Answer:
dc/dx = 0 when x = 20. hence fence is 20×40
Step-by-step explanation:
Given data:
Rectangular Area = 800 ft^2
three side material cost = $5 per ft
fourth side material cost is $15 per ft
let expensive side is x and other dimension assume to be y
Then cost is c
c = 5(x+ 2y) + 15 x
xy = 800, so y = 800/x
c =5(x+ 1600/x^2) + 15x
for minimum when dc/dx = 0
(2x-40)(2x+40) = 0
x = 20
dc/dx = 0 when x = 20. hence fence is 20×40
Answer:
a. 400
b. 4$
Step-by-step explanation:
2$ equals 0 Quantity
3$ equals 100 Quantity
4$ equals 200 Quantity
We can see that starting from 2$, a dollar will increase the Quantity by 100
It’s the first option, 5 + c
Answer:
-3/8 > -1 indicates that -3/8 is to the right of -1 in the number line.
Step-by-step explanation:
Answer:
5
The least number 12500 need to be multiplied by to make it a perfect square is 5.
Corrected question;
By which least number should 12500 be multiplied to make them perfect squares
Step-by-step explanation:
Perfect squares are squares of whole numbers.
Like 4,9,16 etc.
For 12500, we need to first of all reduce it to its Lowest factors.
12500 = 2×2×5×5×5×5×5
Grouping the factors into pairs of thesame factors.
12500 = (2×2) × (5×5) × (5×5) × 5
Looking at the pairs of factors, we can observe that the last factor 5 need to be paired to make the number a perfect square.
So, when the number is multiplied by 5;
12500 × 5 = (2×2) × (5×5) × (5×5) × (5×5)
62500 = (2×2) × (5×5) × (5×5) × (5×5)
62500 = (2×5×5×5)^2 = 250^2
Hence, 62500 is a perfect square.
The least number 12500 need to be multiplied by to make it a perfect square is 5.
