Answer:
s cos^(-1)(-(q^2 s)/2) + sqrt(4 - q^4 s^2)/q^2 + constant
Step-by-step explanation:
Take the integral:
integral cos^(-1)(-(q^2 s)/2) ds
For the integrand cos^(-1)(-(q^2 s)/2), substitute u = -(q^2 s)/2 and du = -q^2/2 ds:
= -2/q^2 integral cos^(-1)(u) du
For the integrand cos^(-1)(u), integrate by parts, integral f dg = f g - integral g df, where
f = cos^(-1)(u), dg = du, df = -1/sqrt(1 - u^2) du, g = u:
= -(2 u cos^(-1)(u))/q^2 + 2/q^2 integral-u/sqrt(1 - u^2) du
Factor out constants:
= -(2 u cos^(-1)(u))/q^2 - 2/q^2 integral u/sqrt(1 - u^2) du
For the integrand u/sqrt(1 - u^2), substitute p = 1 - u^2 and dp = -2 u du:
= -(2 u cos^(-1)(u))/q^2 + 1/q^2 integral1/sqrt(p) dp
The integral of 1/sqrt(p) is 2 sqrt(p):
= (2 sqrt(p))/q^2 - (2 u cos^(-1)(u))/q^2 + constant
Substitute back for p = 1 - u^2:
= (2 sqrt(1 - u^2))/q^2 - (2 u cos^(-1)(u))/q^2 + constant
Substitute back for u = -(q^2 s)/2:
Answer: = s cos^(-1)(-(q^2 s)/2) + sqrt(4 - q^4 s^2)/q^2 + constant
Using the following equation , solve the equation graphically for integral values of x any.
Plot a graph of the equations and shade out the area which is not in the range of values.
1.
[tex]y \geqslant 0 , \\ x - y \geqslant 1 , 3x + 4y < 12[/tex]
Answer:
See the attachedStep-by-step explanation:
y ≥ 0 - limits the region to first and second quadrantsx - y ≥ 1 ⇒ y ≤ x - 1 (region A on the graph)3x + 4y < 12 ⇒ y < - 4/3x + 4 (region B on the graph)Regions covered by each functions are shaded and the intersection also shaded and marked.
The white area in the graph is the out of range region.
Answer:
{(1, 0), (2, 0), (2, 1)}
Step-by-step explanation:
In the attached graph, the dashed lines are to be considered part of the unshaded area, hence in the solution set. The only points with integer coordinates in the solution set are the ones listed above.
Simplify the expression 3.3 - 5.5n - 4n + 6 =
Answer:
Hello! have a good day!
−9.5n + 9.3
Answer:
Our answer would be 9.3-9.5n!
Step-by-step explanation:
My explanation is that:
Add : 3.3 and 6
-5.5n-4n+9.3
then subtract 4n from -5.5n
-9.5n+9.3 would be our answer!
Two friends have recently graduated from college and are now looking for jobs. They are debating which type of job is better: hourly or salary. One hourly position that pays $18 an hour, with time-and-a-half pay for overtime. One salary position for the same type of job pays $38,000, does not pay for overtime. If employees work exactly 40 hours per week, which job has a higher hourly rate? How can we calculate this? Describe (compare) how these two different hourly rates would look when graphed as a line. When interviewing for the salaried job, the friends learn that they may have to work about 10 hours of overtime each week. Explain why this math is crucial to determining which job pays more.
Answer: This is a CRQ so you will want to answer using R.A.C.E
Step-by-step explanation:
First, restate the question: "If employees work exactly 40 hours the job with the higher pay rate is..."
Now let's figure it out who gets paid more. The hourly employee gets $18 per hour, for 40 hours each week... 18 times 40. That's $720 for each week.
But they don't work for just one week, they have to work the whole year! So that's 52 weeks. Take the $720 and multiply by 52 weeks.
Now you have the total for how much hourly guy will make in a whole year.
Compare this number with the salary guy who is making $38,000 per year. Which person get's paid more? Hourly or Salary? Don't forget to include your calculations!
.............................................................................
Next part of the question: "When graphed as a line..." This part of the question you do not have to do because we did not cover slope of a line yet. (Hi, I'm your math teacher by the way lol)
.............................................................................
