For a science project, James needs to fill a tennis ball with sand but he doesn't know how much he will need. He measured the diameter of the tennis ball and found it
to be 6 cm. Which of the following would be the approximate amount of sand he would need?

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:

c. x-intercept is (6, 0) and the y-intercept is (0, 10).

Step-by-step explanation:

i hope this helps :)

Answer:

B 25.2

Step-by-step explanation:

AB = AC - BC

= 51.8 - 26.6 = 25.2

Given:

The graph of a trend line.

To find:

The equation of the trend line.

Solution:

From the given graph it is clear that the trend line passes through the points (0,4) and (9,7). So, the equation of the trend line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-4=\dfrac{7-4}{9-0}(x-0)[/tex]

[tex]y-4=\dfrac{3}{9}(x)[/tex]

[tex]y=\dfrac{1}{3}x+4[/tex]

Therefore, the equation of the trend line is [tex]y=\dfrac{1}{3}x+4[/tex].

Answer:

V = 405.04

Step-by-step explanation:

Volume of a cone:

V = πr²(h/3)

V = 3.14(6.1²)(10.4/3)

V = 3.14(37.21)(10.4/3)

V = 405.04

Answer:

independent= f

dependent= g

Answer:

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

Answer:

4,000

_______

*rate this answer and say thanks please!

Answer:

Step-by-step explanation:1.10+1.10+1.10+1.00+1.00+1.00+1.00

Answer:

Step-by-step explanation: 1.50

Answer:

2sqrt3

Step-by-step explanation:

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

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:

a or c Im not sure

Step-by-step explanation:

I think b though

The line which represents the speed as 10 feet per second is line B thus none of the given options are correct.

A graph is a diametrical representation of any function between the dependent and independent variables.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

As per the given,

Loren is running at speed of 10 feet per second.

Speed = distance covered/time taken

10 = distance covered/time taken

In line B, the ratio of distance covered/time taken is 10.

Thus, line B will be correct.

Hence "The line which represents the speed as 10 feet per second is line B thus none of the given options are correct".

To learn more about graphs,

brainly.com/question/16608196

#SPJ5

Answer:

B) -3 < -2

Step-by-step explanation:

The smaller the negative number, the more "positive" it is. Also, -2 is more than -3 because it is closer to 0.

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:

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:

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:

t = 43

Step-by-step explanation:

t - 40 = 3

t = 43

Add 40 to both sides.

Answer:

-8/3

Step-by-step explanation:

2 - x = - 6 - 4x      <-- Add 4x to the left side

2 + 3x = - 6          <-- Subtract 2 from the left side

3x = -8             <-- Divide 3 on both sides

x = -8/3

Answer:

x = -8/3

Step-by-step explanation:

Consolidate x terms on the right side:

2-x= -6-4x becomes 2-x + x = -6-4x + x, which in turn becomes:

2 = -6 - 3x, or 3x = -8.  Then, dividing both sides by 3, we get x = -8/3

Answer:

One triangle

Step-by-step explanation:

That's the answer....

Sandy's $8.50 been on the deli counter.

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:

one solution (-4, -1)

Step-by-step explanation:

I hope this helps :)

Answer:

5

Step-by-step explanation:

You can find the slope with rise over run. Rise means up and run means moving right or left. In this case rise is 10 and run is 2. This means the fraction will look like 10/2. Simplify this to get 5 and that is your answer.

Hope this helps.

Answer:

slope 10/2=5

Step-by-step explanation:

10 rise

2 run

Answer:

Step-by-step explanation:

Slope = (Difference of y-coordinates)/(difference of x-coordinates)

= (-4 - 2)/(-1 - 3)

= (-6)/(-4)

= 3/2

Answer:

false

Step-by-step explanation:

all parallelograms are not square

their opposite sides only equal