Answer:
a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression
Step-by-step explanation:
A tip would be to watch a video on exponents and pemdas, they can be really helpful!
Hope this helps!
Answer:
12 mathletes is needed to solve 30 problems in 5 minutes
Step-by-step explanation:
8 athletes can solve 20 problems in 10 minutes
30-20=10
now we need 10 more problems to be solved so
20/2=10. 8/2=4 so we need more 4 mathletes to solve all the problems
(a) 4
(b) y = sqrt(9 - (9/16)x^2)
The best guess to the formula using knowledge of the general formula for an ellipse is:
x^2/16 + y^2/9 = 1
(a). An ellipse is reflectively symmetrical across both the major and minor axis. So if you can get the area of the ellipse in a quadrant, then multiplying that area by 4 would give the total area of the ellipse. So the factor of 4 is correct.
(b). The general equation for an ellipse is not suitable for a general function since it returns 2 y values for every x value. But if we restrict ourselves to just the positive value of a square root, that problem is easy to solve. So let's do so:
x^2/16 + y^2/9 = 1
x^2/16 + y^2/9 - 1 = 0
x^2/16 - 1 = - y^2/9
-(9/16)x^2 + 9 = y^2
9 - (9/16)x^2 = y^2
sqrt(9 - (9/16)x^2) = y
y = sqrt(9 - (9/16)x^2)
Answer:
Step-by-step explanation:
The given number is 
We need to write this number in standard form.
Any no is given in the standard form is given by :
Where
a and b is real no and integer
It means,
Hence, this is the required solution.
Step-by-step explanation:
The area of a circle is given by :
A = πr²
r is the radius of the circle
(4) Diameter = 22 cm
Since, radius = diameter/2
r = 11 cm
Now, area of the circle,
(5) Diameter = 30 cm
Since, radius = diameter/2
r = 15 cm
Now, area of the circle,
(6) Diameter = 4cm
Since, radius = diameter/2
r = 2 cm
Now, area of the circle,
So, the area of circles 4,5 and 6 are 380.13², 706.85² and 12.56² respectively.
