Answer:
11 or I'm just bad at math
find the missing lengths and leave answers as radicals in simplest form
Answer:
Step-by-step explanation:
u = 2v
(2v)² = v² + 3
4v² - v² = 3
3v² = 3 ⇒ v = 1 and u = 2
A child fills a bucket with sand so that the bucket and sand together weigh 10 lbs, lifts it 2 feet up and then walks along the beach, holding the bucket at a constant height of 2 ft above the ground. How much work is done on the bucket after the child has walked 100 ft?
Total weight, w = 10 lbs.
Height of the bucket, h = 2 feet.
Distance walked, d = 100 ft.
Now, work done in moving the bucket at a height of 2 feet.
W = mgh
W = 2× 32.17×100
W = 6434 lbs ft²/s²
Work done in moving bucket in horizontal direction is zero because it is perpendicular to the force.
Therefore, work done is 6434 lbs ft²/s² .
Hence, this is the required solution.
y= -5x + 12
y = -5x – 7
Answer:
19
Step-by-step explanation:
1. y= -5x + 12
y= -5x – 7
2. -5x + 12
-(-5x – 7)
3. -5x + 12
5x + 7
0 +19
4. 19
I WILL MARK BRAINIEST
please answer the one I got wrong
The base of the model merry-go-round is 450in², and the actual merry-go-round's base is 400 times larger.
Therefore the base of the actual merry-go-round is 180,000in². However, the question asks for the answer in square feet.
180,000in² in squared feet is:
1,250ft² (your final answer)
Which number is between -1 and 1?
Answer:
0
Step-by-step explanation:
Which expression does not have a solution of 12, if w = 4?
3 w
w + 8
4 w
16 - w
Answer:
8 w
Step-by-step explanation:
yes
Answer:
4 w
Step-by-step explanation:
So first, let's check,
Substitute 4(w=4) for each expression and then evaluate
3(4)=12
4+8=12
4(4)=16
16-4=12
16 is not equal to 12, so the answer is 4 w
What is an equation of the line that passes through the point (2,3) and is parallel to
the line x + y = 4?
Step-by-step explanation:
if the line equation is in the form
y = ...
the slope is always the factor of x.
x + y = 4
y = -x + 4
so, the slope is -1.
a parallel line has the same slope.
when having a surviving point we can use the point-slope form as equation :
y - y1 = m(x - x1)
with m being the slope, and (x1, y1) being a point on the line.
so,
y - 3 = -1(x - 2)
simplified we get
y - 3 = -x + 2
y = -x + 5
that would be the slope-intercept form (+5 being the interception point on the y-axis).
Whoever answers correctly gets brainlist
Answer:
So now D would be at (-4 , 2)
Step-by-step explanation:
From D, you can calculate every other letter’s location. Yeah.
Answer:
Please mark me as brainliest!
Step-by-step explanation:
The coordinates:
D: ( 2,6 )
A: ( 2, 1 )
B: ( 5, 1 )
C: ( 5, 6 )
You want to translate this down 4 units and left 6 units.
So what you would do is this:
Formula = ( x - 6 , y - 4 )
D: ( -4, 2 )
A: ( -4, -3 )
B: ( -1, -3 )
C: ( -1, 2 )
What is the slope of y= -3x + 17
Answer:
The slope is -3
Step-by-step explanation:
sarah is looking at her online banking account summary and sees a money transfer for -$80.
which of the following best describes -$80
A. $40 spent
B. $40 received
C. $80 spent
D. $80 received
Answer:
C
Step-by-step explanation:
She spent $80
Consider the oriented path which is a straight line segment L running from (0,0) to (16, 16 (a) Calculate the line integral of the vector field F = (3x-y) i +j along L using the parameterization B (t) = (2,20, 0 Enter an exact answer. t 8. 256 48 , 48 256). (b) Consider the line integral of the vector field F = (3r-y) i +j along L using the parameterization C(1)-( ,16 3t 32 16$1532 . The line integral calculated in (a) is the line integral of the parameterization given in (b).
This question is missing some parts. Here is the complete question.
Consider the oriented path which is a straight line segment L running from (0,0) to (16,16).
(a) Calculate the line inetrgal of the vector field F = (3x-y)i + xj along line L using the parameterization B(t) = (2t,2t), 0 ≤ t ≤ 8.
Enter an exact answer.
[tex]\int\limits_L {F} .\, dr =[/tex]
(b) Consider the line integral of the vector field F = (3x-y)i + xj along L using the parameterization C(t) = [tex](\frac{t^{2}-256}{48} ,\frac{t^{2}-256}{48} )[/tex], 16 ≤ t ≤ 32.
The line integral calculated in (a) is ____________ the line integral of the parameterization given in (b).
Answer: (a) [tex]\int\limits_L {F} .\, dr =[/tex] 384
(b) the same as
Step-by-step explanation: Line Integral is the integral of a function along a curve. It has many applications in Engineering and Physics.
