Given the formula for the arithmetic sequence, an = 6+ (n - 1)3, give the first 4 terms of the
sequence.
19
find the following:

Answers

Answer 1

[tex]a(n) = 6 + 3(n - 1)[/tex]

[tex]a(1) = 6 + 3(1 - 1)[/tex]

[tex]a(1) = 6 + 3 \times 0[/tex]

[tex]a(1) = 6 + 0[/tex]

[tex]a(1) = 6[/tex]

_________________________________

[tex]a(2) = 6 + 3(2 - 1)[/tex]

[tex]a(2) = 6 + 3 \times 1[/tex]

[tex]a(2) = 6 + 3 [/tex]

[tex]a(2) = 9[/tex]

_________________________________

[tex]a(3) = 6 + 3(3 - 1)[/tex]

[tex]a(3) = 6 + 3 \times 2[/tex]

[tex]a(3) = 6 + 6[/tex]

[tex]a(3) = 12[/tex]

_________________________________

[tex]a(4) = 6 + 3(4 - 1)[/tex]

[tex]a(4) = 6 + 3 \times 3[/tex]

[tex]a(4) = 6 + 9[/tex]

[tex]a(4) = 15[/tex]


Related Questions

What is the slope of the line that contains these points?
Pls help

Answers

Answer:

-1

Step-by-step explanation:

m=y2-y1/x2-x1

-6-(-5)=(-1)

6-5=1

-1/1=(-1)

hope this helps :3

if it did pls mark brainliest

The drama teacher decreased the length of a play from 90 minutes to 60 minutes. What was the percent decrease in the length of the play?

Answers

Answer:

it was decreased by 67%

Step-by-step explanation:

Answer:

67 %

Step-by-step explanation:

Please find X. I need help!

Answers

There are 2 overlapping triangles here. If the vertical lines are parallel, then these triangles are similar, and corresponding sides occur in a fixed ratio. In particular, we have

2/3 = (2 + x) / (3 + (x + 7))

Solve for x :

2/3 = (2 + x) / (10 + x)

2 (10 + x) = 3 (2 + x)

20 + 2x = 6 + 3x

14 = x

A ball thrown straight up in the air travels 90 inches in the first tenth of a second. In the next tenth of a second the ball travels 85 inches. After each additional tenth of a second, the ball travels 5 inches less than it did during the preceding tenth of a second. How long will it take before the ball starts coming back down? What is the total distance that the ball has traveled once it reaches its maximum height?

Answers

Answer:

855

Step-by-step explanation:

1.9 seconds is 19 tenths, so that means we add using the information given, which is that the ball travels 5 fewer inches every tenth of a second:

Time | Inches traveled

0.1     | 90

0.2    | 85

0.3    | 80

0.4    | 75

0.5    | 70

0.6    | 65

0.7    | 60

0.8    | 55

0.9    | 50

1.0     | 45

1.1      | 40

1.2     | 35

1.3     | 30

1.4     | 25

1.5     | 20

1.6     | 15

1.7     | 10

1.8     | 5

1.9     | 0

90+85+80+75+70+65+60+55+50+45+40+35+30+25+20+15+10+5+0=855

The two angles below are complementary. Solve for r and round your
answer to the nearest tenth.

Answers

Answer:

70

Step-by-step explanation:

The radar on a ship picks up two shipwrecks, A and B, 2.5 miles beneath the surface. The distance between the shipwrecks is 0.6 miles. The angle of depression, q, to Shipwreck B depends on the horizontal distance, d, from the ship to Shipwreck A. Write a function for q in terms of d.

Answers

We have
tan 12.5 = 60 / adj rearrange as
adj = 60 / tan 12.5 = about 270.64 m

Using the principle of trigonometry, the angle of depression, q can be expressed in terms of the horizontal distance, d as [tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]

Using Pythagoras :

SOHCAHTOA

Horizontal distance, d to shipwreck A is added to the distance between shipwrecks A and B to obtain the total horizontal distance

Total horizontal distance = opposite = (d + 0.6) miles

Vertical distance = Adjacent = 2.5 Miles

To obtain the angle of depression, q :

Tanθ = opposite / Adjacent

[tex] tan q = \frac{opposite}{adjacent}= \frac{total \: horizontal \: distance}{height} [/tex]

[tex] tan q = \frac{d + 0.6}{2.5} [/tex]

Therefore, q can be written in terms of d thus ;

[tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]

Learn more : https://brainly.com/question/17350482

A bakery sold a total of 80 cupcakes in a day, and 95% of them were chocolate
flavored. How many of the cupcakes sold that day were chocolate flavored?​

Answers

Answer:76

Step-by-step explanation:

Please help me answer this question!

