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never [62]
1 year ago
13

The diameter of the base of a water bottle is 3 1/2 inches. What is the length on inches of the diameter of 6 of these water bot

tles?
Mathematics
1 answer:
olga_2 [115]1 year ago
3 0

Answer:

21

Step-by-step explanation:

3.5 x 6 = ?

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What are the correct answers and why? Simple and concise explanation please!!!
dezoksy [38]

Answer:

\large\boxed{-\bigg[(x-3)^2+2x\bigg]+1}\\\\\boxed{-x^2+4x-8}

Step-by-step explanation:

(g\ \circ\ f)(x)=g\bigg(f(x)\bigg)

f(x)=(x-3)^2+2x\\\\g(x)=-x+1\\\\g\ \circ\ f\to\text{put f(x) instead of x in the function g(x)}:\\\\(g\ \circ\ f)(x)=-\bigg[\underbrace{(x-3)^2+2x}_{x}\bigg]+1

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

-\bigg[(x-3)^2+2x\bigg]+1=-(x-3)^2-2x+1\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=-(x^2-(2)(x)(3)+3^2)-2x+1=-(x^2-6x+9)-2x+1\\\\=-x^2-(-6x)-9-2x+1=-x^2+6x-9-2x+1\\\\\text{combine like terms}\\\\=-x^2+(6x-2x)+(-9+1)=-x^2+4x-8

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

-x^2+4x-8=-x^2+4x-2^2+2^2-8=-(x^2-4x+2^2)+4-8\\\\=-(\underbrace{x^2-(2)(x)(2)+2^2}_{(a-b)^2=a^2-2ab+b^2})-4=-(x-2)^2-4=-(x+1-3)^2-4

In\ (-x+1-3)^2+2x,\ x^2\ will\ be\ positive.\\In\ (-x+1-3)^2+2(-x+1),\ x^2\ will\ be\ positive.

6 0
3 years ago
Read 2 more answers
Find the missing lengths!!!!!!!
Katen [24]

Answer:

13

Step-by-step explanation:

It is a square so the length of 1 side = \sqrt{169} =  13

5 0
2 years ago
11. Little Sally Walker has a choice between going to an in-state college where she would pay
nalin [4]

Answer:

Step-by-step explanation:

Lets calculate first for in state college

yearly tuition fees = $3,500

monthly living expense = $700

one year has 12 months so yearly living expense =$700 * 12 = $8,400

Yearly expense of the in state college = yearly tuition fees ($3,500 )+ yearly living expense($8,400)   = $3,500 + $8,400  = $11,900

____________________________________________________

Lets calculate first for  out of state college

yearly tuition fees = $6,000

monthly living expense = $400

one year has 12 months so yearly living expense =$400 * 12 = $4,800

Yearly expense of the out of state college = yearly tuition fees ($3,500 )+ yearly living expense($8,400)   = $6,000 + $4,800  = $10,800

____________________________________________________

3 0
3 years ago
Can someone please help me i will give free 50 points
Grace [21]

Would it be 11 and 12?

6 0
2 years ago
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A model airplane has a scale of 2 in: 9 yards. If the wing span of the model airplane is 18 inches, how many yards is the actual
mote1985 [20]

Answer:

81 yards

Step-by-step explanation:

8 0
3 years ago
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