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3 years ago

6. A plane that carries mail makes a round trip each day from Chicago to New York.

Mathematics

1 answer:

AleksAgata [21]3 years ago

7 0

Answer:

Step-by-step explanation:

The graph that is drawn here shows the altitude as a function of time. When the plane takes off from Chicago, the graph will start from the horizontal axis.

Next, when the plane takes 3 intermediate stops, altitude will touch the horizontal axis 3 times.

Next, when the plane lands in New York the altitude will touch the horizontal axis.

Next, when plane takes off from New York and takes an intermediate stop, altitude will touch horizontal axis.

Lastly the altitude will touch the axis when plane lands back in Chicago.

So, cumulatively the altitude will touch the horizontal axis seven times.

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Find the expression that is equivalent to the original exponential expression depicted below. Thank you!

svet-max [94.6K]

Answer:

Step-by-step explanation:

you multiply the numbers and add the variables

5 0

2 years ago

Read 2 more answers

A rectangular shaped garden has an area of 80 square feet. The length is 5 less than twice the width. What are the dimensions of

Gnom [1K]

Answer:

Width=28 1/3 Length=51 2/3

Step-by-step explanation:

1. Create an equation

x+(2x-5)=80

2. Solve

x+(2x-5)=80

3x-5=80

3x-5+5=80+5

3x/3=85/3

x=28 1/3

So, if x=28 1/3

85/3x2=170/3

56 2/3-5

So, Length=51 2/3

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2 years ago

The owner of a cattle ranch would like to fence in a rectangular area of 3000000 m^2 and then divide it in half with a fence dow

Reika [66]

If you notice the picture below, the amount of fencing, or perimeter, that will be used will be 3w + 2l

now $\bf \begin{cases}
A=l\cdot w\\\\\
A=3000000\\
----------\\
3000000=l\cdot w\\\\
\frac{3000000}{w}=l
\end{cases}\qquad thus
\\\\\\
P=3w+2l\implies P=3w+2\left( \cfrac{3000000}{w} \right)\implies P=3w+\cfrac{6000000}{w}
\\\\\\
P=3w+6000000w^{-1}\\\\
-----------------------------\\\\
now\qquad \cfrac{dP}{dw}=3-\cfrac{6000000}{w^2}\implies \cfrac{dP}{dw}=\cfrac{3w^2-6000000}{w^2}
\\\\\\
\textit{so the critical points are at }
\begin{cases}
0=w^2\\\\
0=\frac{3w^2-6000000}{w^2}
\end{cases}$

solve for "w", to see what critical points you get, and then run a first-derivative test on them, for the minimum

notice the $0=w^2\implies 0=w$ so. you can pretty much skip that one, though is a valid critical point, the width can't clearly be 0

so.. check the critical points on the other

8 0

3 years ago

If the mean if these numbers is 9 what is x ? <br><br> 16,3,x,5

siniylev [52]

The mean is the average number meaning that it is all the numbers in a set added together and divided by how many number are in the set. In this case there are 4 numbers (16, 3, whatever number x is, and 5). So, to find out what x is, first you multiple 4 by the known mean which is 9.
4 x 9 = 36
Then you simply subtract 36 from all the known numbers to find x.
36 - 16 - 5 - 3 = 12
So x = 12

5 0

3 years ago

Solve for the width in the formula for the area of a triangle

zmey [24]

Answer: $\frac{2A}{h} = w$