Can someone please try solving this problem? Step by step explanation please

Answer:

[tex]y = 2^x - 1[/tex]

Step-by-step explanation:

Let the number of disks be x and the minimum number of moves be y.

[tex]y = 2^x - 1[/tex]

When x = 1: y = 1

[tex]y = 1 = 2 - 1 = 2^1 - 1[/tex]

When x = 2: y = 3

[tex]y = 3 = 4 - 1 = 2^2 - 1[/tex]

When x = 3: y = 7

[tex]y = 7 = 8 - 1 = 2^3 - 1[/tex]

When x=4: y = 15

[tex]y = 15 = 16 - 1 = 2^4 - 1[/tex]

When x = 5: y = 31

[tex]y = 31 = 32 - 1 = 2^5 - 1[/tex]

Notice that for each derived expression of y, the exponent of 2 is being replaced by the value of x.

The general equation is: [tex]y = 2^x - 1[/tex]

Answer:

x=2

Step-by-step explanation:

hi so im gonna be honest im too lazy to write down how i found the answer but it should be x=2. hope it helps!

ps pls tell me if it was correct :)

Answer:

no, it does not format a proportion, they are not equal

Answer:

Each student should get 7:75 gallons of water

Step-by-step explanation:

Do 62 divided by 8

Answer:

6,000

Step-by-step explanation:

It's correct trust me

Answer:

Step-by-step explanation:

(4,6) and (20,14) are points on the line.

slope of line = (14-6)/(20-4) = 8/16= 1/2

point-slope equation for line of slope 1/2 that passes through (6,4):

y-4 = (½)(x-6)

in slope-intercept form:

y = ½x + 1

y-intercept = 1

Answer:

Step-by-step explanation:26

Answer:

4 days

Step-by-step explanation:

0.14 × 375= $52.50

$300-52.50=247.50

247.50 ÷55.98= 4.42122186495

round 4.42122186495 to the nearest whole that won't go over 300 and its 4 at $223.92 and the if you add your 52.50 thats $276.42

Answer:

a = 8

Step-by-step explanation:

8 + 3 + 1 - 4 = 3a - 2a

8 = a

a = 8

I hope this helps a little bit.

Answer:

1|3

Step-by-step explanation:

slo osma uetacunsecuescia

Answer:

Altogether, Greg spent $22.71.

Step-by-step explanation:

1) 5kg × $2.75 = $13.75

Purple beads: Spent $13.75

2) 1/2 kg = 1.5kg

1.5kg × $1.84 = $2.76

Orange beads: Spent $2.76

3) 2kg × $3.10 = $6.20

White beads: Spent $6.20

4) Add them all together.

$13.75 + $2.76 + $6.20 = $22.71

Hope this helps. :)

Answer:

The explicit formula for the geometric sequence is [tex]c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}[/tex].

Step-by-step explanation:

By definition of geometric sequence, we should use the following expression:

[tex]c(n) = c_{1}\cdot r^{n-1}[/tex], [tex]n \ge 1[/tex] (1)

Where:

[tex]c_{1}[/tex] - First term.

[tex]r[/tex] - Geometric rate.

[tex]n[/tex] - Position of the element within the series.

If we know that [tex]c_{1} = -40[/tex] and [tex]r = \frac{1}{2}[/tex], then the explicit formula for the geometric sequence is:

[tex]c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}[/tex]

The explicit formula for the geometric sequence is [tex]c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}[/tex].

The image of figure 1 after reflection over the y-axis and a translation 3 units down is figure B.

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Coordinates of figure 1 are (-1, 1), (-1, 2), (-2, 2), (-3, 1), (-2, 4) and (-3, 4)

Reflection on y-axis, we get

(1, 1), (1, 2), (2, 2), (3, 1), (2, 4) and (3, 4)

Translation 3 units down

(1, 1-3), (1, 2-3), (2, 2-3), (3, 1-3), (2, 4-3) and (3, 4-3)

(1, -2), (1, -1), (2, -1), (3, -2), (2, 1) and (3, 1)

Figure B has following coordinate points, (1, -2), (1, -1), (2, -1), (3, -2), (2, 1) and (3, 1)

Therefore, the image of figure 1 after reflection over the y-axis and a translation 3 units down is figure B.

To learn more about the reflection over y-axis visit:

https://brainly.com/question/15175017.

