Answer:
Step-by-step explanation:
Represent Celsius with C and Fahrenheit with F.
So, we have:
Solving (a): Represent as a linear equation
First, we calculate the slope:
This gives:
The linear equation is then calculated using:
Where
Make F the subject
Solving (b): The value of F when C = 30
Substitute 30 for C in
Answer:
position 1 5 8 12 19 25
term -8 8 20 36 64 88
Step-by-step explanation:
(n - 1) is position ( n ∈ N)
d is the distance between the numbers in the sequence
a1 is the first number in the sequence
we have the fuction: a(n) = a1 + (n - 1)d
see in the table, with position = 1, term = -8 => a1 + d = -8
position = 25, term = 88 => a1 + 25d = 88
=> we have: a1 + d = -8
a1 + 25d = 88
=> a1 = -12
d = 4
=> a(n) = -12 + 4(n - 1)
=> term = 8, position = (8 + 12)/4 = 5
position = 8, term = -12 + 4.8 = 20
term = 36, position = (36 + 12)/4 = 12
position = 19, term = -12 + 4.19 = 64
Answer:
y=6
Step-by-step explanation:
x=20
y=10
x=15 > 20x=15
x=15/20
x=3/5
y=10(3/5)
=6
Volume of the cube is 1000 cm³
Step-by-step explanation:
- Step 1: Find the volume of the cube.
Side of the cube = 10 cm
⇒ Volume of the cube =(side)³ = 10³ = 1000 cm³
Remember that c is the initial height. Since we the rocket is in a 99-foot cliff, c=99. Also, we know that the velocity of the rocket is 122 ft/s; therefore v=122
Lets replace the values into the the vertical motion formula to get:
Notice that the rocket hits the ground at the bottom of the cliff, which means that the final height is 99-foot bellow its original position; therefore, our final height will be h=-99
Lets replace this into our equation to get:
Now we can apply the quadratic formula
where a=-16, b=122, and c=198
or
or
or
Since the time can't be negative, we can conclude that the rocket hits the ground after 9 seconds.
