Patterns can be used to determine products of a number of a power of 10 by following it to obtain easily the answer. When you multiply a number by the power of 10 you just have to write the number then add the number of corresponding number of 0s to the end which will be the same number as the power used.
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311km/h = 86.389 m/s
<span>Initial KE </span>
<span>= 0.5 * 210 * 86.389^2 J </span>
<span>work done by force of ground </span>
<span>= F * 0.81 J </span>
<span>0.5 * 210 * 86.389^2 = 0.81 F </span>
<span>F = 967433.58 N </span>
<span>capsule's weight W= 210 * 9.81 = 2060.1 N </span>
<span>F = 469.6 times capsule weight ---answer</span>
A correlation coefficient is always a value in between -1 and 1
The closest a coefficient to -1, the correlation is a strong negative correlation
The closest a coefficient to 1, the correlation is a strong positive correlation
The closest a coefficient to 0, there is no correlation at all
The coefficient -0.61 shows a strong negative correlation
This means that the relationship between the age and the violation is an inverse relationship; as age increases, violation decreases
Answer: option C
Answer:

Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the length side KJ
In the right triangle JKM
Applying the Pythagoras Theorem

we have


substitute



simplify

step 2
Find the value of cosine of angle MJK in the right triangle JKM

substitute the values

simplify
-----> equation A
step 3
Find the value of cosine of angle MJK in the right triangle JKL

we have

----> remember equation A
substitute the values

Simplify

Answer:

Step-by-step explanation:
⟾Collect like terms
⟾Move the variable to the left
⟾Collect like terms again
⟾Divide both sides by -3
⟾ x = 45 ÷ 3
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