Answer:
v = l * w * h
v = 3/4 * 1/2 * 1/4 = <u>3/32 or 0.09375</u>
Answer:
You can see the graph below.
To answer the question, you need to draw a vertical line from x = 12h up, until the line meets with the line.
Once the line meets with the line, draw a horizontal line from that point, and the value where this line intersects with the y-axis will be the distance from home after 12 hours.
The graph is kinda hard to read because the line is really steep, the green line is the equation y = 40*x
the red line is a line at x = 12
The black dashed line is the horizontal line that intersects with the y-axis.
In the graph, you can see that the dashed line intersects the y-axis at around y = 475.
Then a good estimate is that the distance after 12 hours is 475 (miles).
Now, we can compare this with the direct calculation, just replace x by 12 in the given line:
y = 40*12 = 480.
So our estimation is really accurate.
Answer:
a. -1.7
b. -1.2
c. -0.5
d. 0.6
e. 1.1
Step-by-step explanation:
Answer:
7 miles
Step-by-step explanation:
Distance = Rate times Time
Distance #1: (15 mph)(12/60 hr) = 3 miles
Distance #2: (12 mph)(20/60 hr) = 4 miles
Total distance ridden = 7 miles
Answer:
1. |y| sqrt(10)
2. |x| sqrt(x)
3. a^2 sqrt(a)
4. 4 |y|^3 sqrt(3)
5. 1/4 *|x| sqrt(3x)
Step-by-step explanation:
1. sqrt(10y^2)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(y^2) sqrt(10)
|y| sqrt(10)
We take the absolute value of y because -y*-y = y^2 and the principle square root is y
2. sqrt(x^3)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(x^2) sqrt(x)
|x| sqrt(x)
3. sqrt(a^5)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(a^4) sqrt(a)
a^2 sqrt(a)
4. sqrt(16 y^7)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(16) sqrt(y^6)sqrt(y)
4 |y|^3 sqrt(3)
5. sqrt(3/16x^3)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(1/16) sqrt(x^2)sqrt(3x)
1/4 *|x| sqrt(3x)