50 times 30 is 1500 and 9 times 8 is 72 added is 1572
<em>Question:</em>
<em>Daredevil Danny was cliff jumping. He jumped off a cliff that was 14.2 meters above the surface of the water. At the end of his jump, Danny was 2.3 meters below the surface of the water.
</em>
<em>The following equation describes this situation 14.2 + (-16,5) = -2.3
.</em>
<em>What does -16.5 tell us?</em>
<em></em>
Answer:
The displacement between his current position and his initial position
Step-by-step explanation:
Given
![Initial\ Position = 14.2m](https://tex.z-dn.net/?f=Initial%5C%20Position%20%3D%2014.2m)
![Final\ Position = -2.3m](https://tex.z-dn.net/?f=Final%5C%20Position%20%3D%20-2.3m)
![14.2 + (-16.5) = -2.3](https://tex.z-dn.net/?f=14.2%20%2B%20%28-16.5%29%20%3D%20-2.3)
Required
What does -16.5 represents?
<em>To understand this, we need to first calculate the displacement between his initial and final position</em>
<em></em>
![Displacement = Final\ Position - Initial\ Position](https://tex.z-dn.net/?f=Displacement%20%3D%20Final%5C%20Position%20-%20Initial%5C%20Position)
![Displacement = -2.3m - 14.2m](https://tex.z-dn.net/?f=Displacement%20%3D%20-2.3m%20-%2014.2m)
![Displacement = - 16.5m](https://tex.z-dn.net/?f=Displacement%20%3D%20-%2016.5m)
<em>So: -16.5m is the total displacement from the start position (i.e. off the cliff) and current position (beneath the water surface)</em>
Answer:
Step-by-step explanation:
90-66=?
Answer:
The measure of angle L is <u>70°</u>.
The trigonometric ratio that uses ∠M and LN to solve for NM is <u>tangent</u>.
The length of NM, to the nearest tenth, is approximately <u>57.7</u>.
Step-by-step explanation:
Answer:
![57.2\ g](https://tex.z-dn.net/?f=57.2%5C%20g)
Step-by-step explanation:
In this problem we have a exponential function of the form
![f(x)=a(b^x)](https://tex.z-dn.net/?f=f%28x%29%3Da%28b%5Ex%29)
where
f(x) is the remaining mass of the element in grams
x is the time in minutes
a is the initial value (y-intercept of the exponential function)
b is the base
r is the rate
![b=(1+r)](https://tex.z-dn.net/?f=b%3D%281%2Br%29)
In this problem we have
![a=210\ g](https://tex.z-dn.net/?f=a%3D210%5C%20g)
---> is negative because is a decay's rate
![b=(1-0.083)=0.917](https://tex.z-dn.net/?f=b%3D%281-0.083%29%3D0.917)
substitute
The exponential function is equal to
![f(x)=210(0.917^x)](https://tex.z-dn.net/?f=f%28x%29%3D210%280.917%5Ex%29)
For x=15 minutes
substitute in the function
![f(x)=210(0.917^{15})](https://tex.z-dn.net/?f=f%28x%29%3D210%280.917%5E%7B15%7D%29)
![f(x)=57.2\ g](https://tex.z-dn.net/?f=f%28x%29%3D57.2%5C%20g)