

Answers

Use distributive property.

18b-54

A simulation is done to represent kicking 5 field goals in a single game with a 72% probability of making each one. A 1 represents making the kick and a 0 represents missing the kick.
trial
result
1
10101
2
11010
3
00011
4
11111
5
10011
Based on these results, estimate the probability that 3 or more kicks are made.

Answers

Answer:

You are correct that the cross section is a rectangle, because a rectangular pyramid has 4 sides connected to the top of the rectangle.

Step-by-step explanation:

We can estimate that the probability of making 3 or more kicks in a game is approximately 0.8 or 80%.

What is simulation?

Simulation is the process of creating a computer model or a physical system that behaves like a real-world system or process, in order to study its behavior or performance under various conditions.

We have,

To estimate the probability that 3 or more kicks are made, we need to count the number of trials in which 3, 4, or 5 kicks were made, and divide that by the total number of trials (which is 5 in this case).

From the table,

We can see that there are three trials in which 3 kicks were made

(trials 1, 3, and 5), one trial in which 4 kicks were made (trial 4), and no trials in which all 5 kicks were made.

The total number of trials in which 3 or more kicks were made is:

= 3 + 1 + 0

= 4

To estimate the probability, we divide the number of successful trials by the total number of trials:

P(3 or more kicks made) ≈ 4/5

Therefore,

We can estimate that the probability of making 3 or more kicks in a game is approximately 0.8 or 80%.

Learn more about simulations here:

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Tatum walks her dog 2/3 mile every day after school. How many miles does she walk her dog in 5 days

Answers

The answer should be b!

The number of miles that Tatutm walk her dog in 5 days is given by: Option B: 10/3 (in miles)

How to add two fractions?

Let we have to add two fractions as:

[tex]\dfrac{a_1}{b_1} + \dfrac{a_2}{b_2}[/tex]

Then we will find Lowest Common Multiple (LCM) of [tex]b_1[/tex] and  [tex]b_2[/tex]. That will help to make the denominators same.

Once the denominators become same, the numerators can add up directly, giving us the final result of addition.

For this case, we're given that:

Each day, Tatum walks her dog 2/3 miles

For 5 days, the total distance her dog walked = 2/3 + 2/3 + 2/3 + 2/3 + 2/3

Since denominators are same, thus:

[tex]\dfrac{2}{3} + \dfrac{2}{3} + \dfrac{2}{3} + \dfrac{2}{3} + \dfrac{2}{3} = \dfrac{2+2+2+2+2}{3} = \dfrac{10}{3}[/tex]

We could've easily done it as: 2/3 + 2/3 + 2/3 + 2/3 + 2/3 = 5 times 2/3 = [tex]5 \times \dfrac{2}{3} = \dfrac{5 \times 2}{3} = \dfrac{10}{3}[/tex]

Thus, the number of miles that Tatutm walk her dog in 5 days is given by: Option B: 10/3 (in miles)

Learn more about fraction addition here:

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Please answer correctly! I will Mark you Brainliest!

Answers

Answer:

the height is 9

Explanation:

8 × 10 = 80

720 ÷ 80 = 9

hi please help i’ll give brainliest thanks

Answers

Answer:

point A

Step-by-step explanation:

Hope this helps you dude.

Debbie McAdams paid 6% interest on a $14,500 loan balance. Jan Burke paid $12,480 interest on a $97,500 loan. Based on 1 year
a. What was the amount of interest paid by Debbie?
Interest paid by Debbie
b. What was the interest rate paid by Jan? (Round your answer to the nearesi tenth percent.)
Interest rate paid by Jan
c. Debbie and Jan are both in the 28% tax bracket. Since the interest is deductible, how much would Debbie and Jan each save in
taxes? (Round your answers to the nearest cent.)
Debbie
Jan
Save in taxes

Answers

Answer:

C

Step-by-step explanation:

This is due today please help.
What is the area of the shape.

Answer choices:
24 yd2
36 yd2
39 yd2
30 yd2

Answers

I got u
24+6=30
9-6=3
3x4=12/2=6
6x4=24

30 yd^2

Abdul rented a truck for one day. There was a base fee of $19.99, and there was an additional charge of 76 cents for each mile driven. Abdul had to pay
$181.87 when he returned the truck. For how many miles did he drive the truck?
miles
х
?

Answers

Answer:

The truck drove 213 miles.

Step-by-step explanation:

181.87-19.99= 161.88

161.88÷0.76= 213

Samir buys T-Shirts for $10 each and markups the price by 35%. Samira claims that Samir has to mark each shirt up by $3.50.


Is she correct?

Answers

Answer: she is correct

Step-by-step explanation:

35% in decimal form is 3.50

Yes $10 cost multiple by 1.35 is $13.50 retail so markup is $3.50.

what expression is equivalent to (3^2)^-2

Answers

Answer:

1/81

Step-by-step explanation:

You just tap the calculator

Answer: 1/81

- First you simplify it to 3^-4

- Then express it with a positive exponent which goes to 1/3^4

- Then evaluate it to 1/81

hope this helps! :)

hi please help i’ll give brainliest

Answers

Answer:

The answer is B

Step-by-step explanation:

IT SHOWS THAT A SOLAR ECLIPSE OCCURS WHEN THE MOON CASTS A SHADOW OVER EARTH.

It cost 0.17 to mail a postcard and 0.25 to mail a letter. If Dykov spent $4.35 and wrote postcards and letters to 19 friends, how many postcards did he mail?

Answers

Answer:

14 Letters and 5 Postcards

Step-by-step explanation:

Complete the table below to classify the triangles as scalene or isosceles.
Triangle
Classification
2
2
3
5
10
9
<
3

Answers

Answer:

1) Isosceles

2) Scalene

3) Scalene

Step-by-step explanation:

The 1st choice is isosceles because 2 side lengths are equal.

The 2nd and 3rd choice are scalene because none of the sides equal the other sides.

11 point)
Hospital records show that patients suffering from a specific disease die 40% of the
time. If 5 patients have this disease, how many would you expect to survive?

Answers

Answer:

3

Step-by-step explanation:

If 40% of the patients die, then 60% of the patients survive.

60% of 5 = 0.6 * 5 = 3

Raquel’s favorite basketball player scored 25, 17, 38, 11, and 24 points during her games.

What is the mean number of points the player scored?

Answers

Answer:

23 points

Step-by-step explanation:

mean is 23

( ‘mean’ means the average)

add all the numbers together and divide by how many numbers are there.

25+17+38+11+24=115
115/5=23

During April, he charges $387.92 to the card, and at the end of April, he makes a payment of $400.00. What will be the new balance on his card?

Answers

he would have no money because he used it

Hey can you help me fast!!!

Answers

Answer: -15 + 42

Step-by-step explanation:

HELP PLEASE FAST
Select the ordered pairs that are solutions to y<2x+5
(-6,6_ (0,8) (2,-1) (-1,3)

Answers

Answer:

c & d

Step-by-step explanation:

[tex]x = - 6 \: \: 6 \leqslant - 12 + 5 \\ \ \\ 6 \leqslant - 7 \: \: \\ \\ \\ x = 0 \: \: 8 \leqslant 5 \\ \\ \\ x = 2 \: \: - 1 \leqslant 4 + 5 \\ - 1 \leqslant 9 \\ \\ x = - 1 \: \: 3 \leqslant - 2 + 5 \\ 3 \leqslant 3[/tex]

the fastest 3 runners in a race qualify for the next event. how many different groups of Runners could advance to the next event from a race that has seven runners​

Answers

Answer:

35 different groups of 3 runners can be selected

Step-by-step explanation:

Here, we want to simply calculate the number of 3 runners that can advance in a race from a total of 7

What we want to do here is to simply get different groups of 3

So, we have it that we simply want to know the number of different ways we can select 3 from a total of 7

We can simply use combination for this;

We have the general combinatorial as;

nCr = n!/(n-r)!r!

With respect to this particular question, n = 7 and r = 3

So we have;

7C3 = 7!(7-3)!3! = 7!/(4)!3! = 35

The distance between A (-4, 2) and B(4, 2) is.

Answers

Step-by-step explanation:

the answer is 8 units

I remember I had this

What is the slope of the line shown below?
10
A. 6
ОО
(-0,3) 6
B.
10
16
c
D. 6
101

Answers

Answer:

D. 7/3

Explanation:

Y1 - Y2 / X1 - X2

9 - -5 / 6 - 0

9 + 5 / 6

14 / 6

7/3

Ramsay cuts out a piece from a circular cardboard for a school project. The radius of the cardboard is 10 inches and the measure of the central angle is 54 degrees, as shown.

What is the length of the curved boundary of the piece of the cardboard Ramsay cuts out?
Leave in terms of π.

Answers

Answer:

34 inches

Step-by-step explanation :

54/360 X 20

Simplify: 6^6/6^−3 Leave your answer in exponential form

Answers

Answer:

6⁹

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Exponential Rule [Multiplying]:                                                                        [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Exponential Rule [Dividing]:                                                                             [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{6^6}{6^{-3}}[/tex]

Step 2: Simplify

Exponential Rule [Dividing]:                                                                              [tex]\displaystyle 6^{6 - -3}[/tex]Rewrite:                                                                                                             [tex]\displaystyle 6^{6 + 3}[/tex]Add:                                                                                                                   [tex]\displaystyle 6^{9}[/tex]

helpppppppppppppppppppp​

Answers

Answer:

6:5:4

Step-by-step explanation:

6 + 5 + 4 = 15

3000/15 = 200

200 x 6 = 1200 = eldest

200 x 5 = 1000 = 2nd eldest

1200 + 1000 = 2200

3000 - 2200 = 800

200 x 4 = 800 = youngest

Answer 6 : 5 : 4

Step-by-step explanation:

Its simply because

1200 ÷ 6 is 200 which is a whole number... If you divide for example 1200 by 7 it wont give you a whole... And also the first number of the ratio should be the greatest since the first child got the most money and the last the least which means the least should be the smallest number.

H E L P
what is the slope??

Answers

1/3 is the slope
X= 12-6=6
Y= 4-2=2
I got the slope 1/3 I used the points (6,2), (12.4)

plis help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Equation: 2x + 1 = 9x - 13

There are two chairs in each row.

Step-by-step explanation:

Looking at the problem, we see that Hue can form two rows of chairs with 1 left over, or 9 rows if she gets 13 more. With that information we can create the equation 2x + 1 = 9x - 13. Now let's solve for x.

2x + 1 = 9x - 13

What we can do first is subtract 9x from both sides. This is done so all of the variables are on one side. Thus that becomes...

2x + 1 - 9x = -13

Now, combine -9x and 2x to get -7x.

-7x + 1 = -13

Now subtract 1 from both sides. This is done so we solve for x directly.

-7x = -13 - 1

Subtract -1 from -13 to get -14.

-7x = -14

Now divide both sides by -7.

x = -14/-7

Divide -14 by -7 to get 2. Remember, dividing two negatives gives you a positive!

x = 2

With that, the equation is solved. There are 2 chairs in each row.

Plz answer quick! Will give brainiest! <3 No bull answers

Which statement is NOT an accurate comparison of the two dot plots?
A) There is a gap from 7 to 11 for Class A and there is no gap for Class B.
B) Class A is clustered around two areas, while Class B is clustered around the center. C) Class A spreads from 4 to 14, while Class B is spread from 3 to 9.
D) The median for both dot plots is 6.

Answers

Answer:

D

Step-by-step explanation:

The statement which is not an accurate comparison of the two dot plots is stated as: Option D) The median for both dot plots is 6

What are clusters in data?

Clusters are groups in data. Each group is like clustered or grouped around some number, usually the mean of that cluster.

What is the spread of a data?

Spread, also called range of a data, tells the difference between the maximum and minimum value of that data, thus showing how much widely is it spread.

Thus, spread = maximum value - minimum value

For this case, we see that there are two clusters for class A and for class B there is only single cluster which is almost separated but not distinctly forming two clusters.

Class A spreads from minimum 4 to maximum 16, thus its spread is 16-4 = 12 units wide.

Class B spreads from minimum 3 to maximum 9, thus, its spread is 9-2 = 6 units wide.

Also, we can see that for class A, there is a gap from 7 to 11.

So all three options A, B and C are correct.

Now, let we find median.

Median is that value which is in mid of ordered (ascending or descending data set).

For class A, we have the data as:

4,4,4,4,4,5,5,5,6,6, 12,13,13,13,14,14
They are total 16 observations. The middle observation pair is 8th and 9th observation, which are 5 and 6

We can take any of the number between 5 and 6, so 5 < median < 6

That means median of class A's data is smaller than 6, thus, not being 6.

Thus, option D is incorrect and we don't need to find median of class B.

Thus, the statement which is not an accurate comparison of the two dot plots is stated as: Option D) The median for both dot plots is 6

Learn more about median here:

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