The length of the line is the difference between the endpoints of the line
The length of each line to the nearest fourth inch is 0.25 inch
<h3>How to measure the length of each line</h3>
The length of the horizontal line is given as:
Length = 2 inches
This is calculated as:
Length = 3 inches - 1 inch
Length = 2 inches
8 lines are to be drawn between the 1 inch and 3 inches point.
So, the length (l) of each line is:
Simplify the fraction
Divide
Hence, the length of each line to the nearest fourth inch is 0.25 inch
Read more about line measurements at:
brainly.com/question/14366932
The exponential equation that gives the number of bees in week 12 is of:
<h3>What is an exponential function?</h3>
It is modeled by:
In which:
In this problem, considering that the initial week is the first, and the value triples every week, the expression for the number of bees after x weeks is given by:
Hence, after 12 weeks, the expression is:
More can be learned about exponential equations at brainly.com/question/25537936
Newton's Law of Cooling
Tf=Ts+(Ti-Ts)e^(-kt) where Tf is temp at time t, Ts is temp of surroundings, Ti is temp of object/fluid. So we need to find k first.
200=68+(210-68)e^(-10k)
132=142e^(-10k)
132/142=e^(-10k)
ln(132/142)=-10k
k=-ln(132/142)/10
k≈0.0073 so
T(t)=68+142e^(-0.0073t) so how long until it reaches 180°?
180=68+142e^(-0.0073t)
112=142e^(-0.0073t)
112/142=e^(-0.0073t)
ln(112/142)=-0.0073t
t= -ln(112/142)/(0.0073)
t≈32.51 minutes
Answer: it is 49 or -49
Step-by-step explanation:
if you divide 49 by 7 it comes out to seven because 7 times 7 is 49.
Exact answer: 165.5754
Rounded to the nearest dollar: 166
