find a function from the set {1, 2, …, 30} to {1, 2, …, 10} that is a 3-to-1 correspondence. (you may find that the division, ceiling or floor operations are useful.)

Therefore, 3/10 of students don't like having class outside on days when it's humid outside.

An expression for a portion of a whole is a percentage. It is made up of two components, the numerator and the denominator, which are separated by a fraction bar. The denominator is the total number of components that make up the whole, whereas the numerator is the number of parts that are being taken into account. For instance, the fraction 3/5 denotes three of a whole's five equal portions. "Three-fifths" can be interpreted as the word. The fraction 2/7, for example, indicates two parts out of seven equally sized parts of a whole.

given

If seven out of ten students opt to attend class outside on warm days, then the remaining three do not.

This can be expressed as a fraction:

3/10

Therefore, 3/10 of students don't like having class outside on days when it's humid outside.

To know more about fraction visit:

https://brainly.com/question/10354322

#SPJ1

Answer:

yes

Step-by-step explanation:

5/7*6 = 4.28

Answer:

yes

Step-by-step explanation:

5/7×6=4.28

which is less than 6

The general term of each sequence that are given are \(a_{n} = n+2 / 2\) ; nEN for the each infinite sequence suggested below, give its generating function in closed form, i.e., not as an infinite sum.

The infinite sequence that are generally number's that doesn't have any ending and are called as the infinite sequence and other that have finite sequence which have final numbers.

Here given infinite sequence are :

\(a1 =1 , a2= 0 , a3= 0 , a4 = 1.\\closed form of infinite sequence is an = 1 and 0 otherwise.\\sequence that s given is 3,2,4,1,1,1 and\\ a1 = 3 , a2 2 , a3= 4, a4= 1.\\an = 3, n =1, a2 = 2, a3 = 4, \\no n= 1, n=2, n=3 1 otherwise\\Given sequence is 1,3,6,10 ,15 \\then an = n+2 /2.\)

Read more about sequence:

https://brainly.com/question/6561461

#SPJ4

97336/125

mixed number form: 778 86/125

i attached a picture of my work (sorry it’s a little sloppy haha i did it quickly)

what i did was convert each mixed number to an improper fraction, then simply multiplied the numerators by each other and then the denominators by each other

Answer:

x = 16

Step-by-step explanation:

(5x + 12)° + (6x - 8)° = 180°

(5x + 12 + 6x - 8)° = 180°

(11x + 4)° = 180°

11x + 4 = 180

11x = 180- 4

11x = 176

x = 176/11

x = 16

Answer:

x= 9.3 but im not to sure this is right

Step-by-step explanation:

Greetings from Brasil...

According to the annex, we note that

1 qt = 1 quart = 0.95L

To solve this problem, just apply some rules of 3.....

1st - how many qt's are in 15.5 cups

  qt                 cup

   1   ----------     4

   X  ----------   15.5

4 · X = 1 · 15.5

4X = 15.5

X = 15.5 ÷ 4

X = 3.875qt

Last rule of 3 to know how many liters there are in 3.875qt:

  qt                       litres

   1         ----------    0.95

3.875    ----------      Y

1 · Y = 0.95 · 3.875

In a day a young man should drink 3.68L of water

The inverse of f(x) is restricted to the domain x ≥ 1, since this is when\(x^2 − 2x + 1\) is always greater than 0.

To find the inverse function of f(x), we must first determine the domain of f(x). We can do this by finding the values of x where f(x) is greater than or equal to 0.

We can start by setting f(x) to 0 and solving for x:

\(x^2 − 2x + 1 = 0\)

\(x^2 − 2x + 1 − 1 = 0 − 1\)

\(x^2 − 2x = -1\)

(x − 1)(x − 1) = -1

x = 1

Therefore, the inverse of f(x) is restricted to the domain x ≥ 1, since this is when \(x^2\) − 2x + 1 is always greater than 0.

The inverse of a function f(x) is a function that "undoes" f(x). In order to find the inverse of a function, the domain of the function must first be identified. This is done by solving f(x) = 0 and determining which values of x make the equation equal to 0.In the case of f(x) =\(x^2\) − 2x + 1, the equation is equal to 0 when x = 1. This means that the inverse of f(x) is restricted to the domain x ≥ 1, since this is when \(x^2\) − 2x + 1 is always greater than 0.Once the domain of the function is restricted, the inverse function can be found by switching the x and y values, and solving for the new equation. This process can be used to find the inverse of any function, as long as the domain is appropriately restricted.

Learn more about inverse here

https://brainly.com/question/13715269

#SPJ4

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wpazsebu

Answer:

The lowest bound step 1 is change to measures of m to cm =900 lower bound = 895 and 600 = 595 to nearest 10 cm   Therefore ;  895 + 895 + 595 + 595 =  2980 cm  = p(cm) ≥ 2980

Answer:

28 centimeters a year, 5.5 years until 344 centimeters

Step-by-step explanation:

I did the calculations, forgive me if I am wrong.

(a) The point of intersection lies on the line passing through P and Q and is (9, -1, 9).

(b) The equation of the plane passing through the three points P(2, 0, 1), Q(0, 4, −1), and R(−1, 3, 0) is 2x + 4y + 6z = 20.

(c) The equation of the plane passing through the point P(-4, 3, 0) and containing the line with parametric equations x = 3 + 5t, y = 1 − 3t, and z = −2 + 7t is 101x + 135y + 65z = -14260.

(a)

Find the direction vector of the line by subtracting the coordinates of P from the coordinates of Q:

direction vector = Q - P = (9, -1, 9) - (1, 0, 6) = (8, -1, 3)

Substitute the coordinates of an arbitrary point on the line into the equation of the plane and solve for the parameter t:

x + y − z = 11

(1 + 8t) + (0 - t) - (6 + 3t) = 11

4t - 4 = 0

t = 1

Substitute the value of t found in step 2 into the equations for x, y, and z to get the coordinates of the point of intersection:

x = 1 + 8t = 9

y = 0 - t = -1

z = 6 + 3t = 9

So, the point of intersection is (9, -1, 9).

Check that the coordinates of the point of intersection lie on the line by substituting them into the equation for the line and verifying that the parameter t equals 1:

(9 - 1) / 8 = (-1 - 0) / (-1) = (9 - 6) / 3 = 1

Since t equals 1, the point of intersection lies on the line passing through P and Q.

(b)

Find two direction vectors for the plane by subtracting the coordinates of P from those of Q and R:

u = Q - P = (0, 4, -1) - (2, 0, 1) = (-2, 4, -2)

v = R - P = (-1, 3, 0) - (2, 0, 1) = (-3, 3, -1)

Find the normal vector of the plane by taking the cross product of the direction vectors u and v:

n = u x v = (-2, 4, -2) x (-3, 3, -1) = (2, 4, 6)

Use the point-normal form of the equation of a plane to find the equation of the plane, using any of the given points, say P:

(x - 2, y - 0, z - 1) · (2, 4, 6) = 0

2(x - 2) + 4y + 6(z - 1) = 0

2x + 4y + 6z = 20

(c)

Find two direction vectors for the plane by taking two different points on the line and subtracting their coordinates:

direction vector 1 = (8, -6, 14) - (3, 1, -2) = (5, -7, 16)

direction vector 2 = (13, -8, 21) - (3, 1, -2) = (10, -9, 23)

Note that these direction vectors are parallel to the plane because they are also parallel to the line contained within it.

Find the normal vector of the plane by taking the cross product of the direction vectors:

n = direction vector 1 x direction vector 2 = (5, -7, 16) x (10, -9, 23) = (101, 135, 65)

Use the point-normal form of the equation of a plane to find the equation of the plane, using the given point P:

(x + 4, y - 3, z) · (101, 135, 65) = 0

101(x + 4) + 135(y - 3) + 65z = 0

101x + 135y + 65z = -14260

To learn more about the equation of the plane click here:

https://brainly.com/question/16900259

#SPJ11

The general solution of the given differential equation expressed explicitly as a function of the independent variable, is:

w(x) = (1/16) * \(((3x + 2)^2 + 4Cx - 4x^2)^2\)

To obtain the solution, we can rewrite the given differential equation by separating the variables and integrating. First, we can divide both sides by √w and rearrange the terms:

√w dw = (3x + 2)/\(x^2\) dx

Then, with regard to the relevant variables, we integrate both sides. The integral of √w with respect to w can be computed using the power rule, while the integral of (3x + 2)/\(x^{2}\) with respect to x can be found using partial fractions. After integrating and simplifying, we obtain the general solution as:

w(x) = (1/16) * \(((3x + 2)^2 + 4Cx - 4x^2)^2\)

Here, C is the arbitrary constant that can take any real value.

This general solution represents a family of functions that satisfy the given differential equation. By choosing different values for the constant C, we can obtain specific solutions corresponding to different initial conditions or constraints imposed on the problem.

Learn more about differential equation here:

https://brainly.com/question/1164377

#SPJ11

The complete question is:

Find the general solution of the following equation. Express the solution explicitly as a function of the independent variable.

\(x^2\)(dw/dx) = √(w)(3x+2)

Answer:

4c

Step-by-step explanation:

We can say that the maximum number of cars can be represented as:

Maximum number of cars = Total of rows × Number of cars per row

In this particular case, we have 4 rows and the number of cars per row is c, thus, the expression above becomes:

Maximum number of cars = 4c

The solution to the equation 2 csc x = 3 csc θ − csc θ sin θ in the range 0 ≤ θ < 2π is:

θ = 7π/6

We can start by manipulating the given equation to express cscθ in terms of cscx:

2 csc x = 3 csc θ − csc θ sin θ

2/cscθ = 3 - sinθ

cscθ/2 = 1/(3 - sinθ)

cscθ = 2/(3 - sinθ)

Now we can use the identity sin²θ + cos²θ = 1 and substitute for cscθ in terms of sinθ:

1/cosθ = 2/(3 - sinθ)

cosθ = (3 - sinθ)/2

Next, we can use the identity sin²θ + cos²θ = 1 to solve for sinθ:

sin²θ + cos²θ = 1

sin²θ + [(3 - sinθ)/2]² = 1

Multiplying both sides by 4, we get:

4sin²θ + (3 - sinθ)² = 4

Expanding and simplifying, we get:

8sin²θ - 6sinθ - 8 = 0

Dividing both sides by 2, we get:

4sin²θ - 3sinθ - 4 = 0

Using the quadratic formula with a = 4, b = -3, and c = -4, we get:

sinθ = [3 ± √(3² - 4(4)(-4))]/(2(4))

sinθ = [3 ± √49]/8

sinθ = (3 ± 7)/8

Since 0 ≤ θ < 2π, we only need to consider the solution sinθ = (3 - 7)/8

= -1/2 corresponds to an angle of 7π/6 in the third quadrant.

To find cosθ, we can use the identity sin²θ + cos²θ = 1:

cosθ = ±√(1 - sin²θ)

Since we are in the third quadrant, we want the value of cosθ to be negative, so we take the negative square root:

cosθ = -√(1 - (-1/2)²)

cosθ = -√(3/4)

cosθ = -√3/2

For similar questions on range

https://brainly.com/question/30389189

#SPJ11

Since the variance is the square of the standard deviation, the variance here is 6.3.

A commonly used measure of dispersion is the standard deviation, which is simply the square root of the variance. Therefore, we just raise the standard deviation to the power of 2 to get the answer. We do as follows:

s = √v

(2.5)² = (√v)²

v = 6.25 = 6.3

So, Since the variance is the square of the standard deviation, the variance here is 6.3.

DISCLAIMER: The question was incomplete. Please find the full content below.

