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mixer [17]
3 years ago
5

5(x + 3) - (9x - 4)

Mathematics
1 answer:
DerKrebs [107]3 years ago
5 0

Answer:

-4x + 11

Step-by-step explanation:

Distribute and then Simplify

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If the maximum acceleration that is tolerable for passengers in a subway train is 1.74 m/s2 and subway stations are located 930
Free_Kalibri [48]
Given that the subway stations are 930 m apart, the train have to be accerelated for half the distance and then decerelated for the rest of the distance.

Recall that the distance travelled by an object with an initial velocity, u, for a period of time, t, at an accereration, a, is given by
s=ut+ \frac{1}{2} at^2

But, we assume that the train accelerates from rest, thus
s=\frac{1}{2} at^2 \\  \\ \Rightarrow465=\frac{1}{2}(1.74)t^2 \\  \\ \Rightarrow t^2=534.48 \\  \\  \Rightarrow t=\sqrt{534.48}=23.12

The maximum speed is attained at half the center of the distance between subway stations (i.e. at distance = 465 m).

Thus, maximum speed = distance / time = 465 / 23.12 = 20.11 m/s.
6 0
3 years ago
Suppose the claim size of an auto collision insurance, X, is uniformly distributed on the interval $1,000 to $10,000. What is th
timurjin [86]

Answer:

35.35%

Step-by-step explanation:

If there were no deductibles, the expected claim payment would be:

E(X) = \frac{10,000 +1,000}{2} \\E(X) =\$5,500

If the collision insurance claim is under $2,000, then the insurer would not pay anything, but if X > $2,000, then the insurer would pay X - $2,000. The new expected value is:

E_2(X)=\frac{2,000-1,000}{10,000-1,000} *0+\frac{10,000-2,000}{10,000-1,000}*\frac{(2,000-2,000)+(10,000-2,000)}{2} \\E_2(X)=\frac{8}{9}*\frac{0+8,000}{2}\\ E_2(X)=\$3,555.56

The percentage reduction on the claim payment is:

P=(1-\frac{E_2(X)}{E(X)})*100 \\P=(1-\frac{3,555.56}{5,500})*100\\P=35.35\%

There was a 35.35% reduction.

8 0
3 years ago
The rationalizing factor of 1/√13 is
SashulF [63]

Answer:

Exact Form: √13/13

Decimal Form: 0.27735009…

Step-by-step explanation:

7 0
3 years ago
PLEASE HELP I DONT KNOW
riadik2000 [5.3K]

Answer:

d, diameter

Step-by-step explanation:

radius is half of a diameter, or the distance from the center of the circle to the circumference

circle is a... circle

center is...

5 0
3 years ago
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What is the slope of the line that passes through the points (4, 8) and (-3, 1)?
blondinia [14]

Answer:

1

Step-by-step explanation:

6 0
3 years ago
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