If today is your 15th birthday, how many seconds old are you? Show your work. Explain your process. (Calculate as if you were bo

The equations we work with are f(x)=4x-3 and g(x)=x³-x²-4x+4. The intersections of these functions occur at f(x)=g(x). Using graphing technology, the figures are displayed in the attached image; the solutions to the equations are approximate values: x=-2.781, which rounds to -2.8, x=0.862 rounds to about 0.9, and x=2.919 rounds to 2.9.

Response:

Yearly average cost = 400 + 180/x

Detailed explanation:

Utilizing the equation y=mx+b

The value of b represents the initial costs or the y intercept, reflecting the start-up expenses

m signifies the cost increase per each unit of x, which is 400 each year

Total costs = 400x + 180

To determine the yearly average cost, we must divide by x

Average yearly cost = (400x + 180)/x

= 400 + 180/x

Alright, let's begin.

A right triangle (Triangle 1) has a hypotenuse measuring 115 mm, and angle α = 31.2°. What are the dimensions for a, b, and angle β?

Please see the diagram I have provided.

Utilizing SOH CAH TOA,

Substituting the value of sin 31.2

mm

Likewise,

Substituting the value of cos 31.2

mm

For angle β

tan β =

tan β = 1.65

Using the tangent inverse

β = 58.78°

Thus, we have a = 98.36 mm, b = 59.57 mm, and β = 58.78°:   Final Answer

I hope this is helpful:)

A right triangle (Triangle 1) has lengths of a = 505 mm and b = 286 mm. What are the dimensions for c, α, and β?

Refer to the diagram I’ve attached.

With sides a and b provided, we can find side c using the Pythagorean theorem.

Taking the square root of both sides

c = 580.36 mm

Applying SOH CAH TOA,

tan α =

Taking the tangent inverse

α = 60.48°

Similarly,

tan β =

Taking the tangent inverse

β = 29.52°

Thus, the answer is c = 580.36 mm, α = 60.48° and β = 29.52°:    Final Answer

I hope this is helpful:)

A plane is composed of an infinite collection of points. The location of a point on the coordinate plane is marked by an ordered pair, (x, y). In geometry, undefined terms include points, lines, and planes. The statement regarding a point's location being denoted by an ordered pair is accurate. However, it is incorrect to say a point has dimension, as it lacks any. Similarly, a line only has length and no width, and it is necessary for distance between points to have a starting and an ending point. A plane indeed consists of an infinite number of points.

Answer:

Step-by-step explanation:

If CAB represents a line and has arrows indicating its endpoints, then CAB is identified as a straight line, which also corresponds to a straight angle measuring 180°.