A sprinter can run 279 feet in 9 seconds. Find the sprinter's unit rate of feet per second.

Mathematics

1 answer:

TiliK225 [7]3 years ago

5 0

Easy 31 feet per second take 279 and divide it by 9 and you get 31

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Evaluate the following double integral: xy dA D where the region D is the triangular region whose vertices are (0, 0), (0, 3), (

natulia [17]

Answer:

I= 84

Step-by-step explanation:

for

$I=\int\limits^{}_{} \int\limits^{}_D {x*y} \, dA = \int\limits^{}_{} \int\limits^{}_D {x*y} \, dx*dy$

since D is the rectangle such that 0<x<3 , 0<y<3

$I=\int\limits^{}_{} \int\limits^{}_D {x*y} \, dA = \int\limits^{3}_{0} \int\limits^{3}_{0} {x*y} \, dx*dy = \int\limits^{3}_{0} {x} \, dx\int\limits^{3}_{0} {y} \, dy = x^{2} /2*y^{2} /2 = (3^{2} /2 - 0^{2} /2)* (3^{2} /2 - 0^{2} /2) = 3^{4} /4 = 81/4$

4 0

3 years ago

hjlf

4x - 3y + 20 = 0....4x - 3y = -21

4x - 3y = -21.....multiply by -2
5x - 6y = -25
----------------
-8x + 6y = 42 (result of multiplying by -2)
5x - 6y = -25
---------------add
-3x = 17
x = -17/3

this system of equations has 1 solution

4 0

3 years ago

Slope= 5 and passes through (-2,0) in slope-intercept form

lilavasa [31]

The slope-intercept form:

$y=mx+b$