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Xelga [282]
3 years ago
10

What value of x is in the solution set of 2(3x - 1) 24 - 6?

Mathematics
1 answer:
Juliette [100K]3 years ago
6 0

Answer:

Step-by-step explanation:

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A certain compound has a half-life of four days. Write and use an exponential decay function to find the amount of compound rema
dimaraw [331]

Answer:

1.97 ounces

Step-by-step explanation:

-The exponential decay function is given by the formula:

P_t=P_oe^{-rt}\\\\

Given that the half-life is 4 days, we can substitute in the formula to solve the rate of decay for a single half-life:

P_t=P_oe^{rt}\\\\P_t=0.5P_o\\\\\therefore 0.5=e^{-4r}\\\\-4r=In(0.5)\\\\r=0.17329

#Since, 1 week has 7 days, 3 weeks is a 21-day period, thus, t=21.

#We substitute and solve for the amount remaining after 21days of decay:

P_t=P_oe^{-rt}\\\\=75e^{-21\times 0.17329}\\\\=1.97072\\\\\approx1.97 \ oz

Hence, the amount remaining after 3 weeks of decays is approximately 1.97 ounces

4 0
3 years ago
D is the midpoint of CE. If CD= 2x+10 and DE =3x-18, find x and CE<br><br> x=<br> CE=
Veseljchak [2.6K]

Answer:

<h2>x = 28</h2><h2>CE = 132</h2><h2 />

Step-by-step explanation:

|<------------- CE -------------------->|

C-------------------D-------------------E

       2x + 10              3x - 18

2x + 10 = 3x - 18

2x - 3x = -18 - 10

-x = -28

x = 28

CE = 2x + 10 + 3x - 18

CE = 2(28) + 10 + 3(28) - 18

CE = 56 + 10 + 84 - 18

CE = 132

3 0
3 years ago
Is the point (1,5) a solution to the equation below?
allochka39001 [22]

Answer:

A. No

Step-by-step explanation:

y = 2x + 4

(5) = 2(1) + 4

5 = 2 + 4

5 = 6 (false statement)

7 0
2 years ago
Given the parent function of y=IxI, state the type of transformation that occured to get the function below.
aksik [14]
B. Shift down

y=|x| --------> Red
y=|x|-3 -----> Green


7 0
3 years ago
patty is building a rope ladder for a tree house. she need two 5-foot pieces of rope the sides of the ladder.she needs 7 pieces
klio [65]
The answer is 136 because 7 x 18 is 126 then + 10 is 136
5 0
3 years ago
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