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gtnhenbr [62]
3 years ago
14

Determine if the outside temperature is a function of the time of day or if the time of day is a function of temperature'.

Mathematics
1 answer:
Evgen [1.6K]3 years ago
8 0
<span>The temperature is a function of the time outside. The sun is the cause for the temperature. The temperature is not the cause of the sun.

</span>
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C(1)=−20<br> c(n)=c(n−1)+10<br><br> Find the second term in the sequence. <br> ​
svet-max [94.6K]

Answer:

c(2) = -10

Step-by-step explanation:

The first equation says that the first term of the sequence is -20.

The second equation is saying that to find any term of the sequence, add 10 to the previous term.

c(2) = c(2-1) + 10

c(2) = c(1) + 10

c(2) = -20  + 10 = -10

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Which is longer? 10% of a mile or 100% of a meter
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1 pt) find the average rate of change of the function over the given intervals. h(t)=\cot (t);
blondinia [14]

\text{Consider the function}\\&#10;\\&#10;h(t)=\cot(t) \text{ on the interval }\left [ \frac{\pi}{4}, \ \frac{3\pi}{4} \right ]\\&#10;\\&#10;\text{we know that the average rate of change of a funtion f(x) over the }\\&#10;\text{interval [a, b] is given by}\\&#10;\\&#10;f_{avg}=\frac{f(b)-f(a)}{b-a}\\&#10;\\&#10;\text{so using this, the average rate of change of the given function is}

h_{avg}=\frac{h\left ( \frac{3\pi}{4} \right )-h\left ( \frac{\pi}{4} \right )}{\frac{3\pi}{4}-\frac{\pi}{4}}\\&#10;\\&#10;=\frac{\cot \left ( \frac{3\pi}{4} \right )-\cot \left ( \frac{\pi}{4} \right )}{\frac{3\pi-\pi}{4}}\\&#10;\\&#10;=\frac{(-1)-(1)}{\frac{2\pi}{4}}\\&#10;\\&#10;=\frac{-2}{\frac{\pi}{2}}\\&#10;\\&#10;\text{Average rate of change of function}=\frac{-4}{\pi}

6 0
3 years ago
1) 130 words in 5 mins. How many words in an hour?
FinnZ [79.3K]

Answer:

Part 1) 1,560 words

Part 2) 161 miles

Step-by-step explanation:

Part 1) 130 words in 5 mins. How many words in an hour?

Remember that

1\ hour=60\ min

so

using proportion

Find out how many words in 60 minutes (one hour)

\frac{130}{5}\ \frac{words}{min}= \frac{x}{60}\ \frac{words}{min}\\\\x=130(60)/5\\\\x=1,560\ words

Part 2) 322 miles in 2 hours. How many miles in 60 minutes?

Remember that

1\ hour=60\ min

so

2\ hours=120\ minutes

using proportion

Find out how many miles in 60 minutes

\frac{322}{120}\ \frac{miles}{min}= \frac{x}{60}\ \frac{miles}{min}\\\\x=322(60)/120\\\\x=161\ miles

8 0
3 years ago
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