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kupik [55]
3 years ago
5

What value of k makes the equation true?

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
8 0
When you multiply exponents, Your add them so you need to add 4 and 2 to get 6. The answer would be C
BartSMP [9]3 years ago
3 0

we have

(5a^{2} b^{3} )(6a^{k}b)=30 a^{6}b^{4}

Multiply the left side and then compare with the right side

(5a^{2} b^{3} )(6a^{k}b)

Combine like terms

(5*6)(a^{2}*a^{k})(b^{3}*b)\\=(30)(a^{k+2})(b^{4})

Compare with the right side

(30)(a^{k+2})(b^{4})=30 a^{6}b^{4}

so

(a^{k+2})=a^{6}

k+2=6

solve for k

k=6-2=4

therefore

<u>the answer is the option C</u>

4

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3x -2 &gt; -11<br><br> (The &gt; has an underscore under it)
user100 [1]

3x-2\geq-11

3x\geq-9

x\geq-3

x\in[-3, \infty)

Hope this helps.

7 0
3 years ago
Please Help, 35 Points.
Andrei [34K]

To answer this question, we have the start-up costs of $ 52,000

A monthly inflation of $ 0 is assumed

Operating costs  are $680

The daily gain  is $960

For the Part A.

The inequality that this situation represents

 960d-680d>52000

So:

d(960-680)>52000

Where d represents the number of days.

For the Part B.

To start earning, you must replace all the initial investment and cover the expenses per day. The time that must pass for this to happen is obtained by clearing "d" from the inequality.


 d>\frac{52000}{960-680}

d> 185.71 days

Then, the sum of the net profits will be greater than the initial investment after 186 days of starting the business.

4 0
3 years ago
Sole m-2/12=1/6<br> a.4<br> b.1<br> c.0<br> d.2
riadik2000 [5.3K]
The answer would be A. 4
Here’s what I would do.
Multiply both sides by 12 so u can get m- 2 by itself.
m-2= 2
How’d I get the two? It comes from when I multiplied 12 on both sides. 12/6= 2
Now ur equation should be
m-2=2
Do the opposite and add two to both sides to get the variable by itself.
m=4

Hope this helps :)))
7 0
3 years ago
Half a foot by a quarter of a foot by 3/4 of a foot fraction
JulsSmile [24]

Step-by-step explanation:

x×1/2×1/4×3/4

x×3/32

3/32x

5 0
2 years ago
The Bluejay Apartments is a new development and is in the process of structuring its lease agreements. The company would like to
Zepler [3.9K]

Answer:

The Bluejay Apartments

1. Tax Effects of the following Alternatives:

i. $1,000 damage deposit with no rent prepayment

No tax will be paid by The Bluejay Apartments until the deposit will no longer be refunded.

ii. $500 damage deposit and $500 rent for the final month of the lease

Tax will be paid on the rental income of $500 and on the $500 if it will no longer be refunded.  If it is taken as part of the rent income for a month, then tax will be paid on a total income of $1,000.

iii. $1,000 rent for the final two months of the lease and no damage deposit

Tax will be paid on the rent income of $1,000.

b) From a tax point of view, option i is recommended.

Step-by-step explanation:

According to the IRS, a security or damage deposit is not taxable when it is received by the landlord.  It becomes taxable income when the landlord is no longer obligated to return it to the tenant.  The reason a damage deposit is not taxed is that it is recorded as an asset and not an expense or income.

5 0
3 years ago
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