discrete math. please complete 5 and 6
arrange the functions √n, 1000 log n, n log n, 2n!, 2n, 3n, and n2∕1,000,000 in a list so that each function is big-o of the next function.

The cost of the utility pole is approximately $1273.99 when rounded to the nearest cent.

To calculate the cost of the utility pole, we need to find its volume first. The formula for the volume of a cylinder is V = πr^2h, where r is the radius of the base of the cylinder and h is its height.

Here, the diameter of the utility pole is given as 1.5 ft. We need to find the radius, which is half of the diameter, so r = 0.75 ft. The height is given as 30 ft.

Using the formula, we get:

V = πr^2h = π(0.75 ft)^2(30 ft) = 53.36 ft^3

Now, we can calculate the cost of the utility pole by multiplying its volume by the cost of wood per cubic foot, which is $23.89 per cubic foot.

Cost = 53.36 ft^3 x $23.89/ft^3 ≈ $1273.99

To learn more about Cost click on,

https://brainly.com/question/29020588

#SPJ4

Answer:

17,2

Step-by-step explanation:

X = 21×cos35° = 21 × 0,82 = 17,20

Answer:

The answer is D

Step-by-step explanation:

Please give me brainliest

By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

From the given figure, KR=9 units, RL=15 units, MT=7.5 units and TL=12.5 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Consider ΔKML and ΔRTL, we get

RL/KL =15/(15+9)

= 15/24

= 5/8

TL/ML =12.5/(12.5+7.5)

= 12.5/20

= 5/8

Here, RL/KL=TL/ML

Here, ∠KLM≅∠RLT

By SAS similarity, ΔKML and ΔRTL are similar triangles

So, ∠KMT≅∠RTL

By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

To learn more about the similar triangles visit:

https://brainly.com/question/25882965.

#SPJ1

Answer:

a

Step-by-step explanation:

got it right in edmentum

By solving a quadratic equation we can see that the width of the path measures 20 meters.

We know that the pool measures 18 meters by 20 meters, then the area of the pool alone is:

A = 18m*20m = 360 m^2

Now, if the path has a width x, then the rectangle that includes the path and the pool has dimensions:

(18m + 2x) and (20m + 2x)

And its area is given by:

(18m + 2x)*(20m + 2x)

And we know it is equal to 1520 m^2, then (i'm not writting the units in the computation):

(18 + 2x)*(20 + 2x) = 1520

360 + 4x^2 + 76x = 1520

Now we just need to solve that quadratic equation:

4x^2 + 76x - 1520 + 360 = 0

4x^2 + 76x - 1160 = 0

The solutions are:

x = (-76 ± √(76^2 - 4*4*(-1160))/(2*4)

x = (-76 ± 156)/4

We only care for the positive solution, which gives:

x = (-76 + 156)/4 = 20

We conclude that the width of the path measures 20 meters.

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

The increase in price (8.20%) is less than the interest she would have paid (12 payments of $7125), it seems that postponing her purchase and saving money was a good trade-off for Dorothy.

The APR (Annual Percentage Rate) for Dave's loan can be calculated

using the formula:

APR = ((Total interest + Service charge) / Principal) * 100

In this case, the total interest is $44.90 and the service charge is $6.40.

The principal is $600. Plugging these values into the formula:

APR = (($44.90 + $6.40) / $600) * 100

Simplifying the equation:

APR = ($51.30 / $600) * 100

APR = 8.55%

For Dorothy, if she bought the dishwasher on credit, the total cost would

be $855.00 after making 12 monthly payments of $7125.

However, if she saved $70.00 a month for one year, she would have

$898.80 in deposits plus interest.

When she goes back to the store, the dishwasher now costs $908.88,

which is an increase of 8.20%.

Since the increase in price (8.20%) is less than the interest she would

have paid (12 payments of $7125), it seems that postponing her purchase

and saving money was a good trade-off for Dorothy.

To know more about Annual Percentage Rate, visit:

https://brainly.com/question/31987528

#SPJ11

Answer:

4

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor.

