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Mazyrski [523]
3 years ago
8

Joe can run twice as fast as Pete. They start at the same point and run in opposite directions for 40 minutes. The distance betw

een them is now 16km. How fast does joe run?
Mathematics
1 answer:
Vesnalui [34]3 years ago
3 0

I don't know you nswer po

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statuscvo [17]
1) Option A

F = m*a This is the second Law of Newton

2) option J

d = √ [a^2 + b^2 ]

That is the application of Pythagorean theorem, which applys for right triangles.

3) Use sine ratio

sin (30°) = opposite-leg / hypotenuse

=> opposite-leg = hypotenuse * sin(30°)

opposite-leg = f(h)

hypotenuse = h

sin(30°) = 1/2

=> f(h) = h * 1/2

=> option c. f(h) = (1/2)h

4) The formula for the volume of a cylinder is V = area of the base * height

Here area of the base = π(r^2)

height = 2r

=> V (r) = 2π(f^3) <----- option G.

5) The slope - y -intercept function of the line is y = mx + b where m is the slope and b is the y-intercept.

In this problem m = c and b = d

So, the answer is y = cx + d <------ option B.

6) Use the formula speed = distance / time => time = distance / speed

=> f(x) = x / m < ------ option J

7) Use the equation of the distance

distance^2 = (x - x1)^2 + (y - y1)^2

given y = 2x + 7 and (x1,y1) = (3,0)

=> distance^2 = (x - 3)^2 + ( 2x + 7 - 0)^2

=> distance^2 = (x - 3)^2 + (2x + 7)^2

=> f(x) = √ [ (x - 3)2 + (2x + 7)^2 ] <------- option D
8 0
3 years ago
Determine if the sequence converges: [ln(n)]^2 /n
Finger [1]
We will use l´Hopital´s rule for calculating limits involving indeterminate form (in this case: ∞ / ∞ ) using the derivative of the numerator and denominator:\lim_{n \to \infty}  \frac{ln^{2}n }{n}  =  \lim_{n \to \infty} \frac{2ln(n)* \frac{1}{n} }{1} =  \lim_{n \to \infty}  \frac{2ln(n)}{n} This is still form ∞/∞ and we will use the derivative again:\lim_{n \to \infty}  \frac{2ln(n)}{n}  =  \lim_{n \to \infty}  \frac{ \frac{1}{n} }{1} = \lim_{n \to \infty}  \frac{1}{n}=1/∞ = 0
The sequence converges.
 
8 0
3 years ago
Lisa, an experience shipping clerk, can fill a certain order in 10 hours. Bill, a new clerk, needs 13 hours to do the same job.
Lelu [443]
I think 11 hours and 30 minutes
7 0
4 years ago
Jorge reads 15 pages for 7 days. Write and solve an algebraic equation to find p, the number of pages he reads
Wewaii [24]
105 was the number of pgs Jorge read was because 15×7 equals 105
7 0
4 years ago
Hi please help me<br> Thank you
Mars2501 [29]

Answer:

a 7 b5

Step-by-step explanation:

can you mark mee braerlit

6 0
3 years ago
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