The answer is B)81.33 square units
Answer:
It is the experimental condition.
Step-by-step explanation:
In the experiment given in the question, the amount of sleep is the independent variable and the number of photographs they remember is the dependent variable because it depends on the amount of sleep.
The 8 hours of sleep, which creates the difference in the experiment between the control group and the test group, is the experimental condition.
The experimental condition is the variable that is changed to let the researcher observe the effects on the dependent variable.
I hope this answer helps.
The goal to proving identities is to transform one side into the other. We can only pick one side to transform while the other side stays the same the entire time. The general rule of thumb is to transform the more complicated side (though there may be exceptions to this guideline).
So I'll take the left hand side and try to turn it into 
One way we can do that is through the following steps:
Since we've shown that the left hand side transforms into the right hand side, this verifies the equation is an identity.
Answer:
$76.51
Step-by-step explanation:
The price after discounting is (1.00 - .35)($110), or 0.65($110) = $71.50.
The price after 7% sales tax has been added in is
(1.00 + 0.07)($71.50) = $76.51.
Answer:
45 cm
Step-by-step explanation:
Let x represent the length of the longer leg. Then the hypotenuse is x+8 and the shorter leg is x-17. The Pythagorean theorem gives the relation between these values as ...
(x +8)^2 = x^2 +(x -17)^2
x^2 +16x +64 = 2x^2 -34x +289 . . . . eliminate parentheses
0 = x^2 -50x +225 . . . . . put in standard form
0 = (x -45)(x -5) . . . . . . . . factor
Solutions to this equation are x=5 and x=45. The value of x must be greater than 17, so the useful solution is x=45.
The length of the longer leg of the triangle is 45 cm.
