Answers
Answer:
Step-by-step explanation:
The curve is maybe a bit easier to visualize if you write it as x = 4sin(y). The area is
∫[0,π/2] (4-x) dy
= ∫[0,π/2] (4-4sin(y)) dy = 2π-4
∫4-4sin(y) dy = 4y + 4cos(y)
This is a bit easier than using vertical strips, where the area is
∫[0,4] arcsin(x/4) dx
since integrating arcsin(x/4) involves integration by parts.
u = arcsin(x/4)
du = 1/√(16-x^2) dx
dv = dx
v = x
∫arcsin(x/4) dx
= x arcsin(x/4) - ∫x/√(16-x^2) dx
= x arcsin(x/4) + √(16-x^2)
Related Questions
Which expression can be written as 2 • (4 + 9)?
A. 2 • 9 + 4
B. 2 • 4 + 9
C. (2 • 4) + (2 • 9)
D. (2 + 4) + (2 + 9)
Answers
Answer:
C
Step-by-step explanation:
What is the constant of proportionality between p and n?
Mr. Lopez teaches his classes how to make maraca
instruments by filling plastic eggshells with dried
beans. Mr. Lopez uses the equation p = 0.75n to
find the number of pounds p, of beans needed for
n classes.
Use the number pad to enter your answer in the box.
Answers
Answer:
0.75
Step-by-step explanation:
Constant of proportionality between p and n, is the ratio of both proportional quantities.
Thus, given the equation, [tex] p = 0.75n [/tex], of which Lopez uses, this equation represents the relation between both quantities.
The ratio of p and n = the constant of proportionality.
Thus:
[tex] p = 0.75n [/tex]
[tex] \frac{p}{n} = \frac{0.75n}{n} [/tex]
[tex] \frac{p}{n} = 0.75 [/tex]
Constant of proportionality = 0.75
1. Anthony's team won the basketball game, scoring seventy-two points.The
other team only scored fifty-five points. Anthony scored 12 of those points, and
the six other players each scored the same number of points.How many points
did each of his teammates score?
Answers
A dog eats .5 of a pound of food every 50 minutes, at this rate how many pound will the dog have eaten after 200 minutes
Answers
The number of rate eaten by dog after 200 minutes: 2 pounds
What is ratio & proportion ?A ratio is a divisional comparison of two quantities. It uses a fraction or quotient to represent the relationship between two numbers or quantities. For instance, we can describe the ratio 3:5 or the fraction 3/5 if we declare that there are 3 guys for every 5 ladies in a classroom.
Contrarily, the proportion equation declares that two ratios are equivalent. We can utilise proportion to solve problems with unknown amounts if we have two ratios that are equivalent.
We can use proportion to solve this problem:
If a dog eats 0.5 pound of food every 50 minutes, then in 1 minute, the dog will eat 0.5/50 = 0.01 pound of food.
Therefore, in 200 minutes, the dog will eat 0.01 x 200 = 2 pounds of food.
So the dog will have eaten 2 pounds of food after 200 minutes.
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The points on a section of an exam is given by the function fx, where x is the number of questions answered correctly in that section. If f12=18, then a test-taker receives 18 points for answering _____ questions in the section correctly.
Answers
Answer: 12
Step-by-step explanation:
Given the function :
f(x),
x is defined as the number of questions answered correctly in a certain section.
Thus given that the function; f(12) = 18 means a test-taker receives 18 points for answering x questions in the section correctly
The number of correct questions will be :
Compare ;
f(x) = f(12)
Hence ; x = 12 = number of questions answered correctly in the section.
The product of 5 and x decrease by 7 is as much as 42.
Answers
is 4/10 greater than 14/35?
Answers
Answer:
Nope it is equal to
Step-by-step explanation:
if you simplify both of them 4/10=2/5 and 14/35=2/5
Which is the solution of the quadratic equation (4y - 3)2 = 12?
Answers
Answer:
(4y - 3)2 = 72?y3 +/Z and yy=3-6/243+62y=and y=-3 – 6/2440y=9/… ... 12 POINTS!! 2. (2, 0) and (0, 3) The equation for these ordered pairs is ...
1 answer
Step-by-step explanation:
The diagram shows the graph of y=2x+c
Find the value of k
Answers
Answer:
can you add the photo
Step-by-step explanation:
Answer:
Value of K:
K=6.5
Step-by-step explanation:
Help me please!!!!
In a car race, for every mile covered by car A, car B covered 4 miles. The ratio of the number of miles covered by car A to the number of miles covered by car B is ___.
1 to 1
4 to 4
4 to 1
1 to 4
Answers
Answer:
1 to 4
Step-by-step explanation:
I don't think u want the explanation
(2/5) x ( - 5/4) Can someone please help me
Answers
-8n - 8 = -72 what is the answer
Answers
Answer:
8
Step-by-step explanation:
[tex]-8n - 8 = -72\\-8n = -72 + 8\\-8n = -64\\n = 8[/tex]
Answer: 8
Step-by-step explanation:
Multiplying both sides by -1, we get:
8n + 8 = 72
8n = 72-8
8n = 64
n = 64/8 = 8.
Students in a classroom have eaten 20% of jellybeans from a jar. There are now only 100 jellybeans left! How many jellybeans
were in the jar to begin with?
Answers
Answer:
125 to start with
Step-by-step explanation:
if f(x)=7x+2, evaluate f(x+1)-f(x)
Answers
On a coordinate plane, a line goes through (0, negative 3) and (2, 2). A point is at (2, negative 3).
Complete the statements about finding the equation of the line that is parallel to line n and passes through point (2, –3).
The slope of the graphed line is
.
The slope of the parallel line is
.
An equation that can be used to find the y-intercept of the parallel line is
.
The y-intercept of the parallel line is
.
The equation of the parallel line is
.
Answers
Answer:
5/2, 5/2, -3= (5/2)(2)+b, -8, y=(5/2)x-8
Step-by-step explanation:
Answer:
The slope of the graphed line is
✔ 5/2
.
The slope of the parallel line is
✔ 5/2
.
An equation that can be used to find the y-intercept of the parallel line is
✔ –3 = (5/2)(2) + b
.
The y-intercept of the parallel line is
✔ –8
.
The equation of the parallel line is
✔ y = (5/2)x – 8
.
Step-by-step explanation:
What is 7 7//8 + 2 1/4=
Answers
Answer:
14.875
Step-by-step explanation:
77/8 = 9.625 and 21/4 = 5.25
So, 9.625+5.25 =14.875
Answer: 10 1/8
............................
What is the degree of the following polynomial: 5x7+4x5-3x4+2x3-4x+10?
Answers
Answer:
20
Step-by-step explanation:
7+5+4+3+1=20
the degree of the polynomial is 20
Joshua quick made a deposit to his checking and recieved $50 in cash. His deposit slip shows a total deposit of $90. If Joshua deposited checks worth six times the value of the coins he deposited, how much did he deposit in (a) coins and (b) checks?
Answers
Joshua deposited
(a). $12.85 in coins
(b). $77.14 in checks
Linear equation in one variable?
The linear equation in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.
According to the given question
Joshua deposited checks worth six times the value of the coins he deposited.
Let Joshua deposit the value of coins be x. Then the value of x will be 6x
There is total deposit of $90.
⇒ x + 6x = 90
⇒ 7x = 90
⇒ [tex]x = \frac{90}{7}[/tex] =$12.85
Therefore,
[tex]6x = \frac{90(6)}{7} =\frac{540}{7}[/tex] = $77.14
Hence, he deposit total $12.85 in coins and $77.14 in checks.
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Daniel has 2 cookies, Maya has 2 Cookies. If Daniel and Maya put their cookies together how many will the have in all. Please help, I can't figure this one out.
Answers
Answer:
4 cookies
Step-by-step explanation:
2+2+=4
Answer:
I do believe that it is 4.
Step-by-step explanation:
They both have 2 cookies, and putting them together will be 4. 2 + 2 = 4
What is the degree of g(x) =5x +6x^7 - 8x^3
Answers
The degree of the polynomial is 7 as the highest power in its terms is 7.
So, the correct option is A.
What is the degree of a polynomial?The degree of a polynomial is the highest power that its terms pertain (for multi-variables, the power of term is the addition of the power of variables in that term).
Thus, in
[tex]g(x) =5x +6x^7 - 8x^3[/tex]
Hence, the degree of the polynomial is 7 as the highest power in its terms is 7.
(power and exponent are the same thing)
So, the correct option is A.
