evaluate each expression for x = 2 and y = 5

3.) -4x^-2 + 3y^0
4.) 2x^0y^-2

Since the equation of the curve is

To find the area under the curve we will use the integration

a = 0, b = 2

In integration, we add the power of x by 1 and divide the term by the new power

We will simplify the bracket

Now we will substitute x by 2 and 0, then subtract the values of them

Simplify

The area under the curve is 37 1/3 square units (37.3333)

Answer:

For the first excerpt, the rhyme scheme is ABAB

For the second excerpt, the rhyme scheme is ABCB

For the third it is, AABB

For the Fourth it is, ABAB

For the Fifth it is, ABCB

Step-by-step explanation:

Hope this helped

A brainliest is always appreciated.

Therefore, the expected total dollar value of sales for the two appointments is $460.

In mathematics and statistics, probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents impossibility and 1 represents certainty. For example, if the probability of an event is 0.5, it means that there is a 50% chance of the event occurring, while if the probability is 0, it means that the event is impossible and will not occur. Probability theory is used to study random events and uncertain outcomes, and it has applications in a wide range of fields, including physics, engineering, economics, and social sciences.

Here,

a. To find the probability mass function of the total dollar value of sales (x), we need to consider all the possible outcomes of the two appointments and their corresponding probabilities.

There are four possible outcomes for the sales of the two appointments, which are:

No sales: This can happen with a probability of (1-0.3) x (1-0.6) = 0.28

Sale of a deluxe system at the first appointment and no sale at the second appointment: This can happen with a probability of 0.3 x (1-0.6) = 0.12

Sale of a standard system at the first appointment and a deluxe system at the second appointment: This can happen with a probability of (1-0.3) x 0.6 = 0.42

Sale of a standard system at both appointments: This can happen with a probability of 0.3 x 0.6 = 0.18

Let X be the random variable representing the total dollar value of sales, which can take the values $0, $500, $1000, and $1500. Then the probability mass function of X is:

P(X = $0) = 0.28

P(X = $500) = 0.3 x 0.6 + 0.7 x 0.4 = 0.46

P(X = $1000) = 0.3 x 0.4 + 0.7 x 0.6 = 0.58

P(X = $1500) = 0.18

b. To find the expected total dollar value of sales, we need to calculate the expected value of the random variable X, which is given by:

E(X) = Σ xi P(X = xi), where xi is the value of X and P(X = xi) is the probability of X taking that value.

Using the probability mass function of X from part (a), we have:

E(X) = $0 x 0.28 + $500 x 0.46 + $1000 x 0.58 + $1500 x 0.18

= $460

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Zeke's average speed in mph for the first 20 minutes was 3 mph.

To find Zeke's average speed in mph for the first 20 minutes, divide the distance traveled by the time it took him to travel that distance:

1.0 mile / 20 minutes = 0.05 miles per minute

Since there are 60 minutes in an hour, to convert minutes per mile to miles per hour, multiply by 60:

0.05 miles per minute * 60 minutes per hour = 3 mph

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Geometrically, S represents a plane in ℝ^3 that is orthogonal (perpendicular) to the vector m.

To establish that S is a subspace of ℝ^3, we must confirm that S is closed under vector summation and scalar multiplication.

A pertinent theorem from linear algebra that can be applied here is the "Subspace Criterion" theorem. This principle states that a non-empty subset S of a vector space V is a subspace if and only if it fulfills the following conditions:

For any vectors a, b ∈ S, their addition a + b ∈ S.

For any vector a ∈ S and any scalar k, the product ka ∈ S.

Now, let's define a vector m = v - e.

Observe that for any y in S, we have:

m • y = (v - e) • y = (v • y) - (e • y) = 0.

This implies that y is orthogonal to the vector m.

Geometrically, S represents a plane in ℝ^3 that is orthogonal (perpendicular) to the vector m.

As the plane is closed under vector summation and scalar multiplication, S is indeed a subspace of ℝ^3.

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Suppose v = (2, 4, 5) and e = (6, 7, 3) are a pair of vectors in ℝ^3. Let S be the collection of all y in ℝ^3 such that the inner product of v and y equals the inner product of e and y (i.e., v • y = e • y).

What principle can be utilized to demonstrate that S is a subspace of ℝ^3? Describe S in geometric terms.

Answer

is their multiple choice

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

-x + 8 = x - 16

add x to both sides

8 = 2x - 16

add 16 to both sides

24 = 2x

divide by 2 on both sides

x = 12

Answer:

x = 12

Step-by-step explanation:

you can do any of the following as the first step:

a)  add 'x' to each side to get:  8 = 2x - 16

b)  subtract 'x' from each side to get:  -2x + 8 = -16

c) subtract 8 from each side to get:  -x = x -24

d) add 16 to each side to get:  -x + 24 = x

if we choose to solve the equation in (a) we will get:

8 = 2x - 16

8 + 16 = 2x - 16 + 16 which simplifies to:

24 = 2x

divide each side by 2 to get x = 12

solving any of the above 4 equation will give you x = 12

Answer:

Predatory animals rely on reefs for food.

Step-by-step explanation:

More animals live there instead of open ocean so this answer makes the most sence.

Have a good day!

Answer:

Predatory animals rely on reefs for food.

Step-by-step explanation:

global warming make waters temp go up not down

dead reefs are gray which is a different color just an obvious example

the last two contradict each other and fish use them as home so fish that eat those fish will go towards the food not away

Answer: 1. 0.075 (i think) , 2. $70.84, 3. 4.77$ , 4. 71.15$ ( i think this is true i don't know fs.)

Step-by-step explanation:

Answer:The answer should be 1504 if i did it corectly

Step-by-step explanation: to get volume you need to multiply L*W*H and filling that in. 13 * 8 * 2 whitch you should get 208

the other size would have to be 9 * 8 * 18 which you should get 1296

then to get the total you just need to add together the two sums 208+1296 which should equal 1504.

The number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards

The complete question is added as an attachment

From the attached figure, we have:

Exit = 1000 feet

From the question, we have

3 feet = 1 yard

So, the number of yards is

Number of yard =Exit/3 yards

This gives

Number of yard = 1000/3 yards

Evaluate the quotient

Number of yard = 333 1/3 yards

Hence, the number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards

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The coordinates for the image after the translation of EFG would be E'(-2, 3), F'(-4, 0), and G'(-1, -2).

To translate a point, you simply add or subtract the specified units from its x and y coordinates. In this case, you are asked to translate the points 3 units left and 1 unit down.

To translate 3 units left, subtract 3 from the x-coordinate, and to translate 1 unit down, subtract 1 from the y-coordinate.

For point E (1, 4):

E' = (1 - 3, 4 - 1) = (-2, 3)

For point F (-1, 1):

F' = (-1 - 3, 1 - 1) = (-4, 0)

For point G (2, -1):

G' = (2 - 3, -1 - 1) = (-1, -2)

The translated points are E'(-2, 3), F'(-4, 0), and G'(-1, -2).

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Ciphers, such as the enigma machine, that rearrange the sequence of characters based on a fixed rule are known as substitution cipher.

A type of encryption known as a replacement cypher employs a key to substitute certain plaintext chunks with the ciphertext in a predetermined manner.

Single letters, pairs of letters, triplets of letters, combinations of the aforementioned, etc. are all acceptable "units." The receiver decodes the text using the inverse substitution technique to ascertain what the original message was.

Cyphers for transposition and substitution are similar. In a transposition cypher, the plaintext's units are not changed; instead, they are rearranged in a brand-new, frequently extremely complex pattern. A substitution cypher modifies the units themselves while preserving the order of the units from the plaintext in the ciphertext.

The substitution cypher can take many different shapes. If a cypher only functions with single letters, it is referred to as a simple substitution cypher; a polytrophic cypher, on the other hand, functions with larger groups of letters.

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Answer:

5/8 x 4/9 = 20/72 as simplified as 5/18 in fraction form. 5/8 x 4/9 = 0.2778 in decimal form.

Step-by-step explanation:

The product of -4/9 and -5/8 is 5/18.

Given are two negative fractions -4/9 and -5/8, we need to find their product,

To find the product of two negative fractions, you can multiply their numerators together and their denominators together, while keeping the negative sign.

Let's find the product of -4/9 and -5/8:

Product = (-4/9) x (-5/8)

To calculate the product, multiply the numerators and denominators:

Product = (-4 x -5) / (9 x 8)

Simplifying the multiplication:

Product = 20 / 72

Now, you can simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which in this case is 4:

Product = (20/4) / (72/4)

= 5/18

Therefore, the product of -4/9 and -5/8 is 5/18.

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Answer:

  61°

Step-by-step explanation:

We have to take the arcs at P to mean angles RPW and MPW are congruent. That means each is 58°/2 = 29°. Angle PMR is the other acute angle in right triangle PMW, so it will be the complement of 29°.

  ∠PMR = 90° -29° = 61°

Answer:

Step-by-step explanation:

Multiplication

Ratio of Tables to garbage = 8:3

Small camp ground:

40 picnic tables and let x be the number of garbage cans

\(\frac{8}{3}=\frac{40}{x}\\\\\frac{8*5}{3*5}=\frac{40}{x}\\\\\frac{40}{15}=\frac{40}{x}\\\\\)

x = 15

Small campground with 40 picnic table needs 15 garbage cans

Large picnic ground:

120 picnic tables and let y be the number of garbage cans

\(\frac{8}{3}=\frac{120}{y}\\\\\frac{8*15}{3*15}=\frac{120}{y}\\\\\frac{120}{45}=\frac{120}{y}\)

y= 45

Big campground with 120 picnic table needs 45 garbage cans

- Events A, B, C, and D are exhaustive.
- Events A and B, B and D are not mutually exclusive.
- Events A and C, C and D, A and D are mutually exclusive.

To determine whether the events are exhaustive or mutually exclusive, we need to understand the definitions of these terms:
1. Exhaustive events: Events are considered exhaustive if the union of all the events covers the entire sample space S. In other words, there are no outcomes in the sample space that are not included in any of the events.
2. Mutually exclusive events: Events are considered mutually exclusive if they have no outcomes in common. In other words, the events cannot occur simultaneously.
Now let's analyze the given events:
A = {1, 2, 4}
B = {1, 2, 4, 5, 6}
C = {5, 6}
D = {2, 3, 6}
To determine if the events are exhaustive, we need to check if their union covers the entire sample space S.
The union of A, B, C, and D is {1, 2, 3, 4, 5, 6}, which covers the entire sample space S. Therefore, the events A, B, C, and D are exhaustive.

To determine if the events are mutually exclusive, we need to check if any outcomes are shared between the events.
The outcomes 1, 2, and 4 are shared between events A and B. Therefore, events A and B are not mutually exclusive.
The outcomes 2 and 6 are shared between events B and D. Therefore, events B and D are not mutually exclusive.
No outcomes are shared between events A and C, C and D, or A and D. Therefore, events A and C, C and D, and A and D are mutually exclusive.

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Answer:

D. 10^10

Step-by-step explanation:

Multiplying numbers with exponents rule : \(a^b*a^c=a^b^+^c\)

explanation of rule : we simply keep the bases the same and add the exponents.

10^3 • 10^7

keep the base as 10 and add the exponents

\(10^3 * 10^7 =10^3^+^7=10^1^0\)

Keep in mind that this only works when the bases are the same.

Answer:

\(\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: ANSWER : \: \: \: \: 10^{10} }}}}}}}}\)

Step-by-step explanation:

The given expression, 10³ • 10⁷ has the same base but different exponential values. We know that,

So,

\(\large{\mathfrak{10^{3} * 10^{7} }}\)

= \(\large{\mathfrak{10^{3 + 7} }}\)

= \(\huge{\boxed{\mathfrak{10^{10} }}}\)  (3rd option)

_____

Hope it helps!

\(\mathfrak{Lucazz}\)

\(5y = 6x + 21 \\ y = \frac{6}{5} x + \frac{21}{5} \)

y intercept:

\(y = \frac{21}{5} \)

The simplified value of the given expression 0 + (1/2)×(2. 219^2)*9. 81 is 24.143810005.

To simplify the expression, we can use the Order of Operations (PEMDAS): 1. Parentheses 2. Exponents 3. Multiplication 4. Division 5. Addition 6. Subtraction. Hence, to simplify the expression 0 + (1/2)×(2.219^2)*9.81, we need to follow the order of operations (PEMDAS).

1. The parentheses must be solved first: (2.219^2) = 4.924361

2. The exponents are solved next: there are none in this expression

3. The multiplication must be carried out next: 4.924361x9.81 = 48.30405741

4. The division is done next: (1/2)x48.30405741 = 24.143810005

5. The addition and subtraction are carried out last: 0 + 24.143810005 = 24.143810005

Therefore, the simplified expression is 24.143810005.

Note: The question is incomplete. The complete question probably is: Simplify the question 0 + (1/2)×(2. 219^2)*9. 81

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The polynomial q(x) = x² - 1 spans the kernel of the linear transformation T: P2 → R³, and T is onto since any vector [a, b, c] in R³ can be represented as [P] for some polynomial P(x) in P2.

To find the polynomial q, we need to find the null space of T.

To prove that T is onto, we need to show that the range of T is equal to the codomain.

Let us start by defining the linear transformation T: P2 → R³ where T(P) = [P], and P is a polynomial of degree at most 2. The vector space P2 consists of all polynomials of the form P(x) = ax² + bx + c, where a, b, and c are constants.

To find a polynomial q in P2 such that Span{q} is the kernel of T, we need to find a non-zero polynomial q(x) such that T(q) = [q] = 0. In other words, we need to find a non-zero polynomial q(x) such that q(x) has a repeated root.

Let q(x) = x² - 1. Then, T(q) = [q] = [x² - 1] = [1, 0, -1]. Since [1, 0, -1] ≠ 0, q(x) is a non-zero polynomial and Span{q} is the kernel of T.

To prove that T is onto, we need to show that for any vector [a, b, c] in R³, there exists a polynomial P(x) in P2 such that T(P) = [P] = [a, b, c].

Let P(x) = ax² + bx + c. Then, T(P) = [P] = [ax² + bx + c] = [a, b, c] if and only if P(x) has coefficients a, b, and c.

To find such a polynomial, we can solve the system of equations:

a + 0b + 0c = a

0a + b + 0c = b

0a + 0b + c = c

which gives us a = a, b = b, and c = c. Therefore, any vector [a, b, c] in R³ can be written as [P] for some polynomial P(x) in P2, and T is onto.

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The probability of drawing a winning pair which is a pair with the same color OR same letter 0.9388.

The problem we are dealing with is related to probability which is referred to as Probability is essentially how likely something is to happen. At whatever point we're uncertain approximately the result of an occasion, we will conversation around the probabilities of certain outcomes—how likely they are.

Since we are provided with four red cards and four green cards so, the total possible combination of the  8 cards will be

C(8,2) = 28

out of which  2*C(4,2)=12 are the  pairs of the same color

therefore the probability of picking a pair with the same color OR same letter is

1 - (12*4)/28^2 = 0.9388

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Dr. Hellsing is in the process of establishing a norm-referenced assessment.

Norm-referenced assessment is a method that evaluates an individual's aptitude in comparison with the outputs of a larger, representative sample of test takers from the corresponding population. This technique ranks persons on a scale relative to each other instead of objectively evaluating their actual abilities.

Therefore, by giving the exam to a significant group of high school graduates, Dr. Hellsing will be able to generate standards to interpret separate test scores and equate them to the outcome of others in the same demographic.

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Answer:

(a)=∆PQU,∆QRV,∆RSW and ∆SPT are congruent.

Step-by-step explanation:

PQRS is square (given)

PQ=QR=RS=PS

Answer: 720

Step-by-step explanation: 1800 x 40%

Answer:

720 math books

Step-by-step explanation:

1800×40%= 720

there are 720 math books

The Fourier transform G(f) of the convolution g(t) = g1(t) * g2(t), where g1(t) is the triangle function and g2(t) is the unit rectangle function, is given by G(f) = (4/T) * sinc^3(fT/2), where T is the width of the triangle function.

To find the Fourier transform G(f) of the convolution g(t) = g1(t) * g2(t), where g1(t) is the triangle function and g2(t) is the unit rectangle function, we can use the properties of the Fourier transform.

The Fourier transform of g1(t) is given by:

G1(f) = (2/T)² * sinc²(fT/2)

where T is the width of the triangle function.

The Fourier transform of g2(t) is given by:

G2(f) = T * sinc(fT)

where T is the width of the rectangle function.

To find the Fourier transform G(f) of the convolution g(t) = g1(t) * g2(t), we need to multiply the Fourier transforms of g1(t) and g2(t):

G(f) = G1(f) * G2(f)

Substituting the expressions for G1(f) and G2(f):

G(f) = [(2/T)²* sinc²(fT/2)] * [T * sinc(fT)]

Simplifying the expression:

G(f) = (4/T) * sinc³(fT/2)

Therefore, the Fourier transform of the convolution g(t) = g1(t) * g2(t) is G(f) = (4/T) * sinc³fT/2).

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Step-by-step explanation:

Traffic sign painting cost

The cost of painting a circular traffic sign is $2,50 per sq foot. How much will it cost to paint the sign if its diameter is 36 in.

We can start by finding the area of the circular traffic sign, using the formula for the area of a circle:

A = πr^2

where A is the area of the circle, π is the mathematical constant pi (approximately 3.14), and r is the radius of the circle. We are given the diameter of the circle, which is 36 inches. The radius is half of the diameter, so we have:

r = 36/2 = 18 inches

We need to convert the radius from inches to feet, since the cost of painting is given per square foot. There are 12 inches in a foot, so:

r = 18/12 = 1.5 feet

Now we can find the area of the circle:

A = πr^2 = π(1.5)^2 ≈ 7.07 square feet

Finally, we can calculate the cost of painting the sign:

cost = $2.50/sq ft x 7.07 sq ft ≈ $17.68

Therefore, it will cost approximately $17.68 to paint the circular traffic sign

Answer:

D

Step-by-step explanation:

\(\frac{1}{7}\)÷\(\frac{12}{1}\)=1/84

\(\huge\sf\underline\red{Answer}\)

\(\sf{ ⇒ \: \dfrac{1}{7} \div 12}\)

\(\sf{ ⇒ \: \dfrac{ \dfrac{1}{7} }{12} }\)

\(\sf{⇒ \dfrac{1}{7} \times \dfrac{1}{12} }⇒\dfrac{1}{84} \)

Answer:

0.63 ÷ 0.3 = 63 x 10^-2 ÷ 3 x 10^-1 = 63 / 3  x 10^(-2--1) = 21 x 10^-1 = 2.1

Answer:

2.1.

Step-by-step explanation:

63/3 = 21

0.63 = 63 / 100

and 0.3 = 3 / 10

so 0.63/0.3 = 63 /100 / 3/10 = 63/100 * 10/3

= 63/3 / 10

So the answer is 21 / 10 = 2.1.