Find the 15th term of this arithmetic sequence for 20,26,32,38,44

Answers

Answer 1

Answer:

104

Step-by-step explanation:

There are two ways to do it, though we need to know how it is affected.

20+6=26

26+6=32

32+6=38

38+6=44

Thus, you are adding 6 for each term.

1. You do it manually...(yes.)

I'll number it one by one

1.20

2.26

3.32

4.38

5.44

6.50

7.56

8.62

9.68

10.74

11.80

12.86

13.92

14.98

15.104

The 15th term is 104.

2. This method is easier. As shown above, there is a pattern. We can apply it using this formula:
20+6(n-1)

You can get this formula from the facts that:
-you start off with an additional added 8

-you add 6 every time

-if we do it 6n then it would be incorrect, with an extra 6 for each

-the formula is correct; you can test it for terms 2,3,4,5 like this:

20+6=26

20+2x6=32

20+3x6=38

20+4x6=44

To find the 15th term, you can:

20+14x6=20+84=104.


Related Questions

- Meagan puts three flowering plants in a garden bed. Plant 1 and Plant 2 are 6 inches apart Plant 2 and Plant 3 are 10 inches apart Plant 1 and Plant 3 are 13 inches apart Did Meagan place the plants in a right triangle shape? Why or why notp?​

Answers

Answer:

No

Step-by-step explanation:

They can't be in a straight line because 6+10 (the distance between plants 1 and 2 and plants 2 and 3) is more than 13 which is the distance from plant 1 to plant 3.  This means plant 3 can't be in line with 1 and 2 which will give a triangular shape.  If we check Pythagorean theorem we get 6^2 + 10^2 = 13^2 ( the longest side has to be the hypotenuse) .  Since this isn't a true statement it can't be a right triangle.  

The movie started at 7:35 PM and lasted 1 hour and 40 minutes. What time did
the movie end?

Answers

Answer:

9:15 PM

Step-by-step explanation:

1 hour and 40 minutes after 7:35 is 9:15

It ended 9:15 pm
Explanation: from 7:35 1+40 = 09:15 pm

The functions f(x) = x2 – 2 and g(x) = –x2 + 5 are shown on the graph.Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified? y > x2 – 2 y ≥ –x2 + 5

Answers

Two rigid transformations must be applied:

Vertical translation 7 units in the +y direction.Reflection around the line y = 5.

The solution set can be identified by the fact that domain of quadratic functions is the real domain.

How to use rigid transformations

In the field of the Euclidean geometry rigid transformations are transformations applied on geometric loci such that Euclidean distances within the latter are conserved and herein we must determine what rigid transformations we should apply on f(x) to obtain g(x).

After a careful examination, we conclude that following two rigid transformations must be applied:

Vertical translation 7 units in the +y direction.Reflection around the line y = 5.

The solution set represents the set of x-values such that the function exists. As both functions are quadratic equations, then their solutions are described the entire real domain.

To learn more on rigid transformations, we kindly invite to check this verified question: https://brainly.com/question/1761538

What is 20% of 60?

please and fanks

Answers

Answer:

heya! ^^

so the question demands us to calculate what is 20% of 60.

that's quite simple. so let's see how we gótta do this question.

[tex]\\\\ \fbox{20\% \: \: of \: \: 60} \\ \\ \dashrightarrow \: \frac{2\cancel0}{\cancel{100}} \times 6\cancel0 \\ \\ \dashrightarrow \: 2 \times 6 \\ \\ \dashrightarrow \: 12[/tex]

hope helpful :D

Answer:

12

▬▬How to▬▬Convert 20% to fraction.[tex]20[/tex]% ⇒ [tex]\frac{1}{5}[/tex]Flip [tex]\frac{1}{5}[/tex] to [tex]\frac{5}{1}[/tex][tex]\frac{5}{1}[/tex] also equals 5Add 5 and 1[tex]5 + 1 = 6[/tex][tex]6 * 2 = 12[/tex]

Hence, the answer is 12

The point, (-4, 2) is a solution to the following system. y > 3x - 2 y ≥ 1 True False

Answers

Answer:

May I see a picture can't really understand the question clearly but seeing a picture could help. Thanks.

Find the volume of the figure below.

Answers

Answer:

B

Hope This Helps! :) Please Mark as brainliest!

The answer would is b

HELPP this is due tomorrow

254 people were surveyed regarding their favorite gemstone 54%chose diamonds 6%chose saphires 30% chose emeralds 10% rubies. How many people did not choose emeralds or rubies?

Answers

Answer:

152.4

Step-by-step explanation:

30%+10%=40%

100%-40%=60%

254*0.60=152.4

What is the measure of ZABC?
А
D
75
O A. 75°
45
B
E
m
B. 60°
с
O C. 45°
O D. 120°

Answers

Answer:

B

Step-by-step explanation:

The measure of the angle ABC in the given circle is 60°

What is circle?

A circle is the set of all points in the plane that are a fixed distance (the radius) from a fixed point (the center). Any interval joining a point on the circle to the center is called a radius. By the definition of a circle, any two radii have the same length.

Given is a circle, with arcs DE and AC measuring 45° and 75° respectively,

We need to find the measure of the angle ABC,

So, using the property of a circle, we will have,

∠ ABC = 1/2 {arc DE + arc AC}

= 1/2 {45+75}

= 1/2 x 120

= 60

Hence, the measure of the angle ABC in the given circle is 60°

Learn more about circles, click;

https://brainly.com/question/29142813

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On the following unit circle, \thetaθtheta is in radians.
A unit circle with an angle from the positive x-axis to a ray labeled theta. The point where the ray intersects the circle is labeled 0.83, negative 0.55 and is in the fourth quadrant.
A unit circle with an angle from the positive x-axis to a ray labeled theta. The point where the ray intersects the circle is labeled 0.83, negative 0.55 and is in the fourth quadrant.
Without a calculator, evaluate the following expressions to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

cos(π+θ)=-cos θ=-(0.83)/1=-0.83

cos (2π-θ)=cos θ=0.83/1=0.83

Answer:

5/4

Step-by-step explanation:

-3|x|=9, what is x? I wrote that x = -3, but I guess that's wrong?

Answers

Answer:

  no solution

Step-by-step explanation:

You want the solution to -3|x| = 9.

Sign

The equation shows the product of a negative number (-3) and a positive number |x| is positive (9).

This is a violation of the rules of arithmetic. The product of a positive and a negative is always negative.

There is no solution to this equation.

<95141404393>

Ethel is packing two suitcases for her vacation. The
first suitcase weighs 24 pounds. The total weight of
the suitcases is 49 pounds. What is the weight of the
second suitcase?

Answers

Answer:

43646

Step-by-step explanation:

I did not know

Answer:

25 pounds

Step-by-step explanation:

both are 49. and one is 24.

49-24=25. which has to be the weight of the second suitcase.

You text your friend for 15 minutes on friday night and for 25 minutes on saturday night. what is the percent of increase? (round to nearest whole percent)

Answers

Answer:

66%

Step-by-step explanation:

This doesn't really require any equations, it's just brain work.

15 can be easily divided into 3 parts, each part consisting of 5 units. Here, it will be 5 minutes, then, if it's 5 minutes for each 33%(this number is rounded), then, that means that for 10 minutes, it will be 66%. You can understand this because the amount of increase in minutes is 10 minutes, and if each 5 minutes = 33% of increase, then 33+33=66, so hence, our answer is 66%.

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Fill in the table using this function rule.​

Answers

Answer:

1) 16
2) 12
4) 4
5) 0

Step-by-step explanation:

Plug in the value for x in the equation above and solve for y for all 5.

Determine whether each set of data represents a linear, an exponential, or a quadratic function.

Answers

Answer:

See below ↓↓↓↓

Step-by-step explanation:

Set 1

[tex]\left[\begin{array}{ccc}x&y\\1&13\\2&6\\3&1\\4&-2\\5&-3\end{array}\right][/tex]

Quadratic [As it reduces at an unusual rate : -7, -5, -3, etc.]

Set 2

[tex]\left[\begin{array}{ccc}x&y\\-5&-34\\-4&-29\\-3&-24\\-2&-19\\-1&-14\end{array}\right][/tex]

⇒ y = 5x - 9

Linear

Set 3

[tex]\left[\begin{array}{ccc}x&y\\-2&0.0625\\-1&0.25\\0&1\\1&4\\2&16\end{array}\right][/tex]

Exponential [As seen by the perfect squares 0.0625, 0.25, 1, 4, 9..]

Set 4

[tex]\left[\begin{array}{ccc}x&y\\-6&28\\-3&19\\-1&13\\0&10\\3&1\end{array}\right][/tex]

Quadratic [As it reduces at an unusual rate : -9, -6, -3, etc.]

It is given that the volume of a size 5 football is larger than that of a size 4 football by 72.8%.find the ratio of the radius of the size 5 football to that of the size 4 football.​

Answers

Answer:

6/5

Step-by-step explanation:

Let size 4 football radius = x,

and size 5 football radius = y,

Volume of size 5 = Volume of size 4 × (1 + 0.728)

Using the sphere volume formula,

V = (4/3)πr³

(4/3)πy³ = (4/3)πx³ × (1.728)

= 1.728x³

y = ³1.728 x

y/x = 6/5

Therefore, ratio of the radius of the size 5 football to that of the size 4 football is 6/5

Answer:

6/5

Step-by-step explanation:

Given a normal distribution with a mean of 28 and a standard deviation of 2.5, what percentage of the data should be between 25.5 and 30.5?

Answers

Using the Empirical Rule, it is found that 68% of the data should be between 25.5 and 30.5.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

28 - 2.5 = 25.5.28 + 2.5 = 30.5.

Within one standard deviation of the mean, hence, 68% of the data should be between 25.5 and 30.5.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

m ∠ 1 = ______ °
m ∠ 2 = ______ °
m ∠ 3 = ______ °

Answers

Answer:

M < 1=180

M<2=90

M<3=90

Step-by-step explanation:

M 2 and 3 are both right angles and m1 is a obtuse  angle

2=x^2-10x solve by completing the square

Answers

[tex]2=x^2-10x\\\\\implies x^2 -10x =2\\\\\implies x^2 -2\cdot 5 x +5^2 -5^2 = 2\\\\\implies x^2 -2\cdot 5x +5^2 = 2+5^2 \\\\\implies (x-5)^2 = 27\\\\\implies x-5 = \pm\sqrt {27}\\\\\implies x = \pm\sqrt{27} +5=\pm3\sqrt{3}+5\\\\\text{Hence,}~ x = 5+3\sqrt 3~\text{or}~ x = 5-3\sqrt 3[/tex]

necesito saber como se resuelve esto (:

Answers

Answer:

Cómo escribir las fracciones en letras?

Así, cuando vayas a leer una fracción, primero menciona el numerador, luego el tipo de partes que se están tomando. Por ejemplo, la fracción se lee siete novenos, y significa que se tomaron siete partes, después de dividir la unidad en nueve.

Step-by-step explanation:

The graph of the function is of the form
f(x) = a * sin(kc – c) + h.

Answers

The answer is : f(x) =3sin(2x+pi/2)

Explain

There 0,3 on the graph

You use this formula

f(x)=asin(kx-c)+h

and the maximum and minimum value of this function

a+ h and -a+ h

So a=3 and h=0

So we have

We have; f(x)= 3sin(kx - c)
and we have from the graph;

f(O)=3

So

Sin(-c) =-1

Therefore C=. Pi/ 2 +2pi n

We have period of the function is pi


2pi/ k
k=2
So it will equal Pi


Do you have any doubts ?

dd2+2
edeeeeeeeeedvvvvvvvvvvvvvvvw[[kqpwgjwegkJ=J

Answers

Answer: umm what did you say?

Step-by-step explanation:

Help with this question please

Answers

Answer:

3y is the GCF

Step-by-step explanation:

the lowest value is -9y, so it can't be a value in the exponents

Help! The question is in the image.

Answers

Answer:

it is on y axis so that the points are (0,4)&(0,8) on the horizontal angle & it will touch the x axis on (-8&2)

10^3 I need some help can someone help please.

Answers

A number raised to an exponent is the number multiplied by itself the number of the exponent:


10^3 = 10 x 10 x 10 = 1,000

Rajan is given half a chocolate to divide amongst 4 people including himself what fraction of the whole chocolate is he left with?

Answers

12.5% because half of 100% is 50% and 50/4=12.5%

Answer: If Rajan has [tex]\frac{1}{2}[/tex] of a chocolate bar, then he has to divide it 4.

[tex]\frac{1}{2}[/tex] ÷ 4 = [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] ÷ 4

[tex]\frac{1}{2}[/tex] × [tex]\frac{1}{4}[/tex]

Multiply the numerators and denominators and you will get:    [tex]\frac{1}{8}[/tex]

Hope this helped!

SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!

Answers

Answer:

5.946 cm

Step-by-step explanation:

Using the Pythagorean Theorem, we know that in a right angle triangle to find the longest side we must use the equation a^2 = b^2 + c^2

A is the longest side while b and c are the other two sides

To find one side we must use

b^2 = a^2 - c^2

a squared = 6.9 squared - 3.5 squared

a^2 = 35.36

square root 35.36 to get a

a = 5.946427499

a (3 d.p.) = 5.946

what's greater -9/11 or -5/8

Answers

Answer:

-9/11 > -5/8

Step-by-step explanation:

2x5/8 and leave your answer as An improper fraction:
7/16
10/16
7/8
10/8

Answers

Answer:

10/8

Step-by-step explanation:

[tex]2 \times \frac{5}{8} \\ \\ = \frac{2 \times 5}{8} \\ \\ = \frac{10}{8} [/tex]

The answer would be 10/8

first to answer correctly will be marked brainliest

Answers

Answer:

See attached picture

Step-by-step explanation:

Hope this helps! :)

Which exponential model best represents the data? O f(x) = 3(1.2) O f(x) = 2(0.3)* O f(x) = 2(3)* O f(x) = 3(0.2)*​

Answers

The exponential model has an initial value of 3

The exponential model of the data is f(x) = 3 * (1.2)^x

How to determine  the exponential model?

From the complete question,we have the following parameters:

Initial value, a = 3Growth rate, r = 0.2

The exponential model is then calculated as:

f(x) = a * (1 + r)^x

Substitute known values

f(x) = 3 * (1 + 0.2)^x

Evaluate the sum

f(x) = 3 * (1.2)^x

Hence, the exponential model of the data is f(x) = 3 * (1.2)^x

Read more about exponential models at:

https://brainly.com/question/7296382

Answer:

f(x)=3(0.2)^x

Step-by-step explanation:

When x=0

f(0)=3

When x =1

f(1)=0.6

3 x 1.2 =3.6,  3 x 0.2=0.6

So then I just chose f(x)=3(0.2)^x and I got it correct on the quiz :)

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