Determine the big-O of the function: 1^k + 2^k +⋯+ n^k

Answers

Answer 1
Show that 1k+2k+...+nk is O(nk+1). So according to the definition of big-O notation we have: 1k+2k.

Related Questions

If f(x)=-4x-5 and g(x)=3-x whats is g(-4)+f(1)

Answers

Answer: -2

Step-by-step explanation:

g(-4) = 3 - (-4) = 3 + 4 = 7f(1) = -4(1) - 5 = -4 - 5 = -9

g(-4) + f(1) = 7 + (-9) = 7 - 9 = -2

look at the image below forr the question plz

Answers

Answer:

[tex]308 \ m^3\\[/tex]

Step-by-step explanation:

The volume of a three-dimensional shape is the amount of space the figure takes up. This can be found by multiplying all of the dimensions of a figure together. In essence, the following formula can be used to find the volume.

[tex]A=l*w*h[/tex]

Where (l) represents the figure's length; (w) is the width: and (h) the height. Substitute the given values into the formula and solve for the volume.

[tex]A=l*w*h[/tex]

[tex]A=7*4*11[/tex]

Simplify,

[tex]A=7*4*11[/tex]

[tex]A=28*11[/tex]

[tex]A=308[/tex]

Find x (round to the nearest tenth)

Answers

9514 1404 393

Answer:

  x = 8

Step-by-step explanation:

By AA similarity, ΔABD ~ ΔCDE. So, corresponding sides are proportional.

  AB/BD = CD/DE

  x/12 = 4/6

  x = 12(4/6)

  x = 8

A researcher conducts an ANOVA analysis and reports no differences in average certification exam test scores for nurses identified as Baby Boomers, Millennials or Generation X. You would expect to see:

Answers

Answer:

"Type II error" is the right answer.

Step-by-step explanation:

A type II mistake would be that a fake null hypothesis also isn't rejected. It's also called false negatives.It happens whenever an investigator does not eliminate a truly wrong null hypothesis. Here quite a scientist determines that whenever it genuinely exists, that there's no substantial consequence.

Thus the above is the right answer.

Jared works at a clothing store and is listening to a customer complain about a shirt he purchased that's damaged. Which behavior can Jared exhibit to show good communication skills with the customer? O a) Stopping the customer to quickly explain the store's return policy b) Repeating back what he has heard once the customer is done speaking Od Asking the customer how the shirt was damaged O d) Promising the customer a full refund even though it's against policy

Answers

Answer:

C

Step-by-step explanation:

in my point of view, my choice is C (asking the customer how the shirt was damaged) because when he finds out the reason why the shirt was damaged, he will explain whether or not that fault is in the store's return policy

another reason:

A) stopping the customers when they are talking, it's impolite behavior and i ensure that that customer will feel disatified.

B) i guess that customer doesnt waste of time because it

D) a full refund without finding the reason, i dont think it's a good idea

Use the diagram to answer the question below.

Name a point not on line AC

Answers

Answer:

It can be the point E or the point D

Your help is very much appreciated I will mark brainliest:)

Answers

Answer:

B. Yes. By SSS~

Step-by-step explanation:

From the diagram given, we have the corresponding sides of both triangles as follows:

RQ/KL = 24/20 = 6/5

QP/LM = 18/15 = 6/5

RP/KM = 12/10 = 6/5

From the above, we can see that the ratio of the corresponding side lengths of both triangles are equal. This means that all three sides of one triangle are proportional to all corresponding sides of the other triangle.

The SSS similarity theorem states that if all sides of one triangle are proportional to all corresponding sides of another, then both triangles are similar to each other.

Therefore, ∆KLM ~ ∆RQP by SSS similarity.

Chris is buying new wood flooring for his house. The cost depends on the area of the floors.
Which is the dependent variable, and which is the independent variable?

Answers

Answer:

strong and fexible .

variable

the point a(2,-5) is reflected over the origin and its image is point b. what are the coordinates of point b

Answers

Answer:

b(-2,-5)

Step-by-step explanation:

Mixture Problem A solution contains 15 milliliters of HCI
and 42 milliliters of water. If another solution is to have
the same concentration of HCl in water but is to contain
140 milliliters of water, how much HCI must it contain?

Answers

Answer:

Step-by-step explanation:

This is a straight proportion problem.

15/42 = x/140                 Cross Multiply

15*140 = 42 * x

2100 = 42x                    Divide by 42

2100/42 = x            

x = 50 ml of HCl will be needed.

In parallelogram ABCD,AB^4+AD^2+AB^2*AD^2=AC^2*BD^2.If angle ABC=x,find the product of all possible values of x

Answers

Answer:

Hello,

Step-by-step explanation:

AB=DC=b, AD=BC=a

p=BD, q=AC

angle ABC=x

[tex]AB^4+AD^4+AB^2*AD^2=AC^2*BD^2\\\\b^4+a^4+b^2a^2=(a^2+b^2+2abcos(X))(a^2+b^2-2abcos(X)\\\\(a^2+b^2+2a^2b^2)-a^2b^2=((a^2+b^2)^2-4a^2b^2*cos^2(X))\\\\\\4a^2b^2cos^2(X)=a^2b^2\\\\\\cos^2(X)=\dfrac{1}{4} \\\\(cos(X)-\dfrac{1}{2} )(cos(X)+\dfrac{1}{2} )=0\\cos(x)=\frac{1}{2} \ or\ cos(X)=\dfrac{-1}{2} \\\\\\X=60^o =\dfrac{\pi}{3} rad \ or \ X=120^o=\dfrac{4\pi}{3} rad\\\\\\\\Product=\dfrac{\pi}{3}*\dfrac{4\pi}{3} =\boxed{\dfrac{4\pi^2}{9}}\\[/tex]

Test scores are normally distributed with a mean of 68 and a standard deviation of 12. Find the z – score for a grade of 74. Round your answer to two numbers after the decimal.

Answers

Answer:

gang nem

Step-by-step explanation:

What effect will replacing x with (x−4) have on the graph of the equation y=(x−3)2 y = ( x − 3 ) 2 ?

Answers

Answer:

y"= 2 wich is positive

Step-by-step explanation:

Step-by-step explanation:

Our equation is: y=(x-3)²

x should be replaced by x-4

y=(x-3)²

y=[(x-4)-3]²

y=(x-4-3)²

y=(x-7)²

The graph is still a parabola but with a different vertex

The vertex here is :

y= (x-7)²

y= x²-14x-49

y'= 2x-14

solve y'=0

2x-14=0

2x=14

x=7

You can easily find it without derivating by dividing -14 by -2

since: x²-14x-49

a=1 b= -14  c=-49

-b/2a = 14/2 = 7

the image of 7 is:

y=(7-7)² = 0

so the coordinates of the new vertex are (7,0) and it's a maximum

since y">0

y'= 2x-14

y"= 2 wich is positive

Last question guys! Help help help

Answers

9514 1404 393

Answer:

slope 125, annual dues payment

Step-by-step explanation:

The two given points can be used to find the slope:

  m = (y2 -y1)/(x2 -x1)

  m = (650 -400)/(4 -2) = 250/2 = 125

The vertical axis is cost, and the horizontal axis is years, so the slope is the ratio of these: cost per year.

The slope of $125 per year is the yearly membership dues cost.

1. You are given the 3rd and 5th term of an arithmetic sequence. Describe in words how to determine the general term.

2. You are given the 3rd and 5th term of an geometric sequence. Describe how to determine the 10th term without finding the general term.

Answers

Step-by-step explanation:

1. In an arithmetic sequence, the general term can be written as

xₙ = y + d(a-1), where xₐ represents the ath term, y is the first value, and d is the common difference.

Given the third term and the fifth term, and knowing that the difference between each term is d, we can say that the 4th term is x₃+d and the fifth term is the fourth term plus d, or (x₃+d)+d =

x₃+2d. =x₅ Given x₃ and x₅, we can subtract x₃ from both sides to get

x₅-x₃ = 2d

divide by 2 to isolate d

(x₅-x₃)/2 = d

This lets us solve for d. Given d, we can say that

x₃ = y+d(2)

subtract 2*d from both sides to isolate the y

x₃ -2*d = y

Therefore, because we know x₃ and d at this point, we can solve for y, letting us plug y and d into our original equation of

xₙ = y + d(a-1)

2.

Given the third and fifth term, with a common ratio of r, we can say that the fourth term is x₃ * r. Then, the fifth term is

x₃* r * r

= x₃*r² = x₅

divide both sides by x₃ to isolate the r²

x₅/x₃ = r²

square root both sides

√(x₅/x₃) = ±r

One thing that is important to note is that we don't know whether r is positive or negative. For example, if x₃ = 4 and x₅ = 16, regardless of whether r is equal to 2 or -2, 4*r² = 16. I will be assuming that r is positive for this question.

Given the common ratio, we can find x₆ as x₅ * r, x₇ as x₅*r², and all the way up to x₁₀ = x₅*r⁵. We don't know the general term, but can still find the tenth term of the sequence

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the binomial quadratic expressions with their factored form.

