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son4ous [18]
3 years ago
6

It is known that the point P(−9, 18) belongs to the graph of the function y= k/x . Find k.

Mathematics
1 answer:
Kaylis [27]3 years ago
4 0

Answer:

-162

Step-by-step explanation:

y = k / x

Plug in values.

18 = k / -9

Solve for k by multiplying both sides by -9.

k = -162

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a sample from a mummified bull was taken from a certain place. The sample shows that 71% of the carbon-14 still remains. how old
7nadin3 [17]

Answer:

Step-by-step explanation:

Decay of carbon - 14 is exponential in nature . It decays as follows .

N=N_0e^{-\lambda t}  λ is called decay constant .

λ = .693 / T where T is half life .

Half life of carbon-14 is 5700 years

λ = .693 / T

= .693 / 5700

= 12.158 x 10⁻⁵ year⁻¹

N=N_0e^{-\lambda t}

N = .71 N₀

.71 N_0 =N_0e^{-\lambda t}

.71  =e^{-\lambda t}

Taking ln on both sides

ln .71 = - λ t

ln .71 = - 12.158 x 10⁻⁵  t

-0.3425 =  - 12.158 x 10⁻⁵  t

t = .3425 / 12.158 x 10⁻⁵

2817  years .

6 0
3 years ago
Which of the following sets contains only rational numbers?
ICE Princess25 [194]

Answer: rational numbers

D. {3.2, 81, 45.41, √81}


3.2 = 32/10

45.41 = 4541/100

√81 = 9 = 9/1

3 0
3 years ago
80% of the six graders at Harrison middle school Are going on a field trip to the museum there a total of 685 students in six gr
irga5000 [103]
80% converted to a decimal is 80/100=0.8

Multiply the total with the percent 685*0.80

The answer is 540
8 0
3 years ago
How many 4-letter “words” can be made using all the letters in BEEP, if the two Es are indistinguishable? Two such “words” to in
marshall27 [118]

beep and peeb and bee and pee

3 0
3 years ago
CAN SOMEONE HELP ME WITH THIS QUESTION!!!
earnstyle [38]

Answer:

E

Step-by-step explanation:

let a, b, c represent the number of students in 6th, 7th, 8th grade

ratio of students : teachers = 28 : 1

There are 82 teachers , so 28 × 82 = 2296 students

Then

a + b + c = 2296 , that is

828 + b + c = 2296 ( subtract 828 from both sides )

b + c = 1468 → E

8 0
2 years ago
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