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3 years ago

The area of the top face of a cube is 9 square meters. what is the volume of the cube

Mathematics

2 answers:

Luba_88 [7]3 years ago

7 0

for a cube v=a^3, so 9^3= 729

Ahat [919]3 years ago

3 0

Well since its a cube, it's equal on all sides, so all sides are 9 sq m.

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A line that passes through the origin also passes through the point (6,2). What is the slope of the line?

vagabundo [1.1K]

Answer:

slope=1/3

Step-by-step explanation:

y=mx+b

2=m*6+0

m=1/3

7 0

3 years ago

oceanside bike rental shop charges a $17 fixed fee plus six dollars an hour for renting a bike. Tim paid $47 to rent a bike. How

gavmur [86]

Approximately 8 hours

8 0

3 years ago

A and b are natural numbers. The diameter of cell a is 2.3 , and the diameter of cell b is 2.3 .

Pani-rosa [81]

After clarification we see the respective diameters are

$A = 2.3 \times 10^{-a}$

$B = 2.3 \times 10^{-b}$

We're asked about the ratio

$A:B = 2.3 \times 10^{-a} : 2.3 \times 10^{-b} = 10^{-a} : 10^{-b} = 10^b : 10^a = 10^{b-a} : 1$

Now we can go through the choices.

A. If a = 4 and b = 6, then cell a is 100 times greater than cell b.

$A:B=10^{6-4}:1 = 100:1$

It would be more proper to say the diameter of cell A is 100 times the diameter of cell B, but yes, this is TRUE.

B. If a = 4 and b = 6, then cell b is 100 times greater than cell a.

FALSE. 10 to the minus 4 is 100 times bigger than 10 to the minus 6, so a is bigger.

C. If a = 4 and b = 6, then cell a is 2 times greater than cell b.

FALSE. We already calculated its 100 times bigger.

D. If a = 4 and b = 6, then cell b is 2 times greater than cell a.

FALSE.

8 0

3 years ago

Read 2 more answers

Doug, a student in this class, knows how to write programs in JAVA. Everyone who knows how to write programs in JAVA can get a h

In-s [12.5K]

Missing Part of Question

Explain which rules of inference are used in the above

Answer:

Universal instantiation, Modus ponens and Existential generalization

Step-by-step explanation:

Splitting the Statement into two, we have

"Doug knows how to write program is Java"

and

"Doug can get a high paying job"

Represent Doug with x. Then the statements is rewritten as

P(x) = "x knows how to write program is Java"

and

Q(x) = "x can get a high paying job"

In logic, A premise is a statement in an argument that provides reason or support for the conclusion.

So, Statement 1 can be written as

1. P(x) ---- Premise

Then, we have

2. Vx(P(x) --> Q(x)) -- Premise. This mean that P(x) for all values in the domain.

The universal instantiation of (2) leads to

3. P(Doug) --> Q(Doug)

The modus ponens of the above gives

4. Q(Doug)

The existential generalisation from above gives

5. ƎxQ(x)

Which means someone in this class can get a high paying job.

PS:

Universal Instantiation is a valid rule of inference from a truth about each member of a class of individuals to the truth about a particular individual of that class; it is represented by VxP(x).

Existential Generalisation is a valid rule of inference that allows one to move from a specific statement, or one instance, to a quantified generalized statement, or existential proposition.

It is represented as ƎxP(x)

4 0

3 years ago

There are 16 pieces of fruit in a basket, including 2 nectarines. What is the probability that a randomly selected piece of frui

aleksklad [387]

Answer:

The probability is 1/8

Step-by-step explanation:

We have 2 nectarines in a total of 16 pieces of fruit in a basket, so the probability of random selected piece of fruit being a nectarine is the number of nectarines over the total number of pieces of fruit:

Probability = Number of nectarines / Total pieces = 2 / 16

To find the fraction in the simplest form, we divide the numerator and denominator by 2:

Probability = (2/2) / (16/2) = 1/8

3 0

3 years ago