Answer:
x=16
Step-by-step explanation:
Process in photo.......
The Numerical expansion for the phrase is Negaquinary and Balanced Septenary added to Balanced Quaternary.
Simplification Answer : 6(Senary)
Step-by-step explanation:
- The Numerical expression for the -5 is Negaquinary.
- The Numerical expression for the +7 is Balanced Septenary.
- The Numerical expression for the +4 is Balanced Quaternary.
- STEP 1 : -5+7 = +5
- STEP 2 : +5+4 = 6.
- The Numerical expression for the 6 is Senary.
Answer: the rate of the water level in the cone falling when it is 5cm from the bottom of the cone is -0.1768 cm/sec
Step-by-step explanation:
Given the data in the question;
H/h = R/r
10/5 = 6/r
r 1 = 30/10 = 3
Also
10/h = 6/r
r2 = 6h/10 = 3/5 × h
Volume = 1/3πr²h
V = 1/3 × π × (3/5 × h)² × h
V = 1/3 × π × 9/25 × h³
V = 3π/25 × h³
Now
dv/dt = 3π/25 × 3 × h² × dh/dt
-5 = 3π/25 × 3 × 25 × dh/dt
-5 = 3π × 3 × dh/dt
-5 = 9π × dh/dt
dh/dt = -5/9π
dh/dt = -0.1768 cm/sec
therefore, the rate of the water level in the cone falling when it is 5cm from the bottom of the cone is -0.1768 cm/sec
Answer:
The gas bill increases by $50
Step-by-step explanation:
We know that the increase in gas bills is directly proportional to the temperature setting. Let's take the increase in gas bills as g and increase in temperature setting as t. Thus, this can be written as:
g ∝ t
In every proportionality, there is a constant k, so it will be:
g = kt
It is mentioned that when the temperature setting increases by 4, the gas bill increases by $20, so in terms of the constant, we can write it as:
20 = k 4
We don't know the value of the constant, so we have to first find it out.
k = 20 ÷ 4
k = 5
Thus,
g = 5t
Now that we know the value of the constant, we can find by how much the gas bill will increase if the temperature setting increases by 10.
g = 5 × 10
g = <u>50</u>
∴ the gas bill increases by $50 when the temperature setting increases by 10 degrees Fahrenheit.
1024 is the smallest number which is a perfect square root.
32 times 32 is 1024
