Answers
Answer:
[tex]4^{-3}[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\4^4*4^{-8}*4\\We\ know\ that,\ for\ any\ real\ number\ n, n^a*n^b=n^{(a+b)}\\Hence,\\First,\ lets\ write\ all\ the\ terms\ in\ an\ exponential\ form.\\4^4*4^{-8}*4^1\\=4^{(4+(-8)+1)}\\=4^{(5-8)}\\=4^{-3}[/tex]
Related Questions
Use the Divergence Theorem to calculate the surface integral
S
F · dS;
that is, calculate the flux of F across S.
F(x, y, z) = x2yi + xy2j + 3xyzk,
S is the surface of the tetrahedron bounded by the planes x = 0, y = 0, z = 0, and
x + 4y + z = 4.
Answers
Answer:
[tex]\frac{56}{15}[/tex]
Step-by-step explanation:
Given that [tex]\vec F(x, y, z) = x^2y \hat i + xy^2 \hat j + 3xyz \hat k[/tex]
F(x, y, z) = x^2y \hat i + xy^2 \hat j + 3xyz \hat k
The flux of \vec F across the surface S is given by
[tex]\int \int _s \vec F \cdot dS[/tex]
Where the survare S is the surface of the tetrahedron bounded by the planes x = 0, y = 0, z = 0, and x + 4y + z = 4.
Now, by using the Gauss Divergence theorem:
[tex]\int \int _s \vec{F} \cdot dS=\int \int \int _v \bigtriangledown \cdot \vec F dV[/tex]...(i)
where V is the volume enclosed by the surface S and [tex]dV=dxdydz[/tex]
\bigtriangledown \cdot \vec F = \hat i \frac {\partial \vec F}{\partial x}+\hat j \frac {\partial \vec F}{\partial y}+\hat k \frac {\partial \vec F}{\partial z}
=2xy+2xy+3xy=7xy
Putting this value in equation (i), we have
\int \int \int _v \bigtriangledown \cdot \vec F dV = \int \int \int _v (7xy)dxdydz
= [tex]7\int_{y=0}^{y=1} \int_{x=0}^{x=4-4y} \left( \int_{z=0}^{z=4-x-4y}xy\;dz\right)dxdy[/tex]
[tex]=7\int_{y=0}^{y=1} \int_{x=0}^{x=4-4y} xy(4-x-4y-0)dxdy \\\\=7\int_{y=0}^{y=1} \int_{x=0}^{x=4-4y}(4xy-x^2y-4xy^2)dxdy \\\\=7\int_{y=0}^{y=1} (2x^2y-\frac 1 3 x^3y-2 x^2y^2)|_{x=0}^{x=4-4y}dy \\\\[/tex]
[tex]=7\int_{y=0}^{y=1} (2(4-4y)^2y-\frac 1 3 (4-4y)^3y-2 (4-4y)^2y^2)dy[/tex]
[tex]=7\int_{y=0}^{y=1} (32(1-y)^2y-\frac {64}{3} (1-y)^3y-32(1-y)^2y^2)dy[/tex]
[tex]=7\int_{y=0}^{y=1} (32(1-2y+y^2)y-\frac {64}{3} (1-y^3-3y+3y^2)y-32(1-2y+y^2)y^2)dy[/tex]
[tex]=7\int_{y=0}^{y=1} \{32(y-2y^2+y^3)-\frac {64}{3} (y-y^4-3y^2+3y^3)-32(y^2-2y^3+y^4)\}dy[/tex]
[tex]=7 \{32(\frac 1 2 y^2- \frac 2 3 y^3+\frac 1 4 y^3)-\frac {64}{3} (\frac 1 2 y^2-\frac 1 5 y^5-y^3+\frac 3 4 y^4)-32(\frac 1 3 y^3-\frac 1 2 y^4+\frac 1 5 y^5)\} |_{y=0}^{y=1}[/tex]
[tex]=7 \{32(\frac 1 2 - \frac 2 3 +\frac 1 4 )-\frac {64}{3} (\frac 1 2 -\frac 1 5 -1+\frac 3 4 )-32(\frac 1 3 -\frac 1 2 +\frac 1 5 )\}[/tex]
[tex]=7\times \frac {8}{15} \\\\=\frac{56}{15}[/tex]
Hence, the flux of F across S is [tex]\frac{56}{15}[/tex].
Some one help me please
Answers
Answer:
I think it would be a
Step-by-step explanation:
I think it would be a because when you divide by a negative number the sign flips
A rectangular plot of land has an area of 3/2 square kilometers and a length of 3/4 kilometer. What is the width of the plot of land?
(please answer fast i gtg soon :P)
Answers
Length x width= area
3/4 x blank= 3/2
So then you can divide area by the given length
3/2 divided by 3/4= 2
And to check your answer you would put 2 in as your width
3/4 x 2= 6/4. And 6/4 reduces to 3/2
I will give brainliest!!!!!! Please help
Answers
Answer:
F
Step-by-step explanation:
4 tons of cement cost $480.00. What is the price per pound?
Answers
Answer:
$120 per pound
Step-by-step explanation:
What is 1/3 divide by 1/4?
Answers
Answer:
1 1/3
Step-by-step explanation:
1/3 divided by 1/4 =
1/3 x 4/1 = 4/3
1 1/3
In 2016, the mean score on the AP Biology exam was 3.10, with a standard deviation of 1.05. The mean score on the AP US History exam was a 2.74, with a standard deviation of 1.42. What is the combined mean and standard deviation for these exams
Answers
Answer:
the combined mean and standard deviation for these exams are
mean = 5.84
standard deviation = 1.766
Step-by-step explanation:
Given that;
mean score and standard deviation of AP biology was;
x'1 = 3.10, S1 = 1.05
mean score and standard deviation of AP US History was;
x'2 = 2.74, S1 = 1.42
Now combined mean = x'1 + x'2 = 3.10 + 2.74 = 5.84
standard deviation combined = √( S1² + S2²)
= √( (1.05²) + (1.42)²)
= √( 1.1025 + 2.0164)
= √3.1189
= 1.766
Therefore
the combined mean and standard deviation for these exams are
mean = 5.84
standard deviation = 1.766
The value of n is a distance of 3 units from 1 1/2 on a number line.
Click on the number line to show the possible values of n.
Answers
Answer:
1 1/2
Step-by-step explanation:
Since n is 3 units from 1 1/2 you would subtract 3 - 1 1/2 to find how much more n is from 1 1/2 to get to 3. Hope this helps! :)
Answer:
1 and 3 would be correct
Step-by-step explanation:
What is the value of b in the triangle shown below?
a.-4in
b.4in
c.+4in
d.no solution
Answers
Ronald repairs computers. He charges $25 for a house call and $24 per hour. If Ronald charges $145 for one of his jobs, including the house call, which equation can be used to find h, the number of hours he worked?
Answers
Answer:
25+24h=145
Step-by-step explanation:
What are the coordinates of point A′ if triangle ABC is rotated 90° to produce the image triangle A′B′C′?
A.(-9,-4)
B. (4,-9)
C. (9,-4)
D. (9,4)
Answers
Answer:
(9,-4)
Step-by-step explanation:
its right hope it's helpful
Find the mean, median, mode, and range of the following data.
10, 20, 30, 15, 90, 80, 35, 30, 25, 15, 60, 75, 80, 30, 45, 35, 95, 80, 80, 25, 15
Answers
Mean (average) - add all numbers up and divided by the number of addends
Mean = 46.19047619 (50)
Median - arrange numbers in numerical order, and find the one in the middle
Median = 35
Mode - number that appears the mode
Mode = 80
Range - difference between biggest and smallest number
Range = 80
~theLocoCoco
An airplane flies due west at 100mph through a 20 mph cross wind blowing from S780E
S780E . Determine the resultant velocity and direction of the airplane . (using vector) (please show work)
Answers
Answer:
An airplane which has airspeed of 575 hm/hr head directly east the win is blowing with a velocity of 8.20 km/hr
Step-by-step explanation:
Faith's grandma is making a blanket for her bed. The blanket needs to be 4 feet wide and 6 feet long. How many square feet of blanket does Faith's grandma need to make?
A.10
B.16
C.20
D.24
Answers
Answer:
D. 24
Step-by-step explanation:
multiply length times width to get area
2. A parking lot has 68 rows with 24 parking spaces in each row. What is the total number of parking spaces?
1,632
1,502
408
272
Answers
Answer: 1,632
Step-by-step explanation:
you have to multiply 68 and 24 and when you do so, you'll get 1,632 as your answer.
plz help some one plz
Answers
Answer:
d.-79/200
Step-by-step explanation:
Answer:(A)
Source:trust me bro
Chandre's mom has a budget of at most $250 for Chandre's birthday
party. She wants to rent the skating rink and invite as many friends as
possible. The skating rink charges $100 for a 3-hour party plus $12 for
each guest to rent skates and get a pizza combo from the concession
stand. How many guests can Chandre invite and stay within her mom's
budget?
Answers
Answer:
1
Step-by-step explanation:
1 person cost $112. 2 people cost $224. Chandre is one person already making room only for 1 other friend.
1. John looked on a map to find the distance he would be driving from Austin to New York.
The distance on the map was 580 cm. If the scale for the map was lcm = 3.1 miles, what is
the actual distance between these two places in miles?
A 17,980 miles
B. 179.8 miles
C. 1,1798 miles
D. Not Here
Answers
Answer:
580×3.1 =17980 miles is answer
Sal set a timer for eight minutes when he put the frozen pizza in the oven. when the timer went off the pizza was not done yet so he left it in the oven to continue cooking which number line shows the amount of time in minutes the pizza they have been in the oven?
Answers
Answer:
the zero to eight as I think
bölenin 8,bölümün 68 olduğu bir bölme işleminde bölünen sayı en fazla kaç olur
Answers
Cevap:
68 bölü 8, bundan çıkardığım şey, yanılıyorsam cevabımı sil. Ancak 68 bölü 8 = 8,5
Describe some real-world situations that remind you of the coordinate plane.
Answers
Answer:
-The latitude and longitude lines on maps of the Earth
-Planning where to place different pieces of furniture in a room
The real life application of coordinate plane are ; Digital, location in airports, Map projection, GPS, Latitude and Longitude and many more.
What are coordinate plane?A coordinate plane is a tool used for graphing points, lines, and other objects.
Some real life applications are:
Digital World
In this, any PDF file we open are created according to 2-D coordinates (x, y), all the concepts like distances, slopes and trigonometry are applicable in this.
Location of Air Transport
In this, air traffic are mainly managed by coordinates study, to find the location of a particular location for any change in location of a plane it is used.
Map Projections
The points usually provides the frame of references for your data, to locate the position on the surface of earth.
GPS
We use GPS for any specific location identifier on the earth which we get in the form of coordinates, these are points showing the asked location.
Latitude and Longitude
These are the parameter used to locate any specific point on the earth, Latitude and Longitude are always defined by a point, they constitute a coordinates system to identify any geographical location.
For more references on coordinate plane, click;
https://brainly.com/question/13611766
#SPJ2
What happens when a barrel goes over the waterfall?
a. The barrel speed stays the same
b. The barrel slows down.
c. The barrel speeds up.
d. The barrel stops
PLEASE SEND HELP!! I NEED THE ANSWER.......QUICK!!! WILL GIVE THE BRAINLEST!
Answers
2x - y = 8
x + 3y = 4
Answers
Answer:
x = 4, y = 0
Step-by-step explanation:
Two find x and y, we can simply solve one of the two equations for one of the variables, and substitute it into the other. That will provide one of the two values, which can then be plugged into either equation for the other value. Let's do it:
[tex]2x - y = 8\\y = 2x - 8\\\\x + 3y = 4\\x + 3(2x - 8) = 4\\x + 6x - 24 = 4\\7x = 28\\x = 4\\\\y = 2x - 8\\y = 2(4) - 8\\y = 0[/tex]
So x is equal to four, and y is equal to zero.
I NEED HELP STAT
=12×0.75
Answers
Answer:
9
Step-by-step explanation:
use a calculator of just think about it
Answer:
9.00
Step-by-step explanation:
Hii. if Lisa was going 9.2 miles from the store to her friends house then 7.9 to her grandmas house before going 5 miles to her house how far did she travel?
Answers
Answer:
¹9.2
+7.9
¹ 17.1
+5.0
22.1
21.1 miles
which expression represents a negative number
15 - (-26)
(-9)(-9)(-9)
-126/-6
(-12) (-24)
Answers
Answer:
15-(-26)
Step-by-step explanation:
positive is lower than negative so the remaining number will be negative.
At the beginning of the year San weighs 57 pounds during the year he loses 4 pound and then grain 9 pound how much does he weigh now
Answers
Answer:
62??
Step-by-step explanation:
HELP PLS
Determine which is True Select all that apply
Answers
Properties of Exponential Function for Roots.
[tex]a^{\frac{m}{n}}=\sqrt[n]{a^m}[/tex]
The first one is wrong as 4^1/2 would equal √4 = 2
The second choice is correct.
The third choice is correct because ∛8 = 2 and √4 also = 2
The fourth choice is wrong because √8 = 2√2
The fifth choice is also wrong because 2^1/2 would be √2 while √32 is 2^5
The sixth choice is 3^3/2 which would equal √27 = 3√3 which is correct.
A school has 30% of girls and 70% boys. If 10% of the girls wear glasses and 20% of the boys wear glasses, what percent of all students wears glasses?
Answers
Answer:
17%
Step-by-step explanation:
If 30% of the school is girls and 10% wear glasses, that means that at least 3% of the school wears glasses. (10 percent of 30%) If 70% of the school is boys and 20% of boys wear glasses, at least 14% of the school wears glasses. (20% of 70%) If you add both of those numbers together it adds up to 17%.
8-5(3x-7) i need help
Answers
Answer:
43 - 15x
is the answer
Answer:
-15x + 43
Step-by-step explanation:
8-5(3x-7)
8-15x+35
-15x+43