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square root of complex no. a+bi.....please answer it fast i m waiting
Answers
Step-by-step explanation:
[tex](x { }^{2} - {y}^{2} ) {}^{2} = ( {x}^{2} + y {}^{2} ) {}^{2} - 4x {}^{2} y {}^{2} [/tex]
27 sandwiches using 12 pounds
Answers
I hope this will help
Given BCM=ZYR find each missing measure
Answers
Answer:
Step-by-step explanation:
Since, ΔBCM ≅ ΔZYR,
∠B ≅ ∠Z
∠C ≅ ∠Y
∠M ≅ ∠R
And BC ≅ ZY
CM ≅ YR
BM ≅ ZR
a). CM = YR = 11 m
b). BM = RZ = 15 m
c). YZ = BC = 8 m
d). m∠B = m∠Z = 45°
e). m∠M = 180° - [m(∠B) + m(∠C)]
= 180° - (45 + 103)°
= 180° - 148°
= 32°
f). m∠Y = m∠C = 103°
The side lengths are as follows: YZ is 8, BM is 15, and CM is 11. and angle B has a measure of 45 degrees. The angle C is 103 and the angle m is 32.
What is a Congruent triangle?
Congruent triangles are two triangles that are the same size and shape. They remain congruent if we flip, turn, or rotate one of two congruent triangles. If the sides of two triangles are the same, they must have the same angles and thus be congruent.
Congruent triangles have equal corresponding sides and angles
The measure of the side lengths are: YZ = 8,BM = 15 and CM = 11
The measure of the angles is angle B = 45. angle C = 103 and angle m =32
The given parameter is:
Tri angle BCM = Triangle ZYR
This means that triangles BCM and ZYR are congruent.
So, we have the following congruent sides
YZ = CB
BM = ZR
CM = YR
so, the measure of the side lengths are:
YZ = 8
BM = 15
CM = 11
Also, we have the following congruent angles
angle B = angle Z
angle C = angle Y
angle M = angle R
the measure of the angles are
angle B = 45
angle Y = 103
The measure of angle M is calculated using:
∠M + ∠C + ∠B = 180
∠M = 32
Therefore, The measure of the side lengths is: YZ is 8, BM is 15 and CM is 11. and The measure of the angles is angle B is 45. angle C is 103 and angle m is 32.
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Write an equation with an exponent for 39mm=0.039
Answers
Answer:
An equation would be 39 divided by 10^3= 0.039
Step-by-step explanation:
Hope this helps!! ;-)
y = 4(x - 2)(x + 6)
what is this factored out
Answers
Start with factoring (x-2)(x+6) using distribution
Then multiply it by 4
All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours. c How many hours would it take to fill the order if the number of working machines increased by factor of 4?
Answers
9514 1404 393
Answer:
5.5 hours
Step-by-step explanation:
The presumption in these cases is that the rate of doing work is proportional to the number of machines. So, 4 times as many machines can do the work 4 times as fast. That is, the same job can be completed in 1/4 the time:
(22 h)(1/4) = 22/4 h = 5.5 h
It would take 5.5 hours to fill the order.
Answer:
5.5
Step-by-step explanation:
it is 5.5 because
22 divided by 4 is 5.5
the answer is 5.5
in my class it says increased by 2 not 4
so my answer is 11
because 22 divded by 2 is 11
Find 4,290 + 3,602. Explain how to use mental math to solve.
Answers
explanation: add each number individually left to right. 4+3 , 2+6 , 9+0 , 0+2
The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.Select the equation and its solution that can be used to determine the cost,x, of 1 doughnut.
Answers
The equation for the situation is [tex]5x+6(0.95)=11.95[/tex]
The solution to the equation is [tex]x=1.25[/tex]
First, you must set up the equation.
[tex]5x+6(0.95)=11.95[/tex]
Then, you must simplify the terms.
[tex]5x+5.7=11.95[/tex]
Next, subtract 5.7 on both sides.
[tex]5x=6.25[/tex]
Finally, divide 5 on both sides
[tex]x=1.25[/tex]
The cost of each doughnut is $1.2 and the equation is 5(0.95) + 6x = 11.95 if the total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.
The cost of 1 doughnut is x.
Total cost = $11.95
Total cost = 5(0.95) + 6x
11.95 = 5(0.95) + 6x
Or
5(0.95) + 6x = 11.95
After solving
x = $1.2
Thus, the cost of each doughnut is $1.2 and the equation is 5(0.95) + 6x = 11.95 if the total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.
The options are:
6(0.95) + 5x = 11.95
5(0.95) - 6x = 11.95
5(0.95) + 6x = 11.95
5(0.95) + 6(11.95) = x
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If the function y = xa − 31 is a linear function, what is the value of a?
Answers
Answer:
it should be 1
Step-by-step explanation:
Simplify 5⁶/5³
A. 5³
B. 5²
C. 1³
D. 1²
Answers
Answer:
d
Step-by-step explanation:
Answer:
A. 5^3
Step-by-step explanation:
5^6 = 15625
5^3 = 125
15625/125 = 125