Answer:
4y+5 vegetable seeds.
Step-by-step explanation:
In order to find the total amount of vegetable seeds, you need to add y+3y+5.
You have to combine your like terms.
3y and y are like terms, so you add them to get 4y. 5 and 4y are not like terms, so you just write your expression as 4y+5.
Hope this helps!
Answer:
1)Find the prime factorization of 242
242 = 2 × 11 × 11Step-by-step explanation:
2)Find the prime factorization of 132
132 = 2 × 2 × 3 × 11
3)To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 11
The lost one 4) GCF = 22
Answer:
Smax = 676 ft
the maximum altitude (height) the rocket will attain during its flight is 676 ft
Step-by-step explanation:
Given;
The height function S(t) of the rocket as;
S(t) = -16t2 + 208t
The maximum altitude Smax, will occur at dS/dt = 0
differentiating S(t);
dS/dt = -32t + 208 = 0
-32t +208 = 0
32t = 208
t = 208/32
t = 6.5 seconds.
The maximum altitude Smax is;
Substituting t = 6.5 s
Smax = -16(6.5)^2 + 208(6.5)
Smax = 676 ft
the maximum altitude (height) the rocket will attain during its flight is 676 ft
Answer:
or 
Given expression:
Simplify it in steps below:
<u>Used properties:</u>
Answer:
Tina's average speed for the whole journey = 56 kmph
Step-by-step explanation:
Time taken by Sean to travel from Town A to Town B = 4 hours.
Average speed of Sean = 70 km/h
We have equation of motion, s = ut + 0.5 at²
Time, t = 4 hours.
Initial speed, u = 70 km/hr
Acceleration, a = 0 m/s²
Substituting
s = ut + 0.5 at²
s = 70 x 4 + 0.5 x 0 x 4²
s = 280 km
Distance from Town A to Town B = 280 km
Tina took 1 hour more than Sean.
Time taken by Tina to travel from Town A to Town B = 4 +1 = 5 hours
We have equation of motion, s = ut + 0.5 at²
Time, t = 5 hours.
Displacement, s = 280 km
Acceleration, a = 0 m/s²
Substituting
s = ut + 0.5 at²
280 = u x 5 + 0.5 x 0 x 5²
u = 56 km/hr
Tina's average speed for the whole journey = 56 kmph
