A system of equations is shown.

​

​ \left\{\begin{array}{l}\ \ \ \ \ \ \ \ \ x=10\\3x+5y=20\end{array}\right.{
x=10
3x+5y=20
​




​What is the solution \left(x,y\right)(x,y) of the system of equations?

​

​Enter your answer in the box.​

Answer:

953752765585

Step-by-step explanation:

Hope this helps.

Answer:

953752765585

Step-by-step explanation:

JUST MULTIPLY

To evaluate the iterated integral ∫[2, -2] ∫[0, √(4 - x^2)] sin(x^2 + y^2) dy dx using polar coordinates, we make the following substitutions:

x = r cosθ

y = r sinθ

The limits of integration for x and y need to be expressed in terms of r and θ.

For the limits of x:

When y = 0, we have x = √(4 - x^2) and solving for x, we get x = 2.

When y = √(4 - x^2), we have x = 0.

So, the limits for x in polar coordinates are θ = 0 to θ = π.

For the limits of y:

The region of integration lies within the circle of radius 2 centered at the origin. So, the limits for y in polar coordinates are r = 0 to r = 2.

Now, we need to express the differential element dy dx in terms of polar coordinates.

dy dx = |Jacobian| dr dθ

where |Jacobian| is the determinant of the Jacobian matrix.

The Jacobian matrix is given by:

[∂y/∂r ∂y/∂θ]

[∂x/∂r ∂x/∂θ]

Calculating the partial derivatives:

∂y/∂r = sinθ

∂y/∂θ = r cosθ

∂x/∂r = cosθ

∂x/∂θ = -r sinθ

Taking the determinant of the Jacobian matrix, we have:

|Jacobian| = (∂y/∂r)(∂x/∂θ) - (∂y/∂θ)(∂x/∂r) = (sinθ)(-r sinθ) - (r cosθ)(cosθ) = -r

Now, we can rewrite the integral in polar coordinates:

∫[2, -2] ∫[0, √(4 - x^2)] sin(x^2 + y^2) dy dx

= ∫[0, π] ∫[0, 2] r sin(r^2) |Jacobian| dr dθ

= ∫[0, π] ∫[0, 2] -r^2 sin(r^2) dr dθ

Integrating with respect to r first:

∫[-r^2 sin(r^2)] [0, 2] dr = [-cos(r^2)] [0, 2] = -cos(4) + 1

Now, we can integrate the result with respect to θ:

∫[-cos(4) + 1] [0, π] dθ = [θ - cos(4)θ] [0, π] = π - πcos(4)

Therefore, the value of the iterated integral ∫[2, -2] ∫[0, √(4 - x^2)] sin(x^2 + y^2) dy dx in polar coordinates is π - πcos(4).

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Answer:

\(f(x)=-x^2-4x+21\)

Step-by-step explanation:

The given equation is :

f left parenthesis x right parenthesis equals negative x squared minus 4 x plus 21.

We need to rewrite this equation in faceted format.

The general form of a quadratic equation is given by :

\(f(x)=ax^2+bx+c\)

We have,

a = -1, b = -4 and c = 21

Substitute all the values,

\(f(x)=-x^2-4x+21\)

So, the required equation is equal to \(f(x)=-x^2-4x+21\).

Answer: If 3.75 is 20% of the bill then $300 is the bill

The number of cows needed to satisfy the beef appetite would be 5263

With an average yield of 570 pounds (258.1 Kg.) of prepared beef per cow, we need to determine how many people can be fed from this amount. The number of people fed per cow can vary depending on various factors such as portion sizes and individual dietary preferences. Assuming a reasonable estimate, let's consider that one pound (0.45 Kg.) of prepared beef can feed about three people.

To find the number of cows needed to satisfy the beef appetite for New York City's population of approximately 9,000,000 people, we divide the population by the number of people fed by one cow. Thus, the calculation becomes 9,000,000 / (570 pounds x 3 people/pound).

After simplifying the equation, we get 9,000,000 / 1710 people, which equals approximately 5,263 cows. However, it's important to note that this is a rough estimate and does not consider factors such as variations in consumption patterns, distribution logistics, or other sources of meat supply. Additionally, individual dietary choices and preferences may result in different consumption rates. Therefore, this estimate serves as a general indication of the number of cows needed to satisfy the beef appetite for New York City's population.

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The real part of the complex number is -5 and the imaginary part is -7i

From the question, we have the following parameters that can be used in our computation:

Complex number = -7i - 5

For a complex number represented as

a + bi

We have

Real = a

Imaginary = bi

using the above as a guide, we have the following:

Real = -5

Imaginary = -7i

Hence, the real part is -5 and the imaginary part is -7i

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Area= 1/2 (a+b)h

1/2(1in. +3in.)1in.

1/2(4in.)1in.

2in.× 1in.

2in. Therefore the area is 2in.

The amount of antifreeze that a radiator can hold depends on the size of the radiator.

Radiators come in different sizes and capacities, and the amount of antifreeze that a radiator can hold can range from less than a gallon to several gallons. In order to determine the exact amount of antifreeze that a particular radiator can hold, you would need to consult the manufacturer's specifications for that radiator or take the radiator to a mechanic who can assess its capacity. Additionally, the amount of antifreeze required may also depend on the make and model of the vehicle that the radiator is installed in.

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The matrix M is: M = [2/9 -8/27 , 4/9 -8/27 ]

Let's say that M is a 2 x 2 matrix that satisfies M × [3 -2 , 6 -8 ] = [-2 16]. This means that the product of matrix M and matrix [3 -2 , 6 -8 ] will give us the result matrix [-2 16].  We know that the product of two matrices is equal to the sum of the products of their corresponding elements.  We can use this knowledge to solve for the unknown elements in matrix M. Let us assume that M = [a b , c d] so that we can solve for its elements.

a(3) + b(6) = -2 ... (1) c(3) + d(6) = 16 ... (2) a(-2) + b(-8) = -2 ... (3) c(-2) + d(-8) = 16 ...

(4)Simplifying equations (1) to (4),  we get:

3a + 6b = -2 ... (5) 3c + 6d = 16 ... (6) -2a - 8b = -2 ... (7) -2c - 8d = 16 ... (8)

Solving for a, b, c, and d, we get:a = 2/9 b = -8/27 c = 4/9 d = -8/27.

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Step-by-step explanation:

2-6i-2i=18

-8i=16

i=-2

i is the variable here so you need to isolate it.

We see a number multiplied to a ( ) so let's use the distributive property first!

2*1-2*3i-2i=18

Now combine liked terms

2-8i=18

We should subtract 2 from both sides of the equation to isolate the term containing i

2-8i-2=18-2

-8i=16

Now we divide -8 from both sides to isolate i completely by itself.

-8i/-8=16/-8

i=-2

Now check our work!

2(1-3*-2)-2*-2=?=18

2(1+6)+4=?=18

14+4=18

Therefore i=-2 is correct!

Recall the following information:

1) In a plane, two lines that are parallel exist on the same axis.

2) Hence, any line which is perpendicular to one of two parallel lines is also perpendicular to the other.

3) This concept is evident in the model of ladders, where each of the vertical lines is perpendicular to the parallel step lines(horizontal lines).

With this information, it can be said that if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.

T

Answer:

239 miles per gallon for a round trip.

Step-by-step explanation:

you'd need to achieve 238,900 / 2000 = 119.5 miles per gallon for a one way trip,

Answer:

infinite

Step-by-step explanation:

the law in most states in the usa states there must be 3 letters and 3 numbers so there could be infinite

                            -hope this helps-

Answer:

(1,5)

Step-by-step explanation:

\(4x + 1 = 2x + 3 \\ 2x = 2 \\ x = 1 \\ y = 5\)

Answer:

6.5

Step-by-step explanation:

Cos = Adjacent/Hypotenuse

For the angle with the measure of 70°

Adjacent = x

Hypotenuse =  19

Hence, cos 70 = x/19

multiply both sides by 19

cos(70) * 19 = 19cos(70)

x/19 * 19 = x

we're left with x = 19cos(70)

19cos(70) = 6.5 ( rounded to the nearest tenth )

x = 6.5

I hope this is help full to u

thank you

To show that the given equations represent trigonometric identity statements, we will simplify each equation and demonstrate that both sides of the equation are equal.

