Search results

A standard pack of 52 cards consists of 13 cards of each of the four suits: spades, hearts, clubs and diamonds. a) In how many ways can six cards be selected without replacemnt so that exactly two are spades and four are clubs? (assume that order of selection of six cards is not importnat)...

1. Two spinners are spun simultaneously. First spinner has the numbers 1,2,3 and each of these numbers are equally likely. The 2nd spinner has the numbers 1,3,5,7 and each of the outomes are equally likely. a)what is the probabilty that both spinners stop on the same number? b)what is the...

Find the primitive of: a) 2x / (x^2 +1) b) 3 + (1/x)

i have researched every where for my assesemtn task on technitium-99m and cobalt-60 and i cant seem to find anywhere waht type of radiation they emitt becuase some just say gamma whilst others say gamma and beta need help ASAP plz

1. Consider 2 spin dials. On one of them the letters A, B, C, D and E are printed, and, on the other, the digits 1,2,3,4,5. When the dials are spun, it is equally likely thatthey will stopon any letter/number. What is probabily: - B and even number - cor D abd an odd number -E and a eveb...

1. Four men and four women are to be seated alternatley a) in a row b) at a round table. In how many ways can this be done? 2. Hiow many nuymbers greatewr than 4000 can be formed from 3,5,7,8,9? (REPITION NOT ALLOWED)\ 3. In how many ways can the letters of the word PERMUTE be arranged...

1. A firm is established with new equipment and creates a fund to provide for the replaqcemnt of the equipment after 6 years at an estimated cost of $20,000. How much should be paid into the fund annulally if interest at 11% can be obtained. 2. A family borrows $30 000 from a building society...

1. The chord of contact to the parabola x^2=4ay from the point P(x subscript zero, y subscript o) passese through the point Q (0,2a). Show that the locus of the mid point of PQ is the x axis. 2. Show that the chord of contact of tangents from the point (a,-a) to the parabola x^2=4ay has...

1. Find the co-ordiantes of 3 points on the parabola x^2=4y such that the normals through these points pass through the point (-12,15). 2. Throught he vertex A of a parabola, chords AP and AQ are drawn at right angles to one another. Show that for all positions of P, PQ cuts the axis of the...

1. An arrow is fired horizontally at the centre of a target 50 metres away. Unfortunately, the archer made no allowance for gravity, and the arrow hit 0.8 metres below centre. Find: a) initial horizontal velocity b) Intial vertical velocity c) Intial velocity of projectile d) its range e)...

could someone post step by step 1. A parabolic arch has a span of 32cm and a height of 10cm. Calculate the height of the focus above the horizontal level through the end points. 2. Sjow the following represent parabolas and find vertex, focus and equation of the directrix: a) y^2 - 4x...

help plz 1. for what values of c is the line y= x+c a tangent to the circle x^2 + y^2=4? find the coordinates of the point of contact. 2. Find the equation of the two lines which contain the point (1,3) and are tangents to the parabola y= x^2 - 2x +5.

help needed asap plz 1. If the roots of the equation x^3 + px^2 + qx + r=0 form consecutive terms of a geometric sequence, prove that q^3=p^3r. Show that this condition is satisfied for the equation 8x^3 - 100x^2 + 250x -125=0 and solve this equation. 2. Find two values of m such that the...

1. if a and b are roots of the equation x^2 + 8x -5=0, find the quadratic equation whose roots are a/b and b/a. 2. If a and b are the roots of the equation x^2 + mx + n =0, find the roots of nx^2 + (2n - m^2)x + n=0 in terms of a and b. 3. If a and b are roots of x^2 + 5x +7=0 form the...

Help Plz asap 1. Find the equation of the parabola which passes through the points (-1,0) and (0,-1) and is symmetrical about the Y-axis. 2. Find the equation of the parabola through the points (2,0), (4,0) and (0,8).

Help needed ASAP 1. The roots of the quadratic equation ax^2 - bx - 10=0 are -1 and 5. Find the values of a and b. 2. One root of the equation x^2 + qx + r=0 is 3 times the other. Prove that 3q^2=16r

1. The angle of elevation of a mountain due north of an observer is 12 degrees. From a point 200 metres east of this observer the angle of elevation is 14 degrees. Find the height of the mountain to the nearest metre. i seem to be geting negative and it wont work out.

I need the solution to this question if anyone can help 1. Consider the curve y=7 + 4x^3 - 3x^4 i) Find the coordinates of the two stationary points ii) find all values for which second derivative=0 iii) Determine the nature of the stationary points

1. Evaluate the series 16-8+4-2+....+1/16. 2. Find sum of 9 terms of the series 3 + 3^(4/3) + 3^(5/3) +......... 3. If 1 + 2x + 4x^2 + .....=3/4, find the value of x. 4. Find the first 3 terms of a geometric sequence given that the sum of the first four terms is (21 and 2/3) and sum to...

1. A particle moves on the circumference of the semicircle y= Sqare root 4 - x^2. Find dy/dt when x=1, if dx/dt = 4. 2. A kite, 50 metres high, is being carried horizontally by the wind at a rate of 4m/second. How fast is the string being let out, when the length of the string is 100...