Answer: 3 times.
Step-by-step explanation:
Here, The Volume of the gas tank = 4710 
While, The radius of the cylindrical shaped bucket = 5 in
And, Height of the cylindrical shaped bucket = 20 in
Therefore, The volume of the bucket = 
= 3.14 × 5 × 5 × 20 = 1570
According to the question, cylinder shaped bucket is used to fill the tank.
Thus, The number of times the bucket will be used to fill the tank
= The Volume of the gas tank/ The volume of the bucket = 4710/1570 = 3
Therefore, The bucket will be used three times to fill the tank.
Answer:
the answer is 14
Step-by-step explanation:
Since 8 is double of four and you cant find the denominator just double 7 to get 14.
Hope this helped.
A brainliest is always appreciated.
Answer:
A.) gf(x) = 3x^2 + 12x + 9
B.) g'(x) = 2
Step-by-step explanation:
A.) The two given functions are:
f(x) = (x + 2)^2 and g(x) = 3(x - 1)
Open the bracket of the two functions
f(x) = (x + 2)^2
f(x) = x^2 + 2x + 2x + 4
f(x) = x^2 + 4x + 4
and
g(x) = 3(x - 1)
g(x) = 3x - 3
To find gf(x), substitute f(x) for x in g(x)
gf(x) = 3( x^2 + 4x + 4 ) - 3
gf(x) = 3x^2 + 12x + 12 - 3
gf(x) = 3x^2 + 12x + 9
Where
a = 3, b = 12, c = 9
B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)
To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula
Y = 3x + 3
X = 3y + 3
Make y the subject of formula
3y = x - 3
Y = x/3 - 3/3
Y = x/3 - 1
Therefore, g'(x) = x/3 - 1
For g'(12), substitute 12 for x in g' (x)
g'(x) = 12/4 - 1
g'(x) = 3 - 1
g'(x) = 2.
Answer:
5, 42, 15, 82
Step-by-step explanation:
y=4x+2
22=4x+2
20=4x
5=x
y=4(10)+2
y=40+2
y=42
62=4x+2
60=4x
15=x
y=4(20)+2
y=80+2
y=82
