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Solve for X
x+3 1/3=8 1/2

Answers

Answer 1

Answer:

Answer:x= 31/6

Step-by-step explanation:

Solve for

by simplifying both sides of the equation, then isolating the variable.

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What’s the correct answer for this?
Can someone help me? Please i need this done

Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that Rn(x) ? 0.]f(x) = 10/x , a= -2f(x) = \sum_{n=0}^{\infty } ______Find the associated radius of convergence R.R = ______

Answers

Rewrite $f$ as

$f(x)=\frac{10}x=-\frac5{1-\frac{x+2}2}$

and recall that for $|x|<1$ , we have

$\displaystyle\frac1{1-x}=\sum_(n=0)^\infty x^n$

so that for $\left|\frac{x+2}2\right|<1$ , or $|x+2|<2$ ,

$f(x)=-5\displaystyle\sum_(n=0)^\infty\left(\frac{x+2}2\right)^n$

Then the radius of convergence is 2.

Final answer:

The Taylor series for the function f(x) = 10/x, centered at a = -2, is given by the formula ∑(10(-1)^n*n!(x + 2)^n)/n! from n=0 to ∞. The radius of convergence (R) for the series is ∞, which means the series converges for all real numbers x.

Explanation:

Given the function f(x) = 10/x, we're asked to find the Taylor series centered at a = -2. A Taylor series of a function is a series representation which can be found using the formula f(a) + f'(a)(x-a)/1! + f''(a)(x-a)^2/2! + .... For f(x) = 10/x, the Taylor series centered at a = -2 will be ∑(10(-1)^n*n!(x + 2)^n)/n! from n=0 to ∞. The radius of convergence R is determined by the limit as n approaches infinity of the absolute value of the ratio of the nth term and the (n+1)th term. This results in R = ∞, indicating the series converges for all real numbers x.

Learn more about Taylor series here:

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Consider an unreliable communication channel that can successfully send a message with probability 1/2, or otherwise, the message is lost with probability 1/2. How many times do we need to transmit the message over this unreliable channel so that with probability 63/64 the message is received at least once? Explain your answer. Hint: treat this as a Bernoulli process with a probability of success 1/2. The question is equivalent to: how many times do you have to try until you get at least one success?

Answers

Answer:

6 times we need to transmit the message over this unreliable channel so that with probability 63/64.

Step-by-step explanation:

Consider the provided information.

Let x is the number of times massage received.

It is given that the probability of successfully is 1/2.

Thus p = 1/2 and q = 1/2

We want the number of times do we need to transmit the message over this unreliable channel so that with probability 63/64 the message is received at least once.

According to the binomial distribution:

$P(X=x)=(n!)/(r!(n-r)!)p^rq^(n-r)$

We want message is received at least once. This can be written as:

$P(X\geq 1)=1-P(x=0)$

The probability of at least once is given as 63/64 we need to find the number of times we need to send the massage.

$(63)/(64)=1-(n!)/(0!(n-0)!)(1)/(2)^0(1)/(2)^(n-0)$

$(63)/(64)=1-(n!)/(n!)(1)/(2)^(n)$

$(63)/(64)=1-(1)/(2)^(n)$

$(1)/(2)^(n)=1-(63)/(64)$

$(1)/(2)^(n)=(1)/(64)$

By comparing the value number we find that the value of n should be 6.

Hence, 6 times we need to transmit the message over this unreliable channel so that with probability 63/64.

For what value of c is the relation a function?

Answers

Answer:the answer is 1, b option i just take the tes

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is one

A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq. Ft. How much were the dimensions increased?

Answers

The dimensions increased by 4 feet.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Given;

Dimensions of rectangle = 12 + x and 14 + x

The area of the rectangle= (12 + x) (14 + x) = 288

x² + 26x + 168 = 288

x² + 26x - 120 = 0

(x + 30) (x - 4) = 0

x=-30, x =4

Hence, The dimensions increased by 4 feet.

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Answer:

4 ft

Step-by-step explanation:

288=16 * 18

12+4=16

14+4=18

Please answer 2-5 and 7-9 asap

Answers

Answer:

i dont have that

Step-by-step explanation:

Amy raises $58.75 to participate in a walk-a-thon. Jeremy raises $23.25 more than Amy. Oscar raises 3 times as much as Jeremy. How much does Oscar raise? Please show work and equation and this is 5th grade math.1. 246.00
2. 245.00
3. 246.08

Answers

Answer:

246.000

Step-by-step explanation:

Well If you take it and Line it up like this,

(A)Amy; 58.75

(J)Jeremy; A+23.25

(O)Oscar; A+23.25= ?x3

This is an easy way to find out what it is you need to do, So A+23.25 is 58.75+23.2 which should give you the value of 82, which brings you to the next step of A+23.25= ?x3 which in this you only wanna focus on the ?x3, we now know ?= 82 so this brings it to 82 times 3 which gives you a value of 246. Thus giving you your answer.