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AysviL [449]
3 years ago
8

As shown, a section of a roller coaster track (figure 3) follows the form of y=(2/3)x1.5. locate the centroid x? of the track be

tween x=0 m and x=3.5m
Mathematics
1 answer:
LiRa [457]3 years ago
3 0
F(x)=(2/3)x^1.5

The centroid position along the x-axis can be obtained by 
integrating the function * x to get the moment about the y-axis, 
then divide by the area of the graph,
all between x=0 to x=3.5m.

Expressed mathematically,
x_bar=(∫f(x)*x dx )/(∫ f(x) dx  limits are between x=0 and x=3.5m
=15.278 m^3 / 6.1113 m^2
=2.500 m
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nataly862011 [7]

Answer:

3 and 4 it is 60

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2 years ago
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The sum of three consecutive even integers is 66. Which equation represents the scenario? x = 66
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Answer:

(D)

x + (x + 2) + (x + 4) = 66

5 0
3 years ago
The price of a ring was increased by 9% to £1800. What was the price before the increase? Give your answer to the nearest penny.
Alla [95]

Answer:

see steps

Step-by-step explanation:

New price  was increase from 100% to 109% at £1800.

By proportionality,

old price / 100% = 1800 / 109%

Cross multiply to get

old price = $1800 * 100% / 109% = £1651.38

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3 years ago
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aura, brian and eric have a total of $86 in their wallets. eric has 2 times what brian has. laura has $6 less than brian. how mu
Law Incorporation [45]

Answer:

The money that Aura has is $17

The money that Brain has is $23

The money that Eric has is $46  .

Step-by-step explanation:

The sum of total money does Aura , Brain , Eric have = $86

The money that Eric has = 2 times money that Brain has

The money that Aura has = $6 less than that Brain has

Let The money that Aura has = $A

Let The money that Brain has = $B

Let The money that Eric has = $E

Now, According to question

∵ Sum of total money does Aura , Brain , Eric have = $86

So, $A + $B + $E = $86

Or, A + B + E = 86           .........1

Again

E = 2 × B                           ..........2

Again

A = B - 6                            ..........3

So, (B - 6) + B + 2 B = 86

Or, (B + B + 2 B) = 86 + 6

Or, 4 B = 92

∴   B = \dfrac{92}{4}

i.e B = 23

So,The money that Brain has = B = $23

Putting the value of B in eq 2

∵  E = 2 × B

So, E = 2 × 23

Or, E = 46

So,The money that Eric has = E = $46

Putting the value of B in eq 3

∵ A = B - 6

So, A = 23 - 6

Or, A = 17

So,The money that Aura has = A = $17

Hence, The money that Aura has is $17

The money that Brain has is $23

The money that Eric has is $46  . Answer

6 0
3 years ago
A 2000-gallon metal tank to store hazardous materials was bought 15 years ago at cost of $100,000. What will a 5,000-gallon tank
harkovskaia [24]

Answer:

The value  is P_o = \$ 561958.9

Step-by-step explanation:

From the question we are told that

  The capacity of the metal  tank is  C =  2000 \  gallon

   The duration usage is  t = 15\ years \ ago

   The cost of 2000-gallon tank 15 years ago is P =  \$100,000

    The capacity of the second tank considered is C_1 = 5,000  

    The power sizing exponent is e = 0.57

     The initial construction cost index is  u_1 = 180

      The new construction after 15 years cost index is  u_2 =600

Equation for the power sizing exponent is mathematically represented as

      \frac{P_n}{P} = [\frac{C_1}{C} ]^{e}

=> Here P_n is the cost of 5,000-gallon tank as at 15 years ago  

So

     P_n  =  [\frac{5000}{2000} ] ^{0.57} * 100000

      P_n  =  \$168587.7

Equation for the cost index exponent is mathematically represented as

      \frac{P_o}{P_n}  =  \frac{u_2}{u_1}

HereP_o is the cost of 5,000-gallon tank today

So

       \frac{P_o}{168587.7}  =  \frac{600}{180}

=>    P_o = \frac{600}{180} * 168587.7

=>      P_o = \$ 561958.9

8 0
3 years ago
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