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il63 [147K]
3 years ago
12

how is the sentence "10 more than p is –3" written as an equation? – 3 = 10 p 10 = –3 p 10 = 3 p = 10 – 3

Mathematics
1 answer:
yarga [219]3 years ago
8 0
This is saying that -3 is the result of a number "p" plus 10...therefore the equation is p+10=-3
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Find the sum of the convergent series. (round your answer to four decimal places. ) [infinity] (sin(9))n n = 1
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The sum of the convergent series \sum_{n=1}^{\infty}~(sin(1))^n is 5.31

For given question,

We have been given a series \sum_{n=1}^{\infty}~(sin(1))^n

\sum_{n=1}^{\infty}~(sin(1))^n=sin(1)+(sin(1))^2+...+(sin(1))^n

We need to find the sum of given convergent series.

Given series is a geometric series with ratio r = sin(1)

The first term of the given geometric series is a_1=sin(1)

So, the sum is,

= \frac{a_1}{1-r}

= sin(1) / [1 - sin(1)]

This means, the series converges to sin(1) / [1 - sin(1)]

\sum_{n=1}^{\infty}~(sin(1))^n

= \frac{sin(1)}{1-sin(1)}

= \frac{0.8415}{1-0.8415}

= \frac{0.8415}{0.1585}

= 5.31

Therefore, the sum of the convergent series \sum_{n=1}^{\infty}~(sin(1))^n is 5.31

Learn more about the convergent series here:

brainly.com/question/15415793

#SPJ4

7 0
1 year ago
A package is dropped from a helicopter that is moving upward at 20.0 m/s. If it takes 18.0s before the package strikes the groun
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Answer:

We have for velocity of package v= 20 - 9.8t and for distance from the ground y = h + 20t - 4.9t2.

We have y = 0 and t = 18.0 s we have h = 4.9·182 - 20·18 = 1227.6 m.

Velocity at landing v = 20 - 9.8·18 = - 156.4 m/s

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4 years ago
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Answer: 5/36

Step-by-step explanation: We know that A U B means all the possible combinations that make event A or event B true. As we know, the only combinations that can make 4 is 1+3, 2+2, or 3+1, and the only combinations that can maker 11 is 5+6 and 6+5. This leaves us with a total of 5 combinations, and with a total of 36 combinations, that means that there is a 5/36 chance that the combinations of the dice add to either 4 or 11.

5 0
3 years ago
Help me I am stuck ❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❕❗️
julsineya [31]

Answer:

8. x=-5 and y=7

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11. x=8 and y=-4

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13.x=4 and y=10

14. x=5 and y=-7

Step-by-step explanation:

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a food service employee places an empty container that weighs 8 ounces in a digital scale and forgets to zero the scale before a
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There is 7 ounces of flour in the container  <span />
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