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pogonyaev
3 years ago
12

Using the binomial theorem, expand the expression (4 + y) to the power of 4

Mathematics
1 answer:
Flauer [41]3 years ago
8 0

Answer:

When raised to the power of 4, the binomial (4 + y) expands to:

y^4 + 16y^3 + 96y^2 + 256y + 256

Step-by-step explanation:

(4 + y)^4 \\= (y^2 + 8y + 16)^2\\= y^4 + 8y^3 + 16y^2 + 8y^3 + 64y^2 + 128y + 16y^2 + 128y + 256\\= y^4 + 16y^3 + 96y^2 + 256y + 256

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O.6 as a mixed number
ella [17]

Answer:

3/5

Step-by-step explanation:

To make 0.6 as a fraction (you can't make it a mixed number because there is no number to the left of the point) place a 1 under it to make it a fraction:

0.6/1

Since you can't have a decimal on a fraction, multiply by 10;

0.6/1 × 10/10 =6/10

Simply your answer (6/10) to get 3/5

6 0
3 years ago
An experiment consist of rolling 3 fair dice (1 red die, a blue die, and a white die) and recording the number rolled on each di
Setler79 [48]
In 1, t<span>here are 6 outcomes for each die, so for three dice, the total combination is 6 x 6 x 6 = 216 outcomes. Hence, t</span><span>he probability of any individual outcome is 1/216 </span>

The outcomes that will add up to 6 are 
<span>1+1+4 </span>
<span>1+4+1 </span>
<span>4+1+1 </span>
<span>1+2+3 </span>
<span>1+3+2 </span>
<span>2+1+3 </span>
<span>2+3+1 </span>
<span>3+1+2 </span>
<span>3+2+1 </span>
<span>2+2+2 </span>

<span>Hence the probability is </span><span>10/216 </span>

In 3, the minimum sum of the three dice is 3. so we start with this 
<span>P(n = 3) </span>
<span>1+1+1 ; </span><span>1/216 </span>

<span>P(n = 4) </span>
<span>1+1+2 </span>
<span>1+2+1 </span>
<span>2+1+1 ; </span><span>3/216 </span>

<span>P(n = 5) </span>
<span>1+1+3 </span>
<span>1+3+1 </span>
<span>3+1+1 </span>
<span>1+2+2 </span>
<span>2+1+2 </span>
<span>2+2+1; </span><span>6/216 

The sum in 3 is 10/216 or 5/108</span>
3 0
3 years ago
A​ chef's specialty calls for ​one- fiftieth of an ounce of a spice per serving. The chef has a digital scale that shows the wei
Anna35 [415]

Answer:

The scale reading that the chef need to see for this spice when preparing the specialty for 43 people is 0.86.

Step-by-step explanation:

In order to find the answer, you need to multiply the amount that the chef uses per serving for the number of servings. The statement indicates that the chef uses ​one- fiftieth of an ounce of a spice per serving and this is represented as 1/50 and you have to multiply this for 43 that is the number of people.

You can find 1/50 as a decimal dividing 1 by 50:

1/50=0.02

Now, you can multiply this value for 43:

0.02=43=0.86

According to this, the answer is that the scale reading that the chef need to see for this spice when preparing the specialty for 43 people is 0.86.

3 0
2 years ago
Graph.<br><br> f(x)=2|x+2|+1<br><br> Use the Ray tool to graph the absolute value function.
Anna007 [38]

Answer:

|

x

−

2

|

+

1

 is

(

2

,

1

)

Step-by-step explanation:

3 0
2 years ago
Find the force it would take to accelerate an 800-kg car at a rate of 5 m/s^2.
Mars2501 [29]
800/5 which is 160!!!!!!!!
5 0
3 years ago
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