find the surface area of composite figure. use 3.14 for π. round to the nearest tenth

The taylor series for the f(x)=8/x centered at the given value of a=-4 is -2+2(x+4)/1!-24/16 [tex](x+4)^{2}[/tex]/2!+...........

Given a function f(x)=9/x,a=-4.

We are required to find the taylor series for the function f(x)=8/x centered at the given value of a and a=-4.

The taylor series of a function f(x)=[tex]f(a)+f^{1}(a)(x-a)/1!+ f^{11}(a)(x-a)^{2} /2! +f^{111}(a)(x-a)a^{3}/3!+..........[/tex]

Where the terms in f prime [tex]f^{1}[/tex](a) represent the derivatives of x valued at a.

For the given function.f(x)=8/x and a=-4.

So,f(a)=f(-4)=8/(-4)=-2.

[tex]f^{1}[/tex](a)=[tex]f^{1}[/tex](-4)=-8/([tex]-4)^{2}[/tex]

=-8/16

=-1/2

The series of f(x) is as under:

f(x)=f(-4)+[tex]f^{1}(-4)(x+4)/1!+ f^{11}(-4)(x+4)^{2}/2!.............[/tex]

[tex]=8/(-4)-8/(-4)^{2} (-4)(x+4)/1!+ 24/(-4)^{3} (-4)(x+4)^{2}/2!.............[/tex]

=-2+2(x+4)/1!-24/16 [tex](x+4)^{2}[/tex]/2!+...........

Hence the taylor series for the f(x)=8/x centered at the given value of a=-4 is -2+2(x+4)/1!-24/16 [tex](x+4)^{2}[/tex]/2!+...........

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Using translation concepts, the expression for h(x) is given as follows:

[tex]h(x) = \sqrt{x + 4} - 1[/tex]

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the parent function is:

[tex]f(x) = \sqrt{x}[/tex]

For the translations, we have that:

Then the expression for h(x) is given as follows:

[tex]h(x) = \sqrt{x + 4} - 1[/tex]

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The margin of sampling error for a 95% confidence interval is 9.7%

The formula for margin of error here is;

E = z√(p(1 - p)/N)

where;

n is sample size

z is the z score

p is the sample proportion

z-score for a 95% confidence interval from tables is 1.96.

We are given;

p = 43% = 0.43

n = 100

Thus;

E = 1.96√(0.43(1 - 0.43)/100)

E =  0.097 = 9.7%

Thus, we can conclude that  the margin of sampling error for a 95% confidence interval is 9.7%

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The output, y, when the input, x, is -5 is -2

The input is given as:

-5

This means that

x = -5

This is so because x represents the input

From the graph, we have the following highlight

The line of the graph passes through the point x = -5

On the graph;

When x = -5, the value of y is -2

This means that the output, y, when the input, x, is -5 is -2

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Answer:

3 3/4 hour

Step-by-step explanation:

(3/4) ÷ (1/5) = (3*5) / (4*1)

= 15/4 hour

15/4 = 12/4 + 3/4 = 3 + 3/4 hour

= 3 3/4 hour

The inequality in the box has to be written as

x² + 2x - 80 ≤ - 65

We have

(10 + x)1 * (16-2x) ≥ 130

Next we would have to open the bracket

160 + 16x - 20x - 2x² ≥ 130

Then we would have to arrange the equation

- 2x² - 4x + 160 ≥ 130

Divide the equation by two

- x² - 2x + 80 ≥ 65

This is arranged as

x² + 2x - 80 ≤ - 65

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The the /ta/ sound is the sound which listeners are likely to report hearing. The option B is correct option.

According to the statement

we have given that the The voice onset time (vot) for the sound /da/ is 17 ms, and the vot for the sound /ta/ is 91 msec. and we have to find the sound which listeners are likely to report hearing.

So, For this purpose, we know that the

Traffic announcement (TA) refers to the broadcasting of a specific type of traffic report on the Radio Data System. It is generally used by motorists, to assist with route planning, and for the avoidance of traffic congestion.

