Answer:
7) 10^(3/2)
8) 2^(1/6)
9) 2^(5/4)
10) 5^(5/4)
Step-by-step explanation:
7) (√10)^3 = 10^(3/2)
8) 6 root 2 = 2^(1/6)
9) (4 root 2)^5 = 2^(5/4)
10) (4 root 5)^5 = 5^(5/4)
The answer is 4 because there r three 3 2s
Answer:

Step-by-step explanation:
The equation for photon energy is given by:

Where:

This equation telling us that the higher the frequency of the photon, the greater its energy. And the longer the photon wavelength, the lower its energy.
So, replacing the data provided in the previous equation:

Answer:
<em>The actual width of the hair is 20 / 150 = 0.13 mm</em>
Step-by-step explanation:
<u>Scaling</u>
Objects can be represented in a reduced or augmented size by using scaling which is basically multiplying or dividing by a constant factor. We use scaling in several applications of real-life.
The human hair is magnified 150 times by a micro-phtograph. This is the scale factor.
The hair can be seen 2 cm wide in the photograph.
Converting to millimeters, 2 cm = 2*10 = 20 millimeters.
The actual width of the hair is 20 / 150 = 0.13 mm
Answer:
the probability of getting exactly 2 fours is 0.16
Step-by-step explanation:
The probability of obtaining a number that is four = ¹/₆
The probability of obtaining a non 4 number = 1 - ¹/₆ = ⁵/₆
The number of ways 2 fours can be arrange in five numbers = ⁵C₂ = 10 ways
If the die is tossed five times, the probability of the events is calculated as;
P = 10 x (¹/₆)² x (⁵/₆)³
P = 10 x (¹/₃₆) x (¹²⁵/₂₁₆)
P = 10 x 0.02778 x 0.5787
P = 0.16
Therefore, the probability of getting exactly 2 fours is 0.16