find the indicated partial derivative. f(x, y) = y sin−1(xy); fy 2, 1 4

Construyendo y resolviendo una ecuación, tenemos que el valor de n a la segunda potencia es dado por 6561.

La ecuación de "n a la segunda potência" es dada por n elevado al quadrado, o sea:

\(E(n) = n^2\)

En este problema, n vale 81, o sea, \(n = 81\), entonces tenemos que calcular 81 elevado al cuadrado:

\(E(81) = 81^2 = 6561\)

Así, de este resultado, hay que el valor de n a la segunda potencia es dado por 6561.

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Answer:

y = 1.5

Step-by-step explanation:

Given y is inversely proportional to \(\sqrt{1+x}\) , then the equation relating them is

y = \(\frac{k}{\sqrt{1+x} }\) ← k is the constant of variation

To find k use the condition when x = 8, y = 2 , then

2 = \(\frac{k}{\sqrt{1+8} }\) = \(\frac{k}{\sqrt{9} }\) = \(\frac{k}{3}\) ( multiply both sides by 3 )

6 = k

y = \(\frac{6}{\sqrt{1+x} }\) ← equation of variation

When x = 15, then

y = \(\frac{6}{\sqrt{1+15} }\) = \(\frac{6}{\sqrt{16} }\) = \(\frac{6}{4}\) = 1.5

Answer:

m=0

Step-by-step explanation:

the formula given for slope (m) calculated from two points is given as (y2-y1)/(x2-x1)

we are given the points (10,3) and (2,3)

label the values of the points to use for the formula:

x1=10

y1=3

x2=2

y2=3

plug into the formula

m=(3-3)/(2-10)

subtract

m=0/-8

divide

m=0

therefore, the slope is 0

Hope this helps! :D

0/-8

i’m not very good at explaining but that is the answer ^^

Answer:

1/5

(quick question: does 'of' mean multiply, cause we don't say of in math)

Step-by-step explanation:

The expression that can be added to both sides of the given quadratic equation to change it to a perfect square trinomial is \(\frac{b^2}{4a^2}\) .

The standard form of perfect square trinomial is given as:

\(ax^2 + bx + c\)

here,

a = coefficient of x² .

b = coefficient of x.

c = constant .

Given the quadratic equation:

\(x^2 + \dfrac{b}{a}x\ +\ ?= -\dfrac{c}{a}\ +\ ?\)

The above equation is needed to be changed to a perfect square trinomial.

To change the quadratic equation into the perfect square, the squared of half the value of the coefficient of degree one variable can be added to both sides of the equation.

Therefore, the term to be that is needed to be added to the given quadratic equation is \(\frac{b^2}{4a^2}\) .

Now, the quadratic equation can be written as:

\(x^{2} + \frac{b}{a} x + \frac{ b^{2}}{4a^{2}} = \frac{-c}{a} + \frac{ b^{2}}{4a^{2}}\)

Therefore, \(\dfrac{b^2}{4a^2}\) should be added to both sides to convert it into the perfect polynomial.

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The given question is incomplete. Probably the complete question is:

When deriving the quadratic formula by completing the square what expression can be added to both sides of the given equation to create a perfect square trinomial?

\(x^2 + \dfrac{b}{a}x\ +\ ?= -\dfrac{c}{a}\ +\ ?\)

In ΔOPQ, o = 10 cm, p = 67 cm, ∠Q=24,∠P=152.

A triangle in geometry is a three-sided polygon with three edges and three vertices.

The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic.

This characteristic is known as the triangle's angle sum property.

If ABC is a triangle, it is written as ABC, where A, B, and C represent the triangle's vertices.

In Euclidean geometry, a triangle is a two-dimensional shape that is represented by three non-collinear points in a single plane.

A closed, two-dimensional shape is a triangle. It is a polygon with three sides. Straight lines make up all of the sides.

The vertex is the intersection of two straight lines. The triangle therefore has three vertices.

Hence, In ΔOPQ, o = 10 cm, p = 67 cm, ∠Q=24,∠P=152.

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Answer: \(x=5\)

Step-by-step explanation:

Because the \(x\) coordinate of both of the points is 5, the equation is \(x=5\).

we can predict that the population of the city in 2020 will be approximately 2931 (rounded to the nearest whole number).

What is percentage ?

