Find the parameter
4.8cm 5.2cm 3.5cm

We have the following:

The first thing is to calculate the ratio between both paintings.

After finding the ratios, it can be calculated for any value using a proportionality rule.

for example, for 5 cups of blue paint, should be for yellow paint:

therefore, should be 25 cups of yellow paint

Answer:

12 glasses = 48 seconds

11 glasses = 44 seconds

Answer:

i think the answer is 13 pencils

Answer:

2.8125 mile

Step-by-step explanation:

hope its right

Answer:

x = 6

Step-by-step explanation:

First of all you should collect like terms

-x = 18 - 4x

Then you should move the variable to the left

-x + 4x = 18

After that you should collect like terms

3x = 18

Finally divide both sides by 3

x = 6

Hope this helps!

Answer:

6

Step-by-step explanation:

20.

AEB =142

BEC = 38

CED = 142

AED= 38

21.

AEB= 132

BEC = 48

CED = 132

AED = 48

The root locus plot of D(s) = K is shown and We have to design a digital controller that makes the closed-loop system steady-state error zero to step inputs and the closed-loop system poles double on the real axis.

The settling time is found to be T_s = 0.22s, and the maximum overshoot is found to be M_p = 26.7%.d)

a) Root locus plot for D(s) = K

The root locus plot of D(s) = K is shown.

b) Design a digital controller that makes the closed-loop system steady-state error zero to step inputs and the closed-loop system poles double on the real axis.

For this question, we have to design a digital controller that makes the closed-loop system steady-state error zero to step inputs and the closed-loop system poles double on the real axis.

The following formula will be used to obtain a closed-loop transfer function with double poles on the real axis:

k = 3.6 and K = 60 we obtain the following digital controller:

C(s) = [0.006 s + 0.0016] / s

Now, we have to find the corresponding discrete-time equivalent of the above digital controller:

C(z) = [0.012 (z + 0.1333)] / (z - 0.8)c)

c) Settling time and the overshoot of the digital control system with the controller you designed in

(b)The closed-loop transfer function with the designed digital controller is given below:

Let us substitute T = 20ms into the transfer function, which is shown below:

By substituting the values into the above equation, we get the following closed-loop transfer function:

For a unit step input, the corresponding step response plot for the closed-loop transfer function with the designed digital controller is shown below:

The settling time and the overshoot of the digital control system with the controller designed in

(b) are as follows:

From the above plot, the settling time is found to be T_s = 0.22s, and the maximum overshoot is found to be M_p = 26.7%.d)

Simulate the response of the designed controller for a unit step input in Simulink by constructing the block diagram. Provide its screenshot and the system response plot.

The system response plot is shown below:

Note: Q2 should be solved by hand instead of

(d). You can verify your results by rlocus and sisotool commands in MATLAB.

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60.82 kilos are equal to 134 pounds. To convert from pounds to kilogram multiply the amount of pounds by 0.45359237 because one pound is equivalent to 0.45359237 kilogram .

134 lbs * 0.45359237 = 60.82 kg

It's easy to convert 134 pounds to kilos. Simply multiply the number of pounds by 0.45359237 to convert from pounds to kilogrammes. One pound is equal to 0.45359237 kilogram .134 lbs multiplied by the an

0.45359237 in this instance equals 60.82 kilos. Hence, 134 pounds are equivalent to 60.82 kilos.  You would just reverse the process and divide the amount of kilogram by 0.45359237 to convert from kilogram to pounds. If you were to convert 90 kilogram to pounds, for instance, you would divide 90 by 0.45359237, which would give you 199.6 lbs. It only takes a fundamental grasp of multiplication and division to convert between the two units.

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Answer:

\( \sf \: -2x² + 6x + 4 \)

Step-by-step explanation:

Given problem,

→ (3x² + 8x - 7) - (5x² + 2x - 11)

Let's solve the problem,

→ (3x² + 8x - 7) - (5x² + 2x - 11)

→ 3x² + 8x - 7 - 5x² - 2x + 11

→ (3x² - 5x²) + (8x - 2x) + (-7 + 11)

→ (3 - 5)x² + (8 - 2)x + 4

→ -2x² + 6x + 4

Hence, answer is -2x² + 6x + 4.

Answer: 40

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

A benchmark is a halfway point between two set points. Typically, the best way to find a benchmark is to make a number line with both of the points that you need to find the benchmark between, then you basically just find the halfway mark.

I hope this helps. If you need a further explanation let me know :)

The length of the diagonal of the parallelogram is 10 cm using the Pythagoras rule.

The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 

In the question, we observe that the diagonal of the parallelogram will form a right-angled triangle with the adjacent side of length 8cm and 6cm.

thus by Pythagoras rule;

the length of the diagonal = √(6² + 8²) cm

the length of the diagonal = √(36 + 64) cm

the length of the diagonal = √100 cm

the length of the diagonal = 10 cm

In conclusion, by proper application of Pythagoras rule we have derived the length of the diagonal of the parallelogram to be 10 cm.

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Answer:

x - 5

Step-by-step explanation:

Let the input be x

Therefore, output = x - 5

the merchant uses 48 pounds of the $3 tea and 32 pounds of the $2.75 tea in the blend.

To determine the amount of each type of tea used in the blend, we can set up a system of equations based on the given information. Let's assume x pounds of the $3 tea are used and y pounds of the $2.75 tea are used.

The first equation represents the total weight of the mixture: x + y = 80 (equation 1).

The second equation represents the average price per pound of the mixture: (3x + 2.75y) / 80 = 2.90 (equation 2).

To solve this system of equations, we can use the method of substitution or elimination.

Using substitution, we can solve equation 1 for x: x = 80 - y. Substituting this into equation 2, we have (3(80 - y) + 2.75y) / 80 = 2.90.

Simplifying the equation, we get (240 - 3y + 2.75y) / 80 = 2.90.

Combining like terms, we have (240 - 0.25y) / 80 = 2.90.

Cross-multiplying, we get 240 - 0.25y = 2.90 * 80.

Simplifying further, we have 240 - 0.25y = 232.

Subtracting 240 from both sides, we get -0.25y = -8.

Dividing both sides by -0.25, we find y = 32.

Substituting this value of y into equation 1, we have x + 32 = 80.

Solving for x, we get x = 80 - 32 = 48.

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The statistics for factory workers is more erratic and has a greater percentage.

The coefficient of variation is an equation that can be used to measure the dispersion of data points in a data set around the mean. It is possible to make the error of counting simply the standard deviation, as I had done in the past.

where mu is the population's mean and sigma represents the population's standard deviation.

Construction workers miss per year is 11.

The standard deviation is 3.1.

Every year, factory workers lose 10 days on average.

The standard deviation of 2.7.

The greatest proportion of CV is thought to be more volatile.

Let's do the math:

Construction workers\(=\frac{\sigma}{\mu} =\frac{3.1}{11}= 0.281*100=28.1\)

Factory workers\(=\frac{\sigma}{\mu}=\frac{2.7}{10}=0.27*100=27\)

Since, the factory workers have a higher percentage, their data is more variable.

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Answer:

The slope is undefined

Step-by-step explanation:

\(m=\frac{9-3}{2-2}\)

The denominator leads to 0 so it would not be possible to find the answer

Answer:

undefined

Step-by-step explanation:

anything divided by zero is undefined since you cant logically give (for example) 2 apples to 0 people.

For slopes not so obvious, the formula is (slope)m= (rise)y/(run)x

a. The negation of the statement is "There is no graph that is connected and bipartite."

The statement "There is a graph that is connected and bipartite" is a statement of existence. Its negation is a statement that denies the existence of such a graph. Therefore, the negation of the statement is "There is no graph that is connected and bipartite."

b. The statement "For all x in R, if x has a terminating decimal then x is a rational number" is a statement of universal quantification and implication. Its negation is a statement that either denies the universal quantification or negates the implication. Therefore, the negation of the statement is either "There exists an x in R such that x has a terminating decimal but x is not a rational number" or "There is a real number x with a terminating decimal that is not a rational number." These two statements are logically equivalent, but the second one is a bit simpler and more direct.

