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2 years ago

Find the second derivative of r(x)=10x-0.001x^2

Mathematics

1 answer:

alex41 [277]2 years ago

8 0

Answer:

-0.002.

Step-by-step explanation:

The first derivative r'(x) = 10 - 2*0.001x^(2-1)

= 10 - 0.002x

The second derivative r"(x)

= -0.002.

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The amount of radioactive element remaining, r, in a 100mg sample after d days is represented using the equation r=100(1/2) d/5.

Ludmilka [50]

Answer:

12.94%

Step-by-step explanation:

r = 100(1/2)^(d/5) = 100((1/2)^(1/5))^d ≈ 100(.87055)^d

The daily decrease is 1 - 0.87055 = 0.12944 ≈ 12.94%

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2 years ago

A roller coaster has four cars each with the same number of seats. these are 21 passengers seated in the roller coaster, but 3 s

belka [17]

Given:

Number of passengers seated in the roller coaster = 21

Empty seats = 3

Number of cars in roller coaster = 4 (each with the same number of seats)

To find:

An equation that can be used to determine the number of seats in each car.

Solution:

Let s be the number of seats in each car.

Total number of seats in 4 cars = 4s

Using the given information,

Total number of seats = Occupied seated + Empty seats

= 21 + 3

= 24

Now, the required equation is

$4s=24$

Therefore, the required equation is $4s=24$ .

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$s=\dfrac{24}{4}$

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Therefore, the number of seats in each car is 6.

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2 years ago

Olivia’s age plus twice John’s age is 30. Three times Olivia’s age plus 8 times John’s age is 108. How old are Olivia and John?

andrezito [222]

Answer:

John is 9 and Olivia is 12

Step-by-step explanation:

12+18= 20

36+ (9x8)= 108

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2 years ago

The equations 3(4x) = (4x)3 illustrates which property?

viktelen [127]

The property illustrated is the Commutative Property

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3 years ago

Read 2 more answers

19. A quadratic equation is shown below.

victus00 [196]

Answer:

$\{\sqrt b, -\sqrt b\}$

Step-by-step explanation:

Given

$a^2 - b = 0$

Required

Determine the solution

Since b is a perfect square, the equation can be expressed as:

$a^2 - (\sqrt b)^2 = 0$

Apply difference of two squares:

$(a - \sqrt b)(a + \sqrt b) = 0$

Split:

$(a - \sqrt b)= 0 \ or\ (a + \sqrt b) = 0$

Remove brackets:

$a - \sqrt b= 0 \ or\ a + \sqrt b = 0$

Make a the subject in both equations

$a =\sqrt b \ or\ a =-\sqrt b$

The solution can be represented as:

$\{\sqrt b, -\sqrt b\}$

6 0

2 years ago

Find the second derivative of r(x)=10x-0.001x^2​

Find the second derivative of r(x)=10x-0.001x^2