Find the volume of the solid under the plane 3x + 5y − z = 0 and above the region bounded by y = x and y = x4.

Rounding 3.83991676655 to nearest hundred =  3.83991677

Rounding 3.83991676655 to nearest -thousandth will result to 3.8399168  

Given, number to be rounded off 3.83991676655 .

Concept of rounding off:

When the digit after decimal is greater than 5 than it will be rounded up.

When the digit after decimal is less than 5 than it will be rounded down.

Number : 3.83991676655

Rounding number to nearest tenth = 3.8

Rounding number to nearest hundred = 3.83991677

Rounding number to nearest thousandth = 3.8399168

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Answer:

3.83992

Step-by-step explanation:

3.8399_676655

676655=1000000

3.83991+1000000=3.83992

Answer:

$2.35 for one video

Step-by-step explanation:

You set up two equations:

$7.50= p + 2v

$12.20= p + 4v

You then set both equal to p

p=-4v+12.20 and p=-2v+7.50

So you can set them equal to each other and solve for v (the cost of one video)

v= $2.35  

Final answer:

The solution to the given equations using the elimination method is x=3 and y=4. Therefore, the answer pair is (3,4).

Explanation:

In order to solve this system of equations using elimination, you want to add or subtract the equations in a way that allows you to eliminate one of the variables. In this case, the y terms in the two equations are additive inverses (-4y and +4y). This means that if you add the equations together, the y variable will be eliminated.

So, let's add the two equations:
9x - 4y + x + 4y = 11 + 19
This simplifies down to 10x = 30, and when you divide both sides by 10, you get x = 3.

Next, substitute x = 3 into the second equation:
3 + 4y = 19
Solve for y by subtracting 3 from both sides and then dividing by 4. You'll find that y = 4. So the solution to the system of equations is (3,4).

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Answer:

6.27 lbs

Step-by-step explanation:

Answer:

y = (-1/19)(x - 8)² + 1521/76

Step-by-step explanation:

A parabola moves in such a way that it's distance from it's focus and directrix are always equal.

Now, we are given that directrix is y = 9.75 and focus is at (8, 0.25). Focus can be rewritten as (8, ¼) and directrix can be rewritten as y = 39/4

If we consider a point with the coordinates (x, y), it means the distance from this point to the focus is;

√((x - 8)² + (y - ¼)²)

Distance from that point to the directrix is; (y - 39/4)

Thus;

√((x - 8)² + (y - ¼)²) = (y - 39/4)

Taking the square of both sides gives;

((x - 8)² + (y - ¼)²) = (y - 39/4)²

(x - 8)² + y² - ½y + 1/16 = y² - (39/2)y + (39/4)²

Simplifying this gives;

(x - 8)² - (39/4)² = (½ - 39/2)y

(x - 8)² - 1521/4 = -19y

(x - 8)² - 1521/4 = -19y

Divide both sides by -19 to get;

y = (-1/19)(x - 8)² + 1521/76

Answer:

123

Step-by-step explanation:

012+121