Write an equation of the line whose slope is -2 and whose y-intercept is 1.

X 2 4 8 10 16 Y12 45 09 Oy= 2 x Oy=1 x O y=x-1 Oy=x+2

MrRa [10]

Answer:

y = x ÷ 2

Step-by-step explanation:

We are given a table of values, which will be represented as ordered pairs (x,y) below:

(2,1) (4,2) (8,4) (10,5) (16,8)

We are required to select one of the functions that match the numeric relationship between x and y.

We could test them one by one, but at simple observation, we can note the values of y are half of the values of x:

2/2=1

4/2=2

And so on. Thus the only function that divides the value of x by 2 to find the value of y is:

y = x ÷ 2

6 0

3 years ago

A factory dumps an average of 2.43 tons of pollutants into a river every week. if the standard deviation is 0.88 tons, what is t

vovikov84 [41]

25.8%
First, determine how many standard deviations from the norm that 3 tons are. So:
(3 - 2.43) / 0.88 = 0.57/0.88 = 0.647727273
So 3 tons would be 0.647727273 deviations from the norm. Now using a standard normal table, lookup the value 0.65 (the table I'm using has z-values to only 2 decimal places, so I rounded the z-value I got from 0.647727273 to 0.65). The value I got is 0.24215. Now this value is the probability of getting a value between the mean and the z-score. What I want is the probability of getting that z-score and anything higher. So subtract the value from 0.5, so 0.5 - 0.24215 = 0.25785 = 25.785%
So the probability that more than 3 tons will be dumped in a week is 25.8%

5 0

3 years ago

The equation for the cost in dollars of producing computer chips is y =.000015x^2-.03x+35. Where x is the number of chips produc

Anna35 [415]

In order to find the number of chips that would result in the minimum cost, we take the first derivative of the given equation. Note that the derivative refers to the slope of the graph at a given point. We can utilize this concept knowing that at the minimum or maximum point of a graph, the slope is zero.

Taking the derivative of the given equation and equating it to zero, we have:

y' = (0.000015)(2)x - (0.03)x° + 0
0 = (0.00003)x - 0.03

Solving for x or the number of chips produced, we have x = 1000. We then substitute this value in the given equation, such that,

y = (0.000015)(1000)² - (0.03)(1000) + 35

The minimized cost, y, to produce 1000 chips is then calculated to be $20.

6 0

3 years ago

What is the volume of a sphere with a radius of 4

Ede4ka [16]

Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere which is shown below.

$V = \frac{4}{3}\pi r^{3}$

Here, we are given that our sphere has a radius of 4 units.

So plugging into the formula, we have $(\frac{4}{3})(\pi)(4 units)^{3}$ .

Start by simplifying the exponent.

(4 units)³ is equal to (4 units) (4 units) (4 units) or 64 units³.

So we have $(\frac{4}{3})(\pi)(64 units^3})$ .

Next, we multiply (4/3)(64) which can

be thought of as (4/3)(64/1)

So multiplying across the numerators and across the denominators,

we have $\frac{256}{3} \pi units^{3}$ .

5 0

3 years ago

You unfold chicken wire to make a circular pen. The area of the pen is 78.5 square meters. How many meters of chicken wire do yo

Lelu [443]

Circular pen means you are going to use Area = Pi(r^2).

So 78.5 = pi(r^2). Divide by pi on both sides to get r^2 = 78.5/pi. Take the square root of that to get r or radius = approximately 4.99. If you need an exact answer then use $\sqrt{ \frac{78.5}{ \pi } }$ for the next part because you are not done yet.

Plug whatever R you use into the circumference formula of Circumference = 2(pi)(r).

If you use 4.99, you do 2(pi)(4.99) which is approximately 31.35. If you use the exact answer, you do 2(pi)( $\sqrt{ \frac{78.5}{ \pi} }$ ) which gives you approximately 31.41.

Either way you'll need about 31 meters of chicken wire but the 31.40796 or ~31.41 is closer to the exact answer.

8 0

3 years ago