2x+2y+2x+2y+2x+2y+2x+2y+2x+2y+2x+2y
eh...

Answer:Initiation fee is $400 while monthly fee is $10

Step-by-step explanation:

Let the initial fee be x which is fixed while the monthly fee be y

At the end of 5 months, 450 was paid

This means that;

x + 5y = 450 ••••••••(i)

At the end of 10 months, $500 was paid

Mathematically, this means that;

x + 10y = 500•••••••••••(ii)

now we solve both equations simultaneously to get the value of x and y

our equation ii can be rewritten as;

x + 5y + 5y = 500

we can now insert equation i directly into this

450 + 5y = 500

5y = 500-450

5y = 50

y = 50/5

y = $10

From x + 5y = 450

let’s insert the calculated value of y

x + 5(10) = 450

x + 50 = 450

x = 450-50

x = $400

Answer:

c=5.87g

Step-by-step explanation:

because you know c is total cost and g is grams. 5.87g would be the cost per gram multiplied by the number of grams you need.

The approximate internal rate of return on this project is approximately 13.59% at which the present value of the cash inflows (profits) is equal to the initial investment.

To calculate the approximate internal rate of return (IRR) for this project, we need to determine the discount rate at which the present value of the cash inflows (profits) is equal to the initial investment.

Given:

Initial investment = $2,000,000

Annual profit generated = $400,000

Number of years = 7

We can set up the following equation:

PV of cash inflows = Initial investment

To calculate the present value of the cash inflows, we need to discount each year's profit at the discount rate (IRR) and sum them up. Using a financial calculator or spreadsheet software, we can iterate different discount rates until the present value of the cash inflows matches the initial investment. Using an iterative process, the approximate internal rate of return (IRR) for this project is found to be approximately 13.59%.

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See the attached picture:

The vector AB is not related with the vector CD as k is not the same for each pair of components.

In this question we must prove if the vector AB is a multiple of the vector CD, that is:

\(\overrightarrow{AB} = k \cdot \overrightarrow {CD}\)

\(\vec B - \vec A = k \cdot [\vec D - \vec C]\)

(1, 4) - (2, 3) = k · [(- 2, 2) - (1, 3)]

(- 1, 1) = k · (- 3, - 1)

Hence, the vector AB is not related with the vector CD as k is not the same for each pair of components.

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Answer:

50.24

Step-by-step explanation:

4*4*3.14=16*3.14=50.24

Answer:

50.265

Step-by-step explanation:

Formula : A=

\( \pi 4 { }^{2} \)

Answer:

45 + 2x - 5 = 180

2x + 40 = 180

2x = 140, so x = 70

Big O notation focuses on the worst-case scenario analysis, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.

Imagine that you're a teacher with a student named Ram. You want to find his records, so you use a simple search algorithm to go through your school district's database.

You know that a simple search takes O(n) times to run. This means in the worst case, you'll have to search through every single record to find Ram

After a simple search, you find that Ram records are the very first entry in the database. You don't have to look at every entry.

Did this algorithm take O(n) time Or did it take O(1) time because you found Ram records on the first try?

In this case, 0(1) is the best-case scenario – you were lucky that Ram records were at the top. But Big O notation focuses on the worst-case scenario, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.

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The probability of light being not red will be 0.018.

What is probability?

Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.

Given data:

Pedro drives the same route to work and only he faces one traffic light on his route.

Chances of light being red = 55%

Therefore,

The probability of light being red p = 0.55

So, the probability that light is not red

 q = 1 - 0.55

 q = 0.45

Now, if we calculate the probability of light being not red for all 5 days from Monday to Friday

      \(q'=q^5\\\\q'=(0.45)^5\\\\q'=0.018\)

Hence, we can conclude that the probability of light being not red will be 0.018.

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Median is better than mean as it is not affected by extremely high or low values in the same way that the mean is

The median is a measure of central tendency, like the mean, but it is not affected by extremely high or low values in the same way that the mean is. Because of this, the median is often a better measure of central tendency when there are outliers in the data, or when the data is skewed (not normally distributed). For example, consider the following set of numbers: 1, 2, 3, 100. The mean of these numbers is 26, but the median is 3, which is a better representation of the "typical" value in this set.

However, the mean is still a useful measure and has its own advantages. For example, the mean is sensitive to every value in the data set, so it can provide a more comprehensive summary of the data. Additionally, the mean is easier to work with mathematically than the median, so it is often used in statistical tests and calculations.

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Answer: 9,604 m Is the answer

This is the potential function for the exact equation \frac{y}{x} 6x (\ln{x}-2)y'.

The potential function for the exact equation \frac{y}{x} 6x (\ln{x}-2)y' is \frac{y^2}{2}+6x^2y-2xy.

To find the potential function, we need to integrate the first term with respect to y and the second term with respect to x. This gives us:

\int\frac{y}{x}dy = \frac{y^2}{2}+C_1

\int 6xy dx = 3x^2y+C_2

We can then combine these two integrals to get the potential function:

\frac{y^2}{2}+3x^2y+C_1+C_2

Since we are looking for a potential function, we can ignore the constants and just focus on the terms with variables. This gives us:

\frac{y^2}{2}+3x^2y

We can also simplify this by factoring out a y:

y(\frac{y}{2}+3x^2)

This is the potential function for the exact equation \frac{y}{x} 6x (\ln{x}-2)y'.

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Answer: -75

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

The 21 square root of 98 divided by 7 square root of 21 = 21√98 / 7√21 = 6.4807407

A square root of a number x is a number y such that y2 = x; in other words, a number y who's square and the result of multiplying the number by itself, or y ⋅ y, is x.

Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √where the symbol √ is called the radical sign.

Every positive number x has two square roots: √ which is positive, and -√ which is negative. The two roots can be written more concisely using the ± although the principal square root of a positive number is only one of its two square roots, the designation "the square root" is often used to refer to the principal square root.

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The x-intercept is (4, 0) and y-intercept is (0, 1200) for the equation y = -300x + 1200 and graph shown below.

The data are simply presented in a structured manner in the graph. It helps us understand the data better. The mathematical data accumulated through perception is alluded to as information.

The data or information is shown in a line graph by being connected to one another by a straight line, which is a series of markers or dots.

Given equation is:  y = -300x + 1200

For y-intercept we have to put, x=0

⇒ y = 1200

For x-intercept put, y= 0

⇒ 0 = -300x +1200

⇒ x= 4

Hence, the y-intercept is ( 0, 1200 ) and the x-intercept is ( 4, 0 )

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Answer:

Step-by-step explanation:

13

x = 108 is 3.10 standard deviations to the left of the mean.

The standard deviation (SD, also written as the Greek symbol sigma or the Latin letter s) is a statistic that is used to express how much a group of data values vary from one another.

The z-score when x = 108 is:

z = (108 - 153) / 14.5

z = -3.10

This tells us that x = 108 is 3.10 standard deviations to the left of the mean.

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The probability of playing 4 games is 17/77 . To construct a discrete probability distribution for the random variable x, we need to calculate the probability of each possible outcome (games played) .

Assign it to its corresponding value. Given the frequency data provided, we can calculate the probabilities as follows: Total number of games played: 17 + 14 + 20 + 26 = 77. (a) Constructed discrete probability distribution: x (games played) | P(x); 4 | 17/77 ≈ 0.221; 5 | 14/77 ≈ 0.182; 6 | 20/77 ≈ 0.260 ; 7 | 26/77 ≈ 0.338. The discrete probability distribution table shows the values of x (games played) and their corresponding probabilities, which are calculated by dividing the frequency of each outcome by the total number of games played.

For example, the probability of playing 4 games is 17/77, approximately 0.221, since there were 17 instances of 4 games played out of the total of 77 games played. Similarly, the probabilities for playing 5, 6, and 7 games are calculated based on their respective frequencies and the total number of games played.

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Answer:

MK=32.5

Step-by-step explanation:

Hey There!

I believe that these triangles are similar

So to find MK we want to find the scale factor

To do this we divide

66/30=2.2

Now we want to divide 72.5 by 2.2

72.5/2.2=32.5

therefore MK=32.5

hope this helps!

Answer:

6

Step-by-step explanation:

The ratio of boys to girls is 2:5

let the number of boys be 2x -------(i)

and number of girls be 5x

and the total number of students is 21

therefore we know that..

2x+5x = 21

on solving for x,

7x=21

x= 21/7

x=3

now, by putting the value of x in (i),

2x = 2×3 = 6

therefore, there are 6 boys in the classroom.

you find the no. of girls similarly.

hope it helps !!...

PLEASE MARK BRAINLIEST ♡

D. 2322.50

Step-by-step explanation:

I hope it's right.

Answer:

11/43

Step-by-step explanation:

A local community college has 860 students

Out of this 860 students, 220students ride bikes

Therefore the fraction of bike riders to the number of students can be calculated as follows

= 220/860

= 11/43

the volume of the silo is approximately 11,657.88 cubic meters.

To find the volume of the silo, we need to calculate the volumes of the cylinder and the cone separately, and then add them together.

The radius of the base of the silo is half the diameter, so it's 10 meters / 2 = 5 meters.

The height of the cylinder is given as 27 meters. Since the height of the cone is half the height of the cylinder, the height of the cone is 27 meters / 2 = 13.5 meters.

The volume of a cylinder is calculated using the formula:

Volume of Cylinder = π * radius^2 * height

Plugging in the values, we get:

Volume of Cylinder = π * 5^2 * 27 = 3375π cubic meters (approximately 10,598.07 cubic meters)

The volume of a cone is calculated using the formula:

Volume of Cone = (1/3) * π * radius^2 * height

Plugging in the values, we get:

Volume of Cone = (1/3) * π * 5^2 * 13.5 = 337.5π cubic meters (approximately 1059.81 cubic meters)

Adding the volumes of the cylinder and the cone, we get:

Volume of Silo = 3375π + 337.5π = 3712.5π cubic meters (approximately 11,657.88 cubic meters)

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Answer:

x:-4,-3,-2,-1,0,1

f(x):-10,0,0,-4,-6,0

from the table we can see when x=0, y=-6

Therefore the y-intercept will be (0,-6)

OAmalOHopeO

The y intercept of the continuous function in the table is given by the relation f ( 0 ) = -6

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

Let the values of x be x = { -4 , -3 , -2 , -1 , 0 }

Let the values of y be y = { -10 , 0 , 0 , -4 , -6 }

Now , the y intercept of the function is when the value of x = 0

So , when x = 0 , the value of y = -6

And , f ( 0 ) = -6

Therefore , the y intercept is ( 0 , -6 )

Hence , the y intercept of the function is ( 0 , -6 )

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