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melomori [17]
2 years ago
12

What number is 150 more than the product of 5 and 4892

Mathematics
1 answer:
Serjik [45]2 years ago
7 0
The number that is 150 more than the product of 5 and 4892 is 24700
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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

#SPJ1

8 0
1 year ago
Find the volume of the prism.​
Tomtit [17]

Answer:

4.375cm

Step-by-step explanation:

You have to look at what volume equals Volume= l×w×h so 3/2 × 5/4 × 7/3

5 0
3 years ago
What is the value of h?<br> h = 20<br> h=35<br> h = 70<br> (2h)<br> (2h)
postnew [5]

Answer:

-7/2 or -3.5

Step-by-step explanation:

h = 20 = h = 35  = h = 70  (2h)  (2h)

19h = 35h = 70(2h)(2h)

16h = 70(2h)(2h)

-70 = 20h

-7/2 = h

-3.5 = h

7 0
2 years ago
Explain what mistake was made in the problem below and what should be the
romanna [79]

Answer:

Instead of moving the 3x to the opposite side of the equation they moved the 2x. And the correct answer is x=-6 not x=6.

Step-by-step explanation:

Student Work:

2(x + 4) – 8 = 3x+10-4

2x + 8–8 = 3x + 6

2x = 3x + 6

- 3x – 3x

X = 6

My work:

2(x+4)-8=3x+10-4

2x+8-8=3x+6

2x=3x+6

-x=6

x=-6

7 0
3 years ago
Find the area; reduce to lowest terms:
tamaranim1 [39]
Area = length x width

area = 2 3/4 x 2/5

area = 1 1/10 feet :)
5 0
2 years ago
Read 2 more answers
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