This is equivalent to 2*sqrt(34)
=======================================================
Explanation:
First let's find BD
The three triangles are similar, allowing for the proportion to be set up
AD/BD = BD/DC
9/x = x/8
9*8 = x*x
x^2 = 72
x = sqrt(72)
BD = sqrt(72)
Now we can use the pythagorean theorem. Focus on triangle BDC.
The legs are BD = sqrt(72) and DC = 8. Let's find the hypotenuse
(BD)^2 + (DC)^2 = (BC)^2
(sqrt(72))^2 + (8)^2 = m^2
72 + 64 = m^2
136 = m^2
m^2 = 136
m = sqrt(136)
We can simplify this but your teacher has chosen not to. If you want to simplify, then,
m = sqrt(136)
m = sqrt(4*34)
m = sqrt(4)*sqrt(34)
m = 2*sqrt(34)
x+2y=16
standard to slope intercept simplification
PLZZZZ YALLLL I NEEDDD HELPPPPP
I'm pretty sure its 17. If 11+7=18
Help hurry need to turn in soon
Answer: x = [tex]\frac{-z - 7}{y}[/tex]
Step-by-step explanation:
Flip the equation
xy + z = −7
Add -z to both sides
xy + z + −z = − 7 + −z
xy = −z − 7
Divide both sides by y
[tex]\frac{xy}{y}[/tex] = [tex]\frac{-z - 7}{y}[/tex]
x = [tex]\frac{-z - 7}{y}[/tex]
x = [tex]\frac{-z - 7}{y}[/tex]
Solve
12x + 5 = 4x + 37
Answer: 4 is the correct answer
Step-by-step explanation:
12x+5=4x+37
12x-4x=37-5
8x=32
x=32/8
x=4
Answer:
x = 4
Step-by-step explanation:
First you look at the two values of the equation, so the difference between the difference of the two variables is 32, ( 37 - 5 ) then we know that ( 12x - 4x ) 8x . So we know that 8x equals to 32, so ( 32/8 ) equals to x = 4.
Consider the problem of utility over territory. Let’s start simply
with a one-dimensional representation. Consider two actors, 1
and 2, with utility functions defined over a single-dimensional
issue space X = [0, 1], but where the actors can own sections or
“provinces” of the interval. The boundaries between sections are
defined by a vector B = (b1, b2, b3, . . . , bn, 1).
Thus, there are n+ 1 provinces. Define a “size” vector containing the lengths of
each province, S = (b1, b2 − b1, b3 − b2, . . . , 1 − bn). Define for
each actor an “ownership” vector Oi with 1s in the place of the
provinces that it owns and 0s elsewhere.
1. Assume that each actor’s utility function is a simple sum of
how much of the space they own so ui=∑n+1,j=1, oj,sj
(a) Can the players both be made better off by exchanging
existing provinces?
(b) Can the players both be made better off by altering the
boundaries of the existing provinces while preserving the
ownership structure?
(c) Can the players both be made better off by reducing the
number of provinces – for instance, by consolidating
contiguous provinces that are owned by the same actor?
2. Now assume that the utility function is a function of the sum
of the squares of the provinces owned, indicating that there are
increasing returns to the size of a province ui=∑n+1,j=1, (oj,sj)^2
(a) Can the players both be made better off by exchanging
existing provinces (without doing anything else)?
(b) Can the players both be made better off by reducing the
number of provinces – for instance, by consolidating
contiguous provinces that are owned by the same actor?
(c) If the actors are free to adjust both the number of
provinces and the ownership structure, what set of
boundaries is Pareto optimal with this utility function?
2.2 (see formula in the attachments) Consider two states, state 1 and state 2, which can unilaterally
set their tariff rates on imported goods, ti ≥ 0. Each state has an
ideal level for its own tariff, and prefers that the other
side’s tariff be 0, Assume that each side’s utility declines
with the distance between the tariff levels and their ideal point,
as follows
1. Draw the t1, t2 quadrant and draw in the ideal points for each
player.
2. Draw in sample indifference curves for the two states around
their ideal points. What shape are they?
3. Draw in the contract curve between the two ideal points. What
shape is it and why? What equation describes it?
4. The contract curve divides the t1, t2 quadrant into two regions.
How do they differ in terms of how the players could realize
joint gains in each region?
2.3 Consider the utility function u(x) = xρ, where ρ > 0 and x ∈ [0,
1]. Under what conditions would a player with such preferences
be risk acceptant, risk neutral, and risk averse?
Jim's car repair charges $50 plus $16 for every pint of oil. Sam's car repair charges $80 plus $14 for every pint of oil. At how many pints of oil would the cost be the same?
Answer:
5 pints of oil for 8 dollars
Step-by-step explanation:
1.65 dollars for 1 pint
3.4/2=1.7 dollars for 1 pint
8/5=1.6 dollars for 1 pint
17.6/10=1.76 dollars for 1 pint
33/20=1.65 dollars for 1 pint
The sum of four siblings ages is 71. The second child’s age is twice the youngest, the third child’s age is twelve more than the youngest, and the oldest child is four less than three times the youngest. Find each of the siblings ages.
Answer: 9, 18, 21, and 23 respectively
Step-by-step explanation:
To solve any problem like this, you want to assign a variable to each child because you dont know their age. So lets write an equation and assign variables to these children.
r = first child (youngest)
x = second child
y = third child
z = fourth child (oldest)
We know that r + x + y + z = 71
We also are given info on the comparisons of their ages.
r = r
x = 2r (2 times the youngest)
y = 12 + r (12 more than the youngest)
z = 3r - 4 (4 less than 3 times the youngest)
That was the easy part tbh, now we have to solve for 'r'. We can see that all the ages are a function of the same variable (r), and we know the sum of them is equal to 71. So lets solve for r and then plug that r value into each equation we just derived.
Child #1 (youngest)
[tex]r+2r+(12+r)+(3r-4)=71\\3r+12+r+3r-4=71\\7r+12-4=71\\7r+8=71\\7r=63\\r=9yrs[/tex]
Child #2
[tex]x=2*9=18yrs[/tex]
Child #3
[tex]y=12+r=12+9=21yrs[/tex]
Child #4 (oldest)
[tex]z=3r-4=(3*9)-4=27-4=23yrs[/tex]
Fact Check:
[tex]9+18+21+23=71[/tex]
If a stock falls from $14.89 to $6.47, then what is its percentage of change?
Answer:
2.30139104 US dollar
i think
Step-by-step explanation:
i need help asap plsssssss helpppppp
solve for x in terms of y: 5y = 3x + 2
Answer:
d. x = 1/3 (5y - 2)
Step-by-step explanation:
5y = 3x + 2 (subtract 5y and 3x on both sides)
-3x = -5y + 2 (divide by -3 or multiply by 1/3)
x = 1/3 (5y - 2)
please help
thanks in advance
Answer:
24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
The median is the number in the middle. So first we order these numbers up which is:
2 15 16 23 24 25 25 26 34
Next we see in the middle we have 24, since there is four numbers on either side.
A rubber ball has a diameter of three inches. What is its volume?
a. 14 in3
b. 4.2 in3
c. 1.4 in3
d. 42 in3
Answer:
Diameter of the ball = 8 inches
Radius of the ball (r) = diameter ÷ 2 = 8 ÷ 2 = 4 inches
π = 3.14
Surface area of the ball (A) is the same as the surface area for a sphere = 4 π r² = 4 × 3.14 × 4² = 200.96 inches²
Step-by-step explanation:
hi nice to meet you
Using the formula of volume of sphere, the volume of the rubber ball is 14[tex]inches^{3}[/tex] approximately.
What is the volume of sphere?The volume of sphere is the amount of space occupied, within the sphere.
Diameter of sphere = 3 inches
Radius of sphere = 3/2 = 1.5 inches
Volume of sphere = [tex]\frac{4}{3}\pi r^{3}[/tex] = [tex]\frac{4}{3}*\frac{22}{7}*1.5^{3}[/tex] = 14.13 [tex]inches^{3}[/tex]
Learn more about volume of sphere here
https://brainly.com/question/9994313
#SPJ3
Find the slope of a line parallel to the given line.
Evaluate the expression 4x-17 starting at 5 , ending at 20 , and stepping by 5
Use spreadsheet to Evaluate the expression ??
Answer:
Step-by-step explanation:
I know it’s late but is anybody here
Answer:
b is 0
Step-by-step explanation:
yes, i am here :)
Answer:
Equation: y = [tex]\frac{1}{2}x[/tex]
m = [tex]\frac{1}{2\\}[/tex]
b = 0
Type of Slope = Positive linear slope
We are here for you m8.
can some some one at least answer one or two of these
Answer:
6 (for the "cody's bike" one)
Step-by-step explanation:
48-18=30
30/5-6
hope this helped! =)
(2x3 + x4 - 6x2 + 11x - 10) divided (x2 + 2 - x)
Answer:
I think x 2 +3x−5
Step-by-step explanation:
Which statement best describes the relationship between the two figures?
Answer:
it is C
Step-by-step explanation:
it is reflected so the angles and the sides stay the same.
The statement best describes the relationship between the two figures is: figure JKL is similar to figure J'K'L'.
What are Similar Triangles?Similar triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.
