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soldier1979 [14.2K]
3 years ago
6

The fabric coast 7¢ per square inch she will only pay for the fabric used to cover the box, even if there is waste or extra. How

much money did she spend on the fabric. 7inches , 11inches,8inches
Mathematics
1 answer:
quester [9]3 years ago
4 0
7 inches = 49 cents
8 inches = 56 cents
11 inches = 77 cents
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Just part c please thanks
Dovator [93]
Unfortunately the portion of the graph shown does not show the locations of points A and B, nor does it show sufficient parts of the curve.

Fortunately, to do part C, it is not necessary to use the graph of the function, nor the locations of points A & B, since we know that t=-1 at A.

The solution is as follows:
We know that the tangent line has the equation
l : 2x -5y -9 = 0 ...................(1)
and that the parametric equation is
x = t^3 -8t;  y = t^2 ..............(2)

We can obtain the intersections of the tangent line (1) with the original curve (2) by substituting (2) in (1), giving
f(t) = 2*(t^3-8*t) -5*(t^2)-9 = 0
or on simplification,
f(t) = 2t^3 -5t^2 -16t -9 = 0 ....................(3) parametric equation of intersection points
Solution of which gives t=9/2 or t=-1.

Since t=-1 is the given tangent point, we conclude that t=9/2 is point B.

Translating into rectangular coordinates for t=9/2, we get
x=t^3-8t=(9/2)^3-8(9/2)= 441/8 = 55.125
y=t^2=(9/2)^2= 81/4 = 20.25

Therefore the coordinates of B:
t=9/2, or (55.125, 20.25)

Attached is the graphics of f(t), showing that t=-1 is a tangent line, and that the solutions are t=-1, or t=9/2.

8 0
3 years ago
The length of a rectangle is 12 in. and the perimeter is
sveticcg [70]
The perimeter of the rectangle is 64
5 0
3 years ago
In a certain computer, the probability of a memory failure is 0.01, while the probability of a hard disk failure is 0.02. If the
ratelena [41]

Answer:

We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

P(A \cap B) = P(A) *P(B)

For this case we have that:

P(A) *P(B) = 0.01*0.02= 0.0002

And we see that 0.0002 \neq P(A \cap B)

So then we can conclude that the two events given are not independent and have a relationship or dependence.

Step-by-step explanation:

For this case we can define the following events:

A= In a certain computer a memory failure

B= In a certain computer a hard disk failure

We have the probability for the two events given on this case:

P(A) = 0.01 , P(B) = 0.02

We also know the probability that the memory and the hard drive fail simultaneously given by:

P(A \cap B) = 0.0014

And we want to check if the two events are independent.

We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

P(A \cap B) = P(A) *P(B)

For this case we have that:

P(A) *P(B) = 0.01*0.02= 0.0002

And we see that 0.0002 \neq P(A \cap B)

So then we can conclude that the two events given are not independent and have a relationship or dependence.

8 0
3 years ago
Determine the intercepts of the line.<br> y-intercept (____,____)<br> x-intercept (____,____)
bija089 [108]

Answer:

y intercept is  (0 , 2.5)

x intercept is (3.5 , 0)

Step-by-step explanation:

Khan Academy is fun !!!!!!!!!!

y- intercept is where the line meets the y line    l

x- intercept is where the line meets the x line   ____

The y-intercept is 2.5

The x-intercept is 3.5

3 0
2 years ago
the circular ripple caused by dropping a stone in a pond is increasing in area at a constant rate of 20 square meters per second
mojhsa [17]

Answer:

  2/π ≈ 0.637 m/s

Step-by-step explanation:

The rate of change of area with respect to time is ...

  A = πr²

  dA/dt = 2πr·dr/dt

Filling in given values in the above equations, we can find r and dr/dt.

  25π = πr²   ⇒   r = 5

  20 = 2π·5·dr/dt

  dr/dt = 20/(10π) = 2/π . . . . meters per second

The radius is increasing at the rate of 2/π ≈ 0.637 meters per second.

4 0
3 years ago
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