Solve for x in the equation x2-10x+25= 35-
X=5+2√ √5
O x=5± √√35
x=10+2√√/5
x = 10+ √√√35
0 0 0 0
The solution of the quadratic equation is x=5±√35 .
A quadratic equation is given by the equation which can be written in the form ax²+bx +c.
There are two solution of x for a quadratic equation. the graph of a quadratic equation is in the shape of a parabola in the cartesian plane.To solve a quadratic equation various methods are used:Completing of squaresMiddle term factorizationusing the quadratic formulathe given quadratic equation is :
x²-10x+25=35
Simplifying the equation we get:
or, x²-10x+25-35=0
or, x²-10x-10=0
Now we will solve the equation by completion squares method:
x²-10x-10=0
or, x²-2×x×5+5²-5²-10=0
or, (x-5)²=35
or, x-5=±√35
or, x= 5±√35
Therefore the solution of the quadratic equation is 5+√35 and 5-√35 .
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A function is defined by f (x) = 6 x + 1.5. What is f(2.5)?
Step-by-step explanation:
6×(2.5)+1.5
15+1.5
16.5
or
f(x)= 6x+1.5
f(2.5)= 6(2.5)+15
f(2.5)=16.5
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3. Marlene's meal at KFC costs there was a 10% service $110. How much will she pay altogether if charge and a 9% government tax on bills?
Marlene will have to pay a Total of $131.89 if there is a 9% government tax on bills.
Marlene had a meal at KFC which cost her $110, and there was an additional 10% service charge. We have to determine the total cost of her meal, including the 9% government tax on bills. To find out the total cost of the meal, we'll use the following steps:
Step 1: Calculate the service charge service Charge = 10% of $110Service Charge = (10/100) × $110Service Charge = $11
Step 2: Calculate the subtotal Subtotal = Cost of meal + Service charge Subtotal = $110 + $11Subtotal = $121
Step 3: Calculate the government tax Government Tax = 9% of Subtotal Government Tax = (9/100) × $121Government Tax = $10.89
Step 4: Calculate the total cost Total Cost = Subtotal + Government Tax Total Cost = $121 + $10.89Total Cost = $131.89
Therefore, Marlene will have to pay a total of $131.89 if there is a 9% government tax on bills.
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um..can someone tell me how to choose the brainliest answer? i don't know how I'm new >
Answer:
you press/click the small crown icon below the user's answer
Step-by-step explanation:
the ratio 20 minuets to 1 hour can be written in the form 1:n
find the value of n
the answer is 1:3 since there are 60 minutes in on hour you divide 60 by 20 and get 3 so you have 3 sets of twenty minutes to one hour. so n is 3
Generally, which one of the following is the least appropriate measure of central tendency for a data set that contains outliers? a. mean b. median c. 2nd quartile d. 50th percentile
The least appropriate measure of central tendency for a data set that contains outliers is the mean. This is because the mean is calculated by taking the sum of all the values in the data set and dividing it by the number of values. This means that the mean is heavily influenced by outliers, as they are included in the calculation.
The median, 2nd quartile, and 50th percentile are all more appropriate measures of central tendency for a data set that contains outliers, as they are not affected by the presence of outliers. The median is calculated by taking the middle value of the data set, the 2nd quartile is calculated by taking the median of the upper half of the data set, and the 50th percentile is calculated by taking the value at the 50th percentile of the data set.
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Define Torsion, pure torsion and it's assumptions, torsion
equation and limitation of its formula?
Torsion refers to the twisting of a structural member due to the application of torque. Pure torsion occurs when a structural member is subjected to torsional loading only. It is analyzed using assumptions such as linear elasticity, circular cross-sections, and small deformations. The torsion equation relates the applied torque, the polar moment of inertia, and the twist angle of the member. However, this formula has limitations in cases of non-circular cross-sections, material non-linearity, and large deformations.
Torsion is the deformation that occurs in a structural member when torque is applied, causing it to twist. In pure torsion, the member experiences torsional loading without any other external forces or moments acting on it. This idealized scenario allows for simplified analysis and calculations. The assumptions made in pure torsion analysis include linear elasticity, which assumes the material behaves elastically, circular cross-sections, which simplifies the geometry, and small deformations, where the twist angle remains small enough for linear relationships to hold.
To analyze pure torsion, engineers use the torsion equation, also known as the Saint-Venant's torsion equation. This equation relates the applied torque (T), the polar moment of inertia (J), and the twist angle (θ) of the member. The torsion equation is given as T = G * J * (dθ/dr), where G is the shear modulus of elasticity, J is the polar moment of inertia of the cross-section, and (dθ/dr) represents the rate of twist along the length of the member.
However, the torsion equation has its limitations. It assumes circular cross-sections, which may not accurately represent the geometry of some structural members. Non-circular cross-sections require more complex calculations using numerical methods or specialized formulas. Additionally, the torsion equation assumes linear elasticity, disregarding material non-linearity, such as plastic deformation. It also assumes small deformations, neglecting cases where the twist angle becomes significant, requiring the consideration of non-linear relationships. Therefore, in practical applications involving non-circular cross-sections, material non-linearity, or large deformations, more advanced analysis techniques and formulas must be employed.
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Given the midsegments, solve for x
Answer: 19 squared
he Step-by-step explanation: Because you have to add them then just multiply. Dont listen to my answer-
The stock for a given company has steadily increased from the beginning of 2006 to the end of 2007 by 5% per year, however, in 2008 the stocked increased by 10%. If the stock was purchased at $12.43 at the beginning of 2006, then what is the value of the stock at the end of 2008? Round your answer to the nearest cent.
A. 15.07
B. 14.36
C. 13.70
D. 13.67
Answer:
I think the answer is D on EDGE. I'm not sure how to solve this problem and im still taking the test, so i'll come back with a final answer.
Step-by-step explanation:
I received an 80% on it and it won't let me see if it is right or not.
Answer:
It’s b
Step-by-step explanation:
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. Round your final answers to 3 decimal places -195.x - 162: 90% condence
The formula for a confidence interval for a population proportion, p is;Upper bound: $$\hat{p} + z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$$Lower bound: $$\hat{p} - z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$$Where;$$\hat{p} = \frac{x}{n}$$Where; $x$ is the number of success and $n$ is the sample size.
Therefore, if $$\hat{p} = \frac{x}{n}$$Hence, $$\hat{p} = \frac{195}{195+162} = 0.546$$And, $$n = 195 + 162 = 357$$The value of $z_{\alpha/2}$ for 90% confidence is 1.645 (refer the table below).z1-a2α/2 0.0050.0100.0250.050.10.20.50.1 0.00 1.96 1.645 1.282 1.645 1.645 1.282 1.645 1.282 The confidence interval for the population proportion p is;Upper bound: $$\hat{p} + z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$$$$= 0.546 + 1.645\sqrt{\frac{0.546(1-0.546)}{357}}$$$$= 0.546 + 0.062$$$$= 0.608$$Lower bound:$$\hat{p} - z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$$$$= 0.546 - 1.645\sqrt{\frac{0.546(1-0.546)}{357}}$$$$= 0.546 - 0.062$$$$= 0.484$$
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Kenny and Tara are both members of a population, and a simple random sample is being conducted. If the chance of Kenny being selected is 1/29, what is the chance of Tara being selected?
Given:
a.) The chance of Kenny being selected is 1/29.
From the given, we can say that the total population is 29.
Since it's been given that Kenny and Tara are both memb
How would you describe the difference in haircut costs between males and females? Be sure you discuss differences/similarities in shape, center, and spread.
Answer:
whats wrong with you this it for homework
Step-by-step explanation:
brainliest gets 30 points
Answer:
14.5 centimeters = 5.709 inches
Formula: multiply the value in centimeters by the conversion factor '0.39370078740207'.
So, 14.5 centimeters = 14.5 × 0.39370078740207 = 5.70866141733 inches.
14.5 centimeters as an usable fraction or an integer in inches:
5 3/4 inches (0.72% bigger)
5 11/16 inches (-0.37% smaller)
These are aternative values for 14.5 centimeters in inches. They are represented as a fraction or an integer close to the exact value (1
2
, 1
4
, 3
4
etc.). The approximation error, if any, is to the right of the value.
Raj recorded the scores of six of his classmates in the table.
Math Scores
98
76
100
88
82
70
What is the range of their test scores?
A.28
B.30
C.85
D.86
Which of the following is a like radical to 3 x StartRoot 5 EndRoot
Answer: The square root of 45 is a like radical to 3 x √5.
To see why, we can simplify each radical using the product rule of radicals:
3 x √5 = √(3^2 x 5) = √45
Similarly, we can simplify the square root of 45 using the prime factorization of 45:
√45 = √(3 x 3 x 5) = 3√5
Therefore, 3 x √5 is a like radical to √45, and vice versa.
Step-by-step explanation:
Answer:
its D
Step-by-step explanation:
TRUST ME BRO
Please help meeeee !?!?
Carla has already cycled 428 kilometers this year, plus she plans to cycle 3 kilometers during each trip to work. After 48 trips to work, how many kilometers will carla have cycled in total?
Answer:
572 