Answer:
I think the answer is C - (x+2)^2+1
Answer:
B
Step-by-step explanation:
The inequality is
3x-5y>=10
You can substitute each of the choices in the inequality (on the left side) to see if the result is >=10.
A: 3(1)-5(4)=3-20=-17 not good.
B: 3(6)-5(-3)=18+15=33 good
Answer:
6/21
Step-by-step explanation:
1. First, check all the possible combinations for a pair of dice:
1-1
1-2 2-2
1-3 2-3 3-3
1-4 2-4 3-4 4-4
1-5 2-5 3-5 4-5 5-5
1-6 2-6 3-6 4-6 5-6 6-6
(Those are the numbers of the dice, separated by hyphons.)
2. Next, find out the products, since that is the info we need to go off of.
1
2 4
3 6 9
4 8 12 16
5 10 15 20 25
6 12 18 24 30 36
(those are all the products based on the same chart we saw above.)
3. Now, let's calculate the probability.
- Find the amount of prime numbers. (1, 2, 3, 5) Looks like there are four total.
- Find the amount of numbers that end in a five. (15, 25) There are two. I've skipped 5 because that is already on the list.
- Find the total amount of numbers. There are 21 in our case.
4. There are 6 numbers that will satisfy our needs. (prime or ending in 5)
There are 21 total.
6/21
If you need decimal form, there is a
0.2857 chance.
Hope this helped.
<h3>
Answer:</h3>
- using y = x, the error is about 0.1812
- using y = (x -π/4 +1)/√2, the error is about 0.02620
<h3>
Step-by-step explanation:</h3>
The actual value of sin(π/3) is (√3)/2 ≈ 0.86602540.
If the sine function is approximated by y=x (no error at x = 0), then the error at x=π/3 is ...
... x -sin(x) @ x=π/3
... π/3 -(√3)/2 ≈ 0.18117215 ≈ 0.1812
You know right away this is a bad approximation, because the approximate value is π/3 ≈ 1.04719755, a value greater than 1. The range of the sine function is [-1, 1] so there will be no values greater than 1.
___
If the sine function is approximated by y=(x+1-π/4)/√2 (no error at x=π/4), then the error at x=π/3 is ...
... (x+1-π/4)/√2 -sin(x) @ x=π/3
... (π/12 +1)/√2 -(√3)/2 ≈ 0.026201500 ≈ 0.02620
Answer:
Suppose that the batch has N liters of paint.
we know that the recipe is:
1/2 of red paint
1/3 of yellow paint
1/6 of white paint.
Then, out of the N liters, 1/2 is red.
This means that we must use:
N/2 liters of red paint.
And the same for the other two colors:
N/3 liters of yellow paint
N/6 liters of white paint.
When we add those 3, we have:
(N/2 + N/3 + N/6) = (3*N/6 + 2*N/6 + N/6) = N.
Now, if for example N = 2
Then the batch has 2 liters of paint, this would mean that we must use:
2/2 liters of red paint
2/3 liters of yellow paint
2/6 liters of white paint.
