Answer:
(2 + 8 x^2 - x^3) + (2 x^3 - 3 x^2 + x - 2) - (3 x - 7 x^3 + 5 x^2) = 8 x^3 - 2 x
Step-by-step explanation:
evaluate f*ds where f = <3xy^2,3x^2y,z^3> and m is the surface of the sphere of radius 5 centered at the origin
The value of f.ds = 20π.
What is Flux?The quantity of electric or magnetic field lines that flow across a surface in a specific period of time is known as flux. Field lines offer a way to visualise the size and direction of the field under study.
Given:
f = <3xy²,3x²y,z³>
Using Divergence Theorem
P= 3xy²
Q= 3x²y
R = z³
So, dP/ dx= 3y²
dQ/ dy = 3x²
dQ/ dz = 3z²
So, [tex]\int\limits\int\limits\int\limits dV[/tex]= [tex]\int\limits\int\limits\int\limits (dP/ dx + dQ/dy+ dR/dz)[/tex]
= [tex]\int\limits\int\limits\int\limits[/tex] (3y² + 3x² + 3z²)
= [tex]\int\limits\int\limits\int\limits[/tex] 3 (y² + x² + z²)
Since the radius is 5.
= [tex]\int\limits\int\limits\int\limits[/tex] 3(5)
= 15 [tex]\int\limits\int\limits\int\limits[/tex] dV
= 15 (4/3)π
= 20π
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How many pennies are on the nth square? 2n 2n â€"" 1 2n 1 2n â€"" 1 2n 1.
The number of pennies is an illustration of pattern and sequence.
The number of pennies in the nth square is [tex]2^{n-1[/tex]
From the complete question, we have the following parameters
[tex]f(1) =1[/tex]
[tex]f(2) =2[/tex]
[tex]f(3) =4[/tex]
[tex]f(4) =8[/tex]
Rewrite the functions as follows:
[tex]f(1) = 2^0[/tex]
[tex]f(2) = 2^1[/tex]
[tex]f(3) = 2^2[/tex]
[tex]f(4) = 2^3[/tex]
Express 3 as 4 - 1
[tex]f(4) = 2^{4-1[/tex]
Replace 4 with n
[tex]f(n) = 2^{n-1[/tex]
Hence, the number of pennies in the nth square is [tex]2^{n-1[/tex]
Read more about pattern and sequence at:
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I need seriously help. Exponents suck.
this pictute ⇊
Answer:
4.5 × 10^46
Step-by-step explanation:
(4.8 × 10^19) · (9.47 × 10^26) = 4.5 × 10^46
Can someone plz help me? :(
Answer:
The answer is A
Step-by-step explanation:
Both equal 48
In(3x-1)+4 i don't know the answer
Answer:3x+5
Step-by-step explanation:
Answer:
In(3xe^4 - e^4)
Step-by-step explanation:
In(3x-1)+4
convert the constant to a log with base e:
In(3x-1) + In(e^4)
Simplify the expression:
In((3x-1)e^4)
Remove the parentheses:
In(3xe^4 - e^4)
Hope it help !
The solution of the equation 3 + 5 (t-1) = 33 is ________.
Answer:
the solution is = 7
[tex]3 + 5(t - 1) = 33 \\ = > 3 + 5t - 5 = 33 \\ = > 5t = 33 - 3 + 5 \\ = > 5t = 30 + 5 \\ = > 5t = 35 \\ = > t = \frac{35}{5} \\ = > t = 7[/tex]
Answer:
7
Hope you could get an idea from here.
Doubt clarification - use comment section.
in math what does it mean for something to be “squared”
someone pls explain
Answer:
its an exponent of 2
Step-by-step explanation:
2
3. = 3 ×2 or 3+3
Can someone please give me the (Answers) to this? ... please ...
Answer:
Step-by-step explanation:
Need to review this problem for finals help pls
Answer:
Step-by-step explanation:
Slope form: y=mx+b
given slope and x intercept:
y=3x+b
let y=0
0=3(7)+b
b=-21
so:
ANSWER: y=3x-21
PLEASE HELP!!! WILL GIVE BRAINLIEST!!!!
2/5% as a fraction
Pld
Hey there!
2/5%
= 2/5
= 2 ÷ 5
= 0.40
= 0.40 × 100
= 40%
Therefore, your answer is: 40%
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
I need help
What does x² equal?
Answer: we need to know what the equation is
Step-by-step explanation:
Ayudaaa necesito resolver 2 ejercicios
A) √x+2=x
B) 3+√2x-6=x
Answer:
A) x=4
B)x=[tex]\sqrt{2}[/tex]+3 or 7.24
Step-by-step explanation:
Share 120 in the ratio 3:5:7
Answer:
24:40:56
Step-by-step explanation:
3+5+7=15
120/15=8 1 Ratio is 8
3x8=24
5x8=40
7X8=56
i dont know if its the easiest method
Solve for a.
4(a +3) = 12 + 40
=
-3
-1
no solution
all real numbers
Answer: All real numbers.
Step-by-step explanation:
4(a+3) = 12 + 4a
4a + 12 = 12 + 4a
Any value of a will work in this equation, since it is a simple identity. 4a + 12 will always equal 4a + 12, regardless of a.
All real numbers, although I don't know why imaginary numbers wouldn't also work.
Meg visited her Aunt Clare for lunch. After they ate, Aunt Clare made tea. She put the same amount of black tea and milk in both their cups, but Meg decided to add some extra milk to hers. Which cup of tea was darker after they had finished adding milk?
Answer:
Aunt Clare
Step-by-step explanation:
Milk makes tea weaker, therefore the one with less milk (Aunt Clare's) is darker.
Answer:Aunt clares is darker
An 8 ounce steak costs $12.80. How much would a 32 ounce steak cost?
Answer:
12.80 divided by 8 = 1.60
1.60 x 32 = 51.20
Step-by-step explanation:
1+12-9+23409-1238 -12313+122321
What force must be applied to a truck of mass 300kg for it to accelerate at 5m/s2
Answer:
mass=300kg
acceleration=5m/S2
force=?
Now,
force= m×A
=300kg×5
=1500 Newton answers
Step-by-step explanation:
hop this may help you
please help me asap
ty :)
Answer:
y = 5x+7
Step-by-step explanation:
Parallel lines have the same slope so y = 5x+9 is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 5
The new line will have a slope of 5
y = 5x+b
We know a point on the line (-2,-3)
Substitute this point into the equation
-3 = 5(-2)+b
-3 = -10+b
-3+10 = b
7 = b
y = 5x+7
[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
The line parallel to y = 5x + 9 is given in the form of y = mx + c. Here,
m = slope c = y-intercept (x = 0)The new line will have a y-intercept and a slope of line which is given by y = 5x + b. The point on line is (-2, -3).
Placing this point in the upper equation,
[tex]:\implies\rm{ - 3 = 5( - 2) + b}[/tex]
[tex]:\implies\rm{ - 3 = - 10 + b}[/tex]
[tex]:\implies\rm{ - 3 + 10 = b}[/tex]
[tex]:\implies\rm{7 = b}[/tex]
Placing b = 7 in equation we get,
[tex]:\implies\rm{y = 5x + b}[/tex]
[tex]:\implies\rm{y = 5x + 7}[/tex]
Alexandra wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. How much will Option 2 be worth after 20 years?
A.
$6727.50
B.
$3000.00
C.
$7400.25
D.
$5604.41
d
$5604.41 will be worth after 20 years I think
Compound interest is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
Option 2 will be worth $7400.25 after 20 years.
Option C is the correct answer.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
Option 2.
1st year.
Principal = 1100
2nd year.
Principal = 1210
3rd year.
Principal = 1331
(1210 - 1100) / 1100 x 100
= 110/1100 x 100
= 10%
This means,
It is increasing at a rate of 10% annually.
Now,
P = $1100
r = 10%
n = 1
t = 20
A = P [tex](1 + r/n)^{nt}[/tex]
A = 1,100 [tex](1 + 0.1)^{20}[/tex]
A = $7400.25
Thus,
Option 2 will be worth $7400.25 after 20 years.
Option C is the correct answer.
Learn more about compound interest here:
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Write as a single fraction in its simplest form.
[tex]\dfrac{4}{3x-5} + \dfrac{x+2}{x-1}\\\\\\=\dfrac{4(x-1) + (x+2)(3x-5)}{(3x-5)(x-1)}\\\\\\=\dfrac{4x-4 + 3x^2 -5x +6x -10}{(3x-5)(x-1)}\\\\\\=\dfrac{3x^2 +5x-14}{(3x-5)(x-1)}[/tex]
reciprocal of 2 3/11
Answer:
11/25
Step-by-step explanation:
Reciprocal is the fraction flipped
write the equation of a line that passes through the points (-7,-4) and (-5,-6)
Answer:
y=-x-11
Step-by-step explanation:
I need help please :(
Answer:
x = 7
Step-by-step explanation:
Given:
∠DEF = 117°
∠DEG = (12x + 1)°
∠GEF = (5x - 3)°
Find:
value of x
Computation:
∠DEF = ∠DEG + ∠GEF
117° = (12x + 1)° + (5x - 3)°
117° = 17 x - 2
x = 7
Answer:
7
Step-by-step explanation:
(12x + 1) + (5x - 3) = 117
17x - 2 = 117 Combine like terms
17x = 119 Add 2 to both sides
x = 7 Divide both sides by 17
A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the flaps are folded upward
to form an open box. If the volume of the box is 2730 in3, what were the original dimensions of the piece of metal?
What is the original width? in
Answer:
Here you go
Step-by-step explanation:
24 original width
49 original length
please answer , thank you in advance to whoever does !!!!
Fred is 5 inches shorter than the quotient of Rick’s height and 4. let r represent Rick’s height. Write an expression that represents Fred’s height
Answer:
[tex] \frac{r}{4} - 5[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
The expression till now
[tex]\\ \sf{:}\Rrightarrow \dfrac{r}{4}[/tex]
But we need the expression for five less than the quotient
[tex]\\ \sf{:}\Rrightarrow \dfrac{r}{4}-5[/tex]
Pls help I’m trying to solve for x
Answer: x = 28
Please give Brainliest if this helped you
Step-by-step explanation:
A milkman bought 40 litres of milk at rs. 26.50 per litre and added 6 litres of water to it. He sold the mixture at rs. 17 per litre. How much did he gain?
cp of 40 l of milk=6.50*40=260
sp of 56 l of mixture=56*7=392
392-260=132
gain%=132/260*100=50.76%