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Galina-37 [17]
4 years ago
12

A scientist measured the energy of a system and found that it was increasing. The data shown represent the energy taken every bi

llionth of a second. Time (nanoseconds) 0 1 2 3 Energy (Joules) 2.654 6.290 14.909 35.335 Classify the type of growth the scientist observed. 1)linear 2)quadratic 4)exponential 5)logarithmic
Mathematics
2 answers:
Setler [38]4 years ago
5 0

At start ( t = 0 nanoseconds ) :

E ( t = 0 ) = 2.645 J

E ( t = 1 ) = 6.290 J

E ( t = 1 ) : E ( t = 0 ) = 6.290 : 2.645 = 2.37

Also:

E ( t = 2 ) : E ( t = 1 ) = 14.909 : 6.290 = 2.37

E ( t = 3 ) ; E ( t = 2 ) = 35.335 : 14.909 = 2.37

E ( t ) = 2.645 * 2.37 ^ t

The answer is 4) exponential growth.

DiKsa [7]4 years ago
3 0

At start ( t = 0 nanoseconds ) :

E ( t = 0 ) = 2.645 J

E ( t = 1 ) = 6.290 J

E ( t = 1 ) : E ( t = 0 ) = 6.290 : 2.645 = 2.37

Also:

E ( t = 2 ) : E ( t = 1 ) = 14.909 : 6.290 = 2.37

E ( t = 3 ) ; E ( t = 2 ) = 35.335 : 14.909 = 2.37

Therefore, the formula for calculating the energy of the system is:

E ( t ) = 2.645 * 2.37 ^ t

The answer is 4) exponential growth.


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Determine if the relation below is a function and state the domain and range.
LUCKY_DIMON [66]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the relation

{(1, -2), (-2, 0), (-1, 2), (1, 3)}

Please note that there is a repetition of x-values.

i.e. x=1 appears twice times.

This relation does not define a function because every x-value should have been unique and is associated with only one value of y.

Here, the x-values are repeated. Hence, this relation is not a function.

Finding the Domain of a relation:

We know that the domain is the complete set of all first elements of ordered pairs often called x-coordinates.

Domain of a relation: {-1, -2, 1}

<u>Note: Domain is in ascending order and repeated elements are written only once.</u>

Finding the Range of a relation:

We know that the domain is the complete set of all second elements of ordered pairs often called y-coordinates.

Range of a relation: {-2, 2, 3}

<u>Note: Range is in ascending order and repeated elements are written only once.</u>

7 0
3 years ago
Evalua cada expresion si m=9 &amp; n=4<br><br> 6mn=<br><br> m+5n=<br><br> n/2-1=<br><br> m^2/(n+5)
Alborosie
6mn= 216

m+5n= 29

n/2-1= 1

m^2/(n+5)= 9
7 0
3 years ago
How do you solve:<br>18(18)=x(x+15)
ehidna [41]
Hello!

18(18)=x(x+15)

The parentheses indicate multiplication; the 18(18) on the left side of the equation is 18 * 18. On the right side of the equation, you have x(x + 15); to simplify this, you would distribute the x--that means multiply each term inside the parentheses by x. This is the Distributive Property: a(b + c) = ab + ac. Let's do that.

18(18)=x(x+15)
324= x^{2} +15x

Now, you can subtract 324 from each side to set the equation equal to 0.

324= x^{2} +15x
324-324= x^{2} +15x-324
0= x^{2} +15x-324

This is a quadratic equation; to solve it, we may factor (if the equation is able to be factored) or we can use the Quadratic Formula. Let's see if we can factor. To factor, find two numbers whose sum is 15 and whose product is -324. Since 324 is negative, we know one of the numbers is negative and one of the numbers is positive (a negative times a positive is always negative), and that means one of the numbers is greater than 15...

27 - 12 = 15
27 * -12 = -324

The factored polynomial is: (x + 27)(x - 12).

To find its solutions, set the factors equal to 0 and solve for x.

x + 27 = 0
x = -27

x - 12 = 0
x = 12

Answer:
The solution of 18(18)=x(x+15) is -27 and 12.
7 0
4 years ago
Given angle 1 is congruent to angle 2 and angle 3 is congruent to angle 4 prove p is parallel to r
Anestetic [448]
What am I answering tho because p can be parallel to r by AA theorem
3 0
3 years ago
I need the steps on how to get the answer!! ​
sergey [27]

Answer:

( 36 ) inches^2

Step-by-step explanation:

To find the area of non-geometric shapes we have to divide it into different segment ( image attached below)

Step 1: Area A

= 5 x 2

= 10 inches ^2

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= 4 x 4

= 16 inches ^2

Step 3: Area C

= 5 x 2

= 10 inches ^2

Step 4:  Total area ( add all)

= ( 10 + 16 + 10 ) inches ^2

= ( 36 ) inches ^ 2

4 0
3 years ago
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