Answer:
175lb
Step-by-step explanation:
Let's say 100% - original weight
and 12% - 21lb
weight = (100*21)/12=175lb
Answer: y = 54(1.06)^t
Step-by-step explanation:
It is estimated that the population of bacteria will increase by 6% each hour. This is an exponential growth. The formula for determining exponential growth is expressed as
y = b(1 + r)^ t
Where
y represents the population after t years.
t represents the number of years.
b represents the initial population.
r represents rate of growth.
From the information given,
b = 54
r = 6% = 6/100 = 0.06
Therefore, the formula for the population of bacteria is
y = 54(1 + 0.06)^t
y = 54(1.06)^t
Answer:
x = 50°
Step-by-step explanation:
The sum of the measures of the angles of a quadrilateral is 360°
360 - 40 - 80 - 110 = 130
130 is the measure of the quad that is adjacent to the angle of x° and is supplementary to that angle also.
Therefore, x = 180 - 130 = 50
Given:
It is given that,
PQ ⊥ PS and
∠QPR = 7x-9
∠RPS = 4x+22
To find the value of ∠QPR.
Formula
As per the given problem PR lies between PQ and PS,
So,
∠QPR+∠RPS = 90°
Now,
Putting the values of ∠RPS and ∠QPR we get,
or, 
or, 
or, 
or, 
Substituting the value of in ∠QPR we get,
∠QPR = 
or, ∠QPR = 
Hence,
The value of ∠QPR is 40°.
Answer:
Subtract 5, double, subtract 5 doubled, so on.
