I need help with 4,5,6

Answer ASAP for five stars and brainliest!

allochka39001 [22]

Part 1:

Given that the <span>half-life of a radioactive kind of antimony is 60 days. The amount of substance left of a radioactive substance with a half life of </span> $t_{ \frac{1}{2} }$ after time t, is given by:

$N(t)=N_0\left( \frac{1}{2} \right)^{ \frac{t}{t_{ \frac{1}{2} }} }$

where: $N_0$ is the original amount of the substance.

Thus, in 240 days, the amount that will be left of the antimony given that the original amount of the antimony is 960 grams is given by:

$N(t)=960\left( \frac{1}{2} \right)^{ \frac{240}{60} } \\ \\ =960\left( \frac{1}{2} \right)^4=960\left( \frac{1}{16} \right) \\ \\ =60\ grams$

Part 2:

Given that the half-life of a radioactive kind of tellurium is 70 minutes. The amount of substance left of a radioactive substance with a half life of $t_{ \frac{1}{2} }$ after time t, is given by:

$N(t)=N_0\left( \frac{1}{2} \right)^{ \frac{t}{t_{ \frac{1}{2} }} }$

where: $N_0$ is the original amount of the substance.

Thus, in 280 minutes, the amount that will be left of the tellurium given that the original amount of the antimony is 480 grams is given by:

$N(t)=480\left( \frac{1}{2} \right)^{ \frac{280}{70} } \\ \\ =480\left( \frac{1}{2} \right)^4=480\left( \frac{1}{16} \right) \\ \\ =30\ grams$

Part 3:

Given that a town's population is currently 10,000. If the population of the town doubles every 38 years, than in 76 years from now, the population of the town must have doubled twice, thus in 76 years from now, the population of the town is given by:

$10000(2)^2=10,000(4)=40,000$

7 0

3 years ago

Can someone please help

Nezavi [6.7K]

The areas of the smaller pieces are 8, 20, 40, and 100. So to find the area we need to add them together, so the area is 168 cm2

4 0

4 years ago

What is used when graphing an inequality that uses one of these two symbols: ≤, ≥ ?

Elodia [21]

Since <span>using ≤, ≥</span>, it means that the lines are included, the line is graphed as a solid line. When you have plain > or <, the line is not included, so you use a dashed line.

3 0

4 years ago

In a given population, a few individuals may, by random chance, leave behind more descendants than other individuals. Thus, the

Reika [66]

Answer: it is called genetic drift

Step-by-step explanation:

To explain this it is important to know the meanings of some concepts like allelles which is one of two or more alternative forms of a gene that arise by mutation and are found at the same place on a chromosome. So in other words the concept that the paragraph is referring is about the descendancy that can be traced by these alleles.

In other words, the paragrapgh states that some individuals when having more children leave more genetic load in subsequent generations and this subsequent load is illustratin in part what is called genetic drift which is many times a random effect on biological populations. Its effect is to remove genetic variation from a population of living organisms. In natural populations there are a number of forces acting. There are forces which add heritable variation to the population, such as mutation and recombination.

5 0

3 years ago

X= 16 - 4x 3x + 4y= 8 using the system of linear equations by substitution. Help asap please

7nadin3 [17]

Answer:

x = 4.31 and y = -1.23 (to the nearest hundredth).

Step-by-step explanation:

y = 16 - 4x

3x + 4y = 8

Substitute y = 16 - 4x in the second equation:-

3x + 4(16 - 4x) = 8

3x + 64 - 16x = 8

-13x = 8 - 64 = -56

x = -56 / -1 3 = 4.308

Plugging this value into the first equation:-

y = 16 - 4(4.308)

= -1.23

3 0

3 years ago