Answer:
Step-by-step explanation:
The system of equations given are:
5x - y + z = -6 ------------- i
2x + 7y + 3z = 8 ---------- ii
x + 2z = 6 ----------------- iii
Let us deal with equation i and ii first since they have 3 variables x, y and z;
5x - y + z = -6 x 7
2x + 7y + 3z = 8 x 1
35x - 7y + 7z = -42 ---- iv
2x + 7y + 3z = 8 ---- v
Add equation iv and v;
37x + 10z = -34 ------vi
So, let us solve equation vi and iii:
x + 2z = 6 - ---------- iii x 10
37x + 10z = -34 --- iv x 2
10x + 20z = 60 vi
74x + 20z = -68 vii
Subtract vi - vii;
-64x = 128
x = -2
So; put x = -2 into iii;
x + 2z = 6
-2 + 2z = 6
2z = 6 + 2 = 8
z = 4
Put x = -2 and z = 4 into equation i;
5(-2) - y + 4 = - 6
-10 -y +4 = -6
-6 - y = -6
-y = 0
y = 0
Answer: All data will be sent in 89.39 hours
Step-by-step explanation:
Data transfer rate: 100 Mbps=100 
×
×
=0.3433 
The pigeon can fly 1000 km/day and it needs to fly 400 km (round trip).
Pigeon rate: 
=41.67 
Time of round trip: 400 km÷=9.6 h
So the pigeon can send 1 Tb every 9.6 hours.
If we sum the rates we can get the time for sending all the data:
40 Tb= (0.3433 Tb/h + 1 Tb/9.6h)×t
T= 89.39 hours
22000=15000(1+.089/4)^4t
22/15=(1.02225)^4t
log(22/15)=4tlog1.02225
(log(22/15)/4log1.02225)=t
(.16633/.038228)=t
t=4.35 years or 4 years and approximately 4 months
Answer:
22cm
See explanation below
Step by step explanation:
The question is incomplete without the diagram of the shape or its dimensions.
From the question, we are to determine the perimeter of the circle.
Let's consider the following question by determining the perimeter of a circle. If diameter is 7cm. Use pi as 3.14.
Perimeter of circle = circumference of circle
circumference of circle = 2πr
Radius = diameter/2 = (7/2)cm
circumference of circle = 2πr
= 2×π×(7/2) = (14/2)×3.14
= 7×3.14
=21.98cm
circumference of circle = 22cm (nearest tenth)
Perimeter of circle = 22cm
Answer:
wouldn't it be 3,12.....................
