Given:
The equation is
To find:
The solution of the given equation.
Solution:
We have,
Subtracting both sides by 20, we get
Multiply both sides by 3.
Therefore, the solution of the given equation is 
.
Isaac:12 x 13=156Jake:52 x 12=624Rosie:78 x 92=7,176
Therefore the order is Isaac, Jack, Rosie(Isaac spent not spend)
First, let's find the x and y intercepts
In the first equation
y - 4x = -1
Put x =0
y= - 1
(0, -1)
Put y=0 and the n solve for x
0 - 4x = -1
-4x = -1
x=0.25
(0.25 , 0)
The points for the first equation is (0, -1 ) and (0.25, 0)
Next is to find the intercts for the second equation
y + x = 4
put x=0
y = 4
(0, 4)
Put y =0
0 + x = 4
x = 4
( 4, 0)
The points for the second equation are;
(0, 4) and (4, 0)
Below is the graph
For this case we have the following equation:
r = 9 sin (θ)
In addition, we have the following change of variables:
y = r * sine (θ)
Rewriting the equation we have:
r = 9 sin (θ)
r = 9 (y / r)
r ^ 2 = 9y
On the other hand:
r ^ 2 = x ^ 2 + y ^ 2
Substituting values:
x ^ 2 + y ^ 2 = 9y
Rewriting:
x ^ 2 + y ^ 2 - 9y = 0
Completing squares:
x ^ 2 + y ^ 2 - 9y + (-9/2) ^ 2 = (-9/2) ^ 2
Rewriting:
x ^ 2 + 1/4 (2y-9) ^ 2 = 81/4
4x ^ 2 + (2y-9) ^ 2 = 81
Answer:
The Cartesian equation is:
4x ^ 2 + (2y-9) ^ 2 = 81
Census
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<em>*100% CORRECT ANSWERS</em>
Question 1
Which type of study best describes the following research most likely to be done?
A researcher is testing out a brand new type of safety suit for fires and is trying to test the maximum threshold of the suit.
Simulation Study
Question 2
Which type of study best describes the following research most likely to be done?
A test is being conducted on a new medicine that is supposed to heal cuts faster. One group is given the actual medicine in a gel type of ointment to apply to the cuts. The second group is given just regular Vaseline that looks like the medicine but has not benefit to put on the cut. The results are then compared.
Experimental Study
Question 3
Which type of study best describes the following research most likely to be done?
A researcher is wanting to research the after effects of plant growth after a nuclear reactor meltdown and decides to study plants within a 50 mile radius of the power plant that had a catastrophic melt down in 2011.
Observational Study
Question 4
Which type of study best describes the following research most likely to be done?
A study is being conducted by an insurance actuary and he wants to determine how often American teen drivers that are on the honor roll get into wrecks.
Sampling
Question 5
Which type of study best describes the following research most likely to be done?
A teacher wants to know how fast all her students for a particular period can complete a multiplication quiz to check their mental math abilities. So, all of her students are tested on a computer and the time of each and every student is recorded.
Census
