4*d^(-3)*d^18 = 4*d^(18-3) = 4*d^(15). The trick here is to combine the exponents.
Another way to write this problem would be:
4*d^18
---------- . Here d^18 divided by d^3 results in d^15, so again the final
d^3 answer is 4*d^15.
Answer:
X < 9
Step-by-step explanation:
Add 1 to both sides
3 > x/3
multiply by 3 to get x by itself
9 > x
or
x < 9
Answer:
Option C and Option D have exactly one solution.
Step-by-step explanation:
The equation will have exactly one solution when it completely solves and we get value of x.
Checking all choices
(Choice A)
-19x + 18 = -19x + 18
-19x+19x=18-18
0=0
(infinite solutions)
(Choice B)
-19x -18 = -19x + 18
-19x+19x=18+18
0≠36
(no solution)
(Choice C)
19x + 18 = -19x + 18
19x+19x=18-18
38x=0
x=0
(One solution)
(Choice D)
19x - 18 = -19x + 18
19x+19x=18+18
38x=36
x=36/38
x=18/19
(One solution)
So, Option C and Option D have exactly one solution.
Answer:
The area of the tablecloth showing is approximately 45.55 square feet
Step-by-step explanation:
The diameter of the dinner table, D = 8 feet
The diameter of each plate, d = 1 feet
The number of people at the dinner table = 6 people
The number of plates = 6 plates
The area of the table cloth, A₁ = π·D²/4
∴ A₁ = π × 8²/4
The area covered by the 6 plates, A₂ = 6·π·d²/4
A₂ = 6 × π × 1²/4
Let 'A' represent the area of the tablecloth showing when the table is set for six people, we have;
A = A₁ - A₂
∴ A = π × 8²/4 - 6 × π × 1²/4 ≈ 45.55 ft.²
The area of the tablecloth showing when the table is set for six people, A ≈ 45.55 ft.²
