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aksik [14]
3 years ago
10

What is the initial value of the exponential function represented by the table

Mathematics
1 answer:
rodikova [14]3 years ago
6 0
Correct answer should be 1/2
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Two cylinders are similar with a scale factor of 1:4. Which shows the ratio of the volumes of the cylinders?
Vladimir [108]
E. 3/12 is equivalent to 1/4, which is the ratio of the cylinders. 
3 0
3 years ago
Read 2 more answers
F(x)=2x+3/4x+5 find f(-9)<br><br>pls solve it ​
Marysya12 [62]

Answer:

15/31

Step-by-step explanation:

substitute -9 were there's x in the function

f(-9)=2(-9)+3/4(-9)+5

=-18+3/-36+5

=-15/-31

the negatives cancel giving you

15/31

4 0
3 years ago
The height of a tree in feet over x years is modeled by the function f(x). f(x)=301+29e−0.5x which statements are true about the
Karo-lina-s [1.5K]
Given this equation:

f(x)=301+29^{-0.5x}

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
<span>
<span>So, the tree is initially \boxed{302ft} 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<span>

</span>if x = 7 then:

f(7)=301+29e^{0.5(7)}=301ft

So, between the 5th and 7th years the height of the tree remains constant
:
\Delta=f(7)-f(5)=301-301=0ft

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} approaches zero.

Therefore this statement is also false.

Conclusion: After being planted this tree won't grow. 


4 0
3 years ago
Read 2 more answers
NEED HELP ASAP
joja [24]

Answer: 16517 dollars

Step-by-step explanation:

Given that x is the number of years after 2000.

In 2005, the number of years x = 4

Because the equation was modelled for 4 year college courses

The best estimate for the average cost of tuition in 2005 will be

ŷ = 937.98(4) + 12,764.90 

Y = 3751.92 + 12764.9

Y = 16516.82 dollars

Y = 16517 dollars

4 0
3 years ago
Where do i plot the points? Need help ASAP!
drek231 [11]

Answer:

Plot at (8,2)

Step-by-step explanation:

3 0
3 years ago
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