The graph below shows the ages of the top five male finishers in the Mt. Washington Auto Road Bicycle Hillclimb each year from 2017 through 2021.

1. Write the relation of this situation as a set of ordered pairs in terms of (age, finishing place).
2. Identify the domain and range of the relation.

3. Do the ordered pairs represent a function? Explain.

Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

Answer: 19, 15

f=5  x,y,z and the coordinates are equal to 3 so the answer is 19, 15 lol

The triple integral of the function is \(I_E = \int\limits^3_0 \int\limits^{2\pi}_0\int\limits^2_0 {(rf(r, \theta, z))} \, dzd\theta\ dr\)

Cylindrical coordinates can be defined as an extension of polar coordinates to space. The variables r and θ is maintained and one of the three rectangular coordinates is added, in the case of the exercise the variable z is added.

The solid is the portion of the cylinder of radius 3 and height 2 that is in the first octant.

We can use the cylindrical coordinates to pose the triple integral.

\(I_E = \int\limits\int\limits\int\limits{(f(x, y, z))} \ dV\) {triple integral in rectangular coordinates}

\(D_{cc} = [(r, \theta, z) | 0 \leq r\leq 3, 0\leq \theta\leq \pi /2,0\leq z\leq 2]\) {region in cylindrical coordinates}

\(I_E = \int\limits\int\limits\int\limits{(f(r, \theta, z))} \ r dz d\theta dr\) {triple integral in cylindrical coordinates}

\(I_E = \int\limits^3_0 \int\limits^{2\pi}_0\int\limits^2_0 {(rf(r, \theta, z))} \, dzd\theta\ dr\)

Hence, the triple integral of the function is \(I_E = \int\limits^3_0 \int\limits^{2\pi}_0\int\limits^2_0 {(rf(r, \theta, z))} \, dzd\theta\ dr\)

Learn more about cylindrical coordinates click;

https://brainly.com/question/31046653

#SPJ2

Answer:

56 points

Step-by-step explanation:

Let's say that for the next 5 days, you earn x points each day. This means that you will earn 5x more points before the month ends.

Since you already earned 1300 points, you will have earned 1300 + 5x points, which through the question we know is equal to 1580 points. Using this knowledge, we can set up the equation below:

1300 + 5x = 1580

5x = 280

x = 56

Therefore, you will need 56 points each day to reach your goal.

if this helps you, it would help me a lot if you could mark this as brainliest :)

The time it will take for your account balance to reach $10,000 is given as follows:

t = 10.8 years.

The balance of an account after t years, using continuous compounding, is given as follows:

A(t) = A(0)e^(kt).

In which:

The parameters for this problem are given as follows:

A(0) = 6500, k = 0.04.

Hence the time needed for a balance of $10,000 is obtained as follows:

10000 = 6500e^(0.04t)

e^(0.04t) = 10000/6500

0.04t = ln(10000/6500) -> ln is the inverse operation of the exponential

t = ln(10000/6500)/0.04

t = 10.8 years.

More can be learned about continuous compounding at https://brainly.com/question/7513822

#SPJ1

Answer:

the degree of the given polynomial is 7

Answer:

Step-by-step explanation:

sorry about my last text but the answer is you must divide 6.25 by 20.6 then find the equation that matches the answer.

Answer:

B) 267.5

Step-by-step explanation:

162.5+105=267.5

Answer:

EVALUATE THE FUCTION WHEN: f (1/2 % 32)////////21+×_37- 4 = 37.2

EVALUATE THE FUNCTION WHEN f(3+38 x + formula of angle are = _1/2 decimals point 78.32)*/% =3( 92.03

Step-by-step explanation:

HOPE IT HELPS A LOT!!

a meal can be chosen is 546 different ways.

Answer:

Step-by-step explanation:

986

The period of the function f(t) = 2.3cos(0.25t) is 8π. Hence, the correct answer is d) period 8π.

To determine the period of the function f(t) = 2.3cos(0.25t), we need to consider the coefficient of t inside the cosine function.

In this case, the coefficient is 0.25, which represents the frequency of the cosine function. The period of a cosine function is given by the formula T = 2π/frequency.

Using this formula, we can calculate the period of the function f(t) as follows

T = 2π / 0.25

T = 8π

Therefore, the period of the function f(t) = 2.3cos(0.25t) is 8π.

Hence, the correct answer is d) period 8π.

The period of a function represents the length of one complete cycle or the distance between two consecutive identical points on the graph of the function. In this case, the function is a cosine function, and the period determines how long it takes for the function to repeat its values

The coefficient 0.25 in the function f(t) = 2.3cos(0.25t) affects the frequency of the cosine function. A smaller coefficient results in a slower oscillation, while a larger coefficient leads to a faster oscillation. In this case, since the coefficient is 0.25, it means that the function completes one full cycle within 8π units of time.

