Answer:
-10, 40, -240, 1,920 and -19, 200
Step-by-step explanation:
Given the recurrence relation of the sequence defined as aₙ₊₁ = -2naₙ for n = 1, 2, 3... where a₁ = 5, to get the first five terms of the sequence, we will find the values for when n = 1 to n =5.
when n= 1;
aₙ₊₁ = -2naₙ
a₁₊₁ = -2(1)a₁
a₂ = -2(1)(5)
a₂ = -10
when n = 2;
a₂₊₁ = -2(2)a₂
a₃ = -2(2)(-10)
a₃ = 40
when n = 3;
a₃₊₁ = -2(3)a₃
a₄ = -2(3)(40)
a₄ = -240
when n= 4;
a₄₊₁ = -2(4)a₄
a₅ = -2(4)(-240)
a₅ = 1,920
when n = 5;
a₅₊₁ = -2(5)a₅
a₆ = -2(5)(1920)
a₆ = -19,200
Hence, the first five terms of the sequence is -10, 40, -240, 1,920 and -19, 200
Answer:
For this case we want to test if the the average monthly income of all students at college is at least $2000. Since the alternative hypothesis can't have an equal sign thne the correct system of hypothesis for this case are:
Null hypothesis (H0):
Alternative hypothesis (H1):
And in order to test this hypothesis we can use a one sample t or z test in order to verify if the true mean is at least 200 or no
Step-by-step explanation:
For this case we want to test if the the average monthly income of all students at college is at least $2000. Since the alternative hypothesis can't have an equal sign thne the correct system of hypothesis for this case are:
Null hypothesis (H0):
Alternative hypothesis (H1):
And in order to test this hypothesis we can use a one sample t or z test in order to verify if the true mean is at least 2000 or no
Answer : 82.27cm²
Method :
First work out the area of the semi circle.
To do this we find the area a circle and half it.
The radius of the semi circle is 4.
To find the area of a circle is it radius² x π
Therefore the area of the semi circle is 4 ² x π
Then divide this by 2.
Then you should get 16 π which equals 50.26548246 cm ².
Then find the area of the triangle.
The area of a triangle is base x height divided by 2.
Therefore you should get 9 x 8 divided by 2 which you should get to 36 cm ².
Then add the two together to get
86. 26548246.
Then round to the newest hundredth to get to the final answer of 86.27cm².
<h3>
Answer:</h3>
<u>By pythagorean property</u>,
- x² = 17² - 15²
- x² = 289 - 225
- x² = 64
- x = √64 = 8units.
See picture for answer and explanation.