Answer:)
Step-by-step explanation:
Help help math I need to pass please
Answer:
63 degrees
Step-by-step explanation:
The hint tells you that you can add the other 2 angles in the triangle to get the answer.
Help help help help hep
i think that the answer is 0 because f(2) means that you substitute 2 for x
2(2)=4
4-4=0
A spherical solid, centered at the origin, has radius 4 and mass density(x,y,z)=6-(x^2+y^2+z^2). Set up the triple integral and find its mass.
I've attached a photo of the question.
There's something very off about this question.
In spherical coordinates,
x² + y² + z² = ρ²
so that
f(x, y, z) = 6 - (x² + y² + z²)
transforms to
g(ρ, θ, φ) = 6 - ρ²
When transforming to spherical coordinates, we also introduce the Jacobian determinant, so that
dV = dx dy dz = ρ² sin(φ) dρ dθ dφ
Since we integrate over a sphere with radius 4, the domain of integration is the set
E = {(ρ, θ, φ) : 0 ≤ ρ ≤ 4 and 0 ≤ θ ≤ 2π and 0 ≤ φ ≤ π}
so that the integral is
[tex]\displaystyle \int_{\phi=0}^{\phi=\pi} \int_{\theta=0}^{\theta=2\pi} \int_{\rho=0}^{\rho=4} (6 - \rho^2) \rho^2 \sin(\phi) \, d\rho \, d\theta \, d\phi[/tex]
Computing the integral is simple enough.
[tex]\displaystyle = \int_{\phi=0}^{\phi=\pi} \int_{\theta=0}^{\theta=2\pi} \int_{\rho=0}^{\rho=4} (6 \rho^2 - \rho^4) \sin(\phi) \, d\rho \, d\theta \, d\phi[/tex]
[tex]\displaystyle = 2\pi \int_{\phi=0}^{\phi=\pi} \int_{\rho=0}^{\rho=4} (6 \rho^2 - \rho^4) \sin(\phi) \, d\rho \, d\phi[/tex]
[tex]\displaystyle = 2\pi \left(\int_{\phi=0}^{\phi=\pi} \sin(\phi) \, d\phi\right) \left(\int_{\rho=0}^{\rho=4} (6 \rho^2 - \rho^4) \, d\rho\right)[/tex]
[tex]\displaystyle = 2\pi \cdot 2 \cdot \left(-\frac{384}5\right) = \boxed{-\frac{1536\pi}5}[/tex]
but the mass can't be negative...
Chances are good that this question was recycled without carefully changing all the parameters. Going through the same steps as above, the mass of a spherical body with radius R and mass density given by
[tex]\delta(x, y, z) = k - (x^2 + y^2 + z^2)[/tex]
for some positive number k is
[tex]\dfrac{4\pi r^3}{15} \left(5k - 3r^2\right)[/tex]
so in order for the mass to be positive, we must have
5k - 3r² ≥ 0 ⇒ k ≥ 3r²/5
In this case, k = 6 and r = 4, but 3•4²/5 = 9.6.
write an expression that is equivalent to 1/3(24p-33) -iready
Answer:
8p - 11
Step-by-step explanation:
Got the same I-Ready question lol
Manny borrowed $800 at 10% annual interest. How much interest did he owe in one year?
Answer:
80
Step-by-step explanation:
2. The sum of two cubes can be factored by using the formula q3 + b3 = (a + b)(a? - ab + b).
(a) Verify the formula by multiplying the right side of the equation.
(b) Factor the expression 8x3 + 27.
(c) One of the factors of 23 - bºis a - b. Find a quadratic factor of a3 - bº Show your work.
(d) Factor the expression x3 - 1.
Factorization involves breaking down an expression.
The factorized expression of [tex]8x^3 + 27[/tex] is [tex]8x^3 + 27 =(2x + 3)(4x^2 -8x3 +9)[/tex]The other factor of [tex]2^3 - b^3[/tex] is [tex]4+2b+b^2[/tex]The factorized expression of x^3 - 1 is [tex]x^3 - 1^3=(x-1)(x^2+x+1)[/tex]The sum of cubes is given as:
[tex](a^3 + b^3) = (a + b)(a^2 -ab + b^2)[/tex]
(a) Verify the formula
Expand the expression on the right-hand side
[tex](a^3 + b^3) = a^3 -a^2b + ab^2 +a^2b - ab^2 + b^3[/tex]
Collect like terms
[tex](a^3 + b^3) = a^3 -a^2b +a^2b+ ab^2 - ab^2 + b^3[/tex]
[tex](a^3 + b^3) = a^3 + b^3[/tex]
The formula has been verified
(b) Factorized 8x^3+ 27
We have:
[tex]8x^3 + 27[/tex]
Express 27 as 3^3
[tex]8x^3 + 27 =8x^3 + 3^2[/tex]
Express 8 as 2^3
[tex]8x^3 + 27 =2^3x^3 + 3^3[/tex]
Rewrite as:
[tex]8x^3 + 27 =(2x)^3 + 3^3[/tex]
Given that:
[tex](a^3 + b^3) = (a + b)(a^2 -ab + b^2)[/tex]
The expression becomes
[tex]8x^3 + 27 =(2x + 3)((2x)^2 - (2x)3 +3^2)[/tex]
[tex]8x^3 + 27 =(2x + 3)(4x^2 -8x3 +9)[/tex]
(c)The other factor of 2^3 - b^3
By difference of cubes, we have:
[tex]x^3 - y^3=(x-y)(x^2+xy+y^2)[/tex]
So, the equation becomes
[tex]2^3 - b^3=(2-b)(2^2+2b+b^2)[/tex]
This gives
[tex]2^3 - b^3=(2-b)(4+2b+b^2)[/tex]
Hence, the other factor of [tex]2^3 - b^3[/tex] is [tex]4+2b+b^2[/tex]
(c) Factor x^3 - 1
We have:
[tex]x^3 - y^3=(x-y)(x^2+xy+y^2)[/tex]
Express 1 as 1^3 in x^3 - 1
[tex]x^3 - 1 =x^3 - 1^3[/tex]
[tex]x^3 - y^3=(x-y)(x^2+xy+y^2)[/tex] becomes
[tex]x^3 - 1^3=(x-1)(x^2+x+1^2)[/tex]
[tex]x^3 - 1^3=(x-1)(x^2+x+1)[/tex]
Read more about factorization at:
https://brainly.com/question/43919
20 is 25% of what number?
Enter your answer in the box.
Answer:
80
Step-by-step explanation:
25 percent is equal to 1/4
1/4 of 80 is 20
Answer:
80
Step-by-step explanation:
LAST ATTEMPT MARKING AS BRAINLIEST!! ( write a rule to describe each transformation)
Answer:
See explanation
Step-by-step explanation:
Dilation of 1.5 about the origin. (Each new point is 1.5 times as far from the origin.)
G (-1, 3) G' (-1.5, 4.5)
F (-2, -2) F' (-3, -3)
G'x / Gx = -1.5/-1 = 1.5
G'y / Gy = 4.5 / 3 = 1.5
F'x / Fx = -3 / -2 = 1.5
F'y / Fy = -3 / -2 = 1.5
Help pls pls pls and thank you
Answer:
2 feet: $18
4 feet: $36
5 feet: $45
$81 = 4.5 feet
10 feet = $90
Step-by-step explanation:
2 feet: $18
4 feet: $36
18 + 18
5 feet: $45
18 + 18 + 9
$81 = 4.5 feet
81/18
10 feet = $90
18 + 18 + 18 + 18 + 18
How do I get the result for 1/8 out of 40?
Answer:
5
Step-by-step explanation:
You divide your number by the denominator and then times it by the numerator
HELP PLEASE TAKING A TEST RIGHT NOW
the graph shows a system of equations
what is the solution to the system of equations?
a. -3, 2
b. 3, -2
c. 3, 2
d. -3, -2
when the height of a rectangular prism was halved, the volume was 168 cubic cm. if the original prism had a length, width, and height of consecutive integers, increasing in that order,
(a) write and equation to solve for the length, x, of the original figure,
(b) solve length, x,
(c) show that the equation is unique
show all work.
a) The equation is therefore; x³ + 3x² + 2x = 336
b) Solving for the length, we get the length to be; x = 6.
c) All workings are as shown below;
According to the question;
When the height of a rectangular prism was halved, the volume was 168 cubic cm.In essence, the volume of the original prism is;
Volume = 168 × 2.Volume = 336cm³Since, the original prism had a length, width, and height of consecutive integers, increasing in that order.
Therefore, length = xwidth = (x +1)height = (x +2)Volume = x (x+1) (x+2) = 336a) The equation is therefore;
x³ + 3x² + 2x = 336b) Solving for the length, x is as follows;
(x-6) (x² + 9x + 56) = 0By testing values and checking;
Upon solving the polynomial, x = 6.c) All workings are as shown above.
Read more on cubic equation:
https://brainly.com/question/8878887
Choose the symbol that correctly compares the fractions below.
Answer:
[tex] \frac{2}{5} > \frac{1}{6} [/tex]
Answer: B. >
#CarryOnLearning
Principal = $ 15000, rate = 10% p.a. and time
21/5 years
PLS HELP ASAP
Answer:
Simple Interest: A=P(1+rt)
A=15000(1+(0.1*4.2))
A=$21,300
Compound Interest:A=P(1+r/n)^nt
A=15000(1+0.1/4.2)^1*4.2
A=$64,500
Step-by-step explanation:
In 2 + In 8 - In 4
In 4
In 6
In 74
Answer:
in8− in4+ in2
Step-by-step explanation:
thats the aswer
Three boxes are stacked one on top of the other. One box is 4 feet 8 inches tall, one is 3 feet 10 inches tall, and one is 2 feet 7 inches tall. How high is the stack?
Write your answer in feet and inches. Use a number less than 12 for inches.
help , I have like no clue on what I'm doing
Answer:
Step-by-step explanation:
Linear equations can have the form y = mx + b
where m is the slope of the line and equals Δy/Δx
and b is the y intercept.
Just for fun, let's choose the first and last sets of data points.
Δy = (275 - 135) = 140
Δx = (5 - 1) = 4
so slope m = 140/4 = 35 and the units on the slope would be $/month
Answer:
The slope of the line is 35
Step-by-step explanation:
We'll select [tex](1,135)[/tex] and [tex](2,170)[/tex] for this problem.
The slope is defined as the rate of change. Its formula is [tex]Slope=m=\frac{Rise}{Run}=\frac{y_2-y_1}{x_2-x_1}[/tex] where our two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
Therefore, we have [tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{170-135}{2-1}=\frac{35}{1}=35[/tex] as our slope.
Josie owns 21 books. She buys 6 books every week. Write the recursive sequence to describe how number books she has.
Answer:
a1=21
an=an-1+6
Step-by-step explanation:
how many 5 letter code words can be formed from the letters of the word MATRICES
113
Hope this helped you- have a good day bro cya)
Decrease £110 by 50%
Answer:
£55
Step-by-step explanation:
50% is just another way to say 1/2. This means that 1/2 of £110 is £55.
∫(sinxdx)/(sinx^3+cosx^3)
Understand how to work with negative bases and negative exponents.
5^2 =
5^-2 =
(-5)^2 =
- 5^2 =
(Remember to find the base, then multiply.)
Answer:
[tex]Understand \: how \: to \: work \: with \: negative \: bases \\ \: and \: negative \: exponents. \\
\bold{answer - } \\ {5}^{2} = 5 \times 5 = 25 \\ {5}^{ - 2} = \frac{1}{ {5}^{2} } = \frac{1}{25} = 0.04 \\ {( - 5)}^{2} = ( - 5) \times ( - 5) = 25 \\ - {5}^{2} = ( - 5) \times ( - 5) = 25 \\ \\ \bold \purple{hope \: it \: helps \: ♡}[/tex]
After 5 throws in a game of darts, Brent's mean score was 32. Calculate his total score.
1.To know this answer, we need to know some vocabulary that's used in t. Most people don't know how to solve questions if they have hard Vocabulary and what the question is Asking
Mean=The average of all his throws
It's asking us to calculate his total score
2. Find Clues to help you solve word problems
Finding clues in Word Problems is a very important part a lot of people skip but this helps you solve the question easier
5 throws and Mean Score is 32 are the clues
3. Guess and check
The method to this thingy is called guess and check. There is another method which is slightly harder and i just don't want to do it.
Let's just say his scores were... 5, 6, 4, 5,10Add them up and you get 30Then 30/5
Let's try bigger numbers
20+25+20+20
If you like this method, you may try it another method is called work Backwards
5x32=160
Then divide 160 by 5 to double check and you get 32!!
========================================
Therefore, the answer s 160 as his total score
hope this gives you a clue to what we are doing and when you have a question like this, I really hope you understand the concept
Hope this helped (:
Which of these is opposed by kinetic friction?
Select one:
a.
a cat standing in a yard
b.
a book sitting on a table
c.
a box sliding on a floor
d.
a child leaning on a building
Answer: c
Step-by-step explanation:
Answer: C
Step-by-step explanation:
How do I find the equation of the perpendicular bisector between (-2,5) and (2,-1)?
Answer:
[tex]y = \frac{2}{3} x + 2[/tex]
Step-by-step explanation:
Start by finding the slope of the given line.
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
Slope of given line
[tex] = \frac{5 - ( - 1)}{ - 2 - 2} [/tex]
[tex] = \frac{5 + 1}{ - 4} [/tex]
[tex] = \frac{6}{ - 4} [/tex]
[tex] = - \frac{3}{2} [/tex]
A perpendicular bisector cuts through the line at its midpoint perpendicularly.
The product of the slopes of two perpendicular lines is -1.
Let the slope of the perpendicular bisector be m.
[tex] - \frac{3}{2} m = - 1[/tex]
[tex]m = - 1 \div ( - \frac{3}{2} )[/tex]
[tex]m = - 1 \times ( - \frac{2}{3} )[/tex]
[tex]m = \frac{2}{3} [/tex]
[tex]y = \frac{2}{3}x + c[/tex], where c is the y-intercept.
To find the value of c, we need to substitute a pair of coordinates that lies on the perpendicular bisector into the equation. Since the perpendicular bisector passes through the midpoint of the given line, we can use the midpoint formula to find the coordinates.
[tex]\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}[/tex]
Midpoint of given line
[tex] = ( \frac{ - 2+ 2}{2} , \frac{5 - 1}{2} )[/tex]
[tex] =( \frac{0}{2} , \frac{4}{2} )[/tex]
= (0, 2)
[tex]y = \frac{2}{3} x + c[/tex]
When x= 0, y= 2,
2= ⅔(0) +c
2= 0 +c
c= 2
Thus, the equation of the perpendicular bisector is [tex]y = \frac{2}{3} x + 2[/tex].
A rectangle is 8 feet long. Its width is represented by “seven plus x feet.” Which expression represents the area, in square feet, of the rectangle?
56 + 8x
Area of Rectangle = Length x Width
Area of Rectangle = 8(7 + x)
If triangle ABC is defined by the coordinates A(-4,-4), B(2,-2), C(0,4) is dilated by a scale factor of 1/2, with resulting vertex A’ at (-2,-2). What is the center of the dilation?
A. (0,0)
B. (0,2)
C. (0,4)
D. (-4,-4)
A
Step-by-step explanation:
the origin, (0, 0)
For center of dilation Q, the image of a point A after dilation by a factor of k is ... A' = kA + (k-1)Q Then for points A, A', and dilation factor k, the center of dilation can be found to be ... (A' -kA)/(k-1) = Q
Here, that is ... Q = ((-2, -2) -(1/2)(-4, -4))/(1/2 -1) = (0, 0)/(-1/2)
Q = (0, 0)
In six years Xavier will be 3 times older than Joanne is today. Joanne is 24. How old is Xavier?
Answer:
72
Step-by-step explanation:
PLEASE HELP FOR 100 POINTS AND BRAINLIESTT HELP PLEASE
Kim has fraction 1 over 2 cup of almonds. She uses fraction 1 over 8 cup of almonds to make a batch of pancakes.
Part A: How many batches of pancakes can Kim make with fraction 1 over 2 cup of almonds? (4 points)
Part B: On your own paper, draw a fraction model that shows the total number of batches of pancakes that Kim can make with fraction 1 over 2 cup of almonds. Make sure to label the model. Below, explain your model in detail to describe how this model visually shows the solution for Part A.
Answer:
The total number of batches of pancakes that Kim can make with the model is 4 batches of pancake
Step-by-step explanation:
Number of cups of pancakes = 2/4
Number of cups of almonds to make a batch of pancakes = 1/8
Therefore, the batches of pancakes that she can make will be:
= 2/4 ÷ 1/8
= 2/4 × 8/1
= 4
In conclusion, the number of batches of pancakes that Kim can make with the cup of almonds is 4 batches.
Please help!!!! Will give brainliest!!!!
Answer:
it is c
Step-by-step explanation: