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gtnhenbr [62]
3 years ago
15

Coefficient of b in expansion of (3+b)^4

Mathematics
1 answer:
Margarita [4]3 years ago
4 0
Are you sure you want ONLY the coefficient of b?  If you expand this, you will have b in 3 of 4 terms.

According to Pascal's Triangle, the coefficients of (a+b)^4 are as follows:

                             1
                        1    2    1
                   1      3    3     1
              1       4     6     4     1

So (a+b)^4 would be 1a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4

Here, you want (3 + b)^4.  Here's what that looks like:

3^4 + 4[3^3*b] + 6[3^2*b^2] + 4[3*b^3] + 1[b^4]

Which coeff did you want?
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if you make a scale drawing of a tree using the scake 5in =27ft uf the tree is 67.5 ft tall how tall is the scale drawing
shtirl [24]
To get from 27 to 67.5 you multiply 27 by 2.5 so you need to do the same to the 5
5x2.5=12.5
=12.5in
3 0
3 years ago
Is 0.75 greater than 0.100?
Naya [18.7K]
Yes because you only need to look at the first decimal for problems like these and the first number you see a seven and a one and seven is greater than one
8 0
3 years ago
The snowiest city receive an average of 113.9 more inches of snow than the second snowiest city. The second snowiest city reciev
steposvetlana [31]

Answer:

The snowiest city receive 347.7 inches on average each year.

Step-by-step explanation:

We want to find the amount of snow the snowiest city receives on average every year, "x". It is known that this city receives 113.9 more inches than the second snowiest, which receives 223.8 inches on average every year. Therefore, the expression for "x" is:

x = 233.8 + 113.9\\x = 347.7 \text{ inches}

The snowiest city receive 347.7 inches on average each year.

6 0
3 years ago
The expression -5p + 20 factored is<br> factor out the coefficient of the variable
krek1111 [17]

Answer: -5(p-4)

Step-by-step explanation: The coefficient of a variable is the number multiplying it. To factor it, take the coefficient out and put it outside the parantheses. However, if you do that, make sure you take that coefficient out of all of your other terms!

6 0
3 years ago
tarik starts a morning walk at 7:00 am. his distance, in miles, to the nearby grocery store after x hours is f(x)
Grace [21]

Total distance walked by Tarik is 0.75 miles according to the given equation.

What is equation?

In arithmetic, an equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.

Main body:

Given that

The expression that represents the Tarik's distance is

=>  f(x) = 3∣x−0.5∣

And also given that at 7.15 am he is some distance away from the store

Let Tarik is 'a' miles away from the store at 7.15 am

The time taken to walk 'a' miles = 7.15 - 7.00 = 15 minutes

As we know 60 minutes = 1 hr

=> 15 minutes = 15/60 = 0.25 hrs  

The given expression to find the Distance is

f(x) = 3 ∣x − 0.5∣    where x is number of hours

At x = 0.25

f(0.25) = 3 |0.25 - 0.5|

= 3 |- 0.25|

= 0.75 miles

Therefore,Tarik is 0.75 miles away from the store.

To know more about equation , visit:

brainly.com/question/22688504

#SPJ4

8 0
1 year ago
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