The answer is = (3-2)x4 = (3-2)=1, 1x4=4
The terminal point represented by P(x,y), is the coordinate where a certain point lies. Given is 5pi/4 radians - this will be our angle.
Evaluate the values of x and y using sin θ and cos θ
x = cos (5pi/4)
x = -√2/2
y = sin (5pi/4)
y = -√2/2
Therefore, (x,y) is (-√2/2, -√2/2)
Answer:
Controlled Experiment
Step-by-step explanation:
The controlled experiment involves the experiment in which all factors are considered as constants whereas one factor is not fixed and that one is independent variable whose effect is to be tested. In short, in controlled experiment one group of data contains control group and one or more other groups are examined by considering all other factors constant except for one factor. The control group is the group that doesn't receive any treatment whereas treatment is applied to experimental group and then effect of treatment is measured through comparing both groups.
Here group of boys is divided in to two groups
The group watched violent cartoon= Experimental group
The group watched cartoons without violence= Control group
The researchers want to know whether the violent actions of boys are linked to violent cartoon and for this purpose these boys are divided into experimental group and control group and after 1 hour of cartoons watching the researcher will observed boys for next two hours.
Hence the study is Controlled experiment.
Answer:
2 ( 3²x² - 5² )
Step-by-step explanation:
it is the answer
Answer:
$2000 was invested at 5% and $5000 was invested at 8%.
Step-by-step explanation:
Assuming the interest is simple interest.
<u>Simple Interest Formula</u>
I = Prt
where:
- I = interest earned.
- P = principal invested.
- r = interest rate (in decimal form).
- t = time (in years).
Given:
- Total P = $7000
- P₁ = principal invested at 5%
- P₂ = principal invested at 8%
- Total interest = $500
- r₁ = 5% = 0.05
- r₂ = 8% = 0.08
- t = 1 year
Create two equations from the given information:
Rewrite Equation 1 to make P₁ the subject:
Substitute this into Equation 2 and solve for P₂:
Substitute the found value of P₂ into Equation 1 and solve for P₁:
$2000 was invested at 5% and $5000 was invested at 8%.
Learn more about simple interest here:
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