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lindsay

Questions (113)

Four bottles of water and 3 bagels cost $10.94. At the same prices, 3 bottles of water and 6 bagels cost $11.28. Find the price
1. 1 answer
2. 405 views
a woman's long jump record is about 1 1/6 the distance of the 15-16-year-old girl's record of 20 13/14 feet. find the distance
1. 3 answers
2. 819 views
solve the equation6y-2=8y-5
1. 1 answer
2. 430 views
7.2-8.6+(9.3)-(-5.4)
1. 3 answers
2. 290 views
Show that 4/2^x = 2^2-x and hence or otherwise solve for x in the equation 2^x +2^x-2 =5
1. 1 answer
2. 275 views
27 root 3 =3^b. Find the value of b.
1. 4 answers
2. 367 views
An A.P. is given by k,2k/3,k/3, 0,...Find the 6th term.
1. 2 answers
2. 1,294 views
Find1. the binomial expansion of (3+2x)^5 simplifying terms. Hence find the binomial expansion of (3+2x)^5 +(3-2x)^5.
1. 4 answers
2. 3,819 views
Find1.The first 4 terms of the binomial expansion in ascending powers of x of (1+x/4)^8. 2.Use your expansion to estimate
1. 3 answers
2. 2,226 views
Find the first three terms in ascending power of 'x' of the binomial expression of (3+bx)^5 where b is a non zero constant.
1. 3 answers
2. 2,082 views
A series is defined by 8+4+2+1+1/2+1/4+...+1/32 Write the series in sigma notation
1. 2 answers
2. 1,079 views
find the sum of an A.P.of eleven terms whose first term is 1 and whose last term is 6.
1. 1 answer
2. 478 views
The sum of the first 20 terms of an arithmetic series is identical to the sum of the first 22 terms. If the common difference is
1. 5 answers
2. 7,101 views
a 40 year building programme for new houses began in 1951(year 1) and finished in 1990 year (40). The number of houses built
1. 4 answers
2. 1,919 views
Given that 2 log base2 (x+15) - log base2 x = 61.Show that x^2 -34x +225 = 0 2. Hence or otherwise solve the equation 2 log base
1. 4 answers
2. 2,693 views
Solve4^y -7(2^y) = 8
1. 2 answers
2. 881 views
Solve3 log x = 1 + log (4x+5)/ log 2
1. 1 answer
2. 353 views
Given that x = 2log t is a solution of the equation10^(2x+1) -7(10^x) -26 =0. Find t
1. 1 answer
2. 435 views
A floor measures 10m by 5m is to be covered with flooring boards measuring 1m 20cm. How many flooring boards would be needed to
1. 3 answers
2. 694 views
0.06 2/3 into a fraction
1. 4 answers
2. 862 views
solve the following inequality/3x + 12/ >/ 21 PS >/ means greater than or equal to.
1. 3 answers
2. 470 views
What is the negation of p and q?
1. 2 answers
2. 1,010 views
solve the following absolute value question/4x + 5/ =25
1. 1 answer
2. 276 views
The equation kx^2 -2x-7=0 has two real and identical roots, find the value of k.
1. 1 answer
2. 393 views
The following statement defines a relation R in the natural numbers N. state whether or not each relation is symmetric1. x is
1. 1 answer
2. 366 views
Find the exact value of1. tan 75 degrees 2. Cos 15 degrees 3. Sin 105 degrees
1. 4 answers
2. 1,301 views
Two pieces of wire are stretched from the top M, of a vertical pole to the points L and N on the horizontal ground, The angle of
1. 2 answers
2. 560 views
Dave walked from point A to point B due North East for a distance of 20m. He immediately changed direction and walked 50m from B
1. 2 answers
2. 557 views
Dave walked from point A to point B due North East for a distance of 20m. He immediately changed direction and walked 50m from B
1. 2 answers
2. 1,129 views
Prove that Sin x + tan x / 1+cosx =tan x
1. 1 answer
2. 350 views
If the bearing fron H to G is 098 degrees, what is the bearing of G from H
1. 3 answers
2. 871 views
Solve the equation 8 cos^2 X -2 =0 given that 180< or equal to X <or equal to 360 degrees.
1. 2 answers
2. 1,143 views
Triangle DEF is such that DF=8cm,EF=5.5cm and its area is 11 root2 cm^2. Find angle EFD.
1. 2 answers
2. 840 views
Given the functiony= 4cos(2x+90degrees)-3, Find the value of y when x =30 degrees.
1. 1 answer
2. 350 views
Simplifycos Theta/4 cos theta/4 - sin theta/4 sin theta/4.
