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2 years ago

7

The table shows the number of songs that were downloaded and the total cost for buying the songs. What is the rate of change for

the function in the table? 2 songs for $1 $2 per song 4 songs for $1 $4 per song

2 answers:

Gennadij [26K]2 years ago

6 0

Answer:

it is $2 per song

pantera1 [17]2 years ago

3 0

Answer:

2 dollars per song

Step-by-step explanation:

You might be interested in

A potato chip company makes chips to fill snack-size bags and family size bag. in one week production cannot exceed 2400 units,

Ainat [17]

Answer:

600 units of for snack-size, 1800 units for family-size

Step-by-step explanation:

7 0

2 years ago

The average lethal blood concentration of morphine is estimated to be 2.5 µg/mL with a standard deviation of 0.95 µg/mL. The dat

dmitriy555 [2]

Answer:

The probability associated with the range lethal morphine blood levels is 0.9902.

Step-by-step explanation:

Let <em>X</em> = lethal blood concentration of morphine.

The random variable <em>X</em> is normally distributed with parameter <em>μ</em> = 2.5 μg/ mL and <em>σ</em> = 0.95 μg/ mL.

Compute the probability of <em>X</em> within the range 0.05 to 4.95 μg/ mL as follows:

$P(0.05$

*Use a <em>z</em>-table for the probability.

Thus, the probability associated with the range lethal morphine blood levels is 0.9902.

5 0

2 years ago

In a health club, research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard dev

Paha777 [63]

Answer:

0.3114

Option d is right

Step-by-step explanation:

Let X be the time spent on a treadmill in the health club

Given that research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard deviation of 5.4 minutes

Also given that X is normal

the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.

$= P(30$

round off to two decimals tog et

the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill is 0.31

Hence option d is right

3 0

2 years ago

Sara wants to find the input value that produces the same output for the functions represented by the tables.

Korolek [52]

Answer:

The input value that produces the same output value in both charts is 2.

Step-by-step explanation:

You are given two functions $f(x)=-0.5x+2$ and $g(x)=2x-3$ with tables

$\begin{array}{cc}x&f(x)\\-3&3.5\\-2&3\\-1&2.5\\0&2\\1&1.5\\2&1\\3&0.5\end{array}$

and

$\begin{array}{cc}x&g(x)\\-3&\\-2&\\-1&\\0&\\1&\\2&\\3&\end{array}$

First, fill in the second table:

$g(-3)=2\cdot (-3)-3=-6-3=-9\\ \\g(-2)=2\cdot (-2)-3=-7\\ \\g(-1)=2\cdot (-1)-3=-5\\ \\g(0)=2\cdot 0-3=-3\\ \\g(1)=2\cdot 1-3=-1\\ \\g(2)=2\cdot 2-3=1\\ \\g(3)=2\cdot 3-3=3$

Hence, the second table is

$\begin{array}{cc}x&g(x)\\-3&-9\\-2&-7\\-1&-5\\0&-3\\1&-1\\2&1\\3&3\end{array}$

The input value that produces the same output value in both charts is 2.

6 0

2 years ago

Read 2 more answers

You and your friend each collect rocks and fossils. Your friend collects three times as many rocks and half as many fossils as y

pochemuha

Answer:

I collect 4 rocks and 16 fossils. While my friend collects 12 rocks and 8 fossils.

Step-by-step explanation:

The number of total objects collected by me = 20

The number of objects collected by my friend = 20

Let us assume:

The number of rocks collected by me = m

The number of fossils collected by me = 2 k

⇒ m + 2 k = 20 .... (1)

So, according to the question:

The number of rocks collected by my friend = 3 x (rocks collected by me)

= 3 x (m) = 3 m

The number of fossils collected by my friend = 1/2 x (fossils collected by me) = 1/2 x (2k ) = k

⇒ 3 m + k = 20 .... (2)

Solving (1)and (2) for the value of m and k, we get:

m + 2 k = 20 ⇒ m = 20 - 2 k ... Put this in (2)

3 m + k = 20 ⇒ 3 (20 - 2 k) + k = 20

⇒ 60 - 6 k + k = 20

or, - 5k = -40

or, k = 40/5 = 8

⇒ k= 8

m + 2(8) = 20

or, m = 4

Hence, the number of rocks collected by me = m = 4

The number of fossils collected by me = 2 k = 2 (4) = 16

Hence, the number of rocks collected by my friend = 3 m = 3 x 4 = 12

The number of fossils collected by my friend = k = 8

Hence, I collect 4 rocks and 16 fossils. While my friend collects 12 rocks and 8 fossils.

4 0

2 years ago