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WITCHER [35]
3 years ago
14

Between which pair of fractions is 5/8 on the number line

Mathematics
1 answer:
rewona [7]3 years ago
6 0
4/8 and 6/8 5/8 is right between those fractions.
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What is 2.475 as a fration in its lowest form?
Anon25 [30]
First you express it as a fraction so that would be 2475/1000 which can be simplified to 99/40






7 0
3 years ago
Read 2 more answers
What is the binomial expansion of (m + 2)4?
ankoles [38]

Answer:

m+2

Step-by-step explanation:

use the binomial expansion theorem to find and simplify each term  

4 0
3 years ago
The populations of termites and spiders in a certain house are growing exponentially. The house contains 120 termites the day yo
zysi [14]

Answer:

in order to triple the inicial population of spiders, will take 50395 days

Step-by-step explanation:

we can define the termite population function as T(t) and the one for spiders as S(t) , where t represents time measured in days

since both have and exponencial growth

T(t)= a*e^(b*t)

S(t)= c*e^(d*t)

1) when the day the person moves in , t=0 and T(0)= 120 termites

T(0) = a*e^(b*0) = a = 120

2) after 4 days , t=4 and  the house contains T(4) = 210 termites

T(4)= 120*e^(b*4) = 210 → 4*b = ln (210/120) → b = (1/4)* ln(210/120)= 0.14

therefore

T(t) = 120*e^(0.14*t)

3) 3 days after moving in , t=3, there were T(3) = 120*e^(0.14*3)=182.63≈ 182 termites . The number of spiders is half of the number of termites → S(3) = T(3) * 1 spider/ 2 termites  =91.31 spiders ≈ 91 spiders

4) after 8 days of moving in , t=8, there were T(8) = 120*e^(0.14*8)=367.78≈ 368 termites . The number of spiders is 0.25 times the number of termites → S(8) = T(8) * 1 spider/ 4 termites =91.94 spiders   ≈ 92 spiders

from

S(t)= c*e^(d*t) → d = ln [S (tb)/S (ta) ] / (tb-ta)

therefore d = ln [ S(8)/S(3) ] / (8 - 3 ) = 2.18*10^-5

in order to triple the initial population

S(t3) = 3 *S(0) = 3*[c*e^(d*0)] = 3*c

S(t3) = c*e^(d*t3) = 3* c → t3 = ln(3) / d = 50395 days

5 0
3 years ago
One estimate shows that the number of people without access to safe drinking water is about one billion. How much water is requi
gizmo_the_mogwai [7]

Answer:

Step-by-step explanation:

1 billion = 10^9

10^9 people * (10 Liters)/person = 10^10 Liters

3 0
2 years ago
SOMEONE HELP ASAP PLEASE
zavuch27 [327]
If the temperature drops, then you must have subtract amount of drop from initial temperature.
                       -12,3^o-6,8^o=-(12,3^o+6,8^o)=-19,1^o

The correct answer is the first one.
8 0
3 years ago
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