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Anna71 [15]
3 years ago
6

A 120 120 -volt battery is connected to a circuit with 30 30 ohms of resistance. The current in amperes c c flowing through the

circuit can be found using the equation 30c=120 30c=120 . How many amperes of current are there in the wire?
Mathematics
1 answer:
coldgirl [10]3 years ago
5 0

Answer:

just divide 120 divided by 30 is 4 I know it right bc I had the same question on into math if thats what you were on

Step-by-step explanation:

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A 32 oz bottle of water costs $1.92. What is the cost per ounce?
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What is the area of a rectangle with length 5 inch and width 2.7 inch
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The area of the rectangle would be 13.5 inches.
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3 years ago
If C ( x ) = 11000 + 500 x − 3.6 x 2 + 0.004 x 3 is the cost function and p ( x ) = 1700 − 9 x is the demand function, find the
Bess [88]

Answer:

Step-by-step explanation:

The cost function = C(x)

The demand function = P(x)

C(x) = 11000 + 500x - 3.6x^2 + + 0.004x^3

P(x) = 1700 - 9x

Differentiate C(x) with respect to x

C'(x) = 500 - 7.2x + 0.012x^2

C'(x) is the marginal cost

Revenue = x. P(x)

R(x) = x( 1700 -9x)

= 1700x - 9x^2

Differentiate R(x) with respect to x

R'(x) = 1700 - 18x

R'(x) is the marginal revenue

Profit is maximized when R'(x) = C'(x)

1700 - 18x = 500 - 7.2x + 0.012x^2

Collect like terms

0 = 500 - 1700 - 7.2x +18x +0.012x^2

0 = -1200 + 10.8x +0.012x^2

0 = 0.012x^2 + 10.8x - 1200

Using x=( -b +_ √b^2 - 4ac) /2a

a = 0.012 , b= 10.8 , c= -1200

x= (-10.8 +_ √(10.8^2) - 4*0.012*(-1200)) /2*0.012

= ( -10.8 +_√116.64 + 57.6) / 0.024

= (-10.8 +_ √174.24) / 0.024

= (-10.8 +_13.2) / 0.024

= (-10.8+13.2)/0.024 or (-10.8 - 13.2)/0.024

= 2.4/0.024 or -24/0.024

x= 100 or -1000

Since our profit cannot be negative, the profit = $100

5 0
3 years ago
A trucking company uses matrix A , shown below, to represent the driving time in hours for 6 trucking routes. A = [ 4 6 8 ]
zepelin [54]

Each element of the matrix are multiplied by the scalar to form a matrix of

same size as the original matrix in matrix scalar multiplication.

  • 60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right]

Reasons:

The matrix <em>A</em> is presented as follows;

A = {\left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right]}

Using the multiplication of a matrix and a scalar, we have;

60 \cdot A = 60 \cdot  \left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right] =  \left[\begin{array}{ccc}60 \times 4&60 \times 6&60 \times 8\\60 \times 6&60 \times 8&60 \times 10\end{array}\right] = \left[\begin{array}{ccc}\mathbf{240}&\mathbf{360}&\mathbf{480}\\\mathbf{360}&\mathbf{480}&\mathbf{600}\end{array}\right]

Therefore;

60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right]

Learn more about matrices here:

brainly.com/question/14296012

6 0
2 years ago
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