Answer:
36 objects
Step-by-step explanation:
You want the value of x when t=9, so you're solving ...
9 = 0.007x^2 +0.003x
9 = 0.007(x^2 + 3/7x)
From here, we observe that an approximation is probably sufficient.
9/0.007 = x(x +3/7) . . . . . the expression on the right is nearly x^2
x ≈ 3/√.007 ≈ 35.9 ≈ 36
We can check:
.007(36)(36 3/7) = 9.18
.007(35)(35 3/7) = 8.68
To keep the computer busy for 9 seconds, it needs to sort 36 objects.
Hello there! I can help you! So, we are looking for the x and y-intercepts. Let's start off with x. The x-intercept is where the line intersects the x-axis, when y is 0. We will replace y as 0. So the equation becomes 0 = -½x - 3. What we do first is add 3 to each side. -3 + 3 cancels out. 0 + 3 is 3. That leaves 3 = -1/2x. Now, multiply each side by 2 to isolate the x. -1/2 * -2/1 cancels out. 3 * -2 is -6. There. x = -6
Now, we will plug in x as 0 to find the y-intercept. The equation becomes y = -½(0) - 3. We know that anything time 0 is 0. We will combine like terms by subtract 3 from 0 to get -3. There. y = -3. Here are your answers for each.
x-intercept: (-6, 0)
y-intercept: (0, -3)
It would be d because the integer has to fit
Answer:
<u>30°</u>
Step-by-step explanation:
This right triangle has :
- right angle (90°)
- One angle of 60°
=========================================================
Solving :
We know the angle sum of a triangle is 180°.
⇒ x + 90° + 60° = 180°
⇒ x + 150° = 180°
⇒ x = <u>30°</u>
