<h2>
Answer:</h2>
The answer is 16.
<h2>
Step-by-step explanation:</h2>
Since the 8x is positive, the equation must have y as a positive number.
Let's see this!
An easy way to complete the square if you have the constants for x2 and
But not the non-variable number is to divide the x constant, and then square it.
Example:

The last number must be 16. Let's check it.

Answer:
He will have $276.10 available towards the down payment for his motorcycle
Step-by-step explanation:
The compound interest formula is given by:

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.
In this problem, we have that:

Compounded quarterly, so n = 12/4 = 3.
We have to find A.



He will have $276.10 available towards the down payment for his motorcycle
Answer:
x =
25
/(1 − sin(y
)) and y ≠
π/2 +2πn
Step-by-step explanation:
Let's solve and simplify for x,
(x − 25
)/ x = sin(y)
Let's multiply both sides by x
((x − 25
)/x) *x= sin(y)*x
Then,
x − 25 = sin(y) * x
Let's add 25 to both sides
x − 25 + 25 = sin(y) * x + 25
If simplify again,
x = sin(y) * x + 25
Then we need subtract sin y x from both sides
x − sin(y) * x = sin (y)* x + 25 − sin (y)* x
It will equal:
x − sin (y)* x = 25
Factor x−sin(y) x: x(1−sin(y) ), then we get:
x (1 − sin(y)) = 25
Finally we need divide both sides by 1 − sin(y) ; y ≠π
/2
+ 2πn
And it will give us this equation:
x =
25
/(1 − sin(y
)) and y ≠
π/2 +2πn
Answer:
<u>The result is 3 1/2 and this is the explanation why Diego must convert 4 1/5 from mixed number to improper fraction.</u>
Step-by-step explanation:
These are the steps Diego should follow to find 4 1/5 - 7/10:
Step 1: Convert all mixed numbers into improper fractions.
4 1/5 = 21/5 - 7/10
Step 2: Find a common denominator between the improper fractions. When necessary, create equivalent fractions.
21/5 = 42/10 - 7/10
Step 3: Add or subtract the numerators and keep the denominator the same.
42 - 7 = 35/10
Step 4: If the answer is an improper form, reduce the fraction into a mixed number.
35/10 = 3 5/10 = 3 1/2
<u>The result is 3 1/2 and this is the explanation why Diego must convert 4 1/5 from mixed number to improper fraction.</u>
The probability that a part picked from this batch at random is either red or L-shaped is 0.68
Step-by-step explanation:
Let us revise some rules of probability
The addition rules are:
- P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen at the same time)
- P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they have at least one outcome in common)
∵ A batch has 100 parts
∵ 40 are red
- Probability of an event is the [even occurs/total outcomes]
∴ P(red) = 
∵ 50 are L-shaped
∴ P(L-shaped) = 
∵ 22 are both red and L-shaped
∴ P(red and L-shaped) = 
This is non-mutually exclusive because there is a common between them, so we will use the 2nd rule
∵ P(red or L-shaped) = P(red) + P(L-shaped) - P(red and L-shaped)
∴ P(red or L-shaped) = 0.4 + 0.5 - 0.22
∴ P(red or L-shaped) = 0.68
The probability that a part picked from this batch at random is either red or L-shaped is 0.68
Learn more:
You can learn more about the probability in brainly.com/question/2254182
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