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Sinachi
Questions and answers by visitors named
Sinachi
Questions (351)
A ball is dropped on the ground. The time interval is between the first and second bounce is 1.2s. The time interval between the
2 answers
146 views
Before the modern times science was dominated by
Thomistic world view Platonic world Aristotlean world view Milesian world view
2 answers
89 views
Two geometric progressions have equal sums to infinity. Their first terms are 27 and 36 respectively. If the common ratio of the
1 answer
103 views
How many terms are there in the geometric progression 2, 4, 8...,128?
4 answers
82 views
The sum of the first three terms of a geometric series is 37/8. The sum of the first six terms is 3367/512. Find the first term
1 answer
87 views
Find the complex numbers z and W such that z+w=4+3i and z-iw=3-2i
2 answers
56 views
Solve for real X and y
X+yi=(1-i)(2+8i)
1 answer
49 views
Find cosπ/12 and 7π/12 using the known values of sine cosine and tan of π/3 and π/4
1 answer
66 views
Write z=1+√3i/2 in modulus arguement form. Hence evaluate z^8-2z^4-1
1 answer
70 views
Express (1+i)^20 in the form a+ib
1 answer
57 views
Find the modulus and argument of this complex numbers 5+i/2+3i
1 answer
105 views
If u1=-1, u2=-5 and ur=a+br, find a, b and u6
1 answer
81 views
The 2nd 3rd and 4th term of an ap are x-2, 5 and x+2 respectively. Find x
1 answer
94 views
Express the series in summation notation where the sums are to n terms. 1*3^2+2*4^2+3*5^2
2 answers
98 views
Express the series in summation notation where the sums are to n terms. 1-3 + 9-27 +...
2 answers
96 views
The 2nd 3rd and 4th term of an aritmetic progression
are x-2, 5 and x+2 respectively. Find x
2 answers
94 views
Find Φ given that 2cos^2Φ=3+5cosΦ and 0<Φ<360
1 answer
58 views
A binary operation * is defined on the set of rational numbers by m*n=m^2-n^2/2mn, m, n is not equal to 0. Find -3*2. Is *
1 answer
70 views
Prove that tanx/1+sec x - tan x/1-sec x=2 cosec x
1 answer
88 views
Express the polar form of zw, z/w and 1/z where; z=4√3-4i, w=8i
1 answer
62 views
Express the polar form of zw, z/w and 1/z where; z=4(√3+i), w=-3-3i
1 answer
60 views
Solve the equation 2x^2-x-4+√2x^2-x+8=30
1 answer
53 views
Demonstrate the three axioms of a field that are not satisfied by the set {... -4, -2, 0, 2, 4, 6...} under the usual operations
3 answers
94 views
Verify that the set of rational numbers, together with the usual addition and multiplication operations, is a field
1 answer
64 views
If X and yard positive numbers, show that (x+y)(1/x + 1/y)>4
1 answer
61 views
If X and y are positive numbers, show that (x+y)(1/x + 1/y)>4
1 answer
94 views
Find the range of values of X for which a) x-2/x+3 <0 b) x^3 - 2x^2-2>0
1 answer
55 views
Using the substitution u=x-2, write x^3 + 5/(x-2)^4 as an expression in terms of u
1 answer
72 views
Using (u+2)^3 + 5/u^4 express x^3+5/(x-2)^4 in partial fractions
1 answer
101 views
Resolve x+62/(3x-1)^2(2x+3)
1 answer
56 views
Resolve x+62/(3x-1)^2(2x+3) into partial fractions
1 answer
72 views
Resolve 3x^3-x^2-13x-13/x^2-x-6 into partial fractions
1 answer
74 views
Express 5x^2+7x+8/(x+1)(x^2+2x+3) as a sum of partial fractions
1 answer
82 views
Express 3+5/(x+1)(2x^2+7) as a sum of partial fractions
1 answer
73 views
If α and β are the roots of the equation x^2-px+q=0, form the equation whose roots are α/β^2 and β/α^2
1 answer
54 views
Find the relation between p, q and r if one root of the equation px^2+qx+r=0 is double of the other
1 answer
78 views
Use mathematical induction to justify that if 1+x>0, then for all n € Ñ, (1+x)^n>1+nx
1 answer
72 views
Find the value of X where 2+9√x/2√3-3√3x=√3+2√2
1 answer
44 views
Prove by mathematical induction that the sum of the first n terms of the geometric series 1/5 + 1/5^2 + ... is 1/4(1-1/5^n+1)
1 answer
66 views
Say whether the following is true or false. If true, prove using mathematical induction. If false, give a counter-example.
4 answers
125 views
Say whether the following is true or false. If true, prove using mathematical induction. If false, give a counter-example.
2 answers
80 views
Using mathematical induction show that 1^3+2^3+3^3...+n^3=1/4n^2(n+1)^2 for all n € Ñ
1 answer
72 views
Two mathematics books, 5 different physics books and 3 different chemistry books are to be arranged on a shelf. How many
1 answer
89 views
The second, third and fourth terms in the expansion (a+b)^n are 12 60 and 160 respectively. Calculate the values of a, b and n
2 answers
57 views
Write the four terms of the binomial expansion (2-1/x)^5 in ascending powers of X. Hence find (1.9)^5
2 answers
114 views
Find the coefficient of X^6 in the expansion of (1/x^2-x)^18
1 answer
54 views
Find the term independent of y in the expansion (x^4/y^3+y^2/2x)^10
1 answer
96 views
If the coefficients of X^2 and X^3 in the expansion of (3+kx)^9 are equal, find the value of k.
1 answer
81 views
Express 3+5/(x+1)(2x^2+7) as a sum of partial fractions
1 answer
115 views
Find the term independent of y in the expansion ((x^4/y^3)+(y^2/2x))^10
1 answer
97 views
Using the substitution u=x-2, write x^3 + 5/(x-2)^4 as an expression in terms of u. Use the answer to express x^3 + 5/(x-2)^4 in
1 answer
86 views
f(x)=x^2+ax+b. If f(1)=3 and one of the roots of the equation f(x)=0 doubles the other find the values of a and b
1 answer
66 views
Solve the equation x^2-y^2=24, 1/(x+y) + 3/(x-y) = 11/12
1 answer
64 views
Find the value of X where 2 + 9√x/(2√3 -√3x)=√3+2√2
1 answer
73 views
Express (u+2)^3 + 5/u^4 in partial fractions
1 answer
88 views
Solve the equation 2x^2 - X - 4 + √2x^2-√x+√8=30
1 answer
49 views
A function f, defined for all real X, has the following properties I) f(x)>0 for all X, ii)f(x+y)=f(x)f(y) for all X and y and
1 answer
68 views
If x^2+3(k+3)x-9k/2=0 has equal roots, find the possible values of k
1 answer
61 views
Prove that (a^2+b^2)x^2 + 2 = 0 has no real roots if a is not equal to b
1 answer
67 views
Prove that (a^2+b^2)x^2 + 2(a+b)x+2 = 0 has no real roots if a is not equal to b
2 answers
82 views
If α and β are the roots of the quadratic equation 3x^2-4x+7=0 find 1/α^2 + 1/β^2
1 answer
60 views
If α and β are the roots of the quadratic equation 3x^2-4x+7=0 find α/3β + β/2α
1 answer
51 views
If α and β are the roots of the quadratic equation 3x^2-4x+7=0 find α-β
1 answer
67 views
If α and β are the roots of the quadratic equation 3x^2-4x+7=0 find α^3+β^3
1 answer
63 views
Find the relation between p q and r if one root of the equation px^2+qx+r=0 is double of the other
1 answer
77 views
Find the first four terms of the expansion of sqrt(1-3x). Hence evaluate √0.7 correct to 4 d.p
4 answers
81 views
Using geometric progression express 5.666666666 as a fraction
2 answers
68 views
If a and b are the roots of the equation x^2-px+q=0, form the equation whose roots are α/β^2 and β/α^2?
