Answer:
Distributive Property.
Step-by-step explanation:
You distribute the 2 to each of the terms.
Use cylindrical coordinates to evaluate the triple integral ∭ where E is the solid bounded by the circular paraboloid z = 9 - 16(x^2 + y^2) and the xy -plane.
Answer:
[tex]\mathbf{\iiint_E E \sqrt{x^2+y^2} \ dV =\dfrac{81 \ \pi}{80}}[/tex]
Step-by-step explanation:
The Cylindrical coordinates are:
x = rcosθ, y = rsinθ and z = z
From the question, on the xy-plane;
[tex]9 -16 (x^2 + y^2) = 0 \\ \\ 16 (x^2 + y^2) = 9 \\ \\ x^2+y^2 = \dfrac{9}{16}[/tex]
[tex]x^2+y^2 = (\dfrac{3}{4})^2[/tex]
where:
0 ≤ r ≤ [tex]\dfrac{3}{4}[/tex] and 0 ≤ θ ≤ 2π
∴
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} \int ^{9-16r^2}_{0} \ r \times rdzdrd \theta[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} r^2 z|^{z= 9-16r^2}_{z=0} \ \ \ drd \theta[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} r^2 ( 9-16r^2}) \ drd \theta[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} ( 9r^2-16r^4}) \ drd \theta[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} ( \dfrac{9r^3}{3}-\dfrac{16r^5}{5}})|^{\dfrac{3}{4}}_{0} \ drd \theta[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} ( 3r^3}-\dfrac{16r^5}{5}})|^{\dfrac{3}{4}}_{0} \ drd \theta[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} ( 3(\dfrac{3}{4})^3}-\dfrac{16(\dfrac{3}{4})^5}{5}}) d \theta[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =( 3(\dfrac{3}{4})^3}-\dfrac{16(\dfrac{3}{4})^5}{5}}) \theta |^{2 \pi}_{0}[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =( 3(\dfrac{3}{4})^3}-\dfrac{16(\dfrac{3}{4})^5}{5}})2 \pi[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =(\dfrac{81}{64}}-\dfrac{243}{320}})2 \pi[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =(\dfrac{81}{160}})2 \pi[/tex]
[tex]\mathbf{\iiint_E E \sqrt{x^2+y^2} \ dV =\dfrac{81 \ \pi}{80}}[/tex]
Use the Distributive Property to multiply 9 and 37 in your head.
What is the answer?
Answer:
The answer is 333.
Step-by-step explanation:
Using the distributive property, you can do:
9 x 30 = 270
9 x 7 = 63
270 + 63 = 233.
Then, just check with a calculator. It's correct.
Hope this helps!
Answer: 333
Step-by-step explanation:
9x(30+7) = (9x30) + (9x7)
270+63=333
Why is it useful to write a ratio of fractions as a unit rate?
Answer:
When a ratio is written in fraction form, the fraction should be simplified. If it is an improper fraction, we do not change it to a mixed number. Because a ratio compares two quantities, we would leave a ratio as 41 instead of simplifying it to 4 so that we can see the two parts of the ratio.
(6n-7)+(8n+2)=23 HELP FAST PLEASE
Answer:
n=2
Step-by-step explanation:
(6n-7)+(8n+2)=23
14n-5=23
14n=28
n=2
How many chirps can you expect a cricket to make in 1 min when the outside temperature is 50 ° F ? ( it’s not 75)
F = n/4 + 37, for F = 50
50 = n/4 + 37
Subtract 37 from both sides
13 = n/4
Multiply both sides by 4
52 = n
Use the graph to estimate the x- and y-intercepts.
Answer:
x- intercept is 6 y- intercept is -18
Step-by-step explanation:
Just use the graph, this graph is hard to get the answer but you just have to estimate.
Find the sum. 4.88 + 1.6 *
Answer:
6.48
Step-by-step explanation:
Start with:
[tex]4.88[/tex]
+ [tex]1.6[/tex]
I could understand why you may be confused, so one trick is to add a [tex]0[/tex] next to the [tex]6.[/tex]
Rewrite:
[tex]4.88[/tex]
+ [tex]1.60[/tex]
Add.
[tex]6.48[/tex]
pls help it’s due today
Answer:
ion know
Step-by-step explanation:
Steve is recording the temperature of an object on Celsius and Fahrenheit scales. Relationship between the two scales is given by F = 1.8 ⋅ C. Steve will plot the Celsius readings along the y-axis and the Fahrenheit readings along the x-axis.
True or false?
Answer: FALSE
Step-by-step explanation:
what does ="" mean ?
PLEASE GIVE BRAINLIST
equal
quotation marks
HOPE THIS HELPED
Explain howto use friendly percents to find 35% of 80
Answer:
28
Step-by-step explanation:
35% × 80 =
(35 ÷ 100) × 80 =
(35 × 80) ÷ 100 =
2,800 ÷ 100 =
28
I hope this helps :)
Answer:
You would have to add two different percents to get to 35. You would need to add 25% and 10%. So, I would divided 80 by 4, which gets me 20, and divided 80 by 10, which gets me 8. If you add 20 and 8 together, that gets you 28. Your answer is 28.
Not sample answer, but correct
Which statement is NOT true? Select all that apply 4.913 is less than 4.931 8.001 is greater than 8.002 5.63 is equal to 5.630 7.831 is less than 7.809 10 5 is equal to 100,000
Brian is planning to donate 13% of his income to charity. His weekly paycheck is $667.63. How much does Brian plan to donate?
Answer:
Brian is planning on donating $86.79.
Step-by-step explanation:
The first step is to write 13% in decimal form. We then multiply, .13 x 667.63=$86.79
Which statement about speed and/or velocity is true? an airplane was at 34500 feet in the air before it descents the airplane descends at a rate of 1725 feet/minute how long does it take for the plane to touch down on the air strip
Answer:
ndjdjd sjsjns sjsjns snsjsbs sbnb hi x xnxnxx bz
Step-by-step explanation:
d
I need help with this geometry question
Answer:
Angle [tex]AEC=80[/tex]°
Step-by-step explanation:
If I spent $3.87 on grapes at Tom Thumb and I bought 3.05 pounds. How much was each pound?
(round to the nearest hundredths place because it is money)
Answer:
$1.26 or $1.27 depending on whether you round up or down. The number in the thousandths is an 8 though
Step-by-step explanation:
You would divide 3.05 by itself to get one pound
and then 3.87 by 3.05. You have to divide both numbers so you get the number for one pound.
3.87÷3.05=1.268852459
Round up or down depending on what your teacher would want you to do so that the decimal is in the hundreths like money.
a. {1, 2, 3, 4, 5} = {x | x E N and x < 5}
True or False
Answer:
true
i just anwwsered this one in my lessons
How do you solve 3(2×+5)-(4×_9)
Answer: 3(2×+5)-(4×9) = -15
Step-by-step explanation:
can someone help me
Answer:
measure k is also 50 degrees
If two opposite sides of a square are increased by 8 meters and the other sides are decreased by 5 meters, the area of the rectangle that is formed is 68 square meters. Find the area of the original square.
Answer:
21
Step-by-step explanation:
8 * 2 = 16
5 * 2 = 10
68 - 16 = 52 - 10 = 42.
The perimeter of the square is 42.
42 / 4 = 10.5. 10.5 is the length of a side.
10.5 * 2 = 21.
odds against a randomly chosen household having a cat if the probability of the event that a randomly chosen household has a cat is .21
Step-by-step explanation:
Odds against = failures / successes
Probability = successes / (successes + failures)
0.21 = cats / (cats + no cats)
1 / 0.21 = (cats + no cats) / cats
4.76 = 1 + (no cats / cats)
3.76 = no cats / cats
So the odds against are 3.76 to 1.
Help...giving 20 points (number 3 nothing else)
Answer:
see below
Step-by-step explanation:
[tex](\frac{7}{2} )^{4} =\frac{7^4}{2^4}=\frac{2401}{16}[/tex]
[tex](7*2^3)^3=7^3*2^{3*3}=343*2^9=343*512=175616[/tex]
[tex](7^2)(7^2)=7^{2+2}=7^{4}=2401[/tex]
[tex](7^2)(7)^0=7^{2+0}=7^2=49[/tex]
[tex](\frac{7}{2}) ^{-4}=\frac{7^{-4}}{2^{-4}}=\frac{2^{4}}{7^4} =\frac{16}{2401}[/tex]
[tex]\frac{7^6}{7^3} =7^{6-3}=7^{3}=343[/tex]
i don't know if you need all the numbers if you don't copy till when it has the exponents
State the name of the property illustrated. (x + 7) + [-(x + 7)] = 0
Answer:
addittional property
Step-by-step explanation:
Please help (word problem)
Answer:[tex]2s^{2} +11s+15[/tex]
Step-by-step explanation:
lenght of the pool = 2s+5
width of the pool= s+3
Area= [tex]l*w[/tex]
Just substitute the l and w
Area= [tex](2s+5)(s+3)[/tex]
=[tex]2s^{2}+5s+6s+15[/tex]
=[tex]2s^{2} +11s+15[/tex]
Look at the factorization below. Which of the following would be a factor of 144? 144 = 3 × 4× 3× 4 a. 7 b.27 c.32 d.48
Answer:
Step-by-step explanation:
d) 48 is a factor of 144 as 48 multiplied by 3=144
The factor of the given number 144 is 48 and this can be determined by using the definition of the factors.
Given :
Number -- 144
The following steps can be used in order to determine the factors of the given number 144:
Step 1 - Equate the given number with any variable 'x'.
[tex]x = 144[/tex]
Step 2 - Number which is multiplied to another to get the final number is known as factors.
Step 3 - So, the factors of the given number 144 is:
[tex]144=48\times 3[/tex]
Therefore, the correct option is d).
For more information, refer to the link given below:
https://brainly.com/question/6810544
1. -x divided by 11
2. z multiplied by - 5
working pls
Answer:
1. [tex]-x \div 11 = \frac{-1}{11}x[/tex]
2. [tex]z \times -5 = -5x[/tex]
Hope this helped you!
Sarah plans to sell decorative signs at an upcoming craft market. If it costs her $3.50 to make each sign, and she paid a one-time fee of $185 to rent a booth at the market. If Sarah sells each sign for $15.75, how many signs will she need to sell for her expenses to be no more than her earnings?
Answer:
I need that answer too
Step-by-step explanation:
Which best describes the dimensions of a plane?
A plane has zero dimensions because it represents a location on the coordinate plane.
A plane has one dimension because it is made up of an infinite number of points.
A plane has two dimensions because it is a flat surface that has length and width but no depth.
A plane has three dimensions because it is made up of exactly three noncollinear points.
Answer: C) 2 dimensions; flat surface of length and width, but no depth
One way to think of a plane is to think of a flat sheet of paper that extends infinitely in all directions. The paper must be kept flat without any bends.
The statement that describes the dimensions of a plane is (c) a plane has two dimensions because it is a flat surface that has length and width but no depth.
To understand what a plane is, take a look at a flat surface such that:
PaperTop of a tableA white or black boardEtc.Notice that the above surfaces have just two dimensions (horizontal and vertical).
This is so because they are flat surfaces, and they have no heights
Hence, the statement that describes the dimensions of a plane is (c)
Read more about planes at:
https://brainly.com/question/13459927
How to be good at ratios
Answer:to be good at ratios you must simply look at the numbers and count them in the order that the question asks for
Step-by-step explanation:example 4:2 :::: ;; there are 4 : and 2 ;
The set of values that makes an equation true is called
Answer:
Step-by-step explanation:
A solution is any value of a variable that makes the specified equation true. A solution set is the set of all variables that makes the equation true. The solution set of 2y + 6 = 14 is {4}, because 2(4) + 6 = 14.
Answer:
Solution
Step-by-step explanation:
To make the equation true, you need to have proof that it is correct. Therefore, a solution.