use integration by parts to evalute the following integral, where a and b are real numbers except 0.∫sin(ax)sin(bx)dx

Answer:

9,000

Step-by-step explanation:

its in the thousands place

Answer:

3 » Millions

7 » Hundred thousands

2 » Ten thousands

\({ \boxed{ \bf{9 \: \dashrightarrow \: thousands}}}\)

7 » Hundreds

6 » Tens

0 » Ones

\({ \underline{ \mathfrak{ \green{Good \: grace}} \: \:⚜ \: \: { \blue{ \mathfrak{Good \: God}}}}}\)

Answer:

y = \(\sqrt{55}\)

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(altitude)² = product of parts of hypotenuse

then

y² = 11 × 5 = 55 ( take square root of both sides )

y = \(\sqrt{55}\)

The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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Answer:

20

Step-by-step explanation:

20+20=40

Answer:

She received $20 bucks

Step-by-step explanation:

20+20=40

The equation of circle is x² + y² = 36.

We have,

Center= (0, 0)

Passing point = (0, 6)

We know the equation of circle is

(x-h)² + (y-k)² = r²

where (h, k) be the center and r be the radius.

Now, the radius of circle is

= √(6-0)² + (0-0)²

= √36

= 6 unit

So, the equation of circle

(x-0)² + (y-0)² = 6²

x² + y² = 36

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The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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The amount of interest paid will be $396.6.

The simple interest is the simple amount paid by the borrower to the bank according to the percentage set by the bank for per year which is a fixed interest rate.

Given that Margo takes out a $600 loan with a 10-month repayment period and a 2% yearly interest rate.

The simple interest will be calculated as:-

SI = ( P x R x T ) / 100

SI = ( 1100 x 9 x 4 ) / 100

SI = 39600 / 100

SI = $396

Therefore, $396 will be paid in interest.

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Answer:

\(\displaystyle \frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Step-by-step explanation:

This can be solved with either the washer (easier) or the shell method (harder). For the disk/washer method, the slice is perpendicular to the axis of revolution, whereas, for the shell method, the slice is parallel to the axis of revolution.  I'll show how to do it with both:

Shell Method (Horizontal Axis)

\(\displaystyle V=2\pi\int^d_cr(y)h(y)\,dy\)

Radius: \(r(y)=2-y\) (distance from y=2 to x-axis)

Height: \(h(y)=2-(-\ln y)=2+\ln y\) (\(y=e^{-x}\) is the same as \(x=-\ln y\))

Bounds: \([c,d]=[e^{-2},1]\) (plugging x-bounds in gets you this)

Plugging in our integral, we get:

\(\displaystyle V=2\pi\int^1_{e^{-2}}(2-y)(2+\ln y)\,dy=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Washer Method (Parallel to x-axis)

\(\displaystyle V=\pi\int^b_a\biggr(R(x)^2-r(x)^2\biggr)\,dx\)

Outer Radius: \(R(x)=2-e^{-x}\) (distance between \(y=2\) and \(y=e^{-x}\))

Inner Radius: \(r(x)=2-1=1\) (distance between \(y=2\) and \(y=1\))

Bounds: \([a,b]=[0,2]\)

Plugging in our integral, we get:

\(\displaystyle V=\pi\int^2_0\biggr((2-e^{-x})^2-1^2\biggr)\,dx\\\\V=\pi\int^2_0\biggr((4-4e^{-x}+e^{-2x})-1\biggr)\,dx\\\\V=\pi\int^2_0(3-4e^{-x}+e^{-2x})\,dx\\\\V=\pi\biggr(3x+4e^{-x}-\frac{1}{2}e^{-2x}\biggr)\biggr|^2_0\\\\V=\pi\biggr[\biggr(3(2)+4e^{-2}-\frac{1}{2}e^{-2(2)}\biggr)-\biggr(3(0)+4e^{-0}-\frac{1}{2}e^{-2(0)}\biggr)\biggr]\\\\V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\biggr(4-\frac{1}{2}\biggr)\biggr]\)

\(\displaystyle V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\frac{7}{2}\biggr]\\\\V=\pi\biggr(\frac{5}{2}+4e^{-2}-\frac{1}{2}e^{-4}\biggr)\\\\V=\pi\biggr(\frac{5}{2}+\frac{4}{e^2}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4}{2e^4}+\frac{8e^2}{2e^4}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4+8e^2-1}{2e^4}\biggr)\\\\V=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Use your best judgment when deciding on what method you use when visualizing the solid, but I hope this helped!

Answer:

160 liters of 25%, 20 liters of 40%, 60 liters of 60%

Step-by-step explanation:

x + y + z = 240

0.25x + 0.4y + 0.6z = 0.35*240 = 84

z = 3y

x = 160

y = 20

z = 60

The length of the side using cosine rule and approximating to a whole number gives 23

The law of cosines is used to find the missing parts of an oblique triangle when either the two-sided measurements and the included angle measure are known (SAS) or the lengths of the three sides (SSS) are known.

This is expressed as;

b² = a² + c² - 2ac cos b

Plugging in the relevant values gives;

b² = 28² + 41² - 2(28 * 41) cos 32

b² = 2465 - 1947.118

b² = 517.882

b = √517.882

b = 22.757 ≈ 23

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Answer:

21 because I serch it up I believe

Answer:

1.5 hours

Step-by-step explanation:

Number of miles = 25 miles

Average speed = 7.4 miles per hour

Break after 13.9 miles

How many more hours does he run

Speed = distance / time

Total time for 25 miles :

Time = distance / speed

Time = 25 / 7.4

Time = 3.378 hours

Total time to cover 13.9 miles :

Time = 13.9 / 7.4

Time = 3.378 hours

Time = 1.878 hours

Difference = (3.378 - 1.878) hours = 1.5 hours

Hence, he to ran for 1.5 hours after taking a break

The total time required for the 25 miles run is 3.378 hours and he will run for 1.5 hours after the break.

Given information:

Roberto runs 25 miles.

The average speed is 7.4 miles per hour.

He takes a break after 13.9 miles.

Now, speed is defined as the ratio of distance and time.

So, the time taken by him to run first 13.9 miles will be,

\(s=\dfrac{d}{t}\\7.4=\dfrac{13.9}{t_1}\\t_1=1.878\)

So, he ran for 1.878 hours to cover 13.9 miles.

Now, the total time of the 25 miles run will be,

\(T=\dfrac{25}{7.4}\\T=3.378\)

So, the total time of the run is 3.378 hours.

After the break, he will run for 3.378-1.878 hours = 1.5 hours.

Therefore, the total time required for the 25 miles run is 3.378 hours and he will run for 1.5 hours after the break.

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A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.

Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.

Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.

Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of

To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).

First, let's convert the fractions 1/5 and 2/3 to fifteenths:

\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)

\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)

Now we can rewrite the expression using the common denominator:

\(3 + \frac{3}{15}+\frac{10}{15}\)

Answer: \(16x^2\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

There is nothing in this diagram to suggest any particular values for x and y.

__

If we assume the figure is intended to be a kite, symmetrical about its horizontal diagonal, then each segment is congruent to the one above it.

  x = 12

  y = 20

If probability distribution for a stock probability outcome is 5, 6 ,5 ,18, 1.

a) The expected return is 1.56

b) The standard deviation is 5.1715  

c) The coefficient of variation is 331.25%.

To calculate the expected return, we multiply each possible outcome by its probability and then sum the results. For example, the expected return from a 5% return is calculated as 0.5 x 5%, or 0.025. We do this for each possible outcome and then sum the results to get the expected return for the investment.

In this case, the expected return is 1.56, which means that over the long run, we can expect to earn an average return of 1.56% on this investment.

The standard deviation is a measure of how much the possible outcomes of an investment vary from the expected return. A higher standard deviation means that the possible returns are more spread out, while a lower standard deviation means that the possible returns are more tightly clustered around the expected return.

To calculate the standard deviation, we first need to calculate the variance, which is the average of the squared deviations from the expected return.

To calculate the variance, we first calculate the deviation of each possible outcome from the expected return. For example, the deviation of a 5% return from the expected return of 1.56% is 5% - 1.56% = 3.44%.

We then square each deviation and multiply it by the probability of that outcome. We do this for each possible outcome, and then sum the results to get the variance. In this case, the variance is 26.7424, which means that the possible returns are quite spread out.

The coefficient of variation is a measure of the risk per unit of return. It is calculated by dividing the standard deviation by the expected return and then multiplying by 100% to get a percentage. In this case, the coefficient of variation is 331.25%, which means that the investment is quite risky relative to its expected return.

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The equation of the possible way to begin solving for x is 2/5x - 7/20x = 3/4 - 1/2

From the question, we have the following parameters that can be used in our computation:

-3/4 + 2/5x = 7/20x -1/2

The first step is to collect the like terms

So, we have

2/5x - 7/20x = 3/4 - 1/2

This represents an equation of the possible way to begin solving for x

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The cost of the two shipping options be the same when B. a package that weighs 7 pounds will cost $17 for both options.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

The cost, y, can be represented by the equation: y = 3 + 2x,

x = the amount of pounds of the package

Another option is that the customer can pay a one-time fee of $17 to send the box, represented by the equation y = 17.

The equation will be equated together.This will be:

3 + 2x = 17

Collect like terms

2x = 17 - 3

2x = 14

Divide

x = 14 / 2

x = 7

The weight is 7 pounds.

In conclusion, the correct option is B.

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Answer:

330

Step-by-step explanation:

11

C

4

We use formula n! /((n-r)!r!)

11!/((11-4)!4!)

11!/((7!)(4!))

11x10x9x8x7!/(7!)(4!)

11x10x9x8/(4!)

11x10x72/24

11x10x3

330

Therefore number of ways =330

Answer:

Is 35.5

Step-by-step explanation:

Pls give brainliest

Answer:

35.5 Lbs.

Step-by-step explanation:

You would just take 142 and divide that by 4 and you will get the weight of 1 bag. It would be 35.5 pounds.

Answer:

C and D

Step-by-step explanation:

hope it helps

Answer:

4/5 or 0.8 or 80%

Step-by-step explanation:

The probability of choosing a student who play only one sport is 0.8

We have a class of 40 students, 19 play tennis, 20 play netball and 8 play both. A student is randomly chosen from the class.

We have to find the probability that the student plays one and only one of those sports.

The formula to calculate the probability of the event 'A' is -

P(A) = \(\frac{Total\;no.\;of\;favorable\;outcomes}{Total\;no.\;of\;outcomes} = \frac{n(A)}{n(S)}\)

Let 'A' be the event representing the probability of choosing a student who play both sports.

According to question -

n ( S ) = 40 students

n ( A ) = 8

P ( A ) = \(\frac{n (A)}{n (S)}\)

We know that -

P ( A ) + P ( A' ) = 1

P ( A' ) = 1 - P ( A )

where P ( A' ) represents the probability of choosing a student who does not play both sports.

P ( A' ) = 1 - \(\frac{n (A)}{n (S)}\) = 1 - \(\frac{8}{40}\) = 1 - 0.2 = 0.8

Hence, the probability of choosing a student who play only one sport is 0.8

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Answer:

Step-by-step explanation:

I do know give me brainliest first

Answer:

24 gift bags

Step-by-step explanation:

Well first the question says to find the GCF and you find that by finding prime factors in each number. Then you would want to subtract 96-72 and get the answer of 24 so you would be able to make 24 gift bags. Hope this helps!!

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The inequality value that would be able to show/x/ ≤ 5 is option A

In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.

The symbol that we have  is telling us that the value of the x would be less than  or it would be seen to be equal to five.

We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A

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Considering the given figure the value of the angles are as follows

information given in the problem

ΔABC is isosceles with vertex B,

ΔEBD is isosceles with vertex B,

< ABE ≅ CBD, < BED = 57, < BAE = 38

Isosceles triangle are triangle that two sides and the two base angles equal

This means that

< BED + < EBD + < BDE = 180 (sum of angles in a triangle)

< EBD + 57 + 57 = 180

< EBD = 180 - 57 - 57

< EBD = 66 degrees

< ABC + < BAC + < BCA = 180 (sum of angles in a triangle)

< ABC + 38 + 38 = 180

< ABC = 180 - 38 - 38

< ABC = 104 degrees

< ABC = < ABE  + < CBD + < EBD

and < ABE ≅ < CBD (given)

say x = < ABE ≅ < CBD

104 = x + x  + 66 (adjacent angles)

104 - 66 = 2x

2x = 38

x = 19 degrees

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Answer:

A) -10x - 24

Step-by-step explanation:

1. To simplify this expression, we apply the distributive property.

Therefore, the answer is A) -10x - 24.

Answer:

A) -10x-24

Step-by-step explanation:

\(-6(\frac{5}{3} x+4)=-6\times\frac{5}{3} x+4\times(-6)=-10x-24\)

\(a(b+c)=ab+ac\)

Answer:

c. 20%

Step-by-step explanation:

3/15=1/5

1 divided by 5 = .2

Move decimal point 2 times to get percent.

20%

The equation, 15(2x + 3) + 100 = 110 - 5x, is solved to find the value of x by applying the properties of equality as explained below.

We can solve the equation, 15(2x + 3) + 100 = 110 - 5x, by applying the appropriate property of equality to isolate the variable x to one side of the equation.

Therefore, the steps to solving the equation is explained below:

15(2x + 3) + 100 = 110 - 5x [given]

30x + 45 + 100 = 110 - 5x [distribute]

30x + 145 = 110 - 5x [combine like terms]

Add 5x to both sides of the equation

30x + 145 + 5x = 110 - 5x + 5x

35x + 145 = 110 [addition property]

Subtract 145 from both sides

35x + 145 - 145 = 110 - 145

35x = -35  [subtraction property]

Divide both sides by 35

35x/35 = -35/35

x = -1  [division [property]

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The value of 5/9x - 2/3y + xy when x = 3/5 and y = 1/2 is 3/10

We need to evaluate the expression

5/9x - 2/3y + xy

x = 3/5 and y = 1/2

(5/9)(3/5) - (2/3)(1/2) + (3/5)(1/2)

(15/45) - (2/6) + (3/10)

1/3 - 1/3 + 3/10

= 3/10

Therefore, the value of 5/9x - 2/3y + xy when x = 3/5 and y = 1/2 is 3/10

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