Evaluate 8a-1+0.5b8a−1+0.5b8, a, minus, 1, plus, 0, point, 5, b when a=\dfrac14a=

Answer:

From 1 kg of aspirin, a total of 12,345 tablets can be produced.

Step-by-step explanation:

This query mentions that low-strength chewable aspirin tablets for children and adults contain 81 mg of aspirin each, asking how many tablets can be made from 1 kg of aspirin.

Considering the weight of a tablet measured in kg, we start by converting 81 mg to kg.

Each kg equals 1,000,000 mg. Hence

1 kg - 1,000,000 mg

x kg - 81 mg.

1,000,000x = 81

Therefore, x = 0.000081 kg.

Each tablet essentially contains 0.000081 kg of aspirin. To find out how many tablets this yields from 1 kg of aspirin:

1 tablet - 0.000081 kg

x tablets - 1 kg

0.000081x = 1

Thus, x = 12,345 tablets.

Therefore, a total of 12,345 tablets can be manufactured from 1 kg of aspirin.

A is confirmed as correct since -13 falls within the domain of g(x), and 20 is included in its range. For g(x), the inequality holds: -20 < -13 < 5 and -5 < 20 < 45. B is incorrect since the number 4 exists within the domain of g(x), but -11 is not within its range, represented by -20 < 4 < 5 and -11 < -5. C is likewise incorrect, as it is stated that g(0) equals -2. D is also false since 7 does not belong to the domain of g(x).

The area would amount to 25

and we could create 3 squares. This would leave 75

5 inches remaining.

Answer:

The correct choice is option D.

Detailed explanation:

Any fraction where m > n can be represented as a/b

where a = quotient

b = remainder.

The specified number is given as m/n.

3)4( 1 ← quotient

- 3

____

   1 ← remainder

In this case, quotient= 1, remainder=1, and n=3.

.

I have included the relevant image for this inquiry.

Answer:
tan (60) = √3

Explanation:
The triangle in question is a right triangle; hence, we will apply the Pythagorean theorem to find the length of the unknown side.
unknown side = sqrt [(hypotenuse)^2 + (other side)^2]
unknown side = 21√3 units

Given it is a right triangle, we can utilize special trigonometric ratios.
Thus:
tan θ = opposite / adjacent
In this triangle:
θ = 60°
Opposite side = 21√3
Adjacent side = 21

Now substituting into the equation to calculate tan 60 gives us:
tan (60) = (21√3) / (21) = √3

I hope this information is useful:)