The Greatest Common Factor of 24 and 42 is 6. A possible third number that would not change the GCF and is greater than 42 could be 48, as 6 still divides it exactly.
In mathematics, the question discusses finding the Greatest Common Factor (GCF) of two numbers, 24 and 42. The GCF is the highest number that divides exactly into both numbers. If you factorize 24 and 42, you find that the highest factor they share in common is 6. So, the GCF of 24 and 42 is 6.
Moving on, the third number that does not affect the GCF could be any number that is greater than 42 and has 6 as a factor. So, a possibility could be 48, because 48 is greater than 42, and the GCF of 6, 24, and 48 remains 6.
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B: 4.8 centimeters
C: 5.6 centimeters
D: 7.6 centimeters
If anyone could help me, that would be great! This is the only question I'm actually stuck on.
The height of glass 1 which in cylindrical in shape is 7.6centimeters. Since the total volume of water added by Celia is 100 cubiccentimeter, and the volume of glass 2 is 26.4 cubic centimeter which is aconical in shape. Subtracting the volume of glass 2 from the total volume glass1 can be calculated and its height.
Answer:
D: 7.6 centimeters
Step-by-step explanation:
x+y=-1
3x-2y=2
and
x=y-2
3x-4y=-13
The property for 5x2x4=2x5x4 is associative property.
Answer:
38
Step-by-step explanation:
Answer:
x f(x) g(x)
1 15 3
2 16 4
3 15 5
4 12 6
5 7 7
6 0 8
f(x) = g(x) when x = 5
Step-by-step explanation:
f(x) = -x² + 4x + 12
f(1) = -(1)² + 4(1) + 12 = 15
f(2) = -(2)² + 4(2) + 12 = 16
f(3) = -(3)² + 4(3) + 12 = 15
f(4) = -(4)² + 4(4) + 12 = 12
f(5) = -(5)² + 4(5) + 12 = 7
f(6) = -(6)² + 4(6) + 12 = 0
g(x) = x + 2
g(1) = 1 + 2 = 3
g(2) = 2 + 2 = 4
g(3) = 3 + 2 = 5
g(4) = 4 + 2 = 6
g(5) = 5 + 2 = 7
g(6) = 6 + 2 = 8
The solution to the equation f(x) = g(x), where f(x) = −x² + 4x + 12 and g(x) = x + 2, is x = 5. To find this, set the equations equal to each other, simplify, and then factor to solve for x.
To find the solution to the equation f(x) = g(x), we need to set the formulas given for each function equal to each other and then solve for x. We are given f(x) = −x² + 4x + 12 and g(x) = x + 2, so we write out the equation as follows:
−x² + 4x + 12 = x + 2
Now we need to solve this equation for x. First, let's simplify by gathering all terms to one side of the equation:
−x² + 4x - x + 12 - 2 = 0
This simplifies to −x² + 3x + 10 = 0
Next, we'll factor this quadratic equation to solve for x: -(x – 5)(x + 2) = 0.
Setting each factor equal to zero gives the solution: x = 5, x = -2. Looking back at the original options, only x = 5 is a viable option.
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Answer:
1,00000,00,00
Step-by-step explanation:
The digits 46987 can be arranged in 120 unique combinations using the permutation formula 5! (5 factorial), accounting for all possible orders of these digits.
While organizing the digits 46987, there are 120 unmistakable mixes conceivable. Still up in the air by ascertaining the factorial of the quantity of digits (5!), yielding 120. Every game plan brings about a remarkable mix. For instance, 46987, 78694, and 98746 are among the changed stages.
The idea of changes has expansive applications, going from arithmetic to software engineering, where request matters. In combinatorics, the investigation of counting and game plan, changes assume an essential part. These 120 mixes grandstand the adaptability of revamping only five digits.
Showing the dramatic development in potential outcomes as the quantity of digits increments. This numerical standard impacts fields like cryptography, where producing one of a kind successions is significant for security. Generally, the changes of 46987 outline the charming and strong parts of numerical control and request.
To learn more about Combinations, refer: