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sweet [91]
3 years ago
9

If the velocity of a car on a timed test drive on an airfield is given by the function:

Mathematics
1 answer:
earnstyle [38]3 years ago
5 0

The graph of the car's speed is a piece of an inverted parabola,
that cuts the time axis at zero and at 8 sec. 

The distance the car travels during that 8 seconds is the area
between the parabola and the time axis.  If you intend to calculate
it, then I'm afraid you're going to need to integrate the speed function.

           V = 24t - 3t²

Distance = integral of (24t - 3t²), evaluated from zero to 8 seconds.

Integral of (24t - 3t²) =

             t²/2 - 3t³/3  =  <u>12t² - t³</u>

Evaluated between zero and 8 seconds, the integral is

             12(8²) - (8)³ =

               768 - 512  =<em>  256 meters</em> .


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Help Please.. 1 /2x + y = 4 What is the x-intercept? What is the y-intercept?
IgorC [24]

Answer:

x - intercept = 8

y - intercept = 4

Step-by-step explanation:

In order to to find x- intercept, plug y = 0, in the given equation of line.

\frac{1} {2} x+y = 4\\\\\frac{1} {2} x+0 = 4..(plug \: y = 0)\\\frac{1} {2} x = 4\\x = 2\times 4\\x = 8\\\huge \red {\boxed {\therefore x-intercept = 8}}

In order to to find y- intercept, plug x = 0, in the given equation of line.

\frac{1} {2} x+y = 4\\\\\frac{1} {2} \times 0+y = 4..(plug \: x = 0)\\0+y = 4\\y = 4\\\huge \purple {\boxed {\therefore y-intercept = 4}}

8 0
3 years ago
You want to draw a red then a blue marble. do you have a better chance of drawing a red then blue marble with or without replaci
elena-s [515]

Answer: Without replacing

Step-by-step explanation:

If you don't replace the first red marble, it decreases the number of red marbles in the mix, making the proportion of blue marbles relatively larger. For example, if there were 5 red and 5 blue marbles, there would be a 50% chance of drawing a blue marble. If the red drawn is not replaced, there is a 5/9 chance of drawing a blue marble, or a 55% chance of drawing one.

7 0
2 years ago
Define the axis of symmetry, vertex, focus and directrix for
Papessa [141]

Answer:

  see attached

Step-by-step explanation:

The equation is in the form ...

  4p(y -k) = (x -h)^2 . . . . . (h, k) is the vertex; p is the focus-vertex distance

Comparing this to your equation, we see ...

  p = 4, (h, k) = (3, 4)

p > 0, so the parabola opens upward. The vertex is on the axis of symmetry. That axis has the equation x=x-coordinate of vertex. This tells you ...

  vertex: (3, 4)

  axis of symmetry: x = 3

  focus: (3, 8) . . . . . 4 units up from vertex

  directrix: y = 0 . . . horizontal line 4 units down from vertex

8 0
2 years ago
Circle A is shown. Secant W Y intersects tangent Z Y at point Y outside of the circle. Secant W Y intersects circle A at point X
Gekata [30.6K]

By applying the theorem of intersecting secants, the measure of angle XYZ is equal to: A. 35°.

<h3>How to determine angle <XYZ?</h3>

By critically observing the geometric shapes shown in the image attached below, we can deduce that they obey the theorem of intersecting secants.

<h3>What is the theorem of intersecting secants?</h3>

The theorem of intersecting secants states that when two (2) lines intersect outside a circle, the measure of the angle formed by these lines is equal to one-half (½) of the difference of the two (2) arcs it intercepts.

By applying the theorem of intersecting secants, angle XYZ will be given by this formula:

<XYZ = ½ × (m<WZ - m<XZ)

Substituting the given parameters into the formula, we have;

<XYZ = ½ × (175 - 105)

<XYZ = ½ × 70

<XYZ = 35°.

By applying the theorem of intersecting secants, we can infer and logically deduce that the measure of angle XYZ is equal to 35°.

Read more on intersecting secants here: brainly.com/question/1626547

#SPJ1

6 0
2 years ago
What is f(3) if f(x) = 2x + 1?
RideAnS [48]
Plug in 3 for x
f(3) = 2(3) + 1
f(3) = 6 + 1
Solution is 7
4 0
3 years ago
Read 2 more answers
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