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Andrej [43]
2 years ago
14

Two ships leave port at the same time. One travels north at 70 knots (that is, 70 nautical miles per hour), and the other west a

t 70 knots. The distance between the ships increases at a constant rate. At what rate is the distance between the two ships increasing
Mathematics
1 answer:
sergeinik [125]2 years ago
5 0

Answer:

99miles is more likely correct

or 114miles as knots is usually higher mileage

Step-by-step explanation:

70^2 + 70^2 = c^2

sqrt 4900 + sqrt 4900 = c^2

sq rt 9800 = c^2 = 98.9949494

99 x 1.1507794480225 = 113.927165 = 114miles if converted to 80.6m/ph

70 Knots is equivalent to 80.554561361578 Miles/Hour. How to convert from Knots to Miles/Hour The conversion factor from Knots to Miles/Hour is 1.1507794480225. To find out how many Knots in Miles/Hour, multiply by the conversion factor or use the Velocity converter.

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F(x)=4^x and g(x)=4^x+2
dsp73

Given:

The two functions are:

f(x)=4^x

g(x)=4^x+2

To find:

The type of transformation from f(x) to g(x) in the problem above and including its distance moved.

Solution:

The transformation is defined as

g(x)=f(x+a)+b                .... (i)

Where, a is horizontal shift and b is vertical shift.  

  • If a>0, then the graph shifts a units left.
  • If a<0, then the graph shifts a units right.
  • If b>0, then the graph shifts b units up.
  • If b<0, then the graph shifts b units down.

We have,

f(x)=4^x

g(x)=4^x+2

The function g(x) can be written as

g(x)=f(x)+2            ...(ii)

On comparing (i) and (ii), we get

a=0,b=2

Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).

3 0
2 years ago
Suppose that F(x)=x3 and G(x)=-5x3+2 which statement best compares the graph of g(x) with the graph of F(x)
eimsori [14]

Answer:

The graph of G(x) is the graph of F(x) stretched vertically, flipped over the x-axis, and shifted 2 units up

Step-by-step explanation:

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5 0
2 years ago
A store sells 16 notebooks $7.04 at te same rate what is the cost of 4 notebooks​
wolverine [178]

4 x 7.04 ...................................

7 0
2 years ago
A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and
Alona [7]

Answer:

1 Chair= $1.25     1 table= $8.25

Step-by-step explanation:

5c+3t=31

2c+6t= 52

-2(5c+3t=31)

-10c-6t=-62

+

2c+6t=52

= -8c=-10

/-8      /-8

c= 1.25 or 1 1/4

2c+6t=52

2(1.25)+6t=52

2.5+6t=52

-2.5        -2.5

6t= 49.5

/6      /6

t= 8 1/4

5 0
2 years ago
The bar graph shows the number of school days Jalen had homework and did not have homework during the first six months of
Oksanka [162]

Given:

<u>In July:</u>

Number of days he has done the homework = 6

Number of days he has not done the homework = 4

<u>In August:</u>

Number of days he has done the homework = 16

Number of days he has not done the homework = 7

<u>In September:</u>

Number of days he has done the homework = 14

Number of days he has not done the homework = 4

<u>In October:</u>

Number of days he has done the homework = 14

Number of days he has not done the homework = 8

<u>In November:</u>

Number of days he has done the homework = 16

Number of days he has not done the homework = 4

<u>In December:</u>

Number of days he has done the homework = 5

Number of days he has not done the homework = 10

To find the months in which the difference between the number of days with homework and with no homework greater than 6.

Now,

<u>In July,</u>

The difference between the number of days with homework and with no homework = 6-4 = 2

<u>In August,</u>

The difference between the number of days with homework and with no homework = 16-7 = 9

<u>In September,</u>

The difference between the number of days with homework and with no homework = 14-4 = 10

<u>In October,</u>

The difference between the number of days with homework and with no homework = 14-8 = 6

<u>In November,</u>

The difference between the number of days with homework and with no homework = 16-4 = 12

<u>In December,</u>

The difference between the number of days with homework and with no homework = 10-5 = 5

Hence,

In 3 months the difference between the number of days with homework and with no homework greater than 6 and these are: August, September, November.

4 0
3 years ago
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