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lozanna [386]
2 years ago
14

Can some one please help me

Mathematics
1 answer:
UNO [17]2 years ago
3 0

Answer: The answer is 5.

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Dr. Steve is working with a new radioactive substance in his lab. He currently has 64 grams of the substance and knows that it d
4vir4ik [10]
Remember that the general decay equation is:
y=A(1-r)^{x}
where 
y is the amount after a time x
A is the initial amount 
r is the the decay percent in decimal form

The first ting we are going to do is find r by dividing our <span>decay rate of 25% by 100%: </span>r= \frac{25}{100} =0.25.
We also know from our problem that y=64. Lets replace y and r in our formula:
64=A(1-0.25)^{x}
64=A(0.75)^{x}
We know now that our decay rate is 0.75, and since 0.75<1, we can conclude that this situation represents exponential decay.

Now, to find the initial amount, we are going to solve our equation for A:
64=A(0.75)^{x}
A= \frac{64}{0.75 ^{x} }
Notice that A will depend on the number of ours x. <span />
4 0
3 years ago
Read 2 more answers
the sum of total amount of money is distributed equally to some girl If there has been five girls less than each of them get Rs.
Arturiano [62]

Step-by-step explanation:

Let the sum of rupee be x

no of boys be y

then each boy get x/y

now if the no of boys increased by 10 each boy get x/(y+10) = (x/y)-1 => x/(y+10) = (x-y)/y .........(1)

now case 2nd if no of boys decrease by 15 each boy get x/(y-15)= (x/y) +3 => x/(y-15) = (x+3y)/y ...........(2)

7 0
3 years ago
the area of a square whose sides have length x cm is increasing at the rate of 12cm²/s. how fast is the length of a side increas
katovenus [111]

Answer:

0.67 cm/s

Step-by-step explanation:

The area of a square is given by :

A=x^2 ....(1)

Where

x is the side of a square

\dfrac{dA}{dt}=12\ cm^2/s

Differentiating equation (1) wrt t.

\dfrac{dA}{dt}=2x\times \dfrac{dx}{dt}

When A = 81cm²​, the side of the square, x = 9 cm

Put all the values,

12=2\times 9\times \dfrac{dx}{dt}\\\\\dfrac{dx}{dt}=\dfrac{2}{3}\\\\\dfrac{dx}{dt}=0.67\ cm/s

So, the length of the side of a square is changing at the rate of 0.67 cm/s.

4 0
2 years ago
Henry’s age is 10 years less than 4 times Paul’s age. If the sum of their ages is equal to 25 years, find the age of each boy.
Mazyrski [523]

Answer:

Henry is 18 and Paul is 7

Step-by-step explanation:

I figured it out in my head.

6 0
3 years ago
Read 2 more answers
What value is equivalent to <br><br>​
kotykmax [81]

Answer:

D

Step-by-step explanation:

2^3 equals 8, and 3^4 equals 81. 81 times 8 equals 648.

6 0
2 years ago
Read 2 more answers
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