This question is incomplete, the complete question is;
Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places.
x² + 9y² = 9
(a) About
y = 3
(b) About
x = 3
Answer:
a) the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288
b) the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288
Step-by-step explanation:
a) the volume of solid of revolution
about y=3
Using SHELL METHOD;
Volume V = 2π . [tex]\int\limits^1_{y=-1} \,[/tex] (3-y) (2.3√(1-y²)) dy
= 12π . [tex]\int\limits^1_{y=-1} \,[/tex] (3-y) √(1-y²) dy
= 12π . [tex]\int\limits^1_{y=-1} \,[/tex] (( 3√(1-y²) - y(√(1-y²)) dy
= 12π[ [tex]\frac{3}{2}[/tex]π - 0 ]
= 18π² = 177.652879 ≈ 177.65288
Therefore, the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288
b)
the volume of solid of revolution
about x=3
Using SHELL METHOD;
Volume V = [tex]\frac{4}{3}[/tex]π . [tex]\int\limits^3_{y=-3} \,[/tex] (3-x) ([tex]2.\frac{1}{3}[/tex]√(9-x²)) dx
= [tex]\frac{4}{3}[/tex]π . [tex]\int\limits^3_{y=-3} \,[/tex] (3-x) √(9-x²) dx
= [tex]\frac{4}{3}[/tex]π . [tex]\int\limits^3_{y=-3} \,[/tex] (3√9-x² -x√(9-x²) dx
= [tex]\frac{4}{3}[/tex]π [ [tex]\frac{27}{2} \pi[/tex] - 0 ]
= 18π² = 177.652879 ≈ 177.65288
Therefore, the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288
What is the measure of
Angles are not necessarily drawn to scale.
I hate math
x= 139°
180-41= 139°
hope this helped:)
Help&EXPLAIN
Don’t use for points or I’ll take it back and report
what is this ???? ??????????????
Answer:
I READY
Step-by-step explanation:
Evaluate 32 + (6 - 2) · 4 -
6
(1 point)
(a)20
(b)23
(c)50
(d)26
Answer:
Its D because I did the math
1/4 K +1/4 M -2/3 K +5/9 M simplified
Answer:
-5/12k -11/36m
Step-by-step explanation:
What is the degree of 7 x6 - 6x5 + 2x3 + x-8?
O A. 6
O B. 7
O c. 5
O D. 8
PLEASE HELP MATH MIDTERM
Find the measure of angle A. Round only your final answer to the nearest hundredth.
Answer:
73.74 degrees
Step-by-step explanation:
The pool shown below is drawn to scale. If the actual diameter of the pool is 16 feet, then what is the actual depth of the pool?
Answer:
10.67
Step-by-step explanation:
15/3 x 2/2= what is the answer there are more than one I need help fast
Answer:
the answer is 5
Step-by-step explanation:
15/3=5
2/2=1
5×1=5
Answer:
5
Step-by-step explanation:
First multiply the numerators and denominators.
15 x 2 = 30
3 x 2 = 6
Then divide
30/6 = 5
What is the answer to 1014.16667 rounded to the nearest tenths
Answer:
I believe it would still be 1014.16...etc
because if the 1 after the decimal were a 5, then it would be 1015..., but even if you were to round the one to 2, that is still under 5...
so I think it'd remain the same.
Four fundamental factors affect the cost of money: (1) the return that borrowers expect to earn on their investments, (2) the preference of savers to spend their income in the current period rather than delay their consumption until some future period, (3) the risks associated with the investment, and (4) expected inflation. Consider the following statements that address these factors, and indicate which you think are true.
Statement 1: All things being equal, savers and investors expect to receive some amount of maturity premium as compensation for their deferred consumption.
Statement 2: Historical inflation rates, as opposed to expected future rates of inflation, should be used when calculating an investment’s nominal risk-free rate of return.
Statement 3: An investment that can provide a 10% return should attract more investment capital than an otherwise identical investment that can only provide a 6% return.
Statement 4: The inflation premium used to calculate the nominal interest rate on a five-year security should be equal to the rate of inflation expected in year 5 of the investment.
The true statements are:_______.
a. 1, 2, 3, and 4
b. 2 and 4
c. 1, 2, and 3
d. 1 and 3
Answer:
The true statements are 1 and 3
Step-by-step explanation:
Statement 1 -
All things being equal ,the savers and investors expect to receive some amount of maturity premium as compensation for their deferred consumption.
Statement 3 -
An investment that can provide a 10% return should attract more investment capital than an otherwise identical investment that can only provide a 6% return.
It is true because the return is higher than the return of identical investment therefore the higher returns will attract more investment.
Statement 2-
It is a false statement.
Historical inflation rates should not be used when calculating an investment’s nominal risk-free rate of return
But the real risk free rate and inflation premium is the part of prevailing interest rates that results from lenders compensating for expected inflation should be used
Statement 4-
It is a false statement.
The inflation premium used to calculate the nominal interest rate on a five-year security should not be equal to the rate of inflation expected in year 5 of the investment.
∴ we get
Statement 1 and 3 are true.
so the question on the pic
Explanation + answers
Because there are lengths going from 0 to 1, the lines must mean either decimals or fractions (we'll use fractions for this.)
1. There are twelve lines from 0 and 1, which we can use as the denominator for our fraction. This means the length of each line is 1/12.
2. In order to find where K's point is at, we simply need to count until we get to it. After counting, I see that K is on point 8/12, which we can simplify to get a smaller number. If we simplify once, we get 4/6, which we can again simplify to get 2/3. This gives us the answer K is on point 8/12 or 2/3.
Which ordered pair is a solution of the equation y = -6x +7? (1,1) (-1,1) (-6,7) (3,-11)
Answer:
Step-by-step explanation:
(1,1) works
(3,-11) works too
A band will sell CDs of their music at their concert for $5.00 each. The band ordered 300 CDs at a cost of $1.25 each. Which inequality represents the number of CDs, n, the band needs to sell to make a profit of at least $500?
1. x is greater to or equal to 99
2. x is greater to or equal to 100
3. x is greater to or equal to 133
4. or x is greater to or equal to 134
Given:
Selling price of each CD = $5.00
Cost price of each CD = $1.25
Number of CDs ordered = 300
Profit must be at least $500.
To find:
The number of CDs needs to sell.
Solution:
Let n be the number of CDs needs to sell.
Selling price of each CD = $5.00
Selling price of x CDs = $5n
Cost price of each CD = $1.25
Cost price of 300 CDs = 300×$1.25
= $375
We know that,
[tex]Profit=S.P.-C.P.[/tex]
[tex]Profit=5n-375[/tex]
Profit must be at least $500. it means profit must be greater than or equal to $500.
[tex]5n-375\geq 500[/tex]
[tex]5n\geq 500+375[/tex]
[tex]n\geq \dfrac{875}{5}[/tex]
[tex]n\geq 175[/tex]
All options are incorrect. The required inequality is n is greater than or equal to 175.
Need help pls will give crown
2. A bag of dog food weighs 40 lb. By weight, 16% of the ingredients is turkey. Find the weight of turkey in the dog food.
a) Show the work to set up the problem. You may either use the percent equation, set up a proportion, or use a ratio table but SHOW YOUR WORK.
b) What is the weight of the turkey in the dog food according to your work in part a? Solve and show your work.
Answer: 6.4 is ur answer
Step-by-step explanation:
U need to multiply 40 and 16
what is 3 to the power -4
Answer:
0.01234567901
Step-by-step explanation:
Can a triangle be formed with the sides lengths of 7 cm, 5 cm and 12 cm?
Answer:
NO because 7+5=12
The sum must be larger (not equal to) the longest side. If it's exactly the same, there's no room to for the shorter two sides to angle up to form a triangle.
~!!!!! PLEASE HELP IM IN 7TH GRADE LEARNING 9TH AND 8TH GRADE MATH !!!!!~
QuESTION *SORRY ITS SMALL HGVCFGHJJHV*
Karen purchased a DVD player on sale. The original selling price was $171.50. The sale price was $145.22. What is the first step in finding the percent markdown? Find the percent markdown.
Answer:
15% off
Step-by-step explanation:
Answer:
i need help go to my question from this brainly.com/question/25995862
Step-by-step explanation:
26 divided by 1690 help please once again
Answer:
[tex]26 \div 1690 \\ = 0.0154[/tex]
5.
(x + 10°)
(x + 20°)
round off 174 to the nearest hundred
Answer: 200
Step-by-step explanation:
174 rounded to the nearest hundred is:
200
When rounding to the nearest hundred, like we did with 174 above, we use the following rules:
A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.
B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.
C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.
pls mark brainliest!
Answer:
200
Step-by-step explanation:
Since I helped you can you help me? Go to my most recent question and try to answer it plzzz
what is 1 4/5 + (-3 4/10) show your work !
Answer:
[tex]-\frac{8}{5} = -1\frac{3}{5}[/tex]
Step-by-step explanation:
[tex]1 \frac{4}{5} = \frac{9}{5}[/tex]
[tex]-3 \frac{4}{10} = -\frac{34}{10} = -\frac{17}{5}[/tex]
Multiply the whole number by the denominator and add that to the numerator. I simplified [tex]-\frac{34}{10}[/tex] by dividing by two getting [tex]-\frac{17}{5}[/tex]. Then add [tex]\frac{9}{5}[/tex] and [tex]-\frac{17}{5}[/tex] together. Then put [tex]-\frac{8}{5}[/tex] into a mixed fraction. How many times does 5 go into 8 and what is the remainder? The answer is -1 times and the remainder is 3. The mixed fraction is [tex]-1 \frac{3}{5}[/tex].
The expression 1 4/10 + (-3 4/10 gives the value -1 3/5.
What are Mixed Fractions?Mixed fractions are type of fractions which consist of a whole number part and a fractional part.
Mixed fractions are of the form a b/c where a is the whole number part and b/c is the fractional part.
Given expression is,
1 4/5 + (-3 4/10)
Since a positive and negative combined, it becomes negative.
Also mixed fractions can be converted into improper fractions.
1 4/5 + (-3 4/10) = 1 4/5 - 3 4/10
= [(1 × 5 + 4) / 5] - [(3 × 10 + 4) / 10]
= (9 / 5) - (34 / 10)
Making the denominator of first fraction equal by multiplying with 2 on both numerator and denominator,
1 4/5 + (-3 4/10) = [(9 × 2) / (5 × 2)] - [34 / 10]
= (18 / 10) - (34 / 10)
= -16 / 10
= -1 6/10
= -1 3/5
Hence the value of the expression is -1 3/5.
Learn more about Mixed Fractions here :
https://brainly.com/question/29264210
#SPJ2
Responses which are acquired after birth are called _____ responses.
Answer:
Learned
Step-by-step explanation:
I luv u!
w=
she suznsnsja. s
anna abs
s
sm
Answer:
-32
Step-by-step explanation:
Rewrite the equation using the distributive property
2(9x+4)
Answer:
18x+8
Step-by-step explanation:
distribute
2 x 9x = 18x
2 x 4 = 8
Hope This Helps!!
PLZ HURRY IT'S URGENT!!!
What are the roots of the quadratic?
-3 and 0
-3 and 1
-1 and 3
-1 and -3
Answer:
Roots are also called x-intercepts or zeros. A quadratic function is graphically represented by a parabola with vertex located at the origin, below the x-axis, or above the x-axis. Therefore, a quadratic function may have one, two, or zero roots. are given by the quadratic formula.
Step-by-step explanation:
Please answer with explanation, I don't understand.
[tex]\sqrt{x^2-14x+49} =x-7[/tex]
Answer: x ≥ 7
Step-by-step explanation:
You have to square both sides of the equation. You can manipulate an equation or function any way imaginable as long as it is done equally and helps the problem become easier. If we square this, the radical will cancel and we will get two trinomials equal to each other.
[tex]x^2-14x+49=(x-7)^2\\x^2-14x+49=x^2-14x+49[/tex]
We can see the two expressions are exactly equal to each other. All real numbers are solutions, besides a few. These few are when the radical is equal to a negative number. So lets set up an inequality stating that the radical must be greater than or equal to 0.
[tex]x^2-14x+49\geq 0\\(x-7)^2 \geq 0\\x \geq 7[/tex]
Which ordered pair is the solution set for this system of equations?
x + y = 8
y = x - 3
Answer:
(11/2, 5/2)
Step-by-step explanation:
x+x-3=8
2x=11
x= 11/2
y= 11/2-3
y= 5/2
what is the missing number in 100+
blank=1,0000
Answer:
9900
Step-by-step explanation:
Answer:
0.01
Step-by-step explanation: