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Irina-Kira [14]
2 years ago
10

Find the common ratio for the following geometric sequence 7,3.5,1.75,0.875

Mathematics
2 answers:
Serhud [2]2 years ago
4 0

Answer:2

Step-by-step explanation:

7/2= 3.5

3.5/2= 1.75

1.75/2= 0.875

Amiraneli [1.4K]2 years ago
3 0

Answer:

Step-by-step explanation:

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Use a half-angle identity to find the exact value
Tatiana [17]

Given:

\cos 15^{\circ}

To find:

The exact value of cos 15°.

Solution:

$\cos 15^{\circ}=\cos\frac{ 30^{\circ}}{2}

Using half-angle identity:

$\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos (x)}{2}}

$\cos \frac{30^{\circ}}{2}=\sqrt{\frac{1+\cos \left(30^{\circ}\right)}{2}}

Using the trigonometric identity: \cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}

            $=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}

Let us first solve the fraction in the numerator.

            $=\sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}}

Using fraction rule: \frac{\frac{a}{b} }{c}=\frac{a}{b \cdot c}

            $=\sqrt{\frac {2+\sqrt{3}}{4}}

Apply radical rule: \sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}

           $=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}

Using \sqrt{4} =2:

           $=\frac{\sqrt{2+\sqrt{3}}}{2}

$\cos 15^\circ=\frac{\sqrt{2+\sqrt{3}}}{2}

5 0
3 years ago
2y+8×=2 identify the table that would correctly graph this equation
lys-0071 [83]

We have

2y+8x=2

In order to obtain easily the table, we need to clear y

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then we evaluate for values of x

if x=0

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y=1

if x=1

y=-4(1)+1=-3

y=3

if x=2

y=-4(2)+1=-7

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if x=3

y=-4(3)+1=-11

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So the table for the given equation is

x y

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3 0
1 year ago
Which expression is equivalent to 15x – 2(3x + 6)?
lakkis [162]

Answer:

35x+12

Step-by-step explanation:

1. You combine like terms. (15x *3x=35x)

2.You Multiply other terms (2*6= 12)

3. Answer: 35x+12

5 0
3 years ago
Eight times the reciprocal of a number equals 4 times the reciprocal of 8. find the number
Burka [1]
8*(1/x) = 4*(1/8)
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Roman55 [17]
Yes 1.999 is an <span>irrational number</span>
6 0
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