He will have 36 plants next year.
hope that helped! :)
A = l x w
so you know that the length is 3m longer than the width, so you could use a formula to represent that
w = l + 3
you then substitute the second equation into the first to solve for l
70 = l x (l +3)
70 = l^2 + 3l
you could then rearrange the formula and solve for l using the quadratic formula
0 = l^2 + 3l - 70
l = -3 +- (square root (3)^2 - 4(1)(70)) / 2(1)
l = -3 +- (square root 9 + 280) / 2
l = -3 +- (square root 289) / 2
l = -3 +- 17 / 2
then you solve for the two seperate roots
l = -3 + 17 /2
l = 14 / 2
l = 7
or
l = -3 - 17 / 2
l = -20 / 2
l = -10
since a length cannot be negative, this root is not viable. therefore l = 7
to solve for w you would use
w = l + 3
w = 7 + 3
w = 10
hope this helps! if you did not understand a step or concept please let me know!
Answer:
9,500 bottles.
Step-by-step explanation:
1 cubic meter = 1000000 milli liters
We can convert (2.85 cubic meter) to (milli liters) as
1 cubic meter = 1000000 milli liters
2.85 cubic meter = X milli liters
If we Cross multiply and find X, we have
X milli liters = [(2.85 cubic meter × 1000000 milli liters) ] / 1 cubic meter
X= 2850,000 milli liters
Then (2.85 cubic meter) will be equal to ( 2850,000 milli liters)
Capacity of the Bottle = 300 ml
Number of bottles that 300 ml capacity can be filled out of it =
(2850,000 milli liters) / (300 ml)
= 9,500 bottles.
Question:
A population of insects, in thousands, can be modeled using the function
, where t is time in months. Which statement best
describes the population of insects?
A. The population is decaying at a rate of 3% each month.
B. The population is decaying at a rate of 25% each month.
C. The population is growing at a rate of 75% each month.
D. The population is growing at a rate of 97% each month.
Answer:
A. The population is decaying at a rate of 3% each month.
Step-by-step explanation:
Given
Required
True statement about the function
From the options, we can see that we are to answer the question on the basis of decay and growing rates.
An exponential form is:
Compare to
If 
, then 
r represents growth rate
else, 
r represents decay rate
Since b < 0.97:
Answer:
17.3
Step-by-step explanation:
To solve this equation, you need to use the pythagorean theorem which is:
a= length
b= height
c= hypotenuse
First, substitute in your values for the equation:
Then, use the squares in the equation:
Then, subtract 100 from both sides to isolate b:
Finally, square root both sides to get your answer:
Then round to the nearest tenth which gives you 17.3.
