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Jobisdone [24]
3 years ago
14

Find a real number between 7 3/5 and 7 4/5

Mathematics
1 answer:
Sladkaya [172]3 years ago
4 0
7 3/5 = 38/5 = 380/10;

7 4/5 = 39/5 = 390/10;

A real number between 380/10 and 390/10 is 385/10 = 77/2;
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The half life of silicone-32 is 710 years. If 30 grams is present now, how much will be present in 300 years?
Irina18 [472]

Answer:

22.38 g of silicone-32 will be present in 300 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

                                           N(t)=N_0(\frac{1}{2})^{\frac{t}{t_{1/2}}

where,

N(t) = quantity of the substance remaining

N_0 = initial quantity of the substance

t = time elapsed

t_{1/2} = half life of the substance

From the information given we know:

  • The initial quantity of silicone-32 is 30 g.
  • The time elapsed is 300 years.
  • The half life of silicone-32 is 710 years.

So, to find the quantity of silicone-32 remaining we apply the above equation

N(t)=30\left(\frac{1}{2}\right)^{\frac{300}{710}}=30\left(\frac{1}{2}\right)^{\frac{30}{71}}\approx22.38 \:g

22.38 g of silicone-32 will be present in 300 years.

7 0
3 years ago
1. Find the phase shift of the function y = 5cos(2x + pi/2).
kolezko [41]

Answer:

see explanation

Step-by-step explanation:

1

The cosine function in standard form is

y = acos(bx + c)

where a is the amplitude, period = \frac{2\pi }{b} and

phase shift = - \frac{c}{b}

here b = 2 and c = \frac{\pi }{2}, thus

phase shift = - \frac{\frac{\pi }{2} }{2} = - \frac{\pi }{4}

2

the amplitude = | a |

which has a maximum of a and a minimum of - a

y = 4cosx ← has a maximum value of 4

5 0
3 years ago
Find 4 consecutive intergers such that the sum of the secound and forth is 34
ankoles [38]
Consecutive integers are 1 aparrt
they are
x,x+1,x+2,x+3

the 2nd and 4th sum is x+1 and x+3
sum is 34
x+1+x+3=34
2x+4=34
minus 4
2x=30
divide 2
x=15

x+1=16
x+2=17
x+3=18

the numbers are 15,16,17,18
4 0
3 years ago
Which of these numbers is between 1 and 3/4 ?<br><br>PLEASE HELP
Elanso [62]
Since I don't see attachment, I guess the solution will be as follows:

1 & 3/4 , since 1 = 4/4, then it could be rewritten :


4/4 & 3/4, hence between these 2 fraction there is 2/4 or 1/2.
5 0
3 years ago
PLZ HELP find the value of x in each of the following x/3-2=6 and x/5+1=5
Aleks [24]
The first one is X = 24 & the second one is x= 20
8 0
3 years ago
Read 2 more answers
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