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Studentka2010 [4]
3 years ago
12

William is digging a hole to plant a tree.The hole has to be in 2 ft deep.He is able to dig at a rate of 1/2 ft. per minute.Writ

e an equation for when y,the amount he has left to dig is a function of x,the amount of time he has been digging
Mathematics
1 answer:
Mars2501 [29]3 years ago
8 0

Answer:

y=-\dfrac{1}{2}x+2

Step-by-step explanation:

Let

x = the amount of time William has been digging

y = the amount he has left to dig

The hole has to be in 2 ft deep. This means when William starts, the hole was 0 feet deep and has left 2 ft to dig. Hence, y-intercept is b=2

He is able to dig at a rate of \frac{1}{2} ft per minute. Thus, the slope is m=-\frac{1}{2} (negative because the depth left to dig is decreasing).

The slope-intercept form of the equation is y=mx+b, so in your case this equation is

y=-\dfrac{1}{2}x+2

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Would really appreciate if u could help me with all letters but even a few are great! Thanks (the graph is hard to explain so i
defon
Part A

The equation is b = 36*a or simply b = 36a

We take the size of the farm 'a' and multiply it by 36 to get the number of bushels of corn 'b'.

-----------------------------------

Part B

The 36 means there are 36 times more bushels of corn compared to the size of the farm in acres

For example, if the size is 2 acres then 
b = 36*a
b = 36*2
b = 72
yielding 72 bushels of corn

-----------------------------------

Part C

Along the first row you should have: 25 and 30 in the missing blanks (over 900 and 1080 respectively)

You find this by dividing the value of b over 36
eg: b/36 = 900/36 = 25

-------

Then along the bottom row you should have the following for the blanks: 0, 360, 1800

These values are found by multiplying the 'a' value by 36
eg: if a = 10 then b = 36*a = 36*10 = 360

-----------------------------------

Part D

Plot any two points you want from the table back in part C
So plot say (0,0) and (10,360). Then draw a straight line through those two points.

-----------------------------------

Part E

The point (30,1080) means a = 30 and b = 1080
So if the farm is 30 acres, then it can produce 1080 bushels of corn

Notice how
b = 36*a
b = 36*30 <<-- replace 'a' with 30
b = 180
And how this matches up with the fourth column of the table in part C. So you can use this part to get a hint of how to fill out the table (or at least know what one column looks like)


8 0
3 years ago
George says that 4+ a +a+a+b+b=24ab
antoniya [11.8K]

Answer:

3a+2b+4

Step-by-step explanation:

24ab indicates that there is 24 of unit ab which there is not. there is 4+ 3a+2b

4 0
3 years ago
The number of people arriving for treatment at an emergency room can be modeled by a Poisson process with a rate parameter of si
OverLord2011 [107]

Answer:

a) P(x=3)=0.089

b) P(x≥3)=0.938

c) 1.5 arrivals

Step-by-step explanation:

Let t be the time (in hours), then random variable X is the number of people arriving for treatment at an emergency room.

The variable X is modeled by a Poisson process with a rate parameter of λ=6.

The probability of exactly k arrivals in a particular hour can be written as:

P(x=k)=\lambda^{k} \cdot e^{-\lambda}/k!\\\\P(x=k)=6^k\cdot e^{-6}/k!

a) The probability that exactly 3 arrivals occur during a particular hour is:

P(x=3)=6^{3} \cdot e^{-6}/3!=216*0.0025/6=0.089\\\\

b) The probability that <em>at least</em> 3 people arrive during a particular hour is:

P(x\geq3)=1-[P(x=0)+P(x=1)+P(x=2)]\\\\\\P(0)=6^{0} \cdot e^{-6}/0!=1*0.0025/1=0.002\\\\P(1)=6^{1} \cdot e^{-6}/1!=6*0.0025/1=0.015\\\\P(2)=6^{2} \cdot e^{-6}/2!=36*0.0025/2=0.045\\\\\\P(x\geq3)=1-[0.002+0.015+0.045]=1-0.062=0.938

c) In this case, t=0.25, so we recalculate the parameter as:

\lambda =r\cdot t=6\;h^{-1}\cdot 0.25 h=1.5

The expected value for a Poisson distribution is equal to its parameter λ, so in this case we expect 1.5 arrivals in a period of 15 minutes.

E(x)=\lambda=1.5

3 0
3 years ago
What is the value of the expression p – 26 when p = 12?
serious [3.7K]
The answer is -14 cuz if u subtract 16 from 26 it will have nothing cuz there I s not enough so it will go to a negative 14 in order to subtract it all the way

HOPE U UNDERSTOOD:))  >_<

7 0
3 years ago
I WILL MARK BRAINLIEST!! Which could have been the first step in creating this construction?
Fed [463]

Answer:

Place the compass point on vertex Y and draw an arc that intersects YX and YZ

Step-by-step explanation:

Given the construction of dividing an angle inteo two equal parts.

we have to find the first step of construction.

As seen in figure the angle ∠XYZ is dividing into two equal parts.

The first step of construction is to place the needle of compass at Y and draw an arc that intersects YX and YZ.

Hence, the correct option is option C.

Place the compass point on vertex Y and draw an arc that intersects YX and YZ

8 0
3 years ago
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