evaluate it..........​

Evaluate It..........

Answers

Answer 1

Answer:

the answer is [tex]\frac{1}{41} (23x-2ln(5sinx+4cosx))[/tex]

Step-by-step explanation:

[tex]\int {\frac{3sinx+2cosx}{5sinx+4cosx} } \, dx[/tex]

here,

a=3, b=2, c=5, d=4

[tex]M=\frac{ac+bd}{c^2+d^2 }=\frac{3*5+2*4}{5^2+4^2}=\frac{23}{41}[/tex]

[tex]N=\frac{bc-ad}{c^2+d^2 }=\frac{2*5-3*4}{5^2+4^2}=\frac{-2}{41}[/tex]

[tex]\int {\frac{3sinx+2cosx}{5sinx+4cosx} } \, dx=\int{\frac{\frac{23}{41}(5sinx+4cosx)-\frac{2}{41}(5cosx-4sinx) }{5sinx+4cosx} }\,dx[/tex]

[tex]=\frac{23}{41}\int\, dx -\frac{2}{41} \int{\frac{5cosx-4sinx}{5sinx+4cosx} }\, dx[/tex]

[tex]=\frac{1}{41} (23x-2ln(5sinx+4cosx))[/tex]

pls mark it as the brainliest


Related Questions

line q passes through points (10, 6) and (1, 2). Line r is perpendicular to q. What is the slope of line r?

Answers

Answer:

slope of r = -9/4

slope of Q =     4/9  

Step-by-step explanation:

x1 y1  x2 y2

10 6  1 2

   

(Y2-Y1) (2)-(6)=   -4  ΔY -4

(X2-X1) (1)-(10)=    -9  ΔX -9

   

slope=   4/9    

Greg can complete a landscaping job in six days and Jeff can complete the same job in four days. Working together, and how many days could they complete the job?

Answers

Answer:

2.4 days

Step-by-step explanation:

they could complete the job in :

(6×4)/(6+4) = 24/10 = 2.4 days

Greg can complete work=6days=aJeff can complete the job=4days=bBoth can complete in

[tex]\\ \rm\longmapsto \dfrac{ab}{a+b}[/tex]

[tex]\\ \rm\longmapsto \dfrac{6(4)}{6+4}[/tex]

[tex]\\ \rm\longmapsto \dfrac{24}{10}[/tex]

[tex]\\ \rm\longmapsto 2.4days[/tex]

hey please help i’ll give brain

Answers

Answer:

14 is the correct answer. It is just the inverse of 5+9 but it equals the same

Step-by-step explanation:

It’s 14, it’s just inverse operation

one half of a number plus 7

Answers

Answer:

1/2n + 7

n =  unkown number

Step-by-step explanation:

Answer:

1/2(x) + 7

Step-by-step explanation:

x= unknown number

The sum of the angle measures of a quadrilateral is 360°. Write and solve an equation to find the value of x.

Answers

Answer:

x = 70

Step-by-step explanation:

The sum of the angle measures of a quadrilateral is 360°

76 + 92 + 122 + x = 360

168 + 122  + x = 360

290  + x = 360

x = 360 - 290

x = 70

You can ever CROSS-CHECK

76 + 92 + 122 + 70

290  + 70

= 360

thus cross-checked

. If 26039 apples aré shared equally among 13 boys. How many does each boy receive? ​

Answers

Answer:

2003 apples for each boy

Answer:

26o39÷3 =2,003

therefore; each boy gets 2,003 apples

A design for a banner includes a striped background. The stripes are colored in the repeating order: yellow, blue, orange, green, and purple. What calor is the 37th stripe?

Answers

Answer:

purple.orang.blue.yellow and green

purple.orang.blue.yellow and green

what is cos 0 when sin 0 = 2/5

Answers

Answer:

cos 0 = 1

.................

Please help explanation if possible

Answers

Answer:

x=-2 y=3

Step-by-step explanation:

you should multiple second equation by -5 and collect all terms then put -2 from x

The answer to this equation is 3

Reduce the fraction 21 /35

Answers

Answer:

3/5

Step-by-step explanation:

21/35

Divide both the top and bottom by 7

21/7 = 3

35/7 = 5

3/5

Answer:

3/5

Step-by-step explanation:

Find gcf for 21 and 35….7

Divide both by 7…. 3 and 5

Arrange 3 as numerator and 5 as denominator….3/5

4 1/6 = 3 1/3c

WAHT?!? HOW IN THE WORLD DO YOU EVEN DO THIS?!?

Answers

Answer:

1 1/4 =c

Step-by-step explanation:

4 1/6 = 3 1/3c

Change the mixed numbers to improper numbers

4 1/6 = ( 6*4+1)/6 =25/6

3 1/3 = ( 3*3+1)/3 = 10/3

25/6 = 10/3c

Multiply each side by 3/10

25/6 * 3/10 = 10/3c * 3/10

3/6 * 25/10 = c

1/2 * 5/2 =c

5/4 =c

Change back to a mixed number

1 1/4 =c

please help easy maths

Answers

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The y intercept occurs when x = 0.

All you have to do is read the table until you come to x = 0.

When you do, read down to get the y value.

The answer is A (0,2)

PLS HELP MEEEEE I HAVW TO SUBMIT THIS SOON

Answers

Answer:

(100×m) + d

where m is the month number of your birthday

and d is the day number of your birthday

Step-by-step explanation:

[(((m × 4) + 14) × 25) - 230] + d - 120

》[((4m + 14) × 25) - 230] + d - 120

》100m + 350 - 230 -120 + d

》100m + d

Question 1
A factory has to transport raw materials to a project site. The total weight of the raw material will not be less than 1,500 tons. The factory manager plans
to use two different trucking firms, Big Red has heavy duty trucks that can transport 200 tons at a cost of $50 per truckload. Common Joe is a more
economical firm, costing only $20 per load, but its trucks can transport only 90 tons. The factory manager does not wish to spend more than $450 on
transportation. The availability of trucks is the same for both firms.
Part A
What inequality will show the number of trucks used to transport the required raw material? Replace the inequality sign with the equal sign. Go to
your math tools and open the Graph tool to graph the resulting equation and paste it into the box below. Describe which part of the graph should
be shaded and whether the line should be dashed or not.

Answers

Answer:

simple answer

Step-by-step explanation:

3 If 5 is added to the difference of 3 times of 4 and 7 then find the number.​

Answers

Answer: 10

Concept:

There are few vocabularies that describe each operation:

Addition: added to, the sum of, plusSubtraction: subtracted from, the difference of, minusMultiplication: multiplied with, the product of, timesDivision: divided by, the quotient of, divide

Refer to the list above to answer the question

Solve:

Given worded expression

5 is added to the difference of 3 times of 4 and 7

Convert to numerical expression

3 × 4 - 7 + 5

Simplify by multiplication

=12 - 7 + 5

Simplify by addition/subtraction

=5 + 5

=[tex]\boxed{10}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Please help me find the value of “ find the value m

Answers

Answer:

Add those angles together. PQT is the sum of the angles PQS and SQT

3x+13+6x-2

add like terms

9x-11

angle PQT is equal to 9x-11.

Step-by-step explanation:

(1)
What is the interest on Rs.1880.90 for one year at simple
interest 5 1/2
%?

Answers

Formula for simple interest = total = start value x ( 1 + interest rate x time)

Total = 1880.90 x ( 1 + 0.055 x 1)

Total = 1,984.35

Interest = total - starting amount

Interest = 1984.35-1880.90 = 103.45

Interest: £103.45

Answer:

Given :-

Perimeter = 1880.9

Time = 1 years

Rate = 5 (½) years

To Find :-

Interest

Solution :-

SI = PRT/100

5½ = 11/2 %

» SI = 1880.9 × 11 × 1/2 × 100

» SI = 1880.9 × 11/200

» SI = 103.4

Is there any value(s) of the domain of x^2+ y^2=8 that passes the vertical line test? If so, name the value(s) and state whether or not the existence of this value makes this relation a function. You can use Desmos to help you explore this idea, if needed.

Answers

Answer:

below

Step-by-step explanation:

First we need to find the domain.

x^2+ y^2 = 8

√x^2 + √y^2 = √8

x + y = ±2√2

So the domain is ±2√2. If you graph the circle you will see that it will in fact fail the vertical line test, mainly because its a circle. If you graph the domain onto the circle, you will see that it will have an affect on it being a relation. A graph will be shown below for a better reference. Keep in mind that ±2.828 is the decimal form of ±2√2.

Best of Luck!

8 216 899 (nearest million)​

Answers

Answer:

8 milliom

Step-by-step explanation:

its ez

8 million is the nearest

2x+7y=-6
4x-y=18\
show step by step how it is solved

Answers

Answer: (60/13, 6/13)

Concept:

There are three general ways to solve systems of equations:

Elimination SubstitutionGraphing

Here, we are going to use elimination since all the variables are in the corresponding position.

Solve:

Given

[tex]\left \{ {{2x+7y=-6} \atop {4x - y=18}} \right.[/tex]

Multiply the first equation in order to eliminate [x]

[tex]\left \{ {{4x + 14y = -12} \atop {4x - y = 18}} \right.[/tex]

Subtract the second equation from the first equation to eliminate [x]

[tex]14y-y=-12+18[/tex]

[tex]13y=6[/tex]

Divide 13 on both sides

[tex]13y/13=6/13[/tex]

[tex]\boxed{y=\frac{6}{13} }[/tex]

Substitute [y] value in order to get [x] value

4x - y = 18

4x - 6/13 = 18

4x = 18 + 6/13

4x = 240/13

[tex]\boxed{x=\frac{60}{13} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Intersection of 2 lines form a

Answers

Answer:

i believe that`s called a linear pair. the opposite sides of the lines create matching angles.

350 rounded to the nearest hundred is

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{350 rounded to the nearest hundred is...}[/tex]

[tex]\huge\text{Rounding is basically is the}\\\huge\text{approximation of the given number.}[/tex]

[tex]\huge\bullet\huge\text{ So, when you are looking at 350, you are}\\\huge\text{asking yourself is it closer to 300 or 400.}\\\huge\text{If you are looking at the number correctly}\\\huge\text{you would see it is closer to \underline{\underline{400}} when you}\\\huge\text{rounded to NEAREST HUNDRED.}[/tex]

[tex]\huge\boxed{\textsf{Therefore, your ANSWER/RESULT is: \bf 400}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

You work at McDonalds making $12 per hour, this week you are scheduled to work
4:30pm - 10pm Wednesday - Saturday. How much will your gross pay be for the WEEK?
(you are on the clock the entire shift)

Answers

Answer:

7$

Step-by-step explanation:

The wood on the back deck of a house needs waterproofing. The shape of the deck
is a rectangle with the length of 40 feet and a width of 3 yards. A gallon can of
waterproof stain covers 50 square feet and costs $19.99 per can plus 8% sales tax.
You go to the hardware store to purchase the waterproof stain needed to complete
the job. You give the cashier $150. How much change do you receive, or how much
additional cash must you find in order to be able to pay for all of the stain you need?
You must show all calculations.
Area of Rectangle = length X width
You cannot split up a can of stain.
You must show all calculations.

Answers

Dimensions of a rectangular deck = [tex]40[/tex] feet by [tex]3[/tex] yards

Width of the deck is in yards, so convert it into feet.

Since, [tex]\frac{1}{3}[/tex] yards = 1 foot

Therefore, 1 yard = [tex]3[/tex] feet

And [tex]3[/tex] yards = [tex]3\times 3[/tex] feet

                    = [tex]9[/tex] feet

Therefore, dimensions of the rectangular deck = [tex]40[/tex] feet by [tex]9[/tex] feet

Area of the deck = Length × Width

                            = [tex]40\times 9[/tex]

                            = [tex]360[/tex] square feet

∵ [tex]50[/tex] square feet of deck is stained by number of cans = 1

∴ 1 square feet will be stained by number of cans = [tex]\frac{1}{50}[/tex]

∴ [tex]360[/tex] square feet will be stained by cans = [tex]\frac{360}{50}[/tex] = [tex]7.2[/tex]

We can not purchase can in fractions or parts.

Therefore, number of cans to be purchased = [tex]8[/tex]

Cost of waterproof stain per can = $[tex]19.99[/tex] plus [tex]8[/tex]% sales tax

Therefore, actual cost of 1 can to be paid for the waterproof stain

= [tex](19.99 + 19.99\times \frac{8}{100})[/tex]

= [tex]19.99+1.5992[/tex]

= $[tex]21.5892[/tex]

Cost of [tex]8[/tex] cans = [tex]21.5892\times 8[/tex]

                         = $[tex]172.71[/tex]

I have paid $[tex]150[/tex] to the cashier.

Therefore, additional money to be paid = [tex]172.71-150[/tex]

                                                                  = $[tex]22.71[/tex]

Learn more,

https://brainly.com/question/17424783

Can someone help me with this?​

Answers

Answer:

Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms

Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728

Now,

[tex]Sum = \frac{a( {r}^{n} - 1) }{(r - 1)} \\ [/tex]

So,

[tex] \frac{a( {r}^{n} - 1)}{(r - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{(3 - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{2} = 728 \\ {3}^{n} - 1 = 728 \\ {3}^{n}=728+1\\ {3}^{n} = 729 \\ {3}^{n} = {3}^{6} \\ \boxed{ n = 6}[/tex]

Therefore, number of terms is 6

6 is the right answer.

Its a GP given by 2+6+18

First term=a=2

Common ratio=r=

[tex]\\ \bull\tt\looparrowright \dfrac{6}{2}=3[/tex]

Now

[tex]\\ \bull\tt\looparrowright S_n=728[/tex]

[tex]\\ \bull\tt\looparrowright \dfrac{a(r^n-1)}{r-1}=728[/tex]

[tex]\\ \bull\tt\looparrowright \dfrac{2(3^n-1)}{3-1}=728[/tex]

[tex]\\ \bull\tt\looparrowright \dfrac{2(3^n-1)}{2}=728[/tex]

Cancel 2

[tex]\\ \bull\tt\looparrowright 3^n-1=728[/tex]

[tex]\\ \bull\tt\looparrowright 3^n=728+1[/tex]

[tex]\\ \bull\tt\looparrowright 3^n=729[/tex]

[tex]\\ \bull\tt\looparrowright 3^n=3^6[/tex]

[tex]\\ \bull\tt\looparrowright n=6[/tex]

Convert 5420 into base five numeral​

Answers

i think its the answer

what is the length of the diameter ?

Answers

Answer:

you can measure it in ruler

Is 4.357216436 rational

Answers

Answer: It is a rational number.

Step-by-step explanation: Because rational numbers can also be terminating decimals.

Jade, May and Nel are saving money in a bank account. May has saved €5 more than Jade. Nel has saved twice
as much as May. The three of them have saved €115 in total. How much did each of them save? (Assume that
Jade saved €x)

Answers

Answer:

Money saved by Jade = € 25

Money saved by  May =   € 30

Money saved by Nel  = € 60

Step-by-step explanation:

Money saved by Jade = € x

Money saved by  May = x + 5

Money saved by Nel = 2* (x + 5) = 2*x + 2*5 = 2x + 10

Total = € 115

x + x + 5 + 2x + 10 = 115

x  + x + 2x + 5 + 10 = 115

Combine like terms

4x + 15 = 115

Subtract 15 from both sides

4x = 115 - 15

4x = 100

Divide both sides by 4

x = 100/4

x = € 25

Money saved by Jade = € 25

Money saved by  May = 25+ 5 = € 30

Money saved by Nel = 2*25 + 10 = 50 + 10 = € 60

Answer:

Jade=€25

May=€30

Nel=€60

Step-by-step explanation:

Since Nel has 2 units, May has one and you do not know Jane but it is only €5 less, you want to plus 5 to make Jane have one unit like May, so:

115+5=120 (4 units)

120 divide 4= 30 (1 unit)

Jade=30-5=€25

May=€30

Nel=30x2=€60

Hope this helps! Thanks.

Is the difference of a rational number and an irrational number always irrational? Explain.

Answers

Answer:

Step-by-step explanation:

Yes, the irrational number stays irrational.

Make the assumption that this statement is false and that a rational and an irrational can produce a rational. x is irrational. Assume that a, b, c, and d are all integers.  If you like, they can be relatively prime to each other.

a/b + x = c/d                   Subtract a/b from both sides.

x = c/d - a/b                    Now put the 2 fractions over a common denominator.

x = (c*b - d*a)/(b*d)         Investigate what you have.

b*d are two integers multiplied together. multiplication of integers is closed (the answer will be an integer).

cb and da are also integers. subtracted integers are also closed under subtraction.

But

Here's the kicker. An irrational number is one that cannot be expressed as a fraction. Sqrt(2) for example cannot be shown to be rational. There is no fraction that equals sqrt(2)

So our proof is "bogus." It cannot work. An irrational number excludes the possibility of being able to be represented by a fraction by definition.

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