Answer:
0.23 repeating
Step-by-step explanation:
Create a scale model to illustrate the equation 5b + 2 = 22. What is the value of b and why?
PLEASE HELP ME IT WILL BE GREAT IF U DO
Answer:
b=4
Explanation and how to do the model
5b+2=22
-2 -2 by subtractive property of equality
5b/5=20/5 by division property of equality
b=4
As for the model, it would be great if you could specify what your teacher is looking for and I'll help you from there
Regression analysis has been used to calculate the line of best fit from a series of data. Using this line to predict a value which lies between the two extreme values
observed historically is known as extrapolation.
Is this statement TRUE or FALSE?
The statement is TRUE. Extrapolation in regression analysis refers to using the line of best fit to predict values that lie outside the range of the observed data.
It involves extending the regression line beyond the observed data points to estimate values for variables that are beyond the range of the data. However, it's important to note that extrapolation can be risky because it assumes that the relationship between the variables continues outside the observed range, which may not always be valid. Extrapolation should be done with caution and its results should be interpreted carefully.
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The quadratic equation 4x2 + 45x + 24 = 0 was solved using the Quadratic Formula, x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a. One solution is −10.69. What is the other solution? Round to the hundredths place.
Answer:
The other solution is 0.56
Step-by-step explanation:
The quadratic equation is;
4x^2 + 45x + 24
a is the coefficient of x^2 which is 4
b is the coefficient of x which is 45
c is the third number which is 24
Using the quadratic formula, we have
x = {-b ± √(b^2-4ac)}/2a
So inputing the values we have highlighted above, we have
x = {-45 ± √(45^2-4(4)(24)}/2(4)
x = {-45 ± √(2025-4(4)(24)}/2(4)
x = {-45 ± √1641}/2(4)
x = {-45 ± 40.51}/2(4)
x = (-45+40.51)/8 or (-45-40.51)/8
x = 0.56 or -10.69
Answer:
-0.56
Step-by-step explanation:
The guy above was nearly correct, not correct. He said it was positive when it is actually negative.
Hope this helps!
Can anyone help?? PLEASE!!!!
Answer:
yes, 2.79
Step-by-step explanation:
5$- 1.15(broccoli) = 3.85
3.85-1.06(2lemons)=2.79
Answer: Yes Cameron will have money left over. He will have $2.79 left over.
Step-by-step explanation: 2 lemons = 1.06
1.06 + 1.15 = 2.21
5.00 - 2.21 = 2.79
Classify each number below as a rational number or an irrational number.
In a litter of five puppies, what is the probability of getting
two males and three females, assuming an even chance for
each gender?
1
(A) 32
(B) 0.031
1
(C) 16
5
(D) 16
(E) 4
Answer:
5/16
Step-by-step explanation:
Use binomial probability:
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
Let's say r is the number of male puppies.
n = 5, r = 2, p = 0.5, and q = 0.5.
P = ₅C₂ (0.5)² (0.5)³
P = 5/16
The probability of getting two males and three females, assuming an even chance for each gender is \(\frac{5}{16}\).
Given that,
In a litter of five puppies.There is two males and three females, assuming an even chance for each gender.Based on the above information, the calculation is as follows:
Here we use binomial probability:
\(P = ^nC_r p^r q^{n-r}\)
Here n denotes the number of trials,
r denotes the number of successes,
p denotes the probability of success,
and q denotes the probability of failure (1−p).
Let's us assume the r be the number of male puppies.
Now
n = 5, r = 2, p = 0.5, and q = 0.5.
So, put the values
So,
\(P = ^5C_2 (0.5)^2 (0.5)^3\)
= \(5 \div 16\)
Therefore we can conclude that the probability of getting two males and three females, assuming an even chance for each gender is \(\frac{5}{16}\).
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what is the mean value of the sample with the standard deviation of 13, if the value of 128 has the z-score of 3?
Answer:
Step-by-step explanation:
im sorry cant help but i hope you have a gate day heres a quote "you can do any thing if you believe you can achieve so go go go!!!!!
The mean value of the sample is 89.
Standard deviation = 13.
We are given that a value of 128 has a z-score of 3.
Use the formula for z-score:
z = (x - μ) / σ
where:
x is the value of interest (in this case, x = 128)
μ is the mean of the sample
σ is the standard deviation of the sample
mean = x - z-score * standard deviation
mean = 128 - 3 * 13
mean = 89
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Someone please help?
Answer:
I think it's C the third answer choice
Step-by-step explanation:
At the deli, 2 turkey subs and 5 veggie subs cost $29. 4 turkey subs and 3 veggie subs cost
$30.
a) Create a linear system to model the equation. Include let statements
b) Solve the linear system to find the cost of a turkey sub and the cost of a veggie sub.
