Answer:
1436.76 m³
Step-by-step explanation:
Volume of sphere= 4/3 π r ³
V= 4/3(3.14)(7)³
V=4/3(3.14)(343)
V= 4310.26 / 3
V= 1436.76 m³
-2/3 is the simplified form of the expression -1/2 ÷ 3/4.
<h3>What is the simplified form of the given expression?</h3>
Given the expression in the question;
-1/2 ÷ 3/4
To divide by a fraction, multiply by its reciprocal.
-1/2 ÷ 3/4
Reciprocal of 3/4 is 4/3
Hence
-1/2 × 4/3
Next, we cancel out the common factor of 2
Factor out 2 from 4
-1/2 × 2(2)/3
-1/1 × 2/3
( -1 × 2 ) / ( 1 × 3 )
(-2) / (3)
-2/3
Therefore, the simplified form is -2/3
Learn how to solve more fraction problems here: brainly.com/question/1627825
#SPJ1
Answer:
option D
Step-by-step explanation:
Given,
half life of silicon-32 = 710 years
Present silicon-32, N₀ = 90 gm
silicon-32 after 600 years,N = ?
![k = \dfrac{-0.693}{t}](https://tex.z-dn.net/?f=k%20%3D%20%5Cdfrac%7B-0.693%7D%7Bt%7D)
![k = \dfrac{-0.693}{710}](https://tex.z-dn.net/?f=k%20%3D%20%5Cdfrac%7B-0.693%7D%7B710%7D)
k = -0.000976
Now,
![N = N_0 e^{kt}](https://tex.z-dn.net/?f=N%20%3D%20N_0%20e%5E%7Bkt%7D)
![N =90\times e^{-0.000976\times 600}](https://tex.z-dn.net/?f=N%20%3D90%5Ctimes%20e%5E%7B-0.000976%5Ctimes%20600%7D)
![N = 50.104\ g](https://tex.z-dn.net/?f=N%20%3D%2050.104%5C%20g)
Hence, the correct answer is option D.
Hey there,
Total distance = 7 / 10 x 4
= 2 4/5 miles
3 times = 2 4/5 x 3
= 8 2/5
1/2 times = 2 4/5 / 1/2
= 5 3 /5
8 2/5 + 5 3/5 = 14 miles
Hope this helps :))
~Top