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Amiraneli [1.4K]
3 years ago
6

Before being put out of service, the supersonic jet Concorde made a trip averaging 120 mi/h less than the speed of sound for 0.1

h and 410 mi/h more than the speed of sound for 3.0 h. If the trip covered 3,990 mi, what is the speed of sound?
Mathematics
1 answer:
evablogger [386]3 years ago
8 0

Answer:

894.19 mi/hr

Step-by-step explanation:

Total distance of the trip = 3990 mi

Let the speed of the sound be 'x' miles per hour

Now,

Total distance = Speed × Time

Therefore,

According to the question

3,990 mi = [ ( x - 120 ) × 0.1 ] + [ ( x + 410 ) × 3.0 ]

or

3,990 mi = 0.1x - 12 + 3x + 1230

or

0.1x + 3x = 2772

or

3.1x = 2772

or

x = 894.19 mi/hr

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Step-by-step explanation:

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The atmospheric pressure at sea level is 14.7 lb/in2. This pressure is reduced by half for each 3.6 miles above sea level. Which
Oxana [17]
Find attached a graph that I constructed.

To do that graph I used Excel.

First I did a table with this set of points:

<span><span><span>height      presuure
</span> <span> miles        psi
</span> <span> 0              14,7 </span> <span> <---- initial data

3.6           7.35 </span> <span> <--- increase hegiht 3.6 miles => half pressure

7.2            3.675 </span> <span> <---- second increase of 3.6 miles in height

10. 8         1.8375 </span> <span> <---- third increase of 3.6 miles in height

14.4           0.91875 </span> <span>

18              0.459375 </span> </span></span>
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If 4 pairs of shoes cost $48, what is the cost for 7 pairs of shoes?
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Answer: $84

Step-by-step explanation: 48/4=12 12x7=84

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The sequence a1 = 6, an = 3an-1 can also be written as
wariber [46]
The question as presented is incomplete, here is the complete question with the multiple choice:

The sequence a1 = 6, an = 3an − 1 can also be written as:

1) an = 6 ⋅ 3^n
2) an = 6 ⋅ 3^(n + 1) 
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4) an = 2 ⋅ 3^(n + 1)

The correct choice is option 3) an = 2⋅3^n.

If we look at the initial sequence an = 3⋅an-1, and

a1 = 3⋅a0 = 6
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a0 = 2
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A common factor in each of those numbers is 2, so we can rewrite the sequence by factoring out 2.

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a0 = 2⋅3^0
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7 0
3 years ago
8. Colby and Cheryl work in different local supermarkets. Colby regularly earns $8.90 per hour,
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Answer:

colby

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Cheryl

hourly rate = $7.10

overtime rate = double time = 2

the hourly overtime rate is the product of overtime rate and the hourly rate.

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<h3>Comparison</h3>

we note that the hourly overtime rate of cheryl is higher than the hourly overtime rate of colby, which implies that cheryl earns more for one hour of overtime.

we are also interested in the difference of the hourly overtime rate:

hourly overtime rate colby — hourly overtime rate cheryl

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= $0.85

thus cheryl earns $0.85 more for one hour of overtime than colby .

<h3>result</h3>

<h2>cheryl,$0.85</h2>

그것이 당신에게 도움이되기를 바랍니다 :)

가장 똑똑한 것으로 표시하십시오 :)

좋은 하루 되세요 :)

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