1. 1 answer
2. 340 views
Triangle XYZ with vertices X(3,-1) Y(7,-3)Z(3,-5) undergoes an enlargement represented by the mapping:(x)--(-0.5 0)(x) +(-3)
1. 1 answer
2. 446 views
Triangle XYZ with vertices X(3,-1) Y(7,-3)Z(3,-5) undergoes an enlargement represented by the mapping:x
1. 1 answer
2. 994 views
The 9th term of an AP is 8 and the 4th term is 20. Find the first term and the common difference.
1. 4 answers
2. 3,293 views
find the exact value of [sec(-30 degrees)- cot 120 degrees]/1-cosec^2(45 degrees)Find the exact value of [sin^2(355 degrees) +
1. 2 answers
2. 736 views
This is a matrix question.R is the matrix (3r 1) (s 2s) 1. State, in terms of s and r the determinant of R 2. If r=1/3 and s=4
1. 1 answer
2. 576 views
This is a matrix question.R is the matrix (3r 1) (s 2s) 1. State, in terms of s and r the determinant of R 2. If r=1/3 and s=4
1. 3 answers
2. 721 views
This is a matrix question but I can't get a single bracket so I will use two.(a b)(5 1) =(12 -2) (3 0)(-2 4) (15 3) Find the
1. 1 answer
2. 318 views
A sequence is generated by the recurrence relation Ur+1 = 1/Ur -3. Given that U2 = U1 find the possible of U1
1. 3 answers
2. 861 views
a species of orchid is being studied. The population 'p' at time 't' years after the study started is assumed to be p =
1. 4 answers
2. 1,654 views
A sector AOB of a circle, centre O, radius r cm, where the acute angle AOB is theta radians. Given that the perimeter of the
1. 1 answer
2. 892 views
Can you explain how I find the values so I can plot a graph ofT=(25 ln24/ln) -(25/ln2) ln M
1. 1 answer
2. 348 views
Current price is $100, current salesbare 5000 units. For every increase in price of $1, sales decrease by 20 units. Find optimum
1. 1 answer
2. 927 views
3. Write the function R that models the total number of components that reenter the atmosphere around the earth each year.
1. 1 answer
2. 1,089 views
Calculat the absolute value of:4-{x-3}=0 PS. The brackets are supposed to be the straight lines for the absolute symbols.
1. 3 answers
2. 496 views
If f(x)=2x+1/x-3 and g(x)=1-x/2Show that f(g)(x)=g(f)(x)
1. 3 answers
2. 772 views
Given that h(x)=x+1/x-2 and g(x) =4-x. Find h(g)(x) and find g(h)(x).P.S. Thanks for the correction Steve.
1. 1 answer
2. 280 views
Given that h(x) =x+1/x-2 and g(x)=4-x.Find hg(x) and find gh(x)
1. 1 answer
2. 363 views
Find the range of values of 'c' for which g(x)= -3x^2-4x-c has complex roots
1. 2 answers
2. 929 views
The function f:x =2x+1/x-3 and g:x =1-x/2a. For what value of x is 'f' undefined? b. Find 'f' inverse and hence solve f(x) =1/3.
1. 1 answer
2. 323 views
I need to sketch the graph of t(x)=2x^2 +3x > or equal to 10x-x^2. How do I work out the points to plot on the graph?
1. 2 answers
2. 1,124 views
How to solve13 is 10 percent of what number?
1. 1 answer
2. 286 views
How many photons are produced in a laser pulse of 0.324 J at 631 nm?
1. 1 answer
2. 408 views
To resolve an object in an electron microscope, the wavelength of the electrons must be close to the diameter of the object.
1. 2 answers
2. 969 views
What ia A inverse if A = (3 -2)(3 2)
1. 1 answer
2. 298 views
Solve the inequality 2x^2<12-5x
1. 3 answers
2. 360 views
Solve the equation3^2x - 12 x 3^x + 27 = 0
1. 3 answers
2. 2,067 views
simplify the following giving your answer with a rational denominator,2 root3 - root 3/ 2 + root three.
1. 1 answer
2. 465 views
solve: n squared + 5n = 84 for n?
1. 2 answers
2. 694 views
to start a nuclear fusion reaction, two hydrogen atoms of charge 1.602x10^-19 and mass 1.67x10^-27kg must be fired at each
1. 3 answers
2. 674 views
a square with side length 2.0 cm has a charge of -1.0x10^-6C at every corner. What is the magnitude and direction of the
1. 3 answers
2. 816 views
a metal ball with a charge of 5.4x10^8 electrons is touched to another metal ball so that all the excess electrons are shared
1. 2 answers
2. 1,270 views
Given that P=(2,10)(5,-3) a. Evaluate the inverse P^-1, of P b. use a matrix method to solve x(2,5)+ y(1,-3) =(7,1)
1. 1 answer
2. 391 views
The towns A and B are on the circle of latitude 24 degrees N.The longitude of A is 108degrees E and longitude B is 75 degrees E.
