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Nitella [24]
3 years ago
10

A pot of water is being heated up the temperature of the water can be modeled by this equation with y representing the temperatu

re in degrees Fahrenheit and d representing the time in minutes that the water has be on the stove
y = 9.5x + 62.1
After how many minutes will the temperature of the water be 138.1 Fahrenheit?
|?| Minutes
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
4 0

Answer:

8 minutes

Step-by-step explanation:

To answer this, set the function y = 9.5x + 62.1 = to 138.1 and solve the resulting equation for x:

9.5x + 62.1 = 138.1

We must isolate x.  Start this process by subtracting 62.1 from both sides of this equation, obtaining:

9.5x = 76

Now divide both sides of this equation by 9.5:

x = 76/9.5 = 8

The water  reaches 138.1 degrees F after 8 minutes.

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The volume of the oblique cylinder is 24 ft3.
Assoli18 [71]

Answer:

A: The height of the cylinder is 3.4 ft.

C: The diameter of the cylinder is about 3 ft.

E: A right cylinder with the same height and radius as this oblique cylinder would also have a volume of 24 ft3.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
You have won the lottery and will receive 20 annual payments of $10,000 starting today. If you can invest these payments at 8.5%
xxTIMURxx [149]

Answer:

$102,677.20

Step-by-step explanation:

The present value of an annuity due is determined by the following expression:

PV = P+P*(\frac{1-(1+r)^{-n+1}}{r})

Where 'P' is the amount of each payment received, 'r' is the interest rate on the investment and 'n' is the number of yearly payments.

With 20 annual payments of $10,000 at a rate of 8.5%, the present value is:

PV = 10,000+10,000*(\frac{1-(1+0.085)^{-20+1}}{0.085})\\PV = 10,000+ 10,000*(9.26772)\\PV=\$102,677.20

The present value of your winnings is $102,677.20.

8 0
3 years ago
If you go on a road trip of 270 miles in the mountains and 7/ 10 of the trip is downhill, how many miles of the trip are not dow
skelet666 [1.2K]

Answer:

81 miles

Step-by-step explanation:

From the question 7/10 of the trip has been said to be downhill. It therefore means that 3/10 is not downhill.

Miles = 270

Downhill = 7/10

Not downhill = 3/10

Now we have To calculate Miles that are not downhill (uphill)

But first I calculated for the number of downhill miles

270x7/10

Downhill = 189 miles

To get the number of not downhill miles

I subtracted 189 from the total number of miles on the question.

270 - 189

= 81 Miles.

Therefore 81 Miles of the trip are not downhill.

If you have anymore questions or need clarity please let me know on the comment section. Thank you and Good luck!

7 0
3 years ago
Read 2 more answers
Can someone answer this I’ll give brainliest
Mrac [35]

Answer:

7/13

Step-by-step explanation:

Arrange the numbers so that the number of girls in year 10 is the numerator, and the total number of girls is the denominator. (140/260) Simplify this by dividing both numbers by 20.

8 0
3 years ago
A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, t
leonid [27]
Answer: 509.17 meters
5 0
3 years ago
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