Answer:
We will add 3 to each side of the equation
Step-by-step explanation:
x^2 − 8x + 13 = 0
We want to complete the square
We will subtract 13 from each side of the equation
x^2 -8x +13 -13 = 0 -13
x^2 -8x = -13
Then take the coefficient of x
-8
Divide by 2
-8/2 = -4
Square it
(-4)^2 = 16
Add this to each side
x^2 -8x +16 = -13+16
( x-4) ^2 = 3
The sum of subtracting 13 and adding 16 is adding 3
<u>In young children, some brain cells have a </u>plasticity <u>that enables them to take over the functions of damaged or </u><u>missing brain cells.</u>
- Option E is correct as of the meaning of plasticity the quality of being easily shaped or moulded.
- So according to meaning option E can be filled in the blank.
- Option A is incorrect which means weak
- Option B is incorrect which means a story told about past events remembered by the author.
- Option C means having a very harmful or effect.
- Option D is out as meaning unusual or strange in a very annoying or funny way.
Hence E is a suitable answer.
What is plasticity explain?
Plasticity, ability of certain solids to flow or to change shape permanently when subjected to stresses of intermediate magnitude between those producing temporary deformation, or elastic behaviour, and those causing failure of the material, or rupture (see yield point).
Learn more about plasticity
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The answer would be 5 cuz 5 x 40 = 200
Answer:
Step-by-step explanation:
Let the rate at which the bacteria grow be represented by the exponential equation
P(t) = P0e^kt
P(t) is the population of the bacteria after time t
P0 is the initial population
k is the constant of variation
t is the time
If the initial Population is 160 bacteria's, them the equation becomes;
P(t) = 160e^kt
b) if After 5 hours there will be 800 bacteria, this means
at t = 5 p(t) = 800
Substitute and get k
800 = 160e^5k
800/160 = e^5k
5 = e^5k
Apply ln to both sides
Ln5 = lne^5k
ln5 = 5k
k = ln5/5
k = 0.3219
Next is to calculate the population after 7hrs i.e at t = 7
P(7) = 160e^0.3219(7)
P(7) = 160e^2.2532
P(7) = 160(9.5181)
P(7) = 1522.9
Hence the population after 7houra will be approximately 1523populations
c) To calculate the time it will take the population to reach 2790
When p(t) = 2790, t = ?
2790 = 160e^0.3219t
2790/160 = e^0.3219t
17.4375 = e^0.3219t
ln17.4375 = lne^0.3219t
2.8587 = 0.3219t
t = 2.8587/0.3219
t = 8.88 hrs
Hence it will take approximately 9hrs for the population to reach 2790
Answer:
The cost of 6 cans of soup = $7.8
Step-by-step explanation:
The cost of 10 cans of soup = $13
The number of cans needed for the soup = 6
Now, Cost of 1 can of soup =
= $13 / 10 =$1.3
⇒The cost of 1 can of soup is $1.3
Now, The cost of 6 cans of soup = 6 x Cost of 1 can
⇒ 6 x $1.3 = $7.8
Hence, the cost of 6 cans of soup = $7.8
