Answers
9514 1404 393
Answer:
π/3
Step-by-step explanation:
The given integral does not exist. We assume there is a typo in the upper limit, and that you want the integral whose upper limit is (√3)/2.
It is convenient to make the substitution ...
x = sin(y) . . . . so, y = arcsin(x)
dx = cos(y)·dy
Then the integral is ...
[tex]\displaystyle\int_0^{\sqrt{3}/2}{\dfrac{\cos{y}}{\sqrt{1-\sin^2{y}}}}\,dy=\int_0^{\sqrt{3}/2}{dy}=\left.\arcsin{x}\right|\limits_0^{\sqrt{3}/2}\\\\=\arcsin{(\sqrt{3}/2)}=\boxed{\dfrac{\pi}{3}}[/tex]
Related Questions
[IMAGE] please help me with 1, 2, and 3
Answers
Answer:
1. 5n + 10d = 90
2. (18,0)
3. (0,9)
Eight friends go to the movies. The price for each ticket is
$7.99. One person thinks the total for all eight people will
be around $50.00.
Is this a reasonable estimate? Why?
OA. Yes, a reasonable estimate is around 5- $10 = $50.
B. No, a reasonable estimate is around 5 $8 = $40.
C. No, a reasonable estimate is around 8 $8 = $64.
OD. No, a reasonable estimate is around 8-$9 = $72.
Answers
Answer:The answer is C....
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
In the figure to the right, AE+DC= 1 1/5 m, AB=1 3/4 cm, DE=1 1/4 cm, and BC =1 3/10 cm. Find the perimeter of the figure.
Answers
9514 1404 393
Answer:
5 1/2 cm
Step-by-step explanation:
The perimeter is the sum of the given lengths (in cm):
P = (1 1/5) +(1 3/4) +(1 1/4) +(1 3/10)
= (1 + 1 + 1 + 1) +(2/10 + 3/4 + 1/4 +3/10)
= 4 + 1 5/10
= 5 1/2
The perimeter of the figure is 5 1/2 cm.
Please help fast, thanks.
Answers
The equation of the line that has a slope of 3 and passes through the point (2, 1) is y = 3x - 5.
True
ОО
False
Answers
Answer:
True
Step-by-step explanation:
y = 3x - 5 does have slope 3.
Let's test point (2, 1).
y = 3x - 5
1 = 3(2) - 5
1 = 6 - 5
1 = 1
Point (2, 1) does work in the equation.
Answer: True
What is the measure of angle Y?
60 40
Answers
Answer:
if it is triangle it is 80
For a car that gets 21 miles per gallon, how far can it travel on 2/3 gallons?
Answers
Multiply miles per gallon by gallons:
21 x 2/3 = (21x2)/3 = 42/3 = 14
It can travel 14 miles.
Suppose a country's population at any time t grows in accordance with the rule dP dt = kP + I where P denotes the population at any time t, k is a positive constant reflecting the natural growth rate of the population, and I is a constant giving the (constant) rate of immigration into the country. If the total population of the country at time t = 0 is P0, find an expression for the population at any time t.
Answers
Answer:
[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]
Step-by-step explanation:
Given that:
A country population at any given time (t) is:
[tex]\dfrac{dP}{dt}= kP+I[/tex]
where;
P = population at any time t
k = positive constant
I = constant rate of immigration into the country.
Using the method of separation of the variable;
[tex]\dfrac{dP}{kP+1}= dt[/tex]
Taking integration on both sides:
[tex]\int \dfrac{dP}{kP+I}= \int \ dt[/tex]
[tex]\dfrac{1}{k} log (kP + I) = t+c_1 \ \ \ here: c_1 = constant \ of \ integration[/tex]
[tex]log (kP + I) =k t+kc_1[/tex]
By applying the exponential on both sides;
[tex]e^{log (kP + I) }=e^{k t+kc_1 }[/tex]
[tex]KP+I = e^{kt} *e^{kc_1}[/tex]
Assume [tex]e^{kc_1 }= C[/tex]
Then:
[tex]kP + I = Ce^{kt}[/tex]
[tex]kP = Ce^{kt}-I[/tex]
[tex]P =\dfrac{ Ce^{kt}-I}{k} \ \ \---- Let \ that \ be \ equation \ (1)[/tex]
When time t = 0, The Total population of the country is also [tex]P_o[/tex]
[tex]P_o = \dfrac{Ce^{0(t)} -I}{k}[/tex]
[tex]P_o = \dfrac{Ce^{0} -I}{k}[/tex]
[tex]P_o = \dfrac{C-I}{k}[/tex]
C - I = kP₀
C = kP₀ + I
Substituting the value of C back into equation(1), we have:
[tex]P =\dfrac{ (kP_o+1)e^{kt}-I}{k}[/tex]
[tex]P =\dfrac{ (kP_o+1)e^{kt}}{k} - \dfrac{I}{k}[/tex]
[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]
Five years ago, Max was twice as old as Bert. A year from now, the sum of their ages would be 30. How old are they now? Show your solution.
Answers
Answer:
Bert is 11 years old and Max is 17 years old.
Step-by-step explanation:
System of Equations
To solve the system of equations, we use two variables x and y. Let's make:
x = current age of Max
y = current age of Bert
x - 5 = age of Max five years ago
y - 5 = age of Bert five years ago
x + 1 = age of Max one year from now
y + 1 = age of Bert one year from now
According to the conditions of the problem, five years ago, Max was twice as old as Bert, thus:
x - 5 = 2(y - 5) [1]
It's also known a year from now, the sum of their ages would be 30:
x + 1 + y + 1 = 30 [2]
Operating and simplifying [1]:
x - 5 = 2y - 10
x = 2y - 5 [3]
Operating and simplifying [2]:
x + y + 2 = 30
x + y = 28 [4]
Substituting [3] in [4]:
(2y - 5) + y = 28
Simplifying:
3y - 5 = 28
3y = 33
y = 33/3 = 11
y = 11
From [3]:
x = 2*11 - 5
x = 22 - 5 = 17
x = 17
Max is 17 years old and Bert is 11 years old
Factor completely.
x3 + x2 – 25x – 25
what’s the answer
Answers
Answer:
(x+1)(x+5)(x-5)
Step-by-step explanation:
whats 0.1 as a percent
Answers
Answer:
TO findt he percent move the decimal place to the right 2 times. THis applies for any decimal. Therefore the percent is 0.1--->10%
Step-by-step explanation:
A triangular flag has 2 sides with lengths 2 x and 1 side with length x.
A flag is the shape of an isosceles triangle, with two equal sides and a base. Sara has enough fabric to make a flag with a perimeter of 46.8 cm. She knows the flag needs a base that is half the distance of one of the sides.
What is the base of the largest triangular flag Sara can make?
cm.
Answers
Step-by-step explanation:
Perimeter = x + 2x + 2x = 5x
Since 5x <= 46.8cm, x <= 9.36cm.
The largest base is 9.36cm.
Answer:
9.36 is correct
Step-by-step explanation:
PLEASE I NEED HELP I NEED THIS TO GET MY GRADE UP HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
Second one
Step-by-step explanation:
Because if we divide third and forth column can both divided by 5. When x is is increased by one the y increases by 5
Answer:
Second chart
Step-by-step explanation:
A survey of us adults found that 11% think that congress is a good reflection of american views. you rnadomly select 35 us adults and ask them whether they think tha tocngress is a good reflection of american views.
Find the probability that the number who say yes is (a) exactly 8, (b) at least 10, and (c) less than 5, and (d) identify any unusual events. Explain.
Answers
Answer:
C) Less than 5
Step-by-step explanation:
First you find 11% of 35
35 x .11 = 3.85
3.85<5
Therefor- it's less than five. No idea if that was the question but uh- that's what I understood from it. TwT
what is the answer to 5/6 x 4/3
Answers
Answer: 5/6 * 4/3 = 10/9
The Decimal Would Be: 1.111111
Step-by-step explanation:
can u pls help me with this question
Answers
your statement balance is 600.00 You have an outstanding checks for
125.00 and 175.00. an outstanding debit for 200.00. You also have an
outstanding deposit of 400.00. What is your adjusted balance? *
A.575.00
B.500.00
C.400.00
D.625.00
Answers
Answer:
B
Step-by-step explanation:
600+125+175=900-400(deposit)=500
or
600-125-175-300-200=100+400=500
Brainliest Please :)
help me ples 20 point
Answers
Answer:
40%
Step-by-step explanation:
6/15 * 100 = 0.4 * 100 = 40%
Answer:
40% of the pieces of fruit in the Bowl are apples.
Step-by-step explanation:
Given the statement:- There are 15 pieces of fruit in a bowl and six of them are apples.
Total number of pieces of fruit in a bowl = 15 pieces
Number of pieces of apple in a bowl = 6 pieces.
Therefore, 40% of the pieces of fruit in the Bowl are apples.
In a random sample of 300 people in a town, 193 were female. What is the sample portion of female
Answers
Answer: 0.643
Step-by-step explanation:
There are 300 people and 193 were female.
The sample portion that is female is therefore;
= 193/300
= 0.643
I need help please help me
Answers
Answer:
You're right- I'm pretty sure it's C.
Your velocity is 13 feet per second. Are you moving up or down
Answers
Answer:up
Step-by-step explanation:...
Answer:
U are moving up
Step-by-step explanation:
Velocity is the speed of something in a given direction so.... since your velocity is 13 feet per second u are therefore moving up.Might sound confusing but i'm sure that is the answer
✨help✨
Madonna loves records. She has 338 of them. Her grand father gives her some for her birthday. She ends up with 456 after her birthday. At what percent did her grandfather give her. (I know it's a funky question. You have to divide the amount and then round it to the nearest hundred)
Answers
Answer:
34.9%Step-by-step explanation:
Ok, we need to express this number as a percent of increase. So, what we'll do is write this as a proportion.
456/338 = x/100
456 x 100 = 338x
45600 = 338x
x = 134.911242604
A 34.9% increase
Answer:
17.53%Step-by-step explanation:
Initial number = 388Final number = 456Increase in number:
456 - 388 = 68Increase in percent:
68/388*100% = 17.53% rounded to the nearest hundredsMr. and Mrs. Brown went to two movies. The first one lasted 3 1/2 hours and the second one lasted 1 1/3 hours . How much longer was the first than the second movie?
Answers
Answer:
2 1/6 longer
Step-by-step explanation:
3 1/2-1 1/3
7/2 - 4/3
21/6-8/6
13/6 or 2 1/6
so 2 1/6 longer.
Hope this helps :D
Answer:
2 1/6 hours longer
Step-by-step explanation:
Hope the helps!
Are all electrolytes the same in their indications? Explain
The cost of painting a wall that is 5 meters wide and 2 1/2 meters tall is $50. How many square meters can be painted for $1?
Point A(6,9) is diluted by scale factor K(2/3) and center at the coordinate (0,0). What are the coordinates of the image?
(25 points, i couldn't find anything with all subjects so i just put mathematics)
Answers
Answer:
16/24
Step-by-step explanation: Multiply the fractions....( / )
By one by one then divided them together.
A house has decreased in value by 38% since it was purchased. If the current value is $155,000, what was the value when it was purchased?
Answers
Is that the right question?
Which number line best represents the solutions to 7 < -2x + 3?
Answers
Answer:
B or D
Step-by-step explanation:
Tim ate 12 buffalo wings. Jeff ate 125% of the amount Tim ate. How many wings did Jeff eat?
Answers
Answer:
%50
Step-by-step explanation:
hope this helped luv!
Which graph shows the following system of equations and its solutions? -0.1x-0.3y=1.2 and 0.2x-0.5y=2
Answers
Answer:
Option b is the correct answer as both the equations are true for given solution.
Step-by-step explanation:
Given equations are:
-0.1x-0.3y=1.2
0.2x-0.5y=2
We can observe each graph and find the point that is the solution and put the point in the equations to know if that point is the solution
For option A:
(0,4)
Putting x=0 and y = 4 in both equations
[tex]-0.1(0)-0.3(4)=1.2\\0-1.2 =1.2\\-1.2 \neq 1.2\\0.2(0)-0.5(4)=2\\0-2 = 2\\-2 \neq 2[/tex]
This is not the correct answer as both equations are not true with this solution
For Option B:
(0,-4)
Putting x = 0 and y = -4 in both equations
[tex]-0.1(0)-0.3(-4)=1.2\\0+1.2 = 1.2\\1.2 = 1.2\\0.2x-0.5y=2\\0.2(0)-0.5(-4) = 2\\2 = 2[/tex]
Both equations are true for (0,-4) hence it is the solution of the system.
For Option C:
(4,0)
[tex]-0.1(4)-0.3(0)=1.2\\-0.4-0 = 1.2\\-0.4 \neq 1.2\\0.2x-0.5y=2\\0.2(4)-0.5(0) = 2\\0.8 \neq 2[/tex]
Not true for both equations
Hence,
Option b is the correct answer.
50+50+90+90=its a total of=
Answers
Answer:
280
Step-by-step explanation:
50+50=100 plus 90+90= 180 so 180+100=280
In equilateral triangle ABC above, y =
(A) 40
(B) 60
(C) 70
(D) 75
(E) 80
Answers
Answer:
60°
Step-by-step explanation:
In an equilateral triangle all sides are equal so as all angles are same,
3 sided fig. 180÷3= 60°