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Explain how you use prime factors to find the GCF of 45 and 75.
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The function f(t)=t^2+12t-18 represents a parabola. Part A: Rewrite the function in vertex form by completing the square. Show your work. Part B:Determine the vertex and indicate whether its a maximum or minimum on the graph. How do you know? Part C: Determine the axis of Symmetry
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63³-343 = 261801
Factor the following integer:
261'801
The sum of the digits of 261801 is 2 + 6 + 1 + 8 + 0 + 1 = 18, which is divisible by 9. This means 261801 is too.
261801 = 9×29089:
261801 = 9×29089
9 = 3^2:
261801 = 3^2×29089
Because 29089 is odd, only test odd numbers for divisibility.
29089 is not divisible by 3, 5, 7, 9, 11, 13, 15 or 17.
29089 = 19×1531 which means 29089 is divisible by 19:
261801 = 3^2×19×1531
3 is prime:
261801 = 3^2×19×1531
Because 19 is odd, only test odd numbers for divisibility.
19 is not divisible by 3.
Since 19 is not divisible by any integer up to 4, it is prime:
261801 = 3^2×19×1531
Because 1531 is odd, only test odd numbers for divisibility.
1531 is not divisible by 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37 or 39.
Since 1531 is not divisible by any integer up to 39, it is prime:
261801 = 3^2×19×1531
There are 2 copies of 3, 1 copy of 19 and 1 copy of 1531 in the product:
Answer: 261801 = 3^2×19×1531
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The nearest a thousand the 7298 as the number is closer to 7000, so 7000 is the nearest a thousand.
What is a thousand?
A thousand is equal to 10 multiplied by 100. It is either 1,000 or 1000 in number. A phrase (such as a thousand, which has the same meaning as 1,000) or another number, such as two thousand (2,000), ten thousand (10,000), or nine hundred ninety-nine thousand, nearly usually comes before the word a thousand (999,000). The figure that is depicted by a one and six zeros
A thousand intervals in which the number 7298 is lying is 7000 - 8000
Here, the number is 298 away from the 7000 and 702 from the 8000, which means the number 7298 is closer to the 7000,
Thus, the nearest thousand is 7000.
To know more about a thousand:
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You will need 5 poster boards for the entire project.
What is Ratio?
A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other
What are Arithmetic operations?
Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
W have been given that It takes 2 1/2 poster boards to display half of your project.
Here 2 1/2 poster boards = 2.5 poster board
Let you need poster boards would be x for your entire project
We can write this as a ratio as
2.5 poster board : 0.5 of project = x : 1 project
⇒ 2.5/0.5 = x/1
⇒ x = 25/5
⇒ x = 5
Therefore, you will need 5 poster boards for the entire project.
Learn more about the Ratio here:
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2.5 poster board 2 5 poster boards
---------------------- x --- = -------------------
0.5 of project 2 1 project
You need 5 poster boards for the entire project