Answer:
Step-by-step explanation:
The total amount of punch that Jennifer made for her party is 5 Liters. Her brother made another 750 milliliters.
1000 milliliters = 1 liter
750 milliliters = 750/1000 = 0.75Liter
if they combine the two batches, the total amount made would be
5 + 0.75 = 5.75Liter
= 5.75 × 1000 = 5750 milliliters
The number of 180 milliliters servings would be
5750/180 = 31 servings
There would be leftovers of 170 milliliters
Answer:
t=2.08 seconds.
Step-by-step explanation:
Well, in this example, H(t)=-0.6cos(2pi/2.5)t+1.5 should be equal to 1.2. If calculated, -0.6cos(0.8pi)t=1.2-1.5 which is equal to -0.6cos(0.8pi)t=-0.3, then cos(0.8pi)t=0.5. The value of cosine in terms of radians when it is equal to 0.5 is pi/3. So, cos(0.8pi)t=cos(pi/3). If simplified, (0.8pi)*t=5pi/3. pi's are cancelled out and t is calculated as 2.08333... If rounded to the nearest hundredth it is 2.08.
Answer:
x = -2
Step-by-step explanation:
The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of the factor.
(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.
(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.
To find where it will touch the axis set the factor equal to zero and solve.
(x + 2) = 0
subtract 2 from both sides
x = -2
Answer:
h<14
Step-by-step explanation:
2h+8>3h-6
2h-3h+8>-6
-h+8>-6
-h>-6-8
-h>-14
h<14
