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Arturiano [62]
3 years ago
9

Answers for 1,2,3 please. Thank you

Mathematics
1 answer:
lesantik [10]3 years ago
7 0
1. <em>B.) 6^{4}

</em>
2. <em>C.) 3 x 3 x 3 x 3 x 3</em><em />
<em>
</em>
<em />3. 
<em>a.) -5^{3}

b.) 1.05^{6}</em>


c.) <em>(-\frac{3}{5} )^{3}
</em>
<em />
<em />Here's a little explanation as to how we got those answers. A power is an exponent given to a number indicating that the base number is being multiplied by itself that many times. Here's an example:
<em>
</em>
4^{3}
<em />The 4 is our base number and it is given the exponent 3, so we would read this expression like so, " Four to the third power". That third power means that 4 is being multiplied by itself 3 times. so, it would look something like this:
<em>
4 x 4 x 4
16 x 4
64

</em>
4^{3} = 64
<em>
</em>Thank you for the question! I hope this helped! Have an amazing day! :D
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Answer:

the answer should be A.

Step-by-step explanation:

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A press release describing the 1986 nonstop, round-the-world trip by the aircraft voyager including the following data:
adoni [48]

Answer:

a.) the average speed of the aircraft in miles per hour

115.76 miles/ hour

b.) the fuel consumption in miles per pound of fuel

(assume a density of 0.70 g/mL for the fuel.)

2.8 miles/Ib of fuel

Step-by-step explanation:

A press release describing the 1986 nonstop, round-the-world trip by the aircraft voyager including the following data:

flight distance: 25,012 miles

flight time: 9 days, 3 min., 44 seconds

fuel capacity: nearly 9000 lbs.

fuel remaining at the end of flight: 14 gal.

To the maximum number of significant figure permitted, calculate:

a.) the average speed of the aircraft in miles per hour

Step 1

We convert the time to hours

flight time: 9 days, 3 min., 44 seconds

1 day = 24 hours

9 days =

24 × 9

= 216 hours

60 mins = 1 hour

3 mins =

3/60 = 1/20 = 0.05 hours

1 hour = 60 minutes

1 minute = 60 seconds

1 hour = 60 × 60 = 3600 seconds

If 3600 seconds = 1 hour

44 seconds =

= 44/3600

= 0.0122222222 hours

Total number of hours spent = (216 + 0.05 + 0.0122222222) hours

= 216.06222222 hours

Speed = Distance/Time

= flight distance: 25,012 miles

Speed = 25,012 miles/ 216.06222222hours

= 115.76294895 miles/ hour

Approximately = 115.76 miles/ hour

b.) the fuel consumption in miles per pound of fuel

(assume a density of 0.70 g/mL for the fuel.)

Step 1

We determine how much fuel is used

We have 14 gallons of fuel left over

1 gallon = 3.785 litres

14 gallons =

Cross Multiply

14 gallons × 3.785 liters/1 gallon

= 52.9958 liters

Note that density of fuel =

0.70 g/ml

1 gram / millilitre = 1 kilogram / litre

Hence, 0.7g/ml = 0.7 kg/L

Hence,the mass of fuel left = 52.9958 liters * 0.7 = 37.09706kg

1 kilogram = 2.205 pounds

37.09706kg =

37.09706kg × 2.205 pounds

= 81.7990173 lbs

Since the full capacity = 9000 lbs

The fuel used = 9000 - 81.7990173 lbs

= 8918.2009827 lbs

Hence, fuel consumption is

Distance/ amount of fuel used

25012/8918.2009827 lbs = 2.8046015164 miles/lb of fuel

Approximately = 2.8 miles/Ib of fuel

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Find an ordered pair (x,y) that is a solution to the equation 5x+y=7
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