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AlladinOne [14]
3 years ago
6

Can someone explain how to write a function with this table, and assist me in writing one?

Mathematics
1 answer:
schepotkina [342]3 years ago
8 0
Wow.
Usually this type of tables are using for lines. But your case is more specific. I suppose that you just mixed up two last coordinates. If so, here is an answer:

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With two reapers operating, a field can be harvested in 1 h. If only the newer reaper is used, the crop can be harvested in 1.2
kolezko [41]

<u>Answer:</u>

The older repear will harvest in 6 hrs

<u>Explanation:</u>

Given a field can be harvested in 1 hr with 2 reapers

Consider the total field to be 1

Let x be the time of older’s reaper

The field can be harvested in 1.2 hr with newer reaper alone

Older’s time of harvesting = \frac{1}{x} per hour

Newer’s time of harvesting = \frac{1}{1.2}per hour

Total (Older+Newer) = 1 = {\frac{1}{x}+\frac{1}{1.2}}

 \frac{1}{x}+\frac{1}{1.2}=1

 \frac{1.2+x}{1.2 x}=1

1.2 + x = 1.2x

1.2 = 0.2x

x = 6

Therefore, older repear will harvest in 6 hrs

5 0
2 years ago
Nelly the narwhal can swim 12 laps in 8 minutes how many minutes per lap is that?
valentinak56 [21]

Answer:

1.5 lpm

Step-by-step explanation:

12 laps divided by 8 minutes = 1.5 laps per minute

4 0
2 years ago
Read 2 more answers
PLEASE HELP A flight across the US takes longer east to west then it does west to east. This is due to the plane having a headwi
il63 [147K]
To solve our questions, we are going to use the kinematic equation for distance: d=vt
where
d is distance 
v is speed  
t is time 

1. Let v_{w} be the speed of the wind, t_{w} be time of the westward trip, and t_{e} the time of the eastward trip. We know from our problem that the distance between the cities is 2,400 miles, so d=2400. We also know that the speed of the plane is 450 mi/hr, so v=450. Now we can use our equation the relate the unknown quantities with the quantities that we know:

<span>Going westward:
The plane is flying against the wind, so we need to subtract the speed of the wind form the speed of the plane:
</span>d=vt
2400=(450-v_{w})t_{w}

Going eastward:
The plane is flying with the wind, so we need to add the speed of the wind to the speed of the plane:
d=vt
2400=(450+v_{w})t_{e}

We can conclude that you should complete the chart as follows:
Going westward -Distance: 2400 Rate:450-v_w Time:t_w
Going eastward -Distance: 2400 Rate:450+v_w Time:t_e

2. Notice that we already have to equations:
Going westward: 2400=(450-v_{w})t_{w} equation(1)
Going eastward: 2400=(450+v_{w})t_{e} equation (2)

Let t_{t} be the time of the round trip. We know from our problem that the round trip takes 11 hours, so t_{t}=11, but we also know that the time round trip is the time of the westward trip plus the time of the eastward trip, so t_{t}=t_w+t_e. Using this equation we can express t_w in terms of t_e:
t_{t}=t_w+t_e
11=t_w+t_e equation
t_w=11-t_e equation (3)
Now, we can replace equation (3) in equation (1) to create a system of equations with two unknowns: 
2400=(450-v_{w})t_{w}
2400=(450-v_{w})(11-t_e) 

We can conclude that the system of equations that represent the situation if the round trip takes 11 hours is:
2400=(450-v_{w})(11-t_e) equation (1)
2400=(450+v_{w})t_{e} equation (2)

3. Lets solve our system of equations to find the speed of the wind: 
2400=(450-v_{w})(11-t_e) equation (1)
2400=(450+v_{w})t_{e} equation (2)

Step 1. Solve for t_{e} in equation (2)
2400=(450+v_{w})t_{e}
t_{e}= \frac{2400}{450+v_{w}} equation (3)

Step 2. Replace equation (3) in equation (1) and solve for v_w:
2400=(450-v_{w})(11-t_e)
2400=(450-v_{w})(11-\frac{2400}{450+v_{w}} )
2400=(450-v_{w})( \frac{4950+11v_w-2400}{450+v_{w}} )
2400=(450-v_{w})( \frac{255011v_w}{450+v_{w}} )
2400= \frac{1147500+4950v_w-2550v_w-11(v_w)^2}{450+v_{w}}
2400(450+v_{w})=1147500+2400v_w-11(v_w)^2
1080000+2400v_w=1147500+2400v_w-11(v_w)^2
(11v_w)^2-67500=0
11(v_w)^2=67500
(v_w)^2= \frac{67500}{11}
v_w= \sqrt{\frac{67500}{11}}
v_w=78

We can conclude that the speed of the wind is 78 mi/hr.
6 0
3 years ago
Find the surface area of the following Cube. <br> 4in<br> 4in<br> 4in
Assoli18 [71]

Answer:

In words, the surface area of a cube is the area of the six squares that cover it. The area of one of them is a*a, or a 2 . Since these are all the same, you can multiply one of them by six, so the surface area of a cube is 6 times one of the sides squared.

Step-by-step explanation:

3 0
3 years ago
I want to divid 18 divided by 5
user100 [1]

Answer:

The answer is 3.6

7 0
3 years ago
Read 2 more answers
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