Answer:
No Change
Step-by-step explanation:
If you add all of the numbers, you get 32. When you divide it by how many numbers there were, you get 4. When you add 4 to 32, you get 36 and since you added one more number, you need to divide 36 by 9, which still makes 4.
Answer:
x = 90°
Step-by-step explanation:
Using the identity
cos²x = 1 - sin²x
Given
cos²x - sin x + 1 = 0
1 - sin²x - sin x + 1 = 0
- sin²x - sin x + 2 = 0 ← quadratic equation in sin x ( multiply through by - 1 )
sin²x + sin x - 2 = 0 ← in standard form
(sinx + 2)(sinx - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
sinx + 2 = 0 ⇒ sinx = - 2 ← has no solution as - 1 ≤ x ≤ 1
sinx - 1 = 0 ⇒ sinx = 1 ⇒ x = 90°
solution is x = 90°
Answer:
Yes, any set is a subset of itself.
Step-by-step explanation:
N/A
9514 1404 393
Answer:
D, B
Step-by-step explanation:
Price per pound is found by dividing dollars by pounds.
Store A: $9/(3 lb) = $3.00 /lb
Store B: $9.75/(3 lb) = $3.25 /lb
Store C: $12.40/(4 lb) = $3.10 /lb
Store D: $14.50/(5 lb) = $2.90 /lb
<u>Part A</u>: The lowest price per pound is $2.90 per pound at store D.
<u>Part B</u>: The highest price per pound is $3.25 per pound at store B.
Assuming they work until their cost become the same, obviously.
The difference between the first charge of painter A and painter B = 376 - 280 = 96.
The hourly cost difference between painter B and painter A = 15 - 12 = 3.
So, painter A in the first hour has 96 more dollars than painter B, and as every hour pass, the difference goes down by 3 (as painter B gets 3 more dollars every hour)
Therefore, it would take 96 : 3 = 32 hours for the cost to be the same
Recheck : After 32 hours, painter A has 376 + 32 x 12 = 760 (dollars)
painter B has : 280 + 15 x 32 = 760 (dollars)