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jarptica [38.1K]
3 years ago
15

A man wants to hike two trails. The length of one trail is 7.709 km. The length of the other trail is 9.0309 km. What is the tot

al length of the two​ trails?
Mathematics
1 answer:
Naya [18.7K]3 years ago
3 0

Answer:

Its addition I think so the answer would we 16.7399km for both trials

Step-by-step explanation:

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Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a
kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be representedh(t)=-16t^2+20t.

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?  

We will use average rate of change formula to solve our given problem.

\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}

\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}

\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}

\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}

\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}

\text{Average rate of change}=\frac{6}{\frac{1}{2}}

\text{Average rate of change}=\frac{2\cdot 6}{1}

\text{Average rate of change}=12

Therefore, Spot's average rate of ascent is 12 feet per second.

3 0
3 years ago
Laura walked 612 laps of a circular path in 2 hours. At that rate, how many laps of the path did she walk in one hour?
kari74 [83]

Answer:

306 laps

Step-by-step explanation:

If Laura walked 612 laps in 2 hours then if you divide 2 by 2 then it will give you 1, which is 1 hour. This means that if you divide 612 by 2, it should give you the answer of 306, the amount of laps in 1 hour. I hope this helps!

8 0
3 years ago
Write the slope-intercept form of the equation of the line perpendicular to the
Anni [7]

Answer:

12x=4y........................................

6 0
2 years ago
You are in charge of managing the advertising for a restaurant. You are able to buy up to 62 advertisements a month, and your da
erik [133]

Answer:

Greatest number of newspaper ads = 59

Greatest number of television ads = 23

Step-by-step explanation:

It is given that we should buy at least 5 newspapers for every 3 television ads.

So, after purchasing 3 television ads, we can buy any number of television ads but the number should be greater than 5.

Since, the maximum is 62, we can buy 59 newspaper ads. (Note that we have already bought 3 television ads).

For every 3 television ads, we should buy 5 newspaper ads. So,

For the purchase of 3 television ads, we should buy the minimum of 5 newspaper ads.

For the purchase of 2(3) television ads, we should buy the minimum of 2(5) newspaper ads.

For the purchase of 3(3) television ads, we should buy the minimum of 3(5) newspaper ads.

...

...

For the purchase of 7(3) = 21 television ads, we should buy the minimum of 7(5) = 35 newspaper ads.

So, totally 21+35 = 56 ads.

For the remaining 6 ads, if we buy 3 television ads, we should buy 5 newspaper ads.

So, we can buy 2 television ads and 4 newspaper ads.

Hence, we can buy the maximum of 21+2 = 23 television ads.

7 0
3 years ago
Read 2 more answers
Solve for m:<br> 2 (m + 7) = -4- m<br> Your answer
Leokris [45]

Answer:

m = -6

Step-by-step explanation:

2 (m + 7) = -4 - m

2m + 14 = -4 - m

3m + 14 = -4

3m = -18

m = -6

Hopefully this helps!

Brainliest please?

8 0
2 years ago
Read 2 more answers
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