Answer:
Step-by-step explanation:
[tex]2xsin(2y)dx-(x^2+10) cosy dy =0\\\\\frac{2x}{x^2 + 10}dx= \frac{cosy}{sin(2y)}[/tex]
Take integration both side (apply substitution for the left hand side, apply sin(2y) = 2 sin(y) cos(y) for the right hand side) you will have the condition.
Problem solved
1. Two people have $10 to divide between themselves. Each person names a number (nonnegative integer) no more than 10. If the sum of the two numbers is at most 10, each person gets the named amount of dollars, and the rest of the money is destroyed. If the sum exceeds 10, and the numbers are different, the person who has named the smaller number, receives the corresponding number of dollars, and the second person receives the rest. If the sum exceeds 10, and the numbers are equal, each person receives $5. Determine the be
Answer:
Step-by-step explanation:
Determine the best response of each player to each of the other player’s actions; plot them in a diagram and thus find the Nash equilibria of the game.
The best response for player 2 can be stated as:
(where X1 equals the dollar that a person names and Y2(X1) being the amount the person receives)
X1 Y2(X1)
0 10
1 9,10
2 8,9,10
3 7,8,9,10
4 6,7,8,9,10
5 5,6,7,8,9,10
6 5,6
7 6
8 7
9 8
10 9
Th best responses for player 1 would be the same.
Nash equilibria is the set of strategies that every person forms given no person has any incentive to change. Hence, we can say that there are 4 Nash equilibria: (5,5) , (5,6) , (6,5) , (6,6)
Find the produce 2 1/3 times 3 1/2
Answer:
49/6 or 8 16/99
Step-by-step explanation:
2 1/3 *3 1/2 = (7/3*7/2)= 49/6
First convert to fraction form
then multiply across numerator to numerator and denominator to deominator
Simplify if needed
Turn to mixed fraction if needed
A fair die is rolled two times. What is the probability that both rolls are 3?
Answer:
1/36
Step-by-step explanation:
For each roll, the probability that the die rolls a 3 is 1/6
So, for it to happen on both dice is 1/6 * 1/6 = 1/36
The probability that an event will repeat its self for independent events is given by the square of the probability of the event occurring
The probability that both rolls are 3s is [tex]\underline{\dfrac{1}{36}}[/tex]Reason:
Number of faces in a fair die = 6 faces
Numbers on the faces of a fair die = 1, 2, 3, 4, 5, and 6
Number of 3s on the face of a fair die = 1
Probability that a roll of a fair die gives the face of 3, P(3) = [tex]\dfrac{1}{6}[/tex]
The probability that two rolls of a fair die are both, is given as follows;
P(Both 3) = P(3 and 3) = P(3 ∩ 3)
The and condition of two independent probabilities is the product of the two probabilities, therefore;
P(3 ∩ 3) = [tex]\dfrac{1}{6} \times \dfrac{1}{6} = \dfrac{1}{36}[/tex]
The probability that both rolls are 3s P(Both 3s) = [tex]\underline{\dfrac{1}{36}}[/tex]
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How can sums and differences of cubes be identified for factoring?
Answer:
Step-by-step explanation:
The sum of two perfect cubes breaks down into two factors, the first is the sum of their cube roots, and the second is made up of the square of the first root minus the product of both roots plus the square of the second root.
The difference of two perfect cubes is decomposed into two factors, the first is the difference of their cube roots, and the second is made up of the square of the first root plus the product of both roots plus the square of the second root.
which of the following represents a function
Answer:
Second option
Step-by-step explanation:
For a set to represent a function, each input value in the set domain should match with one and only one output value of set range.
The option that follows this rule os second option as 1 is matched with 2 only, and 3 is matched with 3 only, and 5 is matched with 7 only.
Jan's All You Can Eat Restaurant charges $9.10 per customer to eat at the restaurant. Restaurant management finds that its expense per customer, based on how much the customer eats and the expense of labor, has a distribution that is skewed to the right with a mean of $8.10 and a standard deviation of $4.
A. If the 100 customers on a day have the characteristics of the random sample from their customer base, find the mean and standard error of the sampling distribution of the restaurant's sample mean expense per customer.
B. Find the probability that the restaurant makes a profit that day, with the sample mean expense being
less than $8.95.
Answer:
Step-by-step explanation:
From the given question;
Given that:
Jan's All You Can Eat Restaurant charges $9.10 per customer to eat at the restaurant.
Distribution is skewed and and has a mean of $8.10 and a standard deviation of $4.
A. If the 100 customers on a day have the characteristics of the random sample from their customer base, find the mean and standard error of the sampling distribution of the restaurant's sample mean expense per customer.
the mean by using the central limit theorem is 8.10
the standard error of the sampling distribution = [tex]\dfrac{\sigma}{\sqrt{n}}[/tex]
the standard error of the sampling distribution = [tex]\dfrac{4}{\sqrt{100}}[/tex]
= 4/10
= 0.4
B.
P(X > $8.95) = P (Z > 8.95 - 8.10/0.4)
P(X > $8.95) = P (Z > 2.1)
P(X > $8.95) = 1 - P (Z < 2.1)
P(X > $8.95) = 1 - 0.9821
P(X > $8.95) = 0.0179
Find the characteristic polynomial and the eigenvalues of the matrix. [Start 2 By 2 Matrix 1st Row 1st Column 11 2nd Column 2 2nd Row 1st Column 2 2nd Column 11 EndMatrix ]The characteristic polynomial is nothing.
Answer:
Step-by-step explanation:
The answer is 3x 987 colunm 2
You are writing music for a movie and you have to synchronize the music to the amount of frames per click in it. It's a battle scene so you want fast, energetic and exciting music. You choose a Presto tempo marking of 200 beats per minute. How many picture frames are there per each tempo click? (Round to the nearest whole number and write only the number.)
Answer: 7.2 frames per bit.
Step-by-step explanation:
Our teempo is 200 bpm.
in one minute we have 60 seconds, so here we have:
200b/60s = 3.33 bits per second.
For movies, the standar is 24 frames per second
now, we can take the quotient between the frames per second and the bits per second and get the frames per bit.
24fps/3.33bps = 7.2 frames per bit.
Find sin 2x, cos 2x, and tan 2x if sinx =
5
13
and x terminates in quadrant I.
ala
sin 2x
U
х
cos 2x
=
tan 2x
10
Answer:
12/13 ; 5/13; 12/5
Step-by-step explanation:
sinx =5/13 =opposite/ hypothenus
By Pythagoras rule the hypothenus side can be obtained as
√ 13^2 -5^2 = √169 -25 = √144 = 12
cos x= adjacent/ hypothenus = 12/13
Now Cos2x= Sinx
And Sin2x = Cosx
Hence ;
Sin2x=12/13
Cos2x =5/13
Tan2x= Sin 2x/ Cos 2x
= 12/13 ÷ 5/13
= 12/13 × 13/5 = 12/5
Simplify the given expression. Assume x doesn’t = 0. (20x^-3/10x^-1)^-2
X^4/2
X^4/4
X^2/4
Answer:
X^4
------
4
Step-by-step explanation:
The simplified expression is 1/4x²
What is a polynomial expression?Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is an expression composed of variables, constants, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x²-5x+11
Given here, the expression is (20x⁻³ / 10x⁻¹)⁻² =2⁻²× x⁻²
= 1/4x²
Hence, the simplified expression is 1/4x²
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PLEASE ANSWER THIS!
In the diagram, PQRS, JQK and LRK are straight lines
Р
Question 1
Question 2
Question 3
J-
2yQ
Question 4
O
x
K
Question 5
Question 6
Question 7
Question 8
Question 9
M
33°
DO
R
L
2x/
Question 10
S
What is the size of the angle JKL?
Question 11
Question 12
Question 13
Question 14
A Question 15
Question 16
Question 17
Question 18
Question 19
37°
38°
36°
34°
35°
Answer:
38°
Step-by-step explanation:
The sum of angles that make a line is 180°; the sum of angles in a triangle is 180°. So, we have the following relations:
2x +y +A = 180
2y +x + B = 180
A +B +33 = 180
Adding the first two equations and subtracting the third, we get ...
(2x +y +A) +(2y +x +B) -(A +B +33) = 180 +180 -180
3x +3y -33 = 180
x + y - 11 = 60
x + y = 71
__
We know vertical angles are congruent, so in triangle QRK, we have ...
2y +2x +∠K = 180
∠K = 180 -2x -2y = 180 -2(x +y) = 180 -2(71)
∠JKL = 38°
Answer:
38 degrees
Step-by-step explanation:
An office building loses a third of its heat between sundown and midnight and an additional half of the original amount of heat between midnight and 4 AM. If five-eighths of the remaining heat is lost between 4 AM and 5 AM, what proportion of the total heat loss occurs between 5 AM and sunrise?
Answer:
[tex]\dfrac{1}{16}[/tex]
Step-by-step explanation:
Proportion of Heat Loss Between sundown and midnight[tex]=\dfrac{1}{3}[/tex]
Proportion of Heat Loss between midnight and 4 AM [tex]=\dfrac{1}{2}[/tex]
Proportion of Total Heat Already Lost [tex]=\dfrac{1}{3}+\dfrac{1}{2} =\dfrac{5}{6}[/tex]
Proportion of Remaining Heat [tex]=1-\dfrac{5}{6}=\dfrac{1}{6}[/tex]
Between 4 AM and 5 AM, five-eighths of the remaining heat is lost.
Proportion of Heat Loss between 4 AM and 5 AM= [tex]\dfrac{5}{8}$ X \dfrac{1}{6} = \dfrac{5}{48}[/tex]
Therefore, Proportion of Remaining Heat Left [tex]=\dfrac{1}{6}- \dfrac{5}{48}=\dfrac{1}{16}[/tex]
We therefore say that:
[tex]\dfrac{1}{16}$ of the total heat loss occurs between 5 AM and sunrise.[/tex]
Which solution set is graphed on the number line?
1
4
x>1
0 x > 1
Ox<1
X31
Answer:
4
Step-by-step explanation:
ur welcome hopefully this helps
What is the length of the line?
Answer:
B) 5
Step-by-step explanation:
The points are (2,2) and (6,5). Subtract both Y's and X's and then square the answers and add. you should get 25, which has a square root of 5.
In the circle above, P is the center,What is the value, in degrees, of θ?
Answer:
45°
Step-by-step explanation:
There is a propiety that says "The measure of the inscribed angle is half that of the arc that the two sides cut out of the circle."
So the central angle is 90, the inscribed angle will be 90/2=45°
3 of 6
As an estimation we are told £3 is €4.
Convert £85.40 to euros.
Give your answer rounded to 2 DP
Answer:
€113.67
Step-by-step explanation:
£3 = €4
£85.40 is €x
Cross multiply.
[tex]4 \times 85.4=3x[/tex]
[tex]3x=341.6[/tex]
[tex]\frac{3x}{3}=\frac{341.6}{3}[/tex]
[tex]x=113.86666...[/tex]
find the area of the triangle. ? square units
Answer:
54 square units
Step-by-step explanation:
The formula for the area of a triangle is:
[tex]\frac{1}{2}[/tex] x base x height
The base is 12
The height is 9
So 1/2 x 12 x 9 = 54 square units
If one angle equals 34”, then the measure of its complement angle is 56°.
True
OO
False
I need help
Answer:
True
Step-by-step explanation:
Complementary means they should sum to 90 degrees
34+56=90
Answer:
True
Step-by-step explanation:
Complementary angles are angles that add to 90 degrees, or a right angle.
If the two angles are complementary, then they will add to 90 degrees.
One angle is 34°, and it's complement is 56°.
Add the angles.
34°+56°
90°
Since they add to 90 degrees, they are complementary angles. Therefore, the statement is true.
Angle θ is in standard position. If (8, -15) is on the terminal ray of angle θ, find the values of the trigonometric functions.
sin(θ) =
cos(θ) =
tan(θ) =
csc(θ) =
sec(θ) =
✔ 17/8
cot(θ) =
✔ -8/15
i have only gotten the last two right and i need help with the others.
Answer:
cos =1/ sec
=8/17
tan =1/cot
= -15/8
sin = 15/17 or -15/17
cosec = 1/ sin
= 17/15 or -17/15
Answer:
Did the same assignment. lol can see how that went but here's the answers. hope it helps.
Help asap giving branlist!!!
Answer:
B
Step-by-step explanation:
Let's arrange it into slope-intercept form.
2x - y = 4
y = 2x - 4
We are looking for a line with slope of 2 and y-intercept -4. This line is Line B.
Please answer this correctly
Answer:
3.14
Step-by-step explanation:
We find the total circumference of a circle with radius 2 to be
2 * pi * r
= 2 * 3.14 * 2
= 12.56
We divide by 4 to get the perimeter of the quarter circle
12.56/4 = 3.14
What’s the correct answer for this question?
Answer:
B) (1,2,3,4,5,6,7,8)
Step-by-step explanation:
The answer is B because the union of a set represents everything thing that is within the sets.
Please answer this correctly
Answer:
Number of people
6
5
5
6
3
1
Step-by-step explanation:
All you had to do was the count how much numbers there were on the list.
Like there were 6 0s.
Answer:
Hope this helps
Step-by-step explanation:
6 people did 0 sit ups
5 people did 1 sit ups
5 People did 2 sit ups
6 people did 3 sit ups
3 people did 4 sit ups
1 person did 5 sit ups
whats the percentage of 56/100
Answer:
56%
Step-by-step explanation:
Any number out of 100 is that number's percent.
If it's for say 0.1/100, its 0.1%.
Which decimal is closest in value to 9/20
Answer:
0.45
Step-by-step explanation:
9/20 is the same as 0.45
Answer:
0.45
Step-by-step explanation:
9/20= 9*5/20*5= 45/100= 0.45
(04.03 MC)
Alex is planning to surround his pool ABCD with a single line of tiles. How many units of tile will he need to surround his pool? Round your answer to the nearest hundredth.
A coordinate plane with quadrilateral ABCD at A 0 comma 3, B 2 comma 4, C 4 comma 0, and D 2 comma negative 1. Angles A and C are right angles, the length of segment AB is 2 and 24 hundredths units, and the length of diagonal BD is 5 units.
8.96
10.48
13.42
20.42
The units of tile will he need to surround his pool is 13.42
The given parameters are:
[tex]AB =2.24[/tex]
[tex]BD =5[/tex]
Start by calculating the distance BC using the following Pythagoras theorem
[tex]BD^2 = AB^2 + BC^2[/tex]
So, we have:
[tex]5^2 = 2.24^2 + BC^2[/tex]
[tex]25 = 5 + BC^2[/tex]
Collect like terms
[tex]BC^2 = 25 - 5[/tex]
[tex]BC^2 = 20[/tex]
Take the square roots of both sides
[tex]BC = 4.47[/tex]
The unit of tiles is then calculated using the following perimeter formula
[tex]Tiles = 2 \times (AB + BC)[/tex]
So, we have:
[tex]Tiles = 2 \times (2.24 + 4.47)[/tex]
[tex]Tiles = 13.42[/tex]
Hence, the units of tile will he need to surround his pool is 13.42
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Want to donate to a better cause? Consider micro-lending. Micro-lending is a process where you lend directly to entrepreneurs in developing countries. You can start lending at $25. Kiva.org boasts a 99% repayment rate. The average loan to an entrepreneurs is $388.44 and the average loan amount is $261.14. With a total amount loaned of $283,697,150, how many people are lending money if the average number of loans per lender is 8?
Answer:
135,797
Step-by-step explanation:
If the total loan amount is $283,697,150 and the average loan amount is $261.14, then the number of loans is ...
$283,697,150/$261.14 = 1,086,379.5
If the average number of loans per lender is 8, then the number of lenders is ...
1086379.5/8 = 135,797 . . . . people lending money
3u - 3 = 15
give me a lecture so i can try to do it in the future please
Answer:
u=6
Step-by-step explanation:
One rule in algebra is what you do to one side, you do it to other side. So if you multiply a number in one side, multiply the same number in other side. Here in this question, you are trying to find the value of the variable u. Variable is called so because the value of it varies depending on different question. Here u is going to be a constant number which when multipled by 3 and then subtracted by 3 equals 15.
So first step is we try to get constants on one side. So we add 3 on both sides to get rid of 3 on left.
3u - 3 + 3= 15+3
3u= 18
Now we divide by 3 on both sides to get u by itself.
3u/3 = 18/3
u= 6
What’s the correct answer for this question?
Answer:
B
Step-by-step explanation:
In the attached file
(a^2-b^2) (c^2-d^2) +4abcd
[tex]a^{2} {c}^{2} - {a}^{2} {d}^{2} - {b}^{2} {c}^{2} + {b}^{2} {d}^{2} + 4abc[/tex]
