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Harlamova29_29 [7]

3 years ago

8

Roy weighs 150 pounds and plans to lose 1.5 pounds a week. Luis weighs 200 pounds and plans to lose 2.5

2 answers:

Gennadij [26K]3 years ago

7 0

Roy: y=150-1.5x

Luis: y=200-2.5x

150-1.5x=200-2.5x

150=200-x

-50=-x

50=x

So in 50 weeks, Roy and Luis will weigh the same at 75 pounds each.

nexus9112 [7]3 years ago

3 0

Answer:

150-1.5x = 200-2.5x

Step-by-step explanation:

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2 years ago

Determine if the function f(x) = 4√x − 3x satisfies the Mean Value Theorem on [4, 49]. If so, find all numbers c on the interval

Vedmedyk [2.9K]

Answer:

c

Step-by-step explanation:

The mean value theorem states that for a continuous and differentiable function on a interval there exists a number c from that interval, that

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First we must determine the endpoints:

$f(49)=-119$

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We find the derivative of the function, f'(c)

$f'(c)=3+2\sqrt{c}$

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3 years ago

If a sphere of ice cream that was 2.5 inches in diameter was placed on top of the ice cream cone that had a height of 4 inches a

liq [111]

Answer:

The cone would not the all of the ice cream fit into the cone.

Step-by-step explanation:

Geometrically speaking, the volume of the cone ( $V_{c}$ ), measured in cubic inches, is described by the following equation:

$V_{c} = \frac{\pi}{3}\cdot r^{2}\cdot h$ (1)

Where:

$r$ - Base radius, measured in inches.

$h$ - Height, measured in inches.

And the ice cream ball is described by the volume equation for the sphere ( $V_{s}$ ), measured in cubic inches:

$V_{s} = \frac{4\pi}{3} \cdot R^{3}$ (2)

Where $R$ is the radius of the ice cream ball, measured in inches.

In this case, the ice cream will fit into the cone if and only if $V_{s} \le V_{c}$ . That is:

$\frac{4\pi}{3}\cdot R^{3} \le \frac{\pi}{3}\cdot r^{2}\cdot h$

$4\cdot R^{3} \le r^{2}\cdot h$

If we know that $r = 0.875\,in$ , $h = 4\,in$ and $R = 1.25\,in$ , then the inequation is:

$4\cdot (1.25\,in)^{3}\le (0.875\,in)^{2}\cdot (4\,in)$

$6.25\,in^{3}\le 3.063\,in^{3}$ (CRASH!)

Which leads to an absurd. Hence, the cone would not the all of the ice cream fit into the cone.

5 0

3 years ago