Answer:
-7/4
1/8
Step-by-step explanation:
1. If the problem is; (1 3/4) / (1/2 - 1 1/2)^(3)
<u>(a). Convert to improper fractions;</u>
(7/4) / (1/2 - 3/2)^3
<u>(b). Simplify;</u>
(7/4) / (-2/2)^3
(7/4) / (-1)^3
(7/4) / (-1)
-7/4
2. If the problem is; ((1 3/4) / (1/2)) - (1 1/2)^3
<u>(a). Convert to improper fractions;</u>
((7/4)/ (1/2)) - (3/2)^3
<u>(b). Simplify;</u>
((7/4)/ (1/2)) - (3/2)^3
((7/4)*(2/1)) - (27/8)
(7/2) - (27/8)
(28/8) - (27/8)
1/8
Answer:
325 miles to the nearest mile.
Step-by-step explanation:
Average gasoline consumption over the 5 weeks
= miles travelled / gasoline used
= (198 + 115 + 154 + 160 + 132) / (9 + 5 + 7 + 8 + 6)
= 21.69 miles per gallon.
Estimate of number of miles you can drive on 15 gallons
= 15 * 21.69
= 325 miles.
Given:
.
To find:
The value of
, rounding to the nearest thousandth.
Solution:
We know that,

On substituting
, we get


Therefore, the value of
is 0.646.
Answer:
The probability of the pointer landing on yellow is equal to the probability of the pointer landing on red
Answer:

Step-by-step explanation:
Given;
(a) y = tan (7t)
let u = 7t
y = tan(u)
du/dt = 7
dy/du = sec²(u)

(b)

let u = 4 - v²
du/dv = -2v
let v = 4 + v²
dv/du = 2v
