answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
guajiro [1.7K]
2 years ago
11

If a cube-shaped cell is 3 units tall by 3 units wide and 3 units long, what is the cell's surface-area-to volume ratio?

Mathematics
1 answer:
bulgar [2K]2 years ago
7 0
The cube has 6 sides, each a square with dimensions 3 by 3, 

the area of any of these squares is 3*3=9 square units.

The total area of the cube is 6*9 square units=54 square units


The volume of a cube with side length a is given by : \displaystyle{ V_{cube}=a^3, thus the volume of the cube-shaped cell is 3*3*3=27 cube units.


(surface area):(volume)=54:27 = 2:1 =2

Answer: 

the ratio of the numerical values is 2

(their ratio including units is 2/unit 
You might be interested in
Use the binomial theorem to show that 7^n + 2 is divisible by 3, where n is a positive integer.
masha68 [24]

By the binomial theorem,

7^n=(6+1)^n=6^n+n6^{n-1}+\dbinom n26^{n-2}+\cdots+\dbinom n{n-2}6^2+n6^1+1

Each term containing a factor 6 is divisible by 3, since 3 divides 6. The remaining 1 and 2 sum to 3, which is also divisible by 3.

7 0
1 year ago
Markup = original cost × percentage markup selling price = original cost + markup The manufacturing cost of a cell phone was $12
strojnjashka [21]

C.) Old Price: $148.80; New Prices: $142.60

Using The Formula Given

M = O x P = O + M

Markup Value After 20% Is $148.80

Markup Value After 15% is $142.60

8 0
1 year ago
What is the GCF of x2 and x9?​
zepelin [54]

Answer:

x²

Step-by-step explanation:

Given the values x² and x^9

The greatest common factor is the factors common to two or more compared values :

Factors of :

x² = x * x

x^9 = x * x * x * x * x * x * x * x * x

Multiplying the Factors in both are : x * x = x²

Similarly :

___|x² | x^9

_ x | x | x^8

_ x | 1 | x^7

There is no factor which can reduce both further simultaneously, Hence the G. C. F = (x * x) = x²

3 0
2 years ago
What single decimal multiplier would you use to decrease by 6% followed by a 19% increase?
Kryger [21]

Answer: 13% increase?

Step-by-step explanation: 19-6=13 which means it would be 1.13 the original amount?

7 0
2 years ago
Read 2 more answers
A Deloitte employment survey asked a sample of human resource executives how their company planned to change its workforce over
marishachu [46]

Answer:

employment plan for the next 12 months is not independent of the type of company

Step-by-step explanation:

H0 : employment plan for the next 12 months is independent of the type of company

H1 : employment plan for the next 12 months is not independent of the type of company

The Chisquare statistic, χ² :

χ² = (observed - Expected)²/ Expected

Given the data:

Observed values :

_________________ Company

Emp plan ________ private _____ public _total

Add employees _____ 37 ________ 32 __ 69

No change__________19 ________ 34 __53

Layoff employees ____ 16 ________ 42__58

Total ______________72 ________108 _ 180

The expected value counts :

(Row total * column total) / grand total

Expected Values:

27.6 ___41.4

21.2 ___ 31.8

23.2 ___34.8

Chi-Squared Values:

3.20145 ___2.1343

0.228302__ 0.152201

2.23448 ____1.48965

χ² = (3.20145 + 2.1343 + 0.228302 + 0.152201 + 2.23448 + 1.48965)

χ² = 9.440383

Degree of freedom, df (row - 1) * (column - 1) = (3-1) * (2 - 1) = 2 * 1 = 2

Pvalue from Chisquare statistic, df = 2

Pvalue = 0.008913

Since ;

Pvalue < α ; We reject the null and conclude that employment plan for the next 12 months is not independent of the type of company.

4 0
1 year ago
Other questions:
  • the speed of two insects equal the same speed when rounded to the nearest whole number; dragonfly:6.974 ;horsefly:3.934 ;bumbleb
    5·2 answers
  • A carpenter is building a rectangular bookcase with diagonal braces across the back, as shown. The carpenter knows that angle AD
    8·1 answer
  • Your company has offices in 2 cities. The Denver office has 137 employees with an average salary of $67,013. The Anchorage offic
    10·2 answers
  • Consider the polynomial equation x(x-3)(x+6)(x-7)=0
    13·1 answer
  • Marley bakes a rectangular cake that is 20 inches wide, 12 inches long and 6 inches high. She removes the cake from the pan to f
    11·1 answer
  • A circle is centered at the point -3 2 and passes through the point 1 and 5 the radius of the circle is blank units
    10·1 answer
  • Asap pls help and explain
    8·1 answer
  • A pure acid measuring x liters is added to 300 liters of a 20% acidic solution. The concentration of acid, f(x), in the new subs
    12·2 answers
  • Suppose that the ages of members in a large billiards league have a known standard deviation of σ = 12 σ=12sigma, equals, 12 yea
    9·1 answer
  • Serena worked 18 hours last week for a landscaper. She worked 1/3 of those hours planting flowers and 1/2 of those hours mowing
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!