3 years ago

Which of the following is a rational number?

Mathematics

1 answer:

Anastaziya [24]3 years ago

7 0

Answer:

none of them are rational

Step-by-step explanation:

hope this helped you! :D

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klio [65]

Answer:

Step-by-step explanation:

Well, 1/3 is in between 0 and 1. Only D is in between 0 and 1.

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3 years ago

A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 31 ft/s. (a) A

Afina-wow [57]

Answer:

13.86 ft/sec

Step-by-step explanation:

If we let x = distance batter has run at time t and D = distance from second base to the batter at time t, then we know $\frac{dx}{dt}=31 ft/s$ and we want $\frac{dD}{dt}$ when he is halfway (at x = 45).

Using Pythagoras theorem

$D^2=90^2+(90-x)^2\\\text{Differentiating with respect to t}\\2D\frac{dD}{dt}=0+2(90-x)(-1)\frac{dx}{dt}\\2D\frac{dD}{dt}=-2(90-x)\frac{dx}{dt}$

When x=45

$D^2=90^2+(90-x)^2\\D^2=90^2+(90-45)^2\\D^2=10125\\D=\sqrt{10125}$

$2D\frac{dD}{dt}=-2(90-x)\frac{dx}{dt}\\2\sqrt{10125}\frac{dD}{dt}=-2(90-45)(31)\\\frac{dD}{dt}=\frac{-2(45)(31)}{2\sqrt{10125}} =-13.86ft/s$

Thus, when the batter is halfway to first base, the distance between second base and the batter is decreasing at the rate of about 13.86 ft/sec.

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4 years ago

Vivian won a $18 gift certificate to a Mexican restaurant. She must spend more than the

7nadin3 [17]

Answer:

$7x+y>18$

Step-by-step explanation:

$7x$ is 7 dollars times the amount of burritos

$y$ is 1 dollar times the amount of tacos

$>$ because the final price has to be more than the gift card

$18$ the money on the gift card

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3 years ago

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Natali [406]

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3 years ago

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