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Mademuasel [1]
1 year ago
10

Lindbergh's Air Speed Charles Lindbergh estimated that at the start of his historic flight the practical economical air speed wa

s 95 mph and at 4000 statute miles from the starting point it was 75 mph (www.charleslindbergh.com). Assume that the practical cconomical air speed S is a linear function of the distance D from the starting point as shown in the accompanying figure. Find a formula for that function.
Mathematics
1 answer:
Strike441 [17]1 year ago
6 0

The function based on the information will be S = -0.005D + 95.

<h3>How to illustrate the function?</h3>

It should be noted that d is the distance from the starting point while S is the speed.

The points given are (0 95)( 4000, 75).

Slope = (75 - 95)(4000 - 0)

= 0.005

The equation will be:

S = -0.005D + 95

Learn more about functions on:

brainly.com/question/25638609

#SPJ1

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Triangle EFG is dilated by a scale factor of 3 centered at (0, 1) to create triangle E'F'G'. Which statement is true about the d
lesya [120]

Answer:

segment EH and segment E prime H prime both pass through the center of dilation.  

Step-by-step explanation:

Center of dilation is point (0.1), same as H. Both, E(0,5) and H(0,1) are placed over y-axis, then E' and H' are also located at y-axis.

After dilation, H' is placed at (0,1) because it coincides with the center of dilation

Distance between E and center of dilation is 4 units, then E' should be at 4*3=12 units from the center of dilation and over y-axis. Therefore, E' is placed at (0, 13)

So, segment E'H' goes from (0,1) to (0,13), and pass through the center of dilation, like segment EH.

4 0
3 years ago
When Justin goes to work, he drives at an average speed of 65 miles per hour. It takes about 1 hour and 30 minutes for Justin to
Fofino [41]

Answer:

Justin spends $14.24 on gas to travel to work.

Step-by-step explanation:

Given:

Average speed at which Justin goes to work = 65 miles/hour

Time taken by Justin to arrive at work = 1 hour and 30 minutes = 1.5 hours [As 30 minutes =0.5 hours]

Distance he can travel per gallon of gas = 25 miles.

Cost of per gallon of gas = $3.65

Solution:

We first determine the distance Justin travels to work.

Distance = Speed\times time

Distance = 65\times 1.5 = 97.5\ miles

Using unitary method to find the amount of gas required to cover the distance.

If 25 miles is covered in 1 gallon of gas

Then 1 mile will be covered in = \frac{1}{25} gallons of gas

So, to cover 97.5 miles gas required = \frac{1}{25}\times 97.5=3.9 gallons of gas.

Using unitary method to find the cost of 3.9 gallons of gas.

Cost of 1 gallon of gas = $3.65

So, cost of 3.9 gallons of gas will be = \$3.65\times 3.9=\$14.235\approx\$14.24 (Answer)

3 0
3 years ago
Marriane can say hello in more than 7 languages. Which number line could represent this situation?
Alina [70]

Answer:

A) x > 7

Step-by-step explanation:

Since it's more than, the inequality would be >

Since it's >, that means it's an open circle

So,

x > 7

8 0
2 years ago
A bag contains colored skittles.
Anarel [89]
50%


Explanation: There are 24 skittles in total, 12 of then at green. 12 is half of 24, so, it would be 50%
5 0
3 years ago
Calculate 3n-1 for n equals 2 to 10 explain how you know that the numbers are composite
Troyanec [42]

composite number means a number that can be formed by multiplying two smaller numbers

3n-1 for n=2, 3n-1=3*2-1=6-1=5

3n-1 for n=10, 3n-1=3*10-1=30-1=29

5 is composite because 2*2.5=5

29 is composite because 5*5.8=29

5 0
3 years ago
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