Use the distributive property to remove the parentheses.
-7(-4x-2u+1)

It looks like the integral is

\(\displaystyle 6 \int yz\cos(x) \, ds\)

With \(x=t\), \(y=\cos(t)\), and \(z=\sin(t)\), the line element is

\(ds = \sqrt{\left(\dfrac{dx}{dt}\right)^2 + \left(\dfrac{dy}{dt}\right)^2 + \left(\dfrac{dz}{dt}\right)^2} \, dt = \sqrt2 \, dt\)

and so

\(\displaystyle 6 \int yz\cos(x) \, ds = 6\sqrt2 \int_0^\pi \cos^2(t) \sin(t) \, dt\)

Substitute \(u = \cos(t)\) and \(du=-\sin(t)\,dt\), then

\(\displaystyle 6 \int yz\cos(x) \, ds = -6\sqrt2 \int_1^{-1} u^2 \, du = 12\sqrt2 \int_0^1 u^2 \, du = \boxed{4\sqrt2}\)

where in the second-to-last equality, we have

\(\displaystyle -\int_1^{-1} = \int_{-1}^1\)

and

\(\displaystyle \int_{-1}^1 u^2 \, du = 2 \int_0^1 u^2\,du\)

by symmetry.

Answer:

Step-by-step explanation:

The equilibrium price and quantity for each pair of demand and supply functions are as follows:

a. Q = 10 - 2P

To find the equilibrium, we set the quantity demanded equal to the quantity supplied:

10 - 2P = P

By solving this equation, we can determine the equilibrium price and quantity. Simplifying the equation, we get:

10 = 3P

P = 10/3 ≈ 3.33

Substituting the equilibrium price back into the demand or supply function, we can find the equilibrium quantity:

Q = 10 - 2(10/3) = 10/3 ≈ 3.33

Therefore, the equilibrium price is approximately $3.33, and the equilibrium quantity is also approximately 3.33 units.

b. Q = 1640 - 30P

Setting the quantity demanded equal to the quantity supplied:

1640 - 30P = P

Simplifying the equation, we have:

1640 = 31P

P = 1640/31 ≈ 52.90

Substituting the equilibrium price back into the demand or supply function:

Q = 1640 - 30(1640/31) ≈ 51.61

Hence, the equilibrium price is approximately $52.90, and the equilibrium quantity is approximately 51.61 units.

In summary, for the demand and supply functions given:

a. The equilibrium price is approximately $3.33, and the equilibrium quantity is approximately 3.33 units.

b. The equilibrium price is approximately $52.90, and the equilibrium quantity is approximately 51.61 units.

In the first paragraph, we summarize the steps taken to determine the equilibrium price and quantity for each pair of demand and supply functions. We set the quantity demanded equal to the quantity supplied and solve the resulting equations to find the equilibrium price. Substituting the equilibrium price back into either the demand or supply function allows us to calculate the equilibrium quantity.

In the second paragraph, we provide the specific calculations for each pair of functions. For example, in case a, we set Q = 10 - 2P equal to P and solve for P, which gives us P ≈ 3.33. Substituting this value into the demand or supply function, we find the equilibrium quantity to be approximately 3.33 units. We follow a similar process for case b, setting Q = 1640 - 30P equal to P, solving for P to find P ≈ 52.90, and substituting this value back into the function to determine the equilibrium quantity of approximately 51.61 units.

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Answer:

She will pay $75.00 less.

Step-by-step explanation:

To get ⅕ of 250, divide it by 5. (250÷5=50)

You also need to take 10% off of the original price. To do that, multiply 250 by 0.1. (250×0.1=25)

In total, she will pay $75.00 less, or $175.00. (50+25=75) (250-75=175)

Answer:

There is an asymptote at x = 0

There is an asymptote at y = 23

Step-by-step explanation:

Given the function:

(23x+14)/x

Vertical asymptote is gotten by equating the denominator to zero

Since the denominator is x, hence the vertical asymptote is at x = 0. This shows that there is an asymptote at x = 0

Also for the horizontal asymptote, we will take the ratio of the coefficient of the variables in the numerator and denominator

Coefficient of  x at the numerator = 23

Coefficient of x at the denominator = 1

Ratio = 23/1 = 23

This means that there is an asymptote at y = 23

Therefore, the correct answer is (A).

To parameterize the portion of the plane

\(�+�+�=\)

4

x+y+z=4 that lies in the first octant, we need to find expressions for

\(�x, �y, and �\)

z in terms of parameters

\(�u and �v\)

that satisfy the given conditions.

In the first octant, all three coordinates,

\(�x, �y, and �z,\)

are positive.

Let's consider the parameterization options provided:

\((A) (�,�,4−�−�)(u,v,4−u−v), 0≤�≤10≤u≤1, 0≤�≤10≤v≤1\)

This parameterization satisfies the equation of the plane

\(�+�+�=4x+y+z=4, and the conditions �≥0x≥0, �≥0y≥0, �≥0z≥0\) for the first octant. So, option (A) is a valid parameterization.

To confirm, let's substitute the expressions for

\(�x, �y, and �\)

z into the equation of the plane:

\(�+�+�=�+�+4−�−�=4x+y+z=u+v+4−u−v=4\)

The equation holds true, so option (A) is a valid parameterization for the portion of the plane

\(�+�+�=4x+y+z=4\)that lies in the first octant.

Therefore, the correct answer is (A).

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Answer:

i need the answer too lol

Step-by-step explanation:

Answer:

15 m

Step-by-step explanation:

Answer:The answer is 36.

Step-by-step explanation:

Because 20% of 36 is equal to 7.2

And 36 - 7.2 = 28.80

Answer:

100/80×28.80=$36

Step-by-step explanation:

Answer:  B rectangular pyramid and D rectangular prism

Step-by-step explanation:

The first word tells you what the base is.

So if the first word is triangular, the base is triangular

The second word tells you if it's pointed on top or columned like a cylinder.  

Pyramid means pointed, like egyptian pyramids.  prism means columned like a cylinder.

Second word doesn't matter  because if you are slicing horizontallly the shapes will be same going upwards

So, Answer is B and D

Answer:

1)

1. Given

2. Vertical Angles Theorem

3. SAS Congruence Postulate

2)

1. Given

2. Definition of Angle Bisector

3. Definition of Perpendicular Lines

4. All right angles are congruent.

5. Reflexive Property

6. ASA Congruence Postulate

3)

1. AC is the perpendicular bisector of PT.

2. Definition of Bisector

3. AC = AC

4. Definition of Perpendicular Bisector

5. <PCA = <TCA

6. SAS Congruence Postulate.

7. PA = TA; CPCTC

Step-by-step explanation:

None necessary.

We need to find the probability of exactly three successes in six trials of a binomial experiment. Probability of success 50% (no success is 50%).

To find this probability, we need to use the following formula for Bernoulli Trials (or Binomial Experiment):

The combinations are given by:

Then, we have:

Thus, the probability of exactly three successes in six trials of a binomial experiment (which the probability of success is 50%) is 0.0625.

Rounding to the nearest tenth is about p = 0.1 (1/10) or 10%.

Answer: 10 and or fish

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

5+4

You have 5 of something

* * * * *

And you have 4 of something

* * * *

Add them together and count them up

* * * * * * * * *

9

The simplified form of the expression (42x + 62y) + (38x - 4y) is 80x + 58y.

Given the expression in the question

(42x + 62y) + (38x - 4y)

To simplify, collect and add like terms.

(42x + 62y) + (38x - 4y)

42x + 62y + 38x - 4y

Collect like term

42x + 38x - 4y + 62y

Add 42x and 38x

80x - 4y + 62y

Add -4y and 62y

80x + 58y

Therefore, the simplified form is 80x + 58y.

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Answer:

220

Step-by-step explanation:

Multiply 15 times 10 =150

150+70=220

Hope this helps :)

==========================================================

Explanation:

After 10 weeks, he'll deposit a total of 15*10 = 150 dollars on top of the $70 already in the account. This means the grand total is 150+70 = 220 dollars

If you need to use algebra, then an algebraic expression you can use is 70+15x where x is the number of weeks. Replace x with 10 and you'll end up with 70+15*10 = 70+150 = 220. It's effectively the same idea and steps as the previous paragraph, but now we're involving a variable.

\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

Let's solve ~

\( \qquad \sf  \dashrightarrow \: (x {}^{3} - 4x {}^{2} + 1) + (3 {x}^{2} + x)\)

\( \qquad \sf  \dashrightarrow \: {x}^{3} - 4 {x}^{2} + 1 + 3 {x}^{2} + x\)

\( \qquad \sf  \dashrightarrow \: {x}^{3} - 4 {x}^{2} + 3x {}^{2} + x + 1\)

\( \qquad \sf  \dashrightarrow \: {x}^{3} - {x}^{2} + x + 1\)

Answer:

A plane is a two-dimensional surface that can contain points, rays, and lines, including parallel lines.

A plane can contain several lines which might be parallel to each other.

A plane is a flat surface on which a straight line joining any two points on it would wholly lie. It is usually represented in drawings by a four‐sided figure.

A plane is a flat, two-dimensional surface that extends indefinitely.

A line can be contained in a plane.

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Binomial distribution describes the variety of successes k accomplished in n trials, wherein opportunity of achievement is p. Geometric distribution is a unique case of bad binomial distribution, wherein the test is stopped in the beginning failure (r = 1).

The not common definition of the Geometric distribution is the variety of trials till the primary achievement.. The following is an instance for the distinction among the Binomial and Geometric distributions: If a own circle of relatives comes to a decision to have five youngsters, then the variety of girls (successes) within side the own circle of relatives has a binomial distribution. If the own circle of relatives comes to a decision to have youngsters till they have got the primary lady after which stop, the the variety of youngsters within side the own circle of relatives has a Geometric distribution . A variant at the Geometric distribution is counting the variety of failures till the primary achievement, after which the variety may be 0,1,2,... In the instance it might be counting the variety of boys within side the own circle of relatives earlier than the primary lady turned into born, and now no longer the entire variety of youngsters. The distinction among the 2 versions is usually 1.

Therefore, Binomial distribution describes the variety of successes k accomplished in n trials, wherein opportunity of achievement is p. Geometric distribution is a unique case of bad binomial distribution, wherein the test is stopped in the beginning failure (r = 1).

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Answer:

4      HAH AHQ HQH!!!

Step-by-step explanation:

1 1 1 1

Answer:

4

Step-by-step explanation:

2+2 is 4

Answer:

6:18

Step-by-step explanation:

1. The total amount of animals is 18

2. The amount of cats is 6

3. The ratio of cats to the total number of animals is 6:18

Answer:

1:3

Step-by-step explanation:

1) The number of cats: 6

2) The number of all of the animals: 18

3) The ratio--> 6:18

4) Simplify: (both of the numbers go into six) thus, the answer is 1:3

Hope this helps :)

Answer:

the answer is a or b and i think a

Step-by-step explanation:

Answer:

fourth option

Step-by-step explanation:

In a right triangle with legs x ( horizontal leg) and y ( vertical leg) and hypotenuse r, then

sinθ = \(\frac{opposite}{hypotenuse}\) = \(\frac{y}{r}\)

Option 2 is correct that is 1.79

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).

The quartiles formula is as follows:

Upper Quartile (Q3) = 3/4(N+1)

Lower Quartile (Q1) = (N+1) * 1/3

Middle Quartile (Q2) = (N+1) * 2/3

Interquartile Range = Q3 -Q1,

1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.

Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.

The data set has 8 values.

hence, n = 8; third quartile: 3/4 (n+1)th term

Q3 =3/4 of a term (9) term

Q3 =27/4 th term

Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)

equals 1.76

Thus Q3 is 1.76 that is option 2

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Answer:

the answer is B

Step-by-step explanation:

your welcome

Answer:

y=3x-17

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Explanation:

Like with the previous problems, the answer comes fairly straight forward from the values of c and d.

c = 4 tells us we have a shift of 4 units to the left

d = 3 indicates we're shifting 3 units up.

Note: we shift left instead of right because x+c = x+4 means the xy axis has been shifted 4 units to the right, giving the illusion the cosine curve is shifted 4 units to the left.

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

The area of the rug, represented by the quadratic expression, x² - 16·x + 64, indicates;

a. The factored expression is; x² - 16·x + 64 = (x - 8)·(x - 8)

b. The factors (x - 8) and (x - 8) in the factored expression represent the length and the width of the rug.

A quadratic expression is an expression of the form; a·x² - 16·x + 64, where a ≠ 0, and a, b, and c are numbers.

The possible expression for the area of the rug is the quadratic expression; (x² - 16·x + 64)

The length of the rug = The width of the rug

a. The factor of the expression in the question, (x² - 16·x + 64), can be obtained by finding the numbers that have a product of 64 and a sum of -16

The possible number is therefore; 8

-8 × -8 = 64

-8 - 8 = -16

Therefore, we get; (x - 8) × (x - 8) = (x² - 16·x + 64)

The factored expression is therefore; (x² - 16·x + 64) = (x - 8) × (x - 8)

b. The measure of the factors are the same; (x - 8) = (x - 8)

Whereby; x² - 16·x + 64 represents the area of the carpet and the lengths and the width of the of carpet are the same, therefore;

The length of the carpet = (x - 8)

The width of the carpet = (x - 8)

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Answer:

x= 2i√2

Step-by-step explanation:

Combine terms 10x^2+83=3

Subtract 83 from both sides 10x^2=-80

Divide 10 from both sides x^2=-8

Take square root of each side x= square root of -8

Since there is no perfect square we do prime factorization of the 8 we get 4 and 2.

4 is a perfect square so it stays outside (but remember that what stays outside has the be result of the square so its a 2) and two stays inside the square

2√2

Remember that the response was negative so we have to add i.

Therefore, x= 2i√2