Plz help fast will mark brainliest

Answer:

The area between the curves is 4 square units.

Step-by-step explanation:

We want to find the area bounded by:

y = x

x = 0

in the interval x = 1, x = 3

This is simply equal to the integral of the function f(x) = x between x = 1 and x = 3

Written as:

\(\int\limits^3_1 {x} \, dx\)

And the integral of x is equal to x^2/2

Then:

\(\int\limits^3_1 {x} \, dx = (\frac{3^2}{2} - \frac{1^2}{2}) = (\frac{9}{2} - \frac{1}{2} ) = \frac{8}{2} = 4\)

The area between the curves is 4 square units.

2) The function y = tan(x) cannot be expressed as a Fourier series.

1) Dirichlet's conditions are a set of conditions that must be satisfied by a function in order for it to be expanded as a Fourier series. The conditions are as follows:

a) The function f(x) must be periodic with a period T .

b) The function f(x) must have a finite number of maxima and minima within each period.

c) The function f(x) must have a finite number of discontinuities within each period, and these discontinuities must be finite jump discontinuities.

d) The integral of |f(x)| over one period must be finite.

If a function satisfies all of these conditions, it can be expanded as a Fourier series.

2) The function y = tan(x) cannot be expressed as a Fourier series. In order for a function to be expressible as a Fourier series, it must satisfy Dirichlet's conditions. However, the function y = tan(x) does not satisfy these conditions. The function is not periodic, and it has an infinite number of maxima and minima within any interval. Additionally, it has an infinite number of discontinuities (vertical asymptotes) within any interval. Therefore, tan(x) cannot be represented by a Fourier series.

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Answer:

27 glasses

Step-by-step explanation:

If one pitcher holds 9 glasses,

and

there are 3 pitchers,

multiply 9 by 3.

9×3 = 27

Answer:

B

Step-by-step explanation:

Hope this helps : )

We can say that the total number of dogs in Russell's backyard is equal to n divided by 4, where n is the total number of legs.

"Russell has many dogs in his backyard.

Let's suppose there are x dogs in Russell's backyard. We know that each dog has four legs. As a result, the total number of legs for x dogs will be 4x.

There are n legs in total, according to the problem. This equation can be written as:4x = nNow, let's divide both sides of the equation by 4 to solve for x:x = n/4

Thus, the expression representing the number of dogs Russell has in his backyard if there are n legs is x = n/4.

The Let's suppose there are x dogs in Russell's backyard.

We know that each dog has four legs. As a result, the total number of legs for x dogs will be 4x.There are n legs in total, according to the problem.

This equation can be written as:4x = nNow, let's divide both sides of the equation by 4 to solve for x:x = n/4

Thus, the expression representing the number of dogs Russell has in his backyard if there are n legs is x = n/4.

To summarize, we can say that the total number of dogs in Russell's backyard is equal to n divided by 4, where n is the total number of legs.

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Answer:

7. (4, -6)

8. (1, 4)

Step-by-step explanation:

7.

substitution is when we use one equation to express one variable by the other, and then use that in the second equation to solve for this other variable.

with that value we go back into the first equation and solve for the first variable.

x + y = -2

x = -2 - y

4x + 2y = 4

2x + y = 2

here we use now the x = 2 - y :

2(-2 - y) + y = 2

-4 - 2y + y = 2

-4 - y = 2

-6 - y = 0

y = -6

x = -2 - -6 = -2 + 6 = 4

8.

elimination is when we transform the equations, so that after adding both equations the sum contains only one variable, for which we can then solve. and then we use that in any of the original equations to solve for the other equation.

in our case we don't need any transformation. just by adding both equations we eliminate x and can solve for y.

-5x + 6y = 19

5x - 3y = -7

------------------------

0 3y = 12

y = 12/3 = 4

now we use that in any of the original equations. e.g. the second :

5x - 3×4 = -7

5x - 12 = -7

5x = 5

x = 1

Answer:

3 beverages, 5 appetizers, 8 entrees, and 4 desserts.

Step-by-step explanation:

I think you meant 20 items, so let's do that. To find 15% of 20, we multiply 20 by .15. This gets us 3. We repeat this with all the other numbers, using different decimals, of course. We get 3 beverages, 5 appetizers, 8 entrees, and 4 desserts. 3 + 5 + 8 + 4 is 20, so everything checks out.

There will be 6.11 acres in a piece of property measuring 620' x 430'

To calculate the number of acres in a piece of property, you need to convert the measurements from feet to acres.

1 acre is equal to 43,560 square feet.

Given that the property measures 620' x 430', you can calculate the area in square feet by multiplying the length by the width: 620' x 430' = 266,600 square feet.

To convert the area from square feet to acres, divide the square footage by 43,560: 266,600 square feet / 43,560 = 6.11 acres (rounded to two decimal places).

Therefore, the piece of property measures approximately 6.11 acres.

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Answer:

D. None of the above; the triangles cannot be proven similar

Step-by-step explanation:

There are no signs that shows the triangles are similar or congruent for given information. So the answer is last option :

D. None of the above; the triangles cannot be proven similar

The given equation is cos(z) = sin(2z). To solve this equation, we'll use trigonometric identities and properties.

First, we can express sin(2z) in terms of cos(z) using the double angle identity for sine:

sin(2z) = 2sin(z)cos(z)

Now we substitute this expression into the equation:

cos(z) = 2sin(z)cos(z)

Since we're dealing with an equation involving trigonometric functions, it's essential to consider the possible values of z. In this case, we have the restriction that 0 < z < π/2.

Next, we can simplify the equation by canceling out cos(z) on both sides:

1 = 2sin(z)

Now we divide both sides by 2:

sin(z) = 1/2

To find the angle z that satisfies this equation, we consider the unit circle or use trigonometric reference angles. The reference angle for sin(z) = 1/2 is π/6. Since we're working in the first quadrant where sine is positive, we have:

z = π/6

So the angle that satisfies the given equation is z = π/6.

It's important to note that there can be multiple solutions for trigonometric equations. In this case, we considered the solution within the given range of 0 < z < π/2. If the range was different, such as -π/2 < z < 0, there would be other solutions as well. Therefore, the solution to the equation cos(z) = sin(2z) within the given range is z = π/6.

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The probability that both of his kids are boys are 1/3.

If a man has 2 kids, the possible combinations of kids are:

There are 4 possible combinations of the sexes of the two kids.

The fourth possibility is impossible, because one of the kids is a boy. So it can't be both girls. Then the possible combinations are:

The number of combinations of the both kids are boys = 1

The number of combinations that minimum one kid is boy = 3

Then the probability that both of kids are boys are:

\(P_{both boy}=\frac{both boy}{minimal one boy} \\P_{both boy}=\frac{1}{3} \\\)

So the probability both of kids are boy is 1/3.

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Let's call the weight of pears sold x.

So the weight of apples sold would be 7.8 - x.

And we know that x = 7.8 * 1/4 = 1.95 kilograms.

Therefore, the weight of apples sold is 7.8 - 1.95 = 5.85 kilograms.

Answer: The answer is $4.6 per pound.

Step-by-step explanation: All you have to do is $16.10/3.5= $4.6

Answer:

I think it’s 90% if u round up it should be 91%

Step-by-step explanation:

If it’s wrong I’m REALLY sorry

Answer:

47.619047619047

Step-by-step explanation:

63-33= 30

\( \frac{30}{63} \times 100 = 47.619047619047\)

you are welcome

Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

Answer:

(1 1/4) ×(2 3/5) = 13 /4  = 3 1 /4  = 3.25

To evaluate the line integral of the function

�

(

�

)

=

(

2

−

1

)

3

f(z)=(2−1)

3

 along the circle

�

C with the equation

�

−

�

�

=

1

z−il=1, we can use the parametric representation of the circle. Let's denote the parameterization of the circle as

�

=

�

(

�

)

z=z(t), where

�

t ranges from

0

0 to

2

�

2π.

First, let's find the expression for

�

(

�

)

z(t) by rearranging the equation of the circle:

�

−

�

�

=

1

z−il=1

�

=

1

+

�

�

z=1+il

The parameterization of the circle becomes

�

(

�

)

=

1

+

�

�

(

�

)

z(t)=1+il(t), where

�

(

�

)

=

�

�

�

l(t)=e

it

.

Next, we need to calculate the differential of

�

z, which is given by:

�

�

=

�

�

�

�

�

�

=

�

�

′

(

�

)

�

�

dz=

dt

dz

​

dt=il

′

(t)dt

To evaluate the line integral, we substitute these expressions into the integral:

∫

�

�

(

�

)

�

�

=

∫

�

(

2

−

1

)

3

�

�

′

(

�

)

�

�

∫

C

​

f(z)dz=∫

C

​

(2−1)

3

il

′

(t)dt

Now, we can simplify the integrand:

(

2

−

1

)

3

=

1

3

=

1

(2−1)

3

=1

3

=1

Therefore, the integral becomes:

∫

�

�

(

�

)

�

�

=

∫

�

�

�

′

(

�

)

�

�

∫

C

​

f(z)dz=∫

C

​

il

′

(t)dt

To evaluate this integral, we need to express

�

′

(

�

)

l

′

(t). Taking the derivative of

�

(

�

)

=

�

�

�

l(t)=e

it

, we have:

�

′

(

�

)

=

�

⋅

�

�

�

(

�

�

�

)

=

�

⋅

�

�

�

�

=

−

�

�

�

l

′

(t)=i⋅

dt

d

​

(e

it

)=i⋅ie

it

=−e

it

Substituting this expression into the integral:

∫

�

�

�

′

(

�

)

�

�

=

∫

�

−

�

�

�

�

�

∫

C

​

il

′

(t)dt=∫

C

​

−e

it

dt

To evaluate this integral, we can use the parameterization

�

(

�

)

=

1

+

�

�

(

�

)

z(t)=1+il(t) and the fact that

�

t ranges from

0

0 to

2

�

2π.

Substituting

�

(

�

)

=

1

+

�

�

(

�

)

z(t)=1+il(t) and

�

�

=

�

�

′

(

�

)

�

�

dz=il

′

(t)dt into the integral:

∫

�

−

�

�

�

�

�

=

∫

0

2

�

−

�

�

�

⋅

�

�

′

(

�

)

�

�

=

∫

0

2

�

−

�

�

�

⋅

�

⋅

−

�

�

�

�

�

∫

C

​

−e

it

dt=∫

0

2π

​

−e

it

⋅il

′

(t)dt=∫

0

2π

​

−e

it

⋅i⋅−e

it

dt

Simplifying further:

∫

0

2

�

−

�

�

�

⋅

�

⋅

−

�

�

�

�

�

=

�

∫

0

2

�

�

2

�

�

�

�

∫

0

2π

​

−e

it

⋅i⋅−e

it

dt=i∫

0

2π

​

e

2it

dt

Now, we can evaluate this integral. The integral of

�

2

�

�

e

2it

 is:

∫

�

2

�

�

�

�

=

1

2

�

�

2

�

�

∫e

2it

dt=

2i

1

​

e

2it

Substituting the limits:

�

∫

0

2

�

�

2

�

�

�

�

=

�

[

1

2

�

�

2

�

�

]

0

2

�

=

1

2

�

�

4

�

�

−

1

2

�

�

0

i∫

0

2π

​

e

2it

dt=i[

2i

1

​

e

2it

]

0

2π

​

=

2i

1

​

e

4iπ

−

2i

1

​

e

0

Since

�

4

�

�

=

cos

⁡

(

4

�

)

+

�

sin

⁡

(

4

�

)

=

1

+

�

⋅

0

=

1

e

4iπ

=cos(4π)+isin(4π)=1+i⋅0=1 and

�

0

=

1

e

0

=1, the expression simplifies to:

1

2

�

−

1

2

�

=

0

2i

1

​

−

2i

1

​

=0

Therefore, the value of the line integral

∫

�

�

(

�

)

�

�

∫

C

​

f(z)dz is

0

0.

Because the integrals of -sin(t) and cos(t) over the circle cancel each other out, the line integral equals to zero.

The parametric representation of the circle can be used to evaluate the given line integral, c (2-1)3 dz, where c is the circle with center I and radius 1.

The parametric condition of a circle with focus an and span r is given by:

x = (a + r) * (cos(t)) and y = (b + r) * (sin(t)) respectively. Here, the radius is 1 and the center of the circle is I (0 + 1i).

In this manner, the parametric condition becomes:

We need to find the differential of the complex variable dz in order to evaluate the line integral. x = cos(t) y = 1 + sin(t). We have: because dz = dx + i * dy

Now, substitute the parametric equations and the differential dz into the line integral: dz = dx + I * dy = (-sin(t) + I * cos(t)) * dt

\(∮c (2-1)^3 dz = ∮c (1)^3 (- sin(t) + I * cos(t)) * dt\)

We can part the fundamental into its genuine and nonexistent parts:

\(∮c (2-1)^3 dz = (∮c (- sin(t) + I * cos(t)) * (dt) = (∮c - sin(t) dt) + (I * ∮c cos(t) dt)\)

The necessary of - sin(t) regarding t over the circle is:

With respect to t over the circle, the integral of cos(t) is:

c -sin(t) dt = ([0, 2] -sin(t) dt) = ([cos(t)]|[0, 2]) = (cos(2] - cos(0)) = (1 - 1) = 0

∮c cos(t) dt = (∫[0, 2π] cos(t) dt) = ([sin(t)]|[0, 2π]) = (sin(2π) - sin(0)) = (0 - 0) = 0

Hence, the value of the line integral\(∮c (2-1)^3 dz\) over the circle c is 0.

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Answer:

3x^2 + 7xy + 5

Step-by-step explanation:

The prefix length notation for the subnet mask 255.255.255.224 is /27.

The length of something refers to its size or length measured from end to end. In other words, it is the larger of an object's higher two or three geometric dimensions. For instance, a rectangle's dimensions are determined by its length and width.

The prefix-length defines a range of devices. It is represented by a slash (/) after an integer between 1 and 128.

There are 27 bits in the subnet mask 255.255.255.224 that are set to 1, giving it a prefix length of /27. Hence, /27 is used to represent the prefix length for the subnet mask 255.255.255.224.

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To find a basis for the subspace W of R³, we need to determine a set of linearly independent vectors that span W. We can do this by solving the system of linear equations that defines W and identifying the free variables.

The given system of equations is:

a + 6 + c = 0,

6 + 2c - d = 0,

a - c + d = 0.

Rewriting the system in augmented matrix form, we have:

| 1 0 1 | 0 |

| 0 2 -1 | 6 |

| 1 -1 1 | 0 |

By row reducing the augmented matrix, we can obtain the reduced row echelon form:

| 1 0 1 | 0 |

| 0 2 -1 | 6 |

| 0 0 0 | 0 |

The row of zeros indicates that there is a free variable. Let's denote it as t. We can express the other variables in terms of t:

a = -t,

b = 6 - 3t,

c = t,

d = 2(6 - 3t) = 12 - 6t.

Now we can express the vectors in W as linear combinations of a basis:

W = {(-t, 6 - 3t, t, 12 - 6t)}.

To find a basis, we can choose two linearly independent vectors from W. For example, we can choose:

v₁ = (-1, 6, 1, 12) and

v₂ = (0, 3, 0, 6).

Therefore, a possible basis for the subspace W is {(-1, 6, 1, 12), (0, 3, 0, 6)}.

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Answer:

b. the two lines are neither parallel nor perpendicular.

The answer is infinitely many solutions because 0 = 0.

If you don't seem to see where I got 0 = 0, look at the equation,

4b – 4b = 0

first lets do the math on the left side.

4b - 4b  is equal to 0.

so lets put 0 on the left side, now lets look at the equation all together,

0 = 0,

and this means that it has infinitely many solutions.

The reason why it is not no solution because no solution means when there are no answers to the equation. For example, the solution is not true, such as the equation 24 ≠ 29. This is a no solution equation. One solution can be 4x = 20, as x = 5, concluding it being one solutions.

Answer:

52k

Step-by-step explanation:

If a week =k

Year=52 weeks

52 times k equals 52 k

Answer:

24.5

Step-by-step explanation:

multiplying by 1/10 is the same as multiplying by 1 and then deviding by 10, so 245/10=24.5

To achieve a margin of error of 0.6 with 80% confidence for estimating the mean satisfaction level, the sports reporter would need a sample size rounded up to the next whole number. For estimating the proportion of employees using a costly benefit with a margin of error of 0.13 at the 80% confidence level, the HR administrator would need a sample size rounded up to the next whole number.

For estimating the mean satisfaction level, the formula to calculate the required sample size is given by:
n = (Z * σ / E)²
Where:
n = sample size
Z = Z-score corresponding to the desired confidence level (80% corresponds to a Z-score of approximately 1.28)
σ = standard deviation
E = desired margin of error
Plugging in the values, we have:
n = (1.28 * 3.4 / 0.6)²
Similarly, for estimating the proportion, the formula to calculate the required sample size is given by:
n = (Z² * p * (1-p)) / E²
Where:
n = sample size
Z = Z-score corresponding to the desired confidence level (80% corresponds to a Z-score of approximately 1.28)
p = estimated proportion (0.5 is commonly used when no preliminary notion is available)
E = desired margin of error
Plugging in the values, we have:
n = (1.28² * 0.5 * (1-0.5)) / 0.13²
In both cases, the calculated sample sizes should be rounded up to the next whole number.

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Since the sales representative calls on four hospitals in westchester county, the numbers of ways can he organize his calls is option A: 24  possible ways.

Throughout every stage of the sales process, a sales representative deals directly with customers. They must determine a customer's needs, make a compelling case for pertinent items or services, and guarantee a positive overall experience.

Note that:

For the first call he makes, he has 4 choices.

For the first call he makes, he has  3 choices.

For the first call he makes, he has choices.

For the first call he makes, he has choice.

Solution:

4 x 3 x 2 x 1 = 24 possible combinations.

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See options below

A sales representative calls on four hospitals in Westchester County. It is immaterial what order he calls on them. How many ways can he organize his calls?

24

7

120  

37

47 = 2(k + 3) + 3(k - 3)

47 = 2k + 6 + 3k - 9

47 - 6 + 9 = 2k + 3k

56 - 6 = 5k

50 = 5k

k = 50/5

k = 10

Result k = 10

Answer:

910.5

Step-by-step explanation:

Since median is the middle number and there are two of them remaining. You take those two remaining numbers add them then you divide by two.

=1821

=1821÷2

=910.5

Answer:

925

Step-by-step explanation:

You arrange the numbers from the smallest to the largest.

856,894,899,909,912,916,923,927,943,946,958,973,975,998.

Eliminate a number from the starting point and consecutively eliminate from the last point. Do this continuously.

You will be left with 923 and 927.

Add the two numbers then divide by 2.

Answer:

substitution method

x = 7

y = 2

Step-by-step explanation:

2x - 2y = 10

x = 7

substitute for x:

2(7) - 2y = 10

14 - 2y = 10

subtract 14 from each side of the equation:

-2y = -4

divide both sides by -2:

y = 2

Answer: \(-5000\)

Step-by-step explanation:

Hint: "below" the ocean depths