The minumum TIME will be - b/ 2a = - -5/4 = 5/4 Yes you got that part right
Now sub t = 5/4 into the equation to find the minimum HEIGHT
Heightmin= 25 7/8 ft Ye, you got that part correct too ! (or ...at least we got the same answer! )
Put 7 in for 'x' and 1 in for 'y in the equations to find which equation is true.....
not completely sure if this is correct, but is the answer 6?
x>6
Job = 18 typ x 30 days x 8 hrs / day = 4320 typist hours
10 typist x 12 days = 120 typist days
4320 typist hours / 120 typist days = 36 hours per day (not possible)
E+T+A, no matter the order of the variables, is always =10
E+T+T=15, so T-A=5.
E+T+T can be expressed as E+T+A+(T-A), so we see that E+T+A+(T-A)=15, or 10+(T-A)=15, or 10+5=15.
A+E+A can be expressed as E+T+A-(T-A), so it equals 10-5=5.
Your answer is 5.
If I undestand your question, then there are 9 such arrangements as follows:
STOP: [{O, P, S, T} , {O, P, T, S} , {O, S, P, T}, {P, O, S, T}, {P, O, T, S} , {P, S, T, O} , {T, O, P, S}, {T, P, S, O}, {T, S, P, O} ]
sqrt(47) is about 6.856
sqrt(206) is about 14.353
so we have to add 7+8+9+10+11+12+13+14, which is 84.
Sorry, but it'snt right. How did you get 3/5 btw?
By similar triangles, PQ/FH = 3/5.
there are 8
(1,1)
x = 1, y = 1
n =15, 60, 135, 240, 375, 540, 735, 960
sorry i have yet to learn about sin and I dont rlly understand what u said anyways.
We use the formula x=-b/2a to find the minimum.
x=-(-5)/2(2)
x=5/4
This is the x value though, so we plug it into the equation(t is the x value) y= 2t^2-5t+29.
y=2(5/4)^2-5(5/4)+29
y=2(25/16)-25/4+29
y=50/16-100/16+29
y=207/8 feet
I am not entirely sure if this is right, so please tell me.
Ok, thanks.
Let x be the number of bananas bought. Then the number of peaches bought is 15-x.
We form an equation.
0.4x+0.5(15-x)=7
0.4x+7.5-0.5x=7
-0.1x=-0.5
x=5
She bought 5 bananas and the 15-x=15-5=10 peaches.
A rectangular page is designed to contain 64 square inches of print. The margins at the top and bottom of the page are each 2 inches deep. The margins on each side are 1½ inches wide. What should the dimensions of the page be so that the least amount of paper is used?
There are 792 - 4*6 = 768 for Marvin to reach (5,7).
Using casework, there are 4 + 18 + 4 + 2 = 28 ways of distributing the balls.
The dimensions should be 4 by 16.
AB is a diameter so angle ACB = 90 deg, so angle ACM = 45 deg and so angle ABM is also 45 deg.
Now use a part of the sine rule which is often forgotten, the bit that says that the ratios are equal to twice the radius of the circumscribing circle.
So, from the triangle CBM, CM / sin(/_CBM) = 10.
Angle CBM is made up of the angle CBA (and you can get the sine and cosine of that from the triangle ABC), and the 45 deg angle ABM.
Expand sin(/_CBM) = sin(/_CBA + /_ABM), etc..
First look to see that x cannot equal 2 because denominators would = 0
Now change L side by getting common denominator
x^2-4 - 2x^2+4x = -1
(x^2-2x)(x-2)
the top factors to (x-2)(-x+2) then cancel out the x-2 in the top and bottom and you have
(-x+2)
(x^2-2x) = -1
or -x+2 = 2x-x^2
x^2-3x+2
(x-2)(x-1) = 0 ` solve for x = 1 or 2 (not allowed)
You're welcome!
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