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Vikki
21 hour ago
9

A person stands 16 feet from a mirror and sees the top of a 12 foot building. The mirror is 32 feet from the building. Based on

this information, the person's height is ______.
A) 1/2 the height of the building

B) 2/3 the height of the building

C) 3/4 the height of the building
Mathematics
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A certain food has a gluten ratio of 13\,\text{mg}13mg13, start text, m, g, end text of gluten per \text{L}Lstart text, L, end t
tester [12383]

Answer:

The gluten content expressed in micrograms per milliliter is 13 µg/mL.

Step-by-step explanation:

Take into account the details given.

The gluten content of the product is specified as 13 \frac{mg}{L}.

We now need to convert the gluten content to micrograms per milliliter.

For conversion from mg to micrograms, refer to the following facts:

1 mg equals 1000 micrograms.

1 L corresponds to 1000 milliliters.

Next, replace 1 mg = 1000 micrograms and 1 L = 1000 milliliters into the ratio provided above.

13( \frac{1000 \ micro-grams}{1000 \ milliliter} )= 13( \frac{micro-grams}{milliliter})

Consequently, the gluten ratio in micrograms per milliliter is 13 µg/mL.

5 0
3 months ago
Read 2 more answers
Given that P = (-5, 5) and Q = (-13, 10), find the component form and magnitude of 2 vector PQ.
tester [12383]
Define the unit vectors along the x and y axes as \hat{i}, \, \hat{j} correspondingly.

Consequently, the vector from P to Q is
\vec{PQ} = (-13+5)\hat{i} + (10-5)\hat{j} = -8\hat{i} + 5\hat{j}
In terms of components, vector PQ is represented as (-8,5).

The magnitude of vector PQ can be calculated as
√[(-8)² + 5²] = √(89) = 9.434

Answer:
Thus, vector PQ is (-8, 5), and its magnitude equals √89 (or 9.434).
4 0
2 months ago
Read 2 more answers
Colin drove 45 minutes to the airport. He arrived 90 minutes before his flight departed, and then he spent 70 minutes in the air
lawyer [12517]
The addition of the numbers can be done in any sequence.Step-by-step explanation:When determining the total time Colin spent traveling from home to the hotel, the sequence in which the numbers are added does not matter, since time is a scalar quantity that cannot be negative.A scalar quantity possesses only magnitude, without regard to direction. For instance, while temperature can be either positive or negative, time can only be positive, affirming its status as a scalar quantity.
6 0
2 months ago
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James knows that when h walks, he takes about 120 steps per minute and that each step is 2.75 feet long. Which calculation is mo
babunello [11817]

Answer:

120*2.75*60/5280

= 3.75

Step-by-step explanation:

Considering James takes 120 steps in a minute, with 60 minutes in an hour and a mile consisting of 5,280 feet, we can establish his walking pace. By multiplying his steps per minute by the distance of each step (120 * 2.75), we determine the distance he covers in one minute. This value is then multiplied by 60 to account for the total hour. Finally, the total distance is divided by the feet in a mile (5,280), which results in a speed of 3.75 miles per hour. Thus, the calculation becomes 120*2.75*60/5280

4 0
2 months ago
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The newly elected president needs to decide the remaining 8 spots available in the cabinet he/she is appointing. If there are 14
AnnZ [12381]
The cabinet appointments can occur in 121,080,960 different configurations. This is a permutations problem since the order of selection matters; swapping candidates results in a new arrangement. This leads us to utilize the permutation formula. Given there are 14 viable candidates for 8 spots, we need to compute the permutations of 8 from a set of 14, concluding that the cabinet can indeed be arranged in 121,080,960 distinct ways.
3 0
1 month ago
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