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There are 7 more boys than girls in a class of 25.how many girls are in the class?
Which one of the following is the set of solutions of Sin(3x) + Cos(3x) =0 on the interval ( - pie + pie)?
1.(-5pie/ 12, -pie/12, pie/4, 7pie/12)
2.(-pie/4, -pie/12, pie/4, 7pie/12,11pie/12)
3.(-3pie/4, -5pie/12, - pie/12, pie/4, 7pie/12, 11pie/12)
4.None of the preceding.
Use Cramer's rule to solve the unknown of the system: x + 2y =2 - z,3x - 6y = 2 - 2x,2x =8 + z
i.x =2, y=1/3, z=-2
ii.x =-3,y =2, z=-1/2
iii.x =4,y =-1/2, z =-3
iv.x =3, y =1/2, z=-2
Roko paid $12.50 for 25 game tickets.Louisa paid $17.50 for 35 game tickets.What is the constant of proportionality?
The concentration of pollutants , in grams per liter, in the river Buriganga is approximated by P(x) = .04e−4x, where x is the number of miles downstream from a tannery industry that the measurement is taken. Find each of the following: • P(0.5), P(1) • The concentration of pollutants 2 mi downstream • the number of miles downstream where the concentration of pollutants is .002g per liter.
Assessment
Solve the following.
1. The perimeter of a rectangle is 24 cm. Express the area of the rectangle in terms of the width x.
2. The area of a rectangle is 85 cm. Express the perimeter of the rectangle as a function of the width x.
3. A piece of wire y cm long is bent into a circle. Express the area of the circle as a function of the circumference y.
4. Express the length of the radius of a circle as a function of the
5. Express the length of the diameter of a circle as a function of the circumference.
6.The perimeter of a rectangle is 50 centimeters. Express its area A as a function of the length x.
7. A wire of length x is bent into the shape of a square. Express the area of the square as a function of x.
ASSESSMENT
Relate the variables as functions in the following statements.
1. The amount of postage placed on a first-class letter depends on the weight of the letter.
2. The temperature of a cup of coffee depends on how long it has been cooling.
3. The height which a football attains depends upon the number of seconds after it was kicked.
4. The number of pages read is related to the time one started reading.
5. The time of sunrise or sunset is related to the time of the year.
If z = 2 ( cos 2¥/3 + isin 2¥/3 ), then z^3=
i. 2 - i8√3
ii. -4 + i4√3
iii.-8-i√2
iv. -8 - i4
Simplify (√5+1)÷(√5-1)
the locus of the complex number z such that Iz+3I = Iz-1I is?
A. A line
B. A circle
C. A quadratic curve
An ellipse
