Answer:
4(7y - 9)
Step-by-step explanation:
The greatest common factor you can factor out of both monomials is 4.
28y - 36
4(7y - 9)
<span>y = tan^−1(x2/4)</span>
tan(y) = x2/4
sec2(y) = x/2
y′ = xcos^2(y)/2
<span>cos^2(y) = <span>16x2+16</span></span>
<span>y′ = <span>8x/(<span>x2+16)
let u be x2+16
du is 2x dx
dy = 4 du / u
y = 4 ln (</span></span></span>x2 <span>+ 16)
y at x =0 = </span> 4 ln (<span>16) = 11.09</span>
The prisms are congruent if the lengths of corresponding edges are in a 1:1 ratio, the volumes and the base areas are equal and the prisms have same height
Step-by-step explanation:
For the two prisms to be congruent the following properties should hold TRUE
The lengths of corresponding edges are in a 1:1 ratio.
The volumes are equal.
The base areas are equal.
The prisms have the same height.
Answer:
$1620
Step-by-step explanation:
9% of budget = 0.09 × $18000 = $1620
Anthony spent $1620 on the family room.
Answer:
1.2218 atm
Step-by-step explanation:
From ideal gas formula,
PV=nRT
Where n= number of moles
V= volume
T= temperature=25.0°C
= (273 + 25) = 298 K
R= gas constant = 0.082 l atm /K mol.
Making P subject of formula we have
P= [nRT] /V
Then substitute the values we have
P= [0.5 x 0.082 x 298] / 10
P= 1.2218 atm
