Answer:
6 ft
Step-by-step explanation:
The building height of 100 ft is 4 times the shadow length of 25 ft. At the same ratio, the person's height is 4 times the 1.5 ft shadow length, so is ...
4 × (1.5 ft) = 6.0 ft
The person is 6 ft tall.
The tensile strength of spider silk is about 1150 MPa, which is 1.15 x 10^9 N/m².
<span>So given that the diameter of the spider silk is 0.15 mm or 1.5 x 10^-4 m. The cross sectional area is approximately: </span>
<span>A = πr² = (3.14)(1.5 x 10^-4 / 2)² = 1.767 x 10^-8 m² </span>
<span>So this means that the amount of force we can apply before the the silk thread is broken is: </span>
<span>F = PA = (1.15 x 10^9)(1.767 x 10^-8) = 20.32 N </span>
<span>F = mg, so m = F/g = (20.32)/(9.81) = 2.07 kg!!! </span>
Answer:
a. $3150
b. $3307.50, $3472.875
c. B(n) = 3000(1.05)^t
Step-by-step explanation:
just a disclaimer i havent done interest in a while so this might not be right
also im assuming this is compound interest
a. P = original amount; r = interest percentage, x = amount of total money
x = P(1 + (r/100)) = 3000(1 + 0.05) = 3150
b. x = 3000(1.05)^2,3 = 3307.5, 3472.875
c. B(n) = P(1+(r/100)^t for t in years. plug in the values to get B(n) = 3000(1.05)^t
Okay, the number above the sigma(4) indicates what value you go to, and what's below the sigma tells you where to start, and the stuff on the right is the expression you're using.
So we start with 1 and go to 4, adding all the values in between.
(2(1))^2 + (2(2))^2 + (2(3))^2 + (2(4))^2
2^2 + 4^2 + 6^2 + 8^2
4 + 16 + 36 + 64
120
It sounds like D) technology is the best fit here.
Technology is used to help provide people with the things they need, for example clean water.