As per the given figure,
In triangles ΔJKLand ΔJ'K'L',
side JK = side J'K'
side KL= side K'L'
side JL = side J'L'
According to Side-Side-Side criterion, two triangles are similar if three sides of a triangle are equal to the corresponding sides of the other triangle.
Thus, ΔJKLand ΔJ'K'L' are similar triangles due to equal pairs of corresponding sides.
Learn more about similar triangles here:
brainly.com/question/25882965
#SPJ2
Will give brainliest,
Is it possible for triangle JKL to be similar to triangle XYZ? Explain. m
Answer:
we I would need to see the triangles, but yes. Both triangles can have that same the same angles or the same side lengths.
NEED HELP ASAP WILL GIVE BRAINLY IF CORRECT
Answer:
p = 45 - 2.5f
Step-by-step explanation:
5f + 2p = 90
just manipulate the equation, treat it like a regular algebra equation and solve for p by inverse operations and simplifying
5f + 2p = 90
-5f -5f
2p = 90 - 5f
/2 /2
p = [tex]\frac{90 -5f}{2}[/tex]
p = 45 - 2.5f
Solve each system by using substitution
X= Y - 2 4X + Y = 2
Answer:
10
Step-by-step explanation:
Answer:
(0, 2 )
Step-by-step explanation:
Given the 2 equations
x = y - 2 → (1)
4x + y = 2 → (2)
Substitute x = y - 2 into (2)
4(y - 2) + y = 2
4y - 8 + y = 2
5y - 8 = 2 ( add 8 to both sides )
5y = 10 ( divide both sides by 5 )
y = 2
Substitute y = 2 into (1) for corresponding value of x
x = 2 - 2 = 0
Solution is (0, 2 )
If f(x)=x+12 and g(x)=x−5, find f(x)⋅g(x).
A) x^2+17x−60
B) x^2−7x+60
C) x^2+7x−60
D) x^2+7x−7
Answer:
C
Step-by-step explanation:
f(x).g(x) is
(x+12).(x-5)=x^2-5x+12x-60(add like terms)
=x^2+7x-60, the answer is C
x+2y=8
standard to slope intercept form
Answer:
2x + 8 = y
or
2y = x + 8
Step-by-step explanation:
16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain. (2 points
Answer:
yes
Step-by-step explanation:
10x10=6x6 + 8x8
100= 36 + 64
Pythagoras theorem
The expression 7(x + 3)- 3(2x-2) is equivalent to
Answer:
x+27
Step-by-step explanation:
7(x+3)-3(2x-2)=
(distribute)
7x+21-6x+6=
(combine like terms)
x+27
how many miles are in 234,230 feet ?
Answer:
in 234,230 feet there are 44.36 miles
One pound of candies costs $3.50.
How much will we have to pay for 0.2 lb?
PLS MY GRADE IS LOW!! IVE BEEN ASKING SINCE YESTERDAY!! LITTERALLY!!! EXTREAMLY EASY I AM JUST AFRAID TO GET THIS WRONG SO IF YOU COULD TAKE A MINUTE AND HAVE SOME PITY FOR ME PLS COME HELP AND LOOK!!! WHERE THE EXPERTS!!! THEY DONT COME HELP ANYMORE!!
( TO HELP ANSWER LOOK AT THE IMAGE BELOW)
2. Which kind of model do you think best represents the profit for each business? Explain.
3. Find a function that models the profit you can expect, based on your projections, for each business. You can round your values to the nearest thousandth, as needed.
4. Look at the functions that describe the profits of each business. Why do you think the a-value of the lawn care business is negative while the a-values of the dog walking and housesitting businesses are positive?
Answer:
The lawn care is the most sucsessful.The most money is earned and the uh House shelter or whatever is in the middle and the dog thing is the least sucsesful with the money.
For the second,i dont get it.
The lawn care is wealthy BUT never judge a book by its cover so the lawn care (lc)may be dirty,smelly,uncivilized,or just no privacey.
Three sisters earned $6.39 at their lemonade stand. They want to share their earnings equally. What amount will each sister receive? Write an equation that shows the solution.
Answer:
$6.39/3=x
x=2.13
Each sister will earn 2 dollars and 13 cents.
Step-by-step explanation:
2 Review Homework 2.2.4 Question Help A town has accumulated 5 inches of snow, and the snow depth is increasing by 5 inches every hour. A nearby town has accumulated 7 inches, and the depth is increasing by 2 inches every hour. In about how many hours will the snowfall of the towns be equal?
Answer:
You need to find the equations for each scenario and set them = to each other
Step-by-step explanation:
A) S = 5t + 5
B) S = 7t + 2
Now set them = and solve for t
5t + 5 = 7t + 2
3 = 2t
t = 3/2 of an hr
To check plug in 3/2 into both equations and you should get same answer.
Hope this helps and never stop striving to learn more!