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olga55 [171]
2 years ago
4

A sound engineer uses a cardioid microphone to record a musical performance. The microphone records sounds according to the equa

tion r = 12 + 12sin(θ), where r is measured in meters.
What does the sum of the constant, 12, and the coefficient, 12, in the equation represent?

a) The maximum possible distance between the performer and microphone
b) The minimum possible distance between the performer and microphone
c) One half the maximum possible distance between the performer and microphone
d) One half the minimum possible distance between the performer and microphone
Mathematics
1 answer:
Mazyrski [523]2 years ago
8 0

Answer:

Step-by-step explanation:

no te entiendo porfavor explicate muy bien

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A curious student asks his math teacher: "I heard you have three daughters. How old are they?" The math teacher says: "Well, the
scZoUnD [109]

Answer:

There are 7 solutions.

The possible answers are:

The oldest daughter is 72 and the others are 1 and 1 and the room number is 74.

The oldest daughter is 36 and the others are 1 and 2 and the room number is 39.

The oldest daughter is 24 and the others are 1 and 3 and the room number is 28.

The oldest daughter is 18 and the others are 1 and 4 and the room number is 23.

The oldest daughter is 12 and the others are 2 and 3 and the room number is 17.

The oldest daughter is 12 and the others are 1 and 6 and the room number is 19.

The oldest daughter is 9 and the others are 1 and 8 and the room number is 18.

The first few solutions are laughable and unlikely, but all are possible.  

OR..

The clue that the sums of the daughters' ages is the room number is the sleeper.  The student's first response is that two possible age combinations meet the necessary conditions.  The teacher's reference to the "oldest daughter" resolves the ambiguity, so one of the solutions must consist of a set of ages in which at least two of the oldest daughters are the same age.

The prime factors of 72 are 2^3 *3^2.  Because one of the solutions requires the two oldest daughters to be the same age, only combination 6, 6, 2 would be admissible.  There are insufficient factors for any other combination in which the duplicate ages represent the oldest daughter.  The ages of these daughters sum to 14, which is the room number.  The other combination must therefore add to 14 and have an unique oldest age.  The combination 8, 3, 3 meets all conditions and is the answer.

4 0
2 years ago
The graph represents the function where electricity usage in kilowatts per hour of a clock radio varies directly with the number
geniusboy [140]

Answer:

Reasonable estimation for constant of variation is 0.25 kWh per day.    

Step-by-step explanation:

We are given the following information in the question:

  • The graph represents the function where electricity usage.
  • Electricity usage in kilowatts per hour of a clock radio varies directly with the number of days.
  • The x-axis shows the number of days and usage in kilo-watt per hour is showed on the y-axis.
  • Some coordinates of the graph are: (0,0), (2,0.5) and (6,1.5)

Formula for constant of variation:

\displaystyle\frac{y_2-y_1}{x_2-x_1}

Putting the values from the coordinates (2,0.5) and (6,1.5), we get:

\displaystyle\frac{1.5-0.5}{6-2} = \frac{1}{4} = 0.25\text{ kilowatt-hours per day}

Hence, reasonable estimation for constant of variation is 0.25 kWh per day.

7 0
2 years ago
Read 2 more answers
write an algebraic expression to model each situation. you have a summer job at a car wash. you earn $8.50 per hour and are expe
dybincka [34]
So we know $8.50 per hour
One-time fee of $15 for uniform
x hours per week

y=8.5x-15
8 0
2 years ago
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Three snack bars contain 1/5, 0.22, and 19% of their calories from fat. Which snack bar contains the least amount of calories fr
BabaBlast [244]
Converting all values to decimal, we have
1/5 = 0.2
19% - 19/100 = 0.19

Therefore the snack that contains 19% has the least amount of calories from fat.
4 0
2 years ago
PLEASE HELP!! Which steps can be used to solve 6/7x+1/2=7/8 for x? Check all that apply. A. Divide both sides of the equation by
Anon25 [30]

Answer:

B. first step

6/7x=7/8-1/2

c. second step

6/7x=7/8-4/8=3/8

d. and e are the same

x=3/8x7/6

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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