Understanding the period of a function is crucial for analyzing its behavior, identifying the frequency of oscillation, and studying its repetitive patterns.

for more such question on function visit

https://brainly.com/question/11624077

#SPJ8

Answer: 5.3%

Step-by-step explanation:

The formula to compute rate of return is given by :-

Rate of return = \(\dfrac{\text{Selling price - investing price }}{\text{ investing price}}\times100\)

\(=\dfrac{1000-950}{950}\times100\%\\\\=\dfrac{50}{950}\times100\%\\\\=\dfrac{100}{19}\%\\= 5.3\%\)

Hence,  his rate of return = 5.3%

Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

Answer:

a111111111111111111111111111111

Step-by-step explanation:

sorry I heeded to do that

Answer:

The answer is D, y=0.25t + 9.5

Step-by-step explanation:

Since the crew has been painting at a rate of 0.25 per hour continuosly, it will be 0.25 times the number of hours (t), plus the already completed road, which is 9.5.

Answer:

A = 706.5 ft 2

Step-by-step explanation:

A = π ( 15  ft ) 2

A = π 225ft 2

A = 225 π  ft 2

A = 225 ⋅ 3.14  ft 2

Answer:

(4,5)

Step-by-step explanation:

To find the x coordinate of the midpoint, average the x coordinates of the endpoints

(1+7)/2 = 8/2 = 4

To find the y coordinate of the midpoint, average the y coordinates of the endpoints

(2+8)/2 = 10/2 = 5

Answer:

i need the graph to work on it-

Step-by-step explanation:

because i cant work without a graph for this problem

Answer:

300

Step-by-step explanation:

if its 1:1 ratio, then its the same and so if there 300 bean seeds, there has to be 300 groundnut seeds

Answer:

8 apples.

Step-by-step explanation:

Answer:

8 apples

Step-by-step explanation:

Have a nice day

Answer:

170, 171, 172

Step-by-step explanation:

x + x + 1 + x + 2 = 513

3x + 3 = 513

3x = 510

x = 170

x + 1 = 171

x + 2 = 172

Answer: he has 4 apples now

Step-by-step explanation:

He has 12 apples to begin with and he gives away 8 to his friend

So, 12 - 8

This gives you 4

Answer:

4

Step-by-step explanation:

12 - 8 = 4

To double check: 8 + 4 = 12

Have an amazing day!

PLEASE RATE!!

Answer:

8b + 50

A) b is the variable

B) 8b + 50

C) She would earn $170 if she worked for 15 hours and got a bonus.

Step-by-step explanation:

In order to calculate 1%, you need to know how percentage works and how to calculate the percentage of any number. Percentage means a number divided into 100 parts. For example, you have a huge cake and you have 100 guests. You need to divide that huge cake into 100 parts. Basically, every guest is getting 1% of the cake. That was pretty easy to calculate but what if, you have a huge cake and you have 50 guests? How much percent of the cake will each guest will be having? There are two ways to solve it, the old-fashion way and the quick way, we will discuss both ways, don't worry. The old-fashion way provides a great explanation for the concept of percentage. It might be a little bit time-consuming but it is worth it. As the words tell you, the quick way is very quick but there is not much learning about percentage in it.

Answer:

The mathematical formulations of quantum mechanics are those mathematical formalisms that permit a rigorous description of quantum mechanics. This mathematical formalism uses mainly a part of functional analysis, especially Hilbert spaces, which are a kind of linear space.

Answer: B

Step-by-step explanation: Hope this helps:)

Answer: where is the answer choices

Step-by-step explanation:

Answer:

it will take him 44 minutes

Step-by-step explanation:

20 minutes / 5 pages = 4 minutes per page

4 minutes per page * 11 pages = 44 minutes

James

1 nail in 4 sec

Lindon

1 nail in 5 seconds

then we can do the next operations, find the minimum common multiple of 4 and 5 that is 20

that is the quantity of seconds

they start hammering a nail at the same time at 1:16:00

Answer:

see below

Step-by-step explanation:

Part A

We can shift f(x) to the left or shift it up

Part B

f(x+k) for a shift to the left

f(x) + k for a shift up

Part C

Looking at shifting f(x) to g(x) by going left, we are shifting 6 units to the left

f(x+6) will shift f(x) 6 units to the left

g(x) = f(x+6)

We can all shift f(x) up, we can shift up 18 units

f(x) +18 will shift the function up 18 units

g(x) = f(x) +18

Answer:

y=1x-7

Step-by-step explanation: