Presumably, both δ and ρ represent density of some object. Considering the context, ρ is likely a function of 3 variables, ρ = ρ(x, y, z). Then the mass of the sphere with the prescribed density δ(x, y, z) = k ρ(x, y, z) is
[tex]\displaystyle \iiint_B k \rho(x,y,z) \, dx\, dy\, dz[/tex]
where B is the set
[tex]B = \left\{(x,y,z) ~ : ~ x^2+y^2+z^2 \le 7^2\right\}[/tex]
If you have all the details at hand, you can compute the integral by converting to spherical coordinates, substituting
[tex]\begin{cases}x = u \cos(v) \sin(w) \\ y = u \sin(v) \sin(w) \\ z = u \cos(w)\end{cases} \text{ and } dx\,dy\,dz = u^2 \sin(w) \, du \, dv \, dw[/tex]
The integral then transforms to
[tex]\displaystyle k \int_0^{2\pi} \int_0^\pi \int_0^7 \rho(u\cos(v)\sin(w),u\sin(v)\sin(w),u\cos(w)) \, u^2 \sin(w) \, du \, dw \, dv[/tex]
Without any additional information, there's not much more to say...
This recipe makes 10 flapjacks.
How much of each ingredient is needed to make 35 flapjacks by following this recipe?
Recipe: Makes 10 flapjacks
140 g margarine
120 g sugar
100 ml syrup
240 g oats
50 g raisins
Answer:
Multiply each measure of ingredients by 3.5
Step-by-step explanation:
This recipe makes 10 flapjacks. We want to be able to make 35 flapjacks.
Divide 35 by 10 to find the ratio of these 2 numbers.
35 / 10 = 3.5
Now we can multiply the measures by this number to find out how much of each ingredient we need.
140 * 3.5 = 490
120 * 3.5 = 420
100 * 3.5 = 350
240 * 3.5 = 840
50 * 3.5 = 175
Answer:
Recipe: Makes 35 flapjacks
490 g Margarine
420 g sugar
350 ml syrup
840 g oats
200 g raisins
What’s the answer????
Answer:
the last one I think. number 4
Answer: The last one
Step-by-step explanation:
It's not required by law
You have to pay $2000 on your own
It can definitely be over $500
It's a yearly amount
The pressure of a gas tank is 234.24 atm at 295 K. Whatis the gas pressureif the temperature is raised back to 333k?
Answer:
Step-by-step explanation:
The pressure of a gas tank is 234. 24 atm at 295K. What is the gas pressure if the temperature
The pressure of a gas tank is 234. 24 atm at 295K. What is the gas pressure if the temperature is raised to 333K. P1/T1=P2/T2
Barry's income can be calculated as $17 times the number of hours worked (h) added to his commission of $200. If he subtracts $300 to pay a bill, his income totals $580. Which expression represents Barry's income?
A cube-shaped box is filled with coffee beans. Which equation represents the density of coffee beans in the box? Let c represent the number of coffee beans.
Answer:
option b I guess
Step-by-step explanation:
D=c/s³ would be the answer
All of the following have the same solution except _____. 50 = 5 m x - 6 = 4 = 2 b + 2 = 8
Answer: b+2=8
Step-by-step explanation:
Help, this is my math hw and I don't get it!
Pictures are attached below...
I need to show my work too, so i need a file to your work!
I'll mark brainliest if you can answer it.
Please can anyone solve this question I need it...
I'll mark as BRAINLIEST ANSWER...
Answer:
x = 4/3
y = 0
z = 5/4
Step-by-step explanation:
PQ means multiplied matrices.
P+Q means added matrices.
PQ = =
4x+0 4y+0z 4x 4y
0x+5×0 0y+5z 0 5z
P+Q = =
4+x 0+y 4+x y
0+0 5+z 0 5+z
so, for PQ = P+Q we have
4x = 4+x
4y = y
5z = 5+z
4x = 4 + x
3x = 4
x = 4/3
4y = y
3y = 0
y = 0/3 = 0
5z = 5 + z
4z = 5
z = 5/4
Question 6 (8 points)
Please enter the binary IP address equivalent for the following decimal IP address (use the "dorted" format as shown and use 8 bits for each
Octet)
192.168.1.5 -
Blank 1:
Blank 2:
Blank 3:
Blank 4:
Answer:
blank1: 00110001 00111001 00110010
blank 2: 00110001 00110110 00111000
blank 3:00110001
blank 4:00110101
The expression (3 - 7i)2 is equivalent to
Answer:
Step-by-step explanation:
What is the least common denominator for the fractions 6/9 and 1/5
Answer:
45
Step-by-step explanation:
Calculate the least common multiple LCM(9; 5)
LCM(9; 5) = 45
Find additional factors for each fraction, for this divide LCM by the denominators of each fraction:
45 : 9 = 5 (factor of 1 fraction)
45 : 5 = 9 (factor of 2 fraction)
We multiply the numerator and denominator of each fraction by an additional factor of this fraction:
6/9=6/9 ⋅ 5/5=30/45
1/5=1/9 ⋅ 9/9=9/45
Result
6/9=30/45
1/5=9/45
Hope this Helps!
please help I will give brainiest pls
A can of juice is 5cm in diameter and 8cm high. How much juice is in a pack of 6cans
Answer:
942.84 cm³
Step-by-step explanation:
volume of 1 can = πr²h = 22/7 × 5/2 × 5/2 × 8
= 157.14 cm³
volume of juice in 6 cans = 6 × 157.14 = 942.84cm³
The possible rational roots are ±1, ±3, ±5, ±9, ±15, and ±45.
The actual roots ordered from least to greatest are?
The actual roots of the function P(x) = x^4 - 4x^3 - 4x^2 + 36x - 45 are its real roots
The actual roots ordered from least to greatest are -3 and 3
How to determine the actual roots?From the complete question, the polynomial function is:
P(x) = x^4 - 4x^3 - 4x^2 + 36x - 45
Expand the above equation
P(x) = x^4 - 4x^3 + 5x^2 - 9x^2 + 36x - 45
Factorize the equation
P(x) = x^2(x^2 - 4x + 5) - 9(x^2 - 4x + 5)
Factor out x^2 - 4x + 5
P(x) = (x^2- 9)(x^2 - 4x + 5)
Express x^2 - 9 as a difference of two squares
P(x) = (x + 3)(x - 3)(x^2 - 4x + 5)
The expression (x^2 - 4x + 5) cannot be factorized.
So, we have:
P(x) = (x + 3)(x -3)
Equate to 0
(x + 3)(x -3) = 0
Expand
x + 3 = 0 or x - 3 = 0
Solve for x
x = -3 or x = 3
Hence, the actual roots ordered from least to greatest are -3 and 3
Read more about polynomial functions at:
https://brainly.com/question/2833285
Answer:
answer in picture
Step-by-step explanation:
Write 0.00205 in scientific notation.
Answer:
Therefore, 0.00205 in scientific notation is 2.05 × 10-3 and It has 3 significant figures. In scientific e-notation it is written as 2.05e-3.
Step-by-step explanation:
Answer:
[tex]2.05 \times 10 ^{ - 3} [/tex]
Please help :) (its for my friend, cause she wont belive me!)
If your friend has 7 apples, you take 3. How much do you have?
Answer:
the answer its 3 :)
Step-by-step explanation:
matematicas amigo
can somebody help me please
Answer:
35, 13, 1, -1, 7
Step-by-step explanation:
Repeated evaluation of the same function is accomplished easily by a calculator or spreadsheet. It is a good idea to become familiar with this technology.
__
If you're doing this by hand, writing the equation in Horner form can make it easier to evaluate.
f(x) = (5x -7)x +1
Then ...
f(-2) = (5(-2) -7)(-2) +1 = (-17)(-2) +1 = 34 +1 = 35
f(-1) = (5(-1) -7)(-1) +1 = (-12)(-1) +1 = 12 +1 = 13
f(0) = 1 . . . . the constant term
f(1) = (5(1) -7)(1) +1 = (-2)(1) +1 = -2 +1 = -1
f(2) = (5(2) -7)(2) +1 = (3)(2) +1 = 6 +1 = 7
In order, the f(x) values are 35, 13, 1, -1, 7.
3/2 times 6/2 times 2
Answer:
9
Step-by-step explanation:
3/2x6/2=18/2 Simply that and it turns to 9.
Answer:
9
Step-by-step explanation:
3*6*2 = 36
2*2 = 4
36/4 = 9
I multiplied the numerators together and the denominators together.
PLEASE RATE!! I hope this helps!!
please help me thank u :)
Answer:
The answer would be 17
Step-by-step explanation:
Answer:
x = 17
Step-by-step explanation:
Pythagorean Theorem: a^2 + b^2 = c^2
15^2 + 8^2 = c^2 (15^2 = 225 and 8^2 = 64)
225 + 64 = 289
[tex]\sqrt{289}[/tex] = 17
the angles of a triangle are (x+5)bdegree,(x+10) degree and (x+15) degree. make an equation and find the Actual sizes of the angles
Answer:
See below ~
Step-by-step explanation:
Given : 3 angles of a Δ
(x + 5)°(x + 10)°(x + 15)°Solving :
According to Angle Sum Property of a triangle, the angles of a triangle add up to 180°x + 5 + x + 10 + x + 15 = 1803x + 30 = 180x + 10 = 60x = 50Finding the angles
x + 5 = 50 + 5 = 55°x + 10 = 50 + 10 = 60°x + 15 = 50 + 15 = 65°suppose we want to choose 2 colors, without replacement, from the 5 colors red, blue, green, purple, and yellow.
Answer:
black and white should do right?
There are 20 ways to choose 2 colors without replacement, considering the order of choices as relevant, from the 5 colors: red, blue, green, purple, and yellow.
If the order of choices is relevant, it means we are dealing with permutations.
To calculate the number of ways to choose 2 colors from 5 colors without replacement and with order being relevant, we use the concept of permutations.
The number of permutations of choosing r items from n distinct items is given by the formula:
P(n, r) = n! / (n - r)!
where "n!" denotes the factorial of n, which is the product of all positive integers from 1 to n.
We want to choose 2 colors from 5 colors, so n = 5 (total colors) and r = 2 (colors to be chosen).
P(5, 2) = 5! / (5 - 2)!
= 5! / 3!
= (5 × 4 × 3 × 2 × 1) / (3 × 2 × 1)
= 120 / 6
= 20
Therefore, there are 20 different ways to choose 2 colors from the 5 colors (red, blue, green, purple, and yellow) without replacement and with the order being relevant.
To learn more on Permutations click here:
https://brainly.com/question/3867157
#SPJ3
Complete question:
suppose we want to choose 2 colors, without replacement, from the 5 colors red, blue, green, purple, and yellow.
How many ways this can be done, if the order of choices is relevent
if h=5 what is 2 x (6-h
Answer:
Step-by-step explanation:
Equation : 2 × (6 - h)
Because h = 5, replace the variable h with 5.
2 × (6 - 5)
Solve the equation in the parentheses.
6 - 5 = 1
The equation is now 2 × 1, which is equal to 2.
So, 2 × (6 - h) is 2.
Hope this helped !
meter and Area
1
Casey wants to put new carpet in her bedroom. A drawing of Casey's room is below. It consists of two sections: a square and a
rectangle
The rectangular section has the same width as the square section, but wice the length. If one side of the square section measures 3
yards, how many square yards of carpet should Casey buy for her room?
A 36 square yards
OB 24 square yards
OC 18 square yards
D. 27 square yards
Answer:
18 square yards
Step-by-step explanation:
because if you do 3x3 twice then add the two numbers you get you will get 18.
what is the solution to the system of equations graph below
[tex]\large\pink{\mid{\underline{\overline{\tt { →\: (-5,1)}\mid}}}}[/tex]
Option ( A ) → (-5,1)Intersecting lines→ When two lines share exactly one common pointcuz here,the pôint where two lines meet is (-5,1) hence this is the solution of above graph.x = -5 , y = 1_______________☃️[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
ind the area of the figure.
A) 14 cm2
B) 50 cm2
C) 60 cm2
D) 64 cm2
Answer:
D) 64
Step-by-step explanation:
(10 x 12) - (8 x7) = 120-56 = 64
answer: 64 square cm
You have been selected by the members of White House to participate in a one-mile race (1 mile = 5,280 feet) on Sports Day. Another student from Blue House will race against you. You know from some trials in PE that you run at an average rate of 12 feet per second. Since the student from Blue house runs 10 feet per second, you have been asked to let him have a 1000-ft. head start.
If both of you maintain the estimated rates, would you be able to beat your opponent in the one-mile race?
REASONING: If both of you maintain the estimated rates, would you be able to beat your opponent in a one-mile race?
Answer:
Blue wins
Step-by-step explanation:
Blue runner 4280 ft / 10 ft/sec = 428 sec to finish
Red 5280 / 12 = 440 sec Blue will win
I will give Brainliest! :<
This meal costs $75.00.
Fatima used a 20% off coupon and then tax was added.
The total after the coupon and tax was $75.00.
What was the tax rate?
Submit and EXPLAIN, please!
Answer:
The discount given on the cost of the meal is $15
Step-by-step explanation:
How to calculate tax on a given price
According to the question, we are given the following information
The original cost of the meal = $75
Off coupon = 20%
Required
The number of coupons given
coupon amount = 0.2 * 75
coupon amount = $15
Hence the discount given on the cost of the meal is $15
A jar of 36 coins contains 9 pennies. What percent of the coins are Pennies
Answer:
25%
Step-by-step explanation:
The fraction of coins which are pennies
= 9/36
= 1/4.
As a percent this is 1/4 * 100
= 25%.
6 is 15% of what amount
Answer:
6 is what percent of 15? = 40.
I hope this answers your question
Question 1 of 10
How many solutions are there to the equation below?
x² =-64
A. 0
B. 2
C. 16
D. 8
E. -8