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3 years ago

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An athlete trains for 75 mins each day for as many days as possible write an equation that relates the number of days d that the

athlete spends training when the athlete trains for 375 mins

1 answer:

BartSMP [9]3 years ago

3 0

The answer would be"75d=375" because we know how many minutes in all and how many a minutes a day. so we need to figure how many days would it take

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Find parametric equations for the line through point P(-4,5,2) in the direction of the vector (-6,6,-5)

tigry1 [53]

The vector <em>v</em> (-6, 6, -5) points in the direction of itself, so we start there.

We can capture all points on the line through the origin and the point (-6, 6, -5) by scaling <em>v</em> by an arbitrary real number <em>t</em>.

The line through point <em>P</em> and pointing in the same direction as <em>v</em> is parallel to the other line that passes through the origin. Then the line we want can be obtained by translating the line through the origin by a vector <em>p</em> that points to (-4, 5, 2), so the vector equation for this line is

<em>r </em>(<em>t </em>) = <em>p</em> + <em>t v</em>

<em>r </em>(<em>t </em>) = (-4, 5, 2) + <em>t</em> (-6, 6, -5)

<em>r </em>(<em>t </em>) = (-4 - 6<em>t</em>, 5 + 6<em>t</em>, 2 - 5<em>t</em> )

To get the parametric equations, simply take out the components:

<em>x</em> (<em>t</em> ) = -4 - 6<em>t</em>

<em>y </em>(<em>t</em> ) = 5 + 6<em>t</em>

<em>z</em> (<em>t</em> ) = 2 - 5<em>t</em>

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3 years ago

Rick has 1/2 of a footlong sub left from yesterday. He ate 1/3 of the leftover sandwich as a snack. What fraction of the entire

Alecsey [184]

Answer:2/6

Step-by-step explanation: because 1+1=2 and then you find the lcm of 2and3 then u get your aanswer

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3 years ago

Mathematical connection A lighthouse casts a revolving beam of light as far as the pier

Alexandra [31]

The light's coverage area is given mathematically as i.e. Area= $\pi d^{2}$

Given that a lighthouse casts a revolving beam of light as far as they peir and asked the area is covered.

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I.e. it forms a circle-like region

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Let's assume the distance traveled by light as "d"

as it forms a circular region, it forms a circle of radius "d"

Mathematical connection i.e. area of the region

⇒area of circular region= $\pi d^{2}$ {where d is the radius of region}

Learn more about area here:

brainly.com/question/27683633

#SPJ9

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2 years ago

Calculus question....does anyone know how to solve this?

iogann1982 [59]

$h(x)=(f\circ g)(x)$
$\sqrt{x+5}=\sqrt{g(x)+2}$
$x+5=g(x)+2$
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Just to check this is correct:

$(f\circ g)(x)=f(g(x))=f(x+3)=\sqrt{(x+3)+2}=\sqrt{x+5}=h(x)$

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3 years ago

Point W is on line segment VX. given VW=3 and VX=14, determine the length WX

r-ruslan [8.4K]

Answer:11

Step-by-step explanation:14-3=11

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4 years ago