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3 years ago

What is the sum of the infinite series: 1-4+16-64+. . .

Mathematics

1 answer:

Andrei [34K]3 years ago

5 0

Step-by-step explanation:

I think we cannot find the sum because it will continue on so the series is multiply by 4

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If the radius of the right cylinder is 5 in and the radius of the oblique cylinder is 4 in, they will have the same volume as lo

steposvetlana [31]

Answer:

False

Step-by-step explanation:

The volume of a right cylinder is given by the formula:

$V=\pi r^2h$

And the volume if a oblique cylinder is <em>also</em> given by the formula:

$V=\pi r^2h$

Regardless of the height, if the radius are different, then the volume would not be the same.

Algebraically:

$\pi(4)^2h\neq\pi(5)^2h\\16\pi\neq25\pi$

3 0

3 years ago

He formula for density is given by , where p is density, M is mass and V is volume. If a substance has a mass of 27.82 grams and

Vera_Pavlovna [14]

Answer:

p = [27.82] ÷ [3.6]

p = 7.727·

p = 7.728 (3dp)

The answer is B)

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

PLEASE HELP ME ASAP ?!?!?

GaryK [48]

Answer:

m = 5 n = $\frac{5\sqrt{3} }{2}$

Step-by-step explanation:

5/2x2=5

5/3xsqrt3=5sqrt3/2

3 0

2 years ago

Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per mi

miss Akunina [59]

Answer:

Mean = 0, Standard deviation = 1

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 77.5 beats per minute

Standard Deviation, σ = 11.6 beats per minute

We are given that the distribution of pulse rates of women is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Putting the values, we get,

$z_{score} = \displaystyle\frac{x-77.5}{11.6}$

After, the standardization, that is conversion of all pulse rates of women to z scores, the mean of the distribution is 0 and standard deviation is 1.

Mean = 0, Standard deviation = 1

7 0

3 years ago

Whats the lcd of 1/7,14/17,12/13,5/6

gizmo_the_mogwai [7]

LCD (1/7, 14/7, 12/13, 5/6)

LCM = (7, 7, 13, 6)

= 2 * 3 * 7 * 13

= 546

1/7 = 78/546

14/7 = 1092/546

12/13 = 504/546

5/6 = 455/546

Calculation:

1/7 + 14/7

= 1 + 14/7

= 15/7

The common denominator you can calculate as the least common multiple of the both denominators: LCM (7, 7) = 7

Add:

15/7 + 12/13

= 15 . 13/7. 13 + 12 . 7/13 . 7

= 195/91 + 84/91

= 195 + 84/91

= 279/91

The common denominator you can calculate as the least common multiple of the both denominators: LCM (7, 13) = 91

Add:

279/91 + 5/6

= 279 . 6/91 . 6 + 5 . 91/6. 91

= 1674/546 + 455/546

= 1674 + 455/546

= 2129/546

The common denominator you can calculate as the least common multiple of the both denominators: LCM (91, 6) = 546

Hence, 546 is the LCM/LCD of (1/7, 14/17, 13/13, 5/6).

Hope that helps!!!!!!

3 0

3 years ago