A percentage is a way of expressing a number as a fraction of 100. The symbol for percentage is "%". For example, 50% means 50 out of 100 or 0.5 as a decimal.

Percentages are commonly used to represent proportions, rates, and changes in quantities. They can be used to compare quantities of different sizes, or to express how much one quantity has changed relative to another quantity.

According to the question:
To predict the population of the city in 2020, we can use the formula:

P = P₀(1 + r)ᵗ

where:

P₀ = the initial population (in 2000) = 2000

r = the annual growth rate as a decimal = 0.02

t = the number of years since the initial population = 20 (since we want to predict the population in 2020, which is 20 years after 2000)

Substituting these values into the formula, we get:

P = 2000(1 + 0.02)²⁰

Using a calculator, we can simplify this to:

P ≈ 2930.63

Therefore, we can predict that the population of the city in 2020 will be approximately 2931 (rounded to the nearest whole number).

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Answer:

oh lord may we put our head down and pray this manz aces his test or whatever it is amen.

On this problem we have two triangles FLW and YLW. We know that the sides FL and LY are congruent and the side LW is shared between the two triangles. Therefore we know that two sides are congruent, we don't know however if the angles F and Y are congruents, there is no indication of that, so we can't prove that it is congruent, because we need to know if the angles are congruents.

Answer:

Step-by-step explanation:

1)  the equation would be:

(2x+4)x(5x+1) because if the amount of ballpens are (2x+4) and the ballpens are $(5x+1) each, you would multiply them.

this is the expanded version of (2x+4)(5x+1)
{10x^2 + 2x + 20x + 4

10x^2 + 22x + 4}

2) (x^2 +1)(x+2) are multiplied to find the volume of the box

So when expanded it looks like this:

{x^3 + 2x^2 + x + 2}

3) (15a^2b^3) would be multiplied with (2a). This is because to find the total you would times the numbers.
so when expanded:

(15a^2b^3)(2a)

{(15a^3)(2ab^3)}

4) 5X(x+8)=33

5x+40=33

5x=33-40

5x=-7

X= -7/5

5) x-8=8x

8x-x = -8

7x=-8

X=-8/7

Hope this helps :)

Answer:110x^2+7x-8

Step-by-step explanation:

7x- 8+2x5x11

7x-8+110x^2

reoder the terms

110x^2+7x-8

The evaluated lateral surface area is 261.8 square meters, under the condition that the base length is 20 m and height is 13 m.

The lateral surface area of a cylinder is given by the formula 2πrh
Here,
r = radius of the base
h = height of the cylinder.
For the given case, the base length is 20 m and height is 13 m. Then the base length is stated  instead of the radius, we have  to evaluate the radius first.
The radius of a cylinder can be found applying the formula r = l/2π
Here,
l = base length.
So, staging l = 20 m
, we get
r = 20/(2π)
≈ 3.18 m
Now that we have received the radius and height, we can evaluate the lateral surface area applying the formula mentioned above.
Staging
r = 3.18 m
h = 13 m,
we get:
Lateral surface area
= 2πrh
≈ 261.8 m²
Then, the lateral surface area of the given cylinder is approximately 261.8 square meters.
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Answer:

\(15x + 20x \geqslant 600\)

Step-by-step explanation:

The amount of money he earns needs to be greater than or equal to 600.

Answer:

(Look at comments)

Answer:

jnkj

Step-by-step explanation:

It will take to complete the entire order of sneakers in 8 days.

To find out how long it will take to complete the entire order of sneakers, you need to multiply the time it takes to complete 1/10 of the order by the total number of orders. Since there are 10 orders in the entire order of sneakers, it will take 10 times as long to complete the entire order as it does to complete 1/10 of the order.

Since it takes 4/5 of a day to complete 1/10 of the order, it will take 4/5 * 10 = 8 days to complete the entire order. Therefore, the answer is 8 days.

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At given rate, it will take 8 days to complete the entire order of sneakers

In this questiion we have been given at Sami's Shoe Warehouse, it takes 4/5 day to complete 1/10 of an order of sneakers.

We need to find the number of days it will take to complete the entire order of sneakers, at this rate.

It takes 4/5 day to complete 1/10 of an order of sneakers.

If we multiply a fraction by 10 then it would be 10/10

This means, 10/10 represents the complete order of sneakers.

4/5 days are required to complete 1 of 10 order of sneakers.

For 10 of 10 order of sneakers:

By unitary method,

10 × 4/5

= 2 × 4

= 8 days

So, it will take 8 days to complete the order.

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1. Correct option D. y= 4/5x-9/5

2. option C. (4, 0) is a solution.

3. option B, is the correct answer.

4. option B. (11, 1), is a solution.

5. option A, "(1,7) and (7,1)" is a correct answer.

A statement proving the equality of two mathematical expressions is known as an equation.

1. Solve the equation for y:  4x - 5y = 9  

⇒ 5y = 4x - 9

⇒ y = 4/5 x - 9/5  (correct option D)

2. Solution of this equation:  7a - 5b = 28

from the given options we simply substitute the values of a and b into the equation and check if the equation holds true.

option C. (4, 0);

Substituting a=4 and b=0 into the equation 7a-5b=28, we get:

7(4) - 5(0) = 28, which is equal to 28. So (4, 0) is a solution.

3. we simply substitute the values of x and y into the equation and check if the equation holds true.

Substituting x=2 and y=-9 into the equation 5x-y/3=13, we get:

5(2) - (-9)/3 = 10 + 3 = 13, which is equal to 13. So (2,-9) is a solution.

Substituting x=3 and y=-6 into the equation 5x-y/3=13, we get:

5(3) - (-6)/3 = 15 + 2 = 17, which is not equal to 13. So (3,-6) is not a solution.

Therefore, option B, "The first is a solution, but the second is not" is the correct answer.

4. we simply substitute the values of x and y into the equation and check if the equation holds true.

option B. (11, 1), Substituting x=11 and y=1 into the equation (x+3)y=14, we get: (11+3)(1) = 14(1) = 14, which is equal to 14. So (11,1) is a solution.

5. we substitute each pair into the equation and check if it holds true.

option A. (1,7) and (7,1); Substituting x=1 and y=7 into the equation 4xy+8=36, we get: 4(1)(7) + 8 = 28 + 8 = 36, which is equal to 36. So (1,7) is a solution.

Substituting x=7 and y=1 into the equation 4xy+8=36, we get:

4(7)(1) + 8 = 28 + 8 = 36, which is equal to 36. So (7,1) is also a solution.

Therefore, option A, "(1,7) and (7,1)" is a correct answer.

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The answers of the given equations are

1. option D

2.option C

3. option B

4.option B

5.option A.

What is equation?

Equation is basically a mathematical statement where two expressions are connected by a equal sign. It contains atleast one variable that has be determined.

1) Given equation is 4x- 5y= 9

To solve this equation at first we subtract 4x from both sides

                         -5y= 9-4x

Multiplying by '-' sign to the both sides of the equation we get,

                         5y= 4x-9

Dividing by 5 on the both sides of equation we get,

                      y= (4/5)x - (9/5)

Hence option D is correct.

2) Given equation is 7a-5b = 28----------(1)

putting a=4 and b=0  in equation (1) we get,

                  7× 4- 5×0=28

Hence the ordered pair ( 4,0) is the solution of the equation as the value of a and b satisfies the right side of equation (1). option C.

3) Given equation is 5x- y/3= 13-----------(2)

Putting (2,-9) in equation (2) we get,

  10+3=13 which is the RHS of equation (2)

Putting (3,-6) in equation (2) we get,

  15+2=17 which is not the RHS of equation (2)

So the first is a solution of the equation but the second is not.

Option B.

4) Given equation is (x+3)y=14---------(3)

Putting the values (11,1) in equation (3) we get,

(11+3)×1= 14 which is the RHS of the equation (3).

So the ordered pair is (11,1).

Option B.

5) Given equation is 4xy+8=36

It can be deduced to,

                      4xy+8=36

                       4xy= 36-8

                        4xy= 28

                           x y= 7-------(4)

Putting (1,7) and (7,1) in equation (4) we get,

                      1×7=7×1=7 which is the RHS of equation (4)

So the pair is (1,7) and (7,1). Option A.

Hence, the answers are

1. option D

2.option C

3. option B

4.option B

5.option A.

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George's dog is approximately 32.41 meters away from its crate, if it ran 22 meters, turned and ran 11 meters, and then turned 120° to face its crate.

To determine the distance from George's dog to its crate after the described movements, we can use the concept of a triangle and trigonometry.

