Answer:
Samantha payed 12.71$ for her purchase.
Step-by-step explanation:
I may have misunderstood the question, but it looks like you can use a calculator for this!
6.19 + 2.85 + 2.29 + 1.38 =
12.71
H(f(x))=3(x^2+2)
h(f(x))=3x^2+6
g(h(f(x)))=(3x^2+6)^3+2
g(h(f(-1)))=(3(-1)^2+6)^2+2
g(h(f(-1)))=(3+6)^2+2
g(h(f(-1)))=81+2
g(h(f(-1)))=83
160 = (10 + x) + x + 4x
160 = 6x + 10
150 = 6x
150/6 = x
x = 25
second number = x = 25
third number = 4x = 100
first number = x + 10 = 35
Answer:
see explanation
Step-by-step explanation:
to find the first 4 terms substitute n = 1, 2, 3, 4 into the sequence rule
to find the 10th term substitute n = 10 into the rule
(a)
a₁ = 1² + 3 = 1 + 3 = 4
a₂ = 2² + 3 = 4 + 3 = 7
a₃ = 3² + 3 = 9 + 3 = 12
a₄ = 4² + 3 = 16 + 3 = 19
a₁₀ = 10² + 3 = 100 + 3 = 103
(b)
a₁ = 2(1)² = 2(1) = 2
a₂ = 2(2)² = 2(4) = 8
a₃ = 2(3)² = 2(9) = 18
a₄ = 2(4)² = 2(16) = 32
a₁₀ = 2(10)² = 2(100) = 200
Answer:
3
Step-by-step explanation:
The given shape is a right angled triangle.
Here,
Hypotenuse = 2√3
Another side = √3
Let the missing side length be " x ".
By Hypotenuse theorem,
x² + ( √3 )² = ( 2√3 )²
x² + 3 = 12
x² = 12 - 3
x² = 9
x² = 3²
x = 3
Therefore, the side length is 3.