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vaieri [72.5K]
3 years ago
6

Factor p^4-81 completely showing all work.

Mathematics
1 answer:
3241004551 [841]3 years ago
8 0

Answer:

Step-by-step explanation:

p^4-81=(p^2)^2-9^2=(p^2+9)(p^2-9)=(p^2-9(-1))(p+3)(p-3)\\=(p^2-9i^2)(p+3)(p-3)\\=(p+3i)(p-3i)(p+3)(p-3)

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Jose owes his brother $50. He promises to pay his brother back $5 each week until his debt is paid off. Represent the relationsh
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Answer:

it will take 10 weeks for him to pay his brother completly

Step-by-step explanation:

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3 years ago
Why is it important for a rainy-day fund to be highly liquid? A. Funds need to earn a high rate of return. B. Funds need to be e
Gnoma [55]

Answer: B. Funds need to be easily accessible

This is so you can access it easily without paying a penalty

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2 years ago
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3 and 1 half to the power of 2 simplify
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3 and 1 half is also known as 3.5,
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A mixture of compounds X and Y in a 0.100-cm cell had an absorbance of 0.215 at 272 nm and 0.191 at 327 nm. Find [X] and [Y] in
Oksi-84 [34.3K]

Answer: The concentration of X is 7.13582\times 10^{-6} and the concentration of Y is 2.53159\times 10^{-5}.

Step-by-step explanation:

Since we have given that

At 272 nm, absorbance = 0.215

At 327 nm, absorbance = 0.191

As we have given that

                               Compound X             Compound Y

272                               16400                            3870

327                                3990                             6420

So, our equations becomes

16400C_1+3870c_2=0.215\\\\3990C_1+6420C_2=0.191

By solving these two equations, we get that

C_1=7.13582\times 10^{-6}\\\\C_2=2.53159\times 10^{-5}

Hence, the concentration of X is 7.13582\times 10^{-6} and the concentration of Y is 2.53159\times 10^{-5}.

5 0
3 years ago
Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 29% each week. The following function represents
Dmitry [639]

Answer:

Option A. f(x)=86[1.04]^{x} ; grows approximately at a rate of 0.4% daily

Step-by-step explanation:

we have

f(x)=86(1.29)^{x}

where

f(x) the number of weeds in the garden

x ----> the number of weeks

Calculate how quickly the weeds grow each day

Remember that a week is equal to seven days

so

f(x)=86(1.29)^{\frac{x}{7}}

Using the law of exponents

b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x

so

f(x)=86[(1.29)^{\frac{1}{7}}]^{x}

f(x)=86[1.04]^{x}

therefore

The rate is approximately

1.04=1+r

r=1.04-1=0.04=4% daily

8 0
3 years ago
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