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Anni [7]
3 years ago
13

1/2(4x-2)-2/3(6x+9) greater or equal to 4

Mathematics
1 answer:
Simora [160]3 years ago
8 0
1/2(4x-2)-2/3(6x+9)
(2x-1)-(4x+6)
2x-1-4x+62x-4x-1+6
-2x+5=2.5
So I believe that it is greater than 4
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What is the answer to 8k-4(k-1)+7-k
seropon [69]
8k-4k+4+7-k = 
8k-4k-k+4+7 = 
3k+11
8 0
3 years ago
Read 2 more answers
The projected rate of increase in enrollment at a new branch of the UT-system is estimated by E ′ (t) = 12000(t + 9)−3/2 where E
nexus9112 [7]

Answer:

The projected enrollment is \lim_{t \to \infty} E(t)=10,000

Step-by-step explanation:

Consider the provided projected rate.

E'(t) = 12000(t + 9)^{\frac{-3}{2}}

Integrate the above function.

E(t) =\int 12000(t + 9)^{\frac{-3}{2}}dt

E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+c

The initial enrollment is 2000, that means at t=0 the value of E(t)=2000.

2000=-\frac{24000}{\left(0+9\right)^{\frac{1}{2}}}+c

2000=-\frac{24000}{3}+c

2000=-8000+c

c=10,000

Therefore, E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000

Now we need to find \lim_{t \to \infty} E(t)

\lim_{t \to \infty} E(t)=-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000

\lim_{t \to \infty} E(t)=10,000

Hence, the projected enrollment is \lim_{t \to \infty} E(t)=10,000

8 0
3 years ago
Find the perimeter of the semicircle when diameter is 3.5 cm. (1 Point)
Feliz [49]

● Answer:

8.995 cm

● Step-by-step explanation:

P = d + L/2

d = 3.5 cm

L/2 = 2pi×r/2

= pi×d/2

= 3.14×3.5/2

= 5.495 cm

P = 3.5cm + 5.495

= 8.995 cm

8 0
4 years ago
TIME REMAINING
erik [133]

Answer:

$1,131.20 is the amount earned

Step-by-step explanation:

<u>Key skills needed: Simple Interest Formula, Operations ( +, - , x , / )</u>

1) To understand this problem, you need to know the simple interest formula.

A = P(1+rt)

A is the amount

P is the principal

R is the interest rate as a decimal

T is the time in years

2) The 1st thing we need to do is convert the interest rate into a decimal. We have 14%. To convert into decimal form, we divide it by a 100, or move the decimal 2 places to the left. This is 0.14 --> So r=0.14

3) Next we use the formula:

A = 1,010(1+ 0.14(8))

  1. We first do 0.14(8) which is 1.12 and then add it to the 1 value, so you will get --> A = 1,010(2.12)
  2. Multiply and you will get A = $2,141.20
  3. To find the interest earned, you subtract this by the original amount, so $2,141.20 - $1,010 which would be $1,131.20

This means $1,131.20 is your answer.

<em>Hope you understood and have a nice day!! :D</em>

8 0
3 years ago
What is<br> |-3+45-(-14)|+(-|-87+12/46|<br> simplified
USPshnik [31]
|x|=absoulte value of x  which means whatever x is, make it positive
so first solve any division/multiplication

the only one is 12/46=6/23
so we do the absoulte value signs
-3+45-(-14)
-(-14)=+14
-3+45+14=56
absoulute value of 56=56

56+(-|-87+6/23|)
-87+6/23=-86 and 17/23
absoulte value of -86 and 17/23=86 and 17/23
there is a negative sign in front of the absoulte vaulue so make it negative
56-86 and 17/23=-30 and 17/23 or about -30.73913
4 0
3 years ago
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