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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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What are the approximate values of the minimum and maximum points of f(x) = x5 − 10x3 + 9x on [-3,3]?
nika2105 [10]

Answer:

Minimum : -37 at x=2.4 and

Maximum = 37 at x=-2.4.

Step-by-step explanation:

Given:

f(x)=x^5-10x^3+9x; [-3,3]

Explanation:

In order to find minimum/maximum of a function, we need to find the first derivative of the function and then set it equal to 0 to get critical points.

Therefore,

f'(x)=5x^4-30x^2+9

Setting derivative equal to 0, we get

5x^4-30x^2+9=0

On applying quadratic formula, we get

x=2.4, -2.4, -0.7, 0.7.

So, those are critical points of the given function.

Plugging the values x=2.4, -2.4, -0.7, 0.7, -3 and 3 in above function, we get

f(2.4)=(2.4)^5-10(2.4)^3+9(2.4)= -37.01376   : Minimum.

f(-2.4)=(-2.4)^5-10(-2.4)^3+9(-2.4)= 37.01376 : Maximum.

f(0.7)=(0.7)^5-10(0.7)^3+9(0.7) = 3.03807

f(-0.7)=(-0.7)^5-10(-0.7)^3+9(-0.7) = -3.03807

f(-3)=(-3)^5-10(-3)^3+9(-3) =0

f(3)=(3)^5-10(3)^3+9(3) =0

Therefore the approximate values of the minimum and maximum points of f(x) = x^5- 10x^3+ 9x on [-3,3] are:

Minimum : -37 at x=2.4 and

Maximum = 37 at x=-2.4.


7 0
3 years ago
2x/3 -9=4<br> what is x?<br> pls hurry I need help.<br><br> Do not convert to a decimal
SIZIF [17.4K]

Answer:

Step-by-step explanation:

Exact Form: x(39)/(2)

Mixed form:x=19(1)/(2)

3 0
2 years ago
Read 2 more answers
Can someone please rewrite this so I won't get marked for plagiarism?
d1i1m1o1n [39]

Answer:

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The right payment strategy for you will depend on your financial situation. For example, if your budget is tight and you can’t commit to paying more every month but have certain months when your income is higher, you can commit to making an extra payment during those months. Alternatively, if you don’t receive any income boosts throughout the year but have a little bit of disposable income each month, the monthly payment option will be a better fit.When not to pay extraPaying extra on your mortgage can be helpful but it isn’t always the best use of your money.“Whether you should pay extra on your mortgage or not depends on the rest of your financial picture. If you have credit card debt, an expensive car loan, or other high-interest debt, you’ll want to pay that down before making extra payments on your mortgage,” Matthew McEwan, VP of real estate development and property management firm Medallion Capital Group, said.“Additionally, if you are a savvy investor who can tolerate some risk, you may be able to achieve a higher rate of return by investing that money instead,” McEwan said.What to do before paying off your loan earlyBefore you pay off your mortgage early, there are a few things you should do. For one thing, you’ll want to meet all of your regular necessary expenses (rent, food, clothing, etc.). Next, ensure you pay off any debts you have with interest rates that are higher than the interest rate on your mortgage. For example, if you have a $5,000 balance on a credit card with an 18% APR and your mortgage has a 4% APR, you’ll save more by paying down the credit card first.It’s also recommended to make sure that you have an emergency savings account that is equal to at least three months of pay, and preferably six. Moreover, confirm that you and your dependents are enrolled in the insurance policies you need to protect yourselves in the future. This often includes health, property, auto, disability and life policies.

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7 0
3 years ago
What is the solution to the system of equations. 2x-y=7 y=2x+3
OLEGan [10]
To solve this, you can substitute the second equation into the first.

It becomes 2x-(2x+3)=7

Solve from here!

You get -3=7. Not possible. Therefore there is no solution to this system.

System is inconsistent. Hope this helps.
8 0
3 years ago
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Colt1911 [192]

Answer:

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a = bh

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3 years ago
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