What is the base of the exponential expression of 4 to the power of 5

(LC)

serg [7]

10

1240 x 10 = 12400
12400 = 12400

8 0

3 years ago

Factor each expression (9 & 10)

s344n2d4d5 [400]

9)
8x+4*6
8x+24

11)
3t+2c=6tc

7 0

3 years ago

The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by: P(c) = -12c^2

Ksenya-84 [330]

Answer:

The maximum power generated by the circuit is 300 watts.

Step-by-step explanation:

A quadratic function is one that can be written as an equation of the form:

f (x) = ax² + bx + c

where a, b and c (called terms) are any real numbers and a is nonzero.

In this case, f(x) is P(c) [the power generated], x is the current c (in amperes), a = -12, b = 120 and c = 0.

The vertex is a point that is part of the parabola, which has the value as ordered minimum or maximum function. If the scalar a> 0, the parabola opens or faces up and the vertex is the minimum of the function. In contrast, if a <0, the parabola opens downward and the vertex is the maximum of the function.

The calculation of the vertex, which in this case will be the maximum of the function, is carried out as follows:

The value of x, in this case the value of current c in amperes, can be calculated with the formula $c=\frac{-b}{2*a}$ . In this case: $c=\frac{-120}{2*(-12)}$ So c= 5 amperes. The current is 5 amperes.
The value of y, in this case the value of the electric current in watts, is obtained by substituting the value of c previously obtained in the function. In this case: P(5)= -12*5²+120*5. So P(5)= 300 watts

The maximum power generated by the circuit is 300 watts.

7 0

3 years ago

Show how to solve 2x+5=13, justify the steps

liberstina [14]

Answer:

The answer is 4

Step-by-step explanation:

2x + 5 = 13

Now, Subtract 5 from both side we get,

2x + 5 - 5 = 13 - 5

2x = 8

Then, Divide both side by 2 we get,

2x/2 = 8/2

x = 4

Thus, The answer is 4

-TheUnknownScientist 72

8 0

2 years ago

Read 2 more answers

How many solutions does the system of equations have? Pls help :(

goldfiish [28.3K]

Given the system of equations below:

$\large{ \begin{cases} y = 2x + 1 \\ - 4x + 2y = 2 \end{cases}}$

The first equation is y-isolated so we can substitute in the second equation.

$\large{ - 4x + 2(2x + 1) = 2}$

Use the distribution property to expand in and simplify.

$\large{ - 4x + 4x + 2 = 2} \\ \large{0 + 2 = 2 \longrightarrow 2 = 2}$

The another method is to divide the second equation by 2.

$\large{ \frac{ - 4x}{2} + \frac{2y}{2} = \frac{2}{2} } \\ \large{ - 2x + y = 1}$

Arrange in the form of y = mx+b.

$\large{y = 1 + 2x \longrightarrow y = 2x + 1}$

When we finally arrange, compare the equation to the first equation. Both equations are the same which mean that both graphs are also same and intersect each others infinitely.

For more information, when the both sides are equal for equation - the answer would be infinitely many. If both sides aren't equal (0 = 4 for example) - the answer would be none. If the equation can be solved for a variable then it'd be one solution.

Answer

Infinitely Many

Hope this helps. Let me know if you have any doubts!

3 0

3 years ago