Answer:
40x + 1500>3500 is the correct answer.
Step-by-step explanation:
Answer:
The Probability is 63.7%
Step-by-step explanation:
We need to calculate the area of the circle and the area of the square
From the question, we can see that the square is of side 4 √2 cm
The area of the square is simply the square of its side length
We have this as 4√2 * 4√2 = 16 * 2 = 32 cm^2
The area of the circle can be calculated using the formula for the area of a circle, with the radius being 4 cm
So, we have the area of the circle as;
Pi * r^2
= 22/7 * 4 * 4 = 50.3 cm^2
so, to find the probability, we need to divide the area of the circle by the area of the square
we have this as;
32/50.3 = 0.6366
In percentage, we simply multiply by 100% to give
0.6366 * 100% = 63.66%
To the nearest tenth, this is 63.7%
What's up? the answer is 1/2
6 sides in which 3 are odd. 1,3,5
3/6 or 1/2 chance of rolling odd
We are given the following:
- parabola passes to both (1,0) and (0,1)
<span> - slope at x = 1 is 4 from the equation of the tangent line </span>
<span>First, we figure out the value of c or the y intercept, we use the second point (0, 1) and substitute to the equation of the parabola. W</span><span>hen x = 0, y = 1. So, c should be equal to 1. The</span><span> parabola is y = ax^2 + bx + 1 </span>
<span>Now, we can substitute the point (1,0) into the equation,
</span>0 = a(1)^2 + b(1) + 1
<span>0 = a + b + 1
a + b = -1 </span>
<span>The slope at x = 1 is equal to 4 which is equal to the first derivative of the equation.</span>
<span>We take the derivative of the equation ,
y = ax^2 + bx + 1</span>
<span>y' = 2ax + b
</span>
<span>x = 1, y' = 2
</span>4 = 2a(1) + b
<span>4 = 2a + b </span>
So, we have two equations and two unknowns,<span> </span>
<span>2a + b = 4 </span>
<span>a + b = -1
</span><span>
Solving simultaneously,
a = 5 </span>
<span>b = -6</span>
<span>Therefore, the eqution of the parabola is y = 5x^2 - 6x + 1 .</span>
A) True. The domain of both is: x ≥ 0
B) True. 1/2 is on the outside so it is vertical. 1/2 is between 0 and 1 so it shrinks.
C) False. the coefficient is not 2 (it is 1/2)
D) False. 1/2 is not on the inside with "x" so it is not horizontal.
Answer: A, B
