Answers
Answer:
[tex] \sin \: x - \cos x \: + c[/tex]
Step-by-step explanation:
[tex] \int \frac{cos2x}{ \sqrt{1 - sin2x} } dx \\ \\ = \int \frac{ {cos}^{2}x - {sin}^{2}x } { \sqrt{ {sin}^{2}x + {cos}^{2}x - 2sinx \: cosx } } dx \\ \\ = \int \frac{ ({cos}x - {sin}x )({cos}x + {sin}x )} { \sqrt{ {({cos}x - {sin}x )}^{2} } } dx \\ \\ = \int \frac{ ({cos}x - {sin}x )({cos}x + {sin}x )} {{ {({cos}x - {sin}x )} } } dx \\ \\ = \int({cos}x + {sin}x)dx \\ \\ = \int{cos}x \: dx + \int{sin}x \: dx \\ \\ = \sin \: x - \cos x \: + c[/tex]
Related Questions
pls help me math its due today
Answers
Answer:
For multiplication you added the exponents and for division you minus the exponents
Answer:
kdkdjdduidddsisiodiod
The cost of one large pizza at your favorite pizza place is $15.99. The pizza place offers 21 different toppings. Each additional topping on a large pizza costs $2.75. Write an equation To represent the total cost for a pizza with any number of toppings, then find out what the pizza will cost if you add 7 additional toppings?
Answers
2. 15.99+(2.75 * 7)
= 15.99+19.25
=35.24
Forma de distribución del resultado obtenido por los componentes de una sociedad tomando en cuenta dos factores que intervienen, el capital y el tiempo
a) reparto proporcional
b) regla de compañía
c) prorrateo
Answers
A labor dispute has arisen concerning the distribution of 20 laborers to four different construction jobs. The first job is considered to be very undesirable and requires 6 laborers. The second, third and fourth jobs require 4, 5 and 5 laborers, respectively. The dispute arose over an alleged random distribution of the laborers to the jobs that placed all 4 members of a particular ethnic group on job 1. In considering whether the assignment represented injustice, a mediation panel desired the probability of the observed event. Determine the number of sample points in the sample space S for this experiment. That is determine the number of ways the 20 laborers can be divided into groups of the appropriate sizes to fill all of the jobs. Find the probability of the observed event if it is assumed that the laborers are randomly assigned to jobs.
Answers
Answer:
The answer is "0.30%"
Step-by-step explanation:
To assign employees to work, we have to select 6 out of 20 to do work, instead select 4 out of another 14 jobs, 2 to do, and 5 out of another 10 works 3. The other five were going to go do work four. They may decide how often ways of making each of these options. Their service would be how many forms to allocate those four positions to staff. The random sample is from the height.
There are equally estimated that numbers of arrangements with both the four in Job 1.They then allocate all four to work 1. In this situation We must then select 2 out from the 16 existing spaces in job 1, 4 out from the 14 remaining spaces in job 2, 5 out of the 10 existing spaces in job 3 as well as the ones remaining in job 4.
The possibility of any four being at 1 is that they've been all divided by the overall amount of circumstances in 1 task.
[tex]\to \frac{[ \frac{16!}{(2!4!5!5!)}]}{[\frac{20!}{(6!4!5!5!)}]}\\\\\to [ \frac{16!}{(2!4!5!5!)}] \times [\frac{(6!4!5!5!)}{20!}]\\\\\to [ \frac{16!}{(2!)}] \times [\frac{(6!)}{20!}]\\\\\to [ \frac{16!}{(2!)}] \times [\frac{(6\times 5 \times 4 \times 3 \times 2!)}{20!}]\\\\\to 16! \times [\frac{(360)}{20 \times 19 \times 18 \times 17 \times 16!}]\\\\\to \frac{(360)}{20 \times 19 \times 18 \times 17 }\\\\\to \frac{(360)}{20 \times 19 \times 18 \times 17 }\\\\\to \frac{360}{116,280}[/tex]
[tex]\to 0.00309597523 \approx 0.30 \%[/tex]
Tony needs one gallon of orange juice to make punch for a party. Gallons of orange juice cost $3.99 each. Quarts of orange juice cost $1.25 each. Pints of orange juice cost $0.65 each. Cups of orange juice cost $0.20 each. Which of these is the best buy for a gallon?
