Find the sum of the geometric series if n = 6, r= 1/4, a = 2.

Answers

Answer 1

Sn = a(1-r^n)/(1-r)

Sn= 2(1-1/4096)/0.75= 2.67


Related Questions

HELP MEEE

What is the probability of spinning a blue on
the above spinner and flipping heads?

Answers

There are eight different sections of the circle and there are three that are blue, the probability of spinning on blue is 3/8

If you are only flipping the coin once, it will be a 1/2 probability of flipping heads as there are only two sides to a coin.

Determine how many people will fit in a building with a width of 105 feet and a length of 250 feet, if we use a standard of 16 people per 25 square feet.

Answers

Answer:

16,800 people

Step-by-step explanation:

105 * 250 = 26,250

p = 26250ft² * (16 people / 25ft²)

p = 16,800 people

Answer:

16800

Step-by-step explanation:

105 x 250 = 26250 and then divide it by 25 which is 1050 then multiply by 16 which is 16800

Hope this helps!

The annual per capita consumption of bottled water was 32.6 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 32.6 and a standard deviation of 12 gallons. The probability that someone consumed more than 33 gallons of bottled water is?

Answers

Answer:

0.4867

Step-by-step explanation:

Given an approximately normal distribution:

Z = (x - mean) / standard deviation

Mean = 32.6 ; Standard deviation = 12

For :

P(x > 33)

Z = (33 - 32.6) / 12

Z = 0.4 / 12

Z = 0.0333

Hence, using the Z distribution table :

P(Z > 0.0333) = 1 - P(Z < 0.333)

P(Z > 0.0333) = 1 - 0.51328

P(Z > 0.0333) = 0.48672

An engine runs for 3.2 hours. How many seconds did it run?​

Answers

Answer:

11520 seconds

Step-by-step explanation:

3.2 x 60= 192 minutes

192 x 60= 11520 seconds

Someone please help!

Answers

264 in. I believe. If you multiply them all
The answer is 290. The previous answer is incorrect because they calculated volume. The question asks for SURFACE AREA.

Jerome solved the equation below using the steps shown. Step 1: 3x + 6 = 18 step 2: 3x = 12 step 3: x = 4 what operation did her perform to get from step 2 to step 3

Answers

Answer:

divided both sides of the equation by 3

Step-by-step explanation:

Help pls this is 5th grade math

Answers

Answer:

2 is scalene

3 is right

4 is right

5 is equalatirel

6 is scalene

7 is isocoles

8 is equalatirel

9 is right

Step-by-step explanation:

Answer:

2: scalene

3: right

4: right

5: equilateral

6: scalene

7: isosceles

8: equilateral

9: right

Step-by-step explanation:

2: A scalene triangle has no congruent sides

3: A right triangle has a 90 degree angle

4: A right triangle has a 90 degree angle

5: An equilateral triangle has 3 congruent sides

6: A scalene triangle has no congruent sides

7: An isosceles triangle has 2 congruent sides

8: An equilateral triangle has 3 congruent sides

9: A right triangle has a 90 degree angle

If f(x) = 3x + 2 and g(x) = 2x - 2, what is (f - g)(x)?
A. x + 4
B. X-2
O c.
Х
OD.
5x-2
O E.
X-4

Answers

Answer:

option A

Step-by-step explanation:

f(x) = 3x + 2

g(x) = 2x - 2

(f - g)(x) = f(x) - g(x)

           = (3x + 2) - (2x - 2)

           =3x + 2 - 2x + 2

           = x + 4

The value of function (f - g)(x) is,

⇒ (f - g)(x) = x + 4

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Function are,

f(x) = 3x + 2 and g(x) = 2x - 2

Hence, The value of function (f - g)(x) is,

⇒ (f - g)(x) = (3x + 2) - (2x - 2)

⇒ (f - g)(x) = 3x + 2 - 2x + 2

⇒ (f - g)(x) = x + 4

Thus, The value of function (f - g)(x) is,

⇒ (f - g)(x) = x + 4

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Can someone please help, ty!
Will mark brainliest!

Answers

Answer:

The first and third set

Step-by-step explanation:

Because no two inputs can have different outputs

Answer: The first and third Equations

Explanations:

Evaluate the following
6!

Answers

Answer:

Mind showing a picture?

Thank you!

