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LiRa [457]
3 years ago
8

Choose the correct simplification of the expression (7ab3)2.

Mathematics
2 answers:
Brums [2.3K]3 years ago
7 0
You can use this equation to help you: (ab)^2 = a^2 b^2. And also (a^m)^n = a^m*n

So, here it is:

(7ab^3)^2 = 7^2 a^2 b^3*2 = 49a^2b^6

The correct answer is the third one - 49 a^2 b^6.
Katena32 [7]3 years ago
3 0

Answer:

The correct answer is the third one - 49 a^2 b^6.

Step-by-step explanation:

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The sales of homes in a new development have been increasing. In January, 5 homes were sold, in February,
Rama09 [41]

Answer: a_n=7n-2

Step-by-step explanation:

Let we consider sales of home in January as first term for sequence, then sales in February will be 2nd term and so on.

According to the given information, we have

First term : a_1=5

Second term :a_2= 12=5+7

Third term : a_3= 19=12+7

We can see that, Common difference = 7

Explicit rule for Arithmetic sequence :

a_n=a_1+(n-1)d

Put a_1=5 and d=7

a_n=5+(n-1)7\\\\ a_n=5+7n-7\\\\ a_n=7n+5-7\\\\ a_n=7n-2

The required  explicit rule that can be used to find the number of homes sold in the nth month of the year : a_n=7n-2

8 0
4 years ago
Read 2 more answers
In need of assist, been on this question for a while now and don't know what to do, if someone can tell me the answer, I will ap
andrey2020 [161]
I'm not sure but my best guess would be C. $6244.86
6 0
3 years ago
A closing is March 5 for a rental property with an annual tax bill of $2800. Calculate and show the debit and credits for the ta
kicyunya [14]

Answer:

The debit and credits for the tax proration will be as follows:

Debit seller for $483.29; and Credit buyer for $483.29.

Step-by-step explanation:

The assignment of how much is owed to the responsible party is the major reason of a proration.

For the days owned by the seller, the buyer needs money from the seller since the buyer will pay the taxes at end of the year.

Amount per day = Annual tax bill / 365 = $2800 / 365 = $7.67

Total number of days from January 1 to a day before March 5 = Number of days in January + Number of days in February + Number of days from March 1 to March 4 = 31 + 28 + 4 = 63

Amount the seller owes for the time he owned = Amount per day * Total number of days from January 1 to a day before March 5 = $7.67 * 63 = $483.29

Therefore, the debit and credits for the tax proration will be as follows:

Debit seller for $483.29; and Credit buyer for $483.29.

8 0
3 years ago
The revenue from selling xshirts is r(x) = 12x.
algol [13]

Answer:

D. p(x)=7x-20

Step-by-step explanation:

r(x) = 12x\\c(x) = 5x + 20\\p(x) = r(x)-c(x)\\p(x)=12x-(5x+20)\\p(x)=12x-5x-20\\p(x)=7x-20

Simply subtract the two functions from each other and simplify to get the result.

4 0
4 years ago
Explain how these three models are related
Romashka [77]
They are related, because they are both 100 blocks, and when you add them together it equals 300. So that's why I think they are related.
6 0
3 years ago
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