CAN SOMEONE HELP ME PLEASE ASAP!?

Answer:

pretty sure the answer is C) 54

Step-by-step explanation:

I'm in 10th grade and I been in advanced math for my entire life

Answer:

C) 54

And thanks I really needed it!

Answer:

75 mph

Step-by-step explanation:

1/5 x 5 =  hour

15 mph x 5 = 75 mph

The values of 'a' for which all solutions of the given differential equation tend to zero as t approaches zero are a ∈ (-∞, 0) ∪ (4, ∞).

On the other hand, the values of 'a' for which all nonzero solutions become unbounded as t approaches infinity are a ∈ (0, 4).

To determine the values of 'a' for which all solutions tend to zero as t approaches zero, we need to analyze the behavior of the differential equation near t = 0. By studying the characteristic equation associated with the differential equation, we find that the roots are given by r = 2 and r = a. For the solutions to tend to zero as t approaches zero, we require the real parts of the roots to be negative. This condition leads to a ∈ (-∞, 0) ∪ (4, ∞).

To determine the values of 'a' for which all nonzero solutions become unbounded as t approaches infinity, we again examine the characteristic equation. The roots are given by r = 2 and r = a. For the solutions to become unbounded as t approaches infinity, we need at least one of the roots to have a positive real part. Therefore, the values of 'a' that satisfy this condition are a ∈ (0, 4).

In summary, the values of 'a' for which all solutions tend to zero as t approaches zero are a ∈ (-∞, 0) ∪ (4, ∞), and the values of 'a' for which all nonzero solutions become unbounded as t approaches infinity are a ∈ (0, 4).

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Answer:

1. 52

2. 13.6

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

1. What is 65% of 80

Let's set up an equation.

When we see %, we can put that number over 100.

65% = 65/100 = 0.65

"of" means to multiply.

So, 65% of 80 is

0.65 • 80 = x

Multiply.

x = 52

52

2. 34 is what percent of 40?

"is" symbolizes the equals sign (=)

"of" means to multiply.

"what percent" is our unknown.

34 is what percent of 40

34 = x/100 • 40

Divide both sides by 40.

0.85 = x/100

Multiply both sides by 100.

85 = x

85%

Hope this helps!

Answer:

Step-by-step explanation:

We will look for a line that has the general form of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).

A line parallel to y=2x-1 will have the same slope, 2.

We can write y = 2x + b for the new line.  We need to find b.  We can use the given point in this equation and solve for b:

y = 2x + b

2 = 2(4) + b  for (4,2)

2 = 8 + b

x = -6

The parallel line to y=2x-1 that goes through point (4,2) is:

y = 2x-6

See the attached graph.

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to write the equation of the line that passes through (4, 2) and is parallel to y=2x-1.

\(\triangle~\fbox{\bf{KEY:}}\)

Since the slope of the given line is 2, the slope of the line parallel to this one is also 2.

y=2x+c

Where: 2 is the y-coordinate of the point, and 4 is the x-coordinate.

Now, substitute 2 for y and 4 for x:

\(\longmapsto\sf{2=2(4)+c}\)

Simplify!

\(\longmapsto\sf{2=8+c}\)

Subtract 8 from both sides of the equal sign:

\(\longmapsto\sf{2-8=c}\)

\(\longmapsto\sf{-6=c}\)

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The largest country in Europe by population is Russia. With a population of over 144 million people, Russia holds almost twice as many inhabitants as the second-largest country in Europe, Germany.

The reason why Russia has the largest population in Europe is mainly due to its vast geographical area, which includes diverse ethnic groups and natural resources, thus supporting a larger population. Additionally, historical factors such as migration, urbanization, and economic growth have also contributed to Russia's high population numbers.

One of the main reasons for Russia's large population is its size. As the largest country in the world, Russia covers almost 1/8th of the world's landmass, providing ample room for its citizens to reside. Additionally, Russia's population growth has been influenced by various factors throughout history, including immigration, wars, and government policies. Despite declining birth rates in recent years, Russia's population remains the largest in Europe.

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Answer:

0

Step-by-step explanation:

Answer:

The Area of circle is 1/2 times the radius times the circumference.

Hope this helps!!!

Another possible vertex of the square is determined as (2, 1).

option B is the correct answer.

The vertex of a figure is the point of intersection of two sides of the shape.

The perimeter of the square is given as 12 units, the length of each side of the square is calculated as follows;

P = 12 units

a side length = 12 units / 4 = 3 units

To determine another possible vertex of the square, the length between the points must be equal to 3.

