Rewrite the inequality with zero on one side and one rational expression on teh other. 3/x+2+4>3 what is the first step

The solution of the integral ∫ -8x cos 6x dx is  (-4/3)xsin(6x) - (2/9)cos(6x) + C

To evaluate the integral ∫ -8x cos 6x dx, we will use integration by parts, which involves the formula

∫u dv = uv - ∫v du, where u and dv are functions of x.

We need to follow this steps-
Step 1: Choose u and dv
Let u = -8x and dv = cos(6x) dx.

Step 2: Differentiate u and integrate dv
Differentiate u with respect to x to get du: du = -8 dx.
Integrate dv with respect to x to get v:

v = ∫cos(6x) dx = (1/6)sin(6x).

Step 3: Apply the integration by parts formula
∫ -8x cos 6x dx = uv - ∫v du = (-8x)(1/6)sin(6x) - ∫(1/6)sin(6x)(-8) dx

Step 4: Simplify the expression and integrate
= (-4/3)xsin(6x) + (4/3)∫sin(6x) dx

Now,we integrate sin(6x) with respect to x:
∫sin(6x) dx = (-1/6)cos(6x)

Step 5: Substitute the integral back into the expression
= (-4/3)xsin(6x) + (4/3)(-1/6)cos(6x) + C

Step 6: Simplify the expression and include the constant of integration
= (-4/3)xsin(6x) - (2/9)cos(6x) + C

So, the evaluated integral is ∫ -8x cos 6x dx = (-4/3)xsin(6x) - (2/9)cos(6x) + C.

Learn more about trigonometric ratios : https://brainly.com/question/12172664

#SPJ11

The equation of the curve that satisfies $dy/dx=4x^3y$ and whose y-intercept is 7 is $y=7e^{x^4}$.Answer: $y=7e^{x^4}$.

The given differential equation is: $dy/dx=4x^3y$.We are to find the equation of the curve that satisfies the given differential equation, and whose y-intercept is 7. We can use separation of variables to solve the differential equation as follows:\[\frac{dy}{dx}=4x^3y\]Dividing both sides by y gives:\[\frac{1}{y} \frac{dy}{dx}=4x^3\]Integrating both sides with respect to x gives:\[\int \frac{1}{y} \frac{dy}{dx} dx=\int 4x^3 dx\]\[\int \frac{1}{y} dy=\int 4x^3 dx\]Evaluating the integrals gives:\[\ln |y|=\frac{x^4}{1}+c_1\]Where $c_1$ is the constant of integration.

To solve for y, we exponentiate both sides as follows:\[|y|=e^{\frac{x^4}{1}+c_1}\]The y-intercept is given as 7, and we know that the y-intercept occurs at the point (0,7). We can use this fact to solve for the constant of integration $c_1$ as follows:\[|7|=e^{\frac{0^4}{1}+c_1}\]Taking the natural logarithm of both sides gives:\[\ln 7=\frac{0^4}{1}+c_1\]Therefore, $c_1=\ln 7$, and the equation of the curve that satisfies the given differential equation, and whose y-intercept is 7 is:\[y=e^{\frac{x^4}{1}+\ln 7}=7e^{x^4}\]

Hence, the equation of the curve that satisfies $dy/dx=4x^3y$ and whose y-intercept is 7 is $y=7e^{x^4}$.Answer: $y=7e^{x^4}$.

Learn more about Equation

brainly.com/question/29538993

#SPJ4

Answer:

if a line is like so it has a positive slope: / . IF a line is like this it has a negative: \

Therefore that leaves out -1/3 and -3

Either A or C is correct

From the y intercept (where the line intercepts the y axis), in this case 2, to the next point on the line (3, 3) it goes up 1 and over 3 to get to that point from the intercept. Therefore the slope is 1/3. (Rise/run)

1/3

Step-by-step explanation:

We are given:

Money on the fifth day (a₅) = $80

Money on day 21 (a₂₁) = $160

To Find:

Money in the bank on the first day (a₁) = ?

Money being added to the account per day (d) = ?

Money in the bank on day 30 (a₃₀) = ?

__________________________________________________________

Finding the money on day one and the money added:

Solving for equations

Since we are adding a constant amount to our account every day, the amount of money in the bank can be represented by an AP

We know that the formula for the nth term of an AP is:

aₙ = a₁ + (n-1)d

So, we can write the amount of money on day 5 as:

a₅ = a₁ + (5-1)d

a₅ = a₁ + 4d

80 = a₁+  4d                        [We are given that a₅ = 80]

We are also given the amount of money on day 21:

a₂₁ = $160

Money on day 21 can be rewritten as:

a₂₁ = a₁ + (21-1)d

160 = a₁ + 20d                  [Since a₂₁ = 160]

Solving the equations:

Now we have 2 equations. We will now solve them to get the values of a₁ and d

160 = a₁ + 20d ----------------------(1)

80 = a₁ + 4d--------------------------(2)

From equation (2), we can say that:

a₁ = 80 - 4d              [subtracting 4d from both sides]

Now, we will use this value of a₁ in the equation (1):

160 = a₁ + 20d

160 = (80-4d) + 20d

160 = 80 + 16d

80 = 16d             [subtracting 80 from both sides]

d = 5                   [dividing both sides by 16]

Now that we know the value of d, we can use it in any of the 2 equations:

80 = a₁ + 4d

80 = a₁ + 4(5)              [since d=5]

80 = a₁ + 20

a₁ = 60                        [subtracting 20 from both sides]

Now, we know the values of the initial amount of money and the money added to the account everyday

Initial money in the bank = $60

Money added everyday = $5

__________________________________________________________

Money in day 30:

We will use the AP formula to find the value of money on day 30

a₃₀ = a₁ + (30-1)d

We know that a₁ = $60 , d = $5

a₃₀ = 60 + 29(5)

a₃₀ = 60 + 145

a₃₀ = $205

Money on day 30 = $205

Answer:

started with $55

adds $5 each day

$205 on the 30th day

Step-by-step explanation:

21-5 = 16

160-80 = 80

80 divided by 16 = 5

5 * 5 = 25

80 - 25 = 55

9 * 5 = 45

160 + 45 = 205

Answer:

10 have blue 7 have green blocks and 4 have a blue and green block. but only 10 have just a blue block

The statement that accurately describes the form of the sampling distribution is:The inspecting dissemination is regularly circulated with a mean of 37 and standard deviation 1.41.

According to the central limit theorem, regardless of how the population distribution is shaped, the sampling distribution of the sample mean will be approximately normally distributed for a sufficiently large sample size.

For this situation, irregular examples of 32 are drawn from Meredith's patient populace, which fulfills the state of a sufficiently huge example size. The central limit theorem can be used to determine the sampling distribution's mean and standard error.

In this instance, the population mean, which is 37, is equal to the mean of the sampling distribution.

The population standard deviation divided by the square root of the sample size is the sampling distribution's standard error. For this situation, the standard mistake is 8 partitioned by the square foundation of 32, which is around 1.41.

Therefore, the statement that accurately describes the form of the sampling distribution is:

The inspecting dissemination is regularly circulated with a mean of 37 and standard deviation 1.41.

To know more about central limit theorem refer to

https://brainly.com/question/898534

#SPJ11

Group 1 has a larger standard deviation of 25.6 than Group 2 which has a standard deviation of 1.4.

Standard deviation is a statistical measure that calculates how far away each number in a set is from the mean and thus from every other number in the set.

Standard deviation is calculated as the square root of variance, where variance is the average of squared differences from the mean.

Let's compute the standard deviation of the two groups.

Group 1 has a mean of (35+55+75+95+105)/5=73

Age deviations from the mean (in years) are: -38, -18, +2, +22, +32

Squared deviations from the mean are: 1444, 324, 4, 484, 1024

Variance = (1444+324+4+484+1024)/5 = 654

Standard deviation = √(654) = 25.6

Group 2 has a mean of (60+61+62+63+64)/5=62.

Age deviations from the mean are: -2, -1, 0, +1, +2

Squared deviations from the mean are: 4, 1, 0, 1, 4

Variance = (4+1+0+1+4)/5 = 2

Standard deviation = √(2) = 1.4

Therefore, Group 1 has a larger standard deviation of 25.6 than Group 2 which has a standard deviation of 1.4.

To learn about standard deviation here:

https://brainly.com/question/24298037

#SPJ11

Answer:

I

Step-by-step explanation:

I don't know love you tho

Answer:

3.5 is your answer.

Step-by-step explanation:

2.6  

0.9+

------

3.5

Answer

3.5

Explanation

2.6 + 0.9

3.5

Good Luck ^-^

Answer 2019 /0.0047   /2014/  0.493

Step-by-step explanation:

The percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.

A percentage is a portion of a whole that is stated as a number between 0 and 100 as opposed to being expressed as a fraction.

The percentages of everything are 100%, nothing is 0%, 50% of something is 50%, and nothing is 0%.

Given:

In 2019, the average full-time worker in the U.S. spent `8.5` hours working each workday.

This is an increase on the average of `8.1` hours per workday in 2014.

So, Percent change =  (Final value - initial value) / initial value x 100

Percent change = 8.5 - 8.1 / 8.1 x 100

Percent change = 4.93%

Thus, the percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.

Learn more about the percent change here:

brainly.com/question/809966

#SPJ2

The total amount that a customer will pay for the jeans is $33.696.

From the information given, pair of jeans at a local retail store has a cost of $32.00. If the sales tax is 5.3%,

The value of the sales tax will be:

= Sales percentage × Amount

= 5.3% × $32

= $1.696

The total amount paid will be:

= Cost + Tax

= $32 + $1.696

= $33.696

The amount is $33.696.

Learn more about percentages on;

brainly.com/question/24877689

#SPJ1

the first derivative of\(\( Q=x^{4} e^{3x} \) is \( Q' = 4x^{3}e^{3x} + 3x^{4}e^{3x} \)\), and the second derivative is \(\( Q'' = 12x^{2}e^{3x} + 24x^{3}e^{3x} + 9x^{4}e^{3x} \)\).

To find the first and second derivatives of \(\( Q=x^{4} e^{3x} \),\) we will use the product rule and chain rule. Let's start with the first derivative. 1. Use the product rule: \(\[ Q' = (x^{4})' \cdot e^{3x} + x^{4} \cdot (e^{3x})' \]\)

Simplify: \(\[ Q' = 4x^{3} \cdot e^{3x} + x^{4} \cdot 3e^{3x} \] [Q' = 4x^{3}e^{3x} + 3x^{4}e^{3x} \]\)

Now, let's find the second derivative. 2. Use the product rule again:

\(\[ Q'' = (4x^{3}e^{3x})' + (3x^{4}e^{3x})' \]\)

Simplify: \(\[ Q'' = (12x^{2}e^{3x} + 4x^{3} \cdot 3e^{3x}) + (12x^{3}e^{3x} + 3x^{4} \cdot 3e^{3x}) \] \\ Q'' = 12x^{2}e^{3x} + 12x^{3}e^{3x} + 12x^{3}e^{3x} + 9x^{4}e^{3x} \] \\\ Q'' = 12x^{2}e^{3x} + 24x^{3}e^{3x} + 9x^{4}e^{3x} \]\)

To know more about derivative visit:

brainly.com/question/29144258

#SPJ11

Answer:

5 and 44

Step-by-step explanation:

smaller number: x

greater number: 8x + 4

x + 8x + 4 = 49

9x + 4 = 49

9x = 45

x = 5

smaller number: 5

greater number: ?

8(5) + 4 = 40 + 4 = 44

5 + 44 = 49

Hope that helps.

Using BODMAS, the solutions of the expressions are: (1) 9, (2)-12, (3) 0.27, and (4) 0.24

We should know that BODMAS is a mathematical approach which means

In each of the expressions, we must follow the approach

1)    \(\frac{(6+3)^{2} }{3*9}\)

Simplifying this we have 9²/9=81/9

=9

2)  \(\frac{3^{2} -6*2}{(12-8)/2^{2} *10}\)

Using BODMAS we have

(9-12)/4/40

-3÷1/9

⇒-3*4

=-12

(3)   \(\frac{4.5+2*2.5^{2}-6 }{8*4+9}\)

Using BODMAS we have

(4.5+2*6.25-6)/32+9

⇒(4.5+12.5-6)/41

=11/41=0.27

4     (\(\frac{3.5+16-2.5^{2} }{10.5-6*11}\))

Using BODMAS we have  

(3.5+16-6.25)/10.5-66

Simplifying

(13.25)/-55.5

=0.24

Therefore, the values when simplified are  (1) 9, (2)-12, (3) 0.27, and (4) 0.24

Learn more about BODMAS on https://brainly.com/question/29626866

#SPJ1

We diagree with Marco because

and

where, in the first expression, we factorized x and got

and in the second one, we got

In summary, the first expression is equal to x and the second one is equal to zero, so they are different expressions.

Answer:

For two linear equations : a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0;

To determine if two such straight lines are parallel, then you should check for the following conditions :

a₁/a₂ = b₁/b₂ ≠ c₁/c₂ , where a,b are coefficients of x and y for each line.

if this condition is true for the coefficients of x,y, and the intercept of lines (c₁ and c₂) then they are parallel.

for instance,

let's say we have two lines :

x + 2y - 4 = 0,

2x + 4y - 12 = 0;

Now to check if they are parallel you simply check if the condition for parallel lines is met or not.

for these two lines :

a₁ = 1 , b₁ = 2, and c₁ = -4;

a₂ = 2, b₂ = 4, and c₂ = -12;

evaluating the values in the condition we have :

\(\frac{1}{2}\) = \(\frac{2}{4}\) ≠\(\frac{-4}{-12}\) ;

since the condition for parallel is true for these two lines, we can conclude they are parallel.

Answer:

C)

Step-by-step explanation:

The correct answer is C: Tony did not use the property correctly because he did not multiply every term on both sides of the equals sign by 1/4.

To solve the equation 4x = 12x + 20, Tony used the multiplicative property of equality but made an error in the application. The correct approach would be to multiply every term on both sides of the equals sign by the reciprocal of the coefficient of x, which is 1/4 in this case.

However, Tony only multiplied one term on each side by 1/4, resulting in equation x = 3x + 20. This action is incorrect because it does not apply the property to every term containing x. To solve the equation correctly, Tony should have multiplied both sides by 1/4, resulting in x/4 = (3x + 20)/4.

Answer: 45+.20m≤ 100

Step-by-step explanation:100-45=55/.20=275

So he should  drive no more than 275 miles.

Answer:

b

Step-by-step explanation:

n hc l

a n w t

yan lng po Ang Alam k

Answer:

4:10

8:20

16:40

1:2.5

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

Answer:

ASA

Step-by-step explanation:

The following binary number has the value of 157 in decimal form.

Step 1: Compose the binary number in writing. 10011101

Multiplying each binary digit by the corresponding power of two in step two:

1x27 + 0x26 + 0x25 + 1x24 + 1x23 + 1x22 + 0x21 + 1x20

Solve the powers in Step 3:

1x128+0x64+0x32+1x16+8+4+0x2+1x1=128+0 + 0 + 0 + 16+8+4+0 + 0 + 1

Step 4: Add the figures listed above:

128 + 0 + 0 + 16 + 8 + 4 + 0 + 1 = 157.

A binary number is a number that is expressed in the binary system or base 2 numeral system, according to digital technology and mathematics. It talks about numerical values.by the two distinct digits 1 (one) and 0 (zero). The base-2 system is the positional notation that uses 2 as the radix.

A number that has been divided into a whole and a fraction is called a decimal. To express the numerical value of entirely and partially entire quantities between integers, decimal numbers are used.

To know more about binary number visit:

https://brainly.com/question/8649831

#SPJ4

Answer:

x = 90

y = 45

Since it's a square the corners are = 90.

To find y the 90 is halved therefore it is = 45.

Answer:

C

Step-by-step explanation:

To determine where the function f(x) = ln(2 + sin(x)) is concave up, we need to find the second derivative of the function and then determine where the second derivative is positive.

First, we find the first derivative of f(x):

f'(x) = cos(x) / (2 + sin(x))

Then, we find the second derivative of f(x):

f''(x) = [(-sin(x))(2 + sin(x)) - (cos(x))^2] / (2 + sin(x))^2

Simplifying this expression, we get:

f''(x) = [-sin(x)^2 - cos(x)^2 - 2sin(x)cos(x)] / (2 + sin(x))^2

f''(x) = [-1 - sin(2x)] / (2 + sin(x))^2

Now, to find where f''(x) is positive, we need to solve the inequality:

f''(x) > 0

[-1 - sin(2x)] / (2 + sin(x))^2 > 0

The denominator is always positive, so we only need to consider the numerator. We can solve the inequality by considering two cases:

Case 1: -1 < sin(2x) < 0

In this case, the numerator is negative, so the inequality cannot hold. Therefore, there are no solutions in this case.

Case 2: sin(2x) < -1

In this case, sin(2x) is negative and less than -1, which means that 2x is in the third or fourth quadrant. The solutions are given by:

π/2 < x < 3π/4

5π/2 < x < 11π/4

Note that these intervals are within the given domain of the function, 0 ≤ x ≤ 2.

Therefore, the interval on which f(x) = ln(2 + sin(x)) is concave up is:

(π/2, 3π/4) U (5π/2, 11π/4)

To know more about interval notation, visit the link given below:

https://brainly.com/question/29531272

#SPJ4

The distance between the end of the water supply pipe and the sink should be 2 times the diameter of the supply pipe. Option B is the correct answer.

The distance between the end of the water supply pipe and the sink is determined by plumbing codes and standards to ensure safe and efficient water delivery.

The National Standard Plumbing Code requires a minimum distance of 2 times the diameter of the supply pipe between the end of the pipe and the nearest point of use, such as a faucet or sink.

This helps prevent any potential contamination from the supply pipe and ensures adequate flow and pressure for efficient operation.

Learn more about the diameter at

https://brainly.com/question/16938080

#SPJ4

Answer:

1.

    1. Same side exterior angles

    2. They are supplementary angles

    3. VUW = 80

2. x = 40

3. x = 6

4. x = 8

Step-by-step explanation:

1.

    1.

    Same side exterior angles

    2.

    They are supplementary angles

    3.

    100 + 100 = 200

    360 - 200 = 160

    160 / 2 = 80

2.

110 = 3x - 10

110 + 10 = 3x

120 = 3x

120 / 3 = x

x = 40

3.

115 + 115 = 230

360 - 230 = 130

130 / 2 = 65

65 = 8x + 17

65 - 17 = 8x

48 = 8x

48 / 8 = x

x = 6

4.

102 + 102 = 204

360 - 204 = 156

156 / 2 = 78

78 = 10x - 2

78 + 2 = 10x

80 = 10x

80 / 10 = x

x = 8

Answer:

The answer is A, so zero.