1 answer
63 views
Y | t^2
40 | 2.42 35. | 2.59 30 | 2.77 25 | 2.98 20 | 3.17 15 | 3.34 10 | 3.57 Plot a graph t^2 vs y Find the slope s The
1 answer
67 views
Express(1+i)^20 in the form of a+ib
1 answer
55 views
When cadmium metal reduces cu in solution CD forms in addition to copper metal. If ΔG=-143KJ calculate k at 25 degree celsius
4 answers
77 views
The Zn electrode is chipped in a solution containing znso4 and gives off electrons it is therefore
1 answer
54 views
43.7g of anhydrous CuSO4 were dissolved in water and the solution made up to 2dm^3. What is the minority of the solution
1 answer
66 views
2.54g of sodium chloride were dissolved in water and the solution made up to 100c^m3. What is the concentration of the solution
1 answer
73 views
Radio 5 live in the UK broadcast at 909kHz. What wavelength does this correspond to
1 answer
68 views
What is the frequency of red light with a wavelength of 680nm?
1 answer
96 views
What is the energy of a mile of radio wave photons with a frequency of 909kHz?
1 answer
59 views
What is the energy of a mile of a red light photos with a wavelength of 680nm?
1 answer
63 views
What is the energy of a mole of a red light photos with a wavelength of 680nm?
1 answer
67 views
What is the energy of a mole of radio wave photons with a frequency of 909kHz?
1 answer
95 views
Carbon monoxide has ten bonding electrons and four antibonding electrons. Therefore it has a bond order of
1 answer
71 views
What did Arrhenius define acid acid as
1 answer
58 views
How many grams of Ca(OH)2 are contained in 1500ml of 0.0250m Ca(OH)2 solution
1 answer
115 views
What is the minority of the salt produced in the reaction of 200ml of 0.1m Hcl with 100ml of 0.500 m koh
1 answer
81 views
What is the molarity of the salt produced in the reaction of 200ml of 0.1m Hcl with 100ml of 0.500 m koh
1 answer
168 views
What is the oxidation number for carbon in CaC2O4
1 answer
118 views
How many atoms of al are present in 2.32g of al
3 answers
75 views
Mathematical statement of the first law of thermodynamics
1 answer
71 views
The rate constant of a first order reaction k is 1.00*10^-2 and an initial concentration of 0.5mol/l. At what time will the
1 answer
68 views
The rate constant of a first order reaction k is 1.00*10^-2/s and an initial concentration of 0.5mol/l. At what time will the
1 answer
72 views
What are the values of ΔG and ΔE for a spontaneous reaction
1 answer
75 views
What volume of oxygen gas is produced at step when a 20g sample of HgO(M=216.6g) is strongly heated
2 answers
80 views
What are the units of k if the rate law of a reaction rate is k[x]^0[y]^0
1 answer
103 views
The K of Al is 2.0*10^-31 at 298k. What is ΔG at (298k) for the precipitation of according to the equation Al^3+3OH^-=Al(OH)3
1 answer
65 views
What set of quantum numbers n, 1,m,ms is invalid
1 answer
146 views
What set of quantum numbers n, l,m,ms is invalid
4 answers
208 views
A current of 0.15A is passed through an aqueous solution of K2PtCl4. How long will it take to deposit 1g of Pt (M=195.1)
3 answers
135 views
What does the energy of an electron in bohr do as it moves away from the nucleus
1 answer
52 views
When cadmium metal is reduced Cu^2+ in solution Cd^2+ forms in addition to copper metal. If ∆G° =-143kJ, Calculate K at 25°C
1 answer
77 views
When cadmium metal is reduced Cu^2+ in solution Cd^2+ forms in addition to copper metal. If ∆G° =143kJ, Calculate K at 25°C.
1 answer
89 views
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