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RoseWind [281]
3 years ago
15

Simplify √7/18 please help √14/7 √14/6 √6/14

Mathematics
1 answer:
Mrac [35]3 years ago
4 0

Answer:

14/6

Step-by-step explanation:

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Help pleaseeeeeeeeeeeeeeeeeeeeeee
bixtya [17]

Answer:  \bold{(1)\ \dfrac{19,683}{64}\qquad (2)\ 16}

<u>Step-by-step explanation:</u>

(1)           (12, 18, 27, ...)

The common ratio is:

r=\dfrac{a_{n+1}}{a_n}\quad r =\dfrac{18}{12}=\boxed{\dfrac{3}{2}}\quad \rightarrow \quad r=\dfrac{27}{18}=\boxed{\dfrac{3}{2}}

The equation is:

a_n=a_o(r)^{n-1}\\\\Given:a_o=12,\  r=\dfrac{3}{2}\\\\\\Equation:\\a_n =12\bigg(\dfrac{3}{2}\bigg)^{n-1}\\\\\\\\9th\ term:\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{9-1}\\\\\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{8}\\\\\\.\quad =\large\boxed{\dfrac{19643}{64}}

(2)\qquad \bigg(\dfrac{1}{16},\dfrac{1}{8},\dfrac{1}{4},\dfrac{1}{2}\bigg)\\\\\\\text{The common ratio is}:\\\\r=\dfrac{a_{n+1}}{a_n}\quad  r=\dfrac{\frac{1}{8}}{\frac{1}{16}}=\boxed{2}\quad \rightarrow \quad r=\dfrac{\frac{1}{4}}{\frac{1}{8}}=\boxed{2}

The equation is:

a_n=a_o(r)^{n-1}\\\\Given:a_o=\dfrac{1}{16},\  r=2\\\\\\Equation:\\a_n =\dfrac{1}{16}(2)^{n-1}\\\\\\\\9th\ term:\\a_9=\dfrac{1}{16}(2)^{9-1}\\\\\\a_9=\dfrac{1}{16}(2)^{8}\\\\\\.\quad =\large\boxed{16}

3 0
2 years ago
a person driving along the road moves rates of 56 miles per hour driven.How far does the person drive in 1.5 hours?
givi [52]
84 miles.
You just have to take half of 56 (28) and add it to 56 to get 84

8 0
3 years ago
Help me idk how to do this
ElenaW [278]
To do this, you have to plug each x value into the rule.

1.y = 15 - 3×2
y = 15 - 6
y = 9

So the first y value would be 9.

2.y = 15 - 3×3
y = 15 - 9
y = 6

3. y = 15 - 3×4
y = 15-12
y = 3

4. y = 15 - 3×5
y = 15-15
y = 0

Hope this helps!

3 0
3 years ago
If 3x−y=12, what is the value of <br>8x<br>2y
PSYCHO15rus [73]

Answer:

8x=32\\2y=-24

Step-by-step explanation:

When solving for 1 variable, set the other to 0 and solve.

3x-y(0)=12\\3x=12\\x=4\\4*8=32\\8x=32\\\\3(0)-y=12\\-y=12\\y=-12\\-12*2=-24\\2y=-24

8 0
3 years ago
Which graph represents the function<br><br> A<br> B<br> C<br> D
klemol [59]
I think the answer it would be D
7 0
2 years ago
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