Module 11 and 12 Exam On Level
winst vatue of x make this equation true?
-90 = -100 +x

Answer:

x=2, y=21

Step-by-step explanation:

there are two methods: substiution and elimation. I will be doing subtistution in this soultion:

first isolate y in either equation, it would be easier to do it in the second one.

y= 11+5x

Then, subtitute that into the first equation

2(11+5x)+8x=58 (it says 2y+8x+58 but I assume you mean 2y+8x=58?)

22+10x+8x=58

18x = 36

x=2

substitute that back into y = 11+5x, to get y=11+10 = 21

Answer:

y=2

Step-by-step explanation:

-6+7y=8

7y=8+6

7y=14

y=2

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.

For more details on Triple integration follow the link:

https://brainly.com/question/12632797

Answer:

CVS

Step-by-step explanation:

i am pretty sure

Answer:

h = 55

Step-by-step explanation:

Solve for  h  by simplifying both sides of the equation, then isolating the variable.

Answer:

h=55

Step-by-step explanation:

I took the test and got it right

Step-by-step explanation:

Slope-intercept form: y = mx + c

We have m = 1/4. Since it passes through the

point (-4, 2), => When x = -4, y = 2.

=> (2) = (1/4)(-4) + c, 2 = c - 1, c = 3.

Hence the equation is y = x/4 + 3.

Answer:

Y = 1/4x + 3

Step-by-step explanation:

Answer:

215.00

Step-by-step explanation:

Answer:

784.14

Step-by-step explanation:

Answer:

982.4

Step-by-step explanation:

Please Brainiest It will help me get to my quest!!??!?!

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:

2

Step-by-step explanation:

All u need to do, is subtract 3, until u get to the 20th sequence.

59, 56, 53, 50, 47, 44, 41, 38, 35, 32, 29, 26, 23, 20, 17, 14, 11, 8, 5, 2

Answer:

The total number of members are 128 members

Step-by-step explanation:

From the question, mixing the ratio of children to adult, we have ;

7:9

There are 16 more adult members

So if there are x children, then there are 16 + x adults

Thus, the total number of members will be;

16 + x + x = 2x + 16

Now, we have that;

7/16 * (2x + 16) = x

7(2x + 16) = 16x

14x + 112 = 16x

16x-14x = 112

2x = 112

x = 112/2

x = 56

The total number of members is thus;

2(56) + 16 = 128

Answer:

41.79

Step-by-step explanation:

c = 14 * 100/33.5 = 1400/33.5 = 2800/67

= 41.79104

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: 7:3

Step-by-step explanation:

From the question, we are given the information that the ratio of cars to trucks in a shopping mall is 3 cars to 7 trucks.

The ratio of trucks to cars will simply be the reverse of the ratio given. This will be: = 7:3

Answer:

7:3

Step-by-step explanation:

it says what is the ratio of truck to cars so how many trucks are there? 7 trucks . and how many cars are there? 3 cars so it is 7:3 because there are 7 trucks and 3 cars so you put both of them together there is your answer. Ratio's are very easy.

Answer:

V= a³ => 96 = a³ => a= ∛96 =2∛12

The length of each edge of the cube : C : 2∛12

Step-by-step explanation:

Answer:

its the 3rd one ab and cd

Answer:

b

Step-by-step explanation:

2(h-8)-h=h-16

step 1 distribute 2 to whats in the parenthesis

2h-16-h=h-16

step 2 combine like terms

h-16=h-16

add 16 to each side

h=h

subtract h from each side  

0=0

this would have an infinite amount of solutions

Answer:

-16

Step-by-step explanation:

becjv dfv igcicifcigxixixicocvicicirxc ou9 xexiixi xiexexuwuzwxit

Answer:

I would say  57 is the answer

Step-by-step explanation:

34 degrees.

If you want to find how much an angle is, first check the original line (aka base). Then (only if the line is a 180 degree line) subtract whatever value is shown (in this case it was 146 degrees so what you would do is subtract 146 from 180 and you would have your answer).

Hope this helps.

-Northstar

Answer:

C

Step-by-step explanation:

If you think about it hard enough, and look at it real hard, you can see. Think of like a capital L. 7 tall and 7 wide. I'm not sure but thats what I think.

Answer:4.29

Step-by-step explanation:

Answer:

13.125

Step-by-step explanation:

14 x 1/8 and 9 x 5/6

I know its a lot but hope this helps btw these are supposed to be over each other but i couldn't find a way to do that so yea but hope this is right

Answer) The endoplasmic reticulum takes the proteins that are made by the ribosomes and folds them into sacs that are called cisternae. It then transports these folded proteins to the Golgi apparatus. The Golgi apparatus is a series of membranes that look like flattened pancakes

I hope it is helpful

Answer:

can i see the picture?

Answer:

x=-8

y=2

Step-by-step explanation:

Answer:

161.568

Step-by-step explanation:

use a calculator just multiply

Answer:

Step-by-step explanation:

the standard form is

1.496 × 10^8=149,600,000 km

If $1000 is invested now with simple interest of 8% per year. ... Find the total amount on deposit at the end of 4 years if the interest is: ... e) compounded monthly, n =12: A = 5000(1 + 0.06/12)(12)(4) = 5000(1.005)(48) = $6352.44 ... When a bank offers you an annual interest rate of 6% compounded continuously,

Answer:

E

Step-by-step explanation:

Irrational means cannot be put into a fraction. Or random repeating decimals is how I remember it.

√48 can be simplified to equal 4√3. √3 cannot be put into fraction form.