Mr. Ferguson's classroom is 30 ft long, 20 ft wide, and 10 ft tall. There are 3 concrete
columns in the room. Each column is 10 ft tall with a radius of 2 ft. What is the
volume of the classroom without the columns?
Rectangular Prism: V = lwh
Cylinder: V = tirah
Type a number only for your answer - no units.
Example 525.89

Answer:

I think that the answer is C

Step-by-step explanation:

Answer:

10.3m

Step-by-step explanation:

area of a rectangle is width times length, so you have to rearrange the equation

55.929 ÷ 5.43 = 10.3

Answer:

10.3 meters

Step-by-step explanation:

Area = length x width

55.929 = ? x 5.43

Divide 5.43 from 55.929

55.929/5.43 = 10.3 meters

Check = 10.3 x 5.43 = 55.929

Answer:

B

Step-by-step explanation:

Answer:

$100

Step-by-step explanation:

1L has 1000ml, so 1000/20=50x$2.00=$100

I think

Hope this helps

:)

Answer:

[tex]y = -2x -1[/tex]

Step-by-step explanation:

Given

Passes through: (0, -1)

Parallel to: y = -2x + 7

Required

Determine the line equation

If the line is parallel to y = -2x + 7, then it has the same slope as y = -2x + 7.

For an equation of form: [tex]y = mx + b[/tex]

The slope is m

By comparison:

[tex]m = -2[/tex]

So, the slope of the extorted is -2.

The equation is then calculated using:

[tex]y = m(x - x_1)+ y_1[/tex]

[tex]y = -2(x - 0)-1[/tex]

[tex]y = -2(x )-1[/tex]

[tex]y = -2x -1[/tex]

Answer:

X=3 y=-1

Step-by-step explanation:

X+y=2

X-y=4

so that means

y=X-4

substitute it in

X+X-4=2

2x-4=2

2x=2+4

2x=6

x=3

3+y=2

3+-1=2

y=-1

ways to check

3--1=4

double minus equal plus

3+1=4

Answer:

hi

Step-by-step explanation:

Find an answer to your question The volume of the box is 448 ft'. Find its length and width. 4 ft X-6 X The box has a length of ft and a width of ft.

hope this helps

Answer:

An =A1+(n-1)d

Step-by-step explanation:

the nth term of an arithmetic sequence is :

An =A1+(n-1)d   ....a common difference is : d

A1 is the first term

Answer:

im am Santiago i am from Brazil, i live in a favela, i play soccer in the jungle and the beach with the monkeys, i speak brazilian.

Step-by-step explanation:

Answer:

A: 2

Step-by-step explanation:

EDGE 2021

Considering that the magnitude of the complex number x is of 13, a possible value of b is of 2.

A complex number is modeled by:

z = a + bi.

In which:

In this problem, the number is:

x = 3 + bi.

It's magnitude is given by:

[tex]|x| = \sqrt{3^2 + b^2}[/tex]

Then:

[tex]\sqrt{3^2 + b^2} = \sqrt{13}[/tex]

[tex]3^2 + b^2 = 13[/tex]

[tex]b = \pm \sqrt{4}[/tex]

[tex]b = \pm 2[/tex]

A possible value of b is of 2.

More can be learned about complex numbers at https://brainly.com/question/25572463

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Answer:

Answer:48 cubes

You could fit 48 cubes with side lengths of 1/3 cm inside a rectangular prism with dimensions of 1 cm X 2 2/3 cm X 2/3 cm.

I hope it's helpful!

Answer:

An inequality sign is like an equal sign with a line through it

so, like, if you put = and / together

Answer:

<, >, =>, =<

Step-by-step explanation:

Answer:

Step-by-step explanation:

25

the answer is 80 ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

you take 9 x 8 and get 72 then you just add 8 to it and get 80.

Step-by-step explanation:

3

[tex]3 \sqrt{xy { - }^{2} } [/tex]

Answer:

I would have to say A

Step-by-step explanation:

B has 2 of the same variables while A has to different variables and C&D have no variables there for the answer is A

Answer:

Step-by-step explanation:

I thought those lines mean that they are equal meaning that the number is 68.

Answer:

For every 1 liter of lemonade Martha has to add 1.6 liters of pineapple juice.

The ratio of liters of pineapple juice to liters of punch is 8:13

Step-by-step explanation:

13 - 8 = 5

5 divided by 5 is 1

8 divided by 5 is 1.6

Answer:

3

Step-by-step explanation:

To find the mean add them up and divide by # of sets

soit =24 ÷8=3

Answer:

Step-by-step explanation:

6x3 +4x2y + 10xy2 + 3x2y + 2xy2+ 5y3

Solving like terms

6x3 + 7x2y + 12xy2 + 5y3

The simplified form of the expression is 6x³+5y³+12xy²+7x²y

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, (2x+y)(3x²+2xy+5y²)​, we need to simplify it,

(2x+y)(3x²+2xy+5y²)​

= 6x³+4x²y+10xy²+3x²y+2xy²+5y³

= 6x³+5y³+12xy²+7x²y

Hence, the simplified form of the expression is 6x³+5y³+12xy²+7x²y

Learn more about expression, click;

https://brainly.com/question/14083225

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Answer:

The distance is less than 216 inches.

Step-by-step explanation:

Each feet has 12 inches.

The large shelves in the storage area are 17 feet 8 inches apart

So, in inches, this distance is of:

17*12 + 8 = 212

This distance is less than 216 inches.

Answer:

first 1 is 5.7 2 is the 4.6 3 is the 3 is the middle and the 4 is the last

Step-by-step explanation:

jus use the internet XD

Answer:

Step-by-step explanation:

$21.75/(3 crabs) = $7.25/crab

Answer:

$80

Step-by-step explanation:

Answer:

b.5 hours

520-195=325

325/65=5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

........................ .....

Answer:

y=10

Step-by-step explanation:

8+y=18

(-8)

y=10

!!!!!!!!!!!

Answer:

ответ :y=10 я поставил объяснение

Answer:

a. [tex]dA(t)/dt = 50 - \frac{7A(t)}{400} where A(0) = 400[/tex]

b. [tex]A(t) = \frac{20000}{7} + \frac{17200}{7}e^{-7t/400}[/tex]

c. 3.717 kg

Step-by-step explanation:

a) Write the differential equation that represents the problem.

Let A(t) be the amount of dissolved oxygen in the tank at any time, t.

The net flow rate dA(t)/dt = mass flow in - mass flow out

Since 10 g/l of oxygen flows in at a rate of 5 l/min, the mass flow in is 10 g/l × 5 l/min = 50 g/min

Since A(t) is the amount of oxygen present in the tank at time, t, and the volume of the tank is 400 liters. The concentration of oxygen in the tank is thus A(t)/400 g/l.

Also, water is being pumped out at a rate of 7 l/min. So, the mass flow out is thus concentration × flow rate out = A(t)/400 g/l × 7 l/min = 7A(t)/400 g/min

So, dA(t)/dt = mass flow in - mass flow out

dA(t)/dt = 50 - 7A(t)/400 with A(0) = 400 l × 1 g/l = 400 g since the tank initially contains 1 g/l of dissolved oxygen and has a volume of 400 l

So, the differential equation is

dA(t)/dt = 50 - 7A(t)/400  where A(0) = 400 g

[tex]dA(t)/dt = 50 - \frac{7A(t)}{400} where A(0) = 400[/tex]

b) Solve the differential equation

To solve the equation, we use separation of variables, so

dA(t)/dt = 50 - 7A(t)/400  where A(0) = 400 g

dA(t)/(50 - 7A(t)/400) = dt

Integrating both sides, we have

∫dA(t)/(50 - 7A(t)/400) = ∫dt

-7/400 ÷ -7/400∫dA(t)/(50 - 7A(t)/400) = ∫dt

1/ (-7/400)∫-7/400dA(t)/(50 - 7A(t)/400) = ∫dt

(-400/7)㏑(50 - 7A(t)/400) = t + C

㏑(50 - 7A(t)/400) = -7t/400 + (-7/400)C

㏑(50 - 7A(t)/400) = -7t/400 + C'     (C' = (-7/400)C)

taking exponents of both sides, we have

50 - 7A(t)/400 = exp[(-7t/400) + C']

50 - 7A(t)/400 = exp(-7t/400)expC'

[tex]50 - \frac{7A(t)}{400} = e^{-7t/400}e^{C'} \\50 - \frac{7A(t)}{400} = Ae^{-7t/400} A = e^{C'}\\ \frac{7A(t)}{400} = 50 - Ae^{-7t/400} \\A(t) = \frac{400}{7} X 50 - \frac{400}{7} Ae^{-7t/400} \\A(t) = \frac{20000}{7} - \frac{400}{7} Ae^{-7t/400}[/tex]

when t = 0 , A(0) = 400. So,

[tex]A(t) = \frac{20000}{7} - \frac{400}{7} Ae^{-7t/400} \\A(0) = \frac{20000}{7} - \frac{400}{7} Ae^{-7(0)/400}\\A(0) = \frac{20000}{7} - \frac{400}{7} Ae^{0/400}\\A(0) = \frac{20000}{7} - \frac{400}{7} Ae^{0}\\A(0) = \frac{20000}{7} - \frac{400}{7} A\\400 = \frac{20000}{7} - \frac{400}{7} A\\\frac{400}{7} A = 400 - \frac{20000}{7}\\\frac{400}{7} A = \frac{2800}{7} - \frac{20000}{7}\\\frac{400}{7} A = -\frac{17200}{7}\\\\A = -\frac{17200}{7} X \frac{7}{400} \\A = -43[/tex]

So,

[tex]A(t) = \frac{20000}{7} - \frac{400}{7} X -43e^{-7t/400} \\A(t) = \frac{20000}{7} + \frac{17200}{7}e^{-7t/400}[/tex]

c) At 1 p.m., what is the amount of dissolve oxygen in the fish tank.

At 1 p.m, t = 60 min

So, the amount of dissolved oxygen in the fish tank is A(60)

So,

[tex]A(t) = \frac{20000}{7} + \frac{17200}{7}e^{-7t/400}\\A(60) = \frac{20000}{7} + \frac{17200}{7}e^{-7X60/400}\\A(60) = \frac{20000}{7} + \frac{17200}{7}e^{-420/400}\\A(60) = \frac{20000}{7} + \frac{17200}{7}e^{-1.05}\\A(60) = \frac{20000}{7} + \frac{17200}{7} X 0.3499\\A(60) = \frac{20000}{7} + \frac{6018.93}{7} \\A(60) = \frac{26018.93}{7} \\A(60) = 3716.99 g[/tex]

A(60) ≅ 3717 g

A(60) ≅ 3.717 kg

Answer:

39

Step-by-step explanation:

one number = x

another = 3x

x+3x = 12

4x = 12

x = 12/4 = 3

units place = 3x = 9

tens place= x = 3

number = 39