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Sun 18 Jun, 2006 12:55 am
1)which formula is equal to (1/a+a/b)/(a+b)
A)a+b
B) ab/a+b
C) ab
D) 1/ab
E) 1/a+b
2) 4^x=1/2
a)1/2
b)-1/2
c)2
d)0
e)-2
3) a square has diagonal length "a", how long are the sides?
a)a/2
b)square root a/2
c)square root a
d)a (square root 2)/2
e) a
4) slope of line passing through (1,5) and (3,4)
a)1/2
b)2
c)-1
d)-1/2
e)1
5) simplify tan angle/sin angle
a)cos angle
b)1/cos angle
c)(sin angle)^2
d)sin angle
e)1/sin angle
6) evaluate sin pi/3
a) 60
b) square root 3 divided 2
c) 1 over square root 3
d) 1 over square root 2
e) 1/2
7) x=1,2,3,4,
f(x)=3,7,x,15
f(x) is a linear function. find f(3)
a) 3
b) 4
c)11
d) 4x+-1
e) not enough information
8) The distance in feet of a car moving in a straight line is given by s=t^2+4t, where t is measured in seconds. Find the average velocity from t=1 to t=3.
a) 10 ft/sec
b) 16 ft/sec
c) 8 ft/sec
d) 6 ft/sec
e)7 ft/sec
9) a population of fruit flies contains P(t)=149317e^.12t individuals at time t, where t is measured in days from starting time. How many days does it take for the population to reach 1, 000, 000 individuals?
a) 55.8097
b)9.6635
c)0.0008
d)8.3333
e)15.8474
anyone who can answer these would be greatly appreciated!!
correction on number 1
number 1 was supposed to say (1/a+1/b)/(a+b)
I don't have much time because of my exams, so i'll just do the first one. These seem pretty basic tough.
1)
( (1/a)+ (1/b) ) / (a+b)
Multiply with ab.
(b+a) / ( (a+b)(ab) ) =
Divide with (a+b)
1/ab (d is correct)
Ok, the 2nd one:
No need to even use the calculator . 4^-0,5 = 1/2
X = -0,5
3) a square has diagonal length "a", how long are the sides?
a)a/2
b)square root a/2
c)square root a
d)a (square root 2)/2
e) a
From the Pythagorean Theorem, if the length of a side is S:
S^2 + S^2 = a^2
2 S^2 = a^2
S^2 = a^2/2
S = a/SQRT(2)
which is equivqalent to choice d.
4) I see no question. Ok, so there is a line passing those points. So what?
5) 1/cos
Just use the definitions of cos sin and tan.
6) I wasn't born with english. What do they mean with evaluate this number? None of the possible answers are equal to sin (pi/3).
7) I don't understand the question. Is there a function in there?
8) Integral from 1 to 3 and we find out its 24,666. Divide with 3 and its 8,22. Maybe the answer is 8.
9) Find the intersection between the function given and the linear function f(x)= one million. Or do it in another way. Anyways the answer is 15,8.
In my opinion some of the questions could have been formulated clearer.
Re: Help needed!! calculus/physics
riddler wrote:
4) slope of line passing through (1,5) and (3,4)
a)1/2
b)2
c)-1
d)-1/2
e)1
anyone who can answer these would be greatly appreciated!!
Slope of a line = change in y/change in x; the slope of a line passing between two points = (y2 - y1)/(x2 - x1) or 4-5/3-1 or -1/2 (d).
Re: Help needed!! calculus/physics
riddler wrote:
7) x=1,2,3,4,
f(x)=3,7,x,15
f(x) is a linear function. find f(3)
a) 3
b) 4
c)11
d) 4x+-1
e) not enough information
anyone who can answer these would be greatly appreciated!!
From looking at the pattern of the responses (and back-checking the possible responses from the answer list) choice d) 4x+-1 is the function and f(3) = 4*3+-1 = 11 is the answer (c).
I don't understand question 9. Can you explain it to me again. Is that P(t)=149317^12t What is .12t is that a typo?
It is ".12", there is a decimal.
thanks for the help! really helped a lot.
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