Answer:
Step-by-step explanation:
(5^3/2)^-2/3 = 0.2 ⇒ E
(256^0.5)^1.25 = 32 ⇒ C
(81^1/6)^3/2 = 3 ⇒ F
(1024^0.03)^20 = 64 ⇒ D
(1000^4/7)^7/3 = 10,000 ⇒ B
(49^5/2)^0.2 = 7 ⇒ A
Step-by-step explanation:
* Lets explain how to solve the problem
- If we have base x to a power n and all to the power of m then we
multiply the two powers to be one power on the base
- [(x^n)^m] = x^(nm)
* Lets solve the problem
∵
∴ (5^3/2)^-2/3 = 0.2 ⇒ E
∵
∵ 256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2^8
∴
∴ (256^0.5)^1.25 = 32 ⇒ C
∵
∵ 81 = 3 × 3 × 3 × 3 = 3^4
∴
∴ (81^1/6)^3/2 = 3 ⇒ F (answer F must be 3 not 0.333)
∵
∵ 1024 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2^10
∴
∴ (1024^0.03)^20 = 64 ⇒ D
∵
∵ 1000 = 10 × 10 × 10 = 10³
∴
∴ (1000^4/7)^7/3 = 10,000 ⇒ B
∵
∴ (49^5/2)^0.2 = 7 ⇒ A
Answer:
Step-by-step explanation:
So, volume is always cubed since you have l x w x h.
A cubic ft is 12 in x 12 in x 12 in = 1728 in3. If we assumed that the aquarium has a volume of around 35328.78 in squared. Hence,
35328.78/1728 = 20.44
20.44 x 7.48 = 152.89
About 153 gallons
Noted that the water was used at the rate of 56 gallons per minute.
56 gallons -------- 1 minute
153 gallons --------- x minute (s)
56gallon × Xminutes = 153 gallons × 1 minute
X = 153/56
X = 2.7321 minutes
Hence, it will take 2.7321 minutes to drain the tower
Yolanda only wins if the cup lands upright.
From the experimental data we see that the probability of winning is 5 out of 50, or 10%. Therefore, if Yolanda plays 10 times she can expect to win 10% of 10 times = 1 time. She will lose 9 times.
Answer:
i think B if not sorry
Step-by-step explanation:
