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NeTakaya
3 years ago
12

The average housecat sleeps about 2/3 of the day. Most people sleep about 1/3 of a day. Do housecats or people sleeper a greater

fraction of the day?
Mathematics
1 answer:
Alenkasestr [34]3 years ago
5 0

Answer:

House cats sleep a greater fraction of the day than people.

Step-by-step explanation:

We are given the following in the question:

Average time a house cat sleeps =

\dfrac{2}{3}\text{ of a day}

Average time people sleeps =

\dfrac{1}{3}\text{ of a day}

Comparison:

\dfrac{2}{3} > \dfrac{1}{3}

Thus, house cats sleep a greater fraction of the day than people.

You might be interested in
. Suppose that at UVA, 76% of all undergraduates are in the College, 10% are in Engineering, 7% are in Commerce, 3% are in Nursi
xxMikexx [17]

Answer: 34.2%

Step-by-step explanation:

76% of undergrads in The College

45% of those are male (since 55% female)

.76 x .45 = 34.2% of all undergrads are males in The College

4 0
3 years ago
25. A sequence of positive integers with 2020 terms is called an FT sequence if each term
lana66690 [7]

Answer:

The first term in the sequence is odd-valued and so there are m choices for it.2020 Gauss Contest Solutions Page 19

The second term in the sequence is even-valued and so there are m − 1 choices for it.

Thus, there are a total of m × (m − 1) FT sequences that begin with an odd-valued term

followed by an even-valued term.

Finally, we consider the FT sequences that begin with an even-valued term followed by an

odd-valued term (Parity #4).

Again, there are exactly twice as many odd-valued terms as there are even-valued terms in the

first 2019 terms (since the pattern repeats even, odd, odd).

However in this case, the 2020th term is even and so there are fewer than twice as many odd valued terms as there are even-valued terms.

Thus, there are m2 + m × (m − 1) FT sequences that satisfy the required conditions.

Since there are 2415 such FT sequences, we may solve m2 + m × (m − 1) = 2415 by trial and

error.

Evaluating m2 + m × (m − 1) when m = 30, we get 302 + 30 × 29 = 1770, and so m is greater

than 30.

When m = 33, we get 332 + 33 × 32 = 2145.

When m = 34, we get 342 + 34 × 33 = 2278.

When m = 35, we get 352 + 35 × 34 = 2415, as required.

Answer: (D)

Step-by-step explanation:

8 0
3 years ago
The volumes of two spheres are in a ratio of 1:8 what is the eatio rafi
Agata [3.3K]
Remark
I take it that you want to know the ratio of the radii. If this is not correct, leave a comment below my answer.

You could do this by giving the spheres a definite volume, like 1 and 8 and then solve for r for one of them and then use the other sphere to find it's radius. It is not exactly the best way, and if you are going to to a physics class you want to be doing this using cancellation. 

Step One 
Set up the Ratio for the volumes.

\frac{V_1}{V_2} =  \frac{1}{8}

Step Two
Setup the equation for V1/V2 using the definition for a sphere. V = 4/3 pi r^3

\dfrac{1}{8} =  \frac{ \frac{4}{3} \pi( r_1)^3 }{ \frac{4}{3} \pi( r_2)^3 }

Step Three
Cancel the 4/3 and pi on the top and bottom of the fractions on the right.

You are left with 1/8 = (r1)^3/ (r2)^3

Step Four
Take the cube root of both sides.
cube root 1/8 = 1/2

Cube root of (r1)^3 = r1
Cube root of (r2)^3 = r2

Step  Five
Answer
\frac{r_1}{r_2} =  \frac{1}{2}   Answer <<<<<<<
8 0
3 years ago
I didn’t pay attention in class help
Alona [7]

Answer:

The 1/4th power means the 4th root of a number.

Therefore for the first question, the answer should be 4th root of 1296 -4th root of 625. or \sqrt[4]{1296}

4

1296

-\sqrt[4]{625}

4

625

:D

For the second question just calculate? what to the 4th power is 1296 and what to the 4th power is 625?

They should respectively be 6 and 5. So the final answers we get is 6-5=1

If you have any questions about this just ask me in the comment and I will get to it as soon as I could.

hopecthis helps

4 0
3 years ago
F(x) = 5x + 7<br> and<br> g(x) = -2x - 4<br> Find<br> g(f(x)) = [?]x + [?]
zepelin [54]

Answer:

Step-by-step explanation:

f(x)=5x+7

g(x)=-2x-4

g(f(x))=g(5x+7)=-2(5x+7)-4=-10x-14-4=-10x-18

=-10x+(-18)

4 0
1 year ago
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