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3 years ago

8

Ummm... help please? Thanks.

1 answer:

Leni [432]3 years ago

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64 teams began the tournament

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What is the sum of the infinite geometric series 1 - 1/2 + 1/4 - 1/8 + 1/16

mina [271]

Answer: The answer is 11/16

Step-by-step explanation:

PEMDAS theres only addition and subtraction so we figure out this equation left to right.

1-1/2=1/2

1/2+1/4=3/4

3/4-1/8=5/8

5/8+1/16=11/16

6 0

3 years ago

Suppose a and b are both non zero real numbers. Find real numbers c and d such that 1/a+ib= c+id

Thepotemich [5.8K]

$\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

Explanation

$\frac{1}{a+bi}=c+di$

Step 1

multiplicate by the conjugate

$\begin{gathered} \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(bi)^2} \\ \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(-b^2)}=\frac{a-bi}{a^2+b^2} \end{gathered}$

notice that

$\begin{gathered} \frac{1}{a+bi}=\frac{a-bi}{a^2+b^2}=\frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i \\ \frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i=c+di \\ so \\ \end{gathered}$ $\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

I hope this helsp you

6 0

1 year ago

In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer . Roy answered all t

katovenus [111]

Answer:

20 questions

Step-by-step explanation:

Given

$Correct \Marks= +5$

$Incorrect\ Marks= -2$

$Score\ Obtained = 30$

$Number\ of\ correct\ answers = 10$

Required

Number of questions answered

First, we need to get the total correct marks obtained by Roy

This is calculated by multiplying the correct marks by number of correct answers

$Total = +5 * 10$

$Total = +50\ marks$

Subtract this from the total scores obtained; This gives the total incorrect answer obtained by Roy

$Incorrect = Scores\ Obtained - Total$

$Incorrect = 30 - (+50)$

Open bracket

$Incorrect = 30 - 50$

$Incorrect = -20$

Divide this by -2 to get the number of incorrect answers

$Incorrect\ Answers = \frac{-20}{-2}$

$Incorrect\ Answers = 10$

Add this to the number of correct answers to give the total number of question answered

$Total = Correct\ Answers + Incorrect\ Answers$

$Total = 10 + 10$

$Total = 20$

<em>Hence, Roy answered a total of 20 questions</em>

3 0

3 years ago

What is the probability that a data value in a normal distribution is between a

Llana [10]

Answer:

answer b.....plz follow me

7 0

3 years ago

Read 2 more answers

The sum of the first four terms of an arithmetic sequence is $10$. If the fifth term is $5$, what is the sixth term?

Nookie1986 [14]

The sixth term of an arithmetic sequence is 6

<h3>How to find arithmetic sequence?</h3>

The sum of the first four terms of an arithmetic sequence is 10.

The fifth term is 5.

Therefore,

sum of term = n / 2(2a + (n - 1)d)

where

a = first term
d = common difference
n = number of terms

Therefore,

n = 4

10 = 4 / 2 (2a + 3d)

10 = 2(2a + 3d)

10 = 4a + 6d

4a + 6d = 10

a + 4d = 5

4a + 6d = 10

4a + 16d = 20

10d = 10

d = 1

a + 4(1) = 5

a = 1

Therefore,

6th term = a + 5d

6th term = 1 + 5(1)

6th term = 6

learn more on sequence here: brainly.com/question/24128922

#SPJ1

7 0

1 year ago