Answer:
17.5 meters
Step-by-step explanation:
To find how far she walks, multiply 2.5 by 7
2.5(7)
= 17.5
So, in 7 days, she walks 17.5 meters
Answer:
Answer: Option c. 0.1875 is the first term of the sequence.
Step-by-step explanation:
In this question sixth term of a sequence is given as A(6)= 192
Ratio of terms is given as 4
And we have to calculate the first term of the sequence.
As per formula A(n) = A(1)×
A(6) = 
192 = 
A(1) = 
= 192/1024
=0.1875
So the first term of the sequence will be 0.1875
To better give a visual, I drew it out instead.
The attachment is the solution.
Answer:$164.35
Step-by-step explanation:
You just multiply 19 × 8.65
Answer: The value of k for which one root of the quadratic equation kx2 - 14x + 8 = 0 is six times the other is k = 3.
Let's look into the solution step by step.
Explanation:
Given: A quadratic equation, kx2 - 14x + 8 = 0
Let the two zeros of the equation be α and β.
According to the given question, if one of the roots is α the other root will be 6α.
Thus, β = 6α
Hence, the two zeros are α and 6α.
We know that for a given quadratic equation ax2 + bx + c = 0
The sum of the zeros is expressed as,
α + β = - b / a
The product of the zeros is expressed as,
αβ = c / a
For the given quadratic equation kx2 - 14x + 8 = 0,
a = k, b = -14, c = 8
The sum of the zeros is:
α + 6α = 14 / k [Since the two zeros are α and 6α]
⇒ 7α = 14 / k
⇒ α = 2 / k --------------- (1)
The product of the zeros is:
⇒ α × 6α = 8 / k [Since the two zeros are α and 6α]
⇒ 6α 2 = 8 / k
⇒ 6 (2 / k)2 = 8 / k [From (1)]
⇒ 6 × (4 / k) = 8
⇒ k = 24 / 8
⇒ k = 3
