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Goryan [66]
3 years ago
9

What is 6 3/4 - 2 3/12=

Mathematics
1 answer:
Grace [21]3 years ago
5 0

Answer:

4.5

Step-by-step explanation:

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NEED HELP..... Select the polynomial that is a perfect square trinomial. 36x^2 − 4x + 16 16x^2 − 8x + 36 25x^2 + 9x + 4 4x^2 + 2
Iteru [2.4K]
<h3>Answer: Choice D.  4x^2 + 20x + 25</h3>

===============================================

Explanation:

Perfect square trinomials are in the form (a+b)^2 = a^2+2ab+b^2

So the first and last terms must be perfect squares. The middle term is twice that of the square roots of each first and last term.

Choice D fits the description because 4x^2 = (2x)^2 is the first term, so a = 2x and 25 = 5^2 is the last term meaning b = 5. Note how 2ab = 2*2x*5 = 20x is the middle term.

-------------

(a+b)^2 = a^2+2ab+b^2

(2x+5)^2 = (2x)^2+2*2x*5+5^2

(2x+5)^2 = 4x^2 + 20x + 25

8 0
3 years ago
Read 2 more answers
An ordinary fair die is a cube with the numbers one through six on the sides represented by painted that. Imagine that such a di
Solnce55 [7]

Answer:

ok so what i think your trying to ask is if we roll two dice that the sum will be more then 6

Two dice

Assuming that the dice are unbiased or not " loaded".

Each side has the same probability, is 1/6 =0.16667, to turn up when rolled, if the die (D) is unbiased. The probability of a side turning up on D1 when 2 dice ( D1,D2) are rolled, is independent of the side turning up in D2. So this is an independent event.

How many ways can one get a sum total of 6 if D1 &D2 are rolled at the same time?

These are the possibilities

Case 1.

D1 =1 & D2=5

Or

D1= 5 & D2=1

Case 2.

D1 =2 & D2=4

Or

D1= 4 & D2= 2

Case 3. D1=3, D2=3

P3 =0.027778

Let's say, P 1 the probability for case 1 and P2 for case 2. There are no other cases.

The final probability P and is the sum total P = P1 + P2 + P3 the probability law of mutually exclusive events.

P1= 0.02778+ 0.02778 =0.055558

P2= 0.02778+0.02778 =0.055558

Same way,

P3=0.027778, when there is only one way to get the sum 6.

So, P = 0.138894

Based on truncating at the sixth decimal place.

A visual representation with two unbiased dice and the possible cases would also give the same result and is a short cut method. I like to derive from the basics.

Hope This Helps!!!

6 0
3 years ago
What is the diameter of a circle with a circumference of 132 ft? Use 22/7 for PIE.
Andrej [43]

Answer:

42

Step-by-step explanation:

6 0
2 years ago
The linear function y = 1.2x represents Alberto’s speed, y, in meters per minute, when his stride rate is x steps per minute.
notsponge [240]
The slope is the rate in which he is moving and the y-intercept is where he started (at 0 seconds and 0 meters).
4 0
3 years ago
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Simplify: log base 3 (1/3) ...?
yarga [219]
The answer is 1.

log_3( \frac{1}{3} )
_____
Since log_y(x) =  \frac{log_{10}(x)}{log_{10}(y)}, then: log_3( \frac{1}{3} )= \frac{log_{10} ( \frac{1}{3}) }{log_{10}(3)}
_____
Since \frac{1}{x} = x^{-1}, then: \frac{log_{10} ( \frac{1}{3}) }{log_{10}(3)} = \frac{log_{10}(3^{-1} )}{log_{10}(3)}
_____
Since log x^{a} =a*logx, then: \frac{log_{10}(3^{-1} )}{log_{10}(3)}= \frac{-1*log_{10}(3)}{log_{10}(3)}

From here: \frac{-1*log_{10}(3)}{log_{10}(3)}=-1*\frac{log_{10}(3)}{log_{10}(3)}=-1*1 = -1

6 0
3 years ago
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