Next part of the question adds 10 hours of overtime to their work week. This changes everything! Remember, the salary guy gets $38,000 every year, no matter how many hours of overtime he works.
However, the hourly guy gets extra money for these extra hours! For overtime, the hourly employee gets "time and a half" pay whenever he has to work extra time. This means he gets his original $18 per hour, AND now also gets half of that ($9 per hour) ... which adds up to a whopping $27 per hour for overtime (nice!)
Hourly guy works 10 extra hours per week, at $27 per hour. Multiply that and you get $270 per week. Remember, 52 weeks per year, so now take the $270 and multiply by 52 weeks. This gives you the total amount of overtime money hourly guy makes.
Combine his overtime money with his regular money (the first thing we did at the start of this problem) to get his new grand total for the year.
Salary guy still makes $38,000 per year. So now that they work overtime... who gets paid more?
Remember to answer in R.A.C.E format. Restate your question, Answer all parts of the question, Cite a math term/definition/concept that supports your answer (maybe use "hourly rate" or "salary"), and Explain your steps and thinking.
Good luck! send me an email for more help.
Mrs. B
Please help with this, it’s Khan Academy A.K.A annoying
B makes sense.
On the first play, they gained 6 yards.
On the 2nd play, they lost 8 yards, which can be shown as + (-8)
On the 3rd play, they lost two yards, which can be shown as + (-2)
If you input it in a calculator, you'd find that the answer is a negative, which makes sense considering that they lost more yards than they gained.
Help!!! Please HELP!!!
Answer:
D
Step-by-step explanation:
that's where they cross
Can someone help me?
2b²+17b+21
Thanks
Answer:
(2b+3) (b+7)
Step-by-step explanation:
2b²+17b+21
2b²+14b+3b+21
2b(b+7) + 3(b+7)
(2b+3) (b+7)
Answer:
roots are -3 and -14
Step-by-step explanation:
A man is cycling in a place where wind is blowing. He travels 12 km against the direction of the blowing wind. In doing so, he took the same time while going 28 km in the direction of the wind. Find the speed of the wind. ( Hint - When the man is cycling in the direction of the wind, wind speed is added to his speed; otherwise it is subtracted.)
Answer:
The speed of the wind is 4.8 km/hr
Step-by-step explanation:
The parameters of the motion of the man are;
The distance the man travels in the given time while moving against the wind = 12 km
The distance the man travels in the giving time while going with the wind = 28 km
From search online for of a similar question, we have;
The speed with which the man is cycling = 12 km/hr
Let. 't', represent the time the travels each distance, let 'w', represent the speed of the wind and let 'v' represent the speed of the man, we have;
Time, t = Distance, d/(Velocity, v)
The resultant speed of the man when he travels against the wing = v - w
The resultant speed of the man when he goes in the the wing = v + w
Therefore, we have;
12/(v - w) = 28/(v + w)
12·v + 12·w = 28·v - 28·w
12·w + 28·w = 28·v - 12·v = 16·v
40·w = 16·v
∴ w = (16/40) × v = (2/5) × v
The speed with which the man is cycling = 12 km/hr
∴ The speed of the wind, w = (2/5) × v = (2/5) × 12 km/hr = 4.8 km/hr
The speed of the wind = 4.8 km/hr.
There are 80 dogs and cats in the animal shelter. The ratio of dogs to cat 5/11 how many of animals are dogs
Answer:
Step-by-step explanation:
80/16x5=25
The winning times for a race are shown in the table.
Which answer describes the rate of change from year 2 to year 4?
- The winning time increased by an average of 0.267 second per year from year 2 to year 4.
- The winning time increased by an average of 0.8 second per year from year 2 to year 4.
- The winning time increased by an average of 0.4 second per year from year 2 to year 4.
- The winning time increased by an average of 0.475 second per year from year 2 to year 4.
Answer: The winning time increased by an average of 0.4 second per year from year 2 to year 4.
The winning time for a race displayed in the table would be:
C). The winning time increased by an average of 0.4 seconds per year from year 2 to year 4.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Find the increase in winning time:
Given that,
Year Winning Time(seconds)
1 27.5
2 28.4
3 28.7
4 29.2
5 29.44
Hence, The total change in the time is,
= (0. + 0.3 + 0.5 + 0.24)/4
= 0.485 seconds
Now, If we round off, it becomes 0.5 seconds.
Therefore, it can be considered that an average of 0.5 seconds changes every year from year 2 to 4.
Thus, ''Option C'' is the correct answer.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Find the value of x.
A. 90
B. 70
C. 20
D. 50
Answer: B. 70
Step-by-step explanation:
i actually can't tell but i think this is right
On Monday, Florencia's hair was h centimeters long. She got a haircut on Tuesday, so her hair was only 75% percent of the length it was on Monday.
Which expressions could represent how many centimeters long Florencia's hair was after the haircut?
(The Question says to pick 2 answers out of the multiple choice options so here you go)
A. h (1-0.75)
B.(1- 75/100) h
C. 3/4 h
D. 0.75 h
E. 1/4 h
Answer:
D
Step-by-step explanation:
75/100 = .75 x the Monday length (h)
Plsss help me ASAP plss
Answer: x gte -6 if not try -6 lte x
Step-by-step explanation:
PLEASE HELP ME ON THIS PROBLEM
Answer:
DB!
Step-by-step explanation:
a) [tex](x+50)^{2} = x^{2} +100x+2500[/tex]
b) Plug the value in! [tex](15+50)^{2} = 65^{2} = 4225[/tex]
Hope I helped! Check out my profile for more answers!
New York City is approximately 205 miles from Washington, D.C. How far apart will these cities appear on a map with the scale 1 in: 50 miles?
Answer: 4.1 inches
Step-by-step explanation:
From the question, we are informed that New York City is approximately 205 miles from Washington, D.C.
The distance that these cities will appear on a map with the scale 1 in: 50 miles will be represented by x.
Therefore, x:205 = 1:50
Cross multiply
x/205 = 1/50
50x = 205
x = 205/50
x = 4.1 inches
The answer is 4.1 inches
Ms. Alonzo ordered 4,000 markers for her store. Only 1/10 of them arrived. How many markers did she receive?
Answer:
400 markers.
Step-by-step explanation:
4,000 × ¹/10 = 400.
.Answer:
To calculate a/b of some number c, where a, b, and c are any number, we do the following: a/b x c
Step-by-step explanation:
1/10 x 4,000 = 4,000/10
400 x 10
10
= 400
= 4 x 100
= 4 x 10 2
400 = 4 x 10 2 markers
Lines a and b are horizontal and parallel to each other. Line a contains points L and M and line b contains points O and N. Line c is diagonal and intersects line a at point X and line b and point Z. It also contains points H and G. Line d is diagonal and intersects line a at point X and line b at point Y. It also contains points J and K. Triangle X Y Z is created by the lines. Which represents an exterior angle of triangle XYZ? ∠LXZ ∠JXM ∠JXZ ∠HXJ
Answer:
The exterior angle of triangle XYZ is;
∠JXM
Step-by-step explanation:
The question is a word problem with the given parameters;
The points on line 'a' = L and M
The points on line 'b' = O and N
The point line 'c' intersect line 'a' = X
The point line 'c' intersect line 'b' = Z
The points on line 'c' = H and G
The point line 'd' intersect line 'a' = X
The point line 'd' intersect line 'b' = Y
The points on line 'd' = J and K
From the drawing of triangle XYZ created with Microsoft Visio, the exterior angle is ∠JXM
Answer:
Step-by-step explanation:
the answer is JXZ
Having trouble solving this
opt1.
667/1000
=66.7
hope u understand
Answer:
more like dividing the up ones with bottom ones
EX 717/1000=0.717
Use the properties of exponents to simplify the following expressions
1. 5³⋅5⁴
5⁷
5¹²
5⁻¹
5
2. (2⁸)²
2¹⁶
2⁶
2¹⁰
2⁴
3. Anything raised to a power of zero is always:
0
itself
1
negative
4. n²⋅n⁴⋅n⁵
n²²
n¹³
n⁴⁰
n¹¹
5. 8⁷ ⁄ 8²
8⁵
8¹⁴
8⁹
1⁵
6. 3⁻⁴
3^4
-3^4
1 ⁄ 3^4
1 ⁄ 12
7. 7⁰
0
7
-7
1
8. Fill in the blank with the correct exponent to make the statement true.
3^16 = (3^8)(3^_ )
2
4
8
1
9.Which is equivalent to 5 x 5 x 5 x 5
5^3
4^5
5^4
5^5
10. Which is equivalent to 3^4Respuesta necesaria. Opción única.
27
81
9
12
Answer:
Below in bold
Step-.by-step explanation:
1. 5 ^(3+4) = 5^7.
2. 2^(8*2) = 2^16.
3. 1.
4. n^11
5. 8^(7-2) = 8^5.
6. 1 / 3^4.
7. 7.
8. 8.
9. 5^4.
10. 81.
What is the y intercept and slope??
Answer:
y = .5x+30
Step-by-step explanation:
[tex]m= \frac{y2-y1}{x2-x1}[/tex]
hope this helps, good luck :)
Find a coterminal angle to 626 degrees
Answer:
266
Step-by-step explanation:
Which expression is equivalent to 3x/x+1 divided by x + 1?
Answer:3x+4/x+1
Step-by-step explanation:
please help
How are transformations related to congruence?
Answer:
Congruence transformations
transformations that are performed on an object that can create a congruent object
9. Teresa was taking her two children to the zoo. She purchased 1 adult ticket for herself and 2 children's
tickets for a total of $18.20. A family of 5 was also visiting the zoo. -The family purchased 2 adult tickets and
3 children's tickets for a total of $30.90. How much money did an adult ticket cost?
Answer:
plz mark as brainliest
Step-by-step explanation:
$7.9
:) lol
lollololol
:):):):):):):)
Answer:
32 m^2
Step-by-step explanation:
First find the volume of the bottom section
V = l * w*h
V = 6 * 2 * 2 = 24 m^2
Then find the volume of the top section in green
The length is 6-4 =2, the height is 4-2, width is 2
V = = l*w*h = 2*2*2 = 8
Ad the volumes together
V = 24+8 = 32 m^2
Answer:
thanks for the points back
Step-by-step explanation:
5.please help this is timed
Answer:
A
Step-by-step explanation:
Answer:
D. (4,-1)
Step-by-step explanation:
So, we have these two equations:
2x + y = 7
x - 2y = 6
Isolate x in the second equation:
x = 2y + 6
Substitute it into the first equation:
2(2y + 6) + y = 7
4y + 12 + y = 7
5y + 12 = 7
5y = -5
y = -1
Plug y back into the second equation:
x - 2(-1) = 6
x + 2 = 6
x = 4
So, the correct answer is D. (4,-1)
Hope this helps!!
- Kay :)
Triangle V P M. Angle V is 52 degrees, angle P is 78 degrees, angle M is x degrees.
Answer:
[tex]x = 50[/tex]
Step-by-step explanation:
[tex]52 + 78 + x = 180[/tex]
[tex]130 + x = 180[/tex]
[tex]x = 180 - 130[/tex]
[tex]x = 50[/tex]
please help me and thank you
Someone plz help me with this question with an explanation
To use the angle-angle similarity theorem you need to know 2 corresponding angles of each triangle are the same.
You are already shown that angles H and M are the same.
The sets of corresponding angles are:
H and M, N and I, and O and J
The answer would be angle O and angle J are similar.
write an equation that has the solution of X equals Y
Answer:
Step-by-step explanation:
The system of equations x + y = 1 and x – y = 2 has the unique solution x = 1 and y = –1.
There are infinite pairs of system of equations which have the unique solution x = 1 and y = –1.
Hope this information will clear your doubts about the topic.
I NEED HELP WITH THISSSSSSSS!!!!!!
Answer:
The answers should be:
LRS = 137.5
NRS = 42.5
QRN = 137.5
MNR = 42.5
RNP = 137.5
KNP = 42.5
MNK = 137.5
Step-by-step explanation:
180 - 42.5 = 137.5
Answer:
ok this is going to be kinda confusing but here:
angle lrs: 137.5
angle nrs:42.5
angle nrq:137.5
angle knp:42.5
angle rnm: 42.5
angle mnk: 137.5
angle pnr: 137.5
Step-by-step explanation:
basically everything is either 137.5 or 42.5
