Answer:
X = 600
Step-by-step explanation:
x-(0.0765x)=554.1
x-0.0765x=554.1
0.9235x=554.1
x=600
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Answer:
decreasing at 390 miles per hour
Step-by-step explanation:
Airplane A's distance in miles to the airport can be written as ...
a = 30 -250t . . . . . where t is in hours
Likewise, airplane B's distance to the airport can be written as ...
b = 40 -300t
The distance (d) between the airplanes can be found using the Pythagorean theorem:
d^2 = a^2 + b^2
Differentiating with respect to time, we have ...
2d·d' = 2a·a' +2b·b'
d' = (a·a' +b·b')/d
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To find a numerical value of this, we need to find the values of its variables at t=0.
a = 30 -250·0 = 30
a' = -250
b = 40 -300·0 = 40
b' = -300
d = √(a²+b²) = √(900+1600) = 50
Then ...
d' = (30(-250) +40(-300))/50 = -19500/50 = -390
The distance between the airplanes is decreasing at 390 miles per hour.
Answer:
3.496
Step-by-step explanation:
Multiply these two by getting rid of the decimal:
38 -<em>decimal is moved one place here.</em>
<u>x092</u> -<em>decimal is moved two places here.</em>
3496 -move decimal three places over.
Lake Erie
Step-by-step explanation:
8m+3
Because sum means adding so you add 8m and 3