FACTORIAL EXPLANATION- Explain the best way to evaluate 900!/899! without a calculator.

Mathematics

1 answer:

In-s [12.5K]3 years ago

3 0

900! is really 900 * 899 * 898 * 897 * 896 * 895 ......... * 3 * 2 * 1.

899 is really 899 * 898 * 897 * 896 * 895 ......... * 3 * 2 * 1.

$\bf \cfrac{900!}{899!}\implies \cfrac{900\cdot 899!}{899!}\implies 900\cdot \cfrac{899!}{899!}\implies 900\cdot 1\implies 900$

You might be interested in

0.2(x + 15) = 0.5(3x - 7)

Dafna1 [17]

Are you asking if this is greater than, less than, or equal to?

8 0

3 years ago

Bamboo plants grow rapidly. A bamboo plant is 130 inches tall. Tomorrow it will be 143 inches tall, the next day it will be 156

tensa zangetsu [6.8K]

An arithmetic sequence has a common difference.
143 - 130 = 13
156 - 143 = 13
169 - 156 = 13
The common difference is 13.

a1 = 130
a2 = 130 + 13
a3 = 130 + 2 * 13
a4 = 130 + 3 * 13
...
an = 130 + (n - 1) * 13

an = 130 + 13(n - 1)

an = 130 + 13n - 13

an = 117 + 13n

an = 13n + 117

4 0

3 years ago

Ike has a paper route. When he carries the Sunday paper his backpack is very heavy and Ike ends up with very sore shoulders.Ike

RideAnS [48]

If Ike does not want more than 20 pounds in his backpack, this means he wants less than or equal to 20 pounds in his backpack. Because each paper costs 1/3 pound, this can be used as the rate of change and we can set up the following inequality:

1/3x < 20

To solve this inequality, we should divide both sides of the equation by 1/3.

x < 60

Because this inequality means that x is less than or equal to 60, the answer is that Ike can carry 60 papers in his backpack.

Hope this helps!

8 0

3 years ago

What is the product of 8.4 times the quantity of 10 raised to the power of 7

TEA [102]

84,000,000 is the answer

6 0

3 years ago