What expression defines Sn?

What Expression Defines Sn?

Answers

Answer 1

Answer:

Sₙ=3(1/2^n)

Step-by-step explanation:

Notice that in the given series that each term is being multiplied by 1/2, which is our common ratio. 3/2 is the first term because 3*1/2=3/2, so the expression that defines Sₙ is Sₙ=3(1/2^n)


Related Questions

Please help!!!! Sine and cosine ratios

Answers

Answer: 40.9

Step-by-step explanation:

Given

angle given is [tex]23^{\circ}[/tex]

[tex]RC=16[/tex]

Using trigonometry

[tex]\Rightarrow \sin 23^{\circ}=\dfrac{RC}{PC}\\\\\Rightarrow \sin 23^{\circ}=\dfrac{16}{X}\\\\\Rightarrow X=\dfrac{16}{\sin 23^{\circ}}\\\\\Rightarrow X=40.948\approx 40.9[/tex]

Using cosine formula

[tex]\Rightarrow \cos 23^{\circ}=\dfrac{PR}{X}\\\\\Rightarrow PR=40.9\times \cos 23^{\circ}\\\Rightarrow PR=37.69\approx 37.7[/tex]

Which statement best describes the association between variable X and variable Y?

Answers

Answer:

weak, negative association

Step-by-step explanation:

If variables have a strong association, the points will form a clear line/curve. Since the graph's points are scattered and fairly chaotic, we can say the association is weak.

Positive associations trend upwards and negative associations tend downwards. This graph seems to overall tend downwards, so we can say the association is negative.

which class has 40% girls

Answers

Answer:

C. 48 out of 120

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Which description best summarizes the correlation between the calls made and the texts sent

Mm

Answers

Answer:

Weak positive

Step-by-step explanation:

From. Visual inspection of the scatter plot, the line of best fit will have a positive slope has values of x tends to increase with a corresponding increase in the value of y.

However, the points are scattered across the plotting area meaning that most of the points will be a bit farther away from the regression line. This means a weak correlation between the x and y variables will be obtained. Since the slope is positive, theb the relationship between the variables based on the scatterplot interpretation is a weak positive correlation.

Factor the quadratic:
2x^2-7x+3

Answers

Answer: (2x-1) (x-3)

A rectangle is drawn so the width is 5 inches longer than
the height. If the rectangle's diagonal measurement is 36
inches, find the height.
Give your answer rounded to 1 decimal place.
inches

Answers

Answer:

[tex]length = l\\width = 5 + l\\Diagonal = 36\\diagonal^2 = (5+l)^2 + l^2\\36^2 = 25 + l^2 +10l + l^2\\1296 = 2l^2 +10l +25 \\2l^2 +10l=1271\\\\l_1=\frac{-10+2\sqrt{2567}}{2\cdot \:2},\:l_2=\frac{-10-2\sqrt{2567}}{2\cdot \:2}[/tex]

[tex]l_1=\frac{-5+\sqrt{2567}}{2},\:l_2=\frac{-5-\sqrt{2567}}{2}[/tex]

clearly,

      [tex]l_{2} \ is \ a \ negative\ number[/tex]

So we consider

[tex]l_{1} =\frac{-5+\sqrt{2567}}{2} = 22.83[/tex]

Therefore height = 22.8inches

3√7 please help I dont understand

Answers

What is log675 with base 5 × log 3 with base 3?
We have to calculate (log 675 to the base 5) × (log 3 to the base 3)

Note the following important points :

(1.) log 675 to the base 5

=> log 675 to the base ‘e’ / log 5 to the base ‘e’

=> ln 675 / ln 5

Since 675 = 5^2 × 3^3

=> ln 675 = ln [5^2 × 3^3]

=> ln (5^2) + ln (3^3)

=> 2 ln 5 + 3 ln 3

Hence, log 675 to the base 5

= ln 675 / ln 5

= [2ln 5 + 3ln 3] / ln 5

(2.) Similarly, log 3 to the base 3

=> Since the logarithm of any natural number 'x' to the base of same number 'x' is always 1 (since any natural number raised to the power '1′ is equal to the same number) ,

Thus, (log 3 to the base 3) = 1

Hence, our problem reduces to:

(log 675 to the base 5) × (log 3 to the base 3)

=> [(2ln 5 + 3ln 3) / ln 5] × (1)

=> (2ln 5 + 3ln 3) / ln 5

=> So we only require the values of natural logarithm of 3 and 5 :)

We should remember these values, or we can always use log table.

