find the area between the curves by integrating with respect to x and then with respect to y. x = y2 − 2 and x = 2y

Answer:

20

Step-by-step explanation:

4/4=1

4x5=20

20 1/4ths in 5 wholes

Answer:

20 fourths

Step-by-step explanation:

1 whole has 4 fourths.

5 wholes has 5 x 4 = 20 fourths.

Hope this helps.

Answer:

The square root of 7250 is 85.15

Step-by-step explanation:

\({ \boxed{ \sf{7250}}} \\ ↓ \div 2 \\ { \boxed{ \sf{3625}}} \\ ↓ \div 5 \\ { \boxed{ \sf{725}}} \\ ↓ \div 5 \\ { \boxed{ \sf{145}}} \\ ↓ \div 5 \\ { \boxed{ \sf{29}}}\)

Find square roots of divisors:

\({ \sf{ = \sqrt{2} \times \sqrt{5 \times 5 \times 5} \times \sqrt{29} }} \\ = { \sf{ \sqrt{2} \times \sqrt{125} \times \sqrt{29} }} \\ = { \sf{85.15}}\)

\({ \underline{ \sf{ \blue{christ \:† \: alone }}}}\)

(d) f(1) = 4 f(n) = 4 + d(n-1) , n>0 is the arithmetic formula to find the number of layers in the project

In the above question it is given that

A project is being created by a group of students by arranging layers.

The first layer is having 4 layers and as we move to the next layers, it is getting 2 times of the number of layers in the first layer.

i,.e f(1) = 4

Number of layers in the second layer = 8 layers

f(2) = 4.2 = 8

Now, we need to find the general arithmetic formula to determine the subsequent n number of layers in the project

As the subsequent layers are getting n times of the first layer, so we'll also find the similar arithmetic formula where addition to the first layer with n times of it is happening

So, after checking all the given options we find, (d) as the appropriate option

f(1) = 4

f(n) = 4 + d(n-1) , n>0

We'll find the number of layers in the 3 layers

Here, n = 3

Putting in the formula, we'll find.

f(3) = 4 + d(3-1)

f(3) = 4 + d(2)

where d(2) = 8 (given)

so, f(3) = 4 + 8 = 12

Hence, f(1) = 4 f(n) = 4 + d(n-1) , n>0 is the arithmetic formula to find the number of layers in the project

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By identifying and minimizing these uncertainties, it is possible to improve the accuracy of the data and obtain more reliable results.

Experimental uncertainties refer to the errors or variations that may occur in the process of conducting an experiment. There are several sources of experimental uncertainties that can affect the accuracy of the data, specifically:

1. Instrument uncertainties: These uncertainties arise from the limitations of the instruments used in the experiment. For example, if a measuring device has a limited resolution or if it is not properly calibrated, it can lead to inaccuracies in the measurements.

2. Operator uncertainties: These uncertainties arise from the variations in the way different people conduct the experiment. For example, if different people are measuring the same quantity, they may have different techniques, which can lead to variations in the measurements.

3. Environmental uncertainties: These uncertainties arise from the variations in the environment in which the experiment is conducted. For example, if the temperature or pressure of the environment changes during the experiment, it can affect the measurements.

Each of these sources of experimental uncertainties can affect the accuracy of the data by introducing errors or variations in the measurements. By identifying and minimizing these uncertainties, it is possible to improve the accuracy of the data and obtain more reliable results.

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Answer:

x = 6

Step-by-step explanation:

We are given ABCD, which the problem gives as a parallelogram.

We are also given that the measure of  ∠B is 12x + 3 and the measure of  ∠A is 105°.

Recall that a parallelogram is made up of 2 pairs of parallel sides. This means that CB is parallel to DA and CD is parallel to BA.

Based on the above information, we know that:

m∠B + m∠A = 180°

Substitute what we know into the equation (we can disregard the degree sign).

12x + 3 + 105 = 180

Add the numbers together

12x + 108 = 180

Subtract.

12x = 72

Divide.

x = 6

So, x is equal to 6.

Answer:  Radeon R9 390 graphics card with a Core i5-2300 2.8GHz or FX-6350 processor

Step-by-step explanation:

Answer:

Equiangular and Equilateral

Step-by-step explanation:

I tried

Hello,

That is (+8) and not (+8x) at the end

Correct the error :

\( - 2x + 7x + 8\)

\( = x( - 2 + 7) + 8\)

\( = 5 \times x + 8\)

\( = 5x + 8\)

Answer:

5x + 8

Step-by-step explanation:

- 2x + 7x + 8

the student has added the numerical values of the 3 terms even though they are not all like terms

correction

- 2x + 7x + 8 ← collect like terms

(- 2x + 7x) + 8

= 5x + 8

Answer:

1/2

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Answer:

There is one solution (0, 2)

Step-by-step explanation:

Let us solve the question

∵ y = x + 2 ⇒ (1)

∵ 2y = x + 4 ⇒ (2)

→ Substitute y in equation (2) by equation (1)

∴ 2(x + 2) = x + 4

∵ 2(x) + 2(2) = x + 4

∴ 2x + 4 = x + 4

→ Subtract x from both sides

∵ 2x - x + 4 = x - x + 4

∴ x + 4 = 4

→ Subtract 4 from both sides

∵ x + 4 - 4 = 4 - 4

∴ x = 0

→ Substitute the value of x in equation (1) to find y

∵ y = 0 + 2

∴ y = 2

∴ There is one solution (0, 2)

The equation in vertex form. y=a(x-h)^2+k is y = 0.25(x + 4)^2 - 3.

We are given that;

The points and form y=a(x-h)^2+k

Now,

for the first set of points, we get:

a = -0.5 h = 3 k = 4.5

So the equation of the parabola in vertex form is:

y = -0.5(x - 3)^2 + 4.5

By repeating this process for the other sets of points to find their equations;

y = 0.5(x + 6)^2 + 1

y = -0.75(x - 3)^2 + 6

y = 0.25(x + 4)^2 - 3

Therefore, by equations the answer will be y = 0.25(x + 4)^2 - 3.

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the angle between 0 and 2π that is coterminal with 17π/4 is π/4.

To find the angle between 0 and 2π that is coterminal with 17π/4, we need to find an equivalent angle within that range.

Coterminal angles are angles that have the same initial and terminal sides but differ by a multiple of 2π.

To determine the coterminal angle with 17π/4, we can subtract or add multiples of 2π until we obtain an angle within the range of 0 to 2π.

Starting with 17π/4, we can subtract 4π to bring it within the range:

17π/4 - 4π = π/4

The angle π/4 is between 0 and 2π and is coterminal with 17π/4.

what is equivalent'?

In mathematics, the term "equivalent" is used to describe two things that have the same value, meaning, or effect. When two mathematical expressions, equations, or statements are equivalent, it means that they are interchangeable and represent the same mathematical concept or relationship.

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A large pizza could be $10 and a medium pizza could be $7.

A solution is a specific kind of homogeneous mixture made up of two or more substances that is used in chemistry. A solute is a substance that has been dissolved in a solvent, which is the other substance in the mixture. Chemical polarity effects are involved in the mixing of a solution at a scale that leads to interactions that are unique to solvation. When the solvent makes up a larger portion of the mixture, as is frequently the case, the solution typically has the state of the solvent. The concentration of a solution, which measures how much solute is present in a specific volume of solution or solvent, is one crucial parameter. When water is one of the solvents, the phrase "aqueous solution" is used.

Let x = large pizza, y = med pizza

y = x - 3

2x = 2y + 6

2x = 2(x - 3) + 6

2x = 2x - 6 + 6

0 = 0

There are an infinite number of solutions.

2(10) = 2(7) + 6

20 = 20

Hence, a large pizza could be $10 and a medium pizza could be $7.

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Answer:

40.21 m is the circle's cirumference.

Answer:

20 flapjacks is the answer.

The limits of integration for z are -8 to 8

To simplify the integration process, we can parameterize the surface S. Let's introduce new variables y and z as parameters to represent points on the surface. Since the surface is defined by the equations y² + z² = 64 and x + y = 10, we can express y and z in terms of these parameters.

Let's solve the equation y² + z² = 64 for y:

y = √(64 - z²)

Now, substitute the expression for y into the equation x + y = 10:

x + √(64 - z²) = 10

Solving for x gives us:

x = 10 - √(64 - z²)

So, we have parameterized the surface S as follows:

x = 10 - √(64 - z²)

y = √(64 - z²)

z = z

To calculate the surface integral, we need to determine the surface area element dS. The surface area element is given by the cross product of the partial derivatives of the parameterized surface with respect to the parameters y and z.

Let's calculate the partial derivatives:

∂r/∂y = [-1, 1, 0]

∂r/∂z = [√(64 - z²) / 2z, -z / √(64 - z²), 1]

Now, take the cross product:

dS = ∂r/∂y x ∂r/∂z

= [(-z / √(64 - z²)), (√(64 - z²) / 2z), 1]

Now that we have the parameterization of the surface S and the surface area element dS, we can set up the integral as follows:

∫∫S xz dS

Since the integral is over the surface S, we need to determine the limits of integration for the parameters y and z. Looking at the given equations, we know that z varies from -8 to 8 because of the equation y² + z² = 64. As for y, it varies based on the value of z to satisfy x + y = 10.

Thus, the limits of integration for z are -8 to 8, and for y, it is from -√(64 - z²) to √(64 - z²).

The integral now becomes:

∫∫S xz dS = ∫[-8, 8] ∫[-√(64 - z²), √(64 - z²)] (10 - √(64 - z²))z dA

Here, dA represents the area element in the yz-plane, which is dydz..

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Answer:

The answer is below

Step-by-step explanation:

The perimeter of the rectangle is given as:

Perimeter = x + x + y + y + y = 2x + 3y

2x + 3y = 120

2x = 120 - 3y

Dividing through by 2:

x = 60 - 3y/2

The area of the rectangle is given by:

Area (A) = x * y

A = (60 - 3y/2)(y)

A = 60y - 3y² / 2

But the total area = 600 yd², hence

600 = 60y - 3y²/2

multiply through by 2:

1200 = 120y - 3y²

3y² - 120y + 1200 = 0

3y² - 60y - 60y + 1200 = 0

3y(y - 20) - 60(y - 20) = 0

(3y - 60)(y - 20) = 0

3y - 60 = 0, or y - 20 = 0

3y = 60 or y - 20 = 0

y= 20

x = 60 - 3y/2

x = 60 - 3(20)/2

x = 60 - 30

x = 30

Answer:

Please check the explanation.

Step-by-step explanation:

We know that if we multiply 3 and 4, we get 12.

In other words, 3 × 4 = 12

Thus, 3 and 4 are factors of 12.

now

Given the expression

\((a+b+c)(d+e+f)\)

The given expression consists of two factors which are:

We also know that an expression can consist of terms, a term may be a constant or a variable. It can be both as well.

For example, in the expression, 4b + 2, 4b and 2 are terms.

so,

Managers, goods, services, and technology are all needed in developing countries, and therefore, they provide new markets for companies that can supply these essentials.

Developing countries often have growing economies and increasing consumer demands. As these countries strive for development and improvement, they require effective management to drive their businesses and organizations. Managers play a crucial role in overseeing operations, implementing strategies, and maximizing efficiency.

Additionally, developing countries require goods and services to meet the needs of their populations. This includes basic necessities such as food, clothing, and shelter, as well as other essential products and services like healthcare, education, infrastructure development, and transportation. Companies that can provide these goods and services have an opportunity to enter new markets and cater to the demands of the growing population.

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EXPLANATION

In conclusion, the factored expression is 2(3x+2)

Answer: PN= 20 in.

Step-by-step explanation:

Given: In triangles PMN and QSR :

Length of P N ≅ Length of RQ  (1)    [ '≅' → Sign of congruence]

Length of QS ≅ Length of PM

Length of MN ≅ Length of RS

By SSS congruence rule

ΔPMN ≅ ΔQSR

Since Length of QR =20 in. [Given]

From (1)

Length of PN= 20 in.  [Congruent means exactly equal]

Answer:

Its C brudda

Step-by-step explanation:

Ronaldo>Messi

Answer:

(0,-3)

Step-by-step explanation:

(-3,2) reflected over the line y=1 is (-3,0)

Now rotated 90 degrees over what, and in which direction?

Im going to assume that the rotation is counter clockwise over the origin because that is standard when not mentioned. ¯\_(ツ)_/¯

That would be: (0,-3)

Yw! :D

Amount of pretzel each person receives is 17/16 lb.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator.

Total weight of the bag of pretzels = 34 ounce

Elisa shares this among her two sisters equally.

Share of pretzels each sister gets = 34 / 2 = 17 ounces

We need this amount in pounds.

We know that,

16 ounce = 1 lb.

17 ounces = 17/16 lb.

Hence the amount of pretzels each get is  17/16 lb.

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From the question;

1) The net force is 10 N

2) The direction  is to the left

3) The acceleration is  0.5\(m/s^2\)

The acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass, according to Newton's second law of motion.

The Net force = \(F_{2} - F_{1}\)

= 30 N - 20 N

= 10 N

The acceleration is obtained from;

F = ma

F = 10 N

m = 20 Kg

a = F/m

a = 10 N/20 Kg

a = 0.5\(m/s^2\)

The acceleration of the object is 0.5\(m/s^2\).

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Answer:

-2x + 6

Step-by-step explanation:

Step 1: Write expression

3(x + 2) - 5x

Step 2: Distribute

3x + 6 - 5x

Step 3: Combine like terms

-2x + 6

Answer:

-2x+6

Step-by-step explanation:

first multiply the 3(x+2)

that equals 3x+6-5x

Add like terms

-2x+6

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

a) The mean and standard deviation of the sampling distribution of x are μx=84 and σx=3, respectively.

b) P(x > 87) = 0.1587

c) P(z ≤ -2.1) = 0.0179

d) The description of the shape of the sampling distribution of x is B. The distribution is skewed right.

(a) The sampling distribution of x is skewed right as the population is also skewed right with μ=84 and σ = 24.

The mean and standard deviation of the sampling distribution of x are μx=84 and σx=3, respectively.

For a large sample size, the sampling distribution of the sample means approximates to normal distribution, however, with a small sample size the distribution is not approximately normal.

(b) P(x > 87) = P(z > (87-84)/3)

= P(z > 1)

= 0.1587

(c) P(x ≤ 77.7) = P(z ≤ (77.7-84)/3)

= P(z ≤ -2.1) = 0.0179

(d) P(81.3 < x < 85.6) = P((81.3-84)/3 < z < (85.6-84)/3)

= P(-0.9 < z < 0.53)

= P(z < 0.53) - P(z < -0.9)

= 0.7026 - 0.1841

= 0.5185

The correct description of the shape of the sampling distribution of x is B. The distribution is skewed right.

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