What is the slope of a line that passes through points (8,4) and (5,3)
Answers
Answer:
1/3
Step-by-step explanation:
We can find the slope of a line by using
m = (y2-y1)/(x2-x1)
= (3-4)/(5-8)
= -1/-3
=1/3
Related Questions
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Tom and Philip were given the graph of a linear function and asked to find the slope. Tom says that the slope is 12while Philip says that the slope is 2. Which reason correctly justifies Tom's answer?
On each trial of an experiment, a subject is presented with a constant soft noise, which is interrupted at some unpredictable time by a noticeably louder sound. The time it takes for the subject to react to this louder sound is recorded. The following list contains the reaction times (in milliseconds) for the trials of this experiment: 296, 311, 202, 217, 231, 171, 241, 164, 257, 269, 175, 273, 285, 226, 261 Find 25th and 80th percentiles for these reaction times.
Find the distance between two points A (-2,-3) B (6,8)
(b) How many bacteria are there after t hours?
(c) How many bacteria are there after 40 minutes? (Round your answer to the nearest whole number.)
(d) Graph the population function and estimate the time for the population to reach 40,000. (Give your answer to the nearest tenth.)
Answers
Final answer:
This problem involves calculating a bacteria culture's exponential growth over time. After 4 hours, there are 230,400 bacteria; after t hours, the formula 900*2^(2t) can be used to find the population. After 40 minutes, there are approximately 2,165 bacteria. The population reaches 40,000 after about 4.4 hours.
Explanation:
This problem is an example of exponential growth, which can be described by the equation N = N0 * 2^(t/T), where N is the final population, N0 is the initial population, t is the time elapsed, and T is the doubling time.
- (a) After 4 hours (or 8 half-hours), the number of bacteria is 900 * 2^8 = 230400.
- (b) After t hours (or 2t half-hours), the number of bacteria is 900 * 2^(2t).
- (c) After 40 minutes (or 4/3 of a half-hour), the number of bacteria is 900 * 2^(4/3) = 2165, rounded to the nearest whole number.
- (d) To graph the population function, plot time (in half-hours) on the x-axis and population on the y-axis. To estimate the time for the population to reach 40000, find the value of t such that N = 40000 = 900 * 2^(2t). Using logarithms, we get t = (log2(40000/900)) / 2 = 4.4 hours, rounded to the nearest tenth.
Learn more about exponential growth
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Answers
let's not forget that when a relation is "even" f(-x) = f(x), or namely any negative of "x" yields the same result as any positive one.
if this relation is "even" and has (3 , 3), where x = 3, then if we were to plug f(-3) we should get a result or y-value of the same 3, giving us a point of (-3 , 3).
Answers
Answer:
y<13/2
Step-by-step explanation:
5y + 4 < 3y + 17
5y-3y<-4+17
2y<13
y<13/2
Answer:
y<6.5
Step-by-step explanation:
5y+4<3y+17
Subtract 3 from both sides
2y+4<17
Subtractc4 from both sides
2y<13
Divide both sides by 2
y<6.5
Answers
Answers
Answer with Step-by-step explanation:
We are given two input A and B
A AND B=
If A=0 and B=0 then
If A=0 and B=1 then
If A =1 and B=0 then
If A=1 and B=1 then
A OR B=A+B
If A=0 and B=0 then A+B=0+0=0
If A=0 and B=1 then A+B=0+1=1
If A =1 and B=0 then A+B=1+0=1
If A=1 and B=1 then A+B=1+1=1
If A=0 and B=1 or A=1 and B=0 then A AND B=0 but A OR B=1
This is the main difference A AND B and A OR B.
Answers
Answer: 6p
Explanation: The word "product" is a
keyword that tells us to use multiplication.
So your answer can be written as 6 · p or just 6p.
Don't write your answer as p6.
Even though it's technically correct, I would always put
the number before the variable as a matter of form.
Answer:
6p
Step-by-step explanation: