Answer: 5.2
Step-by-step explanation:
Answer:
3.6666666666667
Step-by-step explanation:
The mean is the sum of all the values divided by count of values
11 / 3 = 3.6666666666667 (mean)
Answer: The GCF of 5 and 40 is 5
Step-by-step explanation:
The greatest common factor (GCF) of two numbers is the largest number that divides both of them evenly. To find the GCF of 5 and 40, we can list the factors of each number and find their common factors.
The factors of 5 are 1 and 5. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.
To find the common factors, we can compare the factors of 5 and 40:
- Both 5 and 40 have 1 as a factor.
- However, 5 is not a factor of 40.
Therefore, the GCF of 5 and 40 is 1, as it is the largest number that divides both 5 and 40 evenly.
Another way to find the GCF is by using prime factorization. Let's find the prime factorization of 5 and 40:
- The prime factorization of 5 is 5.
- The prime factorization of 40 is 2 * 2 * 2 * 5.
To find the GCF, we take the common prime factors with the lowest exponents. In this case, the common prime factor is 5.
So, the GCF of 5 and 40 is 5.
The GCF of 5 and 40 is 5.
To find the GCF of 5 and 40, we can list the factors of each number and find the largest common factor.
Factors of 5: 1, 5
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
The common factors of 5 and 40 are 1 and 5. The largest common factor is 5.
Therefore, the GCF of 5 and 40 is 5.
Learn more about finding the greatest common factor (gcf) here:
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2. Expand the brackets and simplify:
a) X(2x + 3)
Answer:
2x^2 +3x
Step-by-step explanation:
X(2x + 3)
Distribute
2x*x + 3x
2x^2 +3x
3.16227766017
rounded it is 3
Using the quadratic equation h = -16t² + 264 which represents the object's height after time, we find that it will take 4 seconds for the object to reach 8 feet above the valley floor.
In this case, you're asked to find out how much time it takes for an object dropped from an observation deck to drop to a point 8 feet above the valley floor. The height h, in feet, after time t, in seconds, is represented by the quadratic equation h = -16t² + 264. Set the equation equal to desired height, which is 8 feet in this case. So, you have -16t² + 264 = 8. Rearranging, you get -16t² = 8 - 264, or -16t² = -256. Divide by -16 yields, t² = 16. The principal square root of 16 is t = 4.
Therefore, it will take 4 seconds for the object to be 8 feet above the valley floor.
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