Answer:
question 19 = no solution because not enough information
question 20 = 18 for volume
Step-by-step explanation:
question 19:
cylinder formula
surface A =2πrh+2πr2
2π times 9 times 7 + 2π times 9 times 2
SA = 508.938009882
volume equals 395.840674352
question 20:
biggest one,
4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4
V=18 IS the volume
Answer:
Lateral area of cone=pi *r*l
where r is radius
l is slant hieght
and pi can be 22/7 or 3.14
Step-by-step explanation:
- therefore, lateral area= 3.14*6*10
- =31.4*6
- 188.6m^2
Answer:
Cups of chopped celery in original recipe = ![\frac{3}{4}\ cups](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%5C%20cups)
Step-by-step explanation:
Given that:
Trevor is making 2/3 of a recipe
Number of cups of chopped celery used = 1/2 cup
The following equation can be used to find the original number of cups of chopped celery used in recipe.
![\frac{2}{3}c=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7Dc%3D%5Cfrac%7B1%7D%7B2%7D)
Multiplying both sides by 3/2
![\frac{3}{2}*\frac{2}{3}c=\frac{1}{2}*\frac{3}{2}\\\\c= \frac{3}{4}\\](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%2A%5Cfrac%7B2%7D%7B3%7Dc%3D%5Cfrac%7B1%7D%7B2%7D%2A%5Cfrac%7B3%7D%7B2%7D%5C%5C%5C%5Cc%3D%20%5Cfrac%7B3%7D%7B4%7D%5C%5C)
Hence,
Cups of chopped celery in original recipe = ![\frac{3}{4}\ cups](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%5C%20cups)
12 x 2 - 19x - 18
3x + 2
24 - 19x - 18
3x + 2
6 - 19x
3x + 2
Evaluate each expression individually and then combine like terms:
5 log₄(x²) = 5
= 5
= 5
= 5 log₂x = log₂x⁵
4 log₂(x) = log₂(x)⁴ = log₂(x⁴)
**********************************************
log₂(2x + 1) - 5 log₄(x²) + 4 log₂(x)
= log₂(2x + 1) - log₂x⁵ + log₂(x⁴)
= log₂[(2x + 1)*(x⁴) ÷ x⁵]
= log₂![\frac{(2x+1)x^{4} }{x^{5}}](https://tex.z-dn.net/?f=%5Cfrac%7B%282x%2B1%29x%5E%7B4%7D%20%7D%7Bx%5E%7B5%7D%7D)
= log₂![\frac{2x+1 }{x}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%2B1%20%7D%7Bx%7D)