1. 1 answer
2. 920 views
The points A=(1,1) B=(3,4) connects to point C (3,1).a. Find the length of AB b. The gradient and equation of line AB
1. 3 answers
2. 361 views
R =(cos0 -sin0)(sin0 -cos0) State the matrix R for 0=120 degrees NB 0 represents theta
1. 1 answer
2. 1,004 views
I need help in understanding how to identify which identity to use. using this question as an example.Show that tan theta (sin
1. 2 answers
2. 589 views
In the triangle ABC, the sides AB and BC have lengths 7cm and 8cm respectively, and angle B is obtuse. the area of the triangle
1. 5 answers
2. 748 views
Find all the solutions of x,for 0 is less than x is less than 2 pia. Sin(x + pi/4 + sin(x - pi/4)= -1 b. Sin(1/3 x+5) = 1/2
1. 1 answer
2. 421 views
Find all the angles between 0 degrees and 360 degrees which will satisf y the equation:5tan^2 y +5 tan y = 2 sec^2 y
1. 1 answer
2. 416 views
Given that tan A = 2 tan B (B is the symbol for Beta) show that tan (A-B) = sin 2B/3- cos2 Beta.
1. 1 answer
2. 475 views
solve the equation: 4 tan^2 x + 12 sec x +1 =0, for 0 degrees is less than or equal to x is less than or equal to 360 degrees.
1. 4 answers
2. 2,456 views
Find the coordinates of the center and the radius of a circle with and equation of:a. x^2 + 2root7x +7 + (Y-root 11)^2 =11 b.
1. 1 answer
2. 428 views
Find the coordiantes of the center and the radius of each circlea. (x+root5)^2 + y^2 -8y =9
1. 1 answer
2. 398 views
Write an equation for each circle if the coordiantes of the center and length of the radius area. center(-1,-5) radius = 2 units
1. 1 answer
2. 437 views
the diagonal VY of a cuboid =root(26.25)cm, the length of a side ZY = 4cm and the height of a sideUZ =25cm for the cuboid. Find
1. 1 answer
2. 465 views
a closed box of uniform thickness is made of wood 1cm thick. Its extenal dimensions are 6cm and 5 cm by 4 cm. Find thea. volume
1. 2 answers
2. 658 views
show that sin 2theta/1-cos 2 theta = cot theta
1. 3 answers
2. 1,502 views
Find the general solution for f(x) = 27 tan^2 x-9=0
1. 2 answers
2. 1,125 views
Solve the equation 6 cos x^2+sin x=4 if 0 is less than or equal to x is less than or equal to pi
1. 3 answers
2. 530 views
Hal walked from point A to point B due north east from a distance of 20m. He immediately changed direction and walked 50m from B
1. 2 answers
2. 1,066 views
two pieces of wire stretched from the top, M of a vertical pole to the points L and N on the horizontal ground. the angle of
1. 3 answers
2. 1,440 views
Find all the angles between 0 degrees and 360 degrees which satisfy the equationsa. 8 cos x sin x = sin x b. 5 tan^2 y + 5 tan y
1. 4 answers
2. 2,213 views
state the amplitude, period and phase shift of the function y = tan (2 theta- 180 degrees)
1. 2 answers
2. 557 views
state the amplitude, period and phase shift of the function y=tan (20-80 degrees)
1. 3 answers
2. 497 views
express 3 cos x -2 sin x in th eform R cos (x + a) and hence write down the maximum and minimum values of 3 cos x - 2 sin x.
1. 2 answers
2. 894 views
a ship travels 8km due north then 7km on a bearing of 070 degrees1. draw a diagram to represent the information 2. calculate the
1. 3 answers
2. 769 views
given triangle ABC with AB=7cm, BC=8cm and AC=9cm calculate1. the size of the largest angle 2. the area of the triangle
1. 4 answers
2. 2,456 views
the fundamental theorem of calculus,f(x)=∫(0,x) t^3+2t^2+2dt, and find f"(x). my answer was: f'(x)=x^3+x^2+2 f"(x)=x^4/4 +
1. 2 answers
2. 538 views
Given f"(x)=-8sin3x and f'(0)=-1 and f(0)=-6. Find f(pi/5).i got stuck with f(pi/f) f"(x)=-8sin3x f'(x)=8cos3x+c
1. 3 answers
2. 312 views
Given that the graph of f(x) passes through the point (2,5) and that the slope of its tangent line at (x, f(x))is 3x+5, what is
1. 4 answers
2. 3,700 views
A survey was conducted to measure the number of hours per week adults spend on homecomputers. In the survey, the number of hours
1. 4 answers
2. 1,698 views
Which of the following parts of speech is most often used with a noun to create a descriptive phrase?A. pronoun B. preposition
1. 5 answers
2. 455 views
what is the length of an equilateral triangle when the area is 45 meters square?
1. 2 answers
2. 720 views
6-3a/2=-6
1. 1 answer
2. 234 views
3n-1=5n-9
1. 1 answer
2. 246 views

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