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timurjin [86]
3 years ago
5

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

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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
What is the inverse of cube root x/3 +1
Ostrovityanka [42]

Answer:

{f}^{ - 1} (x) = 3 {x}^{2}  - 3

Step-by-step explanation:

We want to find the inverse of

y = \sqrt[3]{ \frac{x}{3} + 1}

We interchange x and y to get:

x= \sqrt[3]{ \frac{y}{3} + 1}

We solve for y;

{x}^{2}  =  \frac{y}{3}  + 1

Multiply through by 3

3 {x}^{2}  = y + 3

Subtract 1 from both sides:

y = 3 {x}^{2}  - 3

Therefore the inverse is

{f}^{ - 1} (x) = 3 {x}^{2}  - 3

8 0
3 years ago
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