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2 years ago

NEED ANSWER ASAP. WILL MARK THE BRAINLIEST

Mathematics

2 answers:

rjkz [21]2 years ago

8 0

Answer:

f(2)=16/3

Step-by-step explanation:

f(2)=1/3 (4^2)

f(2)=1/3(16)

f(2)=16/3

Vikentia [17]2 years ago

5 0

Answer:32/3

Step-by-step explanation:

1/3(2)4^2

1/3(2)(4^2)

2/3(16)

32/2

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Answer:

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Step-by-step explanation:

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2 years ago

Find the tenth term in each sequence. -1,2/3,7/3,4,17/3

Luba_88 [7]

It'a an arithmetic sequence:

$a_1=-1\\\\a_2=-1+\dfrac{5}{3}=-\dfrac{3}{3}+\dfrac{5}{3}=\dfrac{2}{3}\\\\a_3=\dfrac{2}{3}+\dfrac{5}{3}=\dfrac{7}{3}\\\\a_4=\dfrac{7}{3}+\dfrac{5}{3}=\dfrac{12}{3}=4\\\\a_5=4+\dfrac{5}{3}=\dfrac{12}{3}+\dfrac{5}{3}=\dfrac{17}{3}\\\vdots\\\\\text{The general formula for nth term of an arithmetic sequence}\\\\a_n=a_1+(n-1)d\\\\\text{We have}\ a_1=-1\ \text{and}\ d=\dfrac{5}{3}.\\\\\text{Substitute}\\\\a_n=-1+(n-1)\left(\dfrac{5}{3}\right)=-1+\dfrac{5}{3}n-\dfrac{5}{3}=\dfrac{5}{3}n-\dfrac{3}{3}-\dfrac{5}{3}$

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2 years ago

The time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with l=0.0003

Dvinal [7]

Answer: 0.0497870 ; 0.87754

Step-by-step explanation:

Given that :

λ = 0.0003

Defining a continuous distribution function :

F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0

a. What proportion of the fans will last at least 10,000 hours?

P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870

b. What proportion of the fans will last at most 7000 hours?

P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)

1 - 0.12245642825 = 0.87754

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2 years ago

Joel’s veterinarian tells him that he can give his dog 11 5/8 mg of Benadryl for relief of his dogs allergies. Joel’s dog weighs

Sav [38]

Step-by-step explanation:

Given that,

The dosage of Benadryl for Dog is $11\dfrac{5}{8}\ mg$

Weight of Joel's Dog is $15\dfrac{1}{2}\ \text{pounds}$

(a) Benadryl dosage per pound for Joel’s dog is calculated as :

$\dfrac{11\dfrac{5}{8}}{15\dfrac{1}{2}}=\dfrac{\dfrac{11\times 8+5}{8}}{\dfrac{15\times 2+1}{2}}\\\\=\dfrac{\dfrac{93}{8}}{\dfrac{31}{2}}\\\\=\dfrac{93}{8}\times \dfrac{2}{31}\\\\=0.75\ \text{dosage per pound}$

(b) If the weight of the Dog is 12 pounds, it means

$\dfrac{11\dfrac{5}{8}}{12}\ \text{dosage per pounds}\\\\=\dfrac{\dfrac{93}{8}}{12}\\\\=\dfrac{93}{8}\times \dfrac{1}{12}\\\\=0.968\ \text{dosage per pounds}$

Therefore, this is the required solution.

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2 years ago