What is the volume of the following rectangular prism? Plz help

Answer:

8.2

Step-by-step explanation:

Answer:

x = -3

hope it's helpful ❤❤❤

THANK YOU.

Hey there!

The answer to your question is "n = -3"

First, we can start by writing the equation as it says. "3 times a number" represents a number times 3, or "3n"

3n

Next, "5 more" represents addition, so "+ 5"

3n + 5

Finally, "is -4" means it is equal to -4, so "= -4"

3n + 5 = -4

Now that we have our equation, we can solve:

3n + 5 = -4

First, we subtract "5" from both sides of the equal sign:

3n = -9

Lastly, we divide both sides by "3".

n = -3

Have a terrificly amazing day!

Answer:p=$20

Step-by-step explanation:

145-65=80

80/4=20

so each pant costs $20

p=$20

Answer:

8

Step-by-step explanation:

it just is

Answer:

8

Step-by-step explanation:

Convert to a decimal

32%

move two decimal points to the left

0.32

multiply

0.32 times 25 = 8

Answer:

Point of contact  ( 3,6)

Step-by-step explanation:

Step(i):-

Given that the points are (1,2) and (6,12)

The ratio 2:3 divides the line segment

The line segment divides m:n externally

[tex](\frac{mx_{2}-nx_{1} }{m-n} ,\frac{mx_{2}-nx_{1} }{m-n} )[/tex]

Step(ii):-

(x₁, y₁) = (1,2) and (x₂, y₂)= (6,12) and m:n =2:3

[tex](\frac{2(6)+3(1) }{2+3} ,\frac{2(12)+3(2) }{2+3} )[/tex]

([tex](\frac{12+3}{5} ,\frac{24+6}{5} )[/tex]

([tex]\frac{15}{5} ,\frac{30}{5})[/tex]

(3 , 6)

Final answer:-

Point of contact  ( 3,6)

Answer:

Volume of the Tetrahedron T =[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

As given, The tetrahedron T is bounded by the planes x + 2y + z = 2, x = 2y, x = 0, and z = 0

We have,

z = 0 and x + 2y + z = 2

⇒ z = 2 - x - 2y

∴ The limits of z are :

0 ≤ z ≤ 2 - x - 2y

Now, in the xy- plane , the equations becomes

x + 2y = 2 , x = 2y , x = 0 ( As in xy- plane , z = 0)

Firstly , we find the intersection between the lines x = 2y and x + 2y = 2

∴ we get

2y + 2y = 2

⇒4y = 2

⇒y = [tex]\frac{2}{4} = \frac{1}{2}[/tex] = 0.5

⇒x = 2([tex]\frac{1}{2}[/tex]) = 1

So, the intersection point is ( 1, 0.5)

As we have x = 0 and x = 1

∴ The limits of x are :

0 ≤ x ≤ 1

Also,

x = 2y

⇒y = [tex]\frac{x}{2}[/tex]

and x + 2y = 2

⇒2y = 2 - x

⇒y = 1 - [tex]\frac{x}{2}[/tex]

∴ The limits of y are :

[tex]\frac{x}{2}[/tex] ≤ y ≤ 1 - [tex]\frac{x}{2}[/tex]

So, we get

Volume = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}\int\limits^{2-x-2y}_{z=0} {dz} \, dy \, dx[/tex]

             = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{[z]}\limits^{2-x-2y}_0 {} \, \, dy \, dx[/tex]

             = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{(2-x-2y)} \, \, dy \, dx[/tex]

             = [tex]\int\limits^1_0 {[2y-xy-y^{2} ]}\limits^{1-\frac{x}{2}} _{\frac{x}{2} } {} \, \, dx[/tex]

             = [tex]\int\limits^1_0 {[2(1-\frac{x}{2} - \frac{x}{2}) -x(1-\frac{x}{2} - \frac{x}{2}) -(1-\frac{x}{2}) ^{2} + (\frac{x}{2} )^{2} ] {} \, \, dx[/tex]

             = [tex]\int\limits^1_0 {(1 - 2x + x^{2} )} \, \, dx[/tex]

             = [tex]{(x - x^{2} + \frac{x^{3}}{3} )}\limits^1_0[/tex]

             = 1 - 1² + [tex]\frac{1^{3} }{3}[/tex] - 0 + 0 - 0

             = 1 - 1 + [tex]\frac{1 }{3}[/tex] =  [tex]\frac{1}{3}[/tex]

So, we get

Volume =[tex]\frac{1}{3}[/tex]

The volume of Tetrahedron will be [tex]\frac{1}{3}[/tex] units.

Given,

The tetrahedron T is bounded by the planes,

[tex]x+2y+z=2......(1)\\ x=2y....(2)\\ x=0......(3) \\ z=0.....(4)[/tex]

From equation (1),

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

So the limits of z will be from 0 to [tex]2-x-2y[/tex].

Now, from equation (2),

[tex]y=\frac{x}{2}[/tex]

and from equation (1), putting z=0 we get,

[tex]x+2y=2\\y=1-\frac{x}{2}[/tex]

So the limits of y will be from [tex]\frac{x}{2}[/tex] to [tex]1-\frac{x}{2}[/tex].

On solving equation (1), for x we get

[tex]x+x+0=2[/tex] [tex](x=2y \ and \ z=0 )[/tex]

[tex]x=1[/tex].

So the limits of x will be from 0 to 1.

The volume of tetrahedron will be,

[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy \int\limits^{2-x-2y}_0 \, dz[/tex]

[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy [2-x-2y-0][/tex]

[tex]V=\int\limits^1_0 \, dx (1-2x+x^2)\\[/tex]

[tex]V=1-1+\frac{1}{3}[/tex]

[tex]V=\dfrac{1}{3}[/tex]

Hence the volume of tetrahedron is [tex]\frac{1}{3}[/tex] units.

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Answer:

CVS

Step-by-step explanation:

i am pretty sure

Answer:

" The x-coordinato is negative, and the y coordinato is negativo. "

Step-by-step explanation:

Both are in the bottom left quadrant: -x -y

You started here:

And reflected across the ☝ line aka Y

Which means it would now be on the left

Answer: i think 8

Step-by-step explanation:

Answer:

the better value is £9

Step-by-step explanation:

unitary method..

find out how much 1kg will cost in the supermarket and multiply by 12.5kg

For the supermarket

1.83/2.5= 0.732 for one kg.

for 12.5 kg

0.732× 12.5= £9.15

hence the farm shop price is lower than the supermarket price

Answer:

We could use 'd' as a variable to represent distance. And since distance is the most important thing in this question, the most important variable would be 'd'.

Is this what you were asking?

I hope I could help. (๑•～•)

Answer:

50.265482457436 inches

Step-by-step explanation:

radius = 8 inches

C = 2×pi×r

= 2×pi×8

C = 50.265482457436 inches

Answer:

i) (-1,-5)

ii) (-2, -6)

iii) (2, 0)

Step-by-step explanation:

its been a long since i did these not sure but the best i got

hope it helped

Answer:

[tex]t < - 2 \\ t = - 3[/tex]

Step-by-step explanation:

[tex]4t - 42 - 18t > - 14[/tex]

[tex]4t - 18t > - 14 + 42[/tex]

[tex] - 14t > 28[/tex]

[tex] \frac{ - 14t}{ - 14} < \frac{28}{ - 14} [/tex]

[tex]t < - 2[/tex]

[tex]if \: \: \: \: \: t = - 3[/tex]

[tex]4t - 42 - 18t { > }^{?} - 14[/tex]

[tex]4 \times - 3 - 42 - 18 \times - 3 { > }^{?} - 14[/tex]

[tex] - 12.6 > - 14[/tex]

Answer: = (-2,3)

Step-by-step explanation:

Here, fixed point = origin = (0,0)

Transformation rule for rotation of  [tex]90^{\circ}[/tex]counterclockwise about the origin:

[tex](x,y)\to (-y,x)[/tex]

Then, the image of the point (3,2) =  (-2,3)

Hence, the image of the point (3,2) after a rotation of  [tex]90^{\circ}[/tex]counterclockwise about the origin = (-2,3)

Answer: The answer is -2,3 because 90 degrees of the orgin :) enjoy

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Khan Academy

Answer:

12%

Step-by-step explanation:

2.79 - 2.49 = $0.30

0.30 / 2.49 = 0.12 = 12% (decimal changes to percent)

You can check your work by doing original cost times the decimal of the percent increase. $2.49 * 0.12 = $0.30. Add this to original -> 0.30 + 2.49 = $2.79.  

Answer:

can i see the picture?

Answer:

1/16

Step-by-step explanation:

You should use 1/16 teaspoons of vanilla for the 20 cups of flour that u used

Answer:

0.55

Step-by-step explanation:

o.45 + X = 0.55

the probability of not winning is 0.55

Answer:

Yes

Step-by-step explanation:

3 and 5 don't got a GCF

Answer:

109

Step-by-step explanation:

180-71

[tex]\huge\tt\pink{\boxed{\tt{\blue{★\:Answer}}}}[/tex]

[tex]\longmapsto71\degree + x = 180 \degree \: ( \because \: linear \: pair) \\\longmapsto x = 180 -71 \\ \longmapsto109\degree[/tex]

Answer:

Step-by-step explanation:

Given

let the unknown angle be x then,

with reference angle x

perpendicular(p) = 3

base(b)= 9

now

tan x = p/b

tan x = 3 / 9

tan x = 1 / 3

x = tan ^-1( 1/3)

x = 18.43°

hope it will help u :)

Answer:D

Step-by-step explanation:y-4=3(x-1)

y-4=0 3(x-1)

y=-4 , 3x-3

y=-4=3x-3

3 3

y=-4, = x=1

y-x=1+4=5

Answer:

(205-9x) times15

Step-by-step explanation:

The expression the total monthly revenue of Theodore and Sarah's business is  (205-9x)15.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Theodore and Sarah have a small business selling custom-made T-shirts. They currently sell 205 shirts per month and charge $15 per T-shirt. Sarah thinks they can increase their revenue by increasing their selling price, but Theodore knows from experience that each $1 increase in price will decrease the number of T-shirts they sell by 9 shirts per month.

The expression will be written as,

E = (205-9x)15.

Therefore, the expression the total monthly revenue of Theodore and Sarah's business is  (205-9x)15.

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Answer:

b

Step-by-step explanation:

According to the given angles in the question, angle b is greater than angle a.

Mathematical equations with inequalities on both sides are known as inequalities. In an inequality, we compare these two values as opposed to equations. Somewhere between, the equal sign is changed to a less than (or less than or similar to), bigger than (or greater or equal to), or just not equal to sign.

As per the given data from the question,

The side which has got a larger angle has the largest side.

The side c is greater than a and side b is also greater than a.

The remaining angle can be calculated as:

The sum of all angles will be equal to 360.

x + 75 + 90 + 105 = 360

x = 90°.

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