Starting with sec²θ(1 - cos²θ):

Using the Pythagorean identity sin²θ + cos²θ = 1, we can rewrite sec²θ as 1 + tan²θ. Substituting this into the equation, we get:

(1 + tan²θ)(1 - cos²θ)

= 1 - cos²θ + tan²θ - cos²θtan²θ

= 1 - cos²θ(1 - tan²θ)

= sin²θ

Thus, the equation simplifies to sin²θ, which is a trigonometric identity.

For cosx(secx - cosx) = sin²x:

Using the reciprocal identities secx = 1/cosx and tanx = sinx/cosx, we can rewrite the equation as:

cosx(1/cosx - cosx)

= cosx/cosx - cos²x

= 1 - cos²x

= sin²x

Hence, the equation simplifies to sin²x, which is a trigonometric identity.

Considering cosθ + sinθtanθ = secθ:

Dividing both sides of the equation by cosθ, we obtain:

1 + sinθ/cosθ = 1/cosθ

Using the identity tanθ = sinθ/cosθ, the equation becomes:

1 + tanθ = secθ

This is a well-known trigonometric identity, where the left side is equal to the reciprocal of the right side.

Simplifying (1 - cos∝)(cosec∝ + cot∝):

Expanding the expression, we have:

cosec∝ - cos∝cosec∝ + cot∝ - cos∝cot∝

= cot∝ - cos∝cot∝ + cosec∝ - cos∝cosec∝

= cot∝(1 - cos∝) + cosec∝(1 - cos∝)

= cot∝tan∝ + cosec∝sec∝

= 1 + 1

= 2

Thus, the equation simplifies to 2, which is a constant value.

In summary, we have analytically shown that the given equations represent trigonometric identity statements by simplifying each equation and demonstrating that both sides are equal.

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Answer:

Area of field = 10 cm²

Step-by-step explanation:

Given field is a trapezium;

Parallel sides of given field are; 1¹/₂ cm and 3¹/₂ cm

Height of trapezium = 4 cm

Find:

Area of field

Computation:

Area of field = Area of trapezium

Area of trapezium = [Sum of Parallel sides / 2][h]

Area of field = [(1¹/₂ + 3¹/₂) / 2][4]

Area of field = [(5) / 2][4]

Area of field = [2.5][4]

Area of field = 10 cm²

Answer:

- 1

Step-by-step explanation:

5 - 2(12-3)/2+1 = - 18/3 + 5

= - 18/3 + 15/3

= - 3/3

= - 1

Answer:

of course it would be 45

Step-by-step explanation:

it right trusss

Step-by-step explanation:

to find his total expenses, add all fraction spent

3/8 + 1/3 + 1/6

= 9+8+ 4/24

= 21/24. = 7/8

total fraction =1

subtract the fraction spent form the total fraction to know the fraction left for savings

1-7/8= 1/8

therefore if. 1 = 2,400

then 1/8=?

if less more divides

1/8 ÷ 1 ×2,400

1/8 × 1/1×2,400

1/8 × 2,400

=300.

therefore the man saved 300 rupees

Answer: 1.joey 2. jacob 3.jhon 4. jack

Step-by-step explanation:

Answer:

Joey, Jacob, Johnathan, Jack

Step-by-step explanation:

Joey has three brothers = 4 total

Jacob is older Jonathan but younger than Joey. Jack is younger than Jonathan.

Answer:

3 cm.

Step-by-step explanation:

Let's use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.In this case, we have:P = 16 cm (given)

l = k cm (given)

w = 5 cm (given)Substituting these values into the formula, we get:

16 cm = 2(k cm) + 2(5 cm)

Simplifying, we get:

16 cm = 2k cm + 10 cm

Subtracting 10 cm from both sides, we get:6 cm = 2k cm

Dividing both sides by 2, we get:

3 cm = k

Therefore, the value of k is 3 cm.

Answer:

81pi

Step-by-step explanation:

You are asking yourself the area of pi*r^2 could with r as 9. pi*9^2. solve and you get 81pi :D

To solve this problem, we need to find the x-values where the curve intersects the x-axis, which occurs when y=0.
0=x²-2kx ,We can factor out an x: 0=x(x-2k) .So the x-intercepts are at x=0 and x=2k.

To find the value of k, we need to follow these steps:

Step 1: Find the points of intersection between the curve y = x^2 - 2kx and the x-axis.
To do this, set y = 0:
0 = x^2 - 2kx
x(x - 2k) = 0

This means that the curve intersects the x-axis at x = 0 and x = 2k.

Step 2: Determine the limits of integration.
Since we are looking for the region in the fourth quadrant, we will have limits 0 and 2k for our integration.

Step 3: Calculate the area using integration.
Area = ∫[0 to 2k] (x^2 - 2kx) dx

Step 4: Solve the integral.
Area = [1/3x^3 - kx^2] evaluated from 0 to 2k
Area = (1/3(2k)^3 - k(2k)^2) - (1/3(0)^3 - k(0)^2)
Area = (8k^3/3 - 4k^3)

Step 5: Set the area equal to 36 and solve for k.
36 = 8k^3/3 - 4k^3
36 = (8k^3 - 12k^3)/3
36 = -4k^3/3

Now, multiply both sides by 3 and divide by -4:
-108/-4 = k^3
27 = k^3

Take the cube root of both sides:
k = 3

The value of k is 3 (Option b).

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Answer:

No la entendi, puedes ser mas explicito en tu pregunta? gracias

There is no repeated-measures t statistic for this two-tailed test using the given scores.

The repeated-measures t statistic for a two-tailed test can be calculated using the following formula:

t = (mean difference - hypothesized mean difference) / (standard deviation of the mean difference / square root of sample size)

To calculate the mean difference, subtract the first set of scores (i) from the second set of scores (ii) for each pair:
(3 - 7) = -4
(2 - 6) = -4
(8 - 6) = 2
(7 - 5) = 2

The mean difference is the sum of these differences divided by the sample size:
(-4 + -4 + 2 + 2) / 4 = -4 / 4 = -1

To calculate the standard deviation of the mean difference, first calculate the squared differences between the mean difference and each individual mean difference:
(-1 - (-1))^2 = 0
(-1 - (-1))^2 = 0
(-1 - (-1))^2 = 0
(-1 - (-1))^2 = 0

Then, calculate the sum of these squared differences and divide by the sample size minus 1:
(0 + 0 + 0 + 0) / (4 - 1) = 0 / 3 = 0

Finally, calculate the square root of the result:
sqrt(0) = 0

Now, substitute these values into the formula:
t = (-1 - 0) / (0 / sqrt(4)) = -1 / (0 / 2) = -1 / 0 = undefined

Since the standard deviation of the mean difference is 0, the denominator becomes 0 and the t statistic is undefined.

Therefore, there is no repeated-measures t statistic for this two-tailed test using the given scores.

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The formula to find the distance between a point and a line is

Graphically

So, in this case, you have

Then

The absolute value is the distance between a number and zero. The distance between -10 and 0 is 10.

Therefore, the distance between the point of the line is 10 units.

Answer:

21a. A = J - 13

      J = 29

21b. A = Greenville to Artaville

       J = Greenville to Jonesborough

Step-by-step explanation:

Answer:

11v-w= -20t

Step-by-step explanation:

combine like terms

20t+11v=w

isolate variable

11v=w-20t

11v-w= -20t