Answer:

B. 140

just do an elimination process to figure out 160 is more wider and 90 is just too small

so it was between 100 and 140

Answer:

.125

Step-by-step explanation: To convert 1/8 to a decimal, divide the denominator into the numerator. 1 divided by 8 = . 125. To convert the decimal .

Answer: 0.00125

Step-by-step explanation:

percent= decimal×100 therefore, decimal=percent/100 so 1/8 divided by 100 is 0.00125

The area of rhombus KLMN is 287.3 in²

A quadrilateral called a rhombus has four equal-length sides. The term "equilateral quadrilateral" refers to a quadrilateral whose sides all have equal lengths.

Given:

Since, the diagonals of a rhombus bisects each other at a right angle,

Let they bisect at O,

so, KM = 2MO = 2KO = 2×11.4 = 22.8 in

Thus, Δ KON is a right triangle,

Using Pythagoras theorem,

KN² = KO² + ON²

ON = √17²-11.4²

ON = 12.611 in

LN = 2×12.611

LN = 25.22 in

Then, Area of a rhombus = 1/2 × diagonal 1 × diagonal 2

Area = 1/2 × 25.22 × 22.8

        = 287.3 in²

Hence, the area of rhombus KLMN is 287.3 in²

Learn more about rhombus here;

brainly.com/question/27870968

#SPJ1

Answer:

y=-10

Step-by-step explanation:

In this problem you're trying to figure out what y equals.

First you subtract 11 from both sides.

30=-3y

Then, you divide each side by -3 to find y.

-10=y

y=-10

Answer:

1- nothing

2- y=-10

Step-by-step explanation:

1- I like anime but I have to finish naruto and the death note first .

2- 41=-3y+11

41-11=30

30/-3=-10

answer

y=-10

Answer:

$142.92

Step-by-step explanation:

120 * 1.06^3 = 142.92192

Answer:

c

Step-by-step explanation:

because 12 seems to be the total cost of the pizza and because 1.25X means 1.25 times as many toppings they add.

Answer:

113.04 square inches

Step-by-step explanation:

Answer:

More bananas

Step-by-step explanation:

Because the bananas are cheaper you can buy 17 more which would cost $6.8. 0.40x17=6.8

Answer:

B

Step-by-step explanation:

2 over 3 tickets subtract the 1 dollar discount

The answer is B.

I hope this helped! And I might be wrong, just saying lol

I don't think I am though...

The inverse of \(f^{-1}\) of the function f is inverse is swapping of coordinates x and y and making y as subject.

Inverse function is represented by  with regards to the original function  and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.

Generally, the method of calculating an inverse is swapping of coordinates x and y. This newly created inverse is a relation but not necessarily a function. The original function has to be a one-to-one function to assure that its inverse will also be a function.

Therefore, the inverse of \(f^{-1}\) of the function f is inverse is swapping of coordinates x and y and making y as subject.

Learn more about the inverse function here:

https://brainly.com/question/2883051.

#SPJ4

Using simple mathematical operations, the missing values are as follows:

(B) Dijon Mustard: 18g

(C) Barbeque sauce: 70g

(D) Worcestershire sauce: 10.35g

(E) Kosher salt: 1.5g

(F) Ground black pepper: 2.3g

(G) Crushed red pepper: 1.15g

So, we can calculate missing values as follows:

(B) Dijon Mustard: 18g

(C) Barbeque sauce: 70g

(D) Worcestershire sauce: 10.35g

(E) Kosher salt: 1.5g

(F) Ground black pepper: 2.3g

(G) Crushed red pepper: 1.15g

Therefore, using simple mathematical operations, the missing values are as follows:

(B) Dijon Mustard: 18g

(C) Barbeque sauce: 70g

(D) Worcestershire sauce: 10.35g

(E) Kosher salt: 1.5g

(F) Ground black pepper: 2.3g

(G) Crushed red pepper: 1.15g

Know more about mathematical operations here:

brainly.com/question/28937023

#SPJ13

For many hotels, including the Grand Hotel Toplice, the price of a room will fluctuate depending on  the time of year. Option B

The rates of hotel rooms tend to fluctuate depending on the demand during different seasons and times of high travel activity.

Hotels have a tendency to increase their room rates during peak tourist seasons or notable holiday periods, namely summer vacations or significant local events.

