Express the percent as a decimal 6.4%

What is the 5th term in the arithmetic sequence below?

olga_2 [115]

Answer:

A: 16

Step-by-step explanation:

difference is +12

4 + 12= 16

7 0

3 years ago

Need help with this math.

madreJ [45]

The end behavior of the function y = x² is given as follows:

f(x) -> ∞ as x -> - ∞; f(x) -> ∞ as x -> - ∞.

<h3>How to identify the end behavior of a function?</h3>

The end behavior of a function is given by the limit of f(x) when x goes to both negative and positive infinity.

In this problem, the function is:

y = x².

When x goes to negative infinity, the limit is:

lim x -> - ∞ f(x) = (-∞)² = ∞.

Meaning that the function is increasing at the left corner of it's graph.

When x goes to positive infinity, the limit is:

lim x -> ∞ f(x) = (∞)² = ∞.

Meaning that the function is also increasing at the right corner of it's graph.

Thus the last option is the correct option regarding the end behavior of the function.

<h3>Missing information</h3>

We suppose that the function is y = x².

More can be learned about the end behavior of a function at brainly.com/question/24248193

#SPJ1

3 0

1 year 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

<u><em>The maximum power generated by the circuit is 300 watts.</em></u>

7 0

3 years ago

How do I solve this???

alexdok [17]

Answer:

Step-by-step explanation:

The equation of a proportional relationship: y = mx.

METHOD 1:

We know: If x and y are in a proportional relationshi, then the ratio y/x is constant

$\dfrac{y}{x}=const.$

We have P(3, 2) and Q(x, 6). Therefore

$\dfrac{2}{3}=\dfrac{6}{x}$ <em>cross multiply</em>

$2x=(3)(6)$ <em>divide both sides by 2</em>

$x=\dfrac{18}{2}$

$x=9$

METHOD 2:

<em>(look at the picture)</em>

The graph of y = mx is a straight line passes through the origin.

Step 1.

Plot point P(3, 2) on the graph.

Step 2.

Draw the line passes through he origin and point P.

Step 3.

Draw the line y = 6 <em>(6 from the coordinates of Q(x, 6))</em>

Step 4.

The intersection of lines is the point Q. Read the coordinte x.

3 0

3 years ago

a small bar of gold is a rectangular prism that measures 40 millimeters by 25 millimeters by 2 millimeters. one cubic millimeter

guajiro [1.7K]

Step One
Find the Volume in ccs.

V= l*w*h
l =40 mm
w = 25 mm
h = 2 mm
V = 40*35 * 2
V = 2800 mm^3

Step Two
Find the weight
1 mm^3 = 0.0005
2800 mm^3 = x <<<<< answer 1

$\frac{1}{2800} = \frac{0.0005}{x}$ Cross multiply.

1x = 2800 * 0.0005
x = 1.4 ounces. <<<<< answer 2

9 0

3 years ago