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alisha [4.7K]
4 years ago
14

Find the value of each variable in simplest radical form

Mathematics
1 answer:
kipiarov [429]4 years ago
6 0
I sksksksk aloe sksksk so so sksksk
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Which number comes next in this series? 1/64, 1/32, 1/16, 1/8, 1/4, 1/2, ?
alexgriva [62]
This is a geometric sequence, with the first term: 1/64

The common ratio is found through the ratio of the first two terms and the second and third term.
\frac{\frac{1}{32}}{\frac{1}{64}} = \frac{\frac{1}{16}}{\frac{1}{32}}
\frac{1}{32} \cdot 64 = \frac{1}{16} \cdot 32

Since there is a common difference of 2, we can generalise this sequence to find the nth term:
T_n = ar^{n-1}
a is the first term, r is the common ratio, and n is the nth term in the sequence.

T_n = \frac{1}{64} \cdot 2^{n-1}
Substituting n = 7, we get:
T_7 = \frac{1}{64} \cdot 2^{7 - 1}
T_7 = \frac{1}{64} \cdot 64
T_7 = \frac{64}{64} = 1

Thus, the next term in the sequence is 1.
6 0
3 years ago
As you are walking down a path, you see a sign telling the path has a 2% grade (ie., a rise of 2 metres for a horizontal change
Leni [432]

Answer:

Option (A)

Step-by-step explanation:

It has been given in this question that sign telling path has a 2% grade.

2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).

All the trigonometric ratios for the angle θ between the path and the horizontal are,

Sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}

Cosθ = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

tanθ = \frac{\text{Opposite side}}{\text{Adjacent side}}

Since measures of the opposite side and adjacent sides are given

Therefore, tangent ratio will be applied to get the measure of the angle,

tanθ = \frac{2}{100}

θ = \text{tan}^{-1}(\frac{2}{100})

Option (A) will be the answer.

5 0
3 years ago
10/21 divided by (-15/7)
Whitepunk [10]

Answer:

Find the reciprocal of the divisor

Reciprocal of

15/7 : 7/15

Now, multiply it with the dividend

So, 10/ 21 ÷ 15/7 = 10/21 × 7/15

= 10 × 7/ 21 × 15 = 70/ 315

After reducing the fraction, the answer is

2/9

4 0
3 years ago
Factor the following expression.<br> 10x5 + 5x3 – 14x2 - 7
Makovka662 [10]
That equals 30 because, 10x5= 50+5x3 which equals to 15 will be 65. - 14x2=28... 65-28=37-7=30.
5 0
3 years ago
Read 2 more answers
Select all the expressions that are greater than 1 <br><br>​
svet-max [94.6K]

Step-by-step explanation:

A,C and D are the correct answer of this question .....

plz mark my answer as brainlist plzzzz vote me also

7 0
3 years ago
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