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2 years ago

Find the explicit formula for the given sequence 2, 4, 8, 16...

Mathematics

2 answers:

bija089 [108]2 years ago

5 0

Answer:

Option A

Step-by-step explanation:

100% sure

krok68 [10]2 years ago

3 0

Answer:

I would think it A

Step-by-step explanation:

You might be interested in

A boat takes 2 hours to travel 15 miles upriver against the current. if the rate of the boat in still water is 12 miles per hour

OLga [1]

Answer:

4.5 mph or 9/2 mph

Step-by-step explanation:

Let x be the rate of the current

Formula: Distance = rate x time

where rate upstream =(12-x) and time =2 hours

15=(12-x)(2)

15=24–2x

2x=24–15

2x= 9

x=9/2=4.5 miles per hour (rate of current)

7 0

1 year ago

Select the correct answer. Which expression is equivalent to 8x^2^3 sqrt 375x + 2^3 sqrt 3x^7, if x=0?

natima [27]

Answer:

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}$

Step-by-step explanation:

The question is poorly formatted. The original question is:

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7$

We have:

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7$

Open bracket

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^{3* \frac{2}{3}}) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}$

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}$

Express 8 as 2^3

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^{3* \frac{2}{3}} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}$

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^2 *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}$

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}$

Express 2^3 as 8

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{75x^3} + 8\sqrt{ 3x^7}$

Expand each exponent

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2 *3x} + 8\sqrt{ 3x * x^6}$

Split

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2} *\sqrt{3x} + 8\sqrt{3x} * \sqrt{x^6}$

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 *5x *\sqrt{3x} + 8\sqrt{3x} * x^3$

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =20x^3\sqrt{3x} + 8x^3\sqrt{3x}$

Factorize

$(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}$

4 0

2 years ago

Read 2 more answers

the distance in feet that Karina swims in a race is represent by 8d - 8, where d is the distance for each lap.What is an express

sergij07 [2.7K]

Answer: The equivalent expression for is

Step-by-step explanation:

The distance in feet that Karina swims in a race is represented by 4d - 4, where is d is the distance for each lap.

To get equivalent expression we factor the expression 4d-4

Greatest common factor is 4

Factor out 4 from the expression 4d-4

when we factor out 4, we divide each term by 4

The equivalent expression for is

Step-by-step explanation:

4 0

3 years ago

What is the slope of the line that contains the points (0,7) and (8,-3)

Novay_Z [31]

Slope= $\frac{change in y}{change in x}$
slope m= $\frac{7--3}{0-8}$
m= $\frac{10}{-8}$

4 0

2 years ago

Read 2 more answers

Please help with question 2

Rufina [12.5K]

I would distribute first.

$-5-3x\geq 2(10+2x)+3$

$-5-3x\geq 20+4x+3$

$-5-3x\geq 4x+23$

$7x \leq -28$

$x\leq -4$

Hope this helps.

頑張って!

6 0

3 years ago