Answer:
Step-by-step explanation:
<u>80 g rock displaces water:</u>
- 75 ml - 30 ml = 45 ml = 45 cm³
<u>Density = mass / volume:</u>
- d = 80 g / 45 cm³
- d = 1.78 g/cm³ (rounded)
No image shown but just remember that percentage is out of 100
0.03 is 3%
Answer:
1) 
; 2) 
Step-by-step explanation:
1) Using the Power of a Fraction Rule 
,
, which can just be simplified to .
2) Using the Negative Exponent Rule, 
,
, which can be simplified to .
Answer:
a=-1
Step-by-step explanation:
a(n) = -6+3(n-1)
a(n) = -6+3n-3
a(n) -n=-6+3n-n-3
a=-6+3-3
+3 +3
a3=-3
---- ----
3 3
a=-1
Step-by-step explanation:
let's look at the full numbers under the square roots when bringing the external factors back in :
sqrt(9×9×2) - sqrt(3×3×7) + sqrt(8) - sqrt(28)
and let's present these numbers as the product of their basic prime factors
sqrt(3×3×3×3×2) - sqrt(3×3×7) + sqrt(2×2×2) - sqrt(2×2×7)
now we see that we have 2 pairs of square roots : 1 pair ends with a factor of 2, and one pair with a factor of 7.
let's combine these
sqrt (3×3×3×3×2) + sqrt(2×2×2) - sqrt(3×3×7) - sqrt (2×2×7)
and now we move the factors of 2 and 7 back out in front (of course, we need to apply the square root on these factors) :
9×sqrt(2) + 2×sqrt(2) - 3×sqrt(7) - 2×sqrt(7) =
= (9+2)×sqrt(2) - (3+2)×sqrt(7) = 11×sqrt(2) - 5×sqrt(7)
and that is the first answer option.
