Answer:
D. dA/dt = 4h dh/dt in²/sec
Step-by-step explanation:
Given:
A = wh
w = 2h
Substitute:
A = 2h²
Take derivative with respect to time:
dA/dt = 4h dh/dt
dA/dt has units of in²/sec.
Answer:
100 children
150 adults
Step-by-step explanation:
c- children
a- adults
---------------
we get equations as per question:
- 1.5c+4a= 750
- c+a= 250 ⇒ a= 250- c
- 1.5c +4(250-c)= 750 ⇒
- 1.5c- 4c+1000=750 ⇒
- 2.5 c= 250 ⇒
- c= 100
- a= 250-100 ⇒
- a= 150
Children 100, adults 150
Answer:
see explanation
Step-by-step explanation:
the domain ( values of x ) that a quadratic can have is all real numbers
domain : - ∞ < x < ∞
the range ( values of y ) are from the vertex upwards , that is
range : y ≥ - 2
Answer:
x<6/5, x>14/5
Step-by-step explanation:
Steps
$5\left|x-2\right|+4>8$
$\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}$
$5\left|x-2\right|+4-4>8-4$
$\mathrm{Simplify}$
$5\left|x-2\right|>4$
$\mathrm{Divide\:both\:sides\:by\:}5$
$\frac{5\left|x-2\right|}{5}>\frac{4}{5}$
$\mathrm{Simplify}$
$\left|x-2\right|>\frac{4}{5}$
$\mathrm{Apply\:absolute\:rule}:\quad\mathrm{If}\:|u|\:>\:a,\:a>0\:\mathrm{then}\:u\:<\:-a\:\quad\mathrm{or}\quad\:u\:>\:a$
$x-2<-\frac{4}{5}\quad\mathrm{or}\quad\:x-2>\frac{4}{5}$
Show Steps
$x-2<-\frac{4}{5}\quad:\quad x<\frac{6}{5}$
Show Steps
$x-2>\frac{4}{5}\quad:\quad x>\frac{14}{5}$
$\mathrm{Combine\:the\:intervals}$
$x<\frac{6}{5}\quad\mathrm{or}\quad\:x>\frac{14}{5}$
Answer:
16 rooms
Step-by-step explanation:
