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kykrilka [37]
3 years ago
8

Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 8% each week. The following function represents t

he weekly weed growth: f(x) = 86(1.08)x. Rewrite the function to show how quickly the weeds grow each day.
Mathematics
2 answers:
ElenaW [278]3 years ago
7 0

Answer:

  g(x) = 86·1.011055^x

Step-by-step explanation:

So we don't confuse ourselves, we'll call the growth function by day g(x). If x is to represent days, then x/7 represents weeks, and we can write ...

  g(x) = f(x/7) = 86·1.08^(x/7)

  g(x) = 86·(1.08^(1/7))^x

  g(x) = 86·1.011055^x

rjkz [21]3 years ago
4 0

Answer: Option threee

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PLEASE HELP!!!
Aliun [14]

Answer:

a. 8.75 M NaOH

b. 0.425 M CuCl₂ or 0.43 M CuCl₂

c. 0.067 M CaCO₃ or 0.07 M CaCO₃

Step-by-step explanation:

Molality is computed using the formula:

M = \dfrac{Moles\:of\:solute}{Liters\:of\:solution}

So first thing you need to do is determine how many moles of solute there are and divide it by the solution in liters.

Converting mass to moles, you need to get the mass of each solute per mole. You can use the periodic table to get the atomic mass (which is the grams per mole of each atom) of each of the elements involved. Then add them up and you will have how many grams per mole of each compound.

1. 35.0g of NaOH in 100ml H₂O

Element         number of atoms            atomic mass           TOTAL

Na                              1                   x             22.99g/mol  =    22.99g/mol

O                                1                   x             16.00g/mol   =    16.00g/mol

H                                1                   x                1.01g/mol   =<u>       1.01g/mol</u>

                                                                                                 40.00g/mol

This means that the molecular mass of NaOH is 40.00 g/mol

Then we use this to convert 35.0g of NaOH to moles:

35.0g \:of\:NaOH \times \dfrac{1\:mole\:of\:NaOH}{40.00g\:of\:NaOH} = \dfrac{35.0\:moles\:of\:NaOH}{40.00}=0.875\:moles\:of\:NaOH

Now that you have the number of moles we divide it by the solution in liters. Before we can do that you have to conver 100ml to L.

100ml\times\dfrac{1L}{1000ml} = 0.1 L

Then we divide it:

\dfrac{0.875\:moles\:of\:NaOH}{0.1L of solution} = 8.75M\: NaOH

2. 20.0g CuCl₂ in 350ml H₂O

Element         number of atoms            atomic mass           TOTAL

Cu                              1                   x             63.55g/mol  =    63.55g/mol

Cl                               2                   x             34.45g/mol   =   <u>70.90g/mol</u>

                                                                                                134.45g/mol

20.g\:of\:CuCl_2\times\dfrac{1\:mole\:of\:CuCl_2}{134.45\:g\:of\:CuCl_2}=0.1488\:moles\:of\:CuCl_2

350ml = 0.350L

\dfrac{0.1488\:moles\:of\:CuCl_2}{0.350L\:of\:solution}=0.425M\:CuCl_2

3. 3.35g CaCO₃ in 500ml

Element         number of atoms            atomic mass           TOTAL

Ca                              1                   x             40.08g/mol  =    40.08g/mol

C                                1                   x              12.01g/mol   =    12.01g/mol

O                                3                  x              16.00g/mol   =<u>   48.00g/mol</u>

                                                                                                100.09g/mol

3.35g\:of\:CaCO_3\times\dfrac{1\:mole\:of\:CaCO_3}{100.09\:g\:of\:CaCO_3}=0.0335\:moles\:of\:CaCO_3

500ml = 0.5L

\dfrac{0.0335\:moles\:of\:CaCO_3}{0.5L}=0.067M\:CaCo_3

4 0
3 years ago
Shawna is practicing typing. She types 456 words in 10 minutes.If she types the same number of words each minute how many words
Svetradugi [14.3K]

Answer:

456 / 10 = <u>45.6</u>

So the answer lies between <u>45</u> and <u>46</u>.

6 0
3 years ago
Read 2 more answers
Adele has 3 64-ounce cartons of orange juice and 3 48-ounce cans of apple juice. How much juice does she have altogether?
Readme [11.4K]
She has 6 ounce of cans
7 0
4 years ago
Find each equation and then graph the line. x 2y=8
daser333 [38]
Y=8/2
y=4!!!!!!!!!!!!!!!!!
7 0
3 years ago
If x2 = 60, what is the value of x?
MArishka [77]

Answer:

x = ±2sqrt(15)

Step-by-step explanation:

x^2 = 60

Take the square root of each side

sqrt(x^2) = ±sqrt(60)

x = ±sqrt(60)

x = ±sqrt(4 *15)

x = ±2sqrt(15)

7 0
3 years ago
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