Answer:
4/9 of sales are veggie 5/9 are turkey
4/(4+5)=4/9
5/(4+5)= 5/9
4/9 x 27 = 12
5/9 x 27 = 15
12 veggie subs sold and
15 turkey subs sold
12+15=27 total sold
Step-by-step explanation:
help me please!!! :)
Answer:
D
Step-by-step explanation:
f(x) = x^2+1 at x=-1, f(-1)=1+1=2
please help me with this its math!!
2 Use a five-variable Karnaugh map to find the minimized SOP 15 expression for the following logic function: F(A,B,C,D,E) = Σm(4,5,6,7,9,11,13,15,16,18,27,28,31)
The minimized Sum of Products (SOP) expression for the given logic function F(A, B, C, D, E) with the specified minterms is obtained as f(A, B, C, D, E) = A'BCD'E' + A'B'C'D'E + A'BC'D'E + ABCD'E.
To find the minimized SOP expression using a five-variable Karnaugh map, we first plot the minterms on the map. The minterms are given as m(4,5,6,7,9,11,13,15,16,18,27,28,31). Next, we group adjacent 1s on the Karnaugh map to form groups of 2, 4, 8, or 16 cells. Each group represents a term in the minimized SOP expression.
After grouping the 1s on the Karnaugh map, we can identify the essential prime implicants, which are the groups that cover a single minterm. In this case, the group covering m(31) is an essential prime implicant.
Next, we fill in the remaining cells that are not covered by the essential prime implicant with 1s and group them to form additional terms. We can choose the groups that cover the remaining minterms while minimizing the number of terms in the expression.
Using these groups, we can generate the minimized SOP expression, which is f(A, B, C, D, E) = A'BCD'E' + A'B'C'D'E + A'BC'D'E + ABCD'E. This expression represents the logic function F(A, B, C, D, E) with the given minterms in a minimized form using the Sum of Products (SOP) representation.
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captain rusczyk tracked down a pirate who had stolen $2345 {6}$ dollars worth of goods from his ship. after winning an epic duel, the captain demands that the pirate return $41324 {5}$ dollars. how much has the pirate gone in debt due to his encounter with rusczyk? express your answer in base $10$.
The pirate has gone into debt by $38,979 in base 10 due to his encounter with Captain Rusczyk.
To determine the amount of debt, we need to calculate the difference between the value of the goods the pirate stole and the amount demanded by Captain Rusczyk. The pirate initially stole $2345_6, which means it is in base 6. Converting this to base 10, we have $2\times6^3 + 3\times6^2 + 4\times6^1 + 5\times6^0 = 2\times216 + 3\times36 + 4\times6 + 5\times1 = 432 + 108 + 24 + 5 = 569$.
Captain Rusczyk demanded $41324_5, which means it is in base 5. Converting this to base 10, we have $4\times5^4 + 1\times5^3 + 3\times5^2 + 2\times5^1 + 4\times5^0 = 4\times625 + 1\times125 + 3\times25 + 2\times5 + 4\times1 = 2500 + 125 + 75 + 10 + 4 = 2714$.
Therefore, the pirate has gone into debt by $569 - 2714 = -2145$. Since the pirate owes money, we consider it as a negative value, so the pirate has gone into debt by $38,979 in base 10.
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You stand on a street corner and record the gender of the first twelve people who pass by. if the city is half male and half female, what is the probability that you will record all females?
The probability is 6.
Probability is the possibility of an event occurring. We can scale the probability of an event between 0 and 1. 0 refers to an improbable event, and one refers to an event with the highest possibility. The type of probability we will use to solve this problem is the geometric distribution.
The geometric distribution is defined as a discrete probability distribution representing the probability of consecutive failures before success in a Bernoulli trial. There could be only two possible outcomes; either True (1) or False (0).
Bernoulli's trial is an experiment in which we have only two possible outcomes, success or failure. In other words, the geometric distribution repeats Bernoulli trials until it succeeds, then stops. So, achieving success is the ultimate goal and is the point that stops Bernoulli's trials from happening further.
Geometric distribution, the class of probability distributions, is based on three key assumptions, and these assumptions are defined as:
The studies conducted are independent. Each event is independent of the other.Each attempt has only two outcomes: success or failure. If an event has any other possible outcome other than 0 and 1, it can not be classified as a Bernoulli trial.The probability of success, indicated by p, is the same for each trial.Now for our given problem, we stand on a street corner and record the gender of the first twelve people who pass by. The condition here is the city is half male and half female. Now to find the probability, we will consider the possibility of each of the twelve events. Since half of the population is Female, the probability of one single event is;
p = 1/2 (50 %)
The overall probability is the sum of all the individual probabilities:
P ( ALL FEMALE)
= 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2
= 6
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Reece tells Clay that when the area defined by Triangle DEF dries out, it becomes covered with native grasses and plants. What is the area of this section? Round intermediate results to 3 decimal places and the final answer to 1 decimal place.
