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3 years ago

Evaluate the expression: 10P3

Mathematics

1 answer:

anyanavicka [17]3 years ago

4 0

Answer:

720

Step-by-step explanation:

nPk = n!/(n-k)!

10P3 = 10!/(10-3)! = 10!/7!

= 10·9·8 = 720

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Which of the following represents the prime factortzation of 72?

rjkz [21]

Answer:

2³ x 3²

Step-by-step explanation:

The prime factorization of a number is the process of breaking down a number to a set of prime numbers that their product will give the original number:

2 x 36

2 x 2 x 18

2 x 2 x 2 x 9

2 x 2 x 2 x 3 x 3

So;

The prime factorization is 2³ x 3²

8 0

3 years ago

To lose one pound of fat, a 200-pound person must burn 3,500 calories. If that person burns 180 calories by walking for 30 minut

SVEN [57.7K]

Answer:

C - 19 hours 27 minutes

Step-by-step explanation:

180 × 2 = 360

360 calories in an hour

3500 × 2 = 7000 (amount of calories in 2 pounds)

7000 ÷ 360 = 19.4444...

I hope this helps

4 0

2 years ago

3.5/14 as a decimal <br> pls help

Kisachek [45]

Answer:

0.25

Step-by-step explanation:

3.5 divided by 14

3.5 ÷ 14 = 0.25

6 0

2 years ago

Walter invests $100,000 in an account that compounds interest continuously and earns 12%. How long will it take for his money to

prohojiy [21]

Answer:

$300000= 100000 e^{0.12 t}$

We divide both sides by 100000 and we got:

$3 = e^{0.12 t}$

Now we can apply natural logs on both sides;

$ln(3) = 0.12 t$

And then the value of t would be:

$t = \frac{ln(3)}{0.12}= 9.16 years$

And rounded to the nearest tenth would be 9.2 years.

Step-by-step explanation:

For this case since we know that the interest is compounded continuously, then we can use the following formula:

$A =P e^{rt}$

Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.

For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means $A= 300000$ and we want to find the value for t.

$300000= 100000 e^{0.12 t}$

We divide both sides by 100000 and we got:

$3 = e^{0.12 t}$

Now we can apply natural logs on both sides;

$ln(3) = 0.12 t$

And then the value of t would be:

$t = \frac{ln(3)}{0.12}= 9.16 years$

And rounded to the nearest tenth would be 9.2 years.

5 0

3 years ago

4(x^2 - 5) + 2(3x^2 + 6)

Dmitriy789 [7]

Answer:

=10x2−8

Step-by-step explanation:

4(x2−5)+2(3x2+6)

Distribute:

=(4)(x2)+(4)(−5)+(2)(3x2)+(2)(6)

=4x2+−20+6x2+12

Combine Like Terms:

=4x2+−20+6x2+12

=(4x2+6x2)+(−20+12)

=10x2+−8

5 0

2 years ago

Read 2 more answers