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Katen [24]
3 years ago
7

Eight plus the quotient of a number and 3 is -2

Mathematics
1 answer:
topjm [15]3 years ago
3 0
8+ x/3= -2

Subtract 8 from both sides
x/3= -10

Multiply both sides by 3
x=-30

Final answer: x=-30
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Determine how long it will take an object to rotate through 6.9 revolutions at an angular velocity of 3.1 radians per second. Us
gregori [183]

Answer: 13 . 99 seconds

Step-by-step explanation:

The formula to find how long it will take an object to rotate through 6.9 revolutions at an angular velocity is given as :

t = 2π x number of revolutions / angular velocity

Therefore :

t = 2π x 6.9 / 3.1

t = 2 x 3.142 x 6.9 / 3.1

t = 43.3596/3.1

t = 13. 98696774194

to the nearest tenth

t = 13. 99s

7 0
3 years ago
The ratio to cranberry juice and mango juice is 3:2 they used 4 quarts of cranberry juice last week. This week mindy and her fri
IrinaVladis [17]

Answer:

The amount of mango juice needed is 8 quarts

Step-by-step explanation:

To calculate the amount of mango juice needed, we will need to know the amount used the previous week.

Cranberry juice to Mango juice is 3:2 with cranberry used being 4 quarts. Let the quarts of Mango juice used be x

This means;

3/2 = 4/x

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1.5x = 4

x = 4/1.5 quarts

Since they are making 3 times as much punch, the amount of mango juice needed will be 4/1.5 * 3 = 4 * 2 = 8 quarts

8 0
3 years ago
Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Ente
Leto [7]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

   No singular point due to the exponent in the solution

    The interval is   -\infty

b

   NONE

Step-by-step explanation:

From the question we are told that

     \frac{dy}{dx} =  9y

The generally solution is mathematically represented as

         \frac{dy }{dx}  =  9y

=>       \frac{dy}{y}  =  9dx

integrating both sides  

         \int\limits  {\frac{ dy}{y} } \,  = \int\limits  {9} \, dx

  =>   lny = 9x + c

 =>   y =  e^{9x +c }

 =>    y =  e^{9x} e^{c}

Here e^c  =  C

=>     y = C  e^{9x}

From the above equation we see that the domain for x has no singular point the interval is

       -\infty

Also there is no transient term in the general solution obtained because as  x \to \infty there no case where y \to 0

7 0
3 years ago
Find each product. (20 Points!)
rodikova [14]
Answer:
13) 10b^2a^4
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3 years ago
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Lubov Fominskaja [6]

the balance would be 1,285.32 iam not completely sure

8 0
3 years ago
Read 2 more answers
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