Which is a better buy on apples 5lbs. for $5.25 OR 10lbs. for $10.25

A worker at an orchard measures the mass of different numbers of apples. The scatter plot below shows the relationship between t

djverab [1.8K]

To evaluate for the slope we use the formula:
slope,m=(y₁-y)/(x₁-x)
thus selecting 2 points from the graph where the line cuts, (0,0) and (5, 0.6)
thus plugging the values in the formula and simplifying we obtain:
m=(0.6-0)/(5-0)
m=0.6/5
m=0.12
hence the slope of the line of best fit is m=0.12

4 0

2 years ago

Mary opened a savings account with a deposit of $18,000.

ELEN [110]

Answer:

0.7% I think

Step-by-step explanation:

3 0

2 years ago

Which equation represents a linear function?

quester [9]

Answer:

Step-by-step explanation:

y = 9 - X is a linear function; x is to the first power.

y = x2 + 1 does NOT represent a linear function; it's a quadratic function.

o

y=x² + 5 does NOT represent a linear function; it's a quadratic function.

D)

y = [xl - 9 does NOT represent a linear function; it's an absolute value function. This function has two halves, each of which is a linear function.

But the best answer here is that y = 9 - X is a linear function; x is to the first power.

3 0

2 years ago

Determine the commutators of the operators a and a+,where a = (x + ip)/2 ^1/2 and a+ = (x - ip)/ 2 ^1/2

Vsevolod [243]

Answer:

Given that:

$a = (\frac{x+ip}{2})^{\frac{1}{2}}$ and $a+= (\frac{x-ip}{2})^{\frac{1}{2}}$

if a , a+ commutator, it obeys $aa^+ = a^+a$

First find:

$aa^+ = (\frac{x+ip}{2})^{\frac{1}{2}} (\frac{x-ip}{2})^{\frac{1}{2}}$

= $(\frac{(x)^2-(ip)^2}{4})^{\frac{1}{2}}=(\frac{(x)^2+(p)^2}{4})^{\frac{1}{2}}$

Now;

$a^+a =(\frac{x-ip}{2})^{\frac{1}{2}} (\frac{x+ip}{2})^{\frac{1}{2}} = (\frac{(x)^2-(ip)^2}{4})^{\frac{1}{2}}$

= $(\frac{(x)^2-(ip)^2}{4})^{\frac{1}{2}}=(\frac{(x)^2+(p)^2}{4})^{\frac{1}{2}}$

therefore, $aa^+ = a^+a$ which implies the operators a and a+ are commutators.

7 0

3 years ago

How to do this question plz answer

ANEK [815]

9514 1404 393

Answer:

more than half are being used

Step-by-step explanation:

Perhaps easiest to understand is the most straightforward: figure the total number of seats and the number of seats being used. Check to see if that is more than half.

The 1 first-class carriage has usage of ...

(3/8)(64 seats) = 24 seats.

The 6 standard carriages have usage of ...

(7/13)(6 · 78 seats) = 252 seats.

The total number of seats used is ...

24 + 252 = 276 . . . . seats used

__

The total number of seats on the train is ...

1·64 +6·78 = 532 . . . . seats on the train

Half of the seats on the train will be ...

532/2 = 266 seats . . . . half the seats

The 276 used seats are more than half of the total number. More than half the seats are being used.

_____

Alternate solution

Another way to look at this is to compare utilization to 1/2 in each carriage class.

In first class 1/2 -3/8 = 1/8 of 64 seats = 8 seats fewer than 1/2 the seats are being used.

In standard class, 7/13 -1/2 = 14/26 -13/26 = 1/26 of 78 seats = 3 seats more than 1/2 the seats are being used. There are 6 standard class carriages, so 6·3 = 18 more than half the seats in the standard-class carriages are being used.

This number is 10 more than the 8 under-utilized seats in first class, so more than half the train seats are being used.

8 0

2 years ago