What is the slope of y = -5

Answer:

Option D: x ≥ 1.

Step-by-step explanation:

Here we have the quotient:

\(\frac{\sqrt{15*(x - 1)} }{\sqrt{2*x^2} }\)

Here we have two restrictions for the domain.

first, the denominator can never be zero, so x must be different than zero.

Second, the arguments of the square roots can not be negative.

The one in the denominator is always positive because we have the square of x.

So let's look at the values of x, such that:

15*(x - 1) ≥ 0

(x - 1) ≥ 0

x ≥  1

Note that when x ≥ 1, we are also removing the problem in the denominator, then we can conclude that the fraction is defined when:

x ≥ 1.

The correct option is D

There were about 169 principals in attendance.

Arithmetic is a branch of mathematics that deals with the study of the properties of numbers and the basic operations of addition, subtraction, multiplication, and division. It involves the manipulation and calculation of numerical values to solve problems and perform computations.

Let P be the total number of principals at the conference.

Let T be the total number of teachers at the conference.

From the given information, we know that there were 80 people in the exhibit room, with 65 teachers and 15 principals. This means that the proportion of teachers to principals in the exhibit room was 65/15 or 13/3.

If we assume that this proportion holds for the entire conference attendance, we can set up the following equation:

(T - 80) / P = 13 / 3

where (T - 80) represents the total number of teachers outside of the exhibit room, and P represents the total number of principals at the conference.

We also know that the total attendance at the conference was 900, so we can set up another equation:

T + P = 900

Solving these two equations simultaneously, we get:

T = 900 - P

(T - 80) / P = 13 / 3

(820 - P) / P = 13 / 3

3(820 - P) = 13P

2,460 - 3P = 13P

2,460 = 16P

P = 2,460 / 16

P ≈ 154

Based on this estimate, we can predict that there were approximately 154 principals in attendance at the conference.

Therefore, the closest answer choice is:

There were about 169 principals in attendance.

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Since we have four three cards, four four cards and four five cards, this means that we have 12 possibilities out of 52; that is the probability is:

Therefore the probability is 3/13

Answer:

B :)

Step-by-step explanation:

Answer:

Angles ⇒ 40°, 40°, 140°, 140°

Step-by-step explanation:

Since the opposite angles of a parallelogram are equal, and the angles in a quadrilateral add up to 360°:

360 - 2(40) = 280

280/2 = 140°

Angles ⇒ 40°, 40°, 140°, 140°

Answer:10

Step-by-step explanation:

To find the counterclockwise circulation of the vector field C around the triangle with vertices (0, 0), (1, 0), and (1, 4), we can break it down into three line integrals along each side of the triangle.

1. Line integral along the line segment from (0, 0) to (1, 0):

We parameterize this line segment as r(t) = (t, 0) for t ranging from 0 to 1.
The differential vector dr(t) = (dt, 0).

The circulation along this line segment can be calculated as:

C1 = ∫C F · dr = ∫[from 0 to 1] (xy dx + x²y³ dy) · (dt, 0) = ∫[from 0 to 1] (t * 0) dt = 0.

2. Line integral along the line segment from (1, 0) to (1, 4):

We parameterize this line segment as r(t) = (1, t) for t ranging from 0 to 4.

The differential vector dr(t) = (0, dt).

The circulation along this line segment can be calculated as:

C2 = ∫C F · dr = ∫[from 0 to 4] (xy dx + x²y³ dy) · (0, dt) = ∫[from 0 to 4] (0 + t⁴) dt = ∫[from 0 to 4] t⁴ dt = (1/5) * t⁵ [from 0 to 4] = (1/5) * (4⁵) = 102.4.

3. Line integral along the line segment from (1, 4) to (0, 0):

We parameterize this line segment as r(t) = (1 - t, 4 - 4t) for t ranging from 0 to 1.

The differential vector dr(t) = (-dt, -4dt).

The circulation along this line segment can be calculated as:

C3 = ∫C F · dr = ∫[from 0 to 1] (xy dx + x²y³ dy) · (-dt, -4dt) = ∫[from 0 to 1] (-t(1 - t) dt - (1 - t)²(4 - 4t)³ * 4dt) = ∫[from 0 to 1] (-t + t² - 4(1 - t)²(4 - 4t)³) dt.

To calculate C, we need to add up C1, C2, and C3:
C = C1 + C2 + C3 = 0 + 102.4 + ∫[from 0 to 1] (-t + t² - 4(1 - t)²(4 - 4t)³) dt.

To find the final value of C, we need to evaluate the remaining integral..

However, since the integrand involves higher powers and nested functions, it might not have a simple closed-form solution.

You can evaluate the integral using numerical methods or a computer algebra system for a more precise result.

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The line integral of $C$ over the given triangle is $2 + \frac{16}{5} + \frac{64}{7}$.

The line integral of $C$ over the given triangle is equal to the integral of the function $Cxy\,dx + x^2y^3\,dy$ over the curve $C$, where $C$ represents the counterclockwise path around the triangle with vertices $(0, 0)$, $(1, 0)$, and $(1, 4)$.

To evaluate this line integral, we need to parametrize the curve $C$. Since $C$ is a triangle, we can split it into three line segments.

First, let's consider the line segment from $(0, 0)$ to $(1, 0)$. We can parametrize this segment as $x = t$ and $y = 0$, where $t$ ranges from 0 to 1.

Next, we have the line segment from $(1, 0)$ to $(1, 4)$. We can parametrize this segment as $x = 1$ and $y = 4t$, where $t$ ranges from 0 to 1.

Finally, we consider the line segment from $(1, 4)$ to $(0, 0)$. We can parametrize this segment as $x = 1 - t$ and $y = 4(1 - t)$, where $t$ ranges from 0 to 1.

Now, we can substitute these parametric equations into the line integral expression:

\[\int_{C} Cxy\,dx + x^2y^3\,dy = \int_{0}^{1} (t)(0)\,dt + (t^2)(0)^3(0)\,dt + \int_{0}^{1} (1)(4t)\,dt + (1^2)(4t)^3\,dt + \int_{0}^{1} (1 - t)(4(1 - t))\,dt + (1 - t)^2(4(1 - t))^3\,dt\]

Simplifying this expression, we get:

\[\int_{C} Cxy\,dx + x^2y^3\,dy = \int_{0}^{1} 4t\,dt + \int_{0}^{1} 64t^3\,dt + \int_{0}^{1} 4(1 - t)(1 - t)^2(4(1 - t))^3\,dt\]

Evaluating each integral, we find:

\[\int_{C} Cxy\,dx + x^2y^3\,dy = 2 + \frac{16}{5} + \frac{64}{7}\]

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The formula for the circumference of a circle is "c = 2 pi r", where "c" represents the circumference, "pi" represents the mathematical constant pi (approximately equal to 3.14159), and "r" represents the radius of the circle.

This formula relates the distance around a circle to its size, and is useful for calculating various measurements related to circles, such as arc length and sector area. It is important to note that the formula for the circumference of a circle assumes the circle is a perfect, unbroken curve, and thus may not be accurate for circles that are not perfectly round.

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Answer:

M. T . FFFF

Step-by-step explanation:

IM HUNGRY A. - S.  F

Answer:

ABD = 90 and DBC = 63

Step-by-step explanation:

ABD + DBC = ABC    

(5x +5) + (3x + 12) = 153  

combine like terms to simplify    

8x + 17 = 153

subtract 17 from 153  

8x = 136

divide 136 by 8

x =17  

Now we plug x = 17 in -> ABD: 5 x 17 + 5 = 90   DBC: 3 x 17 + 12 = 63

Answer:

Para encontrar cuántas libras de comida para perro hay en cada bolsa, debemos dividir la cantidad total de comida entre el número de bolsas.

En este caso, la cantidad total de comida es 16/5 libras y el número de bolsas es 4.

Por lo tanto, la cantidad de comida en cada bolsa es (16/5) / 4. Calculemos eso.

Cada bolsa contendrá 4/5 libras de comida para perro, que es equivalente a 0.8 libras.

