Answer:
D. 8
Step-by-step explanation:
32^(3/5) is the same as ![\sqrt[5]{32}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B32%7D)
^3.
= 2 because 2^5=32
2^3 = 8
Answer: 64°C
Step-by-step explanation:
Official all-time high temperature = 43°C
Official all-time low temperature = –21°C
The difference between the two temperatures will be calculated by subtracting the low temperature from the high temperature. This will be:
= 43°C - (-21°C)
= 43°C + 21°C
= 64°C
Step-by-step explanation:
Left hand side:
4 [sin⁶ θ + cos⁶ θ]
Rearrange:
4 [(sin² θ)³ + (cos² θ)³]
Factor the sum of cubes:
4 [(sin² θ + cos² θ) (sin⁴ θ − sin² θ cos² θ + cos⁴ θ)]
Pythagorean identity:
4 [sin⁴ θ − sin² θ cos² θ + cos⁴ θ]
Complete the square:
4 [sin⁴ θ + 2 sin² θ cos² θ + cos⁴ θ − 3 sin² θ cos² θ]
4 [(sin² θ + cos² θ)² − 3 sin² θ cos² θ]
Pythagorean identity:
4 [1 − 3 sin² θ cos² θ]
Rearrange:
4 − 12 sin² θ cos² θ
4 − 3 (2 sin θ cos θ)²
Double angle formula:
4 − 3 (sin (2θ))²
4 − 3 sin² (2θ)
Finally, apply Pythagorean identity and simplify:
4 − 3 (1 − cos² (2θ))
4 − 3 + 3 cos² (2θ)
1 + 3 cos² (2θ)
Answer:
3/80 person weight is 220
Step-by-step explanation:
Answer:
189 students have an email account.
Step-by-step explanation:
315 divided by 5 is 63, multiply that by three.
