Find the volume of the figure. Round your answer to two decimal places, if needed

Using graphical method of Linear programing problem, the system of inequalities are x + y ≤ 17 and 11x +8y ≥ 160. The maximum value of z=145, x=8,y=14 .

Linear programing problem is" a system of process of finding maximum or minimum value of any variables".

Inequalities is statement of an order relationship, "greater than or greater than or equal to, less than or less than or equal to between two numbers or algebraic expressions" .

According to the question,

Let 'x' represents the number of hours clearing tables and 'y' represents the number of hours clearing tables.

maximum of z =11x+8y

x + y ≤ 17             →     (1)

11x +8y ≥ 160      →       (2)

Using graphical method, we can solve this Linear programing problem(LPP).

In inequality(1) put x=0, we get y=17 and y=0, we get x=17 therefore in equation (1) we get (17,17) draw this point on graph.

In inequality(2) put x=0 we get y=20 and put y=0 we get x=14.54 from equation(2) we get (14.54,20) draw this point on graph.

To find maximum value of z solve this equation

x + y =17            →(3)

11x +8y =160      →(4),

multiply (3) by 8 we get, 8x+8y=136 and subtract the equation (3) from the equation (4)

11x+8y=160

8x+8y=136                               [multiply by(-) on both sides]

we get x=3 substitute this 'x' value in equation (3)

3+y=17

y = 14.

The maximum z = 11x+8y

                         z = 11(3)+8(14)               [substitute (3,14)]

       maximum z =145.

Hence, using graphical method of Linear programing problem, the system of inequalities are x + y ≤ 17 and 11x +8y ≥ 160. The maximum value of z=145, x=8,y=14 .

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Answer:

f(4) = 6

Step-by-step explanation:

When you have a function f(x) the number inside the parenthesis is the x value. In this case its 4. So the function value for f(4) is 6 because that is where the line is at x = 4

Step-by-step explanation:

Question does not specify how many year and is in plural form considering the level of question I will consider it is some typo error and is just 1 year

Step 1

Finding Intrest for Rs200

We have

Principal(P) = Rs 200

Rate (R) = 7%pa

Time (T) = 1year

Intrest(I) =?

We have ,

I =PTR/100

=200*7/100

=Rs 14

Step 2

Finding intrest for Rs2000

Given

Principal(P)=Rs2000

Rate(R) =11%

Time(T) =1 year

Intrest(I) =?

We know,

I =PTR/100

=2000*11/100

= 20*11

=Rs 220

Answer:

The second answer is the correct one, f(x) = -(x + 1)² - 2

Step-by-step explanation:

We know that the answer must either be the second or third, because those two have (x + 1) squared, which means that the vertex must have an x co-ordinate of -1.

We also know that the third one can't be correct, as the y-coordinate of -6 requires a negative coefficient of the x^2.  Without that the parabola would be moving upward from its vertex of (-1, -2).

With those we can eliminate all answers but the second one

Answer:

Step-by-step explanation:

Write the equation of the function of a parabola with vertex at (–1,–2) and a point (1,–6) that lies on the curve.

Question 9 options:

f(x) = −(x + 1)2 − 2

Answer:

well i donk know

so but just trying to get points

Answer:

Angle E, Angle G, Angle F

Step-by-step explanation:

There is a theorem (forget the name) that says if the side opposite to is is larger, then its angle measure is larger. So here they are from smallest to largest. Angle E, Angle G, Angle F

Answer:

m<E < m<G < m<F

Step-by-step explanation:

it is a 30,60,90 Triangle E = 30, G = 60 and F = 90

Answer:

i believe it's c. im not 100% sure though!

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

Answer:

-9

Step-by-step explanation:

Plug in -3 for the x value to get 6 + 5 (-3).  Multiply 5 by -3 to get -15 and subtract that number from 6 to get -9 as your final answer.

Answer:

6 < x ≤ 10

Step-by-step explanation:

The graph given shows that the possible value of x greater 6 (does not include 6 because the circle is not full) and also is less than or equal to 10 (includes 10 because the circle is full).

That is: x > 6 and x ≤ 10

This can be written as: 6 < x ≤ 10

Answer:

3x + y - 3

Step-by-step explanation:

Like Terms: In algebra, like terms are terms that have the same variables and powers.

To simplify this expression and get an expression that is eual to 5x + 3y - 2x - 2y - 3 I used like terms :

(5x - 2x) + (3y - 2y)

(5x - 2x = 3x) + (3y - 2y = 1y or y)

3x + y

Then we add the - 3 at the end giving us:

3x + y - 3

Given:

Universal set = {a, b, c, d, e, f, g, h}

A = {a, b, c, d}

B = {a, d, e}

C= {c, f, g, h}

To find:

The elements of set B'.

Solution:

Let universal set be U.

U = {a, b, c, d, e, f, g, h}

We know that,

Compliment of a set = Universal set - Set

It means,

[tex]B'=U-B[/tex]

[tex]B'=\{a, b, c, d, e, f, g, h\}-\{a,d,e\}[/tex]

[tex]B'=\{b, c,f, g, h\}[/tex]

Therefore, only b, c, f, g, h are the elements of set B'.

Answer:

-13=4y+3 -3

-16=4y ÷4

-4=y

Step-by-step explanation:

hope it helps ^^

Answer:

y = -4

explenation in picture

Answer:

$3.70

Step-by-step explanation:

What you would do is 18.50×20%. And to make it easier you would do 18.50×0.20 which equals 3.70.

Answer:

The shirt would be $14.80 after using the coupon!

Step-by-step explanation:

I hope this helps a bit, have a good day! =)

Answer:

J+22=X

Step-by-step explanation:

J represents Jared and since Xavier made 22 more baskets than Jared you add 22 onto Jared's amount of baskets to figure out how many Xavier made.

Step-by-step explanation:

I think it might be enough to help you.

Answer:

The mean and standard deviation of the number of questions that each student gets correct are 4 and 1.789 respectively (

Answer: mean: 4

standard deviation: 1.79

Step-by-step explanation:

Answer:

im allergic to cookies

Step-by-step explanation:

Answer:

note: there may be other possible explanations and more body systems can be involved and I can go into much greater detail

1: Nervous system signals your muscles in mouth to abduct and adduct as well as your salivary glands to produce saliva to break down the food, as well as prepare the stomach to digest the food

2: Muscular system moves muscles in mouth to break food down into smaller pieces so there is greater surface area for digestive enzymes to work on the food, then muscles in oesophagus move food to stomach, where stomach muscles churn the broken down food around to speed up digestion

3: Digestive system releases numerous digestive enzymes into the food to break down lipids, carbohydrates and proteins. Small intestines absorb nutrients into bloodstream, and large intestine absorbs water.

4: Excretory system removes excess mostly dry waste through the anus as well as urine from ureter.

Answer:

5/-1

Step-by-step explanation:

The reciprocal is just flipping the fraction.

Answer:

is answer is 8,340

Step-by-step explanation:

add 280 and 415 and get 695

then multiply by 5 and get 3,475

then multiply 695 by 12 and get 8,340

Answer:

544

Step-by-step explanation:

102 divided by 3 to find how many miles per gallon which is 34 then multiply by 16

Answer:

544

Step-by-step explanation:

102 divided by 3 to find how many miles per gallon which is 34 then multiply by 16 which is 544.

Answer:

8,760

Step-by-step explanation:

365 X 24

Answer:

The answer is 2.3 B It is just by dividing

Answer:

B. 2.3

Step-by-step explanation:

Change the divisor 4.4 to a whole number by moving the decimal point 1 place to the right. Then move the decimal point in the dividend the same, 1 place to the right.

We then have the equations:

101.2 ÷ 44 = 2.3

and therefore:

10.12 ÷ 4.4 = 2.3

Answer: wheres the attachment..

Step-by-step explanation:

Answer:

n = 19.6

Step-by-step explanation:

Given the expression;

1.6(1 + 0.5n) - 3.2 = 1.1(n - 6.8)

Open the bracket

1.6 + 0.8n - 3.2 = 1.1n - 7.48

Collect the like terms

0.8n - 1.1n = -7.48 + 3.2 - 1.6

-0.3n = -5.88

n = -5.88/-0.3

n = 19.6

Hence the value of n is 19.6

Answer:

[tex] \sec( \frac{x}{3} ) + 4 > 2 - \sec( \frac{x}{3} ) \\ 2 \sec( \frac{x}{3} ) > - 2 \\ \sec( \frac{x}{3} ) > - 1 \\ \boxed{y = \sec( \frac{x}{3} )} \\ \boxed{y = - 1}[/tex]

B) is the right answer.

Answer:

B

Step-by-step explanation:

We want to solve the inequality:

[tex]\displaystyle \sec\Big(\frac{x}{3}\Big)+4>2-\sec\Big(\frac{x}{3}\Big )[/tex]

First, we can add sec(x/3) to both sides:

[tex]\displaystyle2 \sec\Big(\frac{x}{3}\Big)+4>2[/tex]

Subtracting 4 from both sides yields:

[tex]\displaystyle 2\sec\Big(\frac{x}{3}\Big)>-2[/tex]

And dividing both sides by 2 yields:

[tex]\displaystyle \sec\Big(\frac{x}{3}\Big)>-1[/tex]

Therefore, we can graph the following two functions:

[tex]\displaystyle y=\sec\Big(\frac{x}{3}\Big)\text{ and } y=-1[/tex]

Where our solutions will be all the intervals where y = sec(x/3) is above the line y = -1.