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4 years ago

Determine the first five terms of each geometric sequence. a1= 5 r = 0.5

1 answer:

6 0

AN = (1/2^N-1) A1 { in general AN= (r^N-1) A1

A5 = (1/2^4) 40 = 40/16 = 0.5

So the answer to your question is 0.5

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The greatest common factor 40j-16=

muminat

Answer:

The greatest common factor is 8. So your answer would be: 8(5j - 2) because 8 x 5j= 40j and 8 x 2= 16

Step-by-step explanation:

4 0

3 years ago

Evaluate the expression below for x=4 3x+2•|x-8|-12

meriva

3x4= 12+2= 14 (the dot means multiplication) and i dont know further srry :(

7 0

3 years ago

Read 2 more answers

3 and 1/3 - 2 and 1/5

Natalija [7]

Answer:

1.13333333333

1.13

Step-by-step explanation:

1: Gather all the numbers

2: Use a calculator to subtract the numbers

3: Answer is 1.13

Hope this helps.

8 0

3 years ago

Evaluate: 6×(−2)+1−3 please help

nata0808 [166]

Answer:

-14

Step-by-step explanation:

5 0

3 years ago

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Am I correct on question #6?

pashok25 [27]

Option A:

$\tan(105^\circ)=-(2+\sqrt{3})$

Solution:

To evaluate tan(105)°:

105° can be written as sum of 60° and 45°.

tan(105)° = tan(45 + 60)°

Using the summation identity:

$$\tan (x+y)=\frac{\tan (x)+\tan (y)}{1-\tan (x) \tan (y)}$

$$\tan \left(105^{\circ}\right)=\frac{\tan \left(45^{\circ}\right)+\tan \left(60^{\circ}\right)}{1-\tan \left(45^{\circ}\right) \tan \left(60^{\circ}\right)}$

We know that, tan(45)° = 1 and tan(60)° = √3

Substitute this in the above equation.

$$=\frac{1+\sqrt{3}}{1-1 \cdot \sqrt{3}}$

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

To rationalize the denominator multiply by the conjugate $\frac{1+\sqrt{3}}{1+\sqrt{3}}$ .

$$=\frac{(1+\sqrt{3})(1+\sqrt{3})}{(1-\sqrt{3})(1+\sqrt{3})}$

Using exponent formula: $a^{b} \cdot a^{c}=a^{b+c}$ and $(x-y)(x+y)=x^2-y^2$

$$=\frac{(1+\sqrt{3})^2}{(1^2-(\sqrt{3})^2)}$

Using exponent formula: $(a+b)^{2}=a^{2}+2 a b+b^{2}$

$$=\frac{1^{2}+2 \cdot 1 \cdot \sqrt{3}+(\sqrt{3})^{2}}{1-3}$

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

$$=\frac{2(2+ \sqrt{3})}{-2}$

$=-(2+\sqrt{3})$

$\tan(105^\circ)=-(2+\sqrt{3})$

Hence option A is the correct answer.

6 0

4 years ago