Answer:
From top to bottom: 1/8, 2 1/2, 3
Step-by-step explanation:
The first number means that it take 8 quarters to equal a toonie and you don't have a toonie with 1 quater
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Answer:
5200
Step-by-step explanation:
99.6 can be rounded to 100.
100*52 is 5200
Answer:
5200.
Step-by-step explanation:
Implement the compensators shown in a. and b. below. Choose a passive realization if possible. (s+0.1)(s+5) a. Ge(s) = S b. Ge(s) = (s +0.1) (s+2) (s+0.01) (s+20) Answer a. Ge(s) is a PID controller and thus requires active realization. C₁ = 10 μF, C₂ = 100 μF, R₁ = 20 kn, R₂ = 100 kn b. G(s) is a lag-lead compensator that can be implemented with a passive network C₁ = 100 μF, C₂ = 900 μF, R₁ = 100 kn, R₂ = 560 For practice, refer to Q31 & Q32 page 521 in Control Systems Engineering, by Norman S. Nise, 6th Edition
a. Ge(s) = (s + 0.1)(s + 5)
This transfer function represents a PID (Proportional-Integral-Derivative) controller. PID controllers require active realization as they involve operational amplifiers to perform the necessary mathematical operations. Therefore, a passive realization is not possible for this compensator.
The parameters C₁, C₂, R₁, and R₂ mentioned in the answer are component values for an active realization of the PID controller using operational amplifiers. These values would determine the specific characteristics and performance of the controller.
b. Ge(s) = (s + 0.1)(s + 2)(s + 0.01)(s + 20)
This transfer function represents a lag-lead compensator. Lag-lead compensators can be realized using passive networks (resistors, capacitors, and inductors) without requiring operational amplifiers.
The parameters C₁, C₂, R₁, and R₂ mentioned in the answer are component values for the passive network implementation of the lag-lead compensator. These values would determine the specific frequency response and characteristics of the compensator.
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how many cubes each of 2 cm length can be kept inside of a cube of 6 CM length
Answer:
Hence 27 cubes can be obtained.
Step-by-step explanation:
Volume occupied by one cube of side 2cm = 2*2*2 = 8cm^3
Volume of cube of side 6cm = 216cm^3
Number of cubes of side 2cm which would fit in a cube of side 6cm = 216/8 = 27 cubes
Simplified to create a equivalent expression
5(2p+1)+3(3p-1)
Answer:
19p+ 2
Step-by-step explanation:
I hope this helps :-)
Answer:
Step-by-step explanation:
5(2p+1)+3(3p-1)
5p + 3p + 2p + 3p =
13
answer. ill give brainliest to whoever answers first correctly
Answer:
∠ W = 30°
Step-by-step explanation:
using the cosine ratio in the right triangle
cos W = \(\frac{adjacent}{hypotenuse}\) = \(\frac{WY}{WX}\) = \(\frac{2\sqrt{21} }{4\sqrt{7} }\) = \(\frac{1}{2}\) \(\sqrt{\frac{21}{7} }\) = \(\frac{\sqrt{3} }{2}\) , then
∠ W = \(cos^{-1}\) ( \(\frac{\sqrt{3} }{2}\) ) = 30°
Evaluate the following expression if v = 5 and w = -3: 6v - w. Type the number answer only. For example: if the answer was value is 17, then you would type 17 in the blank.
Answer:
33
Step-by-step explanation:
6v - w =
6(5) - (-3) =
30 + 3 =
33
Identify the area of the figure rounded to the nearest tenth
Answer:
118.7 inches squared.
Step-by-step explanation:
What is the area?The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.
What is diameter?Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.
The expression for solving the area of a circle is A = π × \(r^{2}\).
To solve for the semicircle above, we can divide the diameter into 2 to get the radius.
12 ÷ 2 = 6So, the radius of the upper semicircle is 6 inches.
If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.
A = π × \(6^{2}\)This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.
To solve for the lower semicircle, we can do the same this as we did above.
A = π × \(r^{2}\)But wait, we don't know the radius or diameter!
No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.
To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.
6 ÷ 2 = 3So, the radius of the circle is 3.
Now we can insert 3 into the expression.
A = π × \(3^{2}\)This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.
Adding the two semicircles together:
18π + 4.5π = 22.5π22.5 × π ≈ 70.6858So, the area of both semicircles is approximately 70.6858 square inches.
To solve for the area of a rectangle we use the expression:
A = length × widthInserting the dimensions of the rectangle:
8 × 6 = 48So, the area of the rectangle is 48 square inches.
Adding the two areas together:
70.6858 + 48 = 118.6858 ≈ 118.7Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).
A plant currently measures 5.5 inches tall and will grow at a rate of 1 inch per week. Andrew wants to graph this information for his Science Fair project. If x represents the number of weeks and y represents the height of the plant, which choice below correctly describes the y-intercept in this relationship?
(5.5, 0)
(0,1)
(0, 5.5)
(1, 5.5)
Answer:
0, 5.5
Step-by-step explanation:
when they ask for a y-intercept, x is always zero, so now we eliminate two of the answers, and we will only have (0, 1) or (0, 5.5). At the beginning of the question it said a plant is currently at 5.5, so it started as 5.5 (0, 5.5)
so THE ANSWER IS (0, 5.5)
PLZ MARK ME AS BRAINLIEST.
PLEASE HELP
x = ___ units
Answer:
x = 16 units
Step-by-step explanation:
∆ABC is a 45-45-90 triangle, and ∆BCD is a 30-60-90 triangle.
If side opposite of 90° [∆] = x, side opposite of 45° [∆] = x / √2 = x √ 2 / 2.
Given side AC is opposite of 90° [∆ABC] = 32 √ 2, side opposite of 45° [∆ABC] = 32 √ 2 / √ 2 = 32 which is AB or BC.
Since side BC is part of BCD.
Side opposite of 90° [∆BCD] = BC = 32.
Since x is opposite of 30° [∆BCD].
x = Side opposite of 90° [∆BCD] / 2 = 32 / 2 = 16.
Which equation is equivalent to 1\5x-3-2\3
The equivalent equation of the equation given as 1/5x - 3 - 2/3 is 1/5x - 11/3
How to determine the equivalent equationFrom the question, we have the following parameters that can be used in our computation:
1\5x-3-2\3
The fractions can be properly expressed as
1/5x - 3 - 2/3
Next, we evaluate the difference between -3 and -2/3
So, we have the following representation
1/5x - 3 - 2/3 = 1/5x - (9 + 2)/3
Evaluate the like terms
So, we have the following representation
1/5x - 3 - 2/3 = 1/5x - (11)/3
Remove the brackets
This gives
1/5x - 3 - 2/3 = 1/5x - 11/3
Hence, the equivalent equation is 1/5x - 11/3
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Bethany is baking cookies for her school's bake sale. She plans to bake more than 185 cookies, in batches of 12 cookies. So far, Bethany has baked a total of 48 cookies. What inequality describes this situation, if b represents the number of batches of cookies Bethany has left to bake? A. 185>48+12b B. 185>12+48b C. 185<12+48b D. 185<48+12b
Answer:
D) 185<48+12b
Step-by-step explanation:
The inequality has to be < because it says she plans to bake more than 185 cookies meaning that the right side has to be more.
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Answer:
Step-by-step explanation:
UWV is a 30°-60°-90° triangle.
The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2
The length of the side opposite the 90° angle is 10,
so the length of the side opposite the 30° angle is 5
and the length of the side opposite the 60° angle is 5√3
A warehouse has a height of 8 2/10 meters, length of 120 meters, and width of 20 3/10 meters. What is the volume of the warehouse?
pls answer fast, best question gets brainliest
Answer:
59×695÷500×56677×6626
The length of a rectangle is 3 more than twice its width, w. Which expression represents the area of this rectangle, and what is the area if the width is 5 cm?
w(2 + 3w): 85 cm?
w(3 + 2w): 65 cm
2w(w + 3): 80 cm2
(w + 2)(3w): 105 cm2
Answer:
Step-by-step explanation:
Let width be w.
Let the length equal 3+2w.
Since w=5 cm,
3+2w=13 cm
Area of rectangle= length× width
Area=13×5
Area=65 cm2
So the answer is the 2nd option. Hope it helps!
Review the title of the poem and lines 1-10. What does the word ""Road"" symbolize in the title? What do the woods symbolize? Explain what helped you determine what the symbols mean
To determine the symbolism of the word "Road" in the title and the woods in the poem, it is necessary to examine the context and themes of the poem.
The word "Road" often symbolizes a journey, choices, or the path of life, representing decisions and directions one takes. The woods, on the other hand, can symbolize the unknown, challenges, or a sense of being lost or overwhelmed. Understanding the symbolism requires analyzing the imagery, tone, and themes of the poem, as well as considering the poet's intentions and the larger context of the work.
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which of the following has an f distribution? (n − 1)s/ s12/s22 (n − 1)s1/s2 s1/s2
The first option (n − 1)s/ s1^2/s2^2 has an F distribution.
In statistics, the F-distribution is a probability distribution that is used to compare the variances of two independent samples. The F-distribution is defined as the ratio of two independent chi-square distributions, each divided by its degrees of freedom. The query lists three options: (n − 1)s/ s12/s22, (n − 1)s1/s2, and s1/s2, and asks which of these has an F-distribution. The correct option is (n − 1)s1/s2, which has an F-distribution with (n − 1) numerator degrees of freedom and (n − 1) denominator degrees of freedom [1]. The other options are not F-distributions.
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you take two steps every hour how long would it take to walk 20 miles
Answer:
21120 hours long
Step-by-step explanation:
42240=20 miles
42240/2=21120h
Answer:
200 hours (yes, very long)
Step-by-step explanation:
You take about 2,000 steps a mile. So, you have to multiply 2,000 by 20 which is 40,000. Then, you have to divide 40,000 by 20. Lastly, you will end up with 200 hours as your answer.
Hope this helps :)
Miranda is conducting a poll to determine how many students would attend a students-only school dance if one was held. Which sample is most likely to yield a representative sample for the poll? twenty names from each grade pulled blindly from a container filled with the names of the entire student body written on slips of paper every tenth person walking down Main Street in town at different times of the day all of the students who write into the school newspaper every student from all of Miranda’s classes
The sample that is most likely to yield a representative sample for the poll is "twenty names from each grade pulled blindly from a container filled with the names of the entire student body written on slips of paper."
A representative sample is one that accurately reflects the characteristics of the population from which it is drawn. In this case, Miranda wants to determine how many students would attend a students-only school dance. To achieve this, she needs a sample that represents the entire student body.
The option of selecting twenty names from each grade ensures that the sample includes students from all grades, which is important to capture the diversity of the student body.
By pulling the names blindly from a container filled with the names of the entire student body, the selection process is unbiased and random, minimizing any potential biases that could arise from alternative methods.
The other options have certain limitations that may result in a non-representative sample. For example, selecting every tenth person walking down Main Street may introduce a bias towards students who live or frequent that particular area.
Students who write into the school newspaper may have different interests or characteristics compared to the general student body, leading to a biased sample. Similarly, selecting all the students from Miranda's classes would not represent the entire student body, as it would only include students from those specific classes.
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Andy's phone plan charges $0.45 per text message plus a $20 monthly fee. Jeff's plan charges $0.20 a text plus an additional $35 monthly fee. Which equation can be used to determine when the phone plans will cost the same based on the number of texts?
Answer:
20+0.45x=35+0.20x
Step-by-step explanation:
From the information given, you can say that Andy's plan cost would be equal to Jeff's plan cost and then solve for the number of text to find when the phone plans will cost the same:
20+0.45x=35+0.20x, where x is the number of texts
Now, you can solve for x:
0.45x-0.20x=35-20
0.25x=15
x=15/0.25
x=60
According to this, the equation that can be used to determine when the phone plans will cost the same based on the number of texts is 20+0.45x=35+0.20x.
regression equations are usually used to predict values of unavailable data. if the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. the more closely data fit a model, the more predicted values will be.
The statement given "regression equations are usually used to predict values of unavailable data. if the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. the more closely data fit a model, the more predicted values will be." is true because regression equations are indeed employed for predicting values of unavailable data.
Regression equations are commonly utilized to make predictions for unavailable data. When the data does not closely conform to a specific type of function, that function is deemed inappropriate for statistical regression. The accuracy of predicted values is contingent on the degree of resemblance between the data and the chosen model. Hence, a strong fit between the data and the model enhances the reliability of predicted values, ensuring that regression analysis is effectively applied for making accurate predictions.
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A child is choosing between several types of cereal. The probability that he chooses Corn O's is 0. 113. The probability that he choose Rice O's is 8. 9% The probability that he chooses Wheat O's is 5/16. The probability that he chooses Bran O's is 0. 04 The probability that he chooses Chocolate O's is 3/10 Rank the cereals in order from least likely to be chosen to most likely to be chosen
To rank the cereals in order from least likely to be chosen to most likely to be chosen, we need to compare their probabilities. Here are the cereals ranked in order:
Bran O's (0.04): This cereal has the lowest probability of being chosen among the options provided.
Rice O's (8.9% or 0.089): This cereal has a higher probability than Bran O's but is lower than the remaining options.
Wheat O's (5/16 or 0.3125): This cereal has a higher probability than Rice O's but is lower than the remaining options.
Chocolate O's (3/10 or 0.3): This cereal has a higher probability than Wheat O's but lower than the last remaining option.
Corn O's (0.113): Among the given options, Corn O's has the highest probability and is the most likely to be chosen.
So, the cereals ranked from least likely to be chosen to most likely to be chosen are: Bran O's, Rice O's, Wheat O's, Chocolate O's, and Corn O's.
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Find all the zeros and multiplicities. Provide explanation. r(x)=x^2(x+5)(x-7)^3
Answer:
what do you mean by find all the zeros and multiplicities, you have me confused on that part, if you explain that part a little more then I might be able to help you out a little bit M8
In 1983, a pair of jeans cost $66.35. If a pair of jeans costs $118.10 today, what is the CPI? a. 152 b. 156 c. 178 d. 184 Please select the best answer from the choices provided A B C D
The value of CPI will be 178.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
In 1983, a pair of jeans cost $66.35.
And, A pair of jeans costs $118.10 today.
Now,
Since, In 1983, a pair of jeans cost $66.35.
And, A pair of jeans costs $118.10 today.
Hence, The value of CPI will be;
CPI = 118.10 × 100 / 66.35
= 11810 / 66.35
= 178
Thus, The value of CPI will be 178.
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How much water is wasted by the leaky faucet in 1 day? (6 points: 2 points for each answer, including showing your work for each answer)
Answer: To answer this question, we would need to know the rate of water flow through the leaky faucet and the duration of time it leaks for. Without this information, it is not possible to calculate how much water is wasted in a day.
For example, if we assume that the leaky faucet drips once every second and each drip is equivalent to 0.25 milliliters of water, we can calculate the amount of water wasted in a day as follows:
1 day = 24 hours x 60 minutes/hour x 60 seconds/minute = 86,400 seconds
Number of drips in a day = 86,400 seconds x 1 drip/second = 86,400 drips
Amount of water wasted in a day = 86,400 drips x 0.25 milliliters/drip = 21,600 milliliters = 21.6 liters
Therefore, if the leaky faucet drips once every second and each drip is equivalent to 0.25 milliliters of water, it would waste approximately 21.6 liters of water in a day.
However, it is important to note that the rate of water flow through a leaky faucet can vary widely, so this is just one example calculation.
Step-by-step explanation:
In the trapezoid below, DE is parallel to AB. If CE = 6, AC = 6.4, and
DC = 4, find the length of CB. Figures are not necessarily drawn to scale.
E
D
-
А
B
Answer:
Hi po the answer is ab
Step-by-step explanation:
hope it help
Answer:
hope its help
Step-by-step explanation:
godblesscarry on learningSuppose you invest $500 at an annual interest rate
of 3.9% compounded continuously. how much will
you have in the account after 4 years?
Answer:
$584.41
Step-by-step explanation:
From this information, we can write the following equation:
\(P = 500(e)^{0.039t\) where t is the number of years.
To find out the amount after 4 years, we can simply plug in 4 for t:
\(P = 500(e)^{0.039(4))\\\)
≈ $584.41
Answer:
$584.41
Step-by-step explanation:
From this information, we can write the following equation:
where t is the number of years.
To find out the amount after 4 years, we can simply plug in 4 for t:
≈ $584.41
7) A cylindrical pipe has a circumference of 16 cm. Calculate the diameter of the pipe
Answer:
pi×diamiter = circumference
pi÷circumference = diamiter
3.14159265358979 (pi) ÷ 16
Step-by-step explanation:
please help me!!!!!!
Answer:
5 I think
Step-by-step explanation:
Since -2 is less than -1, then we'll choose the first equation, f(x) = x² + 1
f(-2) = (-2)² + 1
= 5
suppose that 6 j of work is needed to stretch a spring from its natural length of 26 cm to a length of 36 cm. (a) how much work is needed to stretch the spring from 30 cm to 32 cm? (round your answer to two decimal places.) 0.6 incorrect: your answer is incorrect. j (b) how far beyond its natural length will a force of 20 n keep the spring stretched? (round your answer one decimal place.)
(a)The amount of work needed to stretch the spring from 30 cm to 32 cm is 0.6 J. (b) The distance the spring will be stretched by a 20 N force is 0.03 m.
The formula for the force needed to keep a spring stretched beyond its natural length is F = kx where F is the force, k is the spring constant, and x is the distance from the spring's natural length. The spring constant k is given by the formula: k = (Wd)/x² where W is the work done, d is the distance the spring is stretched from its natural length, and x is the distance from the spring's natural length.
Substituting the values for W, d, and x gives: k = (6 J)/(0.10 m)²
k = 600 N/m
Using the formula F = kx and substituting the values for F and k gives: 20 N = (600 N/m)x
Solving for x gives: x = (20 N)/(600 N/m)
x = 0.0333 m.
Hence, the correct answer is 0.03 m.
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You pick a card at random. 4 5 6 7 What is P(4 or less than 6)? Write your answer as a percentag
Answer:
50%
Step-by-step explanation:
Only 4 and 5 can be considered because 6 is not included, so the probability would be 2/4, or 50%.
Answer: 50%
Step-by-step explanation: It says if you pick a random card that is less than 6 or 4. That means that 4 and 5 are the ones you hope to get. 2/4 = 50%.