Answers
Answer:
Cups at $3.20
Step-by-step explanation:
Gallon - $3.99
Quarts - $5,00
Pints - $5.20
Cups - $3.20
(2x + 12.8) what is the value of x
Answers
Answer:
2/5 *(5x+32)
Step-by-step explanation:
a pair of awesome skinny jeans cost $25 but it is on sale for 25% off. score if tax is 8% what is the total cost
Answers
Answer:
The answer would be 20.25 i think!
Step-by-step explanation:
a) Let f(x) = 4x + 2 and g(x) = 2x^2-4. Find the formula for the composition function gof
(4Marks)
Answers
Answer:
g o f = [tex]g(f(x)) = 32x^2 + 32x + 4[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4x +2[/tex]
[tex]g(x) =2x^2 - 4[/tex]
Required:
Find g o f
This is calculated as:
[tex]gof = g(f(x))[/tex]
[tex]g(x) =2x^2 - 4[/tex]
So:
[tex]g(f(x)) = 2(4x+2)^2 - 4[/tex]
[tex]g(f(x)) = 2(4x+2)(4x+2) - 4[/tex]
[tex]g(f(x)) = 2[ 16x^2 + 16x + 4)] - 4[/tex]
[tex]g(f(x)) = 32x^2 + 32x + 8 - 4[/tex]
[tex]g(f(x)) = 32x^2 + 32x + 4[/tex]
I dont know how to do surface area
Answers
Answer: the equation for SU is 2(lb+bh+hl)
Step-by-step explanation: L stands for length B stands for base. H stand for height multiply that by 2
Help
Don’t use for points and also be clear or I will take the points back
Answers
Answer:
x=47°
Step-by-step explanation:
..,........................
Answer:
I believe it is 47.
Step-by-step explanation: The reason why is because for a right angle it must be 90 degrees So, the way I solved this was getting 90-43 I got the 43 from BCD. then subtracted it and applied it to the other side, keep in mind I am only a freshman and it might be wrong super tiny chance but it might.
Sean’s mom baked 48 cookies. After Sean and his friends walk through the kitchen, there are 25% of the cookies left. How many cookies are left?
Answers
36 cookies are left
Step-by-step explanation:
to do this problem all you have to do is do the equation 48*0.25 and when you do that you get 12. after that you subtract 12 from 48 to get 36
Find the total of a
$60 meal with 15%
tip and 8% tax.
Answers
Answer: $73.8 15% of 60 is 9 and 8% of 60 is4.8 then if you add them all together you get 73.8$
Step-by-step explanation:
Answer:
$73.8
Step-by-step explanation:
(15+8)= 23 -> .23 = .23 times 60 = $73.8
Andrea spent 5/9 of her money buying a guitar if she had €296 left how much had she had first
Answers
Answer:
kkk
Step-by-step explanation:
simplify (2sq root 5-4) (3sq root 5-2)
Answers
Answer:
2√5-4(3√5-2)
6√25-4√5-12√5+8
6(5)-16√5+8
30+8-16√5
38-16√5
A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is m, the fuel is consumed at rate r, and the exhaust gases are ejected with constant velocity ve (relative to the rocket). A model for the velocity of the rocket at time t is given by the equation
v(t)=−gt−velnm−rt/m
where g is the acceleration due to gravity and t is not too large. If g=9.8 m/s^2, m = 30000 kg, r = 160 kg/s, and ve = 3000 m/s, find the height of the rocket one minute after liftoff.
Answers
This question is incomplete, the complete question is;
A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is m, the fuel consumed at rate r, and the exhaust gases are ejected with constant velocity v(sub e) [relative to the rocket]. A model for the velocity of the rocket at time t is given by the equation:
v(t) = -gt - v(sub e) ln [(m-rt)/m]
where g is the acceleration due to gravity, and t is not too large. If g = 9.8 m/s^2, m = 30,000 kg, r = 160 kg/s, and v(sub e)= 3000 m/s, find the height of the rocket one minute after liftoff.
Answer:
the height of the rocket one minute after liftoff is 14.8441 km
Step-by-step explanation:
Given the data in the question;
Velocity of the rocket at time t is;
v(t) = -gt - [tex]V_{e\\}[/tex] ln( [tex]\frac{m-rt}{m}[/tex])
[tex]\int\limits^t_0 {v(t)} \, dt[/tex] = ₀∫⁶⁰( -gt - [tex]V_{e\\}[/tex] ln( [tex]\frac{m-rt}{m}[/tex]) )dt
= -g([tex][\frac{t^{2} }{2}]^{60}_0[/tex] - [tex]V_{e\\}[/tex] ₀∫⁶⁰In( [tex]\frac{m-rt}{m}[/tex]) dt
= -g([tex][\frac{t^{2} }{2}]^{60}_0[/tex] - [tex]V_{e\\}[/tex] [ t In( [tex]\frac{m-rt}{m}[/tex]) + [tex]\frac{m}{r}[/tex] - t - mr[tex]\frac{1}{r^{2} }[/tex] In |m-rt| [tex]]^{60}_0[/tex]
= -g([tex][\frac{60^{2} }{2}][/tex] - [tex]V_{e\\}[/tex] [ 60 (In(1 - [tex]\frac{60r}{m}[/tex])-1) + [tex]\frac{m(In(m^{2})-In((m-60r)^2))) }{2r}[/tex] ]
we input our given values; g=9.8 m/s², m=30000 kg, Ve = 3000 m/s, r = 160 kg)
= -9.8([tex][\frac{60^{2} }{2}][/tex] - 3000 [ 60 (In(1 - [tex]\frac{60(160)}{m}[/tex])-1) + [tex]\frac{30,000(In(30,000^{2})-In((30,000-60(160))^2))) }{2(160)}[/tex] ]
[tex]\int\limits^t_0 {v(t)} \, dt[/tex] = 14844.10 m
we convert to kilometer
[tex]\int\limits^t_0 {v(t)} \, dt[/tex] = 14844.10 ÷ 1000
[tex]\int\limits^t_0 {v(t)} \, dt[/tex] = 14.8441 km
Therefore, the height of the rocket one minute after liftoff is 14.8441 km
can someone help :(!
Answers
Pls help, will give brainliest.
Answers
Point Form: (3,4)
Equation Form: x=3, y=4
Answer:
x = 3
y = 4
Step-by-step explanation:
You need to get ridof the 2y so add the equations together:
3x - 2y = 1
*add
2x + 2y = 14
5x + 0 = 15
5x = 15
*divide by 5
x = 3
Now that we have x we can find y by substituting
2(3) + 2y = 14
6 + 2y = 14
* subtract 6
2y = 8
*divide by 2
y = 4
Hope this helps :)
A group of high school students are volunteering for Habitat for Humanity during their summer break. They
are putting the finishing touches on a house they built. Working alone, Kendra can paint a certain room in 7
hours. Joe can paint the same room in 6 hours. Write an equation that can be used to find how long it will
take them working together to paint the room. How many hours will it take them to paint the room? If
necessary, round your answer to the nearest tenth.
Answers
In response to the question, we may say that It will take Kendra and Joe expression approximately 3.2 hours to paint the room together.
what is expression ?An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.
Let's denote the time it takes Kendra to paint the room as "K" and the time it takes Joe to paint the room as "J". We can use the formula:
[tex]1/K + 1/J = 1/T\\1/7 + 1/6 = 1/T\\13/42 = 1/T\\13T = 42\\[/tex]
Therefore, T = 42/13 ≈ 3.2 hours (rounded to the nearest tenth).
It will take Kendra and Joe approximately 3.2 hours to paint the room together.
To know more about expression visit :-
https://brainly.com/question/14083225
#SPJ1
1 +3 (6 - 3n) = -6 - 4n
a) {11}
b) {-9}
c) { infinite solutions}
d) {5}
Answers
Answer:
D
Step-by-step explanation:
1+3(6-3n)= -6-4n
1+18-9n= -6-4n
1+18+6= 9n-4n
25=5n
25/5=n
5=n
Graph. Identify the solution:
1) x + y = 2
X-y=4
Answers
Answer:
X=3 y=-1
Step-by-step explanation:
X+y=2
X-y=4
so that means
y=X-4
substitute it in
X+X-4=2
2x-4=2
2x=2+4
2x=6
x=3
3+y=2
3+-1=2
y=-1
ways to check
3--1=4
double minus equal plus
3+1=4
A sample of 80 high school senlors, 45% of which are female, were surveyed as to whether or not they are employed
outside of school. 25% of the boys surveyed sald they are not employed. How many boys are employed?
Answers
Answer:
33 boys
Step-by-step explanation:
Since 45% of the participants were female and there were a total of 80 students, 36 of the 80 students were female. That means that 44 of the students were male.
25% of 44 is 11. So there are 11 boys that are not employed. From there you can just subtract 44 - 11 and get 33.
33 boys are employed
Answer:
33 students
Step-by-step explanation:
Let's take this step-by-step. First, we know that the sample includes a total number of 80 high school students, and 45% of them are female.
This means that 55% of them are male students, which is required to answer the question. 80 × 0.55 = 44 male students.
Next, 25% of the male students are not employed. This means that 75% of the male students are employed. So, 44 × 0.75 = 33 male students.
David says that he can apply the commutative and
distributive properties to 7s + 8 + 5s to get 12s + 8.
Answers
Hope this helps! I had hw similar to this... so..
Here is part of a train timetable.
0718
0725
0728
Brighton
London
0900
0832
0848
Work out how long it will take the 07 18 train to get to London
Give your answer in hours and minutes.
hr(s) min(s)
Answers
Answer:
1 hour 42 minutes
Step-by-step explanation:
Given :
Time table :
BRIGHTON _____ LONDON
0718 __________ 0900
0725 __________0832
0728 __________ 0848
Tine taken by the 0718 train :
Arrival time, London - Departure time
09:00 - 07:18
2 hours (60 - 18) minutes
Write the equation of a line PERPENDICULAR
to 3x + y = 1 that passes through the point (3,
-1).
Answers
Answer:
im pretty sure its y=1/3x
Step-by-step explanation:
rearrange for y to be subject
its perpendicular so then the gradient will be the negative reciprocal (-1 / -3= 1/3) so thats your new gradient
then when you substitute the (3,-1) into that equation get -1=1 + c so then c is 0 and your whole equation is y=1/3x
Allen added 16 and 15 for a sum of 1330. Is Allen correct? Explain.
Answers
Allen is wrong.
Step-by-step explanation:
16 + 15 = 31
It takes Colton 14 minutes to decorate 4 cookies. It takes
David 20 minutes to decorate 6 cookies. Who decorates
at a faster rate? Explain how you know
Answers
Answer:
David decorated the cookies at a faster rate than Colton.
Step-by-step explanation:
David decorated one cookie every 3 and 1/3 minutes. Colton decorated one cookie every 3.5 minutes. The way to find the answer to your question is by dividing the number of minutes by the number of cookies decorated.
Someone help me with this.
Answers
Answer:
2x² + 13x + 15
Step-by-step explanation:
| 2x | 3
x | 2x*x = 2x² | 3*x = 3x
5 | 2x*5 = 10x | 3*5 = 15
We have, 2x² + 3x + 10x + 15
Combining like terms, we would have the final expression as:
2x² + 13x + 15
Help it’s due today plz
Answers
Find the area of the figure below
Answers
Step-by-step explanation:
(3×6) + (2×6)
= 18 + 12
= 30 in²
The pottery class has 16 pounds
of clay. Each student got 1/2 of a
pound of clay to make a plate.
How many plates did the
students make?
Answers
Answer:
32 plates
Step-by-step explanation:
If the pottery class has 16 pounds of clay and each student got 1/2 of a pound;
then;
1 plate = 1/2 pounds
xplate = 16pounds
Divide both expressions
1/x = 1/2÷16
1/x = 1/2*!6
1/x = 1/32
x = 32
Hence the student will make 32 plates
