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Annette [7]
3 years ago
7

What is the slope of the line passing through the points (1, −5) and (4, 1)? −45 54 2 −2

Mathematics
2 answers:
olga_2 [115]3 years ago
6 0

Answer:

Slope of the line passing through the points (1, −5) and (4, 1) is 2 .

Step-by-step explanation:

The equation of the slope is given by

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

As given

line passing through the points (1, −5) and (4, 1) .

m = \frac{1-(-5)}{4-1}

m = \frac{1+5}{4-1}

m = \frac{6}{3}

m = 2

Therefore the slope of the line passing through the points (1, −5) and (4, 1) is 2 .

aliya0001 [1]3 years ago
6 0
Slope=m=(y2-y1)/(x2-x1)
m=(1-(-5))/(4-1)
m=(1+5)/(3)
m=6/3
Slope=m=2
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The population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t. After 3 hours
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Answer:

The number of bacteria at initial = 187

Step-by-step explanation:

Given that the population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t.

\frac{dN}{dt} = k N

\frac{dN}{N}  = k dt

Integrating both side we get

㏑ N = k t + C ------- (1)

Now given that after 3 hours it is observed that 500 bacteria are present and after 10 hours 5000 bacteria are present.

⇒ ㏑ 500 = 3 k + C -------- (2)

⇒ ㏑ 5000 = 10 k + C ------ (3)

⇒ ㏑ 5000 -  ㏑ 500 = 7 k

⇒ ㏑\frac{5000}{500} = 7 k

⇒  ㏑ 10 = 7 k

⇒ k = 0.329

Put this value of k in equation (2),

⇒ ㏑ 500 = 3 × 0.329 + C

⇒ C = 5.23

Put this value of C in equation 1 we get,

⇒ ㏑ N = k t + 5.23

Initially when t = 0 , then

⇒ ㏑ N = 5.23

⇒ N =  187

Thus the number of bacteria at initial = 187

8 0
3 years ago
Cole has 12.4 meters of string how many feet of string is this
34kurt
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1.The sum of two times a number and 8 is 10. What is the number?<br> A.1<br> B.2<br> C.18<br> D.9
Soloha48 [4]
Answer is Choice A - 1.
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2 years ago
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2 years ago
For a sale, a store decreases its prices on all items 20%. An item that cost $120 before the sale now costs $120 - 0.2($120). Wh
tino4ka555 [31]
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4 0
3 years ago
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