Answer:
The solution is possible
Step-by-step explanation:
Given
Required
Is an output of 200, possible?
To know if it is possible or not, we start by substituting 200 for f(x)
Divide both sides by 5
Take logarithm of both sides
Apply law of logarithm
Divide both sides by log2
for f(x) = 200, x is approximately 5.32
Hence, the solution is possible
Answer:
625 unit²
Step-by-step explanation:
Surface area of a rectangular pyramid :
Area of base * 4(area of triangular side)
Area of base = length * width
Area of base = 15 * 15 = 225
Height of triangular side = 15
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 *15 * 15 = 112.5 unit²
Surface area = 225 + 4(112.5)
Surface Area = 225 + 450
Surface Area = 625 unit²
Answer:
The cost of 1 ruler and 1 pencil are $0.35 and $0.25 respectively,
Step-by-step explanation:
Let the cost of 1 ruler be x
Let the cost of 1 pencil be y
Cost of 4 rulers = 4x
Cost of 3 rulers = 3x
Cost of 3 pencils = 3y
Cost of 4 pencils = 4y
We are given that Four rulers and three pencils cost £2.15
4x+3y=2.15 ---- Black line
We are also given that Three rulers and four pencils cost £2.05
3x+4y=2.05 --- Red line
Plot the lines on the graph
Point of Intersection of lines is (0.35,0.25)
Cost of a ruler = $0.35
Cost of a pencil = $0.25
Hence The cost of 1 ruler and 1 pencil are $0.35 and $0.25 respectively,
