1. You'd divide 98,000,000 by 750,000 and get about 131 trees per acre ("population" density).
2. 131 trees/acre x 750,000 = 98,250,000trees.
Then 292,000,000 divided by98,250,000, which is 2.9 Round up to 3 boxes/tree.
Hope I helped. Hope this makes sense.
The length of the dilated line segment is 80 units.
<h3>What is
dilation?</h3>
Dilation is the increase or decrease in the size of a figure or object.
The segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5 to get (8, 32) and (56, 96).
The distance between points (8, 32) and (56, 96) is:
![Distance = \sqrt{(96-32)^2+(56-8)^2} =80\ units](https://tex.z-dn.net/?f=Distance%20%3D%20%5Csqrt%7B%2896-32%29%5E2%2B%2856-8%29%5E2%7D%20%3D80%5C%20units)
The length of the dilated line segment is 80 units.
Find out more on dilation at: brainly.com/question/10253650
Answer:
y = 10852 bacteria
Step-by-step explanation:
The equation is exponential growth
y = a b^x where a is the initial amount , b is the growth rate and x is the time
At time 0, we have 5000 bacteria
5000 = a * b^0
5000 = a *1
a = 1
At 4 hours, we have 6000 bacteria
6000 = 5000 * b^4
Divide each side by 5000
6000/5000 = b^4
6/5 = b^4
Take the 4th root of each side
(6/5)^(1/4) = (b^4)^(1/4)
1.046635139 = b
Our equation is
y = 5000 (1.046635139) ^ x
We want to find the number of bacteria present after 17 hours
y = 5000 (1.046635139)^17
y=10851.51313
To the nearest whole number
y = 10852 bacteria
Answer:
<h2>not exist</h2>
Step-by-step explanation:
![\lim\limits_{x\to0}\dfrac{1+3x}{x}\\\\\lim\limits_{x\to0^+}\dfrac{1+3x}{x}=\dfrac{1+(3)(0)}{(+)}=\dfrac{1}{(+)}=+\infty\\\\\lim\limits_{x\to0^-}\dfrac{1+3x}{x}=\dfrac{1+(3)(0)}{(-)}=\dfrac{1}{(-)}=-\infty](https://tex.z-dn.net/?f=%5Clim%5Climits_%7Bx%5Cto0%7D%5Cdfrac%7B1%2B3x%7D%7Bx%7D%5C%5C%5C%5C%5Clim%5Climits_%7Bx%5Cto0%5E%2B%7D%5Cdfrac%7B1%2B3x%7D%7Bx%7D%3D%5Cdfrac%7B1%2B%283%29%280%29%7D%7B%28%2B%29%7D%3D%5Cdfrac%7B1%7D%7B%28%2B%29%7D%3D%2B%5Cinfty%5C%5C%5C%5C%5Clim%5Climits_%7Bx%5Cto0%5E-%7D%5Cdfrac%7B1%2B3x%7D%7Bx%7D%3D%5Cdfrac%7B1%2B%283%29%280%29%7D%7B%28-%29%7D%3D%5Cdfrac%7B1%7D%7B%28-%29%7D%3D-%5Cinfty)
To find how much time the machine that took the longer job is, you would create an equation in terms of X, the amount of time it takes one of the machines.
Please see the attached picture for the work.
51 minutes is the longer time.
34 minutes for the other machine.