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AURORKA [14]
3 years ago
6

Eep help I'll give brainliest if you answer all

Mathematics
2 answers:
ikadub [295]3 years ago
5 0

Answer: 28π, 35π,7π

Step-by-step explanation:

klemol [59]3 years ago
3 0

for number 2 it's 18.45 I think

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Pls answer will get brainliest!!!
crimeas [40]
By using The half-angle formula

cos X/2 = ±√[(1 + cos X)/ 2]
But we have cos x=2/3
= ±√[(1 + 2/3)/ 2]
= ±√[(5/3 )/ 2]
= ±√[(5/5]
=±√1

Therefore answer is ±1

cos A/2 = ±√[(1 + cos A )/ 2]
3 0
3 years ago
A survey was taken of children between the ages of 3 and 7.
larisa86 [58]

Answer:

1/2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Wayne's service center operates a welding shop. Assume that the arrival of jobs follows a Poisson distribution with 2 jobs arriv
Reika [66]

Answer:

a) 0.3125 per hour

b) 2.225 hours

c) 8.9 hours

d) 12.1 hours

e) 80%

Step-by-step explanation:

Given that:

mean time = 3.2 hours, standard deviation (σ) = 2 hours

The  mean service rate in jobs per hour (λ) = 2 jobs/ 8 hour = 0.25 job/hour

a) The average number of jobs waiting for service (μ)= 1/ mean time = 1/ 3.2 = 0.3125 per hour

b) The average time a job waits before the welder can begin working on it (L) is given by:

L=\frac{\lambda^2\sigma^2+(\lambda/\mu)^2}{2(1-\lambda/\mu))} =\frac{0.25^2*0.2^2+(0.25/0.3125)^2}{2(1-0.25/0.3125)}=2.225\ hours

c) The average number of hours between when a job is received and when it is completed (Wq) is given as:

W_q=\frac{L}{\lambda}=2.225/0.25=8.9\ hours

d) The average number of hours between when a job is received and when it is completed (W) is given as:

W=W_q+\frac{1}{\mu} =8.9+\frac{1}{0.3125}=12.1 \ hours

e) Percentage of the time is Gubser's welder busy (P) is given as:

P=\frac{\lambda}{\mu}=0.25/0.3125=0.8=80\%

4 0
3 years ago
Identify the number of terms in the following algebraic expression. 3x + 2y - 5
Irina18 [472]

Answer:

3 term

Step-by-step explanation:

Count the amount of numbers between operations

6 0
3 years ago
If a function f ( x ) has values f ( 4 ) = 6 and f ( 8 ) = 18, use what you have learned about function patterns to find f ( 16
taurus [48]

Answer:

a) f(16) = 42

b) f(16) = 54

c) f(16) = 162

d) f(16) = 30

Step-by-step explanation:

a) y = mx + b ∧ m = (f(8) - f(4))/(8-4) ⇒ m = (18 - 6)/(8 - 4) = 3

b = y - mx = 6 - 3(4) = 6 - 12 = - 6

f(16) = 3(16) - 6 = 42

b) y = kxⁿ ∧ f(4) = 6 = k4ⁿ ∧ f(8) = 18 = k8ⁿ ⇒ 18/6 = (k8ⁿ)/(k4ⁿ) ⇒ 3 = 2ⁿ

n = ㏑(3) / ㏑(2) ⇒ k = y/xⁿ ⇒ k = 6/4ⁿ = 2/3

f(16) = 2/3 × 16ⁿ = 54

c) y = aeᵇˣ ∧ f(4) = 6 = aeᵇ⁴ ∧ f(8) = 18 = aeᵇ⁸ ⇒ 18/6 = (aeᵇ⁸)/(aeᵇ⁴) ⇒ 3 = e⁴ᵇ

b = ㏑(3/4) ∧ a = y / eᵇˣ ⇒ a = 6 / e⁴ᵇ = 2

f(16) = 2eᵇ¹⁶ = 162

d) y = a㏑(bx) ∧ f(4) = 6 = a㏑(b4) ∧ f(8) = 18 = a㏑(b8)

⇒ 18 - 6 = a㏑(b8) - a㏑(b4) ⇒ 12 = a㏑(8b/4b) ⇒ a = 12 / ㏑(2)

f(4) = 6 = a㏑(4b) ⇒ b = (√2)/4

f(16) = a㏑(b16) = 30

3 0
3 years ago
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