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miv72 [106K]
3 years ago
10

The populations P (in thousands) of a certain town in North Carolina, from 2006 through 2012 can be modeled by

Mathematics
2 answers:
DaniilM [7]3 years ago
6 0
Look it up on Google hope this helps :)
scoundrel [369]3 years ago
4 0

Answer:

  • k= 0.8936
  • P = 53198890

Step-by-step explanation:

<u>In 2008</u>

  • t = 8
  • P= 7000

<u>As per equation, P = 5.5e^kt</u>

  • 7000 = 5.5e^(8k)
  • e^(8k) = 7000/5.5
  • e^(8k) = 1272.7272
  • ln e^8k = ln 1272.7272
  • 8k = 7.14891
  • k= 7.14891/8
  • k= 0.8936

<u>In 2018, t= 18, k= 0.8936</u>

  • P = 5.5e^(18*0.8936)
  • P = 53198890
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When the factor of a trinomial are (X+P) and (x+q) then coefficient of the x-term in the trinomial is A The sum of p and q B the
Marianna [84]
The answer should be A, the sum of p and q.

Plug in a value for p and q to figure this out.
Here, I'm using 4 for p and 5 for q.

(x+4)(x+5)
x^2+5x+4x+20
x^2+9x+20

Here, the coefficient for the x term is 9 and 9 is the sum of p and q (4+5).
8 0
4 years ago
Read 2 more answers
The new club sticker is in the shape of a triangle. It has a height of 8 inches and a base of 10 inches. The area of the club st
rusak2 [61]

Answer:

40 square inches.

Step-by-step explanation:

It is given that the new club sticker is in the shape of a triangle.

Height of triangle = 8 inches

Base of triangle = 10 inches

We need to find the area of sticker.

Area of triangle =\dfrac{1}{2}\times base \times height

Substitute base = 10 and height = 8 in the above formula.

Area of triangle =\dfrac{1}{2}\times 10\times 8

Area of triangle =\dfrac{80}{2}

Area of triangle =40

Therefore, the area of the club sticker is 40 square inches.

5 0
4 years ago
A. 5x - 2 = 8<br>b. 4x - 3= 2x + 9<br>C. 6x + 3 = 2x + 8​
Elena L [17]

Answer:

a) x=2

b)x=12

c)x=5/4

Step-by-step explanation:

a)5x-2=8

5x=8+2

5x=10

x=2

b)4x-3=2x+9

4x-2x=9+3

2x=12

x=6

c)6x+3=2x+8

6x-2x=8-3

4x=5

x=5/4

Proof:

a)5x-2=8

5(2)-2=8

10-2=8

8=8

b)4x-3=2x+9

4(12)-3=2(12)+9

48-3=24+9

45=45

c)6x+3=2x+8

6(5/4)+3=2(5/4)+8

30/4+3=10/4+8

15/2+3=5/2+8

10.5=10.5

Hope this helps ;) ❤❤❤

4 0
3 years ago
PLEAZE HELP IM FAILING THIS CLASS 9) The volume of a box is represented by x' +11x² + 20x – 32. The width of the box is x – 1, a
In-s [12.5K]

Answer:

Step-by-step explanation:

Volume of the box  =  x³ +11x² + 20x – 32        I think the ' is a typo for ³

      the width is x-1    and the height is x+8      

Find an expression for the length

       Vol = LWH    solve L

        Vol / (WH)   =  L     so

L  =  (x³ +11x² + 20x – 32) / (x-1) (x+8)      

                    so it would help to factor the numerator

       (x³ +11x² + 20x – 32)       I'm willing to bet (x-1) and  (x+8) are factors

                                               but I will plot the equation to find the three roots

        (x³ +11x² + 20x – 32)  = (x-1) (x+8) (x+4)

L  =  (x³ +11x² + 20x – 32) / (x-1) (x+8)

   =  (x-1) (x+8) (x+4) / (x-1) (x+8)           the (x-1) and (x+8) cancel out leaving

L =   (x + 4)

7 0
3 years ago
What is -4-(-12)? I don't know if you add them or subtract.
algol [13]
You subtract negative 4 and negative 12...think in a number line and you find negative 4 and then you decrease( which means you move to your left of the number line) and find negative 12 and then you count the spaces you took to get to negative 12
7 0
3 years ago
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