Answer:
a(14)=469762048
Step-by-step explanation:
geometric sequence= a(n)=a*r^(n-1)
we have:
a=7
r=28/7=4
So:
a(14)=7*4^(14-1)
=7*4^(13)
=469762048
hope this helps
Answer:
9:40 am
Step-by-step explanation:
Let time taken from when Smith left compound to when Garcia overtakes Smith's car be represented by y
After y hours, Smith has covered 48*y=48y miles
Similarly, due to a difference of 20 minutes which is 20/60=1/3 hours, Garcia moves a distance of
60(y-1/3)
Equating both distances to be the same
60y-20=48y
12y=20
y=20/12=5/3 hours
Converted to minutes
5/3*60=100 minutes= 1 hr 40 mins
Therefore, adding 100 minutes to to starting time of Smith
8:00+1:40=9:40 am
The time that Garcia overtakes Smith is 9:40am
For this problem, the answer is choice A.
Answer:
The statements that must be true are:
XY and JK form four right angles ⇒ B
XY ⊥ JK ⇒ C
JP = KP ⇒ E
m∠JPX = 90° ⇒ F
Step-by-step explanation:
From the given figure
∵ Line XY is the perpendicular bisector of the line segment JK
→ That means line XY is the line of symmetry of the line segment JK
∴ XY ⊥ JK ⇒ C
∵ XY ∩ JK at point P
∴ P is the midpoint of JK
∵ XY ⊥ JK
∴ ∠JPX, ∠KPX, ∠JPY, and ∠KPY are right angles
∴ XY and JK form four right angles ⇒ B
∵ The measure of the right angle is 90°
∴ m∠JPX = m∠KPX = m∠JPY = m∠KPY = 90°
∴ m∠JPX = 90° ⇒ F
∵ P is the midpoint of JK
∴ JP = KP ⇒ E