Answers
Answer: 8 or 2
Step-by-step explanation:
(x-5)^2=9
First square both sides to get rid of the power
(X-5)=3
Now add 5 to 3
X=8
Rearranging
(5-x)=3
Subtract 5 from 3=-2
-x=-2
so
X=2
Related Questions
find the circumference and the area of the circle with a diameter of 15ft
Answers
Answer:
Circumference is pi times diameter so that would equal 15 pi. The formula to find the area of a circle is A=pi * r^2 So you divide 15 by 2 to find the radius. r=7.5 Then you square it and multiply it by pi and get 56.25pi which is about equal to 176.715
(A lot of points to whoever can help me out!!) I need help with this!!
Answers
The completed statements with regards to the compound interest of the amount in the account are;
If the account has a 5% interest rate and is compounded monthly, you have $101.655 million money after 2 years
If the account has a 5% interest rate compounded continuously, you would have $106.096 million money after 2 years
What is the compound interest on an amount?Compound interest is the interest calculated based on the initial amount and the accumulated interests accrued from the periods before the present.
The compound interest formula indicates that we get;
\(A = P\cdot (1 + \frac{r}{n}) ^{n\cdot t}\)
Where;
P = The principal amount invested = $92 million
r = The interest rate = 5% monthly
n = The number of times the interest is compounded per annum = 12
t = The number of years = 2 years
Therefore; \(A = 92\cdot (1 + \frac{0.05}{12}) ^{12\times 2}\approx 101.655\)
The amount in the account after 2 years is therefore about $101.655 million
The formula for the amount in the account if the principal is compounded continuously, we get;
A = \(P\cdot e^{(r\cdot t)}\)
Therefore, we get;
\(A = 96 \times e^{0.05 \times 2} \approx 106.096\)
The amount in the account after 2 years, compounded continuously therefore, is about $106.096 million
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Suppose int i = 5, which of the following can be used as an index for array double[] t=new double[100]? A. i B. I +6.5 C.1 + 10 D. Math.random() * 100 E. (int)(Math.random() * 100))
Answers
The options that can be used as indices for the array are option A (i) and option E ((int)(Math.random() * 100)).
To determine which expressions can be used as an index for the array double[] t = new double[100], let's evaluate each option :
A. i: Since i is an integer variable with a value of 5, it can be used as an index because it falls within the valid index range of the array (0 to 99).
B. I + 6.5: This expression adds 6.5 to the variable i. Since array indices must be integers, this expression would result in a double value and cannot be used as an index.
C. 1 + 10: This expression evaluates to 11, which is an integer value and can be used as an index.
D. Math.random() * 100: The Math.random() function returns a double value between 0.0 (inclusive) and 1.0 (exclusive). Multiplying this value by 100 would still result in a double value, which cannot be used as an index.
E. (int)(Math.random() * 100): By multiplying Math.random() by 100 and casting the result to an integer, we obtain a random integer between 0 and 99, which falls within the valid index range and can be used as an index.
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I'm working on a question on data structures and algorithms.
Prove that the algorithm given below is correct using the loop invariant theorem. Also, state the choice of loop invariant.
The algorithm is as follows:
(1) initialize j = 0.
(2) While j ≤ m, do:
i. Increment j.
ii. If j divides m, output j.
Answers
The algorithm is correct and can be proven using the loop invariant theorem. The loop invariant for this algorithm is that at the start of each iteration of the loop, the value of j is a divisor of m.
To prove the correctness of the algorithm using the loop invariant theorem, we need to establish three properties: initialization, maintenance, and termination.
Initialization: Before the loop starts, j is initialized to 0. At this point, the loop invariant holds because 0 is a divisor of any positive integer m.
Maintenance: Assuming the loop invariant holds at the start of an iteration, we need to show that it holds after the iteration. In this algorithm, j is incremented by 1 in each iteration. Since j starts as a divisor of m, adding 1 to j does not change its divisibility property. Therefore, the loop invariant is maintained.
Termination: The loop terminates when j becomes greater than m. At this point, the loop invariant still holds because j is not a divisor of m. Thus, the loop invariant is maintained throughout the entire execution of the algorithm.
Since the initialization, maintenance, and termination properties hold, we can conclude that the algorithm is correct. The loop invariant, in this case, is that at the start of each iteration, the value of j is a divisor of m.
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there are 21 colored balls sindhu took 4/7 rosey took 1/7 and ritesh took 2/7 who took the least numbers of balls
Answers
Answer in the photo
3. What is the ratio of 1 m to 1 cm?
(A) 1 : 10
(B) 10:1
(C) 1 : 100
(D) 100 : 1
Answers
Please solve this as soon as possible
Answers
Answer:
Below in bold.
Step-by-step explanation:
The total sum of the numbers in A is 124 and the sum of the numbers in B = 56
Let x be the number passed from A to B, then from the given information:
124 - x = 56 + x + 20
124 - 56 - 20 = 2x
48 = 2x
x = 24.
a) So the number passed is 24.
b) Sum of numbers in B = 56 + 24 = 80.
c) Let pencil cost x then pen will cost 1.1 - x.
Now the pen costs 1 pound more than the pencil
so 1.1 - x - x = 1
-2x = -0.1
x = 0.05.
So the pen costs 1.1 - 0.05 = £1.05.
Using the function g(x) = -2x + 5, what would the input need to be for an output of -5?
-5
15
0
5
Answers
Answer:
it would be -5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
g(x) = - 2x + 5
Then
g(x) = - 5
- 2x + 5 = - 5
- 2x = - 5 - 5
- 2x = - 10
x = 10 / 2
x = 5
use the second derivative test for concavity and the phase line to produce a phase portrait and sketch one typical solution curves in each region determined by the equilibrium solutions
Answers
if the second derivative is negative, then the first derivative is decreasing, Graphically, we see this as the curve. of the graph being concave down, that is, shaped like a parabola open downward.
The second derivative tells whether the curve is concave up or concave down at that point. If the second derivative is positive at a point, the graph is bending upwards at that point. Similarly if the second derivative is negative, the graph is concave down.
When second derivative is positive concavity?
If the second derivative is positive at a point, the graph is concave up at that point. If the second derivative is positive at a critical point, then the critical point is a local minimum. If the second derivative is negative at a point, the graph is concave down.
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There are 200 counters in a bag 4/5 of the counters are red 5% are blue and the rest are green how many green counters are there in the bag
Answers
10 are blue
so that is 170 and 200-170=30
there are 30 green
Answer:
30
Step-by-step explanation:
4/5=80%
80% of 200=160
5% of 200=10
80+5=85
100-85=15
15% of 200=30
PLEASE HELP!! WILL GIVE BRAINLEST!!
Find the value of x
Answers
Which number has the smallest value?
A 3.0
B 5
-
7
C. 4
-
9
D 62%
Answers
Answer:
C. 4 - 9
= - 5 is the correct answer .
thank you ☺️☺️
In a binomial situation, n = 4 and pi =.25. Determine the probabilities of the following events using the binomial formula. x = 2 x = 3 In a binomial situation, n - 5 and pi =.40. Determine the probabilities of the following events using the binomial formula. x = 1 x = 2 Assume a binomial distribution where n = 3 and pi =.60. Refer to Appendix B.9 and list the probabilities for values of x from 0 Determine the mean and standard deviation of the distribution from th al defi- nitions given in formulas (6-1) and (6-2).
Answers
If in a binomial situation, n = 4 and pi =.25. the mean of the distribution is 1.8 and the standard deviation is 0.84.
What is the mean and standard deviation?In a binomial situation where n = 4 and pi = 0.25, the probabilities of the following events using the binomial formula are:
a) P(x = 2) = (4 choose 2)(0.25)^2(0.75)^2 = 0.421875
b) P(x = 3) = (4 choose 3)(0.25)^3(0.75)^1 = 0.31640625
In a binomial situation where n = 5 and pi = 0.40, the probabilities of the following events using the binomial formula are:
a) P(x = 1) = (5 choose 1)(0.40)^1(0.60)^4 = 0.3456
b) P(x = 2) = (5 choose 2)(0.40)^2(0.60)^3 = 0.3456
In a binomial distribution where n = 3 and pi = 0.60, the probabilities for values of x from 0 to 3 can be calculated using the binomial formula:
P(x = 0) = (3 choose 0)(0.60)^0(0.40)^3 = 0.064
P(x = 1) = (3 choose 1)(0.60)^1(0.40)^2 = 0.288
P(x = 2) = (3 choose 2)(0.60)^2(0.40)^1 = 0.432
P(x = 3) = (3 choose 3)(0.60)^3(0.40)^0 = 0.216
To find the mean and standard deviation of the binomial distribution where n = 3 and pi = 0.60, we can use the following formulas:
Mean (μ) = n * pi = 3 * 0.60 = 1.8
Standard deviation (σ) = sqrt[n * pi * (1 - pi)] = sqrt[3 * 0.60 * (1 - 0.60)] = 0.84
Therefore, the mean of the distribution is 1.8 and the standard deviation is 0.84.
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Each person in a simple random sample of 1,200 received a survey, and 325 people returned their survey. How could nonresponse cause the results of the survey to be biased?
Those who did not respond reduced the sample size, and small samples have more bias than large samples.
Those who did not respond may differ in some important way from those who did respond.
Those who did not respond caused a violation of the assumption of independence.
Those who did not respond are indistinguishable from those who did not receive the survey.
Those who did not respond represent a stratum, changing the random sample into a stratified random sample.
Answers
The nonresponse caused the results of the survey to be biased as C. Those who did not respond caused a violation of the assumption of independence.
How to illustrate the sampling?It should be noted that each person in a simple random sample of 1,200 received a survey, and 325 people returned their survey. How could nonresponse cause the results of the survey to be biased?
In this case, the nonresponse caused rhe results of the survey to be biased as those who did not respond caused a violation of the assumption of independence. Those who did not respond may differ in some important way from those who did respond
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what is 9000000000x 13/6 minus 8 Plus 1329+1
Answers
Answer:
19500001322
Step-by-step explanation:
hope this helps
A triangle has two sides of length 1 and 4. What is the largest possible whole-number length
for the third side?
Answers
Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.
How to Apply the Triangle Inequality Theorem to Find the Length of the Third Side of a Triangle?The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.
So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:
1 + 4 > x
4 + x > 1
1 + x > 4
Simplifying these inequalities, we get:
5 > x
x > 3
x > -3 (this inequality is always true)
The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.
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Find the derivative: h(x) = S√x 1 (z²/z⁴+1)dz
Answers
The derivative of h(x) is h'(x) = √x²+1.
To find the derivative of h(x), we can apply the Leibniz rule, which states that if the upper limit of the integral is a function of x, then we need to differentiate both the integrand and the limits of integration. Using this rule, we get:
h'(x) = (√x²+1)(z²/z⁴+1) ∣ z=1 - (1²/1⁴+1) ∣ z=√x
To simplify this expression, we need to evaluate the limits of integration and simplify the integrand. First, we evaluate the limits of integration:
√x → 1: (z²/z⁴+1)dz = arctan(z) ∣ z=√x → 1 = arctan(1) - arctan(√x)
1 → 1: (z²/z⁴+1)dz = arctan(z) ∣ z=1 → 1 = arctan(1) - arctan(1) = 0.
Now, we can simplify the expression for h'(x):
h'(x) = (√x²+1)(1) - 0 = √x²+1.
Therefore, the derivative of h(x) is h'(x) = √x²+1.
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Burger Dome is a fast-food restaurant currently appraising its customer service. In its current operation, an employee takes a customer's order, tabulates the cost, receives payment from the customer, and then fills the order. Once the customer's order is filled, the employee takes the order of the next customer waiting for service. Assume that time between each customer's arrival s an exponential random variable with a mean of 1.35 minutes. Assume that the time for the employee to complete the customer's service an exponential random variable with mean of 1 minute. Use the Burgerdome file to complete a simulation model for the waiting line at Burger Dome for a 14-hour workday. Note that you will need to use native Excel functionality to solve this problem because the educational version of ASP has a limit of 100 random variables. Recall the formula 5LN(RANDO) (-m) generates a value for an exponential random variable with mean m Refer to the Burger Dome analysis in Problem 16. Burger Dome wants to consider the effect of hiring a second employee to serve customers (in parallel with the first employee). Use the Burgerdometwoservers file to complete a simulation model that accounts for the second employee. (hint: The time that a customer begins service will depend on the availability of employees.) What is the impact of this change on the output measures?
Answers
I apologize for the confusion, but as a text-based AI, I'm unable to access or interact with specific files or perform simulations using native Excel functionality. Additionally, I don't have access to the specific "Burgerdometwoservers" file mentioned in the question.
However, I can provide you with a general explanation of the impact of hiring a second employee in a waiting line system like Burger Dome based on common principles of queueing theory.
When a second employee is added to serve customers in parallel with the first employee, it can have several impacts on the output measures:
Waiting Time: The average waiting time for customers is expected to decrease because there are now two employees available to serve customers simultaneously. This allows for more efficient processing of customer orders and reduces the overall waiting time.
Service Time: With two employees, the average service time per customer may also decrease. Since there are two employees working, each customer can be served by one of the employees, resulting in a shorter time spent on each customer's service.
Queue Length: The presence of a second employee may also lead to a reduction in the length of the waiting line or queue. With two employees serving customers, the queue is expected to move faster, reducing the number of customers waiting in line.
System Utilization: The utilization of the system, which refers to the percentage of time that the employees are busy serving customers, may increase with the addition of a second employee. This is because the workload is distributed between two employees, reducing the idle time.
Overall, hiring a second employee in a waiting line system like Burger Dome can lead to improved customer service by reducing waiting times, decreasing queue lengths, and increasing system efficiency. However, the specific impact on output measures would depend on various factors such as the arrival rate of customers, the service times, and the coordination between the employees.
I need help please. I would like someone to make sure I have the right answer .
Answers
The Y-intercept is positive 10
When plugged into point-slope (y=mx + b), b= +10
Find the present value of payments at the end of each quarter of
$245 for ten years with an interest rate of 4.35% compounded
monthly.
Answers
The present value of payments at the end of each quarter of $245 for ten years with an interest rate of 4.35% compounded monthly is approximately $25,833.42.
To find the present value of the payments, we can use the present value formula for an ordinary annuity. The formula for the present value of an ordinary annuity is:
PV = PMT * ((1 - (1 + r)^(-n)) / r)
Where:
PV = Present Value
PMT = Payment amount
r = Interest rate per period
n = Number of periods
In this case, the payment amount is $245, the interest rate is 4.35% compounded monthly, and the number of periods is 10 years or 40 quarters (since there are 4 quarters in a year).
Let's plug in the values into the formula:
PV = $245 * ((1 - (1 + 0.0435/12)^(-40)) / (0.0435/12))
First, let's simplify the exponent part:
(1 + 0.0435/12)^(-40) ≈ 0.617349
Now, let's plug in the values and calculate:
PV = $245 * ((1 - 0.617349) / (0.0435/12))
PV = $245 * (0.382651 / 0.003625)
PV = $245 * 105.4486339
PV ≈ $25,833.42
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Calculate the volume of the following object:
Answers
Answer:
262.44 cubic metres.
Step-by-step explanation:
First, we can calculate the volume of the cylinder by doing pi * r^2 * h. In this case, r is 5 / 2 and h is 7.
pi * (5/2)^2 * 7 = pi * 25/4 * 7 = pi * 6.25 * 7 = pi * 43.75 = 3.14159265 * 43.75 = 137.4446784 cubic m.
Seconds, we calculate the volume of the cube. It is 5^3 = 5 * 5 * 5 = 25 * 5 = 125 cubic m.
137.4446784 + 125 = 262.4446784, which is about 262.44 cubic metres.
Hope this helps!
Answer:
5*5*5=125
volume of cylinder=137.44
137.44+125=262.44
Step-by-step explanation:
Can you form a right triangle with the three lengths given? Why or why not? 5 cm, 12 cm, 13 cm
Answers
Yes, I form a right triangle with the three lengths given, because The largest side which is 13cm can be squared and will be set to equal to the sum of squares of smaller two side.
What is a right-angled triangle?A right-angled triangle serves as the triangle having one of its angles equal to 90 degrees.
It should be noted that the other two angles sum up to 90 degrees., hence I form a right triangle with the three lengths given, because The largest side which is 13cm can be squared and will be set to equal to the sum of squares of smaller two side.
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At an art camp, students must specialize in one artistic medium. 4 students specialized in photography last summer, while 16 students specialized in other areas. What is the probability that a randomly chosen student specialized in photography
Answers
The probability of choosing a student who specialized in photography is 0.2 or 20%.
To calculate the probability that a randomly chosen student specialized in photography, follow these steps:
1. Determine the total number of students at the art camp: 4 (photography) + 16 (other areas) = 20 students
2. Find the number of students who specialized in photography: 4 students
3. The probability of choosing a student who specialized in photography is the number of students who specialized in photography divided by the total number of students: 4/20 = 1/5 = 0.2
So, the probability that a randomly chosen student specialized in photography is 4/20, which can be simplified to 1/5 or 20%.
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A girl planned to swim straight across a river of width 25m. After she had swum across the river, the girl found she had been swept 4m downstream. How far did she actually swim? Calculate your answer, in metres, correct to 1 decimal place.
Answers
Solve for x ... please help
Answers
Answer:
\(7x + 49 \degree = 2x + 94\degree \\ 7x - 2x = 94\degree - 49 \degree \\ 5x = 45\degree \\ x = \frac{45}{5} \\ x = 9 \\ check \\ 7(9) + 49 = 112\degree \\ 2(9) + 94 = 112\degree\)
Zayden walkes 3/4 miles in 1/5 hour. what is his speed in miles per hours
Answers
Answer:
Step-by-step explanation:
problem 5. signal transformations given the signal x[n] shown below, sketch and carefully label each of the following signals: a) x[2(n 1)] b) x[n-1]u[-1-n]
Answers
a) x[2(n-1)] is a signal that has been shifted to the right by 1 sample and then scaled by a factor of 2. , b) x[n-1]u[-1-n] is a signal that has been shifted to the left by 1 sample and then multiplied by a unit step function.
a) x[2(n-1)] is a signal that has been shifted to the right by 1 sample and then scaled by a factor of 2. This can be shown graphically by shifting the signal to the right by 1 sample and then halving the width of each sample.
b) x[n-1]u[-1-n] is a signal that has been shifted to the left by 1 sample and then multiplied by a unit step function which is used to clip off all values of the signal before -1. This can be shown graphically by shifting the signal to the left by 1 sample and then removing all values before the -1 sample.
a) x[2(n-1)] is a signal that has been shifted to the right by 1 sample and then scaled by a factor of 2.
b) x[n-1]u[-1-n] is a signal that has been shifted to the left by 1 sample and then multiplied by a unit step function.
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Match each function to the correct growth or decay factor. Drag the item from the item bank to its corresponding match.
y = 0.3(0.5)^x
y = 3(0.85)^x
y = 800(1.15)^x
y = 1200(1.05)^x
y = 2000(45)^x
Growth factor 5%, Decay factor 15%, Decay factor 50%, Decay factor 20%, Growth factor 15%
Answers
The matches between the functions and the growth or decay factors are as follows:
y = 0.3(0.5)^x matches with Decay factor 50%
y = 3(0.85)^x matches with Decay factor 15%
y = 800(1.15)^x matches with Growth factor 15%
y = 1200(1.05)^x matches with Growth factor 5%
y = 2000(45)^x matches with Decay factor 20%
Matching the functions to the correct growth or decay factors, we have:
y = 0.3(0.5)^x -> Decay factor 50%
This function exhibits exponential decay with a base of 0.5, indicating a decay factor of 50%.
y = 3(0.85)^x -> Decay factor 15%
This function demonstrates exponential decay with a base of 0.85, representing a decay factor of 15%.
y = 800(1.15)^x -> Growth factor 15%
This function displays exponential growth with a base of 1.15, indicating a growth factor of 15%.
y = 1200(1.05)^x -> Growth factor 5%
This function represents exponential growth with a base of 1.05, indicating a growth factor of 5%.
y = 2000(45)^x -> Decay factor 20%
This function exhibits exponential decay with a base of 45, indicating a decay factor of 20%.
In summary, the matches between the functions and the growth or decay factors are as follows:
y = 0.3(0.5)^x matches with Decay factor 50%
y = 3(0.85)^x matches with Decay factor 15%
y = 800(1.15)^x matches with Growth factor 15%
y = 1200(1.05)^x matches with Growth factor 5%
y = 2000(45)^x matches with Decay factor 20%
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Hey can you help me fast!!
Answers
Answer:
-4 x 3/2 = -6
Please mark brainliest which is the little crown on bottom right when a second user answers
Hope this helps and if it doesnt contact me at dis.c.ord Mousycritter#2842 and I will try again to help you!
Step-by-step explanation:
50 points!! Question 1) Are the corresponding angles in figures ABCD and WXYZ congruent? Yes or No? Question 2) Are the corresponding sides in figures ABCD and WXYZ proportional? Yes or No? Show work for question 2. Question 3) Are figures ABCD and WXYZ similar? Yes or no?
Answers
No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
What is congruency?The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one are congruent to the included angle and corresponding two sides of the other triangle.
Two figures are congruent if their vertices can be mapped into one another by appropriate rigid transformation or a combination of rigid transformations. Examples of the transformation are; reflection, dilation, rotation and translation.
Comparing the two figures, it would be observed that they are not congruent. Since there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
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Answer:not congruent.
Step-by-step explanation: