help me: [tex]\int\limits^\pi _0 sin({x}) \, dx[/tex]

Answers

Answer 1

Answer:

[tex]\int^{\pi}_{0}sin(x)dx = 2[/tex]

Step-by-step explanation:

To solve for the value of [tex]\int^{\pi}_{0}sin(x)dx[/tex], we need to first find the antiderivative of [tex]sin(x)[/tex].

Since the derivative of [tex]cos(x)[/tex] is [tex]-sin(x)[/tex], therefore the derivative of [tex]-cos(x)[/tex] is [tex]sin(x)[/tex]. With this:

[tex]\int^{\pi}_{0}sin(x)dx = -cos(\pi)-(-cos(0))[/tex]

[tex]=-cos(\pi)+cos(0)[/tex]

[tex]=-(-1)+1[/tex]

[tex]=2[/tex]

∴ [tex]\int^{\pi}_{0}sin(x)dx = 2[/tex]

Hope this helps :)


Related Questions

Plz someone help I beggggg

Answers

Answer:

25100 i believe  would be the answer

Step-by-step explanation:

Order the set of integers from greatest to least.{-8, 32, 55, -32, -19, -3}

Answers

Answer:

55,32,-3,-8,-19,-32

Step-by-step explanation:

55, 32, -3, -8, -19, -32

Sovle for x !!!!!!!!

Answers

Answer: A -11

Step-by-step explanation: trust me

is 3x+11/x-4 = 4/x(x-4)​

Answers

Answer:

x= -5

Step-by-step explanation:

6.2yd
15.7yd
8.5yd
what is the volume of the triangluar prism

Answers

Answer:

6.2 yards

Step-by-step explanation:

At the beginning of each quarter, $100 is deposited into a saving account that pays 12% compounded monthly.
Find the future value (compound amount) of annuity for two years.​

Answers

Answer:

12×12=144

2years=144/12×100

2years=$120

Step-by-step explanation:

What is the radius of the base of the cylinder below?

A cylinder with height of 36 inches and diameter of 42 inches.

inches

Answers

Answer:

21

Step-by-step explanation:

WILL GIVE BRAINLIEST!!

Which statement describes the transformation of M to circle N?
A. The circle was translated down 5 units and dilated by a factor of 1/2
B.The circle was translated down in 1 unit and dilated by a factor of 2
C. The circle was translated down 5 units in dilated by factor of 1/3
D. The circle was translated down in 1 unit and dilated by a factor of 3

Answers

Answer:

C. The circle was translated down 5 units in dilated by factor of 1/3

Step-by-step explanation:

The circle was translated down 5 units in dilated by factor of 1/3

Answer:

C

Step-by-step explanation:

Ashley had a summer lemonade stand where she sold small cups of lemonade f
or $1.25 and large
cups for $2.50. If Ashley sold a total of
155 cups of lemonade for $265, how ma
ny cups of each
type did she sell?​

Answers

Answer:

$267.7

Step-by-step explanation:

57 large cups and 98 small cups
98x1.25=122.5
57x2.50=142.5
122.5+142.5=265

A bakery sells 5 muffins for every 6 cookies it sells. Complete the table to show the relationship between the number of muffins and cookies the bakery sells. Enter a number in each box

Answers

Answer:

24 cookies

25 muffins

96 cookies

I have the same question 73737 it’s not the answer I just need the answer for this

Consider the equation below.
log.(x+3) = log2 (2+x)
Which system of equations can represent the equation?

Answers

Answer:

Option (1)

Step-by-step explanation:

[tex]\text{log}_4(x + 3)=\text{log}_2(2 + x)[/tex]

[tex]\text{log}_4(x + 3)=\frac{\text{log}_{10}(x+3)}{\text{log}_{10}4}[/tex]

[tex]\text{log}_2(2 + x)=\frac{\text{log}_{10}(2+x)}{\text{log}_{10}2}[/tex]

System of equations can be written as,

[tex]y_1=\text{log}_4(x + 3)=\frac{\text{log}_{10}(x+3)}{\text{log}_{10}4}[/tex]

[tex]y_2=\text{log}_2(2 + x)=\frac{\text{log}_{10}(2+x)}{\text{log}_{10}2}[/tex]

Therefore, system of equations given in Option (1) is the correct option.

Answer:

Option (A)

Step-by-step explanation:

Good Luck on your test

pls help this is due today!!! if correct I'll make Brainliest!!!!​

Answers

1= 1/8

2= 4/8

3= 2/8

Step-by-step explanation:

The probablity would be 3/4

Each of the quadrilaterals noted below has two pairs of parallel sides as one of its properties except the ______.

A. Square
B. Rectangle
C. Trapezoid
D. Parallelogram

Answers

Trapezoid is the correct answer :) good luck

Trapezoid is the quadrilateral with only one pair of opposite parallel sides.

What is Quadrilateral?

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles.

Given that, each of the quadrilaterals noted below has two pairs of parallel sides as one of its properties.

Trapezoid is a quadrilateral having base angles equal and one pair of opposite sides are parallel.

Hence, the correct option is Trapezoid.

For more references on Quadrilateral, click;

https://brainly.com/question/13805601

#SPJ2

Solve for x and all the missing angles.
(-11+3y)
(34+Y)
(37+y)°

Answers

Answer:

y=24; Angle 1: 61 degrees; Angle 2: 58 degrees; Angle 3: 61 degrees

Step-by-step explanation:

-11+3y+34+y+37+y=180   The sum of all the angles in a triangle is 180 degrees.

60+5y=180  Combine like terms

5y=120  Subtract 60 from 180

y=24   Divide 120/5

Angle 1: -11+ 3(24)= 61 degrees

Angle 2: 34+24=58 degrees

Angle 3: 37 + 24= 61 degrees

The students at Victor's school voted for a new school color. 198 students voted for purple. If
there are 225 students in Victor's school, what percentage of the students voted for purple?

Answers

Answer:

88%.

Step-by-step explanation:

To calculate percentage: (198 × 100) ÷ 225

This equals 19800 ÷ 225, which is 88%.

Answer:

88%

Step-by-step explanation:

198/225

=0•88

0•88×100

=88%

simplify (y + 1)^5y + 1)^3​

Answers

Note: Your expression sounds a little unclear, so I am assuming your expression is

[tex]\left(y\:+\:1\right)^5\times \left(y\:+\:1\right)^3[/tex]

But, the procedure to solve the expressions involving exponents remains the same, so whatever the expression is, you may be able to get your concept clear.

In the end, I will solve both expressions.

Answer:

Please check the explanation

Step-by-step explanation:

Given the expression

[tex]\left(y\:+\:1\right)^5\times \left(y\:+\:1\right)^3[/tex]

solving the expression

[tex]\left(y\:+\:1\right)^5\times \left(y\:+\:1\right)^3[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\times \:a^c=a^{b+c}[/tex]

[tex]\left(y+1\right)^5\left(y+1\right)^3=\left(y+1\right)^{5+3}[/tex]

                          [tex]=\left(y+1\right)^8[/tex]

Therefore, we conclude that:

[tex]\left(y\:+\:1\right)^5\times \left(y\:+\:1\right)^3=\left(y+1\right)^8[/tex]

IF YOUR EXPRESSION IS THIS

                       ↓

[tex]\left(y\:+\:1\right)^{\left(5y+1\right)^3}[/tex]

solving the expression

as

[tex]\left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3[/tex]

so

[tex]\left(5y+1\right)^3=125y^3+75y^2+15y+1[/tex]

               [tex]=125y^3+75y^2+15y+1[/tex]

Thus, the expression becomes

[tex]\left(y+1\right)^{\left(5y+1\right)^3}=\left(y+1\right)^{125y^3+75y^2+15y+1}[/tex]

Please answer quickly, thanks. :) 35 points and if you answer there are more so you can get 250 points

Answers

Answer:

11 cars/day

Step-by-step explanation:

What we know:

After two days, Car-Mart has 43 cars left. After 3 days, it is 32. After five, 10 cars.

Saying that, subtract 32 from 43 to get your rate of 11 cars sold a day.

I can further deduce they started with 76 cars. On day 1 they had 65 cars. On day 4 they had 21 cars. They will have sold all of their cars after day 6.

As a lifeguard, Sara earns a base pay of $80 per day. If her day involves swim instruction, Sara earns an additional $9 per hour, where t represents the number of hours she gives instruction.

Part A: Write an expression to represent how much money Sara earns in a day

Part B: Evaluate your expression to determine how much money Sara earns if she does 7 hours of swim instruction​

Answers

Answer:

Part A:   y = 9t + 80

Part B:   $143

Step-by-step explanation:

When solving this question all we need to keep in mind is the fact that if Sarah will not give swim instructions she will get $80 dollars just because she was there as a lifeguard. Then lets think about what will happen when she will work "t" hours? Well, she will get $80 for just being there as a life guard and then on top of that she will get $9t (because she gets $9 every hour she gives instructions). So just now we made an equation that we can use to express how much money Sara earns a day. It can be written mathematically as the following......

Let "y" be the among of money Sara will get paid at the end of the day. then...

y = 9t + 80

In order to answer Part B of this question we will just have to plug 7 instead of "t" into he expression that we made in part A. And so we get .......

y = 9t + 80

y = (9)(7) + 80

y = 63 + 80

y = 143

I need help it khan 4q+3+2q-1​

Answers

Answer: 6q +  2

Step-by-step explanation:

Amanda's dog eats 7 1/2 Pounds of dog food in 2 weeks how much does amandas dog eat each day?

Answers

Answer:

0.535 pounds

Step-by-step explanation:

Answer:

15/28 pounds

Step-by-step explanation:

7 1/2 ÷ 14 days = 15/28

A dog drank ¼ quart of water from a birdbath. The birdbath now has ⅝ quart of water. How much water was in the birdbath before the dog’s drink?

Answers

Answer:

7/8 of a quart

The answer is 7/8ths

Match the equivalent expressions 4(2x + 3) - 7x

Answers

The answer would be 8x+ 12 - 7x or 20x - 7x

What is the solution to this subtraction sentence?
-5/6 – (-1/2) = ________
A. -4/3
B. -5/6
C. -1/2
D. -1/3

Answers

Answer:

D: -1/3

Step-by-step explanation

           

Answer:

The answer is D.-1/3

Step-by-step explanation:

I took the quiz

What is 12x³ – 9x² – 4x + 3 in factored form? hurry...

Answers

Answer:

Combine Like Terms:

=1728+−9x^2+−4x+3

=(−9x^2)+(−4x)+(1728+3)

= −9x^2+−4x+1731

20 divided 740
with remainder
and don't use calculator it wont work

Answers

Answer:

the answer it is 740 R 0

Step-by-step explanation:

0 3 7     this is the answer

__________________

2 0 7 4 0

 − 0

            ____    

   7 4  

 − 6 0

             _______  

   1 4 0

 − 1      4       0

          _____________

       0

ω• Hewo fren!

☆☆●◉✿Answer:✿◉●☆☆

37 with no remainder.

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

The reason it doesn’t show on the calculator is because it has no remainder (but it is true that some calculators don’t show remainders...)

HOPE I HELPED!  ∧∧

→⇒brainliest please? ∑(OΔO )♥♥︎

10. A ladder 6.5 metres long leans against a wall,
touching a window sill, and makes an angle of
62° with the ground. Find the height of the
window sill above the ground. How far is the
foot of the ladder from the foot of the wall?​

Answers

Answer:

5.74m, 3.05m

Step-by-step explanation:

The set up is a right angled triangle.

Length of the ladder is the hypotenuse = 6.5m

Angle of elevation = 62°

Required

Height of the window (opposite)

Using SOH CAH TOA trigonometry identity

Sin theta = opp/hyp

Sin62 = opp/6.5

Opp = 6.5sin62

Opp = 5.74m

Hence the height of the window is 5.74m

The distance of the ladder from the foot of the wall is the adjacent

Cos 62 = adj/6.5

adj = 6.5cos62

adj = 3.05m

Hence the distance of the ladder from the foot of the wall is 3.05m

footpath is to be constructed in a park in the shape of a parallelogram. When a coordinate plane is laid over a map of the park, the vertices of the footpath are (−4, 2), (8, 2), (11, 7), and (−1, 7).

Answers

Answer:

35.7

Step-by-step explanation:

Step one

Given the coordinates

ABCD with vertices A(−4, 2), B(8,2), C(11, 7), and D(-1, 7).

AB=(−4, 2), (8,2)

BC=(8,2), (11, 7)

CD=(11, 7),(-1, 7)

DA=(-1, 7),(-4,2)

The distance between points AB=

[tex]AB= \sqrt (x_2-x_1)^2+(y_2-y_1)^2[/tex]

[tex]AB= \sqrt (8+4)^2+(2-2)^2\\\\AB= \sqrt 12^2+(0)^2\\\\AB= \sqrt144\\\\AB=12[/tex]

The distance between points BC=

[tex]BC= \sqrt (11-8)^2+(7-2)^2\\\\BC= \sqrt 3^2+(5)^2\\\\BC= \sqrt34\\\\BC=5.8[/tex]

The distance between points CD

[tex]CD= \sqrt (-1-11)^2+(7-7)^2\\\\CD= \sqrt -12^2+(0)^2\\\\CD= \sqrt144\\\\CD=12[/tex]

The distance between points DA

[tex]DA= \sqrt (-4+1)^2+(2-7)^2\\\\DA= \sqrt -3^2+(-5)^2\\\\DA= \sqrt34\\\\DA=5.8[/tex]

Hence the perimeter of the footpath= 12+5.8+12+5.8

=35.7

Find the value of r so the line that passes through each pair of points has the given slope.
(r,3), (5,9), m = 2

Will give brainillest if you show work thank you

Answers

(X-x0)m=y-y0

(X-5)2=y-9

2x-10=y-9

2x-1=y

Substitute (r,3) in the equation

2(r)-1=3

2r=4

R=2

A jeweler uses 5.2 ounces of gold inside of a ring and 2.5 ounces to decorate it. If the jewelery has 42.35 ounces of gold, what is the greatest number of rings that can be made?

Answers

Answer:

5.5 rings

Step-by-step explanation:

Now I don't really know if this is right but to get the answer we need to know how much ounces of gold the jeweler need to make a ring and that would be 7.7 ounces of gold. Than divide 42.35 ounce by 7.7 ounces which would get you 5.5 ounces. Hopefully this helped :)

Answer:

5 rings

Step-by-step explanation:

Hope this helps

A submarine dives below the surface, heading downward in four moves. If each move downward was 200 feet, where is the submarine after it is finished diving?

Answers

Answer:

800 feet, if you do 200x4 you you would get 800 feet

Step-by-step explanation:

200x4

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