Answer:
£48
Step-by-step explanation:
Area of walls = area of four rectangular walls + area of two triangular shape at front and back
Area of a rectangular wall = l *w = 8 * 4 = 32 m²
Area of 4 rectangular walls = 4 *32 = 128 m²
Triangle:
Base = 6m
height = h = 7 - 4 = 3 m
Area of triangle = (1/2)*b*h

Area of 2 triangles = 2*9 = 18 m²
Area of four walls = 128 + 18 = 146 m²
Number of paint tins required = 146 ÷ 25 = 5.84 = 6
6 tins are required.
Cost of 6 tins = 8 * 6 = £48
Answer:
Here we just want to find the Taylor series for f(x) = ln(x), centered at the value of a (which we do not know).
Remember that the general Taylor expansion is:

for our function we have:
f'(x) = 1/x
f''(x) = -1/x^2
f'''(x) = (1/2)*(1/x^3)
this is enough, now just let's write the series:

This is the Taylor series to 3rd degree, you just need to change the value of a for the required value.
Answer:
3x + 70 − 7x ≥ 18
Step 1: Simplify both sides of the inequality.
−4x + 70 ≥ 18
Step 2: Subtract 70 from both sides.
−4x + 70 − 70 ≥ 18 − 70
−4x ≥ −52
Step 3: Divide both sides by -4.
−4x
/−4 ≥ −52
/−4
x ≤ 13
A slope of 1/2 means for every two units to the right we move up one.
We have to be careful here because the graphs don't always use the same scale for x and y.
The bottom left uses the same scale and does indeed go two units to the right for every unit up, so that one is the answer.
Answer: c = 1.59 * a
Step-by-step explanation:
You got the answer correct.