And according to this and the voice onset time is

The brief instant that elapses between the initial movement of the speech organs as one begins to articulate a voiced speech sound and the vibration of the vocal cord.

And according to this

the /ta/ sound is the sound which is the like by the listeners are likely to report hearing.

So, The the /ta/ sound is the sound which listeners are likely to report hearing. The option B is correct option.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

The voice onset time (VOT) for the sound /da/ is 17 ms, and the VOT for the sound /ta/ is 91 msec. When a computer produces a sound with a VOT of 65 msec, listeners are likely to report hearing

a. the /da/ sound

b. the /ta/ sound

c. the /ja/ sound

d. a combination of /ta/ and /da/

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The number of classes Anna can take so the total cost for the month will be the same is 5.

The monthly cost would be  $37.50.

When the monthly cost is equal, both equations would be equal: 7.5x = 5.5x + 10

In order to determine the value of x, take the following steps:

Monthly cost when the cost is the same: 7.5 x 5 = $37.50

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Answer:

5 classes

37.50

Step-by-step explanation:

got it right on edge

The number of cats is an illustration of inequalities and your neighbor has 4 cats before she bought the 2 new cats

Inequalities are expressions, numbers and mathematical statements that have unequal values when compared and/or evaluated

We start by representing the initial number of cats with x.

From the question, the new cats she bought are

New = 2

So, we have

x + New greater than 5

Rewrite properly as

x + New > 5

Substitute known values in the above inequality

x + 2 > 5

Subtract 2 from both sides

x + 2 - 2 > 5 - 2

Evaluate the right-hand side

x + 2 - 2 > 3

Evaluate the left-hand side

x > 3

The smallest integer number greater than 3 is 4

Hence, your neighbor has 4 cats before she bought the 2 new cats

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Answer:12

Step-by-step explanation:

Answer:

8.  -3, 16

9.  -3, 4.5

Step-by-step explanation:

See attached worksheet.

1.   he ate 1/4 of the bucket

2.   4 of the pool floaties are yellow.

3.   she paid 4$ for the cookies

4 .  3 members of the band play the drums

5.   45 minutes

Answer:

1.  Ansley eats 1/4 of the popcorn bucket

2. He bought 4 yellow floats

3. She pays 4 pounds for the cookies

4. 3 members of the band play the drums

5. They spent 45 minutes jumping on the trampoline

Step-by-step explanation:

If you would like the explanation, I can comment it below (≧∇≦)/ xx

Hope this helps! ♡

Using the Poisson distribution, there is a 0.8335 = 83.35% probability that 2 or fewer will be stolen.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

The probability that a rental car will be stolen is 0.0004, hence, for 3500 cars, the mean is:

[tex]\mu = 3500 \times 0.0004 = 1.4[/tex]

The probability that 2 or fewer cars will be stolen is:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-1.4}1.4^{0}}{(0)!} = 0.2466[/tex]

[tex]P(X = 1) = \frac{e^{-1.4}1.4^{1}}{(1)!} = 0.3452[/tex]

[tex]P(X = 2) = \frac{e^{-1.4}1.4^{2}}{(2)!} = 0.2417[/tex]

Then:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2466 + 0.3452 + 0.2417 = 0.8335[/tex]

0.8335 = 83.35% probability that 2 or fewer will be stolen.

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Answer:

The value of x = 14 ...

The value of ∠AED = ( 7x + 15) = 7(14) + 15 = 113

The value of ∠AEB = 5x-3 = 5(14) -3 = 67

Step-by-step explanation:

=> ∠BEC = ∠AED { vertically opposite angles }

∠AED = (7x + 15)°

=> ∠AEB + ∠BEC = 180° { linear pair }

=> ( 5x-3) + ( 7x+15) = 180°

=> 5x -3 + 7x + 15 = 180°

=> 12x + 12 = 180°

=> 12( x +1 ) = 180°

=> x+1 = 180/12

=> x +1 = 15

=> x = 15-1

=> x = 14

Answer:

15?

Step-by-step explanation:

2×15=30 i am not fully sure but this should be it

Answer:

Rs 400 is the cost of an article for Ram.....

Step-by-step explanation:

X - cost of an article for Ram

120% = 1.2

1.2*X - Ram’s selling price

5% = 0.05

1.2*X*0.05 - Shyam selling price

1.2*X*0.05 = 504

X = Rs 400 is the cost of an article for Ram

Hope it Helps!!!!

The number of outcomes possible from flipping each coin is 2, therefore;

The possible outcome of flipping 4 coins is given by the sum of the possible combinations of outcomes as follows;

The number of possible outcome from flipping the first coin = 2 (heads or tails)

The outcomes from flipping the second coin = 2

The outcome from flipping the third coin = 2

The outcome from flipping the fourth coin = 2

The combined outcome is therefore;

Outcome from flipping the 4 coins = 2 × 2 × 2 × 2

The correct option is therefore;

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Answer:

The answer is B.

[tex] \frac{1025}{4} [/tex]

Step-by-step explanation:

[tex] \frac{x {}^{6} - x}{4y} ...substitute \: x = - 4 \: and \: y = 4 \\ \frac{( - 4) {}^{6} - (- 4) }{4(4)} ...apply \: exponent \: rule \\ \frac{4096 + 4}{16} = \frac{4100}{16} = \frac{1025}{4} [/tex]

(-4)^6 - - 4 / 4 x 4

4096 + 4 / 16

4100/16

= 1025/4

So, answer is B. 1025/4

Hope this helps!

Answer:

the answer is 13.75

Step-by-step explanation:

Saul earned 220 of 16 dogs so

when you divide 220 with 16 the answer be 13.75

[tex]220 \div 16[/tex]

[tex]13.75[/tex]

when you multiply 13.75 by 16 the answer be 220

[tex]13.75 \times 16 \\ 220[/tex]

please mark as brainlist I only want 2 more please

May it helpful to you

thank you

Answer: 1/2, 1/2, 1/4

Step-by-step explanation:

To find the fraction that the hour hand turns of a clockwise revolution, we have to find how long it is going then divide by 12

Ex. a) 11 - 5 = 6, 6/12 = 1/2 so the hour hand turns by 1/2 of a clockwise revolution

b) 8 - 2 = 6, 6/12 = 1/2 so the hour hand turns by 1/2 of a clockwise revolution

c) For this, we have to convert 1 into 13 as 1 - 10 is a negative number

13 - 10 = 3, 3/12 = 1/4 so the hour hand turns by 1/4 of a clockwise revolution

The answers are :

a) 1/2

b) 1/2

c) 1/4

To find the fraction of a clockwise revolution, take the ratio between hours covered and hours covered in one revolution.

a)

b)

c)

Answer:

Negative.

Step-by-step explanation:

b is above zero. So, it is positive.

c is below zero. So, it is negative.

A positive divided by negative number results in negative.

Answer:

B. negative

Step-by-step explanation:

-2 is negative. That's why.

Answer:

-12

Step-by-step explanation:

2^p = ⅛⁴

⅛ x ⅛ x ⅛ x ⅛ = 1/4096

2^p = 4096

log base 2 of 1/4096 = -12

Answer:

x = 75

Step-by-step explanation:

Given information from the question:

x - 3y = 30

y = 15

We can substitute y = 15 into the equation to find x.

x - 3(15) = 30

x - 45 = 30

x - 45 + 45 = 30 + 45

x = 75

Answer:

75

Step-by-step explanation:

x-3y=30

x-3×15=30

x-45=30

x=30+45

x=75

Answer: D 1881

Step-by-step explanation: 6889 and 1961 don't read the same forwards and backward. 1991 upside down is 1661. So, only 1881 works

Answer:

.06

Step-by-step explanation:

add all the 4 values listed, plus the .06

divide by 5

you get -.01

:)

The become in the inequality form is -3≥x≥4.

According to the statement

we have given that the statement and we have to write this condition in the form of the inequality.

So, we know that the

Inequality, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

It is represented with the grater than or less than or equal to signs.

so, the given statement is

x is less than or equal to negative 3 or greater than or equal to 4

and we have to write in the inequality condition so,

we have to write it but before this break the statement like

x is less than or equal to negative 3

And

x is greater than or equal to 4.

So,

-3≥x≥4.

So, The become in the inequality form is -3≥x≥4.

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The star system is pictured is  open cluster

A type of star cluster known as an open cluster is composed of up to a few thousand stars that are around the same age and originated from the same massive molecular cloud. Within the Milky Way galaxy, more than 1,100 open clusters have been found, and it is believed that there are many more.

The Sun and the things that circle it make up the gravitationally bound solar system. It was created 4.6 billion years ago when a massive interstellar molecular cloud collapsed because to gravity. The Sun is the system's primary mass source, while Jupiter is home to the majority of the system's leftover mass.

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I understand that the question you are looking for is :

| Will mark brainliest | Which type of star system is pictured? |

A. globular cluster

B. open cluster

C. binary

Answer:

B

Step-by-step explanation:

open cluster

The z-score to the normal distribution table is 1.625

The standard score is the number of standard deviations by which the value of a raw score is above or below the mean value of what is being observed or measured.

The formula for calculating the z-score is expressed as;

z = x-μ/σ

where

μ is the mean of the data

σ is the standard deviation

x is the value

Given the parameters

μ = 25.1

σ = 2.4

x = 29

Substitute the given parameters

z = 29-25.1/2.4

z = 3.9/2.4

z = 1.625

Hence the z-score to the normal distribution table is 1.625

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Answer:

  (a) 48, 52, 54

  (b) 6

  (c) b, c

Step-by-step explanation:

The sample mean is the mean of the sample. The range of sample means is the difference between the largest and smallest. As with all sampling processes, more data gives a better estimate.

The sample means are calculated in the attachment. For the different samples, they are ...

The range of the sample means is the difference between the largest and the smallest:

  range = 54 -48 = 6

More data is better, and the closer the estimates are to each other, the better confidence they offer. The true statements are ...

By the ratio test, the series converges for all [tex]x[/tex], since

[tex]\displaystyle \lim_{k\to\infty} \left|\frac{(k+1)^2 x^{k+4}}{(k+1)!} \cdot \frac{k!}{k^2 x^{k+3}}\right| = |x| \lim_{k\to\infty} \frac{(k+1)^2 k!}{k^2 (k+1)!} = |x| \lim_{k\to\infty} \frac1{k+1} = 0 < 1[/tex]

Then the radius of convergence is R = ∞, and the interval of convergence is the entire real line, -∞ < x < ∞.

The radius of convergence R is ∞ and the interval of convergence is (-∞, ∞) for the given power series. This can be obtained by using ratio test.  

Ratio test is the test that is used to find the convergence of the given power series.  

First aₙ is noted and then aₙ₊₁ is noted.

For  ∑ aₙ,  aₙ and aₙ₊₁ is noted.

[tex]\lim_{n \to \infty} | \frac{a_{n+1} }{a_{n} } |[/tex] = β

Here aₙ = (n²/n!) xⁿ⁺³  and  aₙ₊₁ = ((n+1)²/(n+1)!) xⁿ⁺¹⁺³ = ((n+1)²/(n+1)!) xⁿ⁺⁴

Now limit is taken,

[tex]\lim_{n \to \infty} | \frac{a_{n+1} }{a_{n} } |[/tex] = [tex]\lim_{n \to \infty} | \frac{((n+1)^{2} /(n+1)!) x^{n+4} }{(n^{2} /n!) x^{n+3} } |[/tex]

                      = [tex]\lim_{n \to \infty} | \frac{((n+1)^{2} ) n!x^{n+4} }{(n+1)!(n^{2} ) x^{n+3} } |[/tex]

                      = [tex]\lim_{n \to \infty} | \frac{((1+1/n)^{2} ) x }{(n+1)} |[/tex]  

                      =   [tex]\lim_{n \to \infty} | \frac{ x }{(n+1)} |[/tex]  = 0 < 1

Since the limit is less than 1 the series is converging.

We get that,

interval of convergence = (-∞, ∞)

radius of convergence R = ∞

Hence the radius of convergence R is ∞ and the interval of convergence is (-∞, ∞) for the given power series.

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