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tekilochka [14]
3 years ago
5

Which expressions are equivalent to 2 ( b + 3 c ) 2(b+3c)2, left parenthesis, b, plus, 3, c, right parenthesis ? Choose all answ

ers that apply:
Mathematics
1 answer:
ch4aika [34]3 years ago
3 0

Answer:

2(b + 3c)²(b + 3c)² is equivalent to

2b^4 + 8b³c + 12b²c² + 8b²c³ + 2c^4

Step-by-step explanation:

The expression

2(b + 3c)²(b + 3c)²

Is equivalent to the expression

2(b + 3c)^4

This can be further expanded using the Pascals triangle as

2(b^4 + 4b³c + 6b²c² + 4b²c³ + c^4)

= 2b^4 + 8b³c + 12b²c² + 8b²c³ + 2c^4

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scores on the act college entrance exam follow a bell-shaped distribution with mean 18 and standard deviation 6. Wayne's standar
WITCHER [35]

Answer:

His actual score is 15

Step-by-step explanation:

Here, we are interested in calculating Wayne’s actual score on the ACT

when we say the scores have being standardized, it means the score was reported in terms of the z-score and not the initial raw scores.

Now, mathematically, for the scores to have a negative z-score, it means it is actually below the mean.

The formula for the z-score or standard score is given below;

z-score = (x - mean)/SD

where in this case, x = ? which is the score we are looking for , z-score = -0.5 , mean score = 18 and standard deviation of the scores = 6

So, substituting these values into the z-score equation, we have;

-0.5 = (x-18)/6

x-18 = 6(-0.5)

x -18 = -3

x = -3 + 18

x = 15

7 0
3 years ago
on Thursday, 30 students went to after-school tutoring. On Friday, 6 students went. What is the percent decrease in the number o
joja [24]
Hey there! :)

The answer is 80%

6 ÷ 30 = 0.2 = 20%

100 - 20 = 80

Hope this helped :)
4 0
3 years ago
 Evaluate the polynomial function p (x) = 2x4 - 3x2 + x - 1 to find p (-1).
Alisiya [41]
p(x)=2x^4-3x^2+x-1\\\\
Substitude\ p=-1\ into\ equation\\\\
p(-1)=2x^4-3x^2+x-1=2*(-1)^4-3(-1)^2-1-1=\\2*1-3*1-2=2-3-2=-3\\Answer\ p(-1)=-3
7 0
3 years ago
A kitchen sink faucet streams 0.5 gallon of water in 10 seconds. A bathroom sink faucet stream 0.75 gallon of water in 18 second
Masteriza [31]

Answer:

kitchen sink faucet stream

Step-by-step explanation:

with kitchen sink faucet you fill 0.05gallons of water per second you get that by dividing 0.5 by 10

and the bathroom sink faucet does 0.041gallons of water per second you get that by dividing 0.75 by 18

7 0
3 years ago
The ratio of boys to girls in Mr. Baker's social studies class is 2 to 3. If there are 30 total students in the class, how many
astraxan [27]

Answer:

12

Step-by-step explanation:

1st of all we should let the ration of boys to girls be 2x and 3x.

After that we should make the sum between 2x and3×and the sum of 2numbers is equal to 30

i.e.2x+3x=30

Then ,by solving this eqation we get the value of x=6

After that put the value of x in the number of boys

i.e.

2x=2×6=12

Hence ,the number of boys is 12

7 0
3 years ago
Read 2 more answers
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