C. x³ - x²
In word problems, there terms which indicate the mathematical operation that needs to be performed.
difference = refers to the answer in subtraction
triple a number or double a number refers to the number of times a number is multiplied by itself.
in triple a number = a number is multiplied by itself three times.
in double a number = a number is multiplied by itself two times.
It would initially look like this: (x * x * x) - (x * x); to simplify the expression, a number to be multiplied is written down and the number of times it will multiply by itself is noted on the upper right side of the number when we look at it.
Thus: x³ - x² is the correct expression that best describes the word problem above.
The number of three-digit positive integers that have three different digits and at least one prime digit are 7960.
The only two components in prime numbers are 1 and the number itself.
Any whole number greater than one is a prime number.
It has exactly two factors—1 and the actual number.
There is just one 2-digit even prime number.
Every pair of prime numbers is always a co-prime.
The product of prime numbers can be used to represent any number.
Three-digit positive integers that have three different digits and at least one prime digit = 3!*4!*10*9 = 7960
Learn more about prime numbers here:
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Answer:
B=58
Step-by-step explanation:
Complementary angles are angles where the sum equals 90°. So all you have to do is 90-32 and you get 58.
Answer:
Yes it is
Step-by-step explanation:
y=-9x means that for every x value, the y value decreases by 9, so it is proportional because the value of y decreases the same amount each time. For example, if x=1, y=-9. If x=5, y=-45, and so on.
Answer: 8/35 is the exact answer as a fraction; approximately that is equal to 0.22857 (rounded to 5 decimal places)
Work Shown:
The volume of this prism is equal to the length times width times height. We multiply the three fractions out. To do this, multiply straight across. The numerators group up and multiply. The denominators form a separate group to multiply.
Multiply the numbers up top (numerators): 2*3*4 = 6*4 = 24
Multiply the numbers in the bottom (denominators): 3*5*7 = 15*7 = 105
We end up with 24/105. We can divide both numbers by 3 to reduce the fraction (note how 3 is a factor of each multiplication above)
24/3 = 8
105/3 = 35
So that's how I got 8/35
If you want to convert to decimal form, then 8/35 = 0.22857 approximately.