Answer:
Step-by-step explanation:
The absolute value of an integer is the distance that separates the number from the zero position "0", that is, the absolute value of an integer is the natural number that results from suppressing its sign.
In other words, the absolute value of a real number a, written |a|, is the same number a when it is positive or zero, and opposite of a, if a is negative.
In this case IxI>= 3 means that 
This is translated as, since the absolute value of x represents the distance from zero, the solutions to this inequality are those numbers whose distances from zero are greater than or equal to 3, that is, that x is greater than or equal to 3 or x is less than or equal to -3.
Step-by-step explanation:
1/5^(3+6)= 1/5^9
the solution
Answer:
3, 4, 5
Step-by-step explanation:
3² + 4² = 5²
=> 9 + 16 = 25
=> 25 = 25
Answer:
The final answer is NO, i.e. He does not have at least 500 cans.
Step-by-step explanation:
He organizes the cans in 6-by-8 arrays.
The number of elements in the array can be found by finding the multiplication of its Rows numbers with its Columns numbers.
Given the array is of order 6-by-8. So the elements in the array = 6x8 = 48 elements.
And he has 10 of these arrays. So total cans = 48 x 10 = 480 cans.
Hence, the final answer is NO, i.e. He does not have at least 500 cans.
Answer:
81 times the original size
Step-by-step explanation:
AA0ktA=3A0=?=?=25hours=A0ekt
Substitute the values in the formula.
3A0=A0ek⋅25
Solve for k. Divide each side by A0.
3A0A0=e25k
Take the natural log of each side.
ln3=lne25k
Use the power property.
ln3=25klne
Simplify.
ln3=25k
Divide each side by 25.
ln325=k
Approximate the answer.
k≈0.044
We use this rate of growth to predict the number of bacteria there will be in 100 hours.
AA0ktA=3A0=?=ln325=100hours=A0ekt
Substitute in the values.
A=A0eln325⋅100
Evaluate.
A=81A0
At this rate of growth, we can expect the population to be 81 times as large as the original population.
