The rate of change in the number of miles of road cleared per hour by a snowplow with respect to the depth of the snow is inversely proportional to the depth of the snow. Given that 21 miles per hour are cleared when the depth of the snow is 2.6 inches and 12 miles per hour are cleared when the depth of the snow is 8 inches, then how many miles of road will be cleared each hour when the depth of the snow is 11 inches? (Round your answer to three decimal places.)

Answer:

0.7x - 1.4 =-3.5

      +1.4   +1.4    Step one: add 1.4 to both sides to cancel out 1.4

0.7x = -2.1

----      -----         Step two: divide both sides by 0.7

0.7      0.7

x = -3              The answer is x = -3.

Answer:

B

Step-by-step explanation:

Answer: m²-mn

Explanation: multiply the letter outside the brackets by everything inside the brackets, so, m×m = m² and m×n = mn, altogether it is m²-mn.

Answer: 3.25 x < 26.50. He ca buy 8 bracelets

Step-by-step explanation:

Omar has a gift card for $40.00.

Omar bought a hat for $13.50

You subtract the following = $40.00 - $13.50 = $26.50

Next He would like to buy souvenir bracelets for his friends.

Each bracelet costs the following = $3.25

Let "x" stand for the number of bracelets he can buy.

This would be the equation 3.25x ≤ 26.50

Now time to solve the inequality.

Dividing both sides by 3.25, we get the following answer X<8.15

The bracelets cannot be in decimal form.

So we round off to nearest whole number.

Which is the following number x ≤ 8

Therefore, we know Omar can buy 8 bracelets.

Hope this helps :)

The Kutta-Joukowski theorem, which is represented by equation (3.140), was originally derived for the case of a lifting cylinder. However, it can also be applied to a two-dimensional body of arbitrary shape, as stated in section 3.16.

A more detailed explanation of the answer.
To make a physical argument for this generalization, we can draw a closed curve around the body.

The key is to draw the curve far enough away from the body such that the body appears as a very small speck in the middle of the domain enclosed by the closed curve.

By doing this, we are essentially treating the body as a point object at the center of the curve. Since the body is now a very small speck in comparison to the large domain, its specific shape becomes insignificant to the overall flow around it.

Therefore, the lifting force calculations derived from the Kutta-Joukowski theorem for the lifting cylinder should also apply to the two-dimensional body of arbitrary shape, as long as the body is small in comparison to the domain enclosed by the closed curve.

This physical argument allows us to accept that equation (3.140) can be applied in general to a two-dimensional body of arbitrary shape without requiring a mathematical proof.

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Answer: y = 2(x + 2)² - 5

Step-by-step explanation:

          We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.

Given:

     y = 2x² + 8x + 3

Factor the 2 out of the first two terms:

     y = 2(x² + 4x) + 3

Add and subtract \(\frac{b}{2} ^2\):

     y = 2(x² + 4x + 4 - 4) + 3

Distribute the 2 into -4 and combine with the 3:

     y = 2(x² + 4x + 4) - 5

Factor (x² + 4x + 4):

     y = 2(x + 2)² - 5

Answer:

m∠5= 50°

Step-by-step explanation:

The line for m∠1 and m∠2 adds up to 180°

So if m∠2 = 130° then subtract 130 from 180 which would equal 50.

and m∠1 is parallel to m∠5 which is why it equals to 50°

Answer:

50

Step-by-step explanation:

Angle 2 is the same as angle 6. If you add angle 6 and angle 5 to get 180, then if you do 180 minus 130, because angles 2 and 6 are the same, then it equals 50.

Hope it helps.

Answer:

31x

Step-by-step explanation:

Were just looking at the top triangle because it has the points A,B, and D. now we solve for x (aka answer the equation in the parentheses). We need to get rid of the 22 so we only have x. We do that by adding it to itself so it equals 0. What we do to one side we do to the other. Now adding 22 to 9 we get 31 (put the x back).

 9x - 22

+22 +22

9x - 22 = 31x

There are 16 functions in total.

8 functions are surjective, meaning that every element in the codomain is the image of at least one element in the domain.

4 functions are injective, meaning that no two elements in the domain have the same image.

0 functions are bijective, meaning that they are both surjective and injective.

A function is a relation that maps each element in the domain to exactly one element in the codomain. In this case, the domain is {1, 2, 3, 4} and the codomain is {,}.

To write a function in two-line notation, we list the domain elements on the left-hand side of the arrow, and the corresponding codomain elements on the right-hand side of the arrow. For example, the function that maps 1 to , 2 to , 3 to , and 4 to is written as:

f(1) = ,

f(2) = ,

f(3) = ,

f(4) = .

There are a total of 16 possible functions, because there are 16 possible ways to assign the domain elements to the codomain elements.

The 8 surjective functions are those that map each element in the domain to a different element in the codomain. For example, the function that maps 1 to , 2 to , 3 to , and 4 to is surjective.

The 4 injective functions are those that do not map two different domain elements to the same codomain element. For example, the function that maps 1 to , 2 to , 3 to , and 4 to is injective.

There are no bijective functions, because there is no way to map the four elements in the domain to the two elements in the codomain without creating a function that is either not surjective or not injective.

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There are 16 functions in total.

8 functions are surjective, meaning that every element in the codomain is the image of at least one element in the domain.

4 functions are injective, meaning that no two elements in the domain have the same image.

0 functions are bijective, meaning that they are both surjective and injective.

A function is a relation that maps each element in the domain to exactly one element in the codomain. In this case, the domain is {1, 2, 3, 4} and the codomain is {,}.

To write a function in two-line notation, we list the domain elements on the left-hand side of the arrow, and the corresponding codomain elements on the right-hand side of the arrow. For example, the function that maps 1 to , 2 to , 3 to , and 4 to is written as:

f(1) = ,

f(2) = ,

f(3) = ,

f(4) = .

There are a total of 16 possible functions, because there are 16 possible ways to assign the domain elements to the codomain elements.

The 8 surjective functions are those that map each element in the domain to a different element in the codomain. For example, the function that maps 1 to , 2 to , 3 to , and 4 to is surjective.

The 4 injective functions are those that do not map two different domain elements to the same codomain element. For example, the function that maps 1 to , 2 to , 3 to , and 4 to is injective.

There are no bijective functions, because there is no way to map the four elements in the domain to the two elements in the codomain without creating a function that is either not surjective or not injective.

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Answer:

Step-by-step explanation:

First is 1

Then comes 3

Afterwards it is 4

Finally 2

We know the algebraic identity: (a - b)(a + b) = a^2 + b^2. Therefore, we should square 3 and 4x.

Answer:

9 - 16x^2

Hope you could understand.

If you have any query, feel free to ask

Answer:

9-16x^2

Step-by-step explanation:

khan

1   Y is distributed as N(aμ + b, a^2σ^2), as desired.

2  We have shown that under these conditions, E[XY] = E[X]E[Y].

To prove that Y is distributed as N(aμ + b, a^2σ^2), we need to show that the mean and variance of Y match those of a normal distribution with parameters aμ + b and a^2σ^2, respectively.

First, let's find the mean of Y:

E(Y) = E(aX + b) = aE(X) + b = aμ + b

Next, let's find the variance of Y:

Var(Y) = Var(aX + b) = a^2Var(X) = a^2σ^2

Therefore, Y is distributed as N(aμ + b, a^2σ^2), as desired.

We can use the definition of covariance to prove that E[XY] = E[X]E[Y]. By the properties of expected value, we know that:

E[XY] = ∫∫ xy f(x,y) dxdy

where f(x,y) is the joint probability density function of X and Y.

Then, we can use the fact that X and Y are independent to simplify the expression:

E[XY] = ∫∫ xy f(x) f(y) dxdy

= ∫ x f(x) dx ∫ y f(y) dy

= E[X]E[Y]

where f(x) and f(y) are the marginal probability density functions of X and Y, respectively.

Therefore, we have shown that under these conditions, E[XY] = E[X]E[Y].

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Given the expression :

the answer will be as following :

So,

12 is a rational number

Step-by-step explanation:

8/9 = p/81

641/9 = p

p = 71.2

Answer:

p=72

Step-by-step explanation:

8/9=p/81

cross multiply

8(81)=9p

648=9p

/9.    /9

72=p

hopes this helps

Answer:

Step-by-step explanation:

Let the scale factor is k.

Then the transformation is:

We have:

The scale factor is k = 12, find the value of a:

Answer:

The answer is 19

Step-by-step explanation:

Range is the difference between the largest and smallest number, so in this case the largest number is 25 and the smallest number is 6. Subtract 25 and 6 to get the range. So the answer would be, The range of the following numbers is 19.

The remaining amount of the substance with the half life of 64.9 days after 100 days is 2.749.

To calculate the amount that remains  after 100 days, this formular can be used

amount remaining = \(a (0.50)^{\frac{t}{h} }\)

where t is the time that was required for the process to take place, where t is 100 days.

h is the halftime, which is been given as 64.9 days

where a is given as the initial amount that is present which is 8.

Then the values can be substituted to have

\(=a (0.50)^{\frac{100}{64.9} }\)

= 2.749

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Answer:

Hypothesis testing of ' significance of difference between means'

Step-by-step explanation:

Study conducted to tests whether oxygen level prior SAT score improves test score. This can be done through - Hypothesis testing of ' significance of difference between means'.