During times when there is less demand or fewer guests, prices may be decreased in order to entice visitors. The demand for hotel rooms and subsequent price changes can be impacted by factors such as climate, nearby activities, and cultural festivities specific to certain periods.

Generally, the room rates at hotels are not directly influenced by additional elements like the individual's gender, nationality, or the time of day.

Learn more about hotels at: https://brainly.com/question/25324744

#SPJ1

Answer:

Check my notes

Step-by-step explanation:

I made note of this last year

Answer:

Use mathcway its 2 ez with that page trust me bro

Step-by-step explanation:

No cap

5 10 okey espero te sirva

The correct answer is A. The null hypothesis is rejected in error.

In statistical hypothesis testing, a Type II error occurs when the null hypothesis is incorrectly retained or failed to be rejected when it is actually false.

In other words, a Type II error happens when the researcher concludes that there is no significant difference or relationship between variables when, in reality, there is.

It is a false negative result, as the researcher fails to detect a true effect or relationship.

Option A accurately describes Type II error, while the other options are not related to Type II error.

Option B refers to rejecting the research hypothesis, which is not a Type II error but rather a Type I error.

Option C refers to the study being underpowered, which may increase the likelihood of both Type I and Type II errors but is not a direct description of Type II error.

Option D mentions double-blinding, which is a methodological consideration and not directly related to Type II error.

Option E refers to accepting the research hypothesis in error, which is not a Type II error but rather a correct decision or Type I error.

To know more about hypothesis refer here:

https://brainly.com/question/32562440#

#SPJ11

Answer: A. removing 1 x-tile from each side

Step-by-step explanation: To solve the equation represented by the model, we need to remove 3 unit tiles from the right side, since each unit tile represents a value of 1. Then, we need to arrange the tiles into equal groups to match the number of x-tiles. We can see that there are 2 x-tiles and 2 unit tiles on the left side, which means that each x-tile represents a value of 1.

Therefore, the solution is x = 1. Answer choice A.

The volume of the right triangular prism is 330 cubic units.

A right triangular prism is a three-dimensional solid shape that has two parallel triangular bases and three rectangular faces. The triangular bases are perpendicular to the rectangular faces. The edges of the rectangular faces are perpendicular to both the triangular bases and the lateral faces. The right triangular prism is named so because it has a right angle or 90-degree angle between one of the rectangular faces and one of the triangular bases. The volume of a right triangular prism can be found by multiplying the area of the triangular base by the height of the prism. The surface area of a right triangular prism can be found by adding the areas of all the faces.

The base of the prism is a right triangle with base 5 and height 12, so the area of the base is:

(1/2)(5)(12) = 30

The volume of the prism is the area of the base times the height of the prism, which is 11. So:

V = 30(11) = 330

Therefore, the volume of the right triangular prism is 330 cubic units.

To know more about area visit:

https://brainly.com/question/30314306

#SPJ1

Answer:

1. it's the same denominator

2. 12/9 = 4/3

The transitive term accurately completes the proof

What is the vertical angle theorem?

According to the vertical angle theorem, the vertical angles that are created when two lines intersect are congruent. The opposing angles of two intersecting lines must be congruent, or identical in value.

Here, we have

Given: segment UV is parallel to segment WZ. According to the given information, segment UV is parallel to segment WZ, while angles SQU and VQT are vertical angles. Angle VQT is congruent to angle SQU by the Vertical Angles Theorem.

we are given a line of thought trying to prove different entities proven to be congruent by different arguments or proof.

Eventually, the two are associated using a property called transitivity. This property is used to associate A and C when A is equal to B and B is equal to C.

Hence, the transitive term accurately completes the proof.

To learn more about the vertical angle theorem from the given link

https://brainly.com/question/3168048

#SPJ1

Answer:

3500

Step-by-step explanation:

split 7000 in half for stocks and treasury= 3500 each.

7 percent on 3500 is 3724, 7 percent of 3500 is 245 dollors. 535 x 7 is 3745 = 3500 invested in treasury.

Answer: The friends who shared 2 chocolate chip cookies.

Step-by-step explanation: 3/2= 1.5  and 4/3= 1.3

1.5>1.3