By what percent will a fraction decrease if its numerator is decreased by 40% and its denominator is decreased by 25%?

Answers

Answer: 80%

Step-by-step explanation:

Hence, if the numerator is decreased by 40% and the denominator is decreased by 25%, the original fraction is decreased by 80 percent.

Josh says that -5/4 has the same quotient as 5/-4 Is this true or false?
True
False

Answers

the answer to this is true
Trueeeeeeeeeeeeeeeeeee

Age of each person in Kidz Zone
6
5
4
2
1
20
25
0
0 5 10 15
Number of years
In which interval is the median age?
Choose 1 answer:
0-5
5 - 10

Answers

Answer:

10-15

Step-by-step explanation:

Median is the middle of the numbers (or in this case, number sets)

The middle number set is the third.

Thus, the interval would be 10-15.

Answer: 5-10

Step-by-step explanation:

the median for 11 data points would be the sixth data point which falls into the 5 to 10 years interval

For positive acute angles A and B it is known that tan A 15/8 and Cos B 12/37 find the value of Cos (A+b) being in simplest form

Answers

Answer:

Step-by-step explanation:

Cos(A + B) = Cos(A)*Cos(B) - Sin(A)*Sin(B)

Find The Hypotenuse of A

Tan(A) = Opposite / Adjacent

Tan(A) = 15/8

Opposite = 15

Adjacent = 8

Hypotenuse = c

c^2 = opposite^2 + Adjacent^2

c^2 = 15^2 + 8^2

c^2 = 225 + 64

c^2 = 289

sqrt(c^2) = sqrt(289)

c = 17

Find the opposite of B

Adjacent = 12

Hypotenuse = 37

Opposite = b

adjacent^2 + opposite^2 = hypotenuse^2

12^2 + b^2 = 37^2

144 + b^2 = 1369

b^2 = 1369 - 144

b^2 = 1335

b = 35

Definitions

Sin(A) = Opposite / hypotenuse = 15/17

Sin(B) = opposite / hypotenuse =  35/37

Cos(A) = 8/17

Cos(B) = 12/37

Answer

Cos(A + B) = Cos(A)*Cos(B) - Sin(A)*Sin(B)

Cos(A + B) = 8/17 * 12/37 - 15/17*35/37

Cos(A + B) = 96/629 - 525/629

Cos(A + B) = -429/629

The question is in the picture (Alegbra 1)

Answers

Answer:

[tex]\frac{s}{s-4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{s^2+6s}{s^2+10s+24}[/tex] ÷ [tex]\frac{s-4}{s+4}[/tex] ( factor and simplify fraction on left )

= [tex]\frac{s(s+6)}{(s+4)(s+6)}[/tex] ÷ [tex]\frac{s-4}{s+4}[/tex] ← cancel (s + 6) on numerator/ denominator

Leave first fraction, change division to multiplication, turn second fraction upside down

= [tex]\frac{s}{s+4}[/tex] × [tex]\frac{s+4}{s-4}[/tex] ← cancel (x + 4) on numerator/ denominator

= [tex]\frac{s}{s-4}[/tex]

A manufacturer of liquid laundry detergent has a .02 probability that the detergent bottles will be improperly filled. (Either too much or too little detergent.) There is a .03 probability that the label on the bottle will not be affixed properly. If the events of bottle fill and affixing the label are independent, then the probability of a bottle being filled improperly and having an improperly affixed label is

Answers

Answer:

0.0006

Step-by-step explanation:

The probability is

Given that

A denotes the bottle being filled improperly

And,  

B denotes the label on the bottle will not be affixed properly

So,

P(A) = 0.02 ,

ANd, P(B) = 0.03

Also that A and B are independent events.

So, by property of independence is

P(A \cap B) = P(A and B) = P(A) P(B)

= P(A and B) =P(A)P(B)

= 0.02 × 0.03

= 0.0006

Plz help me well mark brainliest if correct.......????

Answers

Answer:

D

Step-by-step explanation:

shows change over time

PLEASE TELL ME THE VALUE

Answers

Answer:

Hello! answer: there are 7 quarters which are worth 25 cents each 6 dimes which are worth 10 cents each

there are 5 nickels which are worth 5 cents each and there are 8 pennies which are worth 1 cent each

the total value off all of these together is $2.68

Helaine graphed the equation 12x−4y=3. What was the slope of Helaine’s line?

Answers

Answer:

The slope is 3

Step-by-step explanation:

12x−4y=3

Solve for y

Subtract 12x from each side

-12x +12x−4y=-12x+3

-4y = 12x+3

Divide each side by -4

-4y/-4 = -12x / -4 +3/-4

y = 3x -3/4

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 3

Answer:

The slope is 3

Step-by-step explanation:

12x−4y=3

Solve for y

Subtract 12x from each side

-12x +12x−4y=-12x+3

-4y = 12x+3

Divide each side by -4

-4y/-4 = -12x / -4 +3/-4

y = 3x -3/4

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 3

Find the volume of this solid figure. Use π = 3.14.

WITH SOLUTION PLEASE AND NO LINKS!​

Answers

Answer:

180

Step-by-step explanation:

volume= (6*5)/2*12 =180 in

The number of residents in a city is 57,000 people. The population is increasing each
year by 1.2%. Write an equation to model this situation.

Answers

y = 0.012x + 57,000

12% translates to 0.012. That number is in front of the x because it changes yearly.

The 57,000 is added afterwards (b) because it was there from the beginning

What is the area of the following picture ( HELP PLEASE )

Answers

Answer:

area=l*b

10*8

80#

Step-by-step explanation:

hope you like it

Venny Had 5 friends she ate 3 of them. The rest ran away. How much friends dose she have now?

Answers

Do you still need help

Borrows 15,200 for 10 months at an annual rate of 4.55%. What is the interest owed after 10 months

Answers

the answer in the photo check it

The base length of a triangle is 4 feet and the height is 2 feet. What is the area of the triangle? (5 points) a 2 square feet b 4 square feet c 6 square feet d 8 square feet

Answers

Answer:

B. 4 square feet

Step-by-step explanation:

The formula for area of a triangle is length x height / 2 so 4 x 2 is 8 then divided by 2 is 4.

Answer: 4

Base 4

hight 2

4x2=8 ÷ 2 or 1/2 Equals 4

Formula L x W ÷ 2 or 1/2

the equation s=2√5x can be used to estimate the speed ,s,of a car in milles per hour, given the length in feet ,x, of the tire marks it leaves on the ground .A card travelling 90 miles per hour came to a sudden stop according to the equation ,how long would the tire marks be for this car A 355 feet B 380 feet C 405 feet D 430 feet

Answers

Answer:

405 feet

Step-by-step explanation:

s = 2 * (√5) * 90

s = 2 * 201.246117975

s = 402.49223595

Closest estimate

405 feet

Answer:

Since The equation that depicts the motion of the Car is given.

The speed in terms of the tire marks...

s= 2√5x

where x is the tire marks(in feet.)

s is the speed(miles per hr)

We can't use the speed in Miles per hr when the tire mark is feet.

1mile = 5280ft

90miles x 5280ft/1mile = 475,200ft/hr

Making x the subject

x= s/2√5

x= 475/200/(2√5 )

=106,257ft

I still can't see what I'm missing or You sure you didn't forget to add something else to the question?

A jar contains 6 red marbles numbered 1 to 6 and 4 blue marbles numbered 1 through 4. A marble is drawn at random from the jar. Find the probability of the given event as a simplified fraction.

A. The marble is red
b. The marble is odd-numbered
c. The marble is red and odd-numbered

Answers

A Can you help me with these questions

mentioned some good points about commerce subject in grade 12??​

Answers

Answer:

You can easily be employed in the future

you can be in any profession such as bank accountant,trader, manager at business etc

Step-by-step explanation:

hope you like it

Answer:

well I like

Step-by-step explanation:

to be honest their all i don't know how to explain but their all OK i guess

help with this question

Answers

9514 1404 393

Answer:

  A = 49π/36 or 59π/36

Step-by-step explanation:

The given angle is coterminal with the same angle modulo 2π.

  (563/36)π = 14π +(59/36)π

so the coterminal angle is 59π/36 ≈ 1.6389π, a 4th-quadrant angle. The 3rd-quadrant angle with the same sine value is found by subtracting this angle from 3π:

  A = 3π -(59π/36) = 49π/36

The two values of A that satisfy the equation are ...

A = 59π/36A = 49π/36

_____

In degrees, the two angles are 245° and 295°.

An expression is shown. Which one of the expressions below is equivalent?

Answers

Answer:

C

Step-by-step explanation:

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