Where x1 & x2 represent mean values of SAT test score before (or without) & after (or with) oxygen.

Null hypothesis [H0] = x1 = x2 , Alternate Hypothesis [H1] : x1 < x2

Researchers try to gain insight into the characteristics of a sample population by examining a sample of the population.

A sample is a subset of individuals or units taken from a larger population. Researchers use sampling methods to select a representative group of individuals from the population they are interested in studying. By studying the sample, researchers can make inferences and draw conclusions about the characteristics, behaviors, or trends that may exist within the entire population.

The goal of sampling is to obtain a sample that accurately represents the population in terms of its relevant characteristics. Researchers carefully select their samples to ensure that they are representative and minimize bias. This allows them to generalize the findings from the sample to the larger population with a certain level of confidence.

By examining a sample, researchers can collect data, analyze patterns, and draw conclusions about the population as a whole. This approach is more feasible and practical than attempting to study the entire population, especially when the population is large or geographically dispersed.

Therefore, researchers use samples to gain insight into the characteristics of a population, making option d. "Sample" the correct answer.

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Answer:

DDDDDDDDDDDDD

Step-by-step explanation:

DDDDDDDDDDD

Answer:

Both data sets represent multiplicative relationships. In Table A, y is 2.5 times x, and in Table B, y is 3 times X

Step-by-step explanation:

Self-explanatory

Every value of y in Table A is 2.5 times  x value

and

every value of y in table B is 3 times x value

The factor of the polynomial function f(x) graphed on the coordinate plane below is x - 1 , Option B is the right answer.

A function in which there is only positive exponents to the variables are called polynomial function.

The missing image is attached with the answer.

It is given in the question

on a coordinate plane, a parabola opens up. it goes through (0, 3), has a vertex at (3.5, 3), and goes through (6, 0)

The zeroes of the polynomial function are the points at which the curve will cut x axis

For the given graph,

the curve cuts the x-axis at x = 1 and x = 6

the  factors will be x - 1 and x - 6

Therefore, a factor of the polynomial function f(x) graphed on the coordinate plane below is x - 1 , Option B is the right answer.

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Answer:

B

Step-by-step explanation:

B

The nth term for a, b, c, d, e, are 2n+13, -3n + 18, 15- n, -2n, -5n respectively.

Arithmetic progression, also known as arithmetic sequence, is a series of numbers in which each term is obtained by adding a constant value, called the common difference (d), to the previous term. The constant difference can be either positive, negative, or zero. An arithmetic progression is denoted by {a, a + d, a + 2d, a + 3d, ...}, where 'a' is the first term and 'd' is the common difference.

For example, the following sequence is an arithmetic progression: {1, 3, 5, 7, 9, 11, ...}, where 'a' = 1 and 'd' = 2, since we are adding 2 to each previous term to obtain the next term.

Arithmetic progressions have several important properties. The nth term of an arithmetic progression can be calculated using the formula: a + (n-1)d, where 'a' is the first term, 'd' is the common difference, and 'n' is the term number. The sum of the first 'n' terms of an arithmetic progression can be calculated using the formula: Sn = (n/2)(2a + (n-1)d), where 'a' is the first term, 'd' is the common difference, and 'n' is the number of terms.

a) 15, 13, 11, 9, 7, ...

nth term: 2n + 13

b) 15, 12, 9, 6, 3, ...

nth term: -3n + 18

c) 15, 14, 13, 12, 11,...

nth term: 15 - n

d) -2, -4, -6, -8, -10, ...

nth term: -2n

e) -5, -10, -15, -20, -25, ...

nth term: -5n

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Answer: y = −4 x − 3

Step-by-step explanation:

First change it into point slope form which is y − 1 = − 4 ⋅ (x + 1 )

The change it from point slope form to slope intercept which is  y = −4 x − 3

Answer:

y = - 4x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, 1) and (x₂, y₂ ) = (2, - 11)

m = \(\frac{-11-1}{2+1}\) = \(\frac{-12}{3}\) = - 4 , then

y = - 4x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 1, 1 ), then

1 = 4 + c ⇒ c = 1 - 4 = - 3

y = - 4x - 3 ← equation of line

Answer:

  b.  √3

Step-by-step explanation:

Given a point on the unit circle that represents the position of the terminal ray of an angle, the tangent of that angle is the ratio of the y-coordinate to the x-coordinate.

  tan(4π/3) = y/x = (-√3/2)/(-1/2) = √3/1

  tan(4π/3) = √3

_____

Additional comment

A calculator can confirm this for you.