Answers

Answer:

D. -3 and 3

Step-by-step explanation:

We are given an output of 2. This means this is the value we need an input for. We need to find a number(s) that lie on the x axis and when we move up, you get an output of 2.

Option A:

If we are given an input of -2, we start at (-2, 0) and move up until we reach a point on the line. We end up lying on the point (-2, 3). Thus, the output for having an input of -2 is 3 which proves that this answer is incorrect.

Option B:

As stated above -2 has an output of 3 which is wrong. Since we know this, we can eliminate this as an option.

Option C:

If we are given an input of -3, we start at (-3, 0) and move up until we reach a point on the line. We end up lying on the point (-3, 2). Thus, the output for having an input of -2 is 2 which proves that this answer is correct.

Option D:

We know that -3 is a possible input so we just need to check 3 as an input.

If we are given an input of 3, we start at (3, 0) and move up until we reach a point on the line. We end up lying on the point (3, 2). Thus, the output for having an input of 3 is 2 which proves that this answer is also correct.

Since we know that -3 and 3 are possible inputs for an output of 2 on the graph, we need to include them both in our answer. Thus, the answer is D.

Best of Luck!

Hi, I need help with this equation

[tex]9^7/9^n = 9^2[/tex]

what is the value of n?
Will give brainliest to accurate answer.

Answers

N=5 cross multiply to get the variable on its own.

hi someone pls help me with #2

Answers

Answer:

B

Step-by-step explanation:

Bob needs his refrigerator fixed. The repairman will charge Bob a flat fee of $40 plus an additional $15 for each hour he needs to work on it. Write an equation to represent Bob's cost to repair his refrigerator. Use y for the total cost and x for hours.

Answers

Given:

Fixed fee = $40

Additional fee = $15 per hour

To find:

The equation to represent Bob's cost to repair his refrigerator.

Solution:

Let y be the total cost for x hours.

Additional fee for one hour = $15

Additional fee for x hour = $15x

Total cost = Fixed fee + Additional fee

[tex]y=40+15x[/tex]

Therefore, the required equation is [tex]y=40+15x[/tex].

Jamal needs to dig a ditch 15 yards long.
Jamal digs 7 yards in the morning and
another 3 yards after lunch. How much is left to dig
more of the ditch is left to dig?

Answers

Answer:

5 yards

Step-by-step explanation:

7y+3y=10yards

15yards-10yards=5yards

if 3/8 of a pizza cost $5, how much would a full pizza cost? (Be sure to write your answer in the form of money) ​

Answers

$13.35 rougly around that

Distribute 3(x^2+2x)

Answers

Answer: 3x^2 +6x

Explanation: Multiply each term in the parentheses by 3.

Answer:3

3[tex]x^{2}[/tex]+6x

is this what you want?

Step-by-step explanation:

5=45 ÷
What is the answer

Answers

45 ÷ 5 = 9

So, 5 = 45 ÷ 9

please help me 30 points

Answers

Answer:

Hope your having a great day.

Step-by-step explanation:

God Bless, and try not to stress to much about school your doing great :)

Which number sentence has the solution of a = 16?
1.) a/2 + 2 = 6
2.) a/4-3 = 1
3.) a/6 + 4 = 2
4.) a/2 - 12 = 20

Answers

It is 2 because:
16/4=4
4-1=3

Nick's phone bill is $50 per month plus $0.25 for every text message. If his bill was $108 this month, how many
text messages did he send?

Answers

Answer:

232 text messages

Step-by-step explanation:

108 - 50 = 58

[tex]58 \div .25[/tex]

232 text messages

Yw :)

232 texts
108-50=58
58/.25=232

The lateral surface area of a cube is 400cm². Its total surface area is
_______
a)600cm² b) 2400cm² c) 500cm² d) 650cm²

Answers

Answer:

Step-by-step explanation:

Lateral surface area of cube = 4a²

4a² = 400

   a² = 400÷4

  a² = 100

 a = √100 = √10*10

a = 10 cm

Total surface area = 6a²

                               = 6 * 10²

                               = 6* 100

                               = 600 cm²

Answer:

A

Step-by-step explanation:

I believe that I did this before.

You play basketball At your schools indoor stadium. You have two payment options. Option A is to buy a membership card for $20 and pay $2 each time you go to the gym, t. Option B is to pay $4 each time you go. After how many trips to the gym will the cost be the same?

Answers

Answer:

10 trips

Step-by-step explanation:

Let the number of trips to the gym be represented by t

Option A is to buy a membership card for $20 and pay $2 each time you go to the gym.

$20 + $2× t

20 + 2t

Option B is to pay $4 each time you go.

$4 × t

= 4t

After how many trips to the gym will the cost be the same?

Option A = Option B

20 + 2t = 4t

Collect like terms

20 = 4t - 2t

20 = 2t

t = 20/2

t = 10 trips.

After 10 trips, the gym cost will be the same.

I’ll mark brainliest

Evaluate the following expression for

m= -3
N= 4
P= 2

Answers

(4) / (2) + (-3)

4/2 - 3

4/2 - 3/1 ( 3/1 multiply by 2 to make denominators same ok )

4/2 - 6/2

-2/2 ( simplify )

-1 is the answer

Which algebraic expression represents the perimeter of the rectangle?
2x + 2
4x + 3

Answers

I’m pretty sure it’s the 3rd one

Answer:

12x + 10

Step-by-step explanation:

Combine the like terms. 4x + 2x and 2 + 3. Parallel sides, 6x times 2 which is 12x. 5 times 2 which is 10. Therefore, your answer is 12x + 10

a line in point-slope form that goes through the points (8,-9) and (-4,15).

Answers

Answer: The answer is 1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Please help me solve this problem

Answers

Answer:

x=2

Step-by-step explanation:

because if you put the equation as in x+11=6x+1  and do the equation you'll get x=2

During an investigation on speed, a ball rolls down a ramp a distance of 8 m in a time of 2 seconds. What is the average speed of the ball in m/s?

Answers

Answer:

4 m/s

Step-by-step explanation:

To find the average speed of the ball, divide the number of meters by the number of seconds:

8/2

= 4

So, the average speed of the ball is 4 m/s

i need help with this​

Answers

B is the answer ...............

Answer:

answer is A

Step-by-step explanation:

This symbol is called a tilde. In symbolic logic (a field of math  

used a lot in computer sciences) it is used to denote "not." For  

example, ~A means "not A." In some other contexts, it means  

"approximately." For example, pi ~= 3.1416. (Note that sometimes it is  

written above the equal sign, and sometimes it is used without an  

equal sign - it depends on the situation and the publisher.)

Use the distributive property to simplify the following expression-(8+b)

Answers

Do you see the negative sign in front of the parentheses? That is -1.

Multiply each term inside the parentheses by -1.

Doing so, we get -8 -b.

is it proportional or non proportional

Answers

Answer:

proportional

Step-by-step explanation:

13/2=6.5

19.5/3=6.5

26/4=6.5

32.5/5=6.5

so if all equal the same they are proportional

The EPA wants to know the daily level of pollutant discharge in the manufacturing district in Pittsburgh for February 2005. The monitoring equipment reveals that the mean daily discharge per factory (calculated as total areal discharge divided by total areal factories) is 30.2 tons with a standard deviation of 9.1 tons. Construct a confidence interval for the true population mean of pollutant discharge using a 95% level of confidence.

Answers

Answer:

The 95% confidence interval for the true population mean of pollutant discharge is (26.7 tons, 33.7 tons).

Step-by-step explanation:

Let X represent the daily level of pollutant discharge in the manufacturing district in Pittsburgh.

The monitoring equipment reveals that for the 28 days of the February month

Mean daily discharge per factory, ([tex]\bar x[/tex]) = 30.2 tons

Standard deviation daily discharge per factory, (s) = 9.1 tons

Compute the critical value of t for 95% level of confidence and (n - 1 =) 27 degrees of freedom as follows:

[tex]t_{0.05/2, 27}=2.052[/tex]

*Use a t-table.

Compute the 95% confidence interval for the true population mean of pollutant discharge as follows:

[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\frac{s}{\sqrt{n}}[/tex]

     [tex]=30.2\pm 2.052\times\frac{9.1}{\sqrt{28}}\\\\=30.2\pm 3.53\\\\=(26.67, 33.73)\\\\\approx (26.7, 33.7)[/tex]

Thus, the 95% confidence interval for the true population mean of pollutant discharge is (26.7 tons, 33.7 tons).

I have a riddle for you I have 31 82,400,060 tens and 100 hundreds

Answers

Answer: 31824010600

Step-by-step explanation: 3182400060 tens and 100 hundreds = 31824010600.

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