Answer: The slope of the line is 2.
Step-by-step explanation:
Slope = change in y/change in x
Slope = (8-4)/(4-2)
Slope = (4)/(2)
Slope = 2
Answer:
x ∈ {2π/3, π, 4π/3} ≈ {2.09440, 3.14159, 4.18879}
Step-by-step explanation:
The equation can be put into standard form by adding 1:
2cos²(x) +3cos(x) +1 = 0
(2cos(x) +1)(cos(x) +1) = 0
Values of cos(x) that make this true* are ...
cos(x) = -1/2 . . . . . . . . . true for x=2π/3, x=4π/3
cos(x) = -1 . . . . . . . . . . . true for x=π
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A graphing calculator can be helpful here, too.
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* from your knowledge of the short table of trig functions and their signs in different quadrants
The two sizes chosen for this item are a quart and one gallon.
The first one is advantageous because when it is desired that this be brought some place, it will not be very bulky and not heavy because among the given, this is the smallest. Also, one gallon can be chosen because it does serve many people at a relatively lower price than the other given.
To get the Total amount upon investment for the compound interest, plug in the value of x into the given expression bellow
<em>A = 9,000.00(1 + x/100)^(4)</em>
Given data
Principal = $9000
Time = 4 years
Rate = x% per annum
<h3>Solution</h3>
First, convert R as a percent to r as a decimal
r = x/100
r = x/100
Then solve the equation for A
A = P(1 + x/100)^t
A = 9,000.00(1 + x/100)^(4)
A = 9,000.00(1 + x/100)^(4)
The total amount accrued, principal plus interest, with compound interest on a principal of $9,000.00 at a rate of x% per year.
Learn more about compound interest here:
brainly.com/question/24924853
Answer:
300 squared unit of measurement
Step-by-step explanation:
12*5*5
12*5 = 60
60*5 = 300
I am assuming this is a rectangular prism