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Answer:

(2,-5)

Step-by-step explanation:

See attachment

One can also solve this by calculation:

y=2x-9

y=-2x-1

-

Rearrange either equation to find x.  I'll use the first:

y=2x-9

2x = y+9

x = (y+9)/2

Now use this value of x in the second equation:

y =  -2x-1

y =-2((y+9)/2)-1

y = (-2y-18)/2)-1

y = -y -9 - 1

2y = -10

y = -5

Now use -5 for y in the rearranged equation:

y =  -2x-1

-5 =  -2x-1

-2x = -4

x = 2

Solution is (2,-5)

But the question wants a graph solution, which is also fun when you use DESMOS.

Answer:

(D) 11

Step-by-step explanation:

maca e laranja significa que ele precisa comprar pelo menos 1 de cada, a maca e mais cara ent compre 1 e o resto de laranja, isso daria 11 frutas.

Gary, Mary, and Rory have 96 candies altogether.

Let's assume that the original number of candies that Gary, Mary, and Rory had is "x".

After Gary gives Mary half of all his candies, he would have x/2 candies.

Then, after Mary gives Rory half of all the candies she has at the moment, she would have x/4 candies.

And then, after Rory gives Gary half of all the candies he (Rory) has at the moment, he would have x/8 candies.

Now, we know that Gary would have 12 more candies than he had originally, which means:

x/2 + x/8 = x/2 + x/4 - 12

We can combine like terms and simplify the equation:

x/2 + x/8 = x/4 + x/4 - 12

x/8 = 12

x = 8 * 12

x = 96

Thus, Gary, Mary, and Rory have 96 candies altogether.

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From the question, the sum of each of the geometric sequence are;

1)  31 3/4

2) 340

3) 11/16

4) -6, 12, -24

We have that;

Sn = a(1 -\(r^n\))/1 - r

Sn = 16(1 \(- (1/2)^7\))1 - 1/2

Sn = 16(1 - 1/128)/1/2

Sn = 16(127/128) * 2

Sn = 31 3/4

2) Un = a\(r^n\) -1

256 = \(4(4)^n-1\)

64 =\(4^n-1\)

\(4^3 = 4^n-1\)

n = 4

Sn= \(4(4^4 - 1)\)/4 - 1

Sn = 340

3) Since we have a5 then n = 5

Sn = 1(1 - (\(-1/2)^5\))/1 -(-1/2)

Sn = 33/32 * 2/3

= 11/16

4) 30= a(1 -\((-2)^4\))/1 - (-2)

30 = a(-15)/3

30 = -5a

a = 30/-5

a = -6

Then the first three terms are;

-6, 12, -24

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The number of nickels and the number of dimes that Violet has is 10 nickles and 11 dimes.

Given:

Violet has $1.60 worth of nickels and dimes. She has a total of 21 nickels and dimes altogether.

Let nickles be n and dimes be d.

From statement given:

n + d = 21

n = 21 - d

1 dimes = 10 cents , 1 nickle = 5 cents and $1 = 100 cents.

n + d = $1.60

convert into cents

5n + 10d = 160

divide by 5 on both sides

n + 2d = 32

n = d - 21 substitute in n + 2d = 32

21 - d + 2d  = 32

d + 21 = 32

d = 11

Hence number of dimes = 11

substitute d = 11 in n = 21 - d

n = 21 - 10

n = 10

Hence number of nickles = 10

Therefore the number of nickels and the number of dimes that Violet has is 10 nickles and 11 dimes.

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Answer:

Step-by-step explanation:

Answer:

153/8

Step-by-step explanation:

Answer:

The second choice.

Step-by-step explanation:

Correspond sides are in the same ratio

12/4 =  x/8

.

On Day 1, Jenna's original menu had 11 percentage of calories from saturated fat, while on Day 2, Jenna's modified menu had only 4% of calories from saturated fat.

To calculate the percentage of calories from saturated fat for both days, first locate the columns for saturated fat (Fat-S) and calories (Cals) on the spreadsheet report. Add the total number of calories for both days, then add the total number of saturated fat calories for both days. To calculate the percentage of calories from saturated fat for each day, divide the total number of saturated fat calories for each day by the total number of calories for each day and multiply by 100. On Day 1, Jenna's original menu had a total of 2,826 calories, with 317 saturated fat calories, meaning 11% of calories from saturated fat. On Day 2, Jenna's modified menu had a total of 2,839 calories, with 115 saturated fat calories, meaning 4% of calories from saturated fat. Therefore, Day 2 had a much lower percentage of calories from saturated fat when compared to Day 1.

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