Answer:
im trying to figure out give me like 3 minutes
Step-by-step explanation:
Need answers with explanation
Step-by-step explanation:
i guess it helps..if yuh need step by step explanation.comment i try to explain in worda
1. A spinner is divided into six equally sized regions. Two of the regions are labeled 6, two of the regions are labeled 2, one region is labeled 1, and the last region is labeled 3. The spinner is spun 750 times.
(a) How many times is the spinner expected to land on 6?
(b) How many times is the spinner expected to land on a prime number?
MAKE SURE YOU SHOW YOUR WORK
Answer:
a) 250
b) 125
Step-by-step explanation:
For a, the answer is 250 because if 2 regions are labelled 6, and there are 6 regions, and the spinner is spun 750 times, then we will multiply 2 by 750 and divide the answer by 6.
2 x 750 = 1500
1500/6 = 250
Now, for b, the answer is 125 because 3 is the only prime number there and only one region is labelled 3. So we multiply 1 by 750 (which is 750) and divide by 6.
750/6 = 125.
a = 250
b = 125
Brian goes to schol 6 hours per day, works 4 hours perday, and sleeps for 9 hours per day. What is the ratio of hours Brian works to hours Brian sleeps?
The ratio of hours Brian works to hours Brian sleeps is 4/9.
What is ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Brian goes to school 6 hours per day, works 4 hours per day, and sleeps for 9 hours per day.
So, the ratio of hours Brian works to hours Brian sleeps
= 4/ 9
Hence, the ratio is 4/9.
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Michelle lives 2.7 km from school, Last year she made 150 round trips from her home to school and back, riding her bike. How far did she ride altogether?
Michelle rode an altogether distance of 810 kilometers from her home to school and back, riding her bike.
What is Average speed?Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.
We have been given that Michelle lives 2.7 km from school, Last year she made 150 round trips from her home to school and back, riding her bike.
According to the given condition, the required solution would be as:
Total distance rode by her = 150 × 2 × 2.7
Total distance rode by her = 300 × 2.7
Apply the multiplication operation, we get
Total distance rode by her = 810 kilometers
Therefore, Michelle rode an altogether distance of 810 kilometers.
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Questions are from: Gerald and Wheatly, Applied Numerical Analysis 1) 10. A sky diver jumps from a plane, and during the time before the parachute opens, the air resistance is propor- tional to the power of the diver's velocity. If it is known that the maximum rate of fall under these condi- tions is 80 mph, determine the diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2. Neglect horizontal drift and assume an initial velocity of zero.
The diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.
Given data: Initial velocity, u = 0 ft/sec
Acceleration, a = g = 32.2 ft/sec²
The maximum rate of fall, vmax = 80 mph
Time, t = 2 seconds
Air resistance constant, Ar = 0.2
We are supposed to determine the sky diver's velocity during the first 2 seconds of fall using the modified Euler method.
The governing equation for the velocity of the skydiver is given by the following:
ma = -m * g + k * v²
where, m = mass of the skydive
r, g = acceleration due to gravity, k = air resistance constant, and v = velocity of the skydiver.
The equation can be written as,
v' = -g + (k / m) * v²
Here, v' = dv/dt = acceleration
Hence, the modified Euler's formula for the velocity can be written as
v1 = v0 + h * v'0.5 * (v'0 + v'1)
where, v0 = 0 ft/sec, h = 2 sec, and v'0 = -g + (k / m) * v0² = -g = -32.2 ft/sec²
As the initial velocity of the skydiver is zero, we can write
v1 = 0 + 2 * (-32.2 + (0.2 / 68.956) * 0²)0.5 * (-32.2 + (-32.2 + (0.2 / 68.956) * 0.5² * (-32.2 + (-32.2 + (0.2 / 68.956) * 0²)))
v1 = 62.732 mph
Therefore, the skydiver's velocity during the first 2 seconds of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.
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can answer this please
Answer:
\( \frac{a}{b} = \frac{3}{2} \)
Step-by-step explanation:
Since both the triangles are similar, so their corresponding sides would be in proportion.
Therefore,
\( \frac{a}{b} = \frac{2.1}{1.4} \\ \\ \frac{a}{b} = \frac{3}{2} \)
Use the properties of equality to find the value of x, in the equation 12(5x-4. 5)=36
Step-by-step explanation:
12(5x - 4.5) = 36
if that is really correct, then we solve this first by dividing both sides by 12
5x - 4.5 = 3
then we add 4.5 to both sides
5x = 7.5
and finally we divide both sides by 5
x = 1.5
Based on the table, which function represents the same relationship?
