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Liono4ka [1.6K]
3 years ago
12

The table shows the amounts y (in tons) of waste left in a landfill after x months of waste relocation. Use the table to complet

e the statements.
x 0 3 6
y 24 18 12

It takes Response_________ months to empty the landfill.
Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0

Answer: it would take 1 year

Step-by-step explanation: scince it took 1/2 a year to get rid of half the waste it would take another 1/2 a year to get rid of the rest to it would take 1 year to get rid of all of the waste

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Can someone please help me
EastWind [94]
Let 
x = measure of angle TAP
y = measure of angle BRE

We're told that "angle BRE is its own complement" meaning that angle BRE added to itself is 90 degrees. In algebraic terms, we can say

y+y = 90
2y = 90
2y/2 = 90/2
y = 45

So angle BRE is 45 degrees. Note how 45+45 = 90. 

We also know that angle TAP and angle BRE are supplementary. They add up to 180 degrees

x+y = 180
x+45 = 180 ... replace y with 45
x+45-45 = 180-45 ... subtract 45 from both sides
x = 135

Since we defined x to be the measure of angle TAP, this means that angle TAP is 135 degrees

5 0
3 years ago
You buy a box worth of Takis chips for $20(how many bags does not matter). You want to sell
Ronch [10]
You would need to sell at least 11 bags in order to make $68 profit. In total, to earn back what you spent on the box originally, you would need to make $88, which is how much 11 bags costs. If you make $88, then you have earned back the $20 spent on the box, and made the $68 profit.
7 0
2 years ago
An object of mass 2020 kg is released from rest 30003000 m above the ground and allowed to fall under the influence of gravity.
Liono4ka [1.6K]

Answer:

Equation of motion

x(t) = -9.81*t  + 3000

The object will strike the​ ground in 305.81 sec

Step-by-step explanation:

a) Determine the equation of motion of the object

If x(t) repsent the distance the object has fallen in t seconds, then we have x'(t) and x''(t) represent the speed and acceleration respectively.

Since the force due to air resistance is proportional to the velocity of the object with proportionality constant b = 50 N-sec/m, we have

<em>F(t) = 50x'(t)  </em>(1)

Due to Newton's 2nd law of motion (assuming the mass remains constant )

<em>F(t) = mx''(t) = 50x''(t) </em>

As the mass was released from rest, <em>the acceleration is the gravity</em>, and

<em>F(t) = 50*(-9.81) = -490.5 N/m </em>

The negative sign is due to the fact that the mass is falling downwards.

Replacing in (1) we get

<em>-490.5 = 50x'(t) ===> x'(t) = -9.81 m/sec </em>

and

<em>x'(t) = -9.81 m/sec </em>

This is a simple differential equation which can be solved directly by integration

<em>x(t) = -9.81*t  + C  </em>

where C is a constant, but we know that x(0) = 3000 m, so

<em>C = 3000 </em>

We then have our final equation of motion which is

x(t) = -9.81*t  + 3000

b) When will the object strike the​ ground?

The object will strike the ground for the instant t for which x(t) = 0

<em>x(t) = 0 ===> 9.81*t = 3000 ===> t = 3000/9.81 ===> </em><em>t = 305.81 sec </em>

3 0
2 years ago
Pls help with this!!
ANEK [815]
A)
Let X be the food expenditure of a family.
Let the population mean of an expenditure of a family be.
Let the population standard deviation of an expenditure of a family be.
The proportion families spend more than $30 but less than $490 per month on food is,
7 0
2 years ago
Sachin used synthetic division to divide a polynomial, p(x), by x + 5 and found that there was no remainder. What does this tell
Setler [38]

Answer:

A

Step-by-step explanation:

7 0
2 years ago
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