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Cerrena [4.2K]
3 years ago
9

Lisa needs to arrive in Ankara from Istanbul in the next 5 hours. She wants to save as much money as possible, while minimizing

her travel time to allow for more sightseeing. She looks at the local transportation options and determines the possibilities for that particular day in the table. A 3-column table with 4 rows. Column 1 is labeled Transportation with entries bus, rental car, train, airplane. Column 2 is labeled Cost with entries 16 dollars and 30 cents, 51 dollars and 40 cents, 11 dollars and 70 cents, 60 dollars and 70 cents. Column 3 is labeled travel time with entries 6 hours, 5 hours, 1.5 hours, 1 hour. Which mode of transportation should Lisa choose if she wants to minimize her cost and maximize her sightseeing time? a. bus b. rental car c. train d. airplane
Mathematics
1 answer:
DerKrebs [107]3 years ago
3 0

Answer:

The answer is C. Train

Step-by-step explanation:

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Min-Jee is planting two rectangular flower beds. One bed is 2.78 feet by 4.81 feet, and the other bed is 2.78 feet by 5.61 feet.
shusha [124]

Answer:  (2.78+4.81)(2.78+5.61)

Step-by-step explanation:

<h3> The complete exercise is attached.</h3><h3></h3>

The area of a rectangle can be calculated with this formula:

A=lw

Where "l" is the lenght and "w" is the width.

Then, you can notice that it can be obtained by multiplying the dimensions of the rectangle.

Knowing this, you can determine that the total area of the two flowers bed can be obtained by adding the products of their dimensions.

Since one of the rectangular flower bed is 2.78 feet by 4.81 feet and the other bed  2.78 feet by 5.61 feet, you can write the following expression to find the total area (in square feet)of the two beds:

2.78*4.81 +2.78*5.61

If you factor out 2.78:

2.78(4.81 +5.61) or (4.81 +5.61)2.78

Therefore, the expression that does not represent the total area in square feet of the two beds, is:

(2.78+4.81)(2.78+5.61)

6 0
3 years ago
Read 2 more answers
What Is the Intersection of Two Sets
denis-greek [22]

Answer:

the set of elements that are common to each of the given sets

Step-by-step explanation:

8 0
2 years ago
Someone please answer this
babymother [125]

Answer:

9.4m is the answer.

Step-by-step explanation:

a = 8m

b = 5m

c = ?

According to the Pythagoras theorem,

a² + b² = c²

8² + 5² = c²

64 + 25 = c²

89 = c²

c = 9.433

Rounding off,

c = 9.4m

4 0
3 years ago
For f(x)=4sin(x2) between x=0 and x=3, find the coordinates of all intercepts, critical points, and inflection points to two dec
telo118 [61]

Answer:

Intercepts:

x = 0, y = 0

x = 1.77, y = 0

x = 2.51, y = 0

Critical points:

x = 1.25, y = 4

x = 2.17 , y = -4

x = 2.8, y = 4

Inflection points:

x = 0.81, y = 2.44

x = 1.81, y = -0.54

x = 2.52, y = 0.27

Step-by-step explanation:

We can find the intercept by setting f(x) = 0

4sin(x^2) = 0

sin(x^2) = 0

x^2 = n\pi where n = 0, 1, 2,3, 4, 5,...

x = \sqrt(n\pi)

Since we are restricting x between 0 and 3 we can stop at n = 2

So the function f(x) intercepts at y = 0 and x:

x = 0

x = 1.77

x = 2.51

The critical points occur at the first derivative = 0

f^{'}(x) = 4cos(x^2)2x = 8xcos(x^2) = 0

xcos(x^2) = 0

x = 0 or

cos(x^2) = 0

x^2 = \frac{\pi}{2} + n\pi where n = 0, 1, 2, 3

x = \sqrt{\pi(n+1/2)}

Since we are restricting x between 0 and 3 we can stop at n =  2

So our critical points are at

x = 1.25, y = f(1.25) = 4sin(1.25^2) = 4

x = 2.17 , y = f(2.17) = 4sin(2.17^2) = -4

x = 2.8, y = f(2.8) = 4sin(2.8^2) = 4

For the inflection point, we can take the 2nd derivative and set it to 0

f^[''}(x) = 8(cos(x^2) - xsin(x^2)2x) = 8cos(x^2) - 16x^2sin(x^2) = 0

cos(x^2) = 2x^2sin(x^2)

tan(x^2) = \frac{1}{2x^2}

We can solve this numerically to get the inflection points are at

x = 0.81, y = f(0.81) = 4sin(0.81^2) = 2.44

x = 1.81, y = f(1.81) = 4sin(1.81^2) = -0.54

x = 2.52, y = f(2.52) = 4sin(2.52^2) = 0.27

3 0
3 years ago
Please help, i forgot which was which... (positive or negative coefficient)
Vesna [10]
<h3>Answer:  Negative</h3>

Reason:

The template y = ax^2+bx+c applies to any quadratic to graph out a parabola. The coefficient for the x^2 term is 'a', and it solely determines whether the parabola opens upward or downward.

If 'a' is negative, then the parabola opens downward. The way to remember this is that 'a' being negative forms a negative frown.

On the other hand if 'a' is positive, then it forms a positive smile, and the parabola opens upward.

In this case, the points are fairly close to a parabola opening downward. This means 'a' is negative and a < 0.

8 0
2 years ago
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