Details Find the derivative of f(x) = 2ex sin(x). = f'(x) = Submit Question Which is the derivative of In(tan(x))? a. sec(x)csc(x) b. tan(x)sec (x) c. cos(x) sin(x) d.cot (x) e cot(x)csc (x)

Answer:

Hi, I'm currently a sophomore (10th grader) and my biggest advice would be don't give into peer presssure when it comes to choosing classes. Only take classes that you feel you are able to handle and succeed in, don't take high level classes just because your friends are!

Step-by-step explanation:

Answer:

go to things that interest you like clubs and stuff like that be yourself try to find what your good at and dont stress to much be happy with what you got never push yourself to hard

Step-by-step explanation:

Answer:

X = 70

Step-by-step explanation:

Answer:

x=70

Step-by-step explanation:

180-120=60

60+50=110

180-110=70

Answer:

Hence 27 cubes can be obtained.

Step-by-step explanation:

Volume occupied by one cube of side 2cm = 2*2*2 = 8cm^3

Volume of cube of side 6cm = 216cm^3

Number of cubes of side 2cm which would fit in a cube of side 6cm = 216/8 = 27 cubes

Answer:

slope is 2 and y-intercept is (0, 4)

Step-by-step explanation:

Answer:

s- 2       y int- 4

Step-by-step explanation:

Answer:

1.) slope=6/2 or 3 y-int =2 equation = y=3x+2

2.) slope = -10/1 or -10 y-int = 60 euation = y=-10x+60

Step-by-step explanation:

Slope is rise over run

y-intercept is when x =0

equation is y=mx+b

m=slope and b=y-int

A sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion.

To calculate the required sample size, we can use the formula:

n = (\(z^2\) * p * q) /\(e^2\)

where n is the sample size, z is the z-score corresponding to the desired level of confidence (in this case, 2.576 for 99% confidence), p is the estimated population proportion (0.165, based on the NWBC's finding), q is 1-p, and e is the maximum error we want to tolerate (in this case, 0.06 or 6 percentage points).

Substituting the values, we get:

n = (2.576^2 * 0.165 * 0.835) / \(0.06^2\)

Solving for n, we get:

n ≈ 329

Therefore, a sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion. Note that this assumes a simple random sample and that the population size is much larger than the sample size, so the finite population correction is not needed.

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Answer:

I agree with Leslie. You must add the first terms to get 19y. then when you add -12y, you subtract 12y from 19y to get 7y.

Step-by-step explanation:

17y + 2y - 12y = 19y - 12y = 7y

Answer: I agree with Leslie. You must add the first two terms to get 19y. Then when you add -12y, you subtract 12y from 19y to get 7y.

Answer: $1.05 per orange

Step-by-step explanation:

12.33 - 2.88 = 9.45

9.45 ÷ 9 = 1.05

The amount of yellow paint Curt and Melanie should use is 0.45 quarts so that they can make 1.5 quarts bucket of seafoam green paint.We can use per cent equation.

Given that to make 1.5 quarts bucket of seafoam green paint Curt and Melanie have to mix 70 parts blue paint and 30 parts yellow paint.If 100 percent represent total paint then for 1.5 quarts we have to find the proportion of yellow paint.Let it be x.

30%  / 100% =30 / 100 = x / 1.5 quarts.

We can reduce the equation further,

0.3  = x / 1.5.

0.3 * 1.5 = x

x = 0.45

We can also find blue paint proportion similar by substituting 30 per cent to 70 per cent.

As a result of our calculation, we found the amount of yellow paint to be 0.45 quarts.

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Answer:

Yes, you showed your work.

Step-by-step explanation:

The  first 5 terms of the sequence are 2,4,6,8,10

The term Arithmetic Progression (AP) is a sequence in which the terms are gotten by the addition of a common  term know as the common difference

The given parameter for the sequence is

Each table accommodates 4 people

It can be linked to accommodate more people

This means that the guests are seated each on one side of the table making the table been a square

When it is linked, then one person has to go out from one end remaining three people then two people sit on side two one side, one at one end and one at one end. making it 6 people

First term is 4

Second term is 6

Common difference is 6-4 = 2

Then the terms are 4, 6, 8, 10, .....

In conclusion, the  first 5 terms of the sequence are 2,4,6,8,10

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Answer:

f(5) = 22; f(9) = 34

Step-by-step explanation:

f(5) = 3(5) +7

f(5) = 22

f(9) = 3(9) +7

f(9) = 34

Answer: = 3 acres per day

Showing Work

This is a fraction equal to

3 acres ÷ 1 days

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 1

3 acres ÷ 1

__________

1 days ÷ 1

=

3 acres

_____

1 day

=

3 acres

______

day

= 3 acres per day

Answer:

Step-by-step explanation: 80

Answer: THE ANSWER IS 28%

worked it out on the calculator in the end

Step-by-step explanation:

Answer:

Step-by-step explanation:

C

Answer:

r=-24

Step-by-step explanation:

Step1:  Add 4 to both sides

-2r - 4 + 4 > 44 + 4

-2r > 48

Step 2: Divide both sides by -2

-2r/ -2 > 48/ -2

r < -24

Answer:

He has 18$

Step-by-step explanation:

He starts with 50$, mows 2 lawns, 12$ each, add another 24$, now he has 74$, then he washes a car which is 9$, now he has 83$. he buys two 15$ video games, which is 30$, now he has 53$ then buys a sweatshirt for 35$, 53$-35$ =18$. AND BOOM! He has 18$. YW, Have a nice day!

Each side of cube is 100 cm.

In Maths or in Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron.

Given that,

Volume of cube = 1 cubic meter

We know that,

1 m = 100 cm

Also  volume of cube = \(a^{3}\)

Then,

Volume of cube = 1000000 cm

                   \(a^{3}\)  = \(100^{3}\)

                   a = 100 cm

Hence, Each side of cube is 100 cm.

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Step-by-step explanation:

hope it will help you..

..

Answer:0.012345

Step-by-step explanation: km=mm/1000000 so 12345/1000000=0.012345mm

The given series can be expressed in sigma notation as follows:

∑ (12 + 4/n²)

The two series are:-

Series 1: 12 + 4 + 4/3 + 4/9 + 4/27

Series 2: 12 + 4 + 4/3 + 4/9 + ...

Summation, denoted by the symbol "∑" (sigma), is a mathematical notation used to represent the sum of a series of terms. It is commonly used when we want to express the sum of a sequence of numbers or a pattern that can be described mathematically.

Let's break down each term of the series and represent them in sigma notation.

Series 1: 12 + 4 + 4/3 + 4/9 + 4/27

Where n starts from 0 and goes to 4.

Series 2: 12 + 4 + 4/3 + 4/9 + ...

where n is a positive integer. Note that the series starts with n = 0 because the first term is 12, and subsequent terms involve n in the denominator.

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Given: A biased coin with a probability for heads p is repeatedly tossed. The number of tosses within a given time interval has a Poisson distribution with parameter 1. Derive the probability mass function for the number of heads within the same time interval.Formula used:

The probability mass function for a Poisson distribution is given byP(X=k) = ((e^-λ)(λ^k))/k!, where λ is the parameter and k is the number of events occurred.Solution:Let X be the number of heads that occurs in a given time interval and λ be the parameter such that λ = 1. So, the probability of getting heads in a single toss is p. The probability of getting tails in a single toss is q = 1 - p.Now, the total number of tosses within a given time interval has a Poisson distribution with parameter 1. So, the probability mass function of the number of tosses can be given asP(n) = ((e^-1)(1^k))/k!, where k is the number of tosses within the given time interval.Now, for the total number of tosses, the probability that exactly k tosses occur is:P(k) = ((e^-1)(1^k))/k!, for k = 0, 1, 2, 3, .....Now, the number of heads that occurs in k tosses is a binomial distribution with parameters k and p. Therefore, the probability mass function for the number of heads that occurs in k tosses isP(X=k) = (k C k ) * p^k * q^(n-k) = p^k * q^(n-k) = p^k * (1-p)^k-kFor example, when k = 0, the probability of getting 0 heads isP(X=0) = (e^-1)(1- p)^0 = e^-1Similarly, for k = 1, the probability of getting 1 head isP(X=1) = (e^-1)(p)*1^(1-1) = pe^-1Similarly, for k = 2, the probability of getting 2 heads isP(X=2) = (e^-1)(p)^2/2! = p^2 e^-1/2!Therefore, the probability mass function for the number of heads that occurs in k tosses is:P(X=k) = ((e^-λ)(λ^k))/k! = ((e^-1)(1^k))/k! * p^k * (1-p)^k-k, where k = 0, 1, 2, 3, .... is the required probability mass function.

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This formula is known as the Poisson-Binomial formula, which provides a method for computing the probability distribution of the sum of independent non-identical Bernoulli random variables, which is the case for the number of heads obtained in a sequence of tosses of a biased coin.

Let us denote by N the number of coin tosses within a given time interval.

Also, let H be the number of heads obtained in these N tosses by a biased coin with a probability for heads p.

We need to derive the probability mass function for H, given that N has a Poisson distribution with parameter 1.

Here, the probability of obtaining exactly n heads in N tosses is given by the binomial distribution:

\(P(H=n)= \binom{N}{n}p^n(1-p)^{N-n}\)

Also, the probability mass function for N is given by the Poisson distribution:

\(P(N=k) = \frac{1^k e^{-1}}{k!}\)

The probability mass function for H is obtained by considering all possible values of N:

\(P(H=n)=\sum_{k=n}^{\infty} P(N=k)\cdot P(H=n|N=k)\)

\(\quad =\sum_{k=n}^{\infty} \frac{1^k e^{-1}}{k!}\cdot \binom{k}{n}p^n(1-p)^{k-n}\)

The above formula expresses P(H = n) in terms of the Poisson distribution for N and the binomial distribution for H given N.

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The first partial derivative of the function f(x, t) = e^(-8t) cos(x) with respect to x is -e^(-8t) sin(x), and the first partial derivative with respect to t is -8e^(-8t) cos(x).

To find the first partial derivative of the function f(x, t) = e^(-8t) cos(x) with respect to x, we use the chain rule. We start by taking the derivative of the outer function, which is e^(-8t), with respect to x. Since e^(-8t) is a function of t only, its derivative with respect to x is 0. Next, we take the derivative of the inner function, which is cos(x), with respect to x. The derivative of cos(x) is -sin(x). Putting these pieces together using the chain rule, we get:

∂f/∂x = ∂/∂x [e^(-8t) cos(x)]

       = ∂/∂x [e^(-8t)] cos(x) + e^(-8t) ∂/∂x [cos(x)]

       = 0 cos(x) - e^(-8t) sin(x)

       = -e^(-8t) sin(x)

To find the first partial derivative of the function f(x, t) = e^(-8t) cos(x) with respect to t, we again start by taking the derivative of the outer function, which is e^(-8t), with respect to t. Using the chain rule, we get:

∂f/∂t = ∂/∂t [e^(-8t) cos(x)]

       = (-8e^(-8t)) cos(x) + e^(-8t) ∂/∂t [cos(x)]

       = -8e^(-8t) cos(x)

Putting these two partial derivatives together, we have:

∂f/∂x = -e^(-8t) sin(x)

∂f/∂t = -8e^(-8t) cos(x)

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The correct answer is 'Maura earns $12 per hour for babysitting her 3 nieces'

Here, we want to select which of the options show a multiplicative relationship.

The correct answer is G

Maura earns $12 per hour for babysitting her 3 nieces

Why this shows a multiplicative relationship is that given the number of hours which she babysat, we can find the amount she earned

Hence there is a multiplicative relationship between the amount of money she earns and the number of hours for which she has worked

Answer:

The correct answer is Redbirds

P = 4/5 = 0.8

Answer:x + 3y = 5

3y = -x + 5

y = -(1/3)x + 5/3

slope = -1/3     Parallel lines have the same slope.

Now, you have a point and a slope, so use the Point-Slope form of the equation of a line.

y - y1 = m(x - x1)

y - 4 = (-1/3)(x + 2)

y - 4 = (-1/3)x - 2/3

y = (-1/3)x + 3 1/3   Slope-intercept Form

(1/3)x + y = 10/3     Multiply both sides by 3.

x + 3y = 10    Standard form

Hope this helps and don't yell at me in the comments if I am wrong

plz mark me brainliest  if I am correct

Answer:

The correct answer is y= -x/3 + 14/3 and x + 3y = 14.

a) The optimal solution is:

z = 5,

x1 = 5,

x2 = 1,

x3 = 0,

x4 = 0, and

x5 = 0.

b) Since all the coefficients in the objective row are non-negative, the current solution is optimal.

c)The optimal solution is

z = 1.5,

y1 = 3/2, and

y2 = 0.

Explanation:

(a) Primal simplex method:

Solving the linear program using the primal simplex method:

Minimize Subject to:  

   z = 2x₁ + 3x₂2X₁ - X₂ - X3 ≥ 3, x₁ - x₂ + x3 ≥ 2,

   X1, X₂ ≥ 0.

Convert the inequalities into equations, by introducing slack variables:

2X₁ - X₂ - X3 + x4 = 3, x₁ - x₂ + x3 + x5 = 2,

X1, X₂, x4, x5 ≥ 0.

Write the augmented matrix:

\(\begin{bmatrix} 2 & -1 & -1 & 1 & 0 & 3 \\ 1 & -1 & 1 & 0 & 1 & 2 \\ -2 & -3 & 0 & 0 & 0 & 0 \end{bmatrix}\)

Since the objective function is to be minimized, the largest coefficient in the bottom row of the tableau is selected.

In this case, the most negative value is -3 in column 2.

Row operations are performed to make all the coefficients in the pivot column equal to zero, except for the pivot element, which is made equal to 1.

These operations yield:

\(\begin{bmatrix} 1 & 0 & -1 & 2 & 0 & 5 \\ 0 & 1 & -1 & 1 & 0 & 1 \\ 0 & 0 & -3 & 5 & 1 & 10 \end{bmatrix}\)

Thus, the optimal solution is:

z = 5,

x1 = 5,

x2 = 1,

x3 = 0,

x4 = 0, and

x5 = 0.

(b) Dual simplex method:

Solving the linear program using the dual simplex method:

Minimize Subject to:

z = 2x₁ + 3x₂2X₁ - X₂ - X3 ≥ 3, x₁ - x₂ + x3 ≥ 2,

X1, X₂ ≥ 0.

The dual of the given linear program is:

Maximize Subject to:

3y₁ + 2y₂ ≥ 2, -y₁ - y₂ ≥ 3, -y₁ + y₂ ≥ 0, y₁, y₂ ≥ 0.

Write the initial tableau in terms of the dual problem:

\(\begin{bmatrix} 3 & 2 & 0 & 1 & 0 & 0 & 2 \\ -1 & -1 & 0 & 0 & 1 & 0 & 3 \\ -1 & 1 & 0 & 0 & 0 & 1 & 0 \end{bmatrix}\)

The most negative element in the bottom row is -2 in column 2, which is chosen as the pivot.

Row operations are performed to obtain the following tableau:

\(\begin{bmatrix} 0 & 4 & 0 & 1 & -2 & 0 & -4 \\ 0 & 1 & 0 & 1 & -1 & 0 & -3 \\ 1 & 1/2 & 0 & 0.5 & -0.5 & 0 & 1.5 \end{bmatrix}\)

Since all the coefficients in the objective row are non-negative, the current solution is optimal.

c)The optimal solution is

z = 1.5,

y1 = 3/2, and

y2 = 0.

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The requried linear function, slope, and time are y = 502x + 18272, m=502 and 21 months respectively.

We have the following data:

x y

18 27308

27 31826

Using the formula for slope, we have:

m = (31826 - 27308) / (27 - 18)

m = 502

Therefore, the slope of the linear function is 502. This means that for every month that Jeffrey owns the SUV, the odometer reading increases by an average of 502 miles.

To find the y-intercept (b) and complete the linear function, we can use one of the data points and the slope. Let's use the first data point (18, 27308):

27308 = 502(18) + b

b = 18272

Therefore, the linear function that represents the relationship between the odometer reading and time is:

y = 502x + 18272

To find how long it took for the odometer to read 28,814 miles, we can plug in 28,814 for y and solve for x:

28,814 = 502x + 18272

x = 21

Therefore, it took 21 months for the odometer to read 28,814 miles.

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Answer: about 1587 cm^2

Step-by-step explanation: The equation for area of circle is A= πr^2 OR A= (pi/4)d^2

Given the diameter is 46.7, the radius would be half of that which is 23.35.

Simply plug it into the equation

A =  π23.35^2

OR

A= (π/4)46.7^2

Since you are using 3 in place of pie, it would be 3(23.35)^2  OR (3/4)46.7^2

the answer i got was 1,635 cm^2 so your closest choice to that is 4