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3 years ago

5

For any positive integer X, let the symbol X, refer to lcm[12,X]. What is the largest value among the numbers 2,4,6,8,10,

and 12*?

1 answer:

babunello [35]3 years ago

6 0

12 since it is greater than the rest of the numbers

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A particle is moving along the curve y= 4sqrt(5x+11) . As the particle passes through the point (5,24) , its -coordinate increas

kupik [55]

The rate of change of the distance from the particle to the origin at this instant is 3 units per second.

<h3>What is the rate of change?</h3>

The instantaneous rate of change is the rate of change at a particular instant.

A particle is moving along the curve

$y= 4\sqrt{5x+11} .$

The rate of change of y is given as:

dy / dx = 2

by differentiating both sides,

$\dfrac{dy}{dx} = 4\dfrac{1}{2\sqrt{5x+11} } 5\dfrac{dx}{dt} \\\\\dfrac{dy}{dx} = \dfrac{10}{\sqrt{5x+11} }\dfrac{dx}{dt}\\\\$

From the question, we have:

(x, y) = (5,24)

Substitute 5 for x and dy / dx = 2

$\dfrac{dy}{dx} = \dfrac{10}{\sqrt{5x+11} }\dfrac{dx}{dt}\\\\\\5= \dfrac{10}{\sqrt{5(5)+11} }\dfrac{dx}{dt}\\\\\\\sqrt{5(5)+11} = 2\dfrac{dx}{dt}\\\\\\\dfrac{dx}{dt} = 6/ 2 = 3$

Hence, the rate of change of the distance from the particle to the origin at this instant is 3 units per second.

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1 year ago

What is the answer for 5x1+2?<br> I

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Answer:

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3 years ago

As the payroll manager for a particular company, your task is to complete the following weekly payroll record. The company pays

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The total weekly pay of the company is $754.98

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The overtime is the excess of total hours, which is 47 hours, over the regular hours of 40 hours of work a week, in essence, overtime hours is 7(47-40)

Overtime rate=regular hour pay*1.5

regular hour pay=$14.95

overtime rate=$14.95*1.5

overtime rate=$22.425

overtime pay for 7 hours=7*$22.425

overtime pay for 7 hours=$156.98

The regular pay is 40 hours of regular time multiplied regular pay per hour

regular pay=$14.95*40

regular pay=$598.00

total pay=regular pay+overtime

total pay=$598.00+$156.98

total pay=$754.98

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1 year ago

A sphere is just enclosed inside a right circular cylinder. If the volume of the sphere is 140 cm3, find the volume of the gap b

alexgriva [62]

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Find Radius :
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$\text {Volume of a sphere =} \dfrac{4}{3} \pi r^3$

$\dfrac{4}{3} \pi r^3 = 140$

$\pi r^3 = 140 \times \dfrac{3}{4}$

$\pi r^3 = 105$

$r^3 = \dfrac{105}{ \pi}$

$r = 3.22 \ cm$

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Find volume of the cylinder :
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$\text {Volume of the cylinder = } \pi r^2h$

$\text {Volume of the cylinder = } \pi ((3.22)^2(3.22 \times 2)$

$\text {Volume of the cylinder = } 209.77 \ cm^3$

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Find volume of the gap :
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$\text {Volume of gap = } 209.77 - 140$

$\text {Volume of gap = } 69.77 \ cm^3$

-----------------------------------------------------------
$\bf \text {Answer : } 69.77 \cm^3$
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3 years ago