Answer:
Some vocabulary we should know:
mx = slope while b is the y-intercept.
-3x = x
6y = y
BRAINLIEST is APPRECIATED. This is based on speculation! Good luck in your future studies.
- daintysword
Compute the flux of the vector field F = xy, 5yz, 6zx through the portion of the plane 3x + 2y + z = 6 in the first octant with the downward orientation.
The plane has intercepts
y = z = 0 ⇒ 3x = 6 ⇒ x = 2
x = z = 0 ⇒ 2y = 6 ⇒ y = 3
x = y = 0 ⇒ z = 6
and thus passes through the points (2, 0, 0), (0, 3, 0), and (0, 0, 6).
Parameterize the portion of the plane (call it P) by the vector function,
[tex]\vec r(s,t) = \left\langle 2(1-s)(1-t), 3s(1-t), 6t \right\rangle[/tex]
where 0 ≤ s ≤ 1 and 0 ≤ t ≤ 1.
Compute the normal vector to P :
[tex]\vec n = \dfrac{\partial \vec r}{\partial t} \times \dfrac{\partial \vec r}{\partial s} = -\left\langle 18-18t, 12-12t, 6-6t \right\rangle[/tex]
Then the flux of F through P is given by the surface integral,
[tex]\displaystyle \iint_P \vec F \cdot d\vec S = \int_0^1 \int_0^1 \left\langle 6s(1-s)(1-t)^2, 90st(1-t), 72t(1-s)(1-t) \right\rangle \cdot \vec n \, ds \, dt \\\\ = - \int_0^1 \int_0^1 \left(108(t-1)^3 s^2 + 108(t-1)^2(5t+1) s + 432t(t-1)^2\right) \, ds \, dt \\\\ = - \int_0^1 18(t-1)^2(41t+1) \, dt \\\\ = \boxed{-\frac{135}2}[/tex]
Use the quadratic formula to solve the equation 9 x 2 + 30 x + 50 = 0 .
Answer:
I did how you told us to do it and I came up with 98 im not sure if that the right answer but I try to help
Hello can someone help me out please
Answer:
The answers are: 35 hot dogs & 52 sodas.
Whoever gets the Question right and first gets 15 points
(275x523)+19x34/3=?
Answer:
144040.3333
Step-by-step explanation:
275*523 = 143825
19x34/3 = 215.3333333
so add them up to get 144040.3333
Answer:
144040.333333
Step-by-step explanation:
start with parenthesis (275x523)
This would get you, 143825.
Next, you would do, (19x34/3)
That would get you, 215.333333333.
Finally, you would add the two numbers together and get a product of 144040.333333.
The speed of the jet Alyssa flew on from Boston to London was 480
mph. On her return flight, the speed of the jet was 600 mph with a tail
wind. What was Alyssa's average speed on the round trip? Round your
answer to one decimal place.
Answer:
540 Mies per hour
Step-by-step explanation:
add 600 and 480 then divide by 2
Alyssa's average speed on the round trip is 540 Mies per hour.
We have given,
The speed of the jet Alyssa flew on from Boston to London was 480
mph.
On her return flight, the speed of the jet was 600 mph with a tail
wind.
What is the average speed?[tex]average speed=\frac{a+b}{2}[/tex]
a=inital speed
b=final speed
add 600 and 480 then divide by 2
That can be given by
[tex]=\frac{600+480}{2}\\\\=\frac{1080}{2}\\\\=540[/tex]
Alyssa's average speed on the round trip is 540mph.
To learn more about the average speed visit:
https://brainly.com/question/4931057
Find an equation for the line that passes through the points (-1,-4) and (5,-2)
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = the slope of the lineb = the y-intercept (the value of y when the line crosses the y-axis)To determine a linear equation in slope-intercept form:
Find the slopePlug the slope into y=mx+bFind the y-interceptPlug the y-intercept into y=mx+bSolving the QuestionWe're given:
The line passes through the points (-1,-4) and (5,-2)First, find the slope of the line (m):
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
⇒ Plug in the given points (-1,-4) and (5,-2):
[tex]m=\dfrac{-2-(-4)}{5-(-1)}\\\\m=\dfrac{-2+4}{5+1}\\\\m=\dfrac{2}{6}\\\\m=\dfrac{1}{3}[/tex]
⇒ Therefore, the slope of the line is [tex]\dfrac{1}{3}[/tex]. Plug this into y=mx+b:
[tex]y=\dfrac{1}{3}x+b[/tex]
Now, determine the y-intercept (b):
[tex]y=\dfrac{1}{3}x+b[/tex]
⇒ Plug in one of the points and solve for b:
[tex]-4=\dfrac{1}{3}(-1)+b\\\\-4=-\dfrac{1}{3}+b\\\\-4+\dfrac{1}{3}=b\\\\b=-\dfrac{11}{3}[/tex]
⇒ Therefore, the y-intercept is [tex]-\dfrac{11}{3}[/tex]. Plug this back into our original equation:
[tex]y=\dfrac{1}{3}x-\dfrac{11}{3}[/tex]
Answer[tex]y=\dfrac{1}{3}x-\dfrac{11}{3}[/tex]
aitlyn has $2500 in a saving account.
She collects 3% annual simple interest.
How many years will it take to collect
$150 in interest?
Answer:
2 yearsStep-by-step explanation:
The interest amount per year is
3% of $2500 = 3*2500/100 = 75Number of years is
150/75 = 2Answer:
2 years
Step-by-step explanation:
Simple Interest Formula
I = Prt
where:
I = total interest earnedP = principalr = interest rate (in decimal form)t = time (in years)Given:
P = $2500r = 3% = 0.03I = $150Substitute the given values into the formula and solve for t:
⇒ 150 = 2500(0.03)t
⇒ 150 = 75t
⇒ t = 150 ÷ 75
⇒ t = 2
Therefore, it will take 2 years to collect $150 in interest.
Find the area of the figure.
Answer:
Explanation:
So you want to start by finding the area of the big square.
We know the width to the big square is 60cm. The length to the big square is
19
+
24
+
13
=
56
Big square
A
r
e
a
=
L
⋅
W
=
56
⋅
60
=
3360
Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.
Little square
A
r
e
a
=
L
⋅
W
=
24
⋅
34
=
816
The area enclosed is the area of the big square minus the area of the little square.
3360
−
816
=
2544
So the area enclosed is
2544
c
m
2
Step-by-step explanation:
can someone help me out with khan?
Write the pair of fractions as a pair of fractions with a common denominator.
1/3 and 3/8
Find the slope of the line shown in the graph below.
Answer: The slope is 1
Step-by-step explanation:
We can see that between the two points it goes up 2 units (rise) and right 2 units (run).
Since slope is [tex]\frac{rise}{run}[/tex] we can sub in the values to find the answer
[tex]\frac{rise}{run}=\frac{2}{2} =1[/tex]
ANSWERS FOR THESE!!!
Answer:
Question 23) 12 x 6√3 = 72√3
Question 24) 672 cm³
helps pls with this math problems . I’ll give Brainly
The entrance fee is d dollars, and the meal ticket is $4 less than the entrance fee -> Each meal ticket is d - 4
So, the total amount that the friends pay is 5(d-4)
URGENT! In ABC. what is the value of r?
Answer:
16.2
Step-by-step explanation:
By geometric mean theorem:
[tex] {9}^{2} = 5(x) \\ \\ \implies \: 81 = 5x \\ \\ \implies \: x= \frac{81}{5} \\ \\ \implies \: x=16.2[/tex]
given f (x)=x-4/x^2+13x+36 which of the following is true
The function [tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex] is a rational function
The simplified expression of the function [tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex] is [tex]f(x) =\frac{x - 4}{(x + 9)(x + 4)}[/tex]
How to simplify the function?The function expression is given as:
f(x) =x - 4/x^2 + 13x + 36
Rewrite properly as:
[tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex]
Expand the denominator
[tex]f(x) =\frac{x - 4}{x^2 + 4x + 9x + 36}[/tex]
Factorize the denominator
[tex]f(x) =\frac{x - 4}{x(x + 4) + 9(x + 4)}[/tex]
Factor out x + 9
[tex]f(x) =\frac{x - 4}{(x + 9)(x + 4)}[/tex]
Hence, the simplified expression of the function [tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex] is
[tex]f(x) =\frac{x - 4}{(x + 9)(x + 4)}[/tex]
Read more about rational functions at:
https://brainly.com/question/1851758
Answer: f(x) is increasing for all x > -4
Proof of validity is shown below.
what is the answer to this?
Answer:
the answer is c
Step-by-step explanation:
its c i dont know what the words say tho i need to read what it say first.
Image is attached. Will give brainliest.
Answer:
outside the circle
sorry if I'm wrong
What’s 9+10 equal to???
Answer:
19
Step-by-step explanation:
9+10=19
11+8=19
Hope it Helps
∠A and \angle B∠B are complementary angles. If m\angle A=(x+10)^{\circ}∠A=(x+10)
∘
and m\angle B=(3x+28)^{\circ}∠B=(3x+28)
∘
, then find the measure of \angle B∠B.
Answer:
67
Step-by-step explanation:
Complementary angles add to 90 degrees
<A + <B = 90
x+10 + 3x+28 = 90
Combine like terms
4x+38 =90
Subtract 38 from each side
4x+38-38 = 90-38
4x = 52
Divide by 4
4x/4 = 52/4
x = 13
We want to find <B
<B = 3x+28
= 3(13) +28
= 39+28
=67
Which proportion could you use to convert 5 gallons to quarts?
Convert.
5gallons=
quarts
Solve the equation for x.
-2x = 14
-
Enter the number that belongs in the green box.
x = [?]
Enter
I
Answer:
[tex]\displaystyle -7[/tex]
Explanation:
[tex]\displaystyle \boxed{-7} = \frac{14}{-2}[/tex]
I am joyous to assist you at any time.
Answer:
[tex]\boxed{\sf{x=-7}}[/tex]Step-by-step explanation:
To solve this problem, you have to find the value of x to isolate it on one side of the equation.
-2x=14First, you divide by -2 from both sides.
-2x/-2=14/-2
Solve.
Divide these numbers from left to right.
14/-2=-7
x=-7
Therefore, the final answer is x=-7.Find the mean absolute deviation for each data set.
1. The number of kittens in 10 litters: 4, 5, 5, 6, 6, 7, 8, 8, 8, and 9
Med
Answer:
The mean is 6. When you add all the numbers you get 66 and then youre suppose to divide 66 by 10 in order to get the mean which is 6.
Step-by-step explanation:
4 + 5 + 5 + 6 + 6 + 7 + 8 + 8 + 8 + 9 = 66
66 ÷ 10 = 6
Find the perimeter of the figure below. Notice that one side length is not given.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
Answer:
52 cm
Step-by-step explanation:
The only tricky part is getting the not measured side. However, you have a portion of it. 16-11=5, and that is the missing side. Then just add everything together.
please help me with this one
Answer:
36 km^2
Step-by-step explanation:
We will use the way to find the area of trapezoids which is b+b/2 *h and that is 3+5/2 * 9 so 8/2 is 4 and 4*9=36
The original blueprint of a concrete patio has a scale of 2 inches =3 feet
Victoria want to make a new blueprint of the patio with a length of 16.8 inches
Scale of the new blueprint: 2 inches = 2.5 feet (or 4 inches = 5 feet)
Width of the new blueprint: 14.4 inches
find the mean of the following data set 5,17,19,24,10,17,21,6,22,5,9
Answer:
the answer to that question is 14.09
A right triangle has side lengths 3, 4, and 5 as shown below.
Use these lengths to flnd sinX, tanX, and cosX.
Answer:
See below
Step-by-step explanation:
Remember S-O-H-C-A-H-T-O-A
Sin = Opp / Hyp
Cos = Adjacent / Hyp
Tan =Opp / Adj
You didn't say WHICH angle is X , so you will have to finish this !
Help help help math math math
Answer:
Equation of straight line is y=Mx+X
or, y-7=-1/5x(x-(-1)
Hence y-7=-1/5x(x-(-1) is the required equation.
Answer:
ok i heres the answer
Step-by-step explanation:
there you go have a nice day
3.5 is the number in parentheses!
Show all work
Explain♥️
[tex]\begin{cases} f(x)=x^2\\ g(x)=x-3 \end{cases}\qquad \qquad (g\circ f)(x)\implies g(~~ f(x)~~) \\\\[-0.35em] ~\dotfill\\\\ f(3.5)=(3.5)^2\implies f(3.5)=12.25 \\\\\\ g(~~ f(3.5)~~)\implies g(~~ 12.25~~)=(12.25)-3\implies \stackrel{(g\circ f)(3.5)}{g(~~ 12.25~~)}=9.25[/tex]
The polynomial of degree 3 , P ( x ) , has a root of multiplicity 2 at x = 1 and a root of multiplicity 1 at x = − 2 . The y -intercept is y = − 0.2 .
Answer:
The polynomial of degree 3 ,P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1 at x=−1. The y-intercept is y=−0.2