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2 years ago

Choose an appropriate unit of measurement for each quantity

Mathematics

1 answer:

tangare [24]2 years ago

4 0

下兩一習床我門木戈來登九儡剪水門錄口驗啊卜

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HELP!!!!!<br> HELP!!!!<br> HELP!!!!!<br> PLEASE!!!

sashaice [31]

Answer:

B is the answer. Just substitute 14 in for x.

Step-by-step explanation:

8 0

2 years ago

Use induction to prove: For every integer n > 1, the number n5 - n is a multiple of 5.

nignag [31]

Answer:

we need to prove : for every integer n>1, the number $n^{5}-n$ is a multiple of 5.

1) check divisibility for n=1, $f(1)=(1)^{5}-1=0$ (divisible)

2) Assume that $f(k)$ is divisible by 5, $f(k)=(k)^{5}-k$

3) Induction,

$f(k+1)=(k+1)^{5}-(k+1)$

$=(k^{5}+5k^{4}+10k^{3}+10k^{2}+5k+1)-k-1$

$=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k$

Now, $f(k+1)-f(k)$

$f(k+1)-f(k)=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k-(k^{5}-k)$

$f(k+1)-f(k)=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k-k^{5}+k$

$f(k+1)-f(k)=5k^{4}+10k^{3}+10k^{2}+5k$

Take out the common factor,

$f(k+1)-f(k)=5(k^{4}+2k^{3}+2k^{2}+k)$ (divisible by 5)

add both the sides by f(k)

$f(k+1)=f(k)+5(k^{4}+2k^{3}+2k^{2}+k)$

We have proved that difference between $f(k+1)$ and $f(k)$ is divisible by 5.

so, our assumption in step 2 is correct.

Since $f(k)$ is divisible by 5, then $f(k+1)$ must be divisible by 5 since we are taking the sum of 2 terms that are divisible by 5.

Therefore, for every integer n>1, the number $n^{5}-n$ is a multiple of 5.

3 0

2 years ago

Help please solve for ABC i will give brainlest

Verizon [17]

Answer:

-9

Step-by-step explanation:

You subtract 2x-6 that gives you -3

You add 3x+31 that gives you 3

You multiply your to answers -3x3

And you get -9 Hope this helps!!!!

HAVE A NICE DAY

8 0

2 years ago

What is 5879 rounded to the nearest hundredth

Oduvanchick [21]

The answer is 5900 as 879 in 5000 is closer to 900 rather than 800.

3 0

3 years ago

There are 4 trucks for every 5 cars in a parking lot. How many trucks and cars could be in the parking lot?

Anastasy [175]

The answer is c. 64 divided by 4 is 16 and 8 divided by 5 is 16

7 0

2 years ago

Read 2 more answers