Answers

Answer:

x²-36 and (x-6)(x+6)

9x-1 and(3x-1)(3x+1)

4x² -16 and 4(x-2)(x+2)

Step-by-step explanation:

when you multiply(x+6)(x-6)

you get x²-36,this is known as difference of two squares ie (a+b)(a-b)=(a²-b²)=0

x(x-6)+6(x-6)

x²-6x+6x-36

x² -36

the second the same explanation as the first

for the third, multiply (x+2)(x-2) it will give x²-4

then multiply this by 4 which is = 4x² - 16

A log of wood weighs 120kg. After drying, it now weighs 80kg. Find the moisture content of the wood in percentage.​

Answers

Answer: 33% is moisture content

Step-by-step explanation:

120kg - 80kg = 40kg

40 of 120 is %

Work:

40/120 = 0.33

0.33x100

= 33%

How many roots does the equation (8/(x^2 - 16) )+ 1 = 1/(x -4) have?

Plz show ALL STEPS

Answers

Answer:

Step-by-step explanation:

ANSWER PLS!! :DD
Which of the following is not a property of a regular pyramid?

A. lateral faces that are parallel
B. lateral faces that are congruent isosceles triangles
C. lateral edges that are congruent
D. volume of the pyramid is equal to one-third the product of the area of its base and its altitude

Answers

Answer:

a

Step-by-step explanation:

Lateral faces that are parallel is not a property of a regular pyramid. The correct option is A.

What is a regular pyramid?

Any pyramid whose base is a regular polygon and whose lateral edges are all of the same lengths is said to be regular.

The properties of a regular pyramid are:-

Lateral faces that are congruent isosceles triangles. Lateral edges that are congruent and the volume of the pyramid is equal to one-third the product of the area of its base and its altitude.

Hence, option A is correct.

To know more about the regular pyramid follow

https://brainly.com/question/12298863

#SPJ2

The graph of [tex]y = ax^2 + bx + c[/tex] is a parabola. The axis of symmetry is [tex]x = -b/2a[/tex]. What are the coordinates of the vertex?

Answers

The vertex can be written as:

(-b/2a, b^2/(4*a) - b^2/2a + c)

For a general parabola:

y = a*x^2 + b*x + c

We can write the vertex as:

(h, k)

The x-value of the vertex is the value of the axis of symmetry.

Then we have:

h = x = -b/2a

Now we need to find the y-value of the vertex.

To do that, we just replace the variable "x" by the x-value of the vertex in our equation, so we get:

k = y = a*(-b/2a)^2 + b*(-b/2a) + c

k = b^2/(4*a) - b^2/2a + c

Then the coordinates of the vertex are:

(h, k) = (-b/2a, b^2/(4*a) - b^2/2a + c)

If you want to read more:

https://brainly.com/question/24302770


write each of the following fraction as equivalent fractions with a denominator of 10 a. 1/2 b. 1/4 c. 3/30 d. 12/30​

Answers

9514 1404 393

Answer:

  a. 5/10

  b. 2.5/10

  c. 1/10

  d. 4/10

Step-by-step explanation:

To find the numerator, multiply each fraction by 10.

  a. (1/2)(10) = 5, so 1/2 = 5/10

  b. (1/4)(10) = 2.5, so 1/4 = (2.5)/10 or (5/2)/10

  c. (3/30)(10) = 1, so 3/30 = 1/10

  d. (12/30)(10) = 4, so 12/30 = 4/10

(PLEASE HELP ITS URGENT)
What is the measure of angle x?

A) 60°
B) 30°
C) 45°
D) 90°

Answers

Answer:

B

Step-by-step explanation:

Reason...sum of angles in a triangle is equal to 180⁰

R+V+T=180⁰

60⁰+90⁰+x⁰=180⁰

150⁰+x⁰=180⁰

x⁰=180⁰-150⁰

:. x⁰=30⁰

Answer:  30 (choice B)

===================================================

Explanation:

Ignore lines VS and SU. They're unnecessary clutter.

Triangle VRT is a right triangle with angles T = x, R = 60, V = 90

For any triangle, the angles must add to 180

T+R+V = 180

x+60+90 = 180

x+150 = 180

x = 180-150

x = 30

Or you could note that R+T = 90 Solves to T = 30 since triangle VRT is a right triangle. The rule with any right triangle is that the acute angles are always complementary (aka they add to 90 degrees).

I need help guys thanks so much

Answers

Answer:

A.  243

Step-by-step explanation:

[tex] 81^\frac{5}{4} = (3^4)^\frac{5}{4} = 3^{4 \times \frac{5}{4}} = 3^5 = 243 [/tex]

Answer: A

I just simplified it to 3^5, and that is also 243.

Find f(2) given f(x) = -3x^2 + 2x+11

Answers

Answer:

Answer:f(2)=-3(2)^2+2*2+11

Answer:f(2)=-3(2)^2+2*2+11 =-3*4+4+11

Answer:f(2)=-3(2)^2+2*2+11 =-3*4+4+11 =-12+4+11

Answer:f(2)=-3(2)^2+2*2+11 =-3*4+4+11 =-12+4+11 =3

hence, f(2)=3

Which fraction is greater than the fraction represented by the model?

HURRY PLS IM BEING TIMED!!!!

Answers

Answer:

7/16

Step-by-step explanation:

7/16>3/8

It would be 7/16 because 3/8 is what is being shown. If you make them both have a common denominator then it would be 6/16.

Find the first five terms to an=2an-1+3, a1=6

Answers

Answer:

a1=6 a2=15 a3=33 a4=69 a5=141

Step-by-step explanation:

an=2an-1+3

We should attempt n=2 to find the second term

a2=2a1+3= 2*6+3=15

n=3 to find the third term

a3=2a2+3= 2*15+3=33

n=4 to find the fourth term

a4=2a3+3=2*33+3=69

n=5 to find the fifth term

a5= 2a4+3=2*69+3= 141

Round number to nearest tenth

Answers

Answer:

a= 13.5

c=18.7

B= 46

Step-by-step explanation:

Find two consecutive even numbers whose sum is 758.

Answers

Answer:

378 and 380

Step-by-step explanation:

The two even consecutive numbers that add up to 758 are going to be very close to half of 758. This is because two half of 758 are going to be the most similar addends of 758. This is important because the answers will be consecutive and therefore, must also be very similar. To solve, first, divide 758 by 2. This is 379, which is not an even number. So, to find the needed addends subtract and add 1 to 379. Both of these will be even and consecutive. These two numbers are 378 and 380. Then, to check you, can add them and see that they do sum 758.

Answer:

Step-by-step explanation:

Let the first number = x

Let the second number = x + 2

x + x + 2 = 758                      Collect like terms

2x + 2 = 758                         Subtract 2

2x = 758 - 2                          Combine

2x = 756                                Divide by 2

2x/2 = 756/2

x = 378

The first number is 378

The second number 380

If your teacher is really fussy, you can do it this way.

Let the first number = 2x

Let the second number = 2x + 2

The reason for this is to guarantee that both numbers were even to start with.

2x + 2x+2 = 758                    Combine like terms

4x + 2 = 758                          Subtract 2

4x = 756                                Divide by 4

x = 756/4

x = 189

Therefore 2x = 378

2x + 2 = 380                 Just as before.

14 80 tiles of side 30cm were used to cover a counter top. Calculate the area of the counter top in square metres.​

Answers

Answer:

Step-by-step explanation:

1,480 is a lot of tiles. Did you mean 80 tiles?

30 cm = 0.3 m

Area of one tile = 0.3² m² = 0.09 m²

Multiply the number of tiles by 0.09 m².

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 421 gram setting. It is believed that the machine is underfilling the bags. A 43 bag sample had a mean of 414 grams. Assume the population standard deviation is known to be 19.

Required:
a. Is there sufficient evidence at the 0.1 level that the bags are underfilled?
b. Find the P-value of the test statistic.

Answers

Answer:

a) The p-value of the test is 0.0078 < 0.1, which means that there is sufficient evidence at the 0.1 level that the bags are underfilled.

b) 0.0078.

Step-by-step explanation:

Question a:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 421 gram setting.

At the null hypothesis, it is tested if the mean is of 421, that is:

[tex]H_0: \mu = 421[/tex]

It is believed that the machine is underfilling the bags.

At the alternative hypothesis, it is tested if the mean is of less than 421, that is:

[tex]H_a: \mu < 421[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

421 is tested at the null hypothesis:

This means that [tex]\mu = 421[/tex]

A 43 bag sample had a mean of 414 grams. Assume the population standard deviation is known to be 19.

This means that [tex]n = 43, X = 414, \sigma = 19[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{414 - 421}{\frac{19}{\sqrt{43}}}[/tex]

[tex]z = -2.42[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean below 414, which is the p-value of z = -2.42.

Looking at the z-table, z = -2.42 has a p-value of 0.0078.

The p-value of the test is 0.0078 < 0.1, which means that there is sufficient evidence at the 0.1 level that the bags are underfilled.

b. Find the P-value of the test statistic.

As found above, the p-value of the test statistic is 0.0078.

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