beginner 1
(9x7) + (4x16)
127
Round 3.478 to 2 decimal places.
3.48
factorize completely x2−9x+20
(x-4)(x-5)
Find the midpoint of the line joining(−2,5) and (4,−1)
(1,2)
what are the nature of the roots of x2+3x+7
Complex
The volume of a cuboid is 140cm3 and its height and width are 7 cm and 5cm respectively. Find its length
length= 4cm
A bag contains red, blue, and green marbles in the ratio 3 : 2 : 5.
If there are 20 marbles altogether, how many are blue?
4 blue marbles
x2+5x−14=0 , solve for x
x=-7 ,x=2
Find the surface area of a cube of side 6 cm.
216cm2
how would one determine the stationary points of f(x) and their nature.
find f'(x), solve/let it equal 0 and find for x
substitute the values of x into f(x) to find y
find f"(x) and plug in the values of x
if +ve: minimum if -ve: maximum
2x-5 =13-4x, find for x
x=3
Find the area of a triangle with base 10 cm and height 6 cm.
30cm2
Find the equation of the line with gradient −2 passing through (4,−1)
y=-2x + 7
A shirt marked $400 is sold at a 15% discount.
Find the selling price.
$340
What is the formula for the Sum to infinity of a Geometric series
Sinf = a / 1-r
The ratio of cats to dogs is 3 : 5.
If there are 15 cats, how many dogs are there?
25 dogs
53+62+39
200
The sum of two consecutive integers is 47.
Find the integers.
23 and 24
A rectangular tank measures 2 m by 1.5 m by 1 m.
Find the volume of water it can hold in litres.
3000litres
The Cosine of the angle between 2 perpendicular vectors is?
0
4a+b-3b+5a, simplify this
9a-2b
One angle of a triangle is 45° and another is 65°.
Find the third angle.
70 degrees
(34÷32)×3
27
a2= b2+c2-2bcCos(a)
log2(x) = 5