You are hiking and trying to determine how far away the nearest cabin is, which happens to be due north from your current positi

Response:

(a) 3, 5, and 6

Detailed explanation:

In this study, 43 participants will be treated with a gel containing tooth-whitening agents, while the remaining 42 will receive a placebo. Consequently, a placebo is in use.

The selection process for the 43 individuals receiving the gel will be random.

Post-experiment, the whiteness levels of both groups will be compared to analyze the gel's effect.

For true randomness in the experiment, options 3, 5, and 6 are applicable.

(b)

In order for the experiment to be double-blind, the evaluators analyzing the whiteness, as well as the participants, must not know which individuals were given the whitening gel versus the placebo.

Response:

Depreciation as of December 31, Year 1 will amount to $1,250

Detailed explanation:

Cost of Purchase = $28,000

Salvage Value = $3,000

Total Depreciation:

The total depreciation over 5 years (60 months) is calculated as Purchasing Cost minus Salvage Value

Total Depreciation over 5 years (60 months) = 28,000 - 3,000

Total Depreciation over 5 years (60 months) equals $25,000

Calculating Monthly Depreciation:

Monthly depreciation is derived from the overall depreciation divided by the total number of months as follows:

Total Depreciation for a single month = 25,000/60

Depreciation per month = 416.67$ (Monthly Depreciation)

Depreciation until December 31, Year 1

As this spans from September 1 to December 31 of Year 1, three months have passed, yielding total depreciation = 3 * Monthly Depreciation

Thus, Depreciation as of December 31, Year 1 = 3 * 416.67

Total Depreciation by December 31, Year 1 = $1,250

Answer:

The blimp's altitude is 1635.363039 feet above the ground.

Step-by-step explanation:

Archie and Veronica stand one mile (5280 ft) apart on the ground, leading to AV = 5280 feet.

Let's denote the blimp's height above ground as XB = h feet.

Archie records the angle of elevation from the ground to the blimp as 53 degrees, signifying angle ∠BAX = 53°.

Veronica, meanwhile, measures the angle of elevation to the blimp at 22 degrees, indicating angle ∠BVX = 22°.

In Right triangle ΔAXB, we utilize cot(A) = AX / XB.

Thus, AX can be expressed as AX = XB*cot(A) = h*cot(53°) = 0.75355405*h.

In Right triangle ΔVXB, cot(B) is similar: cot(B) = VX / XB.

Consequently, VX is VX = XB*cot(B) = h*cot(22°) = 2.475086853*h.

We know AV = 5280, meaning AX + VX = AV.

Therefore, AX + VX equals 5280.

From here, we can write: 0.75355405*h + 2.475086853*h = 5280.

This simplifies to: 3.228640904*h = 5280.

Thus, h is calculated as 5280 / 3.228640904 = 1635.363039 feet.

Thus, the blimp's height from the ground is 1635.363039 feet.