Answer:
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Answer:
hcf=(1,605; 600) = 3 × 5
Step-by-step explanation:
Prime Factorization of a number: finding the prime numbers that multiply together to make that number.
1,605 = 3 × 5 × 107;
1,605 is not a prime, is a composite number;
600 = 23 × 3 × 52;
600 is not a prime, is a composite number;
* Positive integers that are only dividing by themselves and 1 are called prime numbers. A prime number has only two factors: 1 and itself.
* A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself.
Multiply all the common prime factors, by the lowest exponents (if any).
gcf, hcf, gcd (1,605; 600) = 3 × 5
gcf, hcf, gcd (1,605; 600) = 3 × 5 = 15;
The numbers have common prime factors.
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We are given that
points through which parabola is passing
(-1,1) and (1,-3)
so, we have
x1=-1 ,y1=1
x2=1 , y2=-3
we can find average rate of change by using formula
now, we can plug values
So, the average rate of change from -1 to 1 is -2...........Answer
Answer:
27.76 grams will be present in 500 years
Step-by-step explanation:
The given formula is , where A is the value of the substance in t years, and is the initial value
∵ The half-life is a substance is 375 years
- Substitute A by and t by 375 to find the value of k
∴
- Divide both sides by
∴
- Insert ㏑ in both sides
∴ ㏑( ) = ㏑ ( )
- Remember ㏑ ( ) = n
∵ ㏑ ( ) = 375 k
∴ ㏑( ) = 375 k
- Divide both sides by 375
∴ k ≈ -0.00185
∴
∵ 70 grams is present now
- That means the initial value is 70 grams
∴ = 70
∵ The time is 500 years
∴ t = 500
- Substitute the values of and t in the formula
∵
∴ A = 27.76
∴ 27.76 grams will be present in 500 years