A colony of bacterial doubled every week. If the colony began with 40 bacteria, how many bacteria are present after 4 weeks?

Answers

Answer 1

Answer:

640 bacteria.

Step-by-step explanation:

Make a chart.

Bacteria    Weeks

40                  0

80                  1

160                  2

320                 3

640                 4


It starts off with 40 bacteria, which means no weeks have passed so far. That is why 40 pairs with 0 rather than 1.


Related Questions

What is the solution to the inequality −3x < 7.5?

Answers

Answer:

The solution of the inequality is [tex](-2.5,\infty)[/tex].

Step-by-step explanation:

The given inequality is

[tex]-3x<7.5[/tex]

If an inequality divided by a negative number,then the sign of inequality change. Divide both sides by -3.

[tex]\frac{-3x}{-3} >\frac{7.5}{-3}[/tex]

[tex]x >-2.5[/tex]

Therefore the solution of the given inequality is all real numbers greater than -2.5.

In interval notation it can be defined as

[tex](-2.5,\infty)[/tex]

Answer:

x > −2.5

Step-by-step explanation:

i got the correct answer

what is the equation

Answers

14,040+12,500+20 I think is the equation

Graham and Max will meet at the same altitude after approximately 22 minutes.

Explanation:

To find out how many minutes it will take Graham and Max to meet at the same altitude, we need to set up an equation.

Let's assume that after t minutes, Graham and Max will meet at the same altitude. This means that the altitude of Graham is equal to the altitude of Max.

Equation: 14,040 - 50t = 12,500 + 20t

To find t, we can solve this equation:

14,040 - 50t = 12,500 + 20t

Subtract 20t from both sides: 14,040 - 70t = 12,500

Subtract 12,500 from both sides: 14,040 - 12,500 - 70t = 0

Combine like terms: 1,540 - 70t = 0

Subtract 1,540 from both sides: -70t = -1,540

Divide by -70 on both sides: t = -1,540/-70

Simplify: t ≈ 22 minutes

Therefore, it will take approximately 22 minutes for Graham and Max to meet at the same altitude.

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ANY HELP WITH THIS WOULD BE AMAZING TYSM!!!
Match the equation with its graph -2x+7y=14

Answers

Answer:

x= 1

Step-by-step explanation:

- = negative. so negative 2 blank + 7 equals 14.

x is 1 because the more you add positively to a negative number the close it gets to zero. negative 21 + 7 is negative 14 but I you got an 8ntegr the n it would be 14.

The graph of the function -2x + 7y = 14 is attached

How to plot the graph of the function

From the question, we have the following parameters that can be used in our computation:

-2x + 7y = 14

We start by making the variable y the subject

-2x + 7y = 14

So, we have

7y = 2x + 14

Divide through by 7

y = 2/7x + 2

And it also means that the equation is a linear equation

A linear equation is represented as

y = mx + c

Where

m = slope

i.e. m = 2/7

Hence, the equivalent equation to plot is y = 2/7x + 2

See attachment for graph

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Write the sentence as an equation.

384 subtracted from the quantity 35 times q is q times 225, decreased by 189

Answers

Answer:

35q-384 = 225q-189

Step-by-step explanation:

since its 384 subtracted from 35 times q it will be 35q-384 and then it says "is" which is an equal sign (=) and then q times 225 which is 225q decreased by 189 which is 225q-189 so it will be 35q-384 = 225q-189

35q-384=225q-189
Hope this helps

at a constant speed a car travels 75 miles in 60 minutes how far does the car travel in 18 minutes

Answers

Answer:

22.5 miles

Step-by-step explanation:

first divide 75 by sixty and that will be your traveled per minute then multiply that by 18 and that is you answer. Good luck, please mark me brainliest.

Constant speed is the speed of the object witch does not changes with the time. With constant speed the body traveled the same distance for the each time interval. The distance traveled by the car in 18 minutes is 22.5 miles.

Given Information-

The car traveled with the constant speed is 75 miles in 60 minutes.

What is the constant speed?

Constant speed is the speed of the object witch does not changes with the time. With constant speed the body traveled the same distance for the each time interval.

As the car traveled with the constant speed is 75 miles in 60 minutes. Let x the total miles traveled by  the car in one minutes is.

[tex]x=\dfrac{75}{60}[/tex]

[tex]x=\dfrac{5}{4}[/tex]

Thus the the total miles traveled by the car in one minutes is 5/4 miles. Let n be the total miles traveled by the car in 18 minutes. Thus,

[tex]x=\dfrac{5}{4}\times 18[/tex]

[tex]x=\dfrac{45}{2}[/tex]

[tex]x=22.5[/tex]

Hence the distance traveled by the car in 18 minutes is 22.5 miles.

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Tate has 5 more than twice as many pennies as Mia. If Mia has x pennies, how many does Tate have

Answers

Answer:

Tate has 7x pennies.

Step-by-step explanation:

Tate has 2x pennies because Mia has x pennies and Tate has twice the pennies of Mia so

5+2x= 7x

WEATHER The equation y=0.2x +3.5 can be used to find the amount of accumulated snow y in inches x hours after 5 P.M. on a certain day. Identify the slope and y- intercept of the graph of the equation and explain what each represents.

Answers

Answer:

Slope (m) = 0.2 and y-intercept (b) = 3.5.

Slope represents here the increase in snow 0.2 inches per hour and y-intercept represents here the initially 3.5 inches snow was there.

Step-by-step explanation:

We are given weather equation y=0.2x +3.5 for finding the amount of accumulated snow y in inches x hours after 5 P.M. on a certain day.

We need to identify the slope and y- intercept of the graph of the equation .

Let us compare given equation y=0.2x +3.5 by slope-intercept form y=mx+b, we get

Slope (m) = 0.2 and y-intercept (b) = 3.5.

Slope represents here the increase in snow 0.2 inches per hour and y-intercept represents here the initially 3.5 inches snow was there.

Rewrite the following without an exponent.

Answers

Answer:

[tex]\frac{1}{81}[/tex]

Step-by-step explanation:

Law of exponent

[tex]a^{-m} = \frac{1}{a^{m} }[/tex]

1) Applying the above rule, we have

[tex]9^{-2} = \frac{1}{9^{2} }[/tex]

= [tex]\frac{1}{9*9}[/tex]

= [tex]\frac{1}{81}[/tex]

I'LL GIVE BRAINLIEST! :D

How do you write these equations in slope intercept form?

y - 2x = -4


y - 3 = -1/2x


2x + 3y = 6

Answers

Answer:

y= 2x-4   ,   y= -1/2x +3    , y= -2/3x+2

Step-by-step explanation:

slope intercept form: y=mx+b

y-2x=-4

add 2x to both sides

y= 2x-4

y-3= -1/2x

add 3 to both sides

y= -1/2x +3

2x+3y=6

subtract 2x from both sides

3y= -2x+6

divide both sides by 3

y= (-2x+6)/3

y= -2/3x+2

NOTES:

Slope-Intercept form is y = mx + b  ; where m is the slope and b is the y-intercept.

To convert an equation into slope-intercept form, solve for y

******************************************************************************************

Answer: y = 2x - 4

Step-by-step explanation:

y - 2x = -4

  +2x    +2x  

y       = 2x - 4

********************************************************************************************

Answer: y = [tex]-\frac{1}{2}x[/tex] + 3

Step-by-step explanation:

y - 3 = [tex]-\frac{1}{2}x[/tex]

  +3          +3  

y       = [tex]-\frac{1}{2}x[/tex] + 3

********************************************************************************************

Answer: y = [tex]-\frac{2}{3}x[/tex] + 2

Step-by-step explanation:

2x + 3y = 6

-2x         -2x  

        3y = -2x + 6

        ÷3    ÷3  ÷3  

          y = [tex]-\frac{2}{3}x[/tex] + 2





A swimming pool has 2.5 million liters of water in it. Some water evaporated and then the pool only has 2 millions liters in it. What percent of the water evaporated?

Answers

Answer:

20% was evaporated

Step-by-step explanation:

Formula:

((New value-old value)/(old value))*100


((2-2.5)/(2.5))*100 = 20

Answer:

20% of the water evaporated

Step-by-step explanation:

We know that 500,000 evaporated because 2,500,000-2,000,000 is 500,000.

100% - 2,500,000

500,000 - x%

2,500,000/500,000 = 100/x

x=(500,000)(100)/2,500,000

x= 20%

20% of the water evaporated.

if f(x) = 3x-12, what is f(2)

A.18
B.-18
C.6
D.-6

Answers

f(2) This means that x is 2, so you can plug in 2 for "x" in the equation


f(x) = 3x - 12

f(2) = 3(2) - 12

f(2) = 6 - 12

f(2) = -6

Your answer is D

Answer:

D. -6

Step-by-step explanation:

Hi!!! You have to substitute 2 for f(x) & for the x next to 3!!!

f(x) = 3x- 12

f(2) = 3(2) - 12

= 6 - 12

= 6 -12

= -6

Please help!!
3.5(x) + -20 + 1/2(x) = 40 - 2x

Answers

Greetings!

Answer:

x = 10

Step-by-step explanation:

First, we need to isolate all the x's on one side. To do this we need to move the -20 over to the other side making it a +20:

3.5x + 1/2x = 40 + 20 - 2x

Add the x's and the 40 and 20:

4x = 60 - 2x

Move the -2x over to the other side making it a +2x:

4x + 2x = 60

6x = 60

Divide both sides by 6:

x = 10

So x = 10


Hope this helps!

Answer:

10

Step-by-step explanation:

3.5(x) + -20 + 1/2(x) = 40 - 2x

3.5x - 20 + x/2 = 40 - 2x

3.5x + x/2 + 2x = 40 + 20

6x = 60

x = 60/6

    = 10

is this right i dont know smo help

Answers

Answer:

D. multiplication property

Step-by-step explanation

Am not so sure but i think its that

The side of a square is 3 cm smaller than one of the sides of a rectangle and 2 cm greater than its other side. Find the side of the square, if it’s known that the area of the square is 30 cm2 less than the area of the rectangle.


Quickly 10 points

Answers

[tex]a-the\ side\ of\ square\\a^2-the\ area\ of\ square\\\\a+3-the\ one\ side\ of\ rectangle\\a-2-the\ second\ side\ of\ rectangle\\(a+3)(a-2)-the\ area\ of\ rectangle\\\\\text{The equation:}\\\\(a+3)(a-2)=a^2+30\qquad\text{use distributive property}\\\\(a)(a)+(a)(-2)+(3)(a)+(3)(-2)=a^2+30\\\\a^2-2a+3a-6=a^2+30\qquad\text{subtract}\ a^2\ \text{from both sides}\\\\a-6=30\qquad\text{add 6 to both sides}\\\\\boxed{a=36}\\\\Answer:\ \boxed{36\ cm}[/tex]

PLEASE!!!!!!!!!!!! HELPPPP!!!!!!!!!!!!!!!!!!
Which of the following inequalities matches the graph?

graph of an inequality with a solid vertical line through the point (5, 0) and shading to the left of the line

x less than or equal to 5
x greater than or equal to 5
y less than or equal to 5
y greater than or equal to 5

Answers

x less than or equal to 5
Final answer:

The graph described by the student shows a solid vertical line through the point (5, 0), with shading to the left. This corresponds to the inequality 'x less than or equal to 5'.

Explanation:

The student is asking about a graph of an inequality which features a solid vertical line that passes through the point (5, 0). The graph has shading to the left of this line. A vertical line in coordinate geometry represents all points where the x-coordinate is a specific value, and if the shading is to the left, it indicates that the x-values are less than or equal to that specific value of the vertical line.

Therefore, the correct inequality that matches the described graph is x less than or equal to 5 (`x ≤ 5`). The other options do not correctly represent a vertical line or the indicated shading direction.

simplify (b^9)^3
A.b^24
B.b^6
C.b^27
D.b^9

Answers

Answer:

C. b^27

Step-by-step explanation:

By the definition of exponents

[tex](b^9)^3=b^9*b^9*b^9[/tex]

And since for any real numbers [tex]r,x,[/tex] and [tex]y[/tex]

[tex]r^x*r^y=r^{(x+y)}[/tex]

This makes

[tex](b^9)^3=b^9*b^9*b^9=b^{{9+9+9}}=\boxed{b^{27}}[/tex]

Which is choice C.

Alternatively, we could use the identity

[tex](r^x)^y=r^{xy}[/tex]

in which case

[tex](b^9)^3=b^{(9*3)}= \boxed{b^{27}}[/tex]

which is the same answer.

Answer:b²⁷

Step-by-step explanation:

An author has 18 pages to send to a publisher. The author has only small envelopes and can't fit all the pages into a single envelope. It ends up taking 6 envelopes to hold all the pages. If each envelope has the same number of pages in it, how many pages are there in each envelope? A) 2 pages B) 3 pages C) 4 pages D) 5 pages

Answers

I’m not really good with riddles so how do I get out of here

Oliver is watching a farmer plant a vegetable garden. He notices two hours after they began that the farmer had planted seven rows of the garden. Three hours later, he noticed that the farmer had now planted seventeen and a half rows of the garden. Assume that the farmer works at a constant rate.

Part B)Create an equation to represent the rate at which the farmer plants his vegetables, where x equals the hours worked and y equals the number of rows planted.

Answers

Answer:

y = 3.5x

Step-by-step explanation:

The equation for a straight line is  

y = mx +b

We know that when

x₁ = 2, y₁ = 7 and when

x₂ = 5, y₂ = 17.5

Step 1. Determine the slope

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

m = (17.5 – 7)/(5 – 2)    Remove parentheses

m = 10.5/3

m = 3.5

===============

Step 2. Determine the y-intercept.

y = 3.5x + b     Insert x₁ and y₁

7 = 3.5×2 + b

7 = 7 + b          Subtract 7 from each side

b = 0

===============

Step 3. Write the equation

y = mx + b

y = 3.5x + 0

y = 3.5x

The equation is y = 3.5x.

Which is the graph of x is greater than or equal to 2

Answers

the last one if we shade the unwanted part

12-packs Of Skwunch apple juice cost $3.00 after a 40% discount. Which equation would allow you to find the original price of the 12-pack? PLEASE HELP!!!!!!

Answers

100/40 = 2.5

Mulitply 2.5 by 3

2.5 * 3 = 7.5

The original price is $7.50

Answer:

3.00 = original price * (1-.4)

or

3 = original price*.6

Step-by-step explanation:

We know the cost after the discount.

Price after discount = original price - original price * discount rate

Factoring out the original price

Price after discount = original price (1- discount rate)

We know the price after discount = 3.00  and the discount rate =.40

Substituting these values in

3.00 = original price * (1-.4)

3 = original price*.6

Divide each side by .6

3/.6 = original price

5.00 = original price

PLEASE HELP ME ON NUMBER 13 I NEED IT!!!!!

Answers

Answer:

a. x+y=10, 2x+3y=24

b.this systems of equations have a unique solution since there is only one value for x and one value for y where each equation is present in. There is no same slope or y-intercept

c. 4 magnet gift boxes

Step-by-step explanation:


what is the approximate value of y - x

Answers

Answer:

17.2°

Step-by-step explanation:

using the tangent ration in the right triangle

tan y° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{19.1}{14.1}[/tex], hence

y = [tex]tan^{-1}[/tex]([tex]\frac{19.1}{14.1}[/tex]) ≈ 53.6°

tan x° = [tex]\frac{14.1}{19.1}[/tex], hence

x = [tex]tan^{-1}[/tex]([tex]\frac{14.1}{19.1}[/tex]) ≈ 36.4°

y - x = 53.6° - 36.4° = 17.2°


Answer:

D) y -x = Approximate 17.1 degree.

Step-by-step explanation:

Given : Triangle .

To find :  Approximate value of y - x.

Solution : We have given a right angle triangle with

Opposite side = 19.1 in.

Adjacent side = 14 .1 in.

Tan( y ) = [tex]\frac{Opposite}{adjacent}[/tex].

Plug the values

Tan( y ) = [tex]\frac{19.1}{14.1}[/tex].

tan(y) = 1.354.

Taking tan inverse both sides.

y = [tex]tan^{-1}(1.354)[/tex].

y = 53.55 degree.

Now, by the sum of angle of triangles is 180 degree.

Angle c + angle y + angle  x = 180.

Plug the variable

90 + 53.55 + x = 180.

83.55 + x = 180

On subtracting both sides by 83.55

x = 36.45 degree

Then ,

y - x = 53 .55 - 36 . 45

y - x = 17.2

Approximate 17.1 degree

Therefore, D) y -x = Approximate 17.1 degree.

solve for a 1/4(20-4a)=6-a

Answers

[tex]1/4(20-4a)=6-a \ /\cdot4\\20-4a=24-4a\\-4a+4a=24-20\\0=4\\false[/tex]

what is this song of 2.5 x 10 to the 4th power + 3.4 * 10 to the 4th power

Answers

5.9 • 10^4

just add the two numbers because the exponents are equal.

can someone please tell me what r^2 - 9 = is?

Answers

Answer:

The answer is (r + 3)(r - 3)

Step-by-step explanation:

There need to be two number that add together to get 0

and two number that multiply together to get -9

3 + -3 = 0

3 · -3 = -9

= (r + 3)(r - 3)

A 24 foot ladder leans against the wall of a building. The foot of the ladder is 5 feet from the base of the wall. How many feet above the ground is the point where the ladder touches the wall?

Answers

Answer:

The answer is approximately about 23.5 feet about the ground touching the wall.

Step-by-step explanation:

The ladder makes a right triangle with the wall and ground, therefore you use pythagorean theorem. If you draw what is being described, you can see that the 24 ladder is the hypotenuse or "c", while the ground and wall are "a" and "b" for the equation.

you set it up like so:

√(24²-5²) = a²

which will result in √(551) or ≈23.5 feet

The number of feet above the ground where the ladder touches the wall is 23.47 ft.

The information above forms a right angle triangle. The base of the right angle triangle is 5 ft and the hypotenuse of the right angle triangle is 24 ft.

Let's find the height of the triangle to know how many feet above the ground where the ladder touches the wall.

Using Pythagoras theorem,

c² = a²+b²

where

c =hypotenuse

a and b are either adjacent side or opposite sides.

Therefore,

b² = 24² - 5²

b² = 576 - 25

b = √551

b = 23.4733891886

b ≈ 23. 47 ft.

Therefore, the feet above the ground where the ladder touches the wall is 23.47 feet.

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HELP ASAP : Find the largest value of n such that 5x^2+nx+48 can be factored as the product of two linear factors with integer coefficients

Answers

Answer:

[tex]n=241[/tex]

Step-by-step explanation:

We are given

[tex]5x^2+nx+48[/tex]

Let's assume it can be factored as

[tex]5x^2+nx+48=(5x-s)(x-r)[/tex]

now, we can multiply right side

and then we can compare it

[tex]5x^2+nx+48=5x^2-5rx-sx+rs[/tex]

[tex]5x^2+nx+48=5x^2-(5r+s)x+rs[/tex]

now, we can compare coefficients

[tex]rs=48[/tex]

[tex]5r+s=-n[/tex]

[tex]n=-(5r+s)[/tex]

now, we can find all possible factors of 48

and then we can assume possible prime factors of 48

[tex]48=-+(1\times 48)[/tex]

[tex]48=-+(2\times 24)[/tex]

[tex]48=-+(3\times 16)[/tex]

[tex]48=-+(4\times 12)[/tex]

[tex]48=-+(6\times 8)[/tex]

Since, we have to find the largest value of n

So, we will get consider larger value of r because of 5r

and because n is negative of 5r+s

so, we will both n and r as negative

So, we can assume

r=-48 and s=-1

so, we get

[tex]n=-(5\times -48-1)[/tex]

[tex]n=241[/tex]


NEED HELP ASAP!!!! Daniel buys one bond each with a par value of $1,000 from Grath Oil, Ombor Medical Supplies, and Dwyn Horticulture. Grath Oil bonds are selling at 120.514, Ombor Medical Supplies bonds are selling at 90.773, and Dwyn Horticulture bonds are selling at 101.180. What is the total face value of Daniel’s bonds? a. $3,124.67 b. $3,000.00 c. $3,312.46 d. $312.47

Answers

Answer:the answer would be a i just did it but correct me if i was wrong


Step-by-step explanation:


Answer:

b. $3,000.00

Step-by-step explanation:

Daniel buys one bond each with a par value of $1,000 from Grath Oil, Ombor Medical Supplies, and Dwyn Horticulture.

Grath Oil bonds are selling at 120.514

Ombor Medical Supplies bonds are selling at 90.773

Dwyn Horticulture bonds are selling at 101.180.

These values have nothing to do here as we only have to find the face value.

The face value of 1 bond is $1000 so, the face value of 3 bonds will be = [tex]1000\times3=3000[/tex] dollars.

The intersection of two planes is a point and two lines intersect in a point. True or false

Answers

Statement: Two planes intersect to form a point

This is false. Two planes intersect to form a single straight line.

-----------------

Statement: two lines intersect to form a point

This is true assuming the two lines have different slopes

-----------------

Because the first statement is false, the overall argument is false.

Final answer:

The intersection of two planes is a line, not a point, which makes the statement false. Two lines intersecting in a point is true provided they are not parallel.

Explanation:

The statement that the intersection of two planes is a point is false. According to geometric principles, specifically the line of intersection of two planes, when two planes intersect, they do so along a line, not just a single point. This line of intersection is represented by the points where their respective great circles cross. The intersection of two lines, however, is indeed a point, provided that the lines are not parallel. This is in agreement with Theorem 1, which states that two straight lines of a plane have either one point or no point in common; similarly, two planes have no point in common or a straight line in common.

Relevant Theorems on Intersections

Theorem 1 and Theorem 2 outline the foundational concepts regarding intersections in geometry. Understanding these theorems helps explain why two intersecting planes result in a line and not a single point.

a sea bird is 28 meters above the surface of the ocean what is the elevation

Answers

91.8 ft above sea level

Other Questions
Although the diseases transferred by Columbian Exchange resulted in the depopulation of the Americas, the overall effect was an increased population growth worldwide. TRUE OR FALSE -Explain your answer I need some help on independent and subordinate clauses plz and thank you Example from the book that says Friar lawerence was responsible for their death Imagine the author of A Matter of Fact chose to write the text as a poem.How might the poems form or structure contribute to its meaning?Use at least two details from either section to support your answer what does george wilson suspect about the person driving the yellow car what was the cause and effect of the us mexican war A rescue helicopter is used to help victims who fell in a ditch. The helicopter begins at sea level, which is an elevation of 0 feet. It then travels down for 100 seconds at a speed of 10.5 feet per second. It then travels directly up for 150 seconds at a speed of 5.2 feet per second. After this 250 second period, how much time, in seconds, will it take for the rescue helicopter to travel back to sea level at the helicopter's maximum speed of 15.8 feet per second? The angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 22. If the vertical distance from the bottom to the top of the mountain is 689 feet and the gondola moves at a speed of 130 feet per minute, how long does the ride last? Read this paragraph from I Never Had It Made.I wasn't just another athlete being hired by a ball club. We were playing for big stakes. This was the reason Branch Rickey's search had been so exhaustive. The search had spanned the globe and narrowed down to a few candidates, then finally to me. When it looked as though I might be the number-one choice, the investigation of my life, my habits, my reputation, and my character had become an intensified study.What is the authors purpose for including this paragraph?A to inform readers about Rickeys thorough selection processB to inform readers about Rickeys distrust of RobinsonC to persuade readers that Robinson is the best athlete in the leagueD to entertain readers with a story about Robinson and Rickey How does Noras conflict in this excerpt best demonstrate a difference between life in the late 1800s and life today?The conflict demonstrates that women are better suited to be mothers than wives.The conflict demonstrates that women are not inclined to practice a particular religion.The conflict demonstrates that women are expected to remain in the roles assigned to them.The conflict demonstrates that women are not expected to get their education from books. which line in the excerpt from act ii of William Shakespeare Romeo and Juliet reveal that count Paris wants to marry Juliet as soon as This statement is _____. I have fourteen dollars in my pocket. A.fact B.opinion Three hens can lay 3 eggs in 3 days. How many hens would lay 3 eggs in 9 days? would president polk support or oppose the manifest democracy? why? which is an equation in Point-Slope form for the given point and slopePoint: ( -3,7); Slope: 4 A. y - 7 = 4 ( x - 3 )B. y - 7 = 4 ( x + 3 )C. y + 7 = 4 ( x + 3)D. y + 7 = 4x - 12 what is the distance between the points -3, 5 and -3,-9? Which of the following substitutes can help reduce air pollution. A. Using a bike instead of a car B. Using dumps instead of landfills C. Using coal instead of oil D. Fireplaces instead of a wind farms What is the purpose of the third stanza of auspex Write a recursive function called sumDigits with the following signature: public static long sumDigits(long n) that computes the sum of the digits in a number repeatedly, until the sum is a single digit. For example, if we call sumDigits(123456), the following would result: sumDigits(123456) => 1+2+3+4+5+6 => 21 => 2+1 => 3 so the final answer would be 3. You must meaningfully use recursion for this lab in order to receive any credit. Hint: For this problem it might be useful to convert back and forth between longs and strings. This can be done using the Long.parseLong method and the Long.toString method. Summarize the work of Nobel Prize winner Roger Sperry that is discussed in this article. (Site 1) Steam Workshop Downloader