You have to find the value of k

Answer: The ans is imaginary . option c

Answer:

The equation of [tex]f(x) = e^{-3\cdot x}[/tex] by Maclaurin series is [tex]f(x) = \Sigma\limits_{i=0}^{\infty} \frac{(-3\cdot x)^{i}}{i!}[/tex].

Step-by-step explanation:

The Maclaurin series for [tex]f(x)[/tex] is defined by the following formula:

[tex]f(x) = \Sigma\limits_{i = 0}^{\infty} \frac{f^{(i)}(0)}{i!} \cdot x^{i}[/tex] (1)

Where [tex]f^{(i)}[/tex] is the i-th derivative of the function.

If [tex]f(x) = e^{-3\cdot x}[/tex], then the formula of the i-th derivative of the function is:

[tex]f^{(i)} = (-3)^{i}\cdot e^{-3\cdot x}[/tex] (2)

Then,

[tex]f^{(i)}(0) = (-3)^{i}[/tex] (2b)

Lastly, the equation of the trascendental function by Maclaurin series is:

[tex]f(x) = \Sigma\limits_{i=0}^{\infty} \frac{(-3)^{i}\cdot x^{i}}{i!}[/tex]

[tex]f(x) = \Sigma\limits_{i=0}^{\infty} \frac{(-3\cdot x)^{i}}{i!}[/tex] (3)

Answer:

Step-by-step explanation:

Percent Error = | Actual Yield-Theoretical/ Theoretical Yield | *100%

Error= |-1/7|*100%= 14.29%

Answer:

|a|

Step-by-step explanation:

For any positive or negative a, when you square it, the answer is positive.

The square root symbol means the principal square root. For a positive number, the principal square root is positive. To make sure the square root is always non-negative, use absolute value.

Answer: |a|

Answer:

Step-by-step explanation:

√121 = 11

√900 = √30^2 = 30

∛125 = ∛5^3 = 5

∛729 = ∛9^3 = 9

her profit is 204 dollars and 68 cents= 204.68

Answer:its blurry

Step-by-step explanation:

cant see it

Answer:

x = 34.6

Step-by-step explanation:

[tex]x\:=\:\frac{\left(20\cdot \:sin\left(60\right)\right)}{sin\left(30\right)}[/tex]

Answer:

It has a difference of x=2 of -4

Step-by-step explanation:

It has a difference of x=2 of -4

Given ,

           x ≠ 2 ,

           x - 2 =0

So, we put x = -2 because in question x ≠ 2 .

Then,      x - 2 = 0

              -2 -2 = 0

               - 4 =0

Therefore, it has a difference of x= -2 of -4.

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The perimeter of the whole garden would be 66m.

Hope this helps! :)

Answer:

Ang hirap naman niyan bakit kaya lahat na module mahirap

Answer:

c is answer

Step-by-step explanation:

yes

Answer:

C

Step-by-step explanation:

took test

Answer:

the answer here is d

the answer is d

Answer:

28

Step-by-step explanation:

Total number of crayons = 32

Number of crayons lost = 4

Therefore, number of crayons she is left with is : 32 - 4 = 28

Working :  

    [tex]32\\04 - \\\overline{28}[/tex]

Answer: r•4=52

Step-by-step explanation:

The product of something means multiplication. So R is equal to Ronda’s height. So you would multiply r and 4 to get 52.

Answer:

x = 4/3

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

In similarity triangles, corresponding angles are congruent and corresponding sides are in proportion.

Answer:

y - 1 =  -1/4(x+5)

Step-by-step explanation:

Answer:

2 Quadrilateral DEFG was shifted up 6 units.

Step-by-step explanation:

trust me cuz when there is ' its not the orginal shape

Answer:

y = 21

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

y = -4x + 9

x = -3

Step 2: Evaluate

Answer:

(10, 10 )

Step-by-step explanation:

Given the 2 equations

2x - y = 10 → (1)

y = [tex]\frac{1}{2}[/tex] x + 5 → (2)

Substitute y = [tex]\frac{1}{2}[/tex] x + 5 into (1)

2x - ([tex]\frac{1}{2}[/tex] x + 5) = 10 ← distribute parenthesis on left side by - 1

2x - [tex]\frac{1}{2}[/tex] x - 5 = 10

[tex]\frac{3}{2}[/tex] x - 5 = 10 ( add 5 to both sides )

[tex]\frac{3}{2}[/tex] x = 15 ( multiply both sides by 2 to clear the fraction )

3x = 30 ( divide both sides by 3 )

x = 10

Substitute x = 10 into (2) and evaluate for y

y = [tex]\frac{1}{2}[/tex] (10) + 5 = 5 + 5 = 10

solution is (10, 10 )

Answer:

0.0032

Step-by-step explanation:

We need to compute [tex]e^{0.4}[/tex] by the help of third-degree Taylor polynomial that is expanded around at x = 0.

Given :

[tex]e^{0.4}[/tex] < e < 3

Therefore, the Taylor's Error Bound formula is given by :

[tex]$|\text{Error}| \leq \frac{M}{(N+1)!} |x-a|^{N+1}$[/tex]   , where [tex]$M=|F^{N+1}(x)|$[/tex]

         [tex]$\leq \frac{3}{(3+1)!} |-0.4|^4$[/tex]

         [tex]$\leq \frac{3}{24} \times (0.4)^4$[/tex]

         [tex]$\leq 0.0032$[/tex]

Therefore, |Error| ≤ 0.0032

Answer:

The null hypothesis is [tex]H_0: p = 0.4[/tex]

The alternative hypothesis is [tex]H_a: p < 0.4[/tex]

Step-by-step explanation:

As of 2012, the proportion of students who use a MacBook as their primary computer is 0.4.

At the null hypothesis, we test if the proportion is of 0.4, that is:

[tex]H_0: p = 0.4[/tex]

You believe that at your university the proportion is actually less than 0.4.

This means that at the alternative hypothesis, we test if the proportion is less than 0.4, that is:

[tex]H_a: p < 0.4[/tex]

Answer:

finding the area of the shaded region representing that probability.

Step-by-step explanation:

In a normal distribution, standardardized probability is usually represented digramatically by a sketch which covers the area which always has a mean of 0 and a standard deviation of 1. The mean value is the midpoint of the area under the curve and has an equal difference of 1 to either side of graph which represents the standard deviation. The area of the shaded region under a normal probability curve represents the probability of associated with that particular standardized value.

Answer:

1,404,000 unique passwords are possible.

Step-by-step explanation:

The order in which the letters and the digits are is important(AB is a different password than BA), which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

2 digits from a set of 10(there are 10 possible digits, 0-9).

3 characters from a set of 26. So

[tex]P_{10,2}P_{26,3} = \frac{10!}{8!} \times \frac{26!}{23!} = 10*9*26*25*24 = 1404000[/tex]

1,404,000 unique passwords are possible.