. Why do you add 6 + 4 rs

Answer:

3*∑ (1/2)^n = 6

Step-by-step explanation:

We have the summation from n = 1 to n = ∞, for:

∑ 3/(2)^(n - 1)

We know that the summation between k = 0, and k = N - 1 for:

∑ r^k = (1 - r^N)/(1 - r)

if we have the summation between k = 0 and k = ∞ - 1 = ∞

(here we used that ∞ is really big, then ∞ - 1 = ∞)

In the numerator we will have the term r^∞, if 0 < r < 1, then r^∞ = 0.

Then if we assume that 0 < r < 1 we can write:

∑ r^k =  1/(1 - r)

In our case, we can rewrite our summation as:

3*∑ (1/2)^n

for n = 0 to  n = ∞

You can see that i changed the limits for n, this does not really matter because we are summing between a number and infinity, the only thing you need to take care is that now the power is n, instead of (n - 1)

Then we have r = (1/2) which is clearly smaller than 1.

then (1/2)

Then this summation is equal to:

3*∑ (1/2)^n = 3*( 1/(1 - 1/2)) = 3*( 1/( 2/2 - 1/2)) = 3*( 1/(1/2)) = 3*2 = 6

3*∑ (1/2)^n = 6

Answer:

2sqrt3

Step-by-step explanation:

because it's a 60 30 right triangle. and you have to leave your answer in radical form.

Using the area formula, the height of the cylinder is found to be approximately 7.87 inches.

What is area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.

Use the formula for the volume of a cylinder to relate the radius, height, and volume of the cylinder -

V = πr²h

Where V is the volume, r is the radius, and h is the height of the cylinder.

It is given that the area of the base of the cylinder is 150 square inches.

Since the base of a cylinder is a circle, the area of the base is given by -

A = πr²

Where A is the area of the base and r is the radius.

Solving for r -

r² = A/π = 150/π

Use the given volume and radius to solve for the height -

V = πr²h

1050 = π(150/π)²h

h ≈ 7.87 inches

Therefore, the height is 7.87 inches.

To learn more about area from the given link

https://brainly.com/question/25292087

#SPJ1

Answer:

y = 4/5x

Step-by-step explanation:

Points on the graph: (5, 4) and (0, 0)

Slope:

m=(y2-y1)/(x2-x1)

m=(0-4)/(0-5)

m=(-4)/(-5)

m= 4/5

Slope-intercept:

y - y1 = m(x - x1)

y - 4 = 4/5(x - 5)

y - 4 = 4/5x - 4

y = 4/5x

Answer:

20, i guess. im only middle school so im guessing it

Answer:B.√13

Step-by-step explanation:

Hope this helps!

a=p2+q2

2=62+42

2≈3.60555

Answer:

independent= f

dependent= g

Answer:

2d or 2 dimensional is the answer i think

Step-by-step explanation:

since area is measured for 2d shapes and surface area is just finding the area of each side separately and adding it together

Answer:

i don't remember sorry o know thos was no help sorry

Answer:

=-1

Step-by-step explanation:

-10+2d=8

-10 from 8

2d=-2

divode both sides by 2

d=-1

Answer:

1234minutos de los pobres de los pinzones

Answer:

4,000

_______

*rate this answer and say thanks please!

Answer:

I got this answer right its 56

Step-by-step explanation:

I got this question right

Interpreting the Venn diagram given, the number of males with brown eyes or brown hair can be deduced to be 74

Number with brown eyes or brown hairs :

Brown eyes + Brown hairs + Both brown hairs and brown eyes

(34 + 22 + 18) = 74

Therefore, 74 males have brown eyes or brown hairs

Learn more : https://brainly.com/question/17225268

Answer:

c

Step-by-step explanation:

since there are two mode that means it is 6 and 8 and mode is how many time a number appears

Answer:

x=0.5

My previous answer got deleted

Step-by-step explanation:

11+6x=2x-13

11-11+6x=2x-13-11

6x=2x-24

6x-2x=2x-2x-24

4x=-24

x=-6

Answer:

more than two

Step-by-step explanation:

she can make one triangle and flip the angles making it more than 2. she could also make many different varieties of triangles.

Answer:

−2(2n−w+8)

Step-by-step explanation: hoped I helped

Answer:

Factor

-2 out of -4n + 2w -16. -2 (2n - w + 8)

Step-by-step explanation:

Answer:

The cost of one gallon of gas in Toronto, Canada is $3.458.

Solution:

Given, One gallon of gasoline in buffalo, New York costs $2.29.  

In Toronto, Canada, one liter of gas costs $0.91.  

There are 3.8 liters in one gallon.  

We have to find how much does one gallon of gas cost in Toronto?

Now, cost of one gallon of gas in Toronto = cost of one litre of gas in Toronto x 3.8 liters for 1 gallon.

Cost of one gallon of gas = 0.91 x 3.8 = 3.458

Hence, the cost of one gallon of gas in Toronto, Canada is $3.458.

dome7w and 28 more users found this answer helpful

Step-by-step explanation:

Answer:

area = 90 cm²

Step-by-step explanation:

area = 1/2bh = 1/2(12)(15) = 90 cm²

Answer:

M=0, b= 3 csc (20)

Step-by-step explanation:

Answer:

CD= 9

Step-by-step explanation:

AD and CD are the same length. The length of AD is 9. So the length of CD will also be 9. I hope that helps.

Answer:

B 25.2

Step-by-step explanation:

AB = AC - BC

= 51.8 - 26.6 = 25.2

Answer:

2.67 x 10^3

Step-by-step explanation

The exponent is equal to how many numbers are after the decimal point. So, since there are 3 numbers after the decimal point, the exponent would be 3. Hope this helps :)

Answer:

There are 600 gumballs