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Mariulka [41]
2 years ago
11

Simplify this expression. 8.9 – 1.4x + (–6.5x) + 3.4

Mathematics
1 answer:
Svetlanka [38]2 years ago
4 0

Answer:

-7.9x+12.3

Step-by-step explanation:

8.9 – 1.4x + (–6.5x) + 3.4

8.9-1.4x-6.5x+3.4

8.9-7.9x+3.4

-7.9x+8.9+3.4

-7.9x+12.3

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So we want to know the product of 0.0000012 and 3.65*10^8 in the scientific form. First we turn 0.0000012 to scientific form: 0.0000012=1.2*10^-6. Now we multiply: (1.2*10^-6)*(3.65*10^8)=1.2*3.65*(10^-6)*(10^8)=4.38*10^(-6+8)= 4.38*10^2. So the correct product is 4.38*10^2.
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2 years ago
Poiseuille's Law gives the rate of flow, R, of a gas through a cylindrical pipe in terms of the radius of the pipe, r, for a fix
Zina [86]

Answer:

a) R(r) = kr⁴

b) R(r) = 1.5625 r⁴

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Step-by-step explanation:

Rate of flow of a gas through a cylindrical pipe = R

radius of the pipe = r

a) R ∝r⁴

R(r) = kr⁴ where k is the proportionality constant.

R(r) means R is a function of r.

b) R(r) = kr⁴

R = 400 cm³/s, r = 4 cm

400 = k × 4⁴

k = 400/4⁴ = 400/256 = 1.5625 (cm.s)⁻¹

R(r) = 1.5625 r⁴

c) R(r) = 1.5625 r⁴

R = ?

r = 3 cm

R = 1.5625 × 3⁴ = 126.5625 cm³/s = 126.56 cm³/s

5 0
2 years ago
Evelyn believes that if she flips a coin 480 times, it will land tails up exactly 240 times. What would you tell Evelyn about he
iragen [17]

Answer:

Step-by-step explanation:

I'd tell her that if (and only if) her prediction is correct, the probability of getting tails is 0.5.  Actually, the probability of getting heads would be the same, 0.5.

In real life she would not necessarily get 240 tails out of 480 tosses, but the mean value of the number of tails would indeed be close to 0.5.

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qaws [65]

Answer:

Step-by-step explanation:

For each of the yp(x) we can deduce the characteristic polynomial of the differential equation

A.

yp(x)=Ax^2+Bx+C\\m^2=0\\y''=0

B.

yp(x)=Ae^{2x}\\(m-2)m=0\\m^2-2m=0\\y''-2y=0

C.

yp(x)=Acos2x+Bsin2x\\m_1=2i\\m_2=-2i\\y''+4=0

D.

yp(x)=(Ax+B)cos2x+(Cx+D)sin2x\\yp(x)=xcos4x

hope this helps!!

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2 years ago
Alisa says it is easier to compare the numbers in set A than the numbers in set B
kvv77 [185]
I am not sure is this is right, but you could say that set A has a number in the millions, which makes in easier to set apart from the other one.
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