Answer:
It will take 17.5 minutes to reach 50 degrees F.
Step-by-step explanation:
Current temperature = -13 degrees F
With the engine on, the temperature goes up by 3.6°F per minute.
Let us assume that it takes x minutes to reach 50 degrees F.
So, the time taken will be =
=> 
=> 
x = 17.5 minutes
The expression that tells how much the temperature needs to change from -13°F to 50°F is :
It will take 17.5 minutes to reach 50 degrees F.
Answer: the answer is B: 24ft
Step-by-step explanation: To find how wide the triangle is identify your angles. You have a right angle which is equal to 90° and an angle that measures 46°. Add up both of these angles and you'll get 136°. A triangle can only have three angles that add up to 180. So subtract 180 and 136 you get 44. Multiply the hypotenuse by sin(46) to get the length of the side facing the opposite way of the angle that measures 44°. You will get 11.8 which is about 12. The other triangle is a congruent triangle meaning that it's angles and sides are the same. Add both 12's up and you have 24ft as your width for the cottage.
Answer:
this is a required equation.
Integrate indefinite integral:
Solution:
1. use substitution
=>
=>
=>
=>
2. decompose into partial fractions
where A=1/2, B=1/2, C=-1
3. Substitute partial fractions and continue
4. back-substitute u=e^x
Note: log(x) stands for natural log, and NOT log10(x)
For this question, the time given confuses me. I know the rate of return is just total return divided by divided by investment, Assuming that Matt received the $400 in dividends as cash payouts, and they weren't reinvested into buying shares of the stock, then his total return over two years was $500, Now, if Matt's dividends were reinvested into the stock - and if you have a 401(k) or IRA, that's what usually happens - then his ROI would have been only 6% because he only made a profit of $100 on an investment of $1500. Note: In the real world, in current market conditions, Matt probably would have got about a 5% return on a good stock, and Bella would have received about 0.05% on a savings account.
hope this helped you ;)
