Answer:
-25
Step-by-step explanation: the negative/ opposite of 25 is -25
Given this equation:
![f(x)=301+29^{-0.5x}](https://tex.z-dn.net/?f=f%28x%29%3D301%2B29%5E%7B-0.5x%7D)
That represents t<span>he height of a tree in feet over (x) years. Let's analyze each statement according to figure 1 that shows the graph of this equation.
</span>
The tree's maximum height is limited to 30 ft.
As shown in figure below, the tree is not limited, so this statement is false.
<span>
The tree is initially 2 ft tall
The tree was planted in x = 0, so evaluating the function for this value, we have:
</span>
![f(0)=301+29^{-0.5(0)}=301+1=302ft](https://tex.z-dn.net/?f=f%280%29%3D301%2B29%5E%7B-0.5%280%29%7D%3D301%2B1%3D302ft)
<span>
<span>So, the tree is initially
![\boxed{302ft}](https://tex.z-dn.net/?f=%5Cboxed%7B302ft%7D)
tall.
</span>
Therefore this statement is false.
</span>
Between the 5th and 7th years, the tree grows approximately 7 ft.
<span>
if x = 5 then:
</span>
![f(5)=301+29^{-0.5(5)}=301ft](https://tex.z-dn.net/?f=f%285%29%3D301%2B29%5E%7B-0.5%285%29%7D%3D301ft)
<span>
</span>if x = 7 then:
![f(7)=301+29e^{0.5(7)}=301ft](https://tex.z-dn.net/?f=f%287%29%3D301%2B29e%5E%7B0.5%287%29%7D%3D301ft)
So, between the 5th and 7th years the height of the tree remains constant
:
![\Delta=f(7)-f(5)=301-301=0ft](https://tex.z-dn.net/?f=%5CDelta%3Df%287%29-f%285%29%3D301-301%3D0ft)
This is also a false statement.
<span>
After growing 15 ft, the tree's rate of growth decreases.</span>
It is reasonable to think that the height of this tree finally will be 301ft. Why? well, if x grows without bound, then the term
![29^{-\infty}](https://tex.z-dn.net/?f=29%5E%7B-%5Cinfty%7D)
approaches zero.
Therefore this statement is also false.
Conclusion: After being planted this tree won't grow.
Answer:
C. The coin falls down with an average speed of 44.1 meters per second from 3 seconds to 6 seconds.
Step-by-step explanation:
If t=3 or t=6 take the 3 and replace it for t. d(3)= 4.9(3)^2= 44.1 so with that answered you can now narrow the answer down to A. and C. so if we go back to the question the coin was dropped from the top of a building that then narrows it down to C.
Answer:
2000 newspaper readers
Step-by-step explanation:
Let the total number did newspaper readers the local news paper has be represented by x
Therefore,
4% of x = 80 people
Hence,
4/100 × x = 80
4x/100 = 80
Cross Multiply
4x = 100 × 80
4x = 8000
x = 8000/4
x = 2000 people
Therefore, the number of people the newspaper has is 2000 newspaper readers
Chef Diana bought (10-1/2 + 5-1/2) = 16 pounds of meat, and used 13-2/3 pounds in the loaf. She has (16 - 13-2/3) = 2-1/3 pounds of meat left ... just right to take home and make a nice meatloaf for her family.