Answer:4/5

Step-by-step explanation:

Answer:

18cm^2

Step-by-step explanation:

If it's a rectangle with side lengths of 6 and 3 cm then Multiply two sides together --> 18 cm^2

Answer:

18cmsquare

...

.

.

Step-by-step explanation:

Multiply both the cm ...

Answer:

1 = n<9

2=  m≤54

3= 266≤p

Step-by-step explanation:

A and B have the same elements, the measure of AUB will be equal to the measure of B.

To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
  - By definition, a null set has a measure of 0.
  - Since m*(A) = 0, it implies that A has no elements or its measure is 0.
  - Therefore, A is a null set.
2. If A is a null set, then AUB = B:
  - Since A is a null set, it means that it has no elements or its measure is 0.
  - In set theory, the union of a null set (A) with any set (B) results in B.
  - Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
  - Since AUB = B, it implies that both sets have the same elements.
  - The measure of a set is defined as the sum of the measures of its individual elements.
  - Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
  - Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).

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In ΔQRS, if sin R = cos S, we can conclude that ∠R and ∠S are complementary angles.

In a right triangle, the sine of an angle is equal to the cosine of its complement. By the given equation sin R = cos S, it implies that R and S are complementary angles that add up to 90 degrees.

To understand this concept, we can consider the unit circle. The sine of an angle represents the y-coordinate on the unit circle, while the cosine represents the x-coordinate. When sin R = cos S, it means that the y-coordinate of angle R is equal to the x-coordinate of angle S. This suggests that angle R and angle S are complementary angles, as they share the same relationship between their trigonometric ratios.

Therefore, we can conclude that in ΔQRS, ∠R and ∠S are complementary angles, with their measures adding up to 90 degrees.

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The complete question is:

In ΔQRS, sin R= cos S. What can you conclude about ∠R and ∠S?

Both are supplementary angles.

Both are complementary angles.

Both are obtuse angles.

Both are right angles.

Answer:

$400

Step-by-step explanation:

150 + 300 = 450

450 - 50 = 400

Answer:

150+300=450 then 450-50=400

Step-by-step explanation:

I hope this is the right answer  ^-^

The area of the acute triangle can be found by the formula: area of acute triangle = (1/2) × b × h.

According to Pythagoras theorem the triangle is termed as acutely angled if the square of its longest side is less than the sum of the squares of two other smaller sides. Let a, b, and c are the length of sides of a triangle, where side "a" is the longest, then the given triangle is acutely angled if and only if a^2 < b^2 + c^2.

The area of the acute triangle can be calculated by the formula:

         area of acute triangle = (1/2) × b × h

         b = base, and

         h = height

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In this question, we are asked to determine the truth-values of two statements involving sets A and B. For each statement, we need to determine if it is true or false. If it is false, we need to provide specific counterexamples by choosing appropriate sets A and B.

a. (A\B) ⊆ A

The statement (A\B) ⊆ A is true for any sets A and B. This is because the set difference (A\B) contains elements that are in A but not in B. Therefore, by definition, every element in (A\B) is also an element of A. There are no counterexamples to this statement.

b. A^c ⊆ (AUB)

The statement\(A^c\) ⊆ (AUB) is true for any sets A and B. This is because the complement of A, denoted as \(A^c\), contains all elements that are not in A.

On the other hand, the union of A and B, denoted as (AUB), contains all elements that are in A or in B or in both.

Since the complement of A contains all elements not in A, it includes all elements in B that are not in A as well.

Therefore, \(A^c\) ⊆ (AUB) holds true for any sets A and B. There are no counterexamples to this statement.

In conclusion, both statements are true for any sets A and B, and there are no counterexamples.

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Answer:

\((9y^2-4x)\,(9y^2+4x)=81y^4-16x^2\)

and it is the special factor product that leads to a difference of squares

Step-by-step explanation:

The product: \((9y^2-4x)\,(9y^2+4x)\)

is a product of the form:

\((a-b)\,(a+b) = a^2-b^2\)

which leads as shown to a difference of squares. So they binomials \((a-b)\) and \((a+b)\)  are the factors of the difference of squares \(a^2-b^2\).

In our case, the product:

\((9y^2-4x)\,(9y^2+4x)= (9y^2)^2-(4x)^2=81y^4-16x^2\)

Answer:

B

Step-by-step explanation:

Given the eigenvectors X1, X2, and X3 corresponding to the eigenvalues λ1 = -3, λ2 = 2, and λ3 = 4 respectively, we express X as X = a*X1 + b*X2 + c*X3 and find that Ax = -3a*X1 + 2b*X2 + 4c*X3.

Let's express X as a linear combination of X1, X2, and X3:

X = a*X1 + b*X2 + c*X3,

where a, b, and c are constants.

To find the values of a, b, and c, we can use the given eigenvalues and eigenvectors.

For the eigenvalue λ1 = -3 and eigenvector X1:

A*X1 = λ1*X1,

A*X1 = -3*X1.

Similarly, for the eigenvalue λ2 = 2 and eigenvector X2:

A*X2 = λ2*X2,

A*X2 = 2*X2.

And for the eigenvalue λ3 = 4 and eigenvector X3:

A*X3 = λ3*X3,

A*X3 = 4*X3.

Now, let's calculate Ax:

Ax = A*(a*X1 + b*X2 + c*X3)

  = a*(A*X1) + b*(A*X2) + c*(A*X3)

  = a*(-3*X1) + b*(2*X2) + c*(4*X3)

  = -3*a*X1 + 2*b*X2 + 4*c*X3.

Since we have expressed X as a linear combination of X1, X2, and X3, and we have calculated Ax, we can see that:

Ax = -3*a*X1 + 2*b*X2 + 4*c*X3.

Therefore, the expression for X as a linear combination of X1, X2, and X3 is:

X = a*X1 + b*X2 + c*X3,

and Ax = -3*a*X1 + 2*b*X2 + 4*c*X3.

Note that the values of a, b, and c would need to be determined based on additional information or given conditions to find the specific values of X and Ax.

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To determine the optimal order quantity for Rocky Mountain Tire Center, you must consider ordering costs, storage costs, and the purchase price of the tires. The order quantity should minimize the total cost including both ordering cost and storage cost.

The EOQ formula is given by: EOQ = √((2DS) / H)

Where: D = Annual demand (7,000 go-cart tires)

S = Ordering cost per order ($40) H = Holding cost - percentage of the purchase price (40% of the purchase price)

we need to determine the purchase price per tire based on the quantity ordered.

EOQ = √((2 * 7,000 * 40) / (0.4 * 15))

=118 tires

they should order approximately 118 tires.

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Answer:

22

Step-by-step explanation:

Hey There!

Your answer is 22

I got this answer by dividing 11 by 50%

hope this helps :)

Answer:

Your answer is 22

Step-by-step explanation:

Answer: The one on the left.

Step-by-step explanation:

There is no file, but the panda on the left is bigger.

Answer: 15, 9

Step-by-step explanation:

By the corresponding angles theorem,

\(10x-6=8x+24\\\\2x-6=24\\\\2x=30\\\\x=15\\\\\)

Using vertical angles,

\(12y+36=10x-6\\\\12y+36=10(15)-6=144\\\\12y=108\\\\y=9\)

Answer:

2/100 im pretty sure if not then 2/99

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

http://www.calcul.com/show/calculator/recurring-decimal-to-fraction?i=0.02...

Answer:

2³x3²

Step-by-step explanation:

(2³x3⁶)/3⁴

2³x3⁶^-4

= 2³x3²

The expression that represents the discounted price of the T-shirt is the one with the 30% discount, which is given by `x - 0.3x`. Therefore, the answer is B. `0.7x`.

Explanation:

When a store offers a discount on an item, the discounted price is calculated as follows:

Discounted price = Regular price - (Discount rate × Regular price)

where Discount rate = Discount ÷ 100

So, if the discount offered is 30%, then the discount rate is 30 ÷ 100 = 0.3.

Substituting this in the above equation,

Discounted price = Regular price - (0.3 × Regular price)

Simplifying the above expression, we get

Discounted price = (1 - 0.3) × Regular price

Discounted price = 0.7 × Regular price

Therefore, the expression that represents the discounted price of the T-shirt is given by `x - 0.3x = 0.7x`.

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