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Dovator [93]
3 years ago
6

It would take an hour for plane A to meet plane B which is flying towards it. If the distance between them will be 200 miles aft

er 45 minutes, how far apart are they now?
Mathematics
2 answers:
sammy [17]3 years ago
3 0
Let a = speed of the plane A, and b = speed of plane B.
(Assume that the net effect of the wind is negligible.)
From the first sentence, the distance between A and B after each travels for 1 hour is a + b miles. From the second sentence, after 45 minutes, or 0.75 hour, the distance between A and B is 200 miles. Plane a has traveled 0.75a, while plane B has traveled 0.75b.
Hence a + b = 0.75a + 0.75b +200
==> 0.25(a + b) = 200.
==> a + b = 800.
Therefore planes A and B are 800 miles apart now.
Umnica [9.8K]3 years ago
3 0

Answer:

<u>800 miles apart</u>

Step-by-step explanation:

0.75a+0.75b=200

0.25(a+b)=200

a+b=800 miles apart

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The population of Farmersville can be modeled by the inequality y &gt; 2,000x + 2,100, where x is the number of years since 2010
Kaylis [27]

Answer:

The population can be greater than 6,100 but less than 6,300, and thus, we cannot determine if the population of Farmersville will be greater than 6,300 in 2012.

Step-by-step explanation:

Inequality for the population of Farmsville:

The inequality for the population of Farmsville in x years after 2010 is given by:

y(x) > 2000x + 2100

Will the population of Farmersville be greater than 6,300 in 2012?

2012 is 2012-2010 = 2 years after 2010, so we have to find y(2).

y(2) > 2000(2) + 2100

y(2) > 6100

The population can be greater than 6,100 but less than 6,300, and thus, we cannot determine if the population of Farmersville will be greater than 6,300 in 2012.

3 0
3 years ago
How do I get this form?
serg [7]

Short answer: you don't.

The linear term in the numerator of the integral means the form shown is not applicable. Rather, you perform the integration using partial fraction expansion.

\displaystyle\int{\frac{5x+1}{25x^2+60x-13}}\,dx=\int{\frac{5x+1}{(5x-1)(5x+13)}}\,dx\\\\=\frac{1}{35}\int{\frac{5}{5x-1}}\,dx+\frac{6}{35}\int{\frac{5}{5x+13}}\,dx

The integral is ...

... (1/35)ln|5x-1| +(6/35)ln|5x+13| +C

_____

If the numerator of your integral were a constant, then the fractions multiplying the separate partial fraction integrals would have the same magnitude and opposite signs. You would end with the difference of logarithms, which could be expressed as the log of a ratio as shown in your problem statement.

6 0
3 years ago
The mean temperature for the first 7 days in January was 3 °C. The temperature on the 8th day was 5 °C. What is the mean tempera
andre [41]

Answer: 3.25°C

Step-by-step explanation:

From the question, we are given the information that the mean temperature for the first 7 days in January was 3 °C. This means that the total temperature for the first 7 days in January was:

= 3°C × 7

= 21°C

We are also told that the temperature on the 8th day was 5°C. To calculate the the mean temperature for the first 8 days in January, we add the total temperature for the 8 days and then divide by 8.

The total temperature for the 8 days will be: = 21°C + 5°C = 26°C.

The mean temperature for the first 8 days in January will now be:

= 26°C/8

= 3.25°C

7 0
4 years ago
Suppose that a population of fish in a pond doubled every 6 months. There were originally 8 fish in the pond. How many fish were
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Answer is D. Just use 8x2^20
7 0
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