Answer:
see explanation
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of variation
(a)
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
When M = 540, then
540 = 2.5r³ ( divide both sides by 2.5 )_
216 = r³ ( take the cube root of both sides )
r = ![\sqrt[3]{216}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216%7D)
= 6
Answer:
Adding the exponents
Step-by-step explanation:
Multiplying exponential terms with the same base
To multiply exponents with same base , we use exponential property
When we multiply exponents with same base then we add the exponents
So, adding the exponents best explains to simplify the expression that has same base with exponents .
Number of tables al four restaurants have;
= 4 * 30
=120 tables
Two new restaurants + 4
=6 restaurants
(120+15+9)= 144 tables
Mean = total # of tables/ total # of restaurants;
144/6
=24
This is the mean so it decreases. I hope this helps even though you didn’t actually post the number line
Answer: need the options you choos frome
Step-by-step explanation:
Out of 135 adults, 85 were employed
85/135 is your fraction form
85/135 = 0.629 (decimal form)
0.629 (move the decimal point to the right two place values) = 62.9% (percent form)
hope this helps