It is calculated as the following:
[tex]\int\limits_C {F}. \, dr = \int\limits^a_b {F(r(t)) . r'(t)} \, dt[/tex]
in which (.) is the dot product and r(t) is the given line.
In this question:
(a) F = (3x-y)i + xj
r(t) = B(t) = (2t,2t)
interval [0,8] are the limits of the integral
To calculate the line integral, first substitute the values of x and y for 2t and 2t, respectively or
F(B(t)) = 3(2t)-2ti + 2tj
F(B(t)) = 4ti + 2tj
Second, first derivative of B(t):
B'(t) = (2,2)
Then, dot product between F(B(t)) and B'(t):
F(B(t))·B'(t) = 4t(2) + 8t(2)
F(B(t))·B'(t) = 12t
Now, line integral will be:
[tex]\int\limits_C {F}. \, dr = \int\limits^8_0 {12t} \, dt[/tex]
[tex]\int\limits_L {F}. \, dr = 6t^{2}[/tex]
[tex]\int\limits_L {F.} \, dr = 6(8)^{2} - 0[/tex]
[tex]\int\limits_L {F}. \, dr = 384[/tex]
Line integral for the conditions in (a) is 384
(b) same function but parameterization is C(t) = [tex](\frac{t^{2}-256}{48}, \frac{t^{2}-256}{48} )[/tex]:
F(C(t)) = [tex]\frac{t^{2}-256}{16}-\frac{t^{2}-256}{48}i+ \frac{t^{2}-256}{48}j[/tex]
F(C(t)) = [tex]\frac{2t^{2}-512}{48}i+ \frac{t^{2}-256}{48} j[/tex]
C'(t) = [tex](\frac{t}{24}, \frac{t}{24} )[/tex]
[tex]\int\limits_L {F}. \, dr = \int\limits {(\frac{t}{24})(\frac{2t^{2}-512}{48})+ (\frac{t}{24} )(\frac{t^{2}-256}{48}) } \, dt[/tex]
[tex]\int\limits_L {F} .\, dr = \int\limits^a_b {\frac{t^{3}}{384}- \frac{768t}{1152} } \, dt[/tex]
[tex]\int\limits_L {F}. \, dr = \frac{t^{4}}{1536} - \frac{768t^{2}}{2304}[/tex]
Limits are 16 and 32, so line integral will be:
[tex]\int\limits_L {F} \, dr = 384[/tex]
With the same function but different parameterization, line integral is the same.
Please help, I have no idea what it's asking :')
the answer is step by step CFE
Find an equation of the plane that passes through the point (1, 3, 4) and cuts off the smallest volume in the first octant.
Answer:
12x +4y + 3z=36
Step-by-step explanation:
The equation of plane is given by
z-zo = a(x-xo) + b(y-yo)
pass through (1,3,4)
Z -4 = a(x -1) +b(y-3)
The question is asking us to optimize a and b. To minimize the volume V both a and b should be negative as the normal vector should be towards the negative x and y direction so that a finite tetrahedron can be formed in the first octant.
we need x , y and z intercepts o define volume
x intercept( y, z =0) = [tex]\frac{a+3b-4}{a}[/tex]
y intercept (x, z =0) = [tex]\frac{a+3b-4}{b}[/tex]
z intercept ( x, y =0) = -(a+3b-4)
Base = [tex]\frac{(a+3b-4)^2}{2ab}[/tex]
Volume = [tex]\frac{1}{3}*base*height[/tex]
Volume(a, b) = [tex]\frac{-(a+3b-4)^3}{6ab}[/tex]
now we differentiate partially in terms to a and b the volume to minimize and get a and b.
ΔV(a, b) = [tex]\frac{-1}{6}(\frac{3(a+3b-4)^2ab-b(a+3b-4)^3}{a^2b^2}[/tex] ,[tex]\frac{-1}{6}(\frac{9(a+3b-4)^2ab-a(a+3b-4)^3}{a^2b^2}[/tex] = 0
Taking the first part of differential it will give
b(a+3b-4) [3a -(a+3b -4)] =0
(a+3b-4) [tex]\neq 0[/tex] because the volume will become zero if this becomes true
2a -3b = -4 ..................(1)
similarly the second part of the differential will give
a-6b=4 ................(2)
on solving 1 and 2 we get
a = -4 and b = -4/3
so the equation will be
Z -4 = -4(x -1) - 4/3*(y-3)
final equation
12x +4y + 3z=36
how do you solve this?
Answer:
Horizontal component = 9.6
Step-by-step explanation:
Recall that the horizontal component is given by the cosine projection;
[tex]v_x=|v_0| * cos(\theta)[/tex]
which in our case (using the fact that in each degree of angle one has 60 minutes of angle, and therefore 30 minutes of angles is the same as 0.5 degrees) becomes:
[tex]v_x=12.6 * cos(40.5^o)=9.5811[/tex]
And rounding to the nearest tenth as requested, we have:
[tex]v_x=9.6[/tex]
additon and subtraction and the whole no
Answer:
dont get it
Step-by-step explanation:
The question is specific enough for an answer.
Charlie buys 150 small packets of mints so that
Number of small packets: number of medium packets = 3:4
So how do you find like how much each one is for like 3:4
NEED HELP FAST
Answer:
3x=60
4x=80
Step-by-step explanation:
I think you've typed it wrong it must be 140 packets. All you need to do is assume 3:4 as 3x and 4x and add it
so 7x=140
x=20
3x=60
4x=80
Which equation could be represented by this model?
Answer:is there a picture I can refer to?
Step-by-step explanation:
Mrs. Lemon’s class is planting seeds for their science projects. Each student receives a packet of flower seeds and is told to plant 1/4 of the seeds in the packet. Each student plants 6 seeds. How many seeds were in each packet?
A.
36
B.
24
C.
2
D.
10
Answer:
The answer is B
Step-by-step explanation:
If the students are asked to plant 1/4 of the packet, and they planted six seeds, you would have to multiply 4 x 6 to get a product of 24.
Please answer hhshshshnsnshhshshsh
Answer:
a) linear pair angles: 1&2, 2&3, 3&4, 1&4... etc (any angles that are adjacent, or right next, to each other that add up to be 180 degrees)
b) All linear pair angles are adjacent angles but not all adjacent angles are linear pairs. So pick any linear pair angle you got because they will always be adjacent. (1&2, 2&3, 3&4, 1&4... etc)
c) vertically opposite angles: 1&3, 2&4, 5&7, 6&8, 9&11, 10&12
Step-by-step explanation:
here is a list of number 51 38 48 36 39 40 39 47
Work out the range of the numbers in the list
Answer:
15
Step-by-step explanation:
The range of a group of numbers is the highest number in the sequence minus the lowest number.
Which in this case was 51 - 36 = 15.
Hope this Helps!
:D
Fabiola is reviewing for the Algebra 1 End-of-Course exam. She made this graph
representing a system of inequalities.
Circle the ordered pairs below that represent solutions to the system of
inequalities.
(−6, 3) (−3, 3) (0, 3) (0, 0) (6, 0)
(−6, −6) (−3, −6) (−6, 6) (−4, 2) (3, −3)
Answer
(-6. 3) (-6, 6) (-4, 2)
Step-by-step explanation:
the solution is the dark area between the two lines.
the only trick would be if one of the points fell on the dotted line.
all points on the dotted line are not included but all points on the solid line are included.
A certain shade of paint is made by mixing 3/4 quarts red with quarts yellow. How much red and yellow paint would you need if you need a total of 12 quarts of paint your house?
Solve for the value of W:)
Answer:
90
Step-by-step explanation:
Select equivalent or not equivalent for each pair of expressions
Answer:
Equivalent, equivalent, not equivalent.
Step-by-step explanation:
The answers for the first two are equal, but the last one doesn't have equal answers.
Help me out please i have an E im scared to fail
Answer:
The answer is x= 3
Step-by-step explanation:
hope this helps
Answer:
i think 48
Step-by-step explanation:
Find a center of mass of a thin plate of density delta equals 5δ=5 bounded by the lines y equals xy=x and x equals 0x=0 and the parabola y equals 20 minus x squaredy=20−x2 in the first quadran
Answer:
center of mass
X = [tex]\frac{my}{m} = \frac{28}{19}[/tex]
Y = [tex]\frac{mx}{m} = \frac{872}{95}[/tex]
Step-by-step explanation:
y = x and x = 0
parabola ; y = 20 - x^2
attached below is the detailed solution
M = [tex]\frac{152}{3}[/tex]б
Mx = [tex]\frac{6976}{15}[/tex]б
My = [tex]\frac{224}{3}[/tex]б
X = [tex]\frac{my}{m} = \frac{28}{19}[/tex]
Y = [tex]\frac{mx}{m} = \frac{872}{95}[/tex]
(2x3 - x-7) = (x+3)
Help me
Answer:
5x
Step-by-step explanation:
mutuply and remeber a letter by it self has a one infront
A number line going from 0 to 3 in increments of 3.
Divide: 2 ÷ 1
2
2
16
8
4
Answer:
2 divided by 1/2 is 4.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
did it on edge
What is 3/8+11/16
In metric tape
Answer:
Step-by-step explanation:
3/8=0.375
11/16=0.6875
0.375+0.6875=1.0625
In 1995, the price of a laser printer was 1,299. In 2002, the price of the same type of printer had dropped to 499. Find the percent of decrease
Answer:
b
Step-by-step explanation:
