ANSWER ⇒ the total number of straws in the bundle is 288
I hope this helps you :)
Answer:
1 button.
Step-by-step explanation:
Total buttons = 40
Total red buttons = 6
Total Buttons removed =25
Buttons left = 40–25 = 15
Let the red buttons left = x
1.)Then, the probability of red buttons after removing 25 buttons = x/15 outcome / Total outcome)
2.)Probability of red buttons in the bag after removing 25 buttons is 1/3 (As given in the question)
Comparing Statement 1.) & 2.) , We get
x/15 = 1/3
x = 5
So the red buttons left = 5
Total red buttons= 6
Red buttons removed = 6–5= 1
Hence, only 1 button was red in the 25 removed buttons
I'm not sure if you have done vectors as of yet, but you would first add the x components and y components separately.
x-components: 4 blocks + 5 block = 9 blocks
y-component: 2 blocks + 1 block = 3 blocks
Magnitude of this: √(x₂-x₁)²+(y₂-y₁)²
= √(9)²+(3)²
=√81+9
=9.5 blocks approx
Angle of of the resultant vector;
tanθ=y/x
tanθ=3/9
θ=tan⁻¹(3/9)
θ=18.43 degrees
Hope I helped :)
ANSWER

EXPLANATION
The given functions are

and

The function,

This implies that,

The domain of this rational function refers to all values of x for which

is defined.
This function is defined if the denominator


In interval form, we write this as,

The correct answer is C.