Is the following relation a function?

Yes
or
No

Answer:

(x − π)⁷ / 5040

(x − 1)³ / 16

Step-by-step explanation:

Taylor series expansion of a function is:

f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(x₀) / n! (x − x₀)ⁿ

where f⁽ⁿ⁾(x₀) is the nth derivative evaluated at x₀.

For the first problem, f(x) = sin x and x₀ = π.  We want the seventh degree term, so n = 7.

The seventh degree term is therefore: f⁽⁷⁾(π) / 7! (x − π)⁷

Find the seventh derivative of sin x:

f(x) = sin x

f⁽¹⁾(x) = cos x

f⁽²⁾(x) = -sin x

f⁽³⁾(x) = -cos x

f⁽⁴⁾(x) = sin x

f⁽⁵⁾(x) = cos x

f⁽⁶⁾(x) = -sin x

f⁽⁷⁾(x) = -cos x

Evaluated at π, f⁽⁷⁾(x) = 1.  So the seventh degree term is (x − π)⁷ / 5040.

For the second problem, f(x) = √x and x₀ = 1.  We want the third degree term,  so n = 3.

The third degree term is therefore: f⁽³⁾(1) / 3! (x − 1)³

Find the third derivative of √x:

f(x) = √x

f⁽¹⁾(x) = ½ x^-½

f⁽²⁾(x) = -¼ x^-³/₂

f⁽³⁾(x) = ⅜ x^-⁵/₂

Evaluated at 1, f⁽³⁾(x) = ⅜.  So the third degree term is (x − 1)³ / 16.

Answer:

$45,337.5

Step-by-step explanation:

1. 2.5 * 5 = 12.5

2. $40,300 + 12.5%

Hope This Helps :)

Answer:

Step-by-step explanation:

(2,3)

I will put it in standard form,

5a + 2r = 12

It becomes

5a + 2r - 12 = 0

Hi! I believe your answer is 77,435,300.00 Russian Rubles, which is equivalent to 1,000,000 U.S. dollars. I hope this helps you! Good luck and have a great day. ❤️✨

Answer:

76,922,200.00 RUB

Step-by-step explanation:

wow how in the heck did you do that 0-o your rich dude pls explain how u did it T-T

Answer:

y=6

Step-by-step explanation:

9514 1404 393

Answer:

  160 units^2

Step-by-step explanation:

Each of the four triangular faces has an area of ...

  A = (1/2)bh = (1/2)(8)(6) = 24 . . . square units

The square base has an area of ...

  A = s^2 = 8^2 = 64

Then the total surface area is ...

  A = base area + 4 · triangle area

  A = 64 + 4(24) = 160 . . . square units

Answer:

it would be 2/3............

Answer:

=4:6

4

6

=2

3

2:3

Step-by-step explanation:

Hope this helps

Pls mark me the brainliest

Answer:

The depth of the Ocean Floor is -780 kilometers

Step-by-step explanation:

The answer is -780 because -15 multiplied by 52 equals -780.

Answer:

The 6 oz bottle

Step-by-step explanation:

When you simplify it to see how much per ounce each costs, the 6-oz has the better price.

2.29/6 = 0.381666....

10.19/15 = 0.6793....

the second bottle cost more per ounce, so the 6 oz bottle has the better deal

*plz brainlist

Answer:1/64

Step-by-step explanation: I got it right

Based on the pattern in the table, the value of a is StartFraction 1 Over 64 EndFraction.

Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.

Given is a pattern, which is the powers of 2.

The first term is 2⁻¹ = 1/2

The second term is 2⁻² = 1/ 2² = 1/4

The third term is 2⁻³ = 1 / 2³ = 1/8

The fourth term is 2⁻⁴ =  1 / 2⁴ = 1/16

The fifth term is 2⁻⁵ = 1/ 2⁵ = 1/32

The sixth term is 2⁻⁶ = 1/ 2⁶ = 1/64

So the value of a is 1/64.

Hence the value of a is 1/64.

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Answer:

1,5/3,3 that the answers

Answer:

$2,833.59

Step-by-step explanation:

1 $10,000.00 $10,000.00 $511.64 $0.00 $10,511.62 $10,000.00

2 $10,000.00 $10,511.62 $537.79 $0.00 $11,049.41 $10,000.00

3 $10,000.00 $11,049.41 $565.30 $0.00 $11,614.72 $10,000.00

4 $10,000.00 $11,614.72 $594.23 $0.00 $12,208.95 $10,000.00

5 $10,000.00 $12,208.95 $624.63 $0.00 $12,833.59 $10,000.00

Answer:

How do i take questions down like this one?

Step-by-step explanation:

Answer:

666

Step-by-step explanation:

From this question,

a = 1-99%

a = 1-0.99

a = 0.01

5% = z(0.05) = 2.58 when we check the standard normal table

Therefore we calculate n as:

n = (z/E)²*p*1-p

Z = 2.58

E = 0.05

P = 0.5

1-p = 0.5

(2.58/0.05)²x0.5x0.5

= 51.6²x0.5x0.5

= 665.64

Therefore n is approximately 666.

Answer:

Step-by-step explanation:

A.

slope of f(x) remember that m=rise /run and see how you get from point (0,0) to (1,3) for example

m= rise 3/ run 1= 3

slope of g(x) you find by comparing it to y=mx+b wher m is slope and b is intercept so g(x) slope is m = 7

Slope of f(x) is 3 and slope of g(x) is 7 so g(x) go upward  faster.