Since ln 3 = 1.098

and ln 5 = 1.609

=> 2ln 5 = 2(1.609) = 3.218

=> 3ln 3 = 3(1.098) = 3.294

Hence,

solution : (3.218 + 3.294) / 1.609

=> 6.512 / 1.609

=> 4.047

GLAD TO HELP YOU ;))

What is the range of this function? (16, 1) (18, –1) (3, 0)

Answers

Answer:

Exactly

Step-by-step explanation:

The width of a rectangle measures (4d – 8) centimeters, and its length measures
(7d – 3) centimeters. Which expression represents the perimeter, in centimeters, of
the rectangle?

Answers

Answer:

(22d-22) cm

Step-by-step explanation:

perimeter= 2×(4d-8+7d-3)

= 2× (11d-11)

(22d - 22) cm

Answer:

(22d-22)cm

Step-by-step explanation:

Perimeter = 2 x (width + Length)

= 2 x [(4d – 8) + (7d – 3)]

= 2 x (11d-11)

= (22d-22)cm

In a litter of 7 kittens, each kitten weighs less than 3.5 ounces. Find all of the possible values of the combined weights of the kittens.

Answers

3.4 x 7 = 23.8 ounces

3.3 x 7 = 23.1 ounces

3.2 x 7 = 22.4 ounces

3.1 x 7 = 21.7 ounces

3 x 7 = 21 ounces

and so on, use a calculator and go until hit 0.1 btw all these answers r written in bold. :)

You would burn about 200 calories by walking for 1 hour. About how many calories would you burn if you walk for 15 minutes? PLS HELP ME!!!

Answers

Answer:

50

Step-by-step explanation:

So first just sort the times, and the number of calories:

200 calories -> 1hr

x -> 15 mins

So an hour is 4 times the amount of 15 mins, so all you need to do is divide 200 by 4. The answer is 50

What is the value of x in triangle PQR below?
Q
389
489
R
[Not drawn to scale)
88
0940
1329
1420
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

Hello! answer: x = 94

Step-by-step explanation:

Triangles add up to 180 degrees so we just add up the two measures we do have so 48 + 38 = 86

Now we subtract that from 180 to find x so

180 - 86 = 94 So 94 is x Hope that helps!

ayudenme por favor
es de algebra

Answers

Answer:

E

Step-by-step explanation:

Answer:
Option E is the answer!!!

Explanation:

These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two
yellow marbles if the first one is placed back
in the bag before the second draw?
Give your answer as a ratio, reduced to
simplest terms.
[?]
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.

Answers

2/10, i believe this is pretty self explanatory

Do this in simplest form :

Answers

There are 2 ways to do this
Way 1:
3/11*4/9
Cross multiply
1/11*4/3
Answer=4/33

Or

Way 2:
3/11*4/9=
12/99
Simplify by dividing both by 3
4/33

Clara looked at the clock on her way to band practice.

Answers

Answer:

3:45 pm

Step-by-step explanation:

4 Which number line represents the solution to the inequality 4 + 2x <6

Answers

Answer:

h

Step-by-step explanation:

H

Find the value of each variable in the parallelogram.

b
101
a
b=

Answers

Answer:

a= 79°

b= 101°

Step-by-step explanation:

thats the rule of a parallelogram

please answers this questions PLEASE I NEED THE FAST please

Answers

Answer:

Not gonna do the whole thing for you for 5 points

Step-by-step explanation:

The formula for Circumference is C = 2πr or C = dπ

r (radius) is the length of halfway across the circle

d (diameter) is the length across the whole circle (also it's equal to 2r)

You can solve it with that info

Don't forget to round if you need to

Round to the nearest hundredth (2 decimal places) when necessary

Answers

Answer:

If it's area, then:

area = 148.2 yd²

Step-by-step explanation:

area = 19 x 7.8 = 148.2 yd²

Find the graph to the equation below plz 20 POINTS

Answers

The graph to answer is D because y=4x

Answer:

the last one option 4

Step-by-step explanation:

Type the correct answer in each box.

Use numerals instead of words. If necessary, use / for the fraction bar. Consider the given table.

x -2 2 5 9 f(x) 5 17 26 ?

The "?" in the table represents the number because the average rate of change on every interval of the function is .

Answers

Answer:

Step-by-step explanation:

31

Help me pls thanks so much

Answers

Answer:

B. (50.27)

Step-by-step explanation:  a = (pi)r^2

8/2 = 4

4^2 = 16

16(pi) = 50.27

You're welcome :)

Answer:

=50.285714

Step-by-step explanation:

Area of a circle is equal to πr^2

diameter = 8 so radius = 4

22/7x4x4

22/7x16

=352/7

=50.285714

Write a system of equations with the
solution (2, 1, 0).

Answers


2x + y - z = 5
5x - 3y + 4z = 7
-6x -7y + 2z = -19

The system of equations with the solution are 2x + y - z = 5, 5x - 3y + 4z = 7 and -6x -7y + 2z = -19.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Solution to this system will give us the solution to the considered equation.

Solution to an equation is finding values of the variable included in the considered equation for which the equation considered evaluates to be true.

The system of equations with the solution (2, 1, 0) is;

2x + y - z = 5

The system of equations with the solution (5, -3, 4) is;

5x - 3y + 4z = 7

The system of equations with the solution(-6 , -7, 2) is;

-6x -7y + 2z = -19

The complete question is

"Write a system of equations with the solution (2, 1, 0) is 5, (5, -3, 4) is 7 and (-6 , -7, 2) is -19."

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

Hilary can ride her bike 16.43 mph. How far can she ride in three hours?​

Answers

Answer:

49.29

Step-by-step explanation:

16.43x3=49.29


Which is the correct answer ? 11 points.

Answers

Answer:

7 · 2 + 14k = 28

Step-by-step explanation:

Why your selected answer was incorrect:

So we are given that j is equal to 2 so lets put it in the equation we're given

7*2 + 14k = 28 This is one of the answers given so this must be the right answer

14 + 14k = 28

14 - 14 + 14k = 28 - 14

14k/14 = 14/14

k ≠ 2 k = 1

What are the odds of spinning red on the spinner shown?
Blue
Red
Green
Yellow
Red
Blue

Answers

Answer:

The answer in fractional form is 2/4, or 1/2

Step-by-step explanation:

The formula for odds is:

favorable outcomes/unfavorable outcomes

So, there are 2 reds (favorable) and 4 other colors (unfavorable)  =2/4

Answer: I am Going to say 1/2

Jasmine spent 30$ on supplies to make 60 cupcakes for a bake sale.jasmine wants to have a profit of more than 90$.Write an inequality to find the price,p jasmine could charge for each cupcake.
(i need to find what inequality finds the answer)
ALL MY 100 POINTS FOR HELP PLEASE!!

Answers

Answer:

$1.50

Step-by-step explanation:

A group of students were asked how many sisters they have visited in their lifetime. Below is a lot plot of their responses. How many observants are in this data set?

Answers

The answer for this question is 34.

Help? I don’t wanna fail this school year

Answers

Box D

Because it has the greatest volume

Answer:

A= 1 x 5 x3= 15       B= 3x4x2= 24     C= 2x7x1= 14    D=3x3x3= 27                           D has the greastest volume.

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