Question

Ms. Johnson uses a statistics program to analyze all the data collected by her students during a lab experiment about the acceleration due to gravity. The program reports a mean of 31.5 and a standard deviation of 2.5. What is the variance of the data?

Learn more about VARIANCE here https://brainly.com/question/15858152

#SPJ4

Answer: D). 6.3

Step-by-step explanation:

Answer:

3r/s

Step-by-step explanation:

The calculated profit after 6 years since 2010 is 6.54 million dollars

From the question, we have the following parameters that can be used in our computation:

P(t) = 2.1 + 0.5t + 0.04t^2

To calculate P(6), we substitite 6 for t in the function

So, we have

P(6) = 2.1 + 0.5(6) + 0.04(6)^2

Evaluating the expression

So, we have

P(6) = 6.54

Hence, the value of P(6) is 6.54 million dollars

Read mroe about functions at

https://brainly.com/question/10837575

#SPJ1

Answer:

310in

Step-by-step explanation:

7×10=70

70×2=140(there are two that are the same length)

5×10=50

50×2=100(there are two that are the same length)

5×7=35

35×2=70(there are two that are the same length)

70+100=170

170+140=310

please let me know if it's correct

Answer:

A.  see below

B.  500 yearbooks

C.  1562 yearbooks

D.  $13,100

Step-by-step explanation:

A.  The first term (7500) is probably a flat fee for the production of yearbooks.  No matter how many yearbooks you will always have to pay that amount.  The second term (8n) is the cost of each individual yearbook.

B.  For this problem you need to use the equation.  Since the number given to us is an amount of money, it will go into the variable C.  Solve for n.

C = 7500 + 8n

11,500 = 7500 + 8n

4,000 = 8n

500 = n

You can purchase 500 yearbooks.

C.  For this problem, the amount is again in dollars so it will go into the variable C.  Solve for n.

C = 7500 + 8n

20,000 = 7500 + 8n

12,500 = 8n

n = 1,562.5

Since the number is not a whole number, round down.  You can purchase 1562 yearbooks.

D.  For this problem, the given value is not in dollars so the value will go into n.  Solve for C.

C = 7500 + 8n

C = 7500 + 8(700)

C = 7500 + 5600

C = 13,100

The cost of 700 yearbooks would be $13,100.

The 48th percentile for weight means that the 16-year-old girl's weight falls within the range of weights that 48% of girls her age typically weigh.

The 78th percentile for height means that her height falls within the range of heights that 78% of girls her age typically have.

Percentiles are used in growth charts to compare an individual's height or weight to a reference population. The percentile values indicate the percentage of people in that population who have a lower measurement.

For example, a girl at the 48th percentile for weight means that 48% of girls her age weigh less than her, while 52% weigh more. Similarly, being at the 78th percentile for height means that 78% of girls her age are shorter than her, while 22% are taller.

In plain English, the girl's weight is considered to be in the middle range, as she is at the 48th percentile. However, her height is above average, as she is at the 78th percentile.

To know more about average visit:

https://brainly.com/question/130657

#SPJ11

Answer:

0.5 pounds of butter.

Explanation

X pounds for 0.25 gallons.

0.5 gallon of cream - 1 pound of butter

0.25 gallons of cream - X pounds of butter

Applying cross multiplication:

0.5X = 0.25

X = 0.25 over 0.5 or 0.25/0.5

X = 0.5

Therefor, you could make 0.5 pounds of butter with 0.25 gallons of cream.

By the 0.25 gallons of cream, we can make 0.5 pounds of butter.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

It takes 0.5 gallons of cream to make 1 pound of butter.

So,

0.5 gallons of cream ⇒  1 pound of butter

Divide both sides by 2

0.5/2 gallons of cream ⇒  1/2 pound of butter

0.25 gallons of cream ⇒ 0.5 pounds of butter

Hence "By the 0.25 gallons of cream, we can make 0.5 pounds of butter".

For more information about ratio and proportion,

brainly.com/question/26974513

#SPJ2

Answer:

C.

Step-by-step explanation:

Answer: c 12.3

Step-by-step explanation:

Answer:

1 < 2

1 + 2 (Overdue fees) = Total amount

Sorry if its wrong but thats what I think is right

SAS: denotes the existence of two triangles whose two sides and included angle are known to be equal.

ASA: denotes the existence of two triangles whose included side and two known angles are equal.

SAS (side, angle, side):

Angle, Side, Angle, or ASA:

To know more about the SAS or ASA congruenecies, here

https://brainly.com/question/3999145

#SPJ4

Answer:

(8,11)

Step-by-step explanation:

1st line

y = x+ 3

We need to find the equation of the other line

We have two points (3, 1) and (4, 3)

Slope

m = (y2-y1)/(x2-x1)

   = ( 3-1)/(4-3)

   = 2/1 = 2

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

y =2x+b

Using the point (4,3)

3 = 2(4)+b

3 = 8+b

3-8=b

-5 =b

y = 2x-5

We have 2 lines

y =x+3 and y = 2x-5

Setting them equal to each other

x+3 = 2x-5

Subtract x from each side

x+3-x = 2x-5-x

3 = x-5

Add 5 to each side

3+5 =x-5+5

8=x

Now we can find y

y =x+3

y = 8+3

y=11

Answer:

c (8,11)

Step-by-step explanation:

The equations N1/dt = r1N1[(K1 - N1 - ON2)/K1] and ON2/dt = r2N2[(K2 - N2 - BN1)/K2] describe models for population dynamics. These models are used to understand how populations of organisms change over time, based on factors like birth rates, death rates, and available resources.

In these equations, N1 and N2 represent the population sizes of two interacting species. The variables r1 and r2 are the intrinsic growth rates of these species, or the rates at which they reproduce in the absence of limiting factors. K1 and K2 represent the carrying capacities of the environment for each species, or the maximum population sizes that can be sustained by available resources.
The terms ON2 and BN1 represent the effects of interspecific interactions on population growth. ON2 refers to the negative impact of species 2 on the growth rate of species 1, and BN1 refers to the negative impact of species 1 on the growth rate of species 2. These interactions can take many forms, such as competition for resources or predation.
By manipulating these equations, scientists can make predictions about how populations will change over time, and test these predictions against real-world data. These models are particularly useful for understanding how species interact in complex ecosystems, and how human activities like habitat destruction and climate change are affecting these ecosystems.

for more questions on birth rates

https://brainly.com/question/5874247

#SPJ11

Answer:

false question and change the question

Answer:

the answer is 13/18 < 11/14

Explanation:

i did the test it was right

Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:

Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)

Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:

Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)

Y1,0 = 1/2 √(3/π)cosθ

Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)

Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ

Y2,0 = 1/4 √(5/π)(3cos²θ-1)

Y0,0 = 1/√(4π)

The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.

To know more about  Spherical harmonics visit

https://brainly.com/question/23067012

#SPJ11

It is necessary to conduct a thorough analysis to determine the relationship between these variables.

In order to determine whether or not there is sufficient evidence to support the publisher's claim that more than 72% of their readers own a laptop, we will have to do a hypothesis test.The null hypothesis H0: The percentage of readers that own a laptop is 72% or less.The alternative hypothesis H1: The percentage of readers that own a laptop is greater than 72%.If we assume a significance level of 0.05, we will reject the null hypothesis if the p-value is less than 0.05. We will fail to reject the null hypothesis if the p-value is greater than 0.05.

Now we need to find the correlation between the retail price of a particular model of television and the number of units sold at that price. If the price of the television increases, it is likely that the number of units sold will decrease. As a result, we should expect to see a negative correlation between these two variables. However, the relationship may not be linear, and there may be other factors at play that affect the number of units sold. Therefore, it is necessary to conduct a thorough analysis to determine the relationship between these variables.

Learn more about Hypothesis here,What is the definition of a hypothesis ?

https://brainly.com/question/606806

#SPJ11