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Rudik [331]
4 years ago
12

Annette rode her bike 6.8 miles at a constant rate for 90 minutes. To find how fast she traveled, she solved the equation 6.8=x·

90 . What does x represent?
Mathematics
2 answers:
MrMuchimi4 years ago
8 0
X represents her speed in miles per minute (b). To find her speed she would divide distance by time. If you divide 6.8 miles by 90 minutes and solve for x you will be finding her speed.
ivann1987 [24]4 years ago
3 0

Answer:

x represents the velocity of the bike.

Step-by-step explanation:

If velocity of a vehicle is multiplied by time, the distance that the vehicle goes can be found. Thus, Annette uses this formula to find her bikes velocity.

distance = velocity*time

6.8=x*90

x Represent velocity in this equation.

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The future worth of a certain item or money deposited at a certain percentage is obtained by the equation,

   F = P x (1 + i)^n

F is the future worth, P is present worth, i is the percentage, and n is the number of years.

   n = 2013 - 1938
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Substituting the known values,

    300,000 = 100 x (1 + i)^75

The value of i from the equation is 0.1126.

The answer to this item is 11.26%. 
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3 years ago
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Use the graph of the sine function to find the values of theta for which sin theta = 0.
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<span>let y=sin theta = 0, as shown in the figure, when y=0, there are 5 values of theta, -2Pi; -Pi  0  Pi  2Pi</span>
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3 years ago
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Printed circuit cards are placed in a functional test after being populated with semiconductor chips. A lot contains 110 cards,
Yakvenalex [24]

Answer:

The answers to the questions are;

(a) P(At least 1 defective)

= 0.9883.

(b) P(At least 1 defective)

= 0.6409.

Step-by-step explanation:

There are 110 cards and 20 defectives.

a) The probability of at least one defective is given by

P(At least 1 defective) = 1 - P(0 defective)

P(0 defective) = 20C0 × (90C0)/(110C20) = 0.0116

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b) For a set of 110 boards that has 5 defective and 105 non-defective

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1-0.35909

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8 0
3 years ago
A tank contains 100 kg of salt and 1000 L of water. A solution of a concentration 0.05 kg of salt per liter enters a tank at the
Umnica [9.8K]

Answer:

Step-by-step explanation:

Initial Quantity of salt Q(0) = 100 kg

Capacity of tank = 1000 L

Inflow of liquid = 10 l /minute and outflow = same rate thus leaving the content of volume 1000 L at any time

Assume after entering constantly mixes and drains out.

Concentration flow = inflow - outflow

= 0.05(10) - \frac{Q(t)}{1000} *10

i.e. Q'(t) = 0.5-0.01Q(t), Q(0) = 100

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Use Q(0) = 5

-45 = A  

So the equation would be

Q-50 = -45 e^{-0.01t} \\Q(t) = 50-45 e^{-0.01t} \\

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Q(1) = 50-45e^(-0.01) = 5.4477 kg

c) As t becomes large Q = 50

So concentration limit = 50/1000 = 0.05

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3 years ago
Six is three more than three times a number​
rjkz [21]

Answer: 1 is the number.

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First, rewrite the problem as an equation. 6=3+3x

Now, subtract 3 from both sides. 3=3x

Finally, divide both sides by 3. 1=x

There’s the answer.

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3 years ago
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