Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none.

When m1 = m6
none

Answer: 2/3

Step-by-step explanation: 50/75

25 can go into both.

50 divided by 25 = 2

75 divided by 25 = 3

Answer:

\(\displaystyle \int\limits^{\frac{-\pi}{2}}_{\frac{-2 \pi}{3}} {\frac{sin \ x}{1 + cos \ x}} \, dx = -ln(2)\)

General Formulas and Concepts:

Calculus

Differentiation

Trig Derivatives

Integration

Integration Rule [Fundamental Theorem of Calculus 1]:                                     \(\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)\)

Integration Property [Multiplied Constant]:                                                         \(\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx\)

Trig Integration

Logarithmic Integration

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle \int\limits^{\frac{-\pi}{2}}_{\frac{-2 \pi}{3}} {\frac{sin \ x}{1 + cos \ x}} \, dx\)

Step 2: Integrate Pt. 1

Identify variables for u-substitution.

Step 3: Integrate Pt. 2

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

Answer:

answer C is correct ..

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

Well, as it says, your first statement needs to explain what interests you about the program.

If you feel you need multiple paragraphs, let the first be an introduction, around 4 or 5 sentences. Include, possibly what pushed you to apply for this program, what you're looking forward to, and a reason for them to hire you. You can add a thesis statement of sorts if that helps (a short statement, usually one sentence, that summarizes the main point or claim of a paper). The first paragraph can be short, it doesn't need to be too in-depth. You can talk more about that later in your statement.

The body paragraphs must include your goals and extracurricular interests (what courses would you like to take and why?).

As it states, you must list your GPA, what interests you about the Major and/or Minor/Workshop courses, and what you can contribute (you can build off of what you said in your first paragraph here).

It is very important to share additional details you think are important, such as accomplishments you are proud of, for example.

A conclusion would be nice, a short and sweet wrap-up of your overall statement (not too long).

Remember, the name of the game is to sound confident and prove to them that you are in fact a good fit for the program! Good luck! Stay focused ^^

Answer:

9.6 = BC

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opposite/ adjacent

tan 58 = BC / 6

Multiply each side by 6

6 tan 58 = BC

9.602007174 =BC

Round to the nearest tenth

9.6 = BC

Answer:

BC= 9.6

Hope it helps :)

Solving an integral, we can see that the area is 4.5 square units.

To find the area between f(x) and g(x) on an interval [a, b] we need to do the integral:

\(\int\limits^a_b {f(x) - g(x)} \, dx\)

So here we just need to solve the equation:

\(\int\limits^1_{-2} {(x^2 - x)} \, dx\)

Solving that integral we get:

[x³/3 - x²/2]

Now evaluate it in the indicated region:

area = [1³/3 - (1)²/2 -((-2)³/3 - (-2)²/2) ]

area = 4.5

The area is 4.5 square units.

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Answer:

the car would use 49 gallons because you get a decimal of 49.49 so you would put got decimal to the nearest 1's place and that would be 49

v

Step-by-step explanation:

jejejejeeirii5ueuruururueurururr

Main Answer: The slope of a steep upward-sloping line will be a positive.

Supporting Question and Answer:

How is the slope of a line calculated?

The slope of a line is calculated by dividing the change in the y-coordinate (vertical change) between any two points on the line by the change in the x-coordinate(horizontal change)between the same two points.This is represented by the formula:

slope= \(\frac{(y_2-y_1)}{(x_2-x_1)}\) ,where \((x_1,y_1)\) and \((x_2,y_2)\) are two points on the line.

Body of the Solution:In mathematics, the slope of a line is defined as the ratio of the change in the y-coordinate to the change in the x-coordinate between any two points on the line. A positive slope indicates that the line is increasing in the y-direction as the x-coordinate increases.

A steep upward-sloping line means that the line is increasing rapidly in the y-direction as the x-coordinate increases, and therefore the slope of the line will be a large positive number. Conversely, a steep downward-sloping line will have a large negative slope, indicating that the line is decreasing rapidly in the y-direction as the x-coordinate increases.

Therefore, the slope of a steep upward-sloping line will be a positive.

Final Answer:The slope of a steep upward-sloping line will be a positive.

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Possibilities that both Tyrone and Alisha are correct, depending on the specific expression they are trying to simplify.

In order to determine who is correct between Tyrone and Alisha, we must first look at the expression that they are trying to simplify.

Depending on the expression, different methods may be more appropriate. Without the expression provided, it is difficult to say definitively who is correct.
However,

If we assume that the expression is in the form of a fraction with variables raised to different powers, then both Tyrone and Alisha could potentially be correct.
Raising the numerator and denominator to the third power is a valid method of simplifying expressions that involve fractional exponents.

This is because raising a fraction to a power is equivalent to raising both the numerator and denominator to that power.

By doing this, we can eliminate the fractional exponents and potentially combine like terms.
On the other hand, applying the quotient of powers is another valid method of simplifying expressions with exponents.

This involves dividing the powers of the same base when they are being divided. For example, if we have (\(a^3\))/(\(a^2\)), we can simplify this to a(3-2) = a.
It is important to remember that there may be multiple ways to simplify an expression and it is up to the individual to choose the method that they are most comfortable with.

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Answer:

 No

Step-by-step explanation:

You want to know if the set of even integers has the density property.

The density property states that for any two elements of a set, there are additional elements of the set between them.

There are no even integers between any two consecutive even integers, so the set of even integers does not have the density property.

Answer:

(x + 2) + (–5x + 4) / (x² – 2x + 1)

Step-by-step explanation:

(x³ – 8 x + 6) ÷ (x² – 2x + 1)

The operation can be carried out as follow:

Please see attached photo for details.

(x³ – 8 x + 6) ÷ (x² – 2x + 1) =

(x + 2) + (–5x + 4) / (x² – 2x + 1)

Answer:

The correct answer is:

x+2+-5x+4/x^2-2x+1

Step-by-step explanation:

I got it right on the Plato test.

Answer:

b

Step-by-step explanation:

Explanation

Let the base be b and height be h. Since the base of the triangle is five more than twice the height we will have;

Given that the area of the triangle is 125 square feet.

Answer:

x = 15

I hope this helps!

Answer:

800/12 = 66.6 words per minute

Considering the factors of time and cost, strategic alliances generally emerge as the quickest and cheapest way to develop a global strategy. (option c)

Strategic alliances involve partnerships or collaborations between companies from different countries, with the goal of leveraging each other's strengths to achieve mutual benefits.

By sharing resources, knowledge, and networks, companies can expand their global presence more efficiently and cost-effectively. Strategic alliances can enable faster market entry and access to new markets by leveraging the partner's existing infrastructure, distribution channels, and customer base.

Moreover, pooling resources can help reduce costs and risks associated with global expansion.

Therefore, strategic alliances can be a relatively quicker and cheaper way to develop a global strategy, as they provide an opportunity to tap into existing capabilities and market presence of the alliance partner.

Hence the correct option is (c).

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Answer:

-10x - 29 = -18x + 91

x = 15

Step-by-step explanation:

29 less than -10 times a number is equal to -18 times the number plus 91:

-10x - 29 = -18x + 91

add 21 to both sides:

-10x - 29 + 29 = -18x + 91 + 29

-10x  = -18x + 120

add 18x to both sides:

-10x + 18x  = -18x + 120 + 18x

8x = 120

divide both sides by 8:

8x/8 = 120/8

x = 15

The gravitational potential energy of the wire can be calculated as PE = mgh = mg(r - (r^2 - (l/2)^2)^0.5) * (2r/π).

To find the gravitational potential energy of the thin wire, we need to use the equation PE = mgh, where m is the mass of the wire, g is the acceleration due to gravity, and h is the height of the wire above a reference point.

Since the wire is in a semicircular shape, we can find the height h using the Pythagorean theorem. Let the radius of the semicircle be r, then the height h can be found as h = r - (r^2 - (l/2)^2)^0.5.

Once we have the height h, we can calculate the gravitational potential energy of the wire. However, we also need to take into account the fact that the wire is bent in a semicircular shape.

To do this, we need to calculate the average height of the wire above the x-axis, which is given by (2r/π).

Therefore, the gravitational potential energy of the wire can be calculated as PE = mgh = mg(r - (r^2 - (l/2)^2)^0.5) * (2r/π).

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Answer:

B

Step-by-step explanation:

O Citizens who are healthy contribute more to their communities.

( I don't think this is math related).

Answer:

curved lines

Step-by-step explanation:

because a linear persctive is a straight line or perspective where in which a curved line isnt

Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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Answer:

\( \frac{29}{9} \)

Step-by-step explanation:

3.2 repeating = 3.2222....

let's make it equal to x

x = 3.2222....

we want to eliminate the infinitely repeating digits, so let's multiply 3.2222.... by 10 and equate it to 10x

3.2222.... × 10 = 32.2222....

10x = 32.2222....

Now we have

x = 3.2222....

10x = 32.2222....

They both have an infinite number of repeating twos so subtract x from 10x to get rid of the repeating digits after the decimal point

Rewriting it as

10x = 32.2222....

x = 3.2222....

10x - x = 9x and 32.2222.... - 3.2222.... = 29

equate both

9x = 29

divide both sides by 9

x = 29/9

In this case, p = 1/4 ≤ 1. According to the p-series test, when p ≤ 1, the series diverges.  given series diverges. Theorem 9.11, also known as the p-series test, helps us determine the convergence or divergence of a series of the form ∑(n=1 to ∞) 1/n p, where p is a positive constant.

According to the p-series test, if p > 1, the series converges. If p ≤ 1, the series diverges. In the given series, we have \(1 + 1/(8)^(1/4) + 1/(27)^(1/4) + 1/(64)^(1/4) + 1/(125)^(1/4)...\)

To apply the p-series test, we need to express the terms in the form 1/np. Let's rewrite the series using the power of 1/4 for each term:   Now, we can see that p = 1/4. Since p = 1/4 is a positive constant, we can compare it to 1 to determine the convergence or divergence of the series.

Hence, p = 1/4 ≤ 1. Therefore, the given series diverges.

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Answer:

They would be perpendicular to each other.

One would have a slope of 0 (horizontal line) and the other would have an undefined slope (vertical line)

Step-by-step explanation:

A graph of the line that passes through the points (3, -7) and (-3, 5) is shown in the image attached below. Also, the equation of this line is y = -2x - 1.

Mathematically, the slope of a straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Based on the information provided, the points on the line include the following:

Substituting the given points into the formula, we have;

Slope, m = (5 - (-7))/(-3 - 3)

Slope, m = (5 + 7)/(-6)

Slope, m = 12/-6

Slope, m = -2

At point (3, -7), a linear equation for the line can be calculated by using the point-slope form:

y - y₁ = m(x - x₁)

Where:

Substituting the given points into the formula, we have;

y - y₁ = m(x - x₁)

y + 7 = -2(x - 3)

y + 7 = -2x + 6

y = -2x + 6 - 7

y = -2x - 1

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Answer:

−27x5

Step-by-step explanation:

Answer:

6x^3

Step-by-step explanation:

The Maclaurin series for f(x) is f(x) = 16x^2 - 914.6667x^3 + O(x^4).

To find the Maclaurin series for the function f(x) = 8x^2sin(7x), we need to compute its derivatives and evaluate them at x=0:

f(x) = 8x^2sin(7x)

f'(x) = 16xsin(7x) + 56x^2cos(7x)

f''(x) = 16(2cos(7x) - 49xsin(7x)) + 112xcos(7x)

f'''(x) = 16(-98sin(7x) - 343xcos(7x)) + 112(-sin(7x) + 7xcos(7x))

f''''(x) = 16(-2401cos(7x) + 2401xsin(7x)) + 784xsin(7x)

At x=0, all the terms with sin(7x) vanish, and we are left with:

f(0) = 0

f'(0) = 0

f''(0) = 32

f'''(0) = -5488

f''''(0) = 0

Thus, the Maclaurin series for f(x) is:

f(x) = 32x^2 - 2744x^3 + O(x^4)

We can also find the coefficients directly by using the formula:

cn = f^(n)(0) / n!

where f^(n)(0) is the nth derivative of f(x) evaluated at x=0. Using this formula, we get:

c0 = f(0) / 0! = 0

c1 = f'(0) / 1! = 0

c2 = f''(0) / 2! = 32 / 2 = 16

c3 = f'''(0) / 3! = -5488 / 6 = -914.6667

c4 = f''''(0) / 4! = 0 / 24 = 0

Therefore, the Maclaurin series for f(x) is:

f(x) = 16x^2 - 914.6667x^3 + O(x^4)

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Answer:

D

Step-by-step explanation:

f(x)=x-14     g(x)=x^2+14

fog=f(g(x)

=f(x^2-+14)

=f(x^2+14)-14

fog(x)=x^2

Answer:

The area is 45 inches

Step-by-step explanation:

L×W=A