If i=
[tex] \sqrt{ - 1} [/tex]
, what is the value of i³? ​

Answer:

a₁₂ = 16384

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 8 and r = a₂ ÷ a₁ = 16 ÷ 8 = 2 , then

a₁₂ = 8 × [tex]2^{11}[/tex] = 8 × 2048 = 16384

Answer:

16384

Step-by-step explanation:

We know that this is geometric sequence meaning we are multiplying the term before by a constant number.

We can see that 8 x 2 = 16 and 16 x 2 = 32. Meaning the number we are multiplying by is 2.

Terms:

We know that 8 is out first "term" so we don't multiply by anything. 16 is the second and we multiply 8 once to sixteen. 32 is the third and we multiply 8 twice by 2 to get to 32. We can see that the number of times we multiply is always 1 less that the term number.

We can write this equation. 8 x 2 ^ (n-1)

n is the term number.

This makes sense because we start with eight and multiply by two. We raise it to the n-1 power because we know we multiply 2 n-1 times to eight.

Answer:

Let's plug in our numbers!

8 x 2 ^ (12 - 1)

I use twelve because we're trying to figure out the 12th term.

8 x 2 ^ 11 = 16384

If you have a khan academy account I highly suggest you check out the unit about sequences in algebra 1! Good Luck

JoeLouis2

Answer: slope = 3

Step-by-step explanation:

We can see from the point intersecting the y axis (y-intercept) to the point (1, 1) it goes up 3 and right 1 giving us the slope [tex]\frac{3}{1}[/tex] simplified to 3

Answer:

a). 840 b). 14

Step-by-step explanation:

a). 840 miles

350 miles ÷ 25 gallons = 14

14 (miles per gallon) x 60 gallons of gas = 840

b). 14

(first step of the first answer)

350 miles ÷ 25 gallons = 14 miles per gallon

hope this helped!

a) 840 miles can go for 60 gallons of gas.

b) The mileage is 14 miles per gallon.

Here, we have,

given that,

A new truck can travel 350 miles on 25 gallons of gas.

now, we have,

a). we get,

the milage of the truck is:

350 miles ÷ 25 gallons = 14

so, we get,

for 60 gallons of gas it can go:

14 (miles per gallon) x 60 gallons of gas = 840

so, 840 miles can go for 60 gallons of gas.

b). and, again we have,

the milage of the truck is:

(first step of the first answer)

350 miles ÷ 25 gallons = 14 miles per gallon

so, The mileage is 14 miles per gallon.

To learn more on multiplication click:

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Answer:

9ft

Step-by-step explanation:

-14 + 23 = 9

Answer:

C = 2πr

Step-by-step explanation:

We know that, the perimeter of a figure is equal to the sum of all sides.

A circle having no sides.

The perimeter of a circle = The circumference of the circle

The formula for the circumference of the circle is given by :

C = 2πr

Where

r is the radius of the circle

Hence, this is the required solution.

2x-13+3x-8+2x-3+2x-7+3x-1+2x+11+2x+9= (7-2)×180

16x-12=(7-2)×180

(7-2)×180 Work this out on a calculator

And then that answer=16x-12

Then you solve by adding 12 both sides and dividing by 16 both sides to get what x is.

Answer:

C. 8

Step-by-step explanation:

You double the distance of the x coordinate (ignore the sign in front of it) because you reflect it across the y-axis. So your math should look like this:

4*2= 8

Answer:

A. 8/5

Step-by-step explanation:

please be careful when typing the question. you made a mistake here (you wrote "x+2" instead of "x+1"). luckily you have provided also the screen shot.

the used symbolism of a composite function is nothing else than asking for

g(h(x)) for x=-3.

so, first we need to calculate h(-3) = 4 - -3 = 7

then we take that result as argument for g : g(7) = 8/5

so, altogether

g(h(-3)) = g(7) = 8/5

we can do this generically for x by substituting x in g by the expression of h

g(h(x)) = ((4-x) + 1) / ((4-x) - 2) = (5-x)/(2-x)

for x = -3 this gives (5- -3)/(2- -3) = 8/5

The value of the composite function  (g o h) (-3) is 9/5.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

First, we need to find the composition g o h, which means we need to substitute h(x) into g(x), so that:

(g o h)(x)

= g(h(x))

= g(4 - x)

= [(4 - x) + 2] / [(4 - x) - 2]

= (6 - x) / (2 - x)

Now, we can find (g o h)(-3) by substituting x = -3 into the expression above, which gives:

(g o h)(-3)

= (6 - (-3)) / (2 - (-3))

= 9 / 5

Therefore,

The value of (g o h)(-3) is 9/5.

Learn more about functions here:

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Answer:

-1/12

Step-by-step explanation:

The slopes of perpendicular lines are equivalent to -1.

Answer:

-1/4

Step-by-step explanation:

Subtract 12x from both sides to get -3y=-12x+81

Divide both sides by -3 to get y=4x-27

Take the negative reciprocal of 4, which is -1/4

Answer:

2 ( 3x - 9y + 18)

3 ( 3x - 6y + 12)

Inclusively:

6 ( x - 3y + 6)

Answer:

6 triangles

i am not very sure thou

Answer:

Box Number 3.

Step-by-step explanation:

4 is a coefficient in 4x because 4x is really 4*x which has 4 multiplying x. This is the same as 4 working with x. Also none of the other answers are true.

Answer:

(6, 2)

Step-by-step explanation:

xD' = (0-0) + (3×2) = 0+6 = 6

yD' = (2-0) + (3×0) = 2+0 = 2

the dilated coordinate D' (6, 2)

Answer:

6 and 2 pls answer my questions plss

Answer:

a¹²b⁴

Step-by-step explanation:

When terms with exponents are multiplied, the exponents multiply.

(a³b)⁴ = a¹²b⁴

Answer: a^12b^4

Step-by-step explanation:

(a^3b)^4 = (a^3b) x (a^3b) x (a^3b) x (a^3b) = a^12b^4

Answer:

The last one

Step-by-step explanation:

Answer:

y^2

Step-by-step explanation:

Here, we want to get the greatest common factor

Looking at the two, 14 and 15 has no common factors

So, we shift focus to the y raised

We have this as ;

y^2( 15y^2 + 14)

Thus, y^2 is the common factor

Answer: 3 7/12

Step-by-step explanation:

1. Solving the whole number

4-1=3

2. Solving the fraction parts

3/4 - 1/6=

Find the LCM. The LCM is 12 so we rewrite the factions like this:

9/12-2/12=7/12

3. Add.

3+ 7/12= 3 7/12

Hey there!

4 3/4 - 1 1/6

= 19/4 - 7/6

= (19 × 6) - (7 × 4) / 4 × 6

19 × 6 = 114

7 × 4 = 28

= 114 - 28 / 4 × 6

4 × 6 = 24

114 - 28 / 24

114 - 28 = 86

= 86/24

= 3 7/12

Answer: 86/24 OR 3 7/12

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

5x²(x - 3)

Step-by-step explanation:

Factor out 5x²

5x²(x - 3)

Answer:

The answer is [tex]5x^{2} (x-3)[/tex].

Step-by-step explanation:

To completely factor [tex]5x^{3}-15x^{2}[/tex], start by factoring [tex]5x^{2}[/tex] out of [tex]5x^{3}[/tex], which will look like [tex]5x^{2} (x)-15x^{2}[/tex].

Next, factor [tex]5x^{2}[/tex] out of [tex]-15x^{2}[/tex], and it will look like [tex]5x^{2} (x)+5x^{2} (-3)[/tex].

Then, factor [tex]5x^{2}[/tex] out of [tex]5x^{2} (x)+5x^{2} (-3)[/tex], and the final completely factored form is [tex]5x^{2} (x-3)[/tex].

Answer:

Step-by-step explanation:

Like that on the graph but on the x axis

Answer:

I hope this helps!

Step-by-step explanation:

Answer:

False ..... ....... . . .. ..

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

1 a) 124

Step-by-step explanation:

x +1 /5 =25

x +1 =25*5

x+ 1=125

x = 125-1

x=124

Answer:

it's 2 obviously

Step-by-step explanation:

thanks

Answer:

The formula to find interest over time is I=PRK

so 210=1000*0.07*3

add 210 to 1000 and we get  1210 so  idontknow now now the the answers make any since s0rry

Answer:

y = 5

Step-by-step explanation:

| x | means absolute value. That is number itself ( without the negative sign)

y = |x| - 6

y = | -11 | - 6

y = 11 - 6 = 5