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2 years ago

12

After opening the tap, the vessel is filled with water for 17 minutes. Which part of the container will be filled with water in

2 minutes?

1 answer:

inn [45]2 years ago

5 0

Answer:

Bottom

Step-by-step explanation:

Because the water will direct fill down

too easy

You might be interested in

Write the integral in one variable to find the volume of the solid obtained by rotating the first-quadrant region bounded by y =

Dovator [93]

Answer:

V = π ∫₀² (y² − 8y + 6√(2y)) dy

or

V = π ∫₀² (6x − 5x² + x³) dx

Step-by-step explanation:

y₁ = 0.5x²

y₂ = x

First, find the intersections of the curves.

0.5x² = x

x² = 2x

x² − 2x = 0

x (x − 2) = 0

x = 0 or x = 2

So the points of intersection are (0, 0) and (2, 2).

When we revolve this region about the line x = 3, we get a hollow shape that looks like an upside-down funnel, or a volcano.

One option is to use washer method to find the volume, by cutting a thin horizontal slice of thickness dy, inner radius 3−x₁ = 3−√(2y), and outer radius of 3−x₂ = 3−y.

V = ∫₀² π [(3−y)² − (3−√(2y))²] dy

V = ∫₀² π (9 − 6y + y² − 9 + 6√(2y) − 2y) dy

V = π ∫₀² (y² − 8y + 6√(2y)) dy

Another option is to use shell method to find the volume, by cutting a thin vertical slice of thickness dx, radius 3−x, and height y₂−y₁ = x−0.5x².

V = ∫₀² 2π (3 − x) (x − 0.5x²) dx

V = ∫₀² 2π (3x − 1.5x² − x² + 0.5x³) dx

V = ∫₀² 2π (3x − 2.5x² + 0.5x³) dx

V = π ∫₀² (6x − 5x² + x³) dx

The second option is arguably easier to evaluate, but either one will get you the same answer (V = 8π/3).

7 0

3 years ago

A line passes through (4, 5) and (8, 9). Which equation best represents the line?

xxTIMURxx [149]

Answer:

that is the equation of the line, its slope is 1 and the y-intercept is 1 y = x + 1

Step-by-step explanation:

we can calculate the slope of this line passing through (4,5) and (8,9) like this:

m = (y2 - y1)/(x2 - x1)

m = (9 - 5)/(8 - 4)

m = 4/4

m = 1

so the slope is 1, and now we can use the equation of one point and the slope to write the line's equation:

y - y1 = m(x - x1)

y - 5 = 1*(x - 4)

y - 5 = x - 4

y = x + 1

that is the equation of the line, its slope is 1 and the y-intercept is 1

7 0

3 years ago

What is the slope Of a line that passes through the points (9,8) and (2,3)?

tresset_1 [31]

$(\stackrel{x_1}{9}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{8}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{9}}}\implies \cfrac{-5}{-7}\implies \cfrac{5}{7}$

6 0

2 years ago

Read 2 more answers

A rectangular swimming pool measures 14 feet by 30 feet. The pool is

Zolol [24]

Answer:

The total cost of resurface the path is $\$600$

Step-by-step explanation:

step 1

Find the area of the path

The area of the path is equal to the area of the path plus the swimming pool minus the area of the swimming pool

$A=(14+3+3)(30+3+3)-(14)(30)$

$A=(20)(36)-(14)(30)$

$A=300\ ft^{2}$

step 2

Find the cost of resurface the path

Multiply the area of the path by $2 per square foot

$300*2=\$600$

4 0

3 years ago

5x+11=-3x+35 i need help solve for x

vaieri [72.5K]

Answer:

x = 3

Step-by-step explanation:

Let's solve your equation step-by-step.

5x + 11 = -3x +35

Add 3x to both sides.

5x + 11 + 3x = -3x + 35 + 3x

8x + 11 = 35

Subtract 11 from both sides.

8x + 11 - 11 = 35 - 11

8x = 24

Divide both sides by 8.

$\frac{8x}{8} = \frac{24}{8}$

x = 3

So therefore, that is how you found your answer: x = 3

8 0

2 years ago