Answer:
0.92
Step-by-step explanation:
Answer:
D. Minimum at (3, 7)
Step-by-step explanation:
We can add and subtract the square of half the x-coefficient:
y = x^2 -6x +(-6/2)^2 +16 -(-6/2)^2
y = (x -3)^2 +7 . . . . . simplify to vertex form
Comparing this to the vertex for for vertex (h, k) ...
y = (x -h)^2 +k
We find the vertex to be ...
(3, 7) . . . . vertex
The coefficient of x^2 is positive (+1), so the parabola opens upward and the vertex is a minimum.
Cot x = cos x / sin x
cot π/4 = cot 45° = cos 45° / sin 45°
We know that sin 45° and sin 45° have the same value:
cos 45° = sin 45° = √2 / 2;
cos 45° / sin 45° = √2/2 : √2/2 = 1
Answer:
cot π/4 = 1
Answer:
11
Step-by-step explanation:
for this question we can look at the whole answer for the square root of 120 which equals 10.9544511501

now looking at our answer (10.9544511501) we want to find the nearest WHOLE NUMBER. in the current answer the whole number is 10, followed by many decimals.
10.9544511501
but to find the nearest whole number we have to round the place value BEFORE our whole number. (in this case the 9)
10.9544511501
we can now look at this highlighted section of our equation and think... is 10.9 closer to 11 or 10. well logically, to get to 11 from 10.9 we only have to go up by 0.1, rather than to get to 10, where you have to subtract 0.9.
10.9 + 0.1 = 11
10.9 - 0.9 = 10
But to make it easier, remember the rule:
the place value one place to the RIGHT of what you're rounding to, is what determines the new number. (in this case the .9)
and as any number 5 or above rounds up, we can say that our new number, rounded to the nearest whole number equals 11
10.9 rounded to the nearest whole number = 11
Answer: 1 in 18
This is the same as writing the fraction 1/18
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Explanation:
Since she has 36 marbles total, and the probability of picking green is 1 in 2, this means (1/2)*36 = 18 marbles are green.
Then she also has (1/3)*36 = 12 red marbles and (1/9)*36 = 4 blue marbles.
So far, that accounts for 18+12+4 = 34 marbles in all. That leaves 36-4 = 2 marbles left over that must be black, as it's the only color left.
From that, the probability of choosing a black marble is 2/36 = 1/18.
There's a 1 in 18 chance of Maddy picking a black marble.
1/18 = 0.0556 = 5.56% approximately