B.

again compare g(x) =7x+2 with y=mx+b where b is the y-intercept

g(x) has y-intercept at (0,2)

we can see from the table that at x=0 the y-intecept is 0

f(x) has y-intercept at (0, 0)

g(x) has a greater y-intercept point

Answer:

25% increase. Hope this in helpful!!

Answer:

Greatest Common Factor: 24

Step-by-step explanation:

The greatest common factor is found by multiplying all the factors which appear in both lists: So the GCF of 24 (2x2x2x3) and 48 (2x2x2x2x3) is 2x2x2x3 which is 24.

The greatest common factor of 24 and 48 is 24.

Here, we have,

To find the greatest common factor (GCF) of 24 and 48,

we can use the prime factorization method:

Step 1: Find the prime factorization of each number.

Prime factorization of 24:

24 = 2 * 2 * 2 * 3

Prime factorization of 48:

48 = 2 * 2 * 2 * 2 * 3

Step 2: Identify the common prime factors and their lowest exponents.

Common prime factors: 2 * 2 * 2 * 3

Step 3: Multiply the common prime factors with their lowest exponents.

GCF(24, 48) = 2 * 2 * 2 * 3 = 24

So, the greatest common factor of 24 and 48 is 24.

To learn more on GCF click:

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Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

What they are asking for here is where the y-values are negative in interval format. Intervals are x things only, no y's allowed. So the interval of (-infinity, -3) indicates an x value of negative infinity to an x value of -3. The y's are negative from an x value of negative infinity to an x-value of -3, then again from an x value of almost -1 to an x value of almost positive 1. So your choice is the last one listed there.

Answer:

option A) is correct.

Step-by-step explanation:

As we know that when we reflect across the line [tex]y=-x[/tex], the x-coordinate and y-coordinate would change places and be negated.

So the formula about the reflection across [tex]y=-x[/tex] will be:

(x, y) ⇒ (-y, -x)

From the graph, the vertices of the triangle are:

As the rule of reflection across [tex]y=-x[/tex] will produce the image with the vertices T', U' and V' which are as follows:

(x, y) ⇒ (-y, -x)

So, the vertices of U', T' and V' will be:

Therefore, option A) is correct.

Answer:

x = 18

y = 54°

Step-by-step explanation:

m<MON = 90° (given)

m<MOA = 72° (given)

m<AON + m<MOA = m<MON (Angle Addition Postulate)

m<AON + 72° = 90° (Substitution)

Subtract 72° from each side

m<AON = 90° - 72°

m<AON = 18°

m<AOD = 18° + 2x

m<BOC = 3x

m<AOD = m<BOC (vertical angles)

18 + 2x = 3x (Substitution)

Subtract 2x from each side

18 = 3x - 2x

18 = x

x = 18.

72° + y + 3x = 180° (angles on a straight line)

Plug in the value of x

72 + y + 3(18) = 180

72 + y + 54 = 180

126 + y = 180

Subtract 126 from both sides

y = 54

Answer:

The value is  [tex]P( 390 < X < 590) = 68.3 \%[/tex]    

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 490[/tex]

    The standard deviation is  [tex]\sigma = 100[/tex]

Generally the proportion of seniors scored between 390 and 590 on this SAT test is mathematically represented as

     [tex]P( 390 < X < 590) = P( \frac{390 - 490 }{100} < \frac{\= x - \mu }{\sigma} < \frac{590 - 490 }{ 100} )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

    [tex]P( 390 < X < 590) = P( -1 < Z < 1 )[/tex]

=>  [tex]P( 390 < X < 590) = P(Z< 1 ) - P(Z < - 1 )[/tex]

From the z table  the area under the normal curve to the left corresponding to  1 and  -1  is  

[tex]P(Z< 1 ) = 0.84134[/tex]

and

[tex]P(Z< - 1 ) = 0.15866[/tex]  

   [tex]P( 390 < X < 590) =0.84134 - 0.15866[/tex]

=> [tex]P( 390 < X < 590) = 0.6827[/tex]

Generally the percentage of seniors scored between 390 and 590 on this SAT test is mathematically represented as

=> [tex]P( 390 < X < 590) = 0.6827 *100[/tex]    

=> [tex]P( 390 < X < 590) = 68.3 \%[/tex]    

Answer:

C.

Step-by-step explanation:

m1 is greater than m2 because the angle is larger

Answer:

This would be 55 degrees because the sum of angles A, B and C = 180 degrees

Answer:

it would be 8 meters in 10 seconds,Because it travels 6 meters for 3 seconds stops for 5 seconds. So then it would be 6 meters in 8 seconds then it travels 2 meters in two seconds. Which would essentially be 8 meters in 10 seconds.

Answer:

$2754.70

Step-by-step explanation:

Answer:

y = 5- 36

Step-by-step explanation:

6 is the x

-6 is the y

y=mx+b

so m times x, m is the slope

5 times 6 is 30

-6=30+b

so -36

y=5x-36

SORRY IF IM WRONG I TRIED

Answer:

It's B. n3 - 4n - 4

Step-by-step explanation:

Hope this helps.. ;)

Answer:

x° = 42°

Step-by-step explanation:

x° = 180° - (70° + 68°) = 42°