Answer:
See proof below
Step-by-step explanation:
We have to verify that if we substitute 
in the equation 
the equality is true.
Let's substitute first in the right hand side:
Now we use the distributive laws. Also, note that 
(this also works when the power is n-2).
then the sequence solves the recurrence relation.
Answer:
-7x - 6
Step-by-step explanation:
1
Distribute
(−2+5)−1(6+4)+(−7)
(−2+5)−6−4+(−7)
2
Eliminate redundant parentheses
(−2+5)−6−4+(−7)
−2+5−6−4+−7
3
Add the numbers
−2+5−6−4+−7
−2−6−6+
4
Combine like terms
−2−6−6+
Answer:
−7−6
Answer:
78.81%
Step-by-step explanation:
We are given;
Population mean; μ = 149
Sample mean; x¯ = 147.8
Sample size; n = 88
standard deviation; σ = 14
Z-score is;
z = (x¯ - μ)/(σ/√n)
Plugging in the relevant values;
z = (147.8 - 149)/(14/√88)
z = -0.804
From z-distribution table attached, we have; p = 0.21186
P(X > 147.8) = 1 - 0.21186 = 0.78814
In percentage gives; p = 78.81%
Answer: 60 in
Step-by-step explanation:
Hi, to answer this question, first we have to calculate the diameter of one flotation device:
Circumference of a circle C = (3.14) (diameter)
Replacing with the values given:
62.8 =3.14 d
Solving for d (diameter)
62.8 /3.14 =d
20in = d
Now, since the three flotation devices are identical, we simply have to multiply the diameter of one device by 3 , to obtain length of the flotation devices lined up.
20x3 =60 in
Feel free to ask for more if needed or if you did not understand something.
The perimeter of the triangle is 13.56 units.
The perimeter of a shape on a coordinate plane is found by finding the distance between all points, and then adding them together. It's easier to write it out than to type so I'll attach a photo of my work.
