To simplify the square root of 40, first notice that 40 is not a perfect square. We can start by setting up a factor tree. 40 factors as 2 times 20. 20 factors as 2 times 10 and 10 factors as 2 times 5. There is a pair of two's so this means that a two can come out of the radical. The 2 and the 5 do not match up so they will stay inside the radical. If you multiply them together you will make 10.
Therefore, the square root of 40 simplifies to 2 root 10.
Image provided.
The numerical expression √40 in the simplified form will be 2√10.
Given that:
Number, n = √40
Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
It is a method for dividing a number into pieces that will be multiplied together.
The factors of the number 40 are calculated as,
40 = 2 x 2 x 2 x 5
40 = 2² x 10
The expression is simplified as,
√40 = √(2² x 10)
√40 = √(2)² x √10
The square root is canceled out by a square. Then the numerical expression is written as,
√40 = √(2)² x √10
√40 = 2 x √10
√40 = 2√10
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Answer:
The probability is 1/30 or 0.0333
Step-by-step explanation:
For calculating the probability we need to make a division between the number of ways in which the first boy born is named Sam and the second boy born is named Mark and the total number of ways in which the couple can name their children.
To calculate the total number of ways in which the couple can name their children, we can use the rule of multiplication as:
6 * 5 = 30
First boy Born 2nd Boy Born
Because we have 6 options for the name of the first boy and 5 options for the name of the second boy.
Additionally, In just one option from this 30, the first boy is named Sam and the second is named Mark.
So, the probability is calculate as the division between 1 and 30 as:
The probability that the first boy born will be named Sam and the second boy born will be named Mark is 1/15.
To find the probability that the first boy born will be named Sam and the second boy born will be named Mark, we need to determine the total number of possible outcomes and the number of favorable outcomes.
There are a total of 6 names to choose from and the couple needs to choose 2 names without repetition. So, the total number of possible outcomes is given by the combination formula C(6,2) which evaluates to 15.
Out of these 15 possible outcomes, there is only 1 favorable outcome where the first boy is named Sam and the second boy is named Mark.
Therefore, the probability that the first boy born will be named Sam and the second boy born will be named Mark is 1/15.
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Answer:
the slope is 11/3
so distance is 130 or 11.4 in decimal form
Answer:
Exact distance =
Approximate distance = 11.40175
Explanation:
We'll use the distance formula
Answer:
the correct answer is B.
Step-by-step explanation:
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y = -2x - 8
y-intercept =