Susan Sound predicts that students will learn most effectively with a constant background sound, as opposed to an unpredictable

Response:

C

Detailed explanation:

I would choose option c as the spinner has a chance to land on any area at any moment. I wish I could provide a definitive answer.

Answer:

6.79 miles

Step-by-step explanation:

Consider triangle ABC where A marks the starting point and C indicates the end point.

|AB|=5.2 miles

|BC|=3.0 miles

∠ABC = 90 + 75 = 165°

We're given two side lengths and an angle that is not opposite to either side.

The approach to resolve this scenario is known as the Cosine Rule.

Each side opposite an angle is designated by the corresponding lowercase letter.

The Cosine Rule asserts that:

b² = a² + c² - 2acCosB

|AC|²=3² + 5.2² - (2 × 5.2 × Cos 165°)

|AC|²=9 + 27.04 + 10.05

|AC|²=46.09

|AC|=√46.09=6.79 miles

Thus, the straight-line distance from A to C measures 6.79 miles

Response:

Based on the anticipated number of individuals completing the form to claim the refund, the company ought to foresee its net profit decreasing to:

• $174.6 per computer tablet.

Detailed explanation:

Initially, the profit per tablet is $180, but after initiating the rebate program, it is expected that 18% of purchasers will fill out the forms and obtain the VISA card, which will lower the profit as demonstrated below:

• Calculation of the reduced benefit for 18% of computer tablets = original benefit - refund amount.
• Reduced benefit for 18% of tablets = $180 - $30 = $150

From here, we find that 18% of tablets will yield a benefit of $150, while the other 82% will maintain a benefit of $180. To ascertain an overall figure for the benefit, we must compute it as follows:

• Total benefit = Percentage of reimbursed tablets * Benefit of reimbursed tablets + Percentage of non-reimbursed tablets * Benefit of non-reimbursed tablets.
• Overall profit = 18% * 150 + 82% * 180
• Overall profit = $174.6

Thus, after the $30 rebate on 18% of the tablets, the total benefit amounts to $174.6.

Answer: It’s two trees

Step-by-step explanation:

Given that the city plants a tree every 20 feet along Dayton Avenue, we first need to establish the length of the side that faces Dayton Avenue.

We currently have three sides unaccounted for. However, it’s crucial to note that the side next to Dayton Avenue has the same length as the two unaccounted sides combined. This equivalence holds because both lengths include the 1 feather and 2 feather markers, confirming congruence.

Thus, the sum of both side lengths will be .

Consequently, the side next to Dayton Avenue measures

feet.

Having determined that this side is 57 feet long, we divide this length by 20 to find the tree planting intervals. Since the planting occurs only in complete 20-foot segments, if the division results in a decimal, we must round down. A tree is only planted if complete segments of 20 feet are reached.

This rounding process gives us 2.

I hope this clarifies!

Answer: (3y - 5) • (2y - 3)

Step-by-step explanation: 6y2 - 10y - 9y - 15

2.1 Factoring 6y2-19y+15

The leading term is 6y2, with a coefficient of 6.

The middle term is -19y, having a coefficient of -19.

The last term is the constant, which is +15.