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3 years ago

Please answer the image below

Mathematics

2 answers:

Trava [24]3 years ago

8 0

The answer would be 3 cups of water

solniwko [45]3 years ago

6 0

Answer:

3 cups of water

Step-by-step explanation:

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A cylindrical basin is 2 feet tall and has a diameter of 5 feet, as shown. If the basin is completely filled with water, how muc

jarptica [38.1K]

Answer:

$39.3 ft^3$

Step-by-step explanation:

The cylindrical basin has a height of 2 ft and a diameter of 5 ft.

To find the amount of water that will completely fill up the basin, we simply need to find the volume of the basin.

The volume of a cylinder is given as:

$V = \pi r^2h$

where r = radius of the basin (half the diameter) = 2.5 ft

h = height of the basin

Hence, the volume is:

$V = \pi * 2.5^2 * 2$

$V = 39.27 ft^3$ ≅ $39.3 ft^3$

The cylindrical basin can hold up to $39.3 ft^3$ of water.

5 0

3 years ago

Read 2 more answers

Use variation of parameters to find a general solution to the differential equation given that the functions y1 and y2 are linea

Aleks [24]

Recall that variation of parameters is used to solve second-order ODEs of the form

y''(t) + p(t) y'(t) + q(t) y(t) = f(t)

so the first thing you need to do is divide both sides of your equation by t :

y'' + (2t - 1)/t y' - 2/t y = 7t

You're looking for a solution of the form

$y=y_1u_1+y_2u_2$

where

$u_1(t)=\displaystyle-\int\frac{y_2(t)f(t)}{W(y_1,y_2)}\,\mathrm dt$

$u_2(t)=\displaystyle\int\frac{y_1(t)f(t)}{W(y_1,y_2)}\,\mathrm dt$

and W denotes the Wronskian determinant.

Compute the Wronskian:

$W(y_1,y_2) = W\left(2t-1,e^{-2t}\right) = \begin{vmatrix}2t-1&e^{-2t}\\2&-2e^{-2t}\end{vmatrix} = -4te^{-2t}$

Then

$u_1=\displaystyle-\int\frac{7te^{-2t}}{-4te^{-2t}}\,\mathrm dt=\frac74\int\mathrm dt = \frac74t$

$u_2=\displaystyle\int\frac{7t(2t-1)}{-4te^{-2t}}\,\mathrm dt=-\frac74\int(2t-1)e^{2t}\,\mathrm dt=-\frac74(t-1)e^{2t}$

The general solution to the ODE is

$y = C_1(2t-1) + C_2e^{-2t} + \dfrac74t(2t-1) - \dfrac74(t-1)e^{2t}e^{-2t}$

which simplifies somewhat to

$\boxed{y = C_1(2t-1) + C_2e^{-2t} + \dfrac74(2t^2-2t+1)}$

4 0

3 years ago

A=5

IRINA_888 [86]

1. 19
2. 14
3. 9
4. 10 rounded didn’t know if you wanted decimals
5. 4

6 0

2 years ago

Hi! i’ll give brainliest please help

Ksenya-84 [330]

Answer:

third option mechanical weathering

Step-by-step explanation:

in mechanical weathering it breaks the rock into smaller pieces . these smaller pieces are just like the bigger rock , just smaller .

8 0

3 years ago

Write an equation for a parabola with x-intercepts (-4,0) and (5,0) which passes through the point (3. – 28).

Vanyuwa [196]

Answer:

y=a(x-p)(x-q)

y=a(x+2+√2)(x+2-√2)

passing through point (-1,1)

substitute

1=a(-1+2+√2)(-1+2-√2)

1=a(1+√2)(1-√2)

1=a(1-2)

1=a(-1)

a=1/(-1)

a=-1

y=-(x+[2+√2])(x+[2-√2])

y=-(x2+4x+2)

Thanks rate 5 stars

5 0

3 years ago