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Brrunno [24]
4 years ago
11

Compute the permutation. A chemist has eight test tubes to examine. In how many orders can he do this examination? 16,777,216 20

,160 40,320
Mathematics
1 answer:
Talja [164]4 years ago
6 0

Answer:

40,320

Step-by-step explanation:

He can pick any one of the eight for the first examination.

He can pick any one of the remaining 7 for the 2nd examination.

He can pick any one of the remaining 6 for the 3rd examination.

...

He can pick any one of the remaining 2 for the 7th examination.

There's one left for the 8th examination.

Thus, there are 8×7×6×5×4×3×2×1 = 8! = 40,320 different possible orders in which the tubes can be examined.

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What is the 32nd term of 311, 305, 299
nata0808 [166]

Answer:

503

Step-by-step explanation:

For an arithmetic sequence, the n-th term is found by

a_n = a_1 + (n - 1)d

To find d (the common difference) we can simply subtract one of the terms by the last, for example:

d = 299 - 305 \\d = -6 \\

The common difference must be the same throughout the entire sequence, so we can do it once more just to be sure:

d = 305 - 311\\d = -6

We also have to know that a_1 stands for the first term of the sequence, which in this case is 311.

Now that we know this, let's find the 32nd term

a_{32} = 311 + (32 - 1)-6\\a_{32} = 311 + 192\\a_{32} = 503

Good luck!

4 0
3 years ago
Read 2 more answers
To make a sports drink for the football team, Jaylen filled \dfrac9{10}
Scilla [17]

The total gallons of sports drink Jaylen made using 9/10 of a large cooler with water and 6 cups of sports drink concentrate is 3.75 gallons

<h3>Total gallons</h3>

  • Water in the large cooler = 9/10

Space remaining = 1 - 9/10

= 10-9 / 10

= 1/10

1/10 = 6 cups

  • Total gallons of sport drink = x

6 cups / total = 1/10

6 × 10 = total × 1

60 cups = total

Cups to gallons:

16 cups = 1 gallon

Total gallons of sport drink, x = 60 cups / 16

= 3.75 gallons

Complete question:

To make a sports drink for the football team, Jaylen filled 9/10 of a large cooler with water. Then, he filled the remaining space with 6 cups of sports drink concentrate. How many gallons of sports drink did Jaylen make?

Learn more about total gallons:

brainly.com/question/26007201

#SPJ1

3 0
2 years ago
Mike forgot to replace the cap on a bottle of room freshener. The room freshener began to evaporate at the rate of 15% per day.
Serggg [28]
For this case we have a function of the form:
 y = A * (b) ^ x&#10;
 Where,
 A: initial amount
 b: decrease rate
 x: time in days
 Substituting values we have:
 y = 40 * (0.85) ^ x&#10;
 Therefore, the graph of the function is a decreasing exponential function in the first quadrant and that has an initial value of 40.
 Answer:
 
graph of exponential function going from left to right in quadrant 1 through the point 0, 40 and approaching the x axis
7 0
3 years ago
Your friend earns $10.50 per hour this is 125% of her hourly wage last year how much did your friend make last year
NNADVOKAT [17]
10.50/5=2.10
2.10*4=8.40
She used to earn $8.50/hr
3 0
3 years ago
On a water ride at the amusement park, a rotating valve sprays water for 15 ft in all directions. What its the area of the circu
andreyandreev [35.5K]
The area is 3.14*r^2 

<span>The rotating valve would be in the center of the circular wet patch so if it's spraying in all directions, then 15 ft = radius. </span>

<span>Now plug it in. </span>

<span>3.14 x (15)^2 = 706.5 ft^2</span>
6 0
3 years ago
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