#SPJ6

i know but yes i need to know it

Answer:

There are 1,035,779,173,390 different ways to answer 1+1

Step-by-step explanation:

I will give 4 examples

1. quentin trembley, the president on the negative 12 dollar bill.

2. d e s p a s i t o

3.(╭☞・◡・)╭☞     m0nkE bOnK

4. the cold heart of russian winter

Answer:

y=15x

Assuming he is mowing at a constant rate it would be 15 square feet per minute.

Step-by-step explanation:

Answer:

20  8 12 10

Step-by-step explanation:

Answer:

for 5. the answer is 15.

for 6. the answer is 8

Step-by-step explanation

hope this helped u again!!!!!!!!!!!!!!!!!!!!!!

Answer:

Step-by-step explanation:

[tex]6a^2-13ab-5b^2\\ \\ 6a^2+2ab-15ab-5b^2\\ \\ 2a(3a+b)-5b(3a+b)\\ \\ (2a-5b)(3a+b)[/tex]

Answer:

1) [tex]3x^{2}[/tex]-19x-14

2) x=0, x=3

Step-by-step explanation:

1) (3x+2)(x-7)

Distribute the 3x to both x and -7, as well as the 2 to both x and - 7.

[tex]3x^{2}[/tex] - 21x + 2x -14

Combine like terms

[tex]3x^{2}[/tex] - 19x - 14

2)

In order to find the factors of x, set the expression equal to 0.

[tex]3x^{2}[/tex] - 9x = 0

Factor out the highest common multiple (3x)

3x(x-3) = 0

In order for x to satisfy the equality, you must either have a 0 in the parenthesis -> (x-3)=0 -> x =3

Or 3x = 0 -> x = 0

Hope this helps!

Answer:

7. Each sweatshirt is $60

8. Table is    3,60 and   5, 100  and   8,160  and   9,180  and     12,240

9. You would graph table by plotting the x,y coordinates of each point on a graph and connecting the dots to show linear relationship

Step-by-step explanation:

Answer:

i don't know i need help with this one too

Step-by-step explanation:

Answer:

he need 5.7 inches to tie the boat to the dock

Answer:

5.7 inches of ropes to tie his boat to a dock

Answer:

0

Step-by-step explanation:

Combine like terms and everything cancels out

Answer:

4

Step-by-step explanation:

Simplifying

17 = 5k + -3

Reorder the terms:

17 = -3 + 5k

Solving

17 = -3 + 5k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-5k' to each side of the equation.

17 + -5k = -3 + 5k + -5k

Combine like terms: 5k + -5k = 0

17 + -5k = -3 + 0

17 + -5k = -3

Add '-17' to each side of the equation.

17 + -17 + -5k = -3 + -17

Combine like terms: 17 + -17 = 0

0 + -5k = -3 + -17

-5k = -3 + -17

Combine like terms: -3 + -17 = -20

-5k = -20

Divide each side by '-5'.

k = 4

Simplifying

k = 4

Answer:

w ≤ 19

Step-by-step explanation:

4w−16≤60

Add 16 to both sides.

4w−16+16≤60+16

4w≤76

Divide both sides by 4.

4w/4 ≤ 76/4

w≤19

Answer:

w<=19

Step-by-step explanation:

4w<=60+16

w<=76/4

Answer:

Im not a hundred percent sure if this is the right answer but im pretty sure it is 3.33333 repeated so the rate of change is 3 inches per week.

Step-by-step explanation:

I calculated the problem by subtracting the weeks from each other subtracting the amount of length corn has grown too. I found that the corn grew 40 inches in 12 weeks. So I divided the amount of weeks and the amount it has grown and it gave me 3.333333 repeated which makes the answer 3 inches per week. correct me if im wrong...

Hope this helps:)

Answer:

y = -3/4x -5

Step-by-step explanation:

(4, -8) and (-8, 1)

m = (y2-y1)/(x2-x1)

m= (1+8)/(-8-4)

m = (9)/(-12)

m = -3/4

y - y1 = m(x-x1)

y + 8 = -3/4(x -4)

y + 8 = -3/4x + 3

y = -3/4x -5

Answer:

y = -3/4x - 5

Step-by-step explanation:

Hope this helps!

Answer:

y=8

Step-by-step explanation:

y/0.5=16

multiply each side by 0.5 and you get y=8

Answer:

y = 8

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators

Cancel multiplied terms that are in the denominator

Multiply the numbers

y = 8