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Luda [366]
3 years ago
6

Find the quotient. h^ 6 ÷h

Mathematics
2 answers:
Arada [10]3 years ago
6 0
h^6:h=h^{6-1}=\boxed{h^5}
masha68 [24]3 years ago
6 0

Answer:

the quotient of the given expression is, h^5

Step-by-step explanation:

Use the exponent rule:

\frac{a^n}{a^m}=a^{n-m}

Given the expression:

h^6 \div h

⇒\frac{h^6}{h}

Apply the exponent rules we have;

h^{6-1}

Simplify:

h^5

therefore, the quotient of the given expression is, h^5

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What is 18 rounded to the nearst 1/4
Elina [12.6K]

Answer:

18

Step-by-step explanation:

1/4 is close to 0 so 18 rounded to the nearest ones place is just 18

8 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=n%20-%205%20%5Cleqslant%205n%20-%201" id="TexFormula1" title="n - 5 \leqslant 5n - 1" alt="n -
ANTONII [103]
Hello there!

n - 5 ≤ 5n - 1

Solve for n

Let's start by subtracting 5n from both sides

n - 5 - 5n ≤ 5n - 5n - 1

n - 5 - 5n ≤ -1

We need to transfer -5 on the other side, we can do that by adding 5 on both sides

n - 5 - 5n + 5 ≤ -1 + 5

n - 5n ≤ -4

-4n ≤ -4

Finally divide both sides by -4

-4n/-4 ≤ -4/-4

n ≥ -1   (This is the answer)!

Do you know why I changed the sign?


 A lot of students failed to remember that rules, which is:
When you are solving an inequality, if you divide both sides by a negative sign, you MUST change the symbol as well. If it was this <, it will change to this >. Got it? Cool!



I hope the steps are clear to understand. If you have questions, feel free to let me know...

As always, I am here to help!
7 0
3 years ago
I can’t figure this out at all.
Liula [17]
The fact that this triangle is a right angle triangle makes you now have 2 angles and the 1 side given, so it should be solvable.
First, You know that A=46 and C=90 as it is the right angle, and you know that the sum of any triangle's angles is 180. so now B=180-(90-46)=44
Now to the sides,
sin(B)=opp./hyp.=b/c=8/c=sin(44)
so, c=8/sin(44) which is approximately 11.52 unit length
now, use Pythagoras to find a,
a=√c²-b² =√11.52²-8² which is approximately 8.3 unit length.
Hope this helps.

6 0
3 years ago
On the day after my birthday this year, I can truthfully say: "The day after tomorrow is Monday". On which day is my birthday?
andriy [413]

Answer: Friday

Step-by-step explanation:

5 0
2 years ago
What is 2logx−logy+2logz written as a single logarithm? log(xz)^2/y log2x/2yz logx^2y/z^2 logx^2/yz^2
Klio2033 [76]

Answer: \log\dfrac{x^2z^2}{y}

Step-by-step explanation:

Properties of logarithm:

(i)\ \ n\log a = a^n\\\\ (ii)\ \ \log m +\log n =\log (mn)\\\\ (iii)\ \ \log m-\log n =\log\dfrac{m}{n}

Consider,

2\log x-\log y+2 \log z\\\\ =\log x^2-\log y+\log z^2\ \ \ \ \text{[By (i)]}\\\\= \log x^2+\log z^2-\log y\\\\=\log(x^2z^2)-\log y\ \ \ \ [\text{By } (ii) ]\\\\=\log(\dfrac{x^2z^2}{y})    \ \ \ \ [\text{By (iii)}]

3 0
3 years ago
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