Answer:
a) 0
b) 4.5
c) 3
d) 6
Step-by-step explanation:
Formula: 3x + 4y = 12
The questions contains the values of x. So here's an example of:
d) x = -4, y = ?
Using the formula: 3(-4) + 4y = 12
-12 + 4y = 12
4y = 24
y = 6
Do the same for the others!
Using the De Moivre's Theorem, let us work out for the fourth roots of 81(cos 320° + i sin 320° ).
zⁿ = rⁿ (cos nθ + i sin nθ)
z⁴ = 81(cos 320° + i sin 320° )
z = ∜[81(cos 320° + i sin 320° )]
= ∜[3^4 (cos 4*80° + i sin 4*80°)]
= 3(cos 80° + i sin 80°)
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We use unitary method over here. To find out the number pages he writes in 1 hour we should;
16÷8 = 2.
So Brennan writes 2 pages in 1 hour.
Hence, in 10 hours he writes;
2 × 10 = 20.
∴ in ten hours Brennan writes 20 pages.
Answer:
Cost increases to $330.
The percent increase here would be:
= (New price - Old price )/ Old price
= (330 - 250) / 250
= 0.32
= 32%
Cost increases to $330 and charges $50 baggage fee
= (New price - Old price )/ Old price
= (330 + 50 - 250) / 250
= 0.52
= 52%
Answer:

Step-by-step explanation:
The surface area of a rectangular prism is given by the formula;

From the diagram;
The length is
.
The width is
.
The height is
.
Substitute these values into the formula to obtain;



