Answer:
y = - 24
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 12 when x = - 3
k = 
= 
= - 4
y = - 4x ← equation of variation
When x = 6, then
y = - 4 × 6 = - 24
Answer:
112
Step-by-step explanation:
Multiply 7 times 4 to get the amount of cars made in one week
7 x 4= 28
Then multiply that by how many weeks there are
4 x 28= 112
Answer:
546,397 people
Step-by-step explanation:
We solve for the above question, using the formula for Exponential growth
The formula is given as
P(t) = Po (1 + r)^t
Po = Initial population = 310,000
r = Exponential growth rate = 6.5% = 0.065
t = Time in years = 9
P(t) = Population size after time t
Hence:
P(t) = 310,000 × (1 + 0.065)⁹
P(t) = 546,396.82088 people
Approximately =546,397 people
The population will be 546,397 people after 9 years.
E is exponents, D is division, A is addition
In this item, it is unfortunate that a figure, drawing, or illustration is not given. To be able to answer this, it is assumed that these segments are collinear. Points L, M, and N are collinear, and that L lies between MN.
The length of the whole segment MN is the sum of the length of the subsegments, LN and LM. This can be mathematically expressed,
LN + LM = MN
We are given with the lengths of the smalller segments and substituting the known values,
MN = 54 + 31
MN = 85
<em>ANSWER: MN = 85</em>
