It’s false because if you take a negative number away from another negative number it would give you another negative number not a positive number!
f(3) is equal to -101.
<u>Step-by-step explanation</u>:
- The sequence is followed by f(0)=4
- The given expression is f(n+1)= -3f(n)+1
Put n=0,
f(0+1)= -3f(0)+1
f(1)= -3(4)+1
f(1)= -12+1 = -11
Put n=1,
f(1+1)= -3f(1)+1
f(2)= -3(-11)+1
f(2)= 33+1 = 34
Put n=2,
f(2+1)= -3f(2)+1
f(3)= -3(34)+1
f(3)= -102+1
f(3)= -101
The ratio of the length of each side of the triangle to that of the hexagon is
<h3>What is equilateral triangle?</h3>
The triangle which has all the three sides equal in dimension is called the equilateral triangle.
According to the question,
Area of triangle = Area of rhombus = Area of hexagon
1/2 base x height = 1/2 diagonal1 xdiagonal2 = (3√3 / 2) side²
The triangle has equal base and height = a.
The hexagon has each side measuring b.
1/2 a² = (3√3 / 2) b²
Ratio of sides of triangle and hexagon is
a²/b² = 3√3
a/b = √ 5.19615
a/b = 2.2795
Thus, the ratio of each side of the triangle to that of the hexagon is 2.2795.
Learn more about equilateral triangle.
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Answer:
The engine size would be 3.0 litre
Step-by-step explanation:
The given parameters are;
Volume of engine = 2.0 litre
Number of cylinders = 4
Capacity of each cylinder = 500 cc
Therefore, when 2 more 500 cc cylinders are added, the size of the engine which is the total volume of combustion gases that can be handled by the cylinders of the engine becomes;
Engine size = Total volume of engine cylinders
New engine size = (4 + 2)×500 cc = 3000 cc = 3.0 litre.
Answer:
0.0475
Step-by-step explanation:
First find the z-score.
z = (x − μ) / σ
z = (125 − 100) / 15
z = 1.67
Use a calculator or chart to find the probability. Using a chart:
P(Z > 1.67) = 1 − P(Z < 1.67)
P(Z > 1.67) = 1 − 0.9525
P(Z > 1.67) = 0.0475
