A triangle has two sides of length 6 and 9. What could the length of the third side be? Check all that apply, A. 10
B. 7
C.4
D.2
E.15
F.12
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In a right triangle, angle C measures 40. the hypotenuse of the triangle is 10 inches long. what is the approximate length of the side adjacent to angle C
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First you have to find the probability of a pulling a penny
To find this you put the amount of pennies over the amount of coins
There are 12 coins and 5 pennies
This is a 5/12 probability
Next you have to find the probability of then pulling out a quarter
Since you already took out a coin the total amount is now 11
The probability is 4/11
You multiply the two probabilities together to get the probability of them happening one after antoher
5/12 * 4/11 = 5/33
The answer is D)5/33
Hope this helps!
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The product of the given expression (x − 3)^2 would be equal to x^2 - 6x + 9.
What is a solution for a quadratic equation?
Suppose that we've a function y = f(x) such that f(x) is quadratic.
When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0
This solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.
Example: For x² + 5x + 6 = 0, the solutions are x = -3, and x = -2.
The graph of y = x² + 5x + 6 will intersect the x-axis at x= -3 and x=-2 (and those are the only intersection it will do on x-axis).
The given expression is
Learn more about solutions of a quadratic equation here:
#SPJ2
Answer:
x2 − 6x + 9
Step-by-step explanation:
Took a test and got it right
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Step-by-step explanation:
These are all examples of p-series:
∑(1 / nᵖ), where p>0.
If p > 1, the series converges. If 0 < p ≤ 1, the series diverges.
First option:
∑(1/n⁵)
Here, p = 5. Since 5 > 1, the series converges.
Second option:
∑((√n+3)/n³)
∑((√n)/n³) + ∑(3/n³)
∑(1/n^2.5) + 3 ∑(1/n³)
In the first sum, p = 2.5. In the second sum, p = 3. Both are greater than 1, so the series converges.
Third option:
∑((n−4)/(n⁴√n))
∑(1/(n³√n)) − ∑(4/(n⁴√n))
∑(1/n^3.5) − 4 ∑(1/n^4.5)
In the first sum, p = 3.5. In the second sum, p = 4.5. Both are greater than 1, so the series converges.
Fourth option:
∑(1/∛n)
∑(1/n^⅓)
Here, p = ⅓. This is less than 1, so the series diverges.
Note: if a series is converging, then the limit is 0.
However, if the limit of a series is 0, it does not necessarily mean that series is converging.
Here, the limit of all 4 options is 0. However, the fourth option is a diverging series.
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Answer: 1 should be the answer
1Step-by-step explanation:
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