The dog initially runs 22 meters, then turns and runs 11 meters, forming the two sides of a triangle. The third side of the triangle represents the distance from the dog's final position to the crate.

To find this distance, we can use the Law of Cosines, which states that in a triangle with sides a, b, and c and angle C opposite side c, the equation is c² = a² + b² - 2abcos(C).

In this case, a = 22 meters, b = 11 meters, and C = 120°. Plugging these values into the equation, we have

c² = 22² + 11² - 2(22)(11)cos(120°).

Evaluating the expression, we get

c ≈ 32.41 meters.

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6 socks must be removed from the drawer to guarantee that at least two socks of same color have been removed.

Given,

It makes no difference how many socks there are; what matters is how many different colours of socks there are, as there are five different colours.

So, if 6 socks are taken from the drawer, it is almost certain that at least two of them will be the same colour.

Because, after taking 5 socks, you will either have a match or a difference. To ensure a matching pair, add one more sock.

You have a pair if the first five are the same colour. If none of the first five socks match, the sixth sock will match one of the first five.

So with 6 socks, you are guaranteed that at least 2 of them will be the same color.

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3. 300

4. $180

5. $23.75

6. $102.6

Answer: 1 is 300 2 is 180 3 is 23.75 and the fourth one is 102.6

Step-by-step explanation: dont forget to add your $ signsss

Answer:

True.

Step-by-step explanation:

Explanation in image.

The sum of two rational numbers is rational because the sum of any two fractions with rational numerators and denominators can be expressed as a fraction with a rational numerator and denominator.

A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. For example, 1/2, -3/4, 6/5, and 0 are all rational numbers.

When we add two rational numbers together, we can use the following formula:

a/b + c/d = (ad + bc) / bd

where a, b, c, and d are integers and b and d are not equal to zero.

This formula tells us that the sum of two rational numbers is also a rational number. The numerator of the sum is found by cross-multiplying the fractions, and the denominator of the sum is found by multiplying the denominators.

For example, if we want to add 1/2 and 2/3 together, we can use the formula above:

1/2 + 2/3 = (1 x 3 + 2 x 2) / (2 x 3) = 7/6

Therefore, the sum of 1/2 and 2/3 is 7/6, which is also a rational number. This formula can be used to prove that the sum of any two rational numbers is also a rational number.

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A rational number is a number that can be written as \(\dfrac{a}{b}\) where \(a,b\in\mathbb{Z}\) and \(b\not=0\).

If one number is \(\dfrac{a}{b}\) and the other is \(\dfrac{c}{d}\), where \(b,d\not=0\), their sum is \(\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\). Since the set of integers is closed under addition and multiplication, we can write that \(\dfrac{ad+bc}{bd}=\dfrac{e}{f}\) where \(e,f\in\mathbb{Z}\) and \(f\not=0\), thus proving the sum of two rational numbers is a rational number.

The equation 3+7+2=+2 is actually not true, but false.

The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.

In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.

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Answer:

Step-by-step explanation:

If p = t + v and t is 5/2 and p is 0, then

0 = 5/2 + v and

v = -5/2

Rachel's total income is $13320.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Rachel works at 'Best Price Cars' and earns $9 per hour plus 4% commission on every car she sales.

Commission = 9 x 0.04 = $0.36

Commission on 36000 cars = $12960

By working 40 hours he earn = 9 x 40 = $360

Hence, the total income = 360+ 12960 = $13320

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The volume of a cylinder is given by:

In this case the volume is 100 cubic inches and the height is 12 inches; plugging this values in the equation above and solving for r we have:

Therefore the radius is 1.6 inches.

The law of mathematical logic that was used to derive the given conclusion is; Law of Syllogism

The law of syllogism is defined as a type of logical argument using deductive reasoning.

Now, In mathematical logic, the Law of Syllogism states that if the following two statements are true:

(1) If d , then e .

(2) If e , then f .

Then we can derive a third true statement:

(3) If d , then f .

Now, applying that law to our question, we see that;

1) If you have a cat, then it will chase mice.

2) You have a cat.

Then we can derive a third true statement:

3)  Your cat will chase mice.

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Answer:

-9/14

Step-by-step explanation:

Answer:

-9/14

Step-by-step explanation:

do keep change flip

keep -3/8, change the division sign to multiplication, flip 7/12 to 12/7

multiply then simplify and u will get the answer -9/14