Jackie wants to keep her total work time <em>under </em>20 hours, so we can set up a rough inequality right away:
(work time in hours) < 20
Now, it's going to take here 1/2 = 0.5 hours to finish each necklace, an 1 hour to finish each bracelet, so if she's making x necklaces, it'll take her 0.5x hours to make all of them, and if she's making y bracelets, it'll take her 1y = y hours to finish those. Putting the two together, it'll take her 0.5x + y hours altogether to make the necklaces and bracelets. Putting that together with our first inequality, we get the final inequality
0.5x + y < 20
The slope of the line is:(1-(-8))/4-0=9/4
Answer:
1) decay
2) growth
3) growth
Step-by-step explanation:
A generic exponential function can be written as:
f(x) = A*(r)^x
Where:
A is the initial amount of something.
r is the rate of growth.
x is the variable, usually, represents time.
if r > 1, we have an exponential growth.
if r < 1, we have an exponential decay.
1) f(x) = (3/4)^x
in this case we have:
A = 1
r = (3/4) = 0.75
Clearly, r < 1.
Then this is an exponential decay.
2) f(x) = (1/6)*4^x
In this case we have:
A = (1/6)
r = 4
Here we have r > 1.
Then this is an exponential growth.
3) f(x) = (1/4)*(5/2)^x
in this case we have:
A = 1/4
r = 5/2 = 2.5
here we have r > 1, then this is an exponential growth.
Notes separated by a perfect fifth have a frequency ratio of 3:2.
The frequency of the note a perfect fifth below B3 will be
246.94×2/3 = 164.62667
The appropriate choice is ...
164.63 Hz
Answer:
37 and 26
Step-by-step explanation:
Let the bigger number be x and the smaller number be y.
Then the two numbers total 63 will give us:
y+x=63------>eqn1
The two numbers have a difference of 11.
y-x=11------->eqn2
We add equations 1 and 2 to obtain:
2y=74
Divide both sides to get:
y=37
Put y=37 into eqn2 to get:
37-x=11
x=37-11
x=26
This larger number is 37 and the smaller number is 26