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mote1985 [20]
4 years ago
12

PLEASE HELP ME ASAAAAAPPPPPPPPPPPP PLEASE HELP ME FAST What is 5 x 2/3 ? A) 3 1/3 B) 3 2/5 C) 5 2/3 D) 10/15

Mathematics
2 answers:
harkovskaia [24]4 years ago
6 0

Answer:

Step-by-step explanation:

IF you calculate it right it is 3.3333333 or 3 1/3

katrin2010 [14]4 years ago
5 0

Answer:

A) 3 1/3

Step-by-step explanation:

5 x 2 = 10

10/3= 3 with a remainder of 1. That gives you 3 1/3

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DIA [1.3K]

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Step-308by-step explanation:

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For the array given in FindDuplicateCount.java, which index is the last check we need to make to count all the duplicates? 5. In
kykrilka [37]

Answer:

a) 101010 as a base 2 number is the same as 42 in base 10 and 2A in base 16

b) 42 as a base 10 number is same as 101010 in bases 2 and 2A in base 16

c) 2A as a base 16 number is same as 101010 in base 2 and 42 in base 10

Step-by-step explanation:

a) When interpreting 101010 as a base 2 number, convert to bases 10 and 16;

First convert 101010 from base 2 to base 10

We number the digit from the rightmost digit starting from 0 and we have the following index:

1 = 5, 0 = 4, 1 = 3, 0 = 2, 1 = 1, 0 = 0

The we expand in the power of the index to base 2

= (1*2^{5}) + (0*2^{4}) + (1*2^{3}) + (0*2^{2}) + (1*2^{1}) + (0*2^{0})\\= (1 * 32) + (0 * 16) + (1 * 8) + (0 * 4) + (1 * 2) + (0 * 1)\\= 32 + 0 + 8 + 0 + 2 + 0\\= 42

Then convert to base 16: divide base 10 by 16

42 ÷ 16 = 2 remainder 10(A)

2 ÷ 16 = 0 remainder 2

Reading the remainder bottom-up; we have 2A. 10 is represented as A in Base 16.

b) When interpreting 101010 as a base 10 number, convert to bases 2 and 16;

101010 in base 10 = 42

Converting to base 2

42 ÷ 2 = 21 remainder 0

21 ÷ 2 = 10 remainder 1

10 ÷ 2 = 5 remainder 0

5 ÷ 2 = 2 remainder 1

2 ÷ 2 = 1 remainder 0

1 ÷ 2 = 0 remainder 1

Reading the remainder bottom-up; we have 101010 in base 2

Then convert to base 16: divide base 10 by 16

42 ÷ 16 = 2 remainder 10(A)

2 ÷ 16 = 0 remainder 2

Reading the remainder bottom-up; we have 2A. 10 is represented as A in Base 16.

c) When interpreting 101010 as a base 16 number, convert to bases 2 and 10

Converting from base 16 to base 10; we expand in the power of the index:

2A = (2 * 16^{1} ) + (A * 16^{0})\\2A = (2 * 16^{1} ) + (10 * 16^{0})\\2A = (2 * 16 ) + (10 * 1)\\2A = 32 + 10\\2A = 42

Converting to base 2

42 ÷ 2 = 21 remainder 0

21 ÷ 2 = 10 remainder 1

10 ÷ 2 = 5 remainder 0

5 ÷ 2 = 2 remainder 1

2 ÷ 2 = 1 remainder 0

1 ÷ 2 = 0 remainder 1

Reading the remainder bottom-up; we have 101010 in base 2

4 0
3 years ago
Identify the quadratic function from the four functions
Alchen [17]

Quadratic Function is a function that takes the equation form of:

\large \boxed{y = a {x}^{2}  + bx + c}

where a ≠ 0. However the form of Quadratic Function above can also be called "standard form" or general form because it is commonly used when defining the function. Quadratic Functions also have other two forms which are intercept form and vertex form.

<u>Vertex</u><u> </u><u>Form</u>

\large \boxed{y = a {(x - h)}^{2}  + k}

<u>Intercept</u><u> </u><u>Form</u>

\large \boxed{y = (ax - b)(bx - c)}

The intercept form can be expressed as y = (x-a)(x-b) depending on the other perspective.

If you look at all four functions, you will notice that only two of functions have the second degree as highest degree while the third function has third degree as highest and fourth function has fourth degree. Recall the definition of Quadratic Function above that the highest degree of Quadratic Function can only be second degree (squared, x² as example). Therefore we can rule out the x³ and -2x⁴ away.

So our only quadratic functions are:

\large{ \begin{cases}y =  -  {x}^{2}  - 4 \\ y =  {(x - 1)}^{2}  - 7 \end{cases}}

As for the f(x) = -x²-4. The equation is in standard form which is y = ax²+bx+c. The second equation is in vertex form which is y = a(x-h)²+k.

Answer

  • The only quadratic functions are f(x) = -x²-4 and f(x) = (x-1)²-7
  • -x²-4 is in standard form.
  • (x-1)²-7 is in vertex form.

Hope this helps and let me know if you have any doubts.

<em>Als</em><em>o</em><em> </em><em>let</em><em> </em><em>me</em><em> </em><em>know</em><em> </em><em>if</em><em> </em><em>you</em><em> </em><em>want</em><em> </em><em>me </em><em>t</em><em>o</em><em> </em><em>convert</em><em> </em><em>the</em><em> </em><em>function</em><em> </em><em>into</em><em> </em><em>other</em><em> </em><em>form</em><em>.</em><em> </em><em>For</em><em> </em><em>ex</em><em>.</em><em> </em><em>convert</em><em> </em><em>the</em><em> </em><em>vertex</em><em> </em><em>form</em><em> </em><em>to</em><em> </em><em>standard</em><em> </em><em>form</em><em>.</em><em> </em>

Happy Learning and Good Luck with your assignment!

4 0
3 years ago
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