Bacteria vary somewhat in size, but a diameter of 1.5 μ m is not unusual.
a. What would be the volume (in cubic centimeters) of such a bacterium, assuming that it is spherical? Express your answer using two significant figures.
b. What would be the surface area (in square millimeters) of such a bacterium, assuming that it is spherical? Express your answer using two significant figures.

Answers

Answer 1

Answer:

a) 1.8 × 10^-12 cm³ or 1.8 × 10^-12 cubic meters

b) 7.1 × 10^-6 mm² or 7.1 × 10^-6 square millimeters

Step-by-step explanation:

a) We are assuming that the shape of the bacteria is a sphere.

Hence, Volume of the Sphere(Bacteria) = 4/3 × π × r³

Diameter = 1.5 μm

Radius = Diameter/2 = 1.5μm/2

= 0.75μm

We are told that the volume should be in cubic centimeters

Converting 0.75μm to centimeters

1 μm = 1 × 10^-4 cm

0.75 μm =

Cross Multiply

= 0.75 μm × 1 × 10^-4 cm/ 1 μm

= 0.000075cm

Volume of the Sphere(Bacteria) = 4/3 × π × r³

= 4/3 × π × (0.000075)³

= 1.767145867 × 10^-12 cm³

Approximately as 2 significant figures = 1.8 × 10^-12 cm³

b) The formula for the Surface area of a Sphere = 4πr²

Diameter = 1.5 μm

Radius = Diameter/2 = 1.5μm/2

= 0.75μm

We are told that the surface area should be in square millimeters

Converting 0.75μm to millimeters

1 μm = 0.001 mm

0.75 μm =

Cross Multiply

= 0.75 μm ×0.001mm/ 1 μm

= 0.00075mm

Surface Area of a Sphere

= 4 × π × r²

= 4 × π × 0.00075²

= 7.06858 ×10^-6 mm²

Approximately to 2 significant figures

= 7.1 × 10^-6 mm²


Related Questions

Helpppppppppppppppppppp pleaseeeeeeeeeeeeee

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Answer:

ok

Step-by-step explanation:

what

please answer thank you!

Answers

Answer:

D

Step-by-step explanation:

Distribute:

6x - 2 = 15

Answer:

It's D. 6x-2=15

Step-by-step explanation:

Just distribute(multiply) the 1/5 to 30 and -10.

Hope this helps

Complete this expression using the distributive property: 5(4 + 8) =

Answers

Explanation: The distributive property tells us when there's a number outside a set of parenthses, you can multiply it times each of the terms that are inside the set of parenthses and then add those products together.

So in this problem, we can multiply 5(4) + 5(8)

which simplifies to 20 + 40 which equals 60.

Answer:

5(4) + 5(8)

Step-by-step explanation:

Just trust me :D

Find and simplify each of the following for fx = 6x -3. (A) f(x+ h) (B) f(x +h) - f(x) (C) f(x + h) - f(x)/h

Answers

Answer:

A

[tex]f(x+ h)  =  6x + 6h -3[/tex]

B

[tex]f(x+ h) -  f(x) =   6h[/tex]

C

 [tex]\frac{f(x + h) - f(x)}{h}   =  6[/tex]

Step-by-step explanation:

From  the question the given equation is  

     [tex]f(x) =  6x -3[/tex]

Considering A

      [tex]f(x+ h)  =  6(x + h) -3[/tex]

=>    [tex]f(x+ h)  =  6x + 6h -3[/tex]

Considering B

     [tex]f(x+ h) -  f(x) =  6x +6h -3 - (6x-3)[/tex]

     [tex]f(x+ h) -  f(x) =   6h[/tex]

Considering C

    [tex]\frac{f(x + h) - f(x)}{h}  =  \frac{6h}{h}[/tex]

    [tex]\frac{f(x + h) - f(x)}{h}   =  6[/tex]

       

A nut mixture consists of almonds and cashews

Answers

Answer:

Mixed nuts are a snack food consisting of any mixture of mechanically or manually combined nuts. Peanuts, almonds, walnuts, Brazil nuts, cashews, hazelnuts. Mixed nuts may be salted, roasted, cooked, or blanched. I hope this helps you with your...nut problem .-_-.

please help me with this

Answers

Answer:

the answer to your question is 7/4

This is the correct answer -7/4
I hope this helps

f(x) = 2x+4
g(x) = x - 7
h(x)=9-x

Find
f(g(x))

Answers

Greetings from Brasil...

We have here a composite function.... Where there is X in function F(X), we will replace by G(X)

F(X) = 2X + 4

G(X) = X - 7

H(X) = 9 - X

F(X) = 2X + 4

F(G(X)) = 2·(GX) + 4

F(G(X)) = 2·(X - 7) + 4

F(G(X)) = 2X - 14 + 4

F(G(X)) = 2X - 10

.........................................................................

see more:

https://brainly.com/question/17280519


If two acute angles are added together then the result is an obtuse angle.
True
False

Answers

the answer would be true

write the sentence as an equation

z is the same as a more than 252​

Answers

Answer:

it depends on what ur multipling

What type of move takes Figure A to Figure B ?

Answers

Answer:

Step-by-step explanation:

Two cruise ships left the same port. After two hours, Ship A is 30 miles west and 18 miles north of the port and Ship B is 10 miles west and 27 miles south of the port. If there is a tug boat located one-fifth of the way from Ship A to Ship B, find the location of the tug boat relative to the port.

Answers

Answer:

30.83 miles

Step-by-step explanation:

Distance of ship A from port is x

X²= 18²+30²

X²= 324+900

X²=1224

X=34.9857 miles

Bearing from port

Tan tita= 18/30

Tita = tan^-1 3/5

Tita= 31°

N 31° E

Distance of ship B from port is y

Y²= 27²+10²

Y²= 729+100

Y²= 829

Y=28.7924 miles

Bearing from port

Tan tita= 2.2

Tita= 69.7°

90-69.7= 20.3

N 20.3°W

Distance between the two ships is z

Z²=34.9857²+28.7924²-2(24.9857)(28.7924)cos(31+69.7°)

Z²= 2053+267.1

Z²= 2320.1

Z=48.18 miles

One fifth of 48.18

=9.63 miles

Distance of the boat is D

D/sin 60 = 34.9857/sin 100.7

D=30.83 miles

Solve for x. x/3≤−6 A. x≥−18 B. x≤−18 C. x≥−2 D. x≤−2

Answers

Answer:

Step-by-step explanation:

x/3 ≤ -6

x ≤ -18

answer is B

Answer:

B

Step-by-step explanation:

it is simple easy..first you have to through your 3 become times with -6,then you have your answer

Find the solution set. |x| = -4 A. { } B. {-2, 2} C. {-4, 4} D. {-16, 16}

Answers

Answer:

A. { }

Step-by-step explanation:

Absolute value cannot be less than zero.

-4 < 0

There is no solution for x, ∈, R.  

Hope this helps.

Can you see ninths? How many lemon cookies will you eat if you eat 4/9 of the cookies?

Answers

Answer: well this really depends on how many cookies were there in the first place if there was 9 you would have eaten 4 if there was 18 you would have eaten 8.

evaluate the power 15 to the second power ​

Answers

Answer:

225

Step-by-step explanation:

[tex]15^{2}[/tex]

15×15

225

Marvin wages are
for moving 480 crates at a piecework rate of $1.50 per crate.
$720
O $150
None of these
$481.50
$320

Answers

Answer:

The answer to your question is 320

Given an odd function, which of the following transformations would result in an odd function? Check all that apply.
horizontal translation
reflection across the x-axis
vertical stretch
vertical translation

Answers

Answer:

Vertical stretch and reflection across the x axis

Step-by-step explanation:

Vertical stretch and reflection across the x-axis are the odd functions.

What is a vertical stretch?

Vertical stretch occurs when a base graph is multiplied by a certain factor that is greater than 1. This results in the graph being pulled outward but retaining the input values (or x). When a function is vertically stretched, we expect its graph's y values to be farther from the x-axis.

What is a vertical reflection over the x-axis?

Another transformation that can be applied to a function is a reflection over the x– or y-axis. A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection reflects a graph horizontally across the y-axis.

Learn more about Vertical stretch here: brainly.com/question/13671886

#SPJ2

how many hours does a owl monkey that lived 27 years get in its lifetime

Answers

Answer:236,520 hours

Step-by-step explanation:

You multiply the years(27) times the number of days in one year(365) which equals 9,855 and then you multiply that by the number of hours in a day(24) so it equals 236,520.

In a two-tailed hypothesis test the test statistic is determined to be Z = -2.5. The p-value for this test is:_______
a. 0.0062
b. -1.25
c. 0.4938
d. 0.025
e. 0.0124

Answers

Answer:

e. 0.0124

Step-by-step explanation:

Given that:

In a two-tailed hypothesis test, the  test statistic is determined to be Z = -2.5

The p-value for this test can be determined from the Z tables at Z = -2.5

Using the EXCEL FUNCTION ( = NORMDIST (-2.5) )

Since the hypothesis is two-tailed, then;

The p-value =  2 × (= NORMDIST (-2.5))

The p-value =  2 × 0.00620

The p-value = 0.0124

The EXCEL FUNCTION computation can be seen in the attached file below.

The body of a 154-pound person contains approximately milligrams of gold and milligrams of aluminum. based on this information, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body?

Answers

This question is incomplete

Complete Question

The body of 154-pound person contains approximately 2 x 10^-1 milligrams of gold and 6 x 10^1 milligrams of aluminum.

Based on this information, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body?

Answer:

300 times

Step-by-step explanation:

From the above question, we are told:

The body of 154-pound person contains approximately 2 x 10^-1 milligrams of gold and 6 x 10^1 milligrams of aluminum.

We create a proportion

2 × 10^-1 mg of gold : 6 × 10^1 mg of aluminum

= 0.2 mg of gold : 60 mg of aluminum

Therefore, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body is calculated as:

60mg ÷ 0.2 mg

= 300

Therefore, the number of milligrams of aluminum in the body is 300 times the number of milligrams of gold in the body

What's wrong with this problem. 2(n+3) = 2n +3

Answers

Answer:

The wrong is while using Distributive property we have to use on both sides here it is only done in one place

2(n+3)=2n+6

-5x^5+35x^4-30x^3 can someone help me pls

Answers

Answer:

if im correct -5^3

Step-by-step explanation:

round 1980 to near hundred

Answers

answer :

2000

explanation :

When rounding to the nearest hundred, you need to use the following rules:

1 ) Round the number up to the nearest hundred if the last two digits in the number are 50 or above. The last two digits are "80" which is higher than 50, therefore you will round up, making 2000 your answer.

2. Eleanor Raymond works full time while her husband, Peter, attends college and works part

time. Their income for the last two weeks consisted of an August 17 paycheck of Eleanor's for

$380.48, $16.50 for a birthday present Peter returned on August 19, Peter's paycheck on

August 21 for $120.00, Peter's sale of some of his college textbooks on August 23 for $13.65,

and a check from Peter's father for $100.00 that arrived August 25. Record and total Eleanor

and Peter's income for this two-week period.

Answers

Answer:

Eleanor and Peter's total income

= $597.63

Step-by-step explanation:

Eleanor's Income:

Paycheck = $380.48

Eleanor's Expenses:

Birthday gift= $16.50

Peter's income

Paycheck = $120

Sales of his college textbook = $13.65

Check from Peter's father= $100

Peter's total income =Paycheck + Sales of his college textbook + Check from Peter's father

= $120 + $13.65 + $100

= $233.65

Eleanor and Peter's total income

= Eleanor's Income + Peter's total income - Eleanor's Expenses

= $233.65 + $380.48 - $16.50

= $597.63

Eleanor and Peter's total income

= $597.63

I need help I’m confuse

Answers

Answer:

5. y=-1 (the line of reflection)

6. 90 degrees CCW

7. move the figure 4 units right

8. Increase or multiply the figure by two...

Step-by-step explanation:

7.(add 4 to every x value) and 6 down (subtract 6 from every y-value)

8.J is 2 units up and one unit left of the origin so you'd multiply it by 2 so that it is 4 units up and 2 units left of the orgin. Repeat this for every point of the triangle

A football field is 120 yards by 53.333 yards. What is the area of the football field in acres if 1 acre=43560 ft?? Use correct
significant figures when answering this question.

Answers

Answer:

The area of the pitch in an acre is  1.32 acre

Step-by-step explanation:

This problem requires to test our understanding of unit conversion, and we are expected to present our answer in an acre

first, let us convert from the yard to feet

given that the dimension of the pitch is

120 yards by

53.333 yard

1 yard is 3 foot

120 yards will give x

cross multiply we have

x1= 120*3

x1= 360 feet

also the second dimension is

x2= 53.333*3

x2= 159.999

x2= 159.999 feet

the area of the pitch is

area= 159.999*360

area= 57599.64 ft^2

Note: an acre is a unit for land area (1 acre=43560 ft^2)

if 1 acre = 43560 ft^2

x acre =  57599.64 ft^2

cross multiply we have

x acre =  57599.64/43560

x acre = 1.32 acre

Fill in the blank with either E or Enot to make the statement true.35_{2, 17, 21, 35} Choose the correct symbol below.a. Eb. E not

Answers

Answer:

Step-by-step explanation:

Fill in the blank with either E (true statement) or E NOT (false statement).

Series: 2, 17, 21, 35, _

The answer is (B) E NOT because the statement is untrue.

This is because of the absence of numerical flow in the series.

A recipe for 24 cookies requires 1/2 cups of sugar. If Ben wants to make 36 cookies, how much sugar does he need?

Answers

Answer:

3/4 cups

Step-by-step explanation:

Answer:

2 1/4 cups

Step-by-step explanation:

Hope this helps.

PLEASE HELP !
The equation x-7/2=-11 is solved in several steps below. For each step , choose the reason that best justifies it

Answers

Answer:

1. Muliplication Property of Equality

2. Simplifying

3. Addition Property of Equality

4. Simplifying

Step-by-step explanation:

First, get x-7 by itself by multiplying 2 on both sides. Simplify both sides to get x-7=-22. Add 7 to both sides to get x by itself to get x=-15.

If the expanded form is 2 x 2 x2 x 3 x 3 x 5 x 7 what is the exponential form

Answers

Answer:

2^3 * 3^2 * 5*7

Step-by-step explanation:

2 x 2 x2 x 3 x 3 x 5 x 7

We have 3  2's multiplied together

2^3

2 3's multiplied together

3^2

one 5 and one 7

2^3 * 3^2 * 5*7

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