Let's consider point A;

A = (1, 2)

given vertex = (-1, 1)

distance between the points = √ (-1 -1)² + (1 - 2)² = √5

Let's consider point B;

B = (2, 1)

given vertex = (-1, 1)

distance between the points = √ (-1 -2)² + (1 - 1)² = √9 = 3

Thus, point B is another possible vertex of the square.

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No Solution.

Since, the x-axis (equation y=0) does not intersect y=-7 at any point. The given pair of equations has no solution

Consider the pair of linear equations in two variables x and y.

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

Here a1, b1, c1, a2, b2, c2 are all real numbers.

Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0

1. If (a1/a2) ≠ (b1/b2), then there will be a unique solution. If we plot the graph, the lines will intersect. This type of equation is called a consistent pair of linear equations.

2. If (a1/a2) = (b1/b2) = (c1/c2), then there will be infinitely many solutions. The lines will coincide. This type of equation is called a dependent pair of linear equations in two variables

3. If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. If we plot the graph, the lines will be parallel. This type of equation is called an inconsistent pair of linear equations.

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The Length of the conjugate axis is equal to 2b. The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola.

In a hyperbola, the name of the green segment is called the transverse axis. The transverse axis is the longest distance between any two points on the hyperbola, and it passes through the center of the hyperbola. It divides the hyperbola into two separate parts called branches.

The transverse axis of a hyperbola lies along the major axis, which is perpendicular to the minor axis. Therefore, it is also sometimes called the major axis.

The other axis of a hyperbola is called the conjugate axis or minor axis. It is perpendicular to the transverse axis and passes through the center of the hyperbola. The length of the conjugate axis is usually shorter than the transverse axis.In the hyperbola above, the green segment is the transverse axis, and it is represented by the letters "2a". Therefore, the length of the transverse axis is equal to 2a.

The blue segment is the conjugate axis, and it is represented by the letters "2b".

Therefore, the length of the conjugate axis is equal to 2b.The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola. In particular, the distance between the two branches of the hyperbola is determined by the length of the transverse axis.

If the transverse axis is longer, then the branches of the hyperbola will be further apart, and the hyperbola will look more stretched out. Conversely, if the transverse axis is shorter, then the branches of the hyperbola will be closer together, and the hyperbola will look more compressed.

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A. The estimator of \(sigma^2\) can be calculated as \(s^2\) = 0.35625.

B. We can expect that the largest distance between any one of the 26 points and the least squares line is approximately 2.92 units.

To find the estimator of \(sigma^2\) (the variance of the random error term) and the largest deviation between any one of the 26 data points and the least squares line, we need to use the sum of squared errors (SSE) and the degrees of freedom.

A. The estimator of \(sigma^2\), denoted as \(s^2\), can be calculated by dividing the sum of squared errors (SSE) by the degrees of freedom (df). In this case, since we have fitted a least squares line to 26 data points, the degrees of freedom would be df = n - 2, where n is the number of data points. Therefore, df = 26 - 2 = 24. The estimator of \(sigma^2\) can be calculated as \(s^2\) = SSE / df = 8.55 / 24 = 0.35625.

B. The largest deviation between any one of the 26 points and the least squares line can be determined by calculating the square root of the maximum value of SSE. This value represents the maximum distance between any data point and the least squares line. Taking the square root of 8.55, we find that the largest deviation is approximately 2.92.

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The 98th percentile of the number of hours spent studying the week before final exams is approximately 39.35 hours.

The 98th percentile of the number of hours spent studying the week before final exams, assuming a normal distribution with mean 25 and standard deviation 7, can be calculated using the standard normal distribution table.

To find the z-score corresponding to the 98th percentile, we use the formula:

z = (x - μ) / σ

where x is the value at the 98th percentile, μ is the population mean, and σ is the population standard deviation.

Using a calculator, we find that the z-score corresponding to the 98th percentile is approximately 2.05.

To find the value of x at the 98th percentile, we rearrange the formula as:

x = μ + zσ

Substituting the given values, we get:

x = 25 + 2.05 × 7 ≈ 39.35

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"From a table of integrals, we know that for \(\(a \neq 0\)\) and \(\(b \neq 0\):\)

\(\[\int \cos(at) \, dt = \frac{1}{a} \cdot \cos(at) + \frac{1}{b} \cdot \sin(bt) + C\]\)

and

\(\[\int e^a t \cos(bt) \, dt = \frac{e^{at}}{a} \cdot \cos(bt) + \frac{b}{a^2 + b^2} \cdot \sin(bt) + C\]\)

Use this antiderivative to compute the following improper integral:

\(\[\int_{-\infty}^{0} \cos(3t) \, dt = \lim_{{T \to \infty}} \int_{0}^{T} e^t \cos(3t) \, e^{-st} \, dt = \lim_{{T \to \infty}} \text{ if } s \neq 1, \, \text{ or } \lim_{{T \to \infty}} \text{ if } s = 1.\]\)

For which values of \(\(s\)\) do the limits above exist? In other words, what is the domain of the Laplace transform of \(\(\frac{1}{\cos(3)} \cdot e^t \cos(3t)\)\)?

Evaluate the existing limit to compute the Laplace transform of  on the domain you determined in the previous part:

\(\[L\{e^t \cos(3t)\\).

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Answer:

A.8 possible outcomes

B. The probability of getting no heads is 1 of 8

C. it's clear that 1/2 the outcomes result in at least 2 tails.

Step-by-step explanation:

Answer:

-√7/4

Step-by-step explanation:

Mathematically;

Sine is the ratio of opposite to hypotenuse

So here, hypotenuse is 4

The opposite is 3

To get the adjacent, we use the Pythagoras’ theorem which states that the square of the hypotenuse is equal the sum of the squares of the two other sides

Let the adjacent be x

4^2 = 3^2 + x^2

x^2 = 16-9

x^2 = 7

x = √7

The cosine is the ratio of the adjacent to the hypotenuse

Since we want to consider quadrant II

Cosine is negative here;

So the answer for Cos will be;

Cos theta = -√7/4

Answer:

h = 3f

Step-by-step explanation:

Perimeter of house = 2(Length + width)

P = 2(L+W)

If the length of a house is tree time it width, then;

L = 3W

L = 3f (since W =f)

Substitute;

P = 2(3f+f)

P = 2(4f)

P = 8f

If the perimeter is h, then;

h = 3f

The expression of h in terms of f is h = 3f

Answer:

The slopes of the sides of the square ABCD are -1/3 and 3

Step-by-step explanation:

The coordinates of the vertices are;

A(-2, 5) and B(4, 3), therefore, we have;

The slope of segment AB, m, is given  as follows;

\(Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

Where, (x₁, y₁) = (-2, 5) and (x₂, y₂) = (4, 3), we have;

\(Slope, m \ of \ line \ AB, \ m_{AB}=\dfrac{3-5}{4-(-2)} = \dfrac{-2}{6} = -\dfrac{1}{3}\)

Therefore, given that the adjacent sides of a square are perpendicular, we have;

The slope of a line perpendicular to another line with slope, m is equal to the negative inverse of the slope of the line

Therefore, the given that the slope of a line = m, the slope of the perpendicular = -1/m

Therefore;

\(The \ slope \ of \ the \ perpendicular \ to \ the \ line \ AB = -\dfrac{1}{The \ slope \ of \ the \ line \ AB }\)

\(The \ slope \ of \ the \ perpendicular \ to \ the \ line \ AB = -\dfrac{1}{-\dfrac{1}{3} } = 3\)

Given that the one other side is parallel to the line AB, whereby the slope of parallel lines are equal, and that two sides are perpendicular to the line AB, we have, the slopes of the sides of the square ABCD are;

-1/3 and 3.

( 35 / 60 ) * 23 = 13.416 so 13.4 miles in 35 minutes

Answer:

168.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the quadratic equation A=−2x2+180x that gives the area A of the yard for the length x, to maximize the area of the yard then dA/dx must be equal to zero i.e dA/dx = 0

If A=−2x²+180x

dA/dx = -4x + 180 = 0

-4x + 180 = 0

Add 4x to both sides

-4x + 180 + 4x = 0 + 4x

180 = 4x

x = 180/4

x = 45

Hence the length of the building that should border the yard to maximize the area is 45 ft

To find the maximum area, we will substitute x = 45 into the modelled equation of the area i.e A=−2x²+180x

A = -2(45)²+180(45)

A = -2(2025)+8100

A = -4050 + 8100

A = 4050 ft²

Hence the maximum area of the yard is equal to 4050 ft²

The coordinates of the vertices of the image of the trapezoid are A'(x, y) = (- 4, 1), B'(x, y) = (- 2, 1), C'(x, y) = (- 5 / 2, 5 / 2) and D'(x, y) = (- 7 / 2, 5 / 2).

In this question we have a representation of a trapezoid, whose image has to be generated by a kind of rigid transformation known as dilation, whose equation is described below:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]

Where:

If we know that k = 1 / 2, A(x, y) = (- 5, - 2), B(x, y) = (- 1, - 2), C(x, y) = (- 2, 1), D(x, y) = (- 4, 1), O(x, y) = (- 3, 4), then the coordinates of the vertices of the image are:

Point A'

A'(x, y) = O(x, y) + k · [A(x, y) - O(x, y)]

A'(x, y) = (- 3, 4) + (1 / 2) · [(- 5, - 2) - (- 3, 4)]

A'(x, y) = (- 3, 4) + (1 / 2) · (- 2, - 6)

A'(x, y) = (- 3, 4) + (- 1, - 3)

A'(x, y) = (- 4, 1)

Point B'

B'(x, y) = O(x, y) + k · [B(x, y) - O(x, y)]

B'(x, y) = (- 3, 4) + (1 / 2) · [(- 1, - 2) - (- 3, 4)]

B'(x, y) = (- 3, 4) + (1 / 2) · (2, - 6)

B'(x, y) = (- 3, 4) + (1, - 3)

B'(x, y) = (- 2, 1)

Point C'

C'(x, y) = O(x, y) + k · [C(x, y) - O(x, y)]

C'(x, y) = (- 3, 4) + (1 / 2) · [(- 2, 1) - (- 3, 4)]

C'(x, y) = (- 3, 4) + (1 / 2) · (1, - 3)

C'(x, y) = (- 3, 4) + (1 / 2, - 3 / 2)

C'(x, y) = (- 5 / 2, 5 / 2)

Point D'

D'(x, y) = O(x, y) + k · [D(x, y) - O(x, y)]

D'(x, y) = (- 3, 4) + (1 / 2) · [(- 4, 1) - (- 3, 4)]

D'(x, y) = (- 3, 4) + (1 / 2) · (- 1, - 3)

D'(x, y) = (- 3, 4) + (- 1 / 2, - 3 / 2)

D'(x, y) = (- 7 / 2, 5 / 2)

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Answer: she bought 12  

Answer:

The Answer would be $40.64

Step-by-step explanation:

To find a percentage of a certain number, you must multiply that number by the percentage in decimal form. Since the socks cost 8 dollars each 8 x 0.08 = 0.64 Meaning the tax cost is 64 cents. 8 x 5 = 40 Giving us $40.64

Answer: The meaning of the statement “ x vary inversely as y “ is “x is inversely proportional to y".

Final Answer // x=5yx is equal to 5 over y

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf x=\frac{2}{y-f}}\)

Step-by-step explanation:

xy - fx = 2

Take x common

x(y - f) = 2

Divide y-f to both sides

\(\displaystyle x=\frac{2}{y-f} \\\\\rule[225]{225}{2}\)

>>> alist = [2, 3.5, 7, 9]. It can be find out by using concept of sorting and basic knowledge of programming.

What is sorting?

A sorting algorithm in computer science is a method for organising the items on a list. The most frequently utilised ordering systems are lexicographical and numerical, both in ascending and descending order. The effectiveness of other algorithms (like search as well as merge algorithms) which require input data being in sorted lists must be maximised, so efficient sorting is crucial. Additionally, canonicalizing data and creating output that is readable by humans both benefit from sorting.

i.e. either in ascending or descending order.

Here , sort() is a function that is used to sort the given list "alist".

By default sort() arranges in ascending order.

Given elements of list = 9, 2, 3.5, 7

So, ascending order = 2, 3.5, 7, 9

So, >>>alist = [2, 3.5, 7, 9]

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The angle in question measures 60 degrees.

What are supplementary angles?

Supplementary angles are two angles that has sum of 180 degrees. In other words, if you have two angles that are next to each other, and when you add them together, they equal 180 degrees, then those angles are considered to be supplementary.

Let x be the measure of the angle in question.

The supplement of an angle is the angle that, when added to the given angle, results in a sum of 180 degrees. So, the supplement of x is 180 - x.

The problem tells us that the given angle (x) is 120 degrees less than its supplement (180 - x).

Therefore, we can set up the equation:

x = (180 - x) - 120

Simplifying this equation, we get:

x = 60

So, the angle in question measures 60 degrees.

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