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3 years ago

13

2. The duration of the ride is 15 min. (a) How many times does the last passenger who boarded the ride make a complete loop on t

he Ferris wheel

1 answer:

nlexa [21]3 years ago

6 0

Answer: 23

Step-by-step explanation:

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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.

Read more about rates of change at:

brainly.com/question/13103052

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8 0

2 years ago

You have $5.85 to buy bananas to make banana bread. A banana costs $0.39. Which inequality represents the number x of bananas yo

Llana [10]

Hi!

So x represents the number of bananas we can buy. Now let's set up the inequality.

0.39x ___ 5.85

Since we can't go greater than 5.85, we can use that less than or equal to sign.

0.39x ≤ 5.85
^ the answer

Hope this helps! :)

4 0

3 years ago

Read 2 more answers

A water tank that holds 60 l of water can be emptied in 24 min. how long will it take to empty a water tank that holds 280 l of

galina1969 [7]

To empty 280 liters would take 112 minutes.

8 0

3 years ago

Find the value of the expression 8x↑3 if: x=3

NeX [460]

Answer:

216

Step-by-step explanation:

8x³

Put x as 3 in the expression.

8(3)³

Solve the power.

8(27)

Multiply.

= 216

6 0

3 years ago

H(x) = x^2+6 g(x) = 8x-5 <br><br> show that hg(x)=19 simplifies to 16x^2 - 20x + 3 = 0

Studentka2010 [4]

Answer:

h(x)=x²+6 and g(x)=8x-5

prove that hg(x)=19

Step-by-step explanation:

step 1: hog(x)=h[g(x)]

step 2: h(8x-5)

step 3: h(8x-5)= (8x-5)²+6

step 4: (8x-5)(8x-5)+6

step 5: 16x² +15x +6

6 0

3 years ago