Answer:
0
Step-by-step explanation:
j(x) = -2 (3/2)^x
j(0) = -2(3/2)^0
-2(0)
=0
I did that equation on the side and I got 442, I hope this helps
Answer:
18ft wide and 33 ft long
Step-by-step explanation:
We are told in the question that:
Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 35 ft long.
The Area of the carpeting she must have = 594 ft²
To solve for this, we have:
Length × Width = Area of a rectangle
594ft² = Length × Width
594ft² = (20 - x) (35 - x)
594 = 700 - 20x - 35x + x²
594 = 700 - 55x + x²
Collect like terms
x² - 55x + 700 - 594
x² - 55x + 106
We factorise
x² - 2x - 53x + 106
(x² - 2x) -(53x + 106)
x(x - 2) -53(x - 2)
(x - 2)(x - 53)
x - 2 = 0, x = 2
x - 53 = 0, x = 53
We choose the least value for x
Hence, x = 2
Length = 20 - 2 = 18ft
Width = 35 - 2 = 33ft
The dimensions the rug should have is 18ft by 33ft, meaning 18ft wide and 33 ft long
Hi i don’t really know the answer but i just wanted to say good luck on ur exams and you will do great!!
Answer/Step-by-step explanation:
a. Volume of hemisphere = ½(⁴/3πr³)
r = 30 cm
Volume = ½(⁴/3 × π × 30³)
Volume = ⅔ × π × 27,000 = 56,548.6677 ≈ 56,549 cm³
b. 4,500 cm³ = 1 min
56,549 cm³ = (56,549 × 1)/4,500
= 12.5664444 ≈ 12.6 mins
