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Andrej [43]
3 years ago
10

C(x)=4x-2 and d(x)=x^(2)+5, what is (c*d)(x)

Mathematics
1 answer:
lawyer [7]3 years ago
5 0

Answer:4x^3-2x^2+20x-10

Step-by-step explanation:

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An equation is shown below: 8(2x – 14) + 13 = 4x – 27 Part A: Write the steps you will use to solve the equation, and explain ea
blsea [12.9K]
1) Distribute 8(2x-14) + 13 = 4x - 27 then simplify like terms to get: 16x - 99 = 4x - 27.
2) Subtract 4x on both sides and at the same time add 99 to both sides to get: 12x=72.
3) Divide both sides by 12 to get x=6.
PART B: 6 makes the equation true because you just solved for it.
8 0
3 years ago
Two flat, circular plates are placed on a circular tabletop. The diameter of each plate is equal to the radius of the table top.
erastovalidia [21]
A=pR^2-2pr^2, since R=15 and r=7.5

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6 0
3 years ago
If AC=5cm, BC=12cm, and m AC= 40 degrees what is the radius of the circumscribed circle
melamori03 [73]
Let's assume they meant C=40 degrees.  With an angle like that they're asking for approximation; we'll oblige.

The circumradius is the product of the triangle sides divided by four times the area.

Here we have remaining side given by the Law of Cosines.

AB^2 = AC^2 + BC^2 - 2\ AC \ BC \cos C

AB^2 = AC^2 + BC^2  - 2 AC \ AB \cos C = 5^2 + 12^2 - 2(5)(12) \cos 40^\circ

AB = \sqrt{  169 - 120 \cos 40 ^\circ}  \approx 8.77921789

The area is \frac 1 2\ AC \ BC \sin C = \frac 1 2 (5)(12) \sin 40^\circ \approx 19.283628



The circumradius is  r \approx \dfrac{(5)(12)(8.77921789 )}{ 4 (19.283628) }  = 6.829019329




5 0
3 years ago
The area of a parallelogram is 125 square inches and the height of the parallelogram is 10 inches. What is the lenght of the bas
Tasya [4]
12.5 inches is the answer
5 0
3 years ago
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How many different seven-letter sequences can be formed from the letters a, a, a, a, a, b, c?
Kaylis [27]

If b is in the first position then c can be in any 1 of the remaining 6 positions.

If we start with ab then the letter c can be in any one of 5 positions and  if we have aab there are 4 possible positions for c and so on.

So the total number of possible sequences where b comes first = 6+5+4+3+2+1 =  21.

The same argument applies when c comes before b  so that gives us 21 ways also.

So the answer is 2 *21 = 42 different sequences.

A more direct way of doing  this  is to use factorials:-

answer = 7! / 5!     =  7 * 6 = 42.

 ( We divide by 5!   because of the 5 a's.)

4 0
3 years ago
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