(picture included)
feiann,trxy and Mcfel received apples from their mother. They have agreed that they will share the apples into 3:4:5 parts respectively. how many apples will each get.
please help me for my question
Using proportions, and considering that they received 36 apples, it is found that:
Feiaan receives 9 apples.Trxy receives 12 apples.Mcfel receives 15 apples.Proportions:They have agreed that they will share the apples into 3:4:5 parts respectively, hence:
Feiaan receives \(\frac{3}{3 + 4 + 5} = \frac{3}{12} = \frac{1}{4}\) of the total amount.Trxy receives \(\frac{4}{3 + 4 + 5} = \frac{4}{12} = \frac{1}{3}\) of the total amount.Mcfel receives \(\frac{5}{12}\) of the total amount.Then:
\(\frac{1}{4}(36) = 9\)
\(\frac{1}{3}(36) = 12\)
\(\frac{5}{12}(36) = 5 \times 3 = 15\)
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Problem 1. The steady-state response of a damped, linear system to a sinusoidal input U sin(ωt) takes the form xss(t) = X sin(ωt + φ)
If φ < 0, the output is said to "lag" the input whereas, if φ > 0, the output is said to lead the input. Consider the following first order LTI ODE with forcing:
˙x + 5x = 2sin(10t)
What is the steady-state amplitude X and the steady-state phase φ? Plot input versus time and output versus time on the same plot. (You may use a computer if you prefer, but a neat hand-sketch is acceptable.) Does the steady-state response xss(t) lead or lag the input?
The steady-state amplitude is X = 2/√(29) and the steady-state phase is φ = -tan^(-1)(10/√29), the steady-state response xss(t) lags the input.
The steady-state response of the given system is a sinusoidal function with amplitude X and phase φ. Using the formula for steady-state response, we can find the values of X and φ for the given system. The output is said to lag the input if the phase is negative, which is the case here. We can plot the input and output versus time on the same graph to visualize the lag.
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Find the volume of the solid generated by revolving the region bounded by the lines and curves y y=0, x=4, and x = 11 about the x-axis. The volume is (Type an exact answer, using x as needed.)
The volume of the solid is 64π/3.
We have to use the disk method formula to find the volume of the solid generated by revolving the region bounded by the lines and curves y y=0, x=4, and x = 11 about the x-axis.
The disk method formula is given by:
V= π ∫[a,b]R²(y)
where R(y) is the distance from the axis of revolution to the curve, y is the variable of integration, and [a, b] is the interval of integration.
Let's find the distance from the axis of revolution (x-axis) to the line x = 4 and x = 11.
The radius of the disk when x = 4 is 4 units.
The radius of the disk when x = 11 is 11 units. ∵ y is bounded by the line y = 0∴ limits of integration are 0 to the curve, which is x = 4.
Limits of integration: 0 to 4.
Now, let's put these values in the formula.
V= π ∫[a,b]R²(y)dyV = π ∫[0,4]R²(y)dyV = π ∫[0,4](4² - y²)dy= π [4²y - (y³/3)] [0,4]V = π [(4² * 4) - (4³/3) - 0]= 64π/3
Thus, the volume of the solid generated by revolving the region bounded by the lines and curves y y=0, x=4, and x = 11 about the x-axis is 64π/3.
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Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
7.8
Step-by-step explanation:
1. 5^2 +6^2=x^2
2. 25+36 = x^2
3. 61=x^2
4. \(\sqrt{61}\) = 7.8
giúp tớ giải bài toán này với
Answer:
english pls
Step-by-step explanation:
end of each of the next 20
Suppose you earned a $555,000 bonus this year and invested it at 8.25% per year. How much could you withdraw
years?
Select the correct answer.
a. $57,592.18
b. $57,500.68
c. $57,575.18
d. $57,609.18
e. $57,583.68
Answer:
Annual withdraw= $57,583.68
Step-by-step explanation:
Giving the following information:
Present Value (PV)= $555,000
Interest rate (i)= 0.0825
Number of periods (n)= 20
To calculate the annual withdrawals, we need to use the following formula:
Annual withdraw= (PV*i) / [1 - (1+i)^(-n)]
Annual withdraw= (555,000*0.0825) / [1 - (1.0825^-20)]
Annual withdraw= $57,583.68
DO NOT IGNORE..can we combine a high quality of life with environmental sustainability?
Answer:
Therefore, sustainable development aims at sustaining the present level of resources and providing the present generation with good quality life where good quality of life refers to standard living with all necessary and basic needs.
Step-by-step explanation: