Simplify
7p2 x 3p
14p4

20

10÷1/2

≈10/1÷1/2

KFC

10/1×2/1

=20/1=20

Hope this helped- have a good day, cya)

The number of solutions of the system y = 3x + 5 is one because it is a linear equation.

An equation in which is  the highest power of to the  variables 1 is knowns as the  linear equation. Mathematically: it is an  algebraic equations that can be also  written in the form of  ax + b = 0 or ax + by + c = 0, where a, b and c are definitely real numbers and x and y are variables with the highest power one.

Linear equations are equations in which the variables are raised to the power of 1, and the graph of the equation is a straight line. As a result, there is only one solution to the equation, which is when the line intersects the x-axis. This means that the equation has only one set of x- and y-coordinates, where x is the independent variable and y is the dependent variable, that satisfy the equation. The x-coordinate of the solution is the same as the value of x that makes the equation true and the y-coordinate is the value of y for this same x-value.

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So, all second-order partial derivatives of the function h(x, y) = 25 are equal to 0. To compute the second-order partial derivative of the function h(x,y) = 25, we need to find the partial derivatives with respect to x and y twice.

The first partial derivative of h(x,y) with respect to x is 0, as the function does not depend on x. The second partial derivative with respect to x is also 0 since taking the derivative of a constant always results in 0.

The first partial derivative of h(x,y) with respect to y is also 0, as the function does not depend on y. The second partial derivative with respect to y is also 0, for the same reason as above.

Therefore, the second-order partial derivatives of the function h(x,y) = 25 are both 0.

In summary, the second-order partial derivative of the function h(x,y) = 25 with respect to both x and y is 0. This means that the function is a constant function that does not change with respect to either variable.
Hello! I'd be happy to help you compute the second-order partial derivative of the function h(x, y) = 25. To do this, we'll find the first-order partial derivatives with respect to both x and y, and then take their partial derivatives again.

First-order partial derivatives:
∂h/∂x = 0 (since h does not depend on x)
∂h/∂y = 0 (since h does not depend on y)

Now, we'll find the second-order partial derivatives:
∂²h/∂x² = ∂(∂h/∂x)/∂x = ∂(0)/∂x = 0
∂²h/∂y² = ∂(∂h/∂y)/∂y = ∂(0)/∂y = 0
∂²h/∂x∂y = ∂(∂h/∂x)/∂y = ∂(0)/∂y = 0
∂²h/∂y∂x = ∂(∂h/∂y)/∂x = ∂(0)/∂x = 0

So,   derivatives of the functional second-order partial v(x, y) = 25

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All of the criteria listed are correct.

A: ASA (Angle-Side-Angle) Similarity: Two triangles are ASA similar if two angles of one triangle are equal to two angles of the other triangle, and the included side of the first triangle is proportional to the included side of the second triangle.

B: SSS (Side-Side-Side) Similarity: Two triangles are SSS similar if all three pairs of corresponding sides are proportional.

C: SAS (Side-Angle-Side) Similarity: Two triangles are SAS similar if two sides of one triangle are proportional to two sides of the other triangle, and the included angles of the two triangles are equal.

D: AAA (Angle-Angle-Angle) Similarity: Two triangles are AAA similar if all three pairs of corresponding angles are equal.

Thus, All of the criteria listed are correct.

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Answer:

292 and 2092

Step-by-step explanation:

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

Total : 240 + 600 + 90 = 730

So, cost of painting = 730/25 x 10 = 29.2 x 10 = 292

Total: 292 + 1800 = 2092

The total cost of paint would be 2092 dollars.

The area of the cuboid is the sum of product of the length, breadth of the given prism.

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

The Total area: 240 + 600 + 90 = 730

So, The cost of painting = 730/25 x 10

= 29.2 x 10

= 292

Total: 292 + 1800 = 2092

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With given expression, Fiction books will be calculated as 12.

What are expressions exactly?

In mathematics, expressions are mathematical claims that consist of at least two sentences that contain numbers, variables, or both, and are linked by an operator in between. Mathematical operations include addition, subtraction, multiplication, and division. For instance, x + y is an equation in which the words x and y are separated by an addition operator. In mathematics, there are two types of expressions: numerical expressions, which include only numbers, and algebraic expressions, which contain both numbers and variables.

e.g. A number is 6 more than half of another number, x. This proposition can be stated mathematically as x/2 + 6. Mathematical expressions are used to answer complex problems.

Now,

According to given conditions

Let non-fiction books=n

then fiction books are=3/8n

given that n+3/8n=44

11n/8=44

n=32

then 3/8n=12

hence,

        Fiction books will be 12.

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Right Question:-

   In the library at Lenape Elementary School, there are 3/8 as many fiction books as there are nonfiction books. There are 44 books in the school library. How many books are fiction books?

Answer:

f(x)=X^2+4

f(x)=42

42=X^2+4

X^2+4=42

X^2=42-4

X^2=38

X=sqrt(38)=6.16

\( \sqrt{?} \)

Answer:

  2π yards

Step-by-step explanation:

You want the circumference of a circle with a radius of 1 yard.

When the radius is given, the formula for circumference is ...

  C = 2πr . . . . . circumference for radius r

When the diameter is given, the formula for circumference is ...

  C = πd . . . . . circumference for diameter d

For a radius of 1 yard, the circumference is ...

  C = 2π(1 yard) = 2π yards

The circle's circumference is 2π yards.

__

Additional comment

The diameter is twice the radius, so ...

  d = 2r

That is, the diameter of the given circle is 2 yards. Using the second formula, we get ...

  C = π(2 yards) = 2π yards

Rearranging the second formula, we can get the equation ...

  π = C/d

That is, π (pi) is the ratio of the circumference to the diameter.

The vector u can be expressed as a sum of n and p when n= (-33/10, 11/10) and p= (-7/10, -21/10).

To find the vector p that is parallel to v, we need to project u onto v. We can use the formula for projection:

p = (u . v) / (||v||^2) * v

where . represents dot product and ||v|| represents the magnitude of v.

First, we need to find the dot product of u and v:

(-4,-1) . (1,3) = -4*1 + -1*3 = -4 + -3 = -7

Next, we need to find the magnitude of v:

||v|| = sqrt(1^2 + 3^2) = sqrt(1 + 9) = sqrt(10)

Then, we can plug these values into the projection formula:

p = (-7) / (sqrt(10))^2 * (1,3) = (-7/10) * (1,3) = (-7/10, -21/10)

So the vector p that is parallel to v is (-7/10, -21/10)

To find the vector n that is orthogonal to v, we can subtract p from u:

n = u - p = (-4,-1) - (-7/10, -21/10) = (-4 + 7/10, -1 + 21/10) = (-33/10, 11/10)

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Only matrices of the same size can be added or subtracted.

A matrix is a rectangular array of numbers and is composed of rows and columns. In order to add or subtract matrices, the matrices must have the same number of rows and columns. If the matrices do not have the same size, they cannot be added or subtracted.

For example, if one matrix is a 2x3 matrix, the other matrix must also be a 2x3 matrix. Similarly, if one matrix is a 3x2 matrix, the other matrix must also be a 3x2 matrix. The numbers in each matrix may vary, but the size of the matrices must be the same for the operation to be valid.

When adding or subtracting matrices, the numbers in the same position (row and column) are added or subtracted. For example, if one matrix is [[1,2,3], [4,5,6], [7,8,9]] and the other matrix is [[2,4,6], [8,10,12], [14,16,18]], the resulting matrix would be [[3,6,9], [12,15,18], [21,24,27]].

Adding and subtracting matrices is a useful tool in mathematics and is often used to solve equations and simplify complex problems. It is important to remember that only matrices of the same size can be added or subtracted.

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Answer:

area is 12

Step-by-step explanation:

Answer: 12 mm

Step-by-step explanation:

The sum of a rational number and an irrational number is always irrational because it results in a non-terminating decimal.

The sum of a terminating decimal with a non-terminating decimal always results in a non terminating decimal, that is, the sum of a rational number with an irrational number is always irrational.

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The sum of a rational number and an irrational number always results in an irrational number because the rational number assumption yields a contradiction.

Upon summing the two type of numbers, rational and irrational number, assuming the result upon rearrangement to be a rational number implies a contradiction.

Hence, the basic premise for the conclusion that the sum of a rational and an irrational number yields an irrational number is because, the other way round implies a contradiction.

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Step-by-step explanation:

to solve simultaneously

subtract the 1st equation from the 2nd.

5x + 2y = 12

3x + 2y = 8

5x - 3x + 2y - 2y = 12 - 8

2x = 4

x = 4 / 2

x = 2.

Answer:

2.125

Step-by-step explanation:

Answer:

2+2+2=6

4+52-32+2=26

finally add 26+6=32

Given :

During a particular week, she gave $10 to her friend Taylor, spent half of the remaining money on a new shirt, and then spent $7.50 on a pizza. At this point, she had $37.50.

To Find :

How much is Reana's weekly allowance.

Solution :

Let, allowance is x.

Then by given conditions :

37.50 = x - ( 10 + x/2 + 7.50 )

37.50 = x/2 - 17.50

x/2 = 55

x = $110

Therefore, Reana's weekly allowance is $110.

Hence, this is the required solution.

Answer:

Adult=84, student=97

Step-by-step explanation:

Answer:

5-8

Step-by-step explanation:

you just had to move the 8 over

\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)

Answer:

1. y= (-4/11)x + 1/11

2. y= (3/5)x + 66/5

Step-by-step explanation:

Answer:

5x + 4y = - 8

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 )

Given

4x - 5y = 20 ( subtract 4x from both sides )

- 5y = - 4x + 20 ( divide all terms by - 5 )

y = \(\frac{4}{5}\) x - 4 ← in slope- intercept form

with slope m = \(\frac{4}{5}\)

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{4}{5} }\) = - \(\frac{5}{4}\) , thus

y = - \(\frac{5}{4}\) x + c ← is the partial equation

To find c substitute (- 4, 3) into the partial equation

3 = 5 + c ⇒ c = 3 - 5 = - 2

y = - \(\frac{5}{4}\) x - 2 ← in slope- intercept form

Multiply through by 4

4y = - 5x - 8 ( add 5x to both sides )

5x + 4y = - 8 ← equation in standard form

Answer:

Yes

Explanation:

All squares have right angles.

`(f ◦ g)(x) = 20x^2 - 14x + 2` (A)

We are given a composite function f(g(x)) and we need to substitute the value of g(x) in f(x) to simplify the expression.

The composite function is defined as follows: f(g(x)) = 5(g(x))^2 + 3(g(x)) - 2. Substituting the value of g(x) into f(x): f(g(x)) = 5(2x - 1)^2 + 3(2x - 1) - 2. To simplify the expression, we'll expand and combine like terms: f(g(x)) = 5(4x^2 - 4x + 1) + 6x - 3 - 2 Simplifying further: f(g(x)) = 20x^2 - 20x + 5 + 6x - 3 - 2. Combining like terms: f(g(x)) = 20x^2 - 14x + 2. Therefore, we have simplified the composite function to: (f ◦ g)(x) = 20x^2 - 14x + 2. Hence, the correct option is (f ◦ g)(x) = 20x^2 - 14x + 2. This indicates that the composite function (f ◦ g) is equal to 20x^2 - 14x + 2. Therefore, Option A is the correct answer.

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Based on the text, the primary source of primate endangerment today is habitat destruction.

Habitat destruction is considered the primary source of primate endangerment based on various factors mentioned in the text. Primates, like many other species, heavily rely on their natural habitats for survival, including food, shelter, and breeding. However, human activities such as deforestation, urbanization, and land conversion for agriculture or infrastructure development have significantly reduced and fragmented primate habitats.

Habitat destruction leads to the loss of critical resources and disrupts the ecological balance necessary for primate populations to thrive. As their habitats shrink, primates face increased competition for limited resources, reduced access to food and water sources, and decreased opportunities for successful reproduction and rearing of offspring. This loss of habitat also exposes primates to increased vulnerability to predation, disease transmission, and human-wildlife conflicts.

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A. The average number of claims filed on a working day is 94.5538.

B. The probability that exactly 100 claims were filed on a working day is 0.0361.

C. The probability that no more than 100 claims were filed on a working day is 0.9583.

A. The average number of claims filed on a working day can be calculated by dividing the total number of claims by the number of working days. In this case, the average would be 24,584 / 260 = 94.55384615.

Therefore, the average number of claims filed on a working day is 94.5538.

B. The probability of exactly 100 claims being filed on a working day can be calculated using the Poisson distribution formula:
P(X = x) = (λˣ)(e^-λ) / x!
Where λ is the mean (or average) number of claims filed on a working day, x is the number of claims we are interested in (100), and e is the base of the natural logarithm (approximately 2.71828).

Plugging in the values, we get:
P(X = 100) = (94.55384615¹⁰⁰)(e^-94.55384615) / 100! = 0.0361

Therefore, the probability of exactly 100 claims being filed on a working day is 0.0361.

C. The probability of no more than 100 claims being filed on a working day can be calculated by summing the probabilities of 0 to 100 claims being filed. This can be done using the Poisson distribution formula:

P(X ≤ 100) = Σ P(X = x) for x = 0 to 100
= P(X = 0) + P(X = 1) + ... + P(X = 100)
= (94.5546^0)(e^-94.5546) / 0! + (94.5546^1)(e^-94.5546) / 1! + ... + (94.5546^100)(e^-94.5546) / 100!
= 0.9583

Therefore, the probability of no more than 100 claims being filed on a working day is 0.9583.

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Answer:A

Step-by-step explanation: