In this question, there are 10 digit phone number which was divided into 3-3-4 digits. Every first digit of the division should be 2-9 which mean only 8 possibilities. The other digits would be 0-9 which mean 10 possibilities. Then the calculation would be:
8*10*10 * 8*10*10 * 8*10*10*10 = 8^3 * 10*7= 512 * 10^7= 5.12 * 10^9
If you convert <span>400,000,000 into the scientific form it will become 4* 10^8. Since 5.12*10^9 > 4 * 10^8, then it is clear that the number should be enough</span>
Each side has own formula, so which side is X
Answer: He will have $1974 in April.
Step-by-step explanation:
Given : Total money he earned = $2200
He spent $50 per month gym membership, a $68 monthly phone plan $48 monthly gas plan and $60 monthly fun plan.
So , Money he has left = Money he earned - Total expenditure
= $ ( 2200- (50+68+48+60))
= $ (2200- 226)
= $ 1974
Hence, He will have $1974 in April.
Answer:
x=4 Inch
Step-by-step explanation:
Length of the Square = 24 Inches
If a Square of Length x cm is cut out from each corner
Length of the Box = 24-x-x=(24-2x) Inches
Width of the Box =24-x-x=(24-2x) Inches
Height of the box = x inches
Volume of a Cuboid = Length X Width X Height
V(x)= x(24-2x)(24-2x)
Simplifying
V(x)=4x(12-x)(12-x)
To determine the value of x at which V is largest, we take the derivative of V(x) and solve for the critical points.
V(x)=4x(12-x)(12-x)

Set the derivative equal to zero to obtain the critical points

x cannot be equal to 12 as it divides the length of the square cardboard into exactly two equal parts.
When x=4
V(4)=4*4(12-4)(12-4)=16*8*8=1024 Cubic Inches
When x=4 Inch, the volume, V of the open box is largest.
Answer:
Step-by-step explanation:
Let the number be x
4times a number =4x
The difference of four times a number and seven : 4x - 7
4x - 7 = 13
4x = 13 + 7
4x = 20
x = 20/4
x = 5