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Ira Lisetskai [31]
3 years ago
12

Assume running consumes 91 calories per mile. If you run 8-minute miles, what is your average power output, in watts, during a 2

-hour run?
Mathematics
1 answer:
avanturin [10]3 years ago
3 0

Answer:

0.79 Watts

Step-by-step explanation:

2 hours is 2 * 60 = 120 minutes

If you take 8 minutes per mile, you can run:

120/8 = 15 miles in 2 hours

Per mile calories consumption is 91, so in 15 miles:

91 * 15 = 1365

Average Power Output is Energy by Time

Also, calories to joules is:

1 Calorie = 4.184 Joules

So 1365 calorie is:

1365 * 4.184 = 5711.16 Joules

and 2 hours in seconds is 2 * 60 * 60 = 7200 seconds

Now

Average Power Output = 5711.16/7200 = 0.79 Watts

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Leno4ka [110]

The system r+l = 46 and 15r + 9l = 396 can be used to determine the number of raspberries boxes and lemon seed boxes sold.

Step-by-step explanation:

Given,

Cost per box of raspberry = $15

Cost per box of lemon seeds = $9

Total boxes sold = 46

Total revenue generated = $396

Let,

r represent the number of raspberries sold

l represent the number of lemon seeds sold

According to given statement;

r+l = 46    Eqn 1

15r + 9l = 396    Eqn 2

The system r+l = 46 and 15r + 9l = 396 can be used to determine the number of raspberries boxes and lemon seed boxes sold.

7 0
2 years ago
How do you solve 38.7×10 to the fourth power
faltersainse [42]

ndex Notation and Powers of 10

10 to the Power 2

The exponent (or index or power) of a number says

how many times to use the number in a multiplication.

102 means 10 × 10 = 100

(It says 10 is used 2 times in the multiplication)

Example: 103 = 10 × 10 × 10 = 1,000

In words: 103 could be called "10 to the third power", "10 to the power 3" or simply "10 cubed"

Example: 104 = 10 × 10 × 10 × 10 = 10,000

In words: 104 could be called "10 to the fourth power", "10 to the power 4" or "10 to the 4"

8 0
3 years ago
(y-5)6+15–5y=5<br> What does the variable represent?
Strike441 [17]

Answer:

2.75

Step-by-step explanation:

(y-5)6+15–5y=5

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yKpoI14uk [10]

Answer: second option.

Step-by-step explanation:

In order to solve this exercise, it is necessary to remember the following properties of logarithms:

1)\ ln(p)^m=m*ln(p)\\\\2)\ ln(e)=1

In this case you have the following inequality:

e^x>14

So you need to solve for the variable "x".

The steps to do it are below:

1. You need to apply ln to both sides of the inequality:

ln(e)^x>ln(14)

2. Now you must apply the properties shown before:

(x)ln(e)>ln(14)\\\\(x)(1)>2.63906\\\\x>2.63906

3. Then, rounding to the nearest ten-thousandth, you get:

x>2.6391

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2 years ago
Four employees of Papa Tony's Pizza are cleaning up at the end
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Answer:

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