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fgiga [73]
3 years ago
8

Frenchie’s Tool rental charges customers $16 per hour to rent a riding lawnmower. Make a table of ordered pairs in which the x-c

oordinate (domain) represents the number of hours and the y-coordinate (range) represents the total cost of renting the lawnmower for 3, 7, 8, and 12 hours.
Mathematics
1 answer:
Bezzdna [24]3 years ago
7 0

Answer:

\begin{array}{cc}x&y\\ \\3&48\\7&112\\8&128\\12&192\end{array}

Step-by-step explanation:

Let x represents the number of hours and y represents the total cost of renting the lawnmower.

Frenchie’s Tool rental charges customers $16 per hour to rent a riding lawnmower, then renting for x hours costs $16x, thus,

y=16x.

When x = 3, then y=16\cdot 3=48

When x = 7, then y=16\cdot 7=112

When x = 8, then y=16\cdot 8=128

When x = 12, then y=16\cdot 12=192

Therefore, the table is

\begin{array}{cc}x&y\\ \\3&48\\7&112\\8&128\\12&192\end{array}

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jeka57 [31]

We are trying to represent the change in position of a bird flying down 7 ft to the ground.

Often, for the y axis- up is positive and down is negative.

Change in position is displacement- how far it was from the starting point

( different from distance which is how far is traveled

ex. doubling back would have distance they traveled some distance while the displacement is 0 because they are back to where they started).

The bird is going down 7 ft from where it originally was, which can be represented by

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5 0
3 years ago
The function f(x)=Acosh(Cx)+Bsinh(Cx). I need help determining the value of constant C>0 when the second derivative f''(x)=25
Rus_ich [418]

Answer:

C = 5.

Step-by-step explanation:

First, you need to remember that:

For the function:

h(x) = Sinh(k*x)

We have:

h'(x) = k*Cosh(k*x)

and for the Cosh function:

g(x) = Cosh(k*x)

g'(x) = k*Cosh(k*x).

Now let's go to our problem:

We have f(x) = A*cosh(C*x) + B*Sinh(C*x)

We want to find the value of C such that:

f''(x) = 25*f(x)

So let's derive f(x):

f'(x) = A*C*Sinh(C*x) + B*C*Cosh(C*x)

and again:

f''(x) = A*C*C*Cosh(C*x) + B*C*C*Sinh(C*x)

f''(x) = C^2*(A*cosh(C*x) + B*Sinh(C*x)) = C^2*f(x)

And we wanted to get:

f''(x) = 25*f(x) = C^2*f(x)

then:

25 = C^2

√25 = C

And because we know that C > 0, we take the positive solution of the square root, then:

C = 5

6 0
2 years ago
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katovenus [111]
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3 years ago
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mojhsa [17]

Answer:

To identify which integer does not belong with the rest, we must first evaluate each.

Step-by-step explanation:

  • [25.6...] is already evaluated. Therefore, let's move on to Integer <em>b: </em>\sqrt{x}, where is <em>x </em>is 48.

  • 48 = 2 * 24--> 2 * 12--> 2 * 6--> 2 * 3
  • √48 = \sqrt{2} * 2 * 2 * 2 * 3
  • We have 1 perfect sqaure: \sqrt{2} * 2
  • When we multiply, we receive 2.
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  • When -51/2 is relatively prime, we receive -25 1/2

  • Finally, the last integer is already simplified.

Based on these results, you may determine the number that does not belong with the other three, whether than is through means of irrationability, value, absolte value, or whatever other means you decide.

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Kay [80]
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