what is the length of the hypotenuse of the triangle below

Answer:

x=22

Step-by-step explanation:

3x+3+27+x+3+2x+18=180

6x+48=180

6x=132

x=22

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

0.5 x 10^2 = 50

Step-by-step explanation:

Hope this helped

Brainliest?

Answer: a = 16

Step-by-step explanation:

The minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.

We are given that a water pumping station is to be built on a river at point P in order to deliver water to points A and B. The design requires that LAPD = /BPC so that the total length of piping that will be needed is a minimum. We need to find this minimum length of pipe.

The given figure is shown below: \(AB = 10 \ miles\)\(BC = 6 \ miles\)\(CP = 12 \ miles\). We are given that \(LAPD = LCPB\).

Now, we need to find the minimum length of pipe required for delivering the water to points A and B.The total length of the pipe, \(L_{total} = LA + AB + BP\)Since \(LAPD = LCPB\), we can say that\(AP^2 + PD^2 = BP^2 + PC^2\).

From the triangle ACP, we can say that\(AC^2 = AP^2 + PC^2\). So, we can substitute AP^2 + PC^2 with AC^2 to get\(AP^2 + PD^2 = BP^2 + AC^2\)Now, we can substitute AP = AC - PC and BP = BC + PC in the above equation to get\((AC - PC)^2 + PD^2 = (BC + PC)^2 + AC^2\).

After solving this equation, we get\(AC = \frac {37}{8}\) and \(PC = \frac {27}{8}\)Now, we can calculate the length of pipe required as follows: \(L_{total} = LA + AB + BP = 10 + 6 + \frac {27}{8} = \boxed{20.375 \ miles}\). Therefore, the minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.

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Answer:

theres no photo

Step-by-step explanation:

Answer:

Step-by-step explanation:

I am sorry but please give detailed question

The number of cards left to be signed is 32 cards.

To determine the number of cards left to be signed, we need to calculate the number of cards signed by each person and subtract it from the total number of cards.First, Emily signed 2/5 of the cards, which is equal to (2/5) * 75 = 30 cards.

Next, we need to find the number of cards remaining after Emily signed. To do this, we subtract the cards Emily signed from the total number of cards:

75 - 30 = 45 cards.

Now, Josh signs 1/9 of the remaining cards, which is equal to (1/9) * 45 = 5 cards.

After Josh signs his portion, we need to find the number of cards still remaining. We subtract the cards Josh signed from the previous remaining cards:

45 - 5 = 40 cards.

Finally, Tatiana signs 20% of what Josh had left, which is equal to 20/100 * 40 = 8 cards.

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The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

The equation of a line can be describe as follows:

y = mx + b

where

Therefore, lines that a perpendicular follows the rule below:

m₁m₂ = -1

Hence,

y + 6 = 3 / 4 (x - 2)

y + 6 = 3 / 4 x - 6 / 4

y =  3 / 4 x - 6 / 4 - 6

y = 3 / 4 x - 30 / 4

y = 3 / 4 x - 15 / 2

Hence,

3 / 4 m₂ = -1

m₂ = - 4 / 3

Therefore,

slope of the line is - 4 / 3

Let's find the y-intercept of the second line

4x + 5y -20 = 0

5y = -4x + 20

y = -4 / 5 x + 4

y-intercept  = 4

Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

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Answer

Step-by-step explanation:

what's the question?

The equation obtained without the absolute value for given function

y = |x-3| + |x +2|-|x - 5| is y = 2.

Without taking into account direction, absolute value describes how far a number is from zero on the number line. A number's absolute value can never be negative. Have a look at these samples.

The given equation:

y = |x-3| + |x +2|-|x - 5|

For x = 3

y = |3-3| + |3+2|-|3 - 5|

y = 0 + |5| - |-3|

Without absolute values:

y = 5 - 3

y = 2

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Complete Question

A few years ago, people tended to have relatively large CD collections. For students at a large university in the midwest, the mean number of CDs owned was 78 with a standard deviation of 90. To confirm these numbers, a random sample of 120 students from this university was collected and the size of their CD collections recorded. These particular 120 students had a mean CD collection size of 80 CDs. What is the numerical value of the sample mean?

Answer:

Sample Mean \(\=x=80\)

Step-by-step explanation:

From the question we are told that:

Population Mean \(\mu=78\)

Standard deviation \(\sigma=90\)

Sample size \(n=120\)

Sample Mean \(\=x=80\)

Therefore

The numerical value of the sample mean is

Sample Mean \(\=x=80\)

Answer:

14.73.

Step-by-step explanation:

Answer:

See image below for answer:)

Step-by-step explanation:

Answer:

Step-by-step explanation:  85 students and 80 adults        

1.) f^-1(x) = x/3 -2

2.)f^-1(x) = 5x/6 + 5/2

I hope this helps you have a nice day!

Answer:

t = 9 s

Step-by-step explanation:

A stone is thrown downward with an intitial velocity of 29.5 m/sec will travel a distance of a meters, where

\(s(t) = -4.9t^2 + 29.4+132.3\)

We need to find when the stone will hit the ground. It means when s(t) = 0. So,

\(-4.9t^2 + 29.4t+132.3=0\\\\t=-3\ and\ t=9\)

So, the stone will take 9 seconds to hit the ground. Hence, this is the required solution.

Step-by-step explanation:

speed=distance÷time

A.V.S=440÷11=40m/s

hope it helps.. Please mark brainliest.

Answer:

40 m/s

Step-by-step explanation:

Find:

We are asked to find the unit rate, How many meters per 1 second?

Know:

440 meters in 11 seconds

Solve:

440 meters in 11 seconds

  ? meters in 1 second

   440/11  = 40 meters per second

Answer:

The average speed of the person is 40 m/s

The given ratio is 4 parts of plain flour to 1 part of cornstarch.

So, each recipe with the same ratio will be the answer.

As you can observe, the first choice is proportional because the plain flour is 4 times the cornstarch.

The second choice is proportional too because the plain flour is 4 times the cornstarch.

However, the last choice is not proportional because it has a ratio of double, which is not correct.

However, I can still give you some general steps to solve a math problem in 200 words.

Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.

Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.

Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.

Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.

Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.

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Answer:

817.25 mph is the plane's avg speed

Step-by-step explanation:

Average speed is MPH (miles per hour)

SInce the plane travels 3269 miles in 4 hours, find the unit rate

\(\frac{3269}{4}\)

Divide by 4

817.25 mph is the plane's avg speed

Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Answer:

Step-by-step explanation:

11 -(-2) x 4

11 + 2 x 4

11 +8

= 19

Answer:

The third one is the one that's not correct.

Step-by-step explanation:

|8| is just 8 but |-9| is 9. So in that case |8| is not greater than 9.

Answer: it is the first one

Step-by-step explanation: the third one is not correct cause it is obviously less than 9

By algebraic handling, the expression 9 / 6 - 4 · (2 / 3 - 7 / 6)² is equivalent to the expression 1 / 2.

In this problem we must simplify an expressions involving powers and rational numbers by algebra definitions and theorems:

9 / 6 - 4 · (2 / 3 - 7 / 6)²                                Given

9 / 6 - 4 · [[(2 · 6) - (3 · 7)] / (3 · 6)]²              Subtraction of fractions with different denominators

9 / 6 - 4 · [(12 - 21) / 18]²                               Definition of multiplication

9 / 6 - 4 · (- 9 / 18)²                                       Definition of subtraction

3 / 2 - 4 · (1 / 2)²                                           Definition of simplification

3 / 2 - 4 · (1 / 4)                                             Power properties

3 / 2 - 1                                                         Definition of division / Existence of multiplicative inverse

3 / 2 - 2 / 2                                                   Definition of division / Existence of multiplicative inverse

1 / 2                                                               Subtraction of fractions with same denominator / Result

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Answer: greater 6/10 is greater.

6/10=0.60

6/100=0.060.

hope this helps!

Step-by-step explanation:

Answer:

t = 22 s

Step-by-step explanation:

If n is the number of strobe pulses

The first strobe pulse occurs at t = 0

t = 2(n - 1)

t = 2(12 - 1)

t = 2(11)

t = 22 s

70 ways

This problem bothers on combination. According to combination formula;

If Kristen's financial advisor has given her a list of 8 potential investments and has asked her to select and rank her favorite four, this can be expressed as;

Hence the number of different ways Kristen can rank the for investments is 70 ways

Answer:

10 pints is equal to 5 quarts

Step-by-step explanation:

Answer:

the probability that a randomly selected duck weighs more than 1.8 kg is 5-10%