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weeeeeb [17]
3 years ago
12

(a) Identify the percent of change as an increase or decrease. 2 dogs to 4 dogs

Mathematics
1 answer:
sergiy2304 [10]3 years ago
6 0

Answer:

this is a percent of change increase.

Step-by-step explanation:

you want to use the formula,

new value - original value

____________________

        original value               * 100

now that we wrote the formula down, you substitute the numbers in. 2 is the original value and 4 is the new value.

4 - 2

____

  2   * 100

2

_

2 * 100

now that we find the amount of change, we could do this in two ways. divide the fraction first then multiply that by 100 OR multiply the numerator by 100 first then divide that by the denominator.

first way :

2

_

2  * 100

1 * 100 = 100% increase

second way :

2

_

2  * 100

200

___

 2  = 100% increase

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I don't understand rational and irrational numbers
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A rational number is a number which can be expressed as a fraction whose numerator and denominator are both integers and whose denominator is not equal to zero. Rational numbers include all integers, fractions, mixed numbers, and some decimal numbers.

 

Note : All terminating and repeating decimal numbers are rational numbers because those numbers can be expressed as a fraction. On the other hand, a non repeating number and non terminating decimal, like square root of 2, is an irrational number.  


\dfrac{7}{16} \ as \ a \ decimal = 0.4375


Set \ up \ the \ long \ division. 


Calculate \ 70 \div 16, \ which \ is \ 4  \ with \ a \ remainder \ of \ 6.




Bring \ down \ 0, so \ that \ 60 \ is \ large \ enough \ to \ be  \ divided \ by \ 16.




Calculate \ 60 \div 16, which \ is \ 3 \ with \ a  \ remainder \ of \ 12.




Bring \ down \ 0, so \ that \ 120 \ is \ large \ enough \ to \ be \ divided \ by \ 16.




Calculate \ 120 \div 16, which \ is \ 7 \ with \ a \ remainder \ of \ 8.




Bring \ down \ 0, so \ that \ 80 \ is \ large \ enough \ to \ be \ divided \ by \ 16.



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4 0
3 years ago
Between which pair of numbers is the exact product of 379 and 8?
AnnZ [28]
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It's between (any number less than 3,032) and (any number greater than 3,032).

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5 0
3 years ago
What is the equation of the line that is perpendicular to the
kotegsom [21]

Answer:

y=x-6

Step-by-step explanation:

The x-intercept is found replacing y = 0, as follows:

<u>Function:</u> y = -3x + 8

x-intercept:

0 = -3x + 8  

3x = 8

x = 8/3

<u>Function</u>: y = -3x + 6

x-intercept:

0 = -3x + 6

3x = 6

x = 6/3 = 2

<u>Function</u>: y = -x - 8  

x-intercept:

0 = -x - 8  

x = -8

<u>Function</u>: y = x - 6

x-intercept:

0 = x - 6

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The last option is the only one in which x-intercept is x = 6.

7 0
3 years ago
Simplify: cos2x-cos4 all over sin2x + sin 4x
GrogVix [38]

Answer:

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)

Step-by-step explanation:

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}

Apply formula:

\cos\left(A\right)-\cos\left(B\right)=-2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right) and

\sin\left(A\right)+\sin\left(B\right)=2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)

We get:

=\frac{-2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\sin\left(\frac{2x-4x}{2}\right)}{2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\cos\left(\frac{2x-4x}{2}\right)}

=\frac{-\sin\left(\frac{2x-4x}{2}\right)}{\cos\left(\frac{2x-4x}{2}\right)}

=\frac{-\sin\left(\frac{-2x}{2}\right)}{\cos\left(\frac{-2x}{2}\right)}

=\frac{-\sin\left(-x\right)}{\cos\left(-x\right)}

=\frac{-\cdot-\sin\left(x\right)}{\cos\left(x\right)}

=\frac{\sin\left(x\right)}{\cos\left(x\right)}

=\tan\left(x\right)

Hence final answer is

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)

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