Answer:
9. A. -1/4
Step-by-step explanation:
Plug the points into the equation y2-y1/x2-x1. In this case, I chose the points (0,-2) and (4,-3). This would make the equation -3--2/4-0. This would be equal to -3+2/4 or -1/4. Therefore, the slope is -1/4.
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Answer:

Step-by-step explanation:
Given
The given equation is a differential equation


By separating variable
⇒

Now by taking integration both side

⇒
Where C is the constant




from above equation we can say that
When t will increases in positive direction then
will decreases it means that
will increases, so y will decreases. Similarly in the case of negative t.
Answer:
3775 in²
Step-by-step explanation:
The surface area of the ramp :
Area of rectangle = 20 * 23 = 460 in²
Area of rectangle = 20 * 23 = 460 in²
Area of rectangle = 25 * 23 = 575 in²
Bottom rectangle = 60 * 23 = 1380 in²
For the trapezium: (front and rear)
1/2 (base 1 + base 2) * height
Base total = 20+ 20+ 20= 60
1/2(60)*15 = 450 in²
Total surface Area :
(460 + 460 + 575 + 1380 + 450 + 450) in² = 3775 in²
<h2>
Hello!</h2>
The answer is:
The third option:
2.7 times as much.
<h2>
Why?</h2>
To calculate how many more juice will the new can hold, we need to calculate the old can volume to the new can volume.
So, calculating we have:
Old can:
Since the cans have a right cylinder shape, we can calculate their volume using the following formula:

Where,

We are given the old can dimensions:

So, calculating the volume, we have:

We have that the volume of the old can is:

New can:
We are given the new can dimensions, the diameter is increased but the height is the same, so:

Calculating we have:

Now, dividing the volume of the new can by the old can volume to know how many times more juice will the new can hold, we have:

Hence, we have that the new can hold 2.7 more juice than the old can, so, the answer is the third option:
2.7 times as much.
Have a nice day!
Answer:
D.) $115
Step-by-step explanation:
9.95 x 4 = 39.8
12.95 x 2 = 25.9
15.95 x 2 = 31.9
39.8 + 25.9 + 31.9 = 97.6
97.6 x 0.18 = 17.568
97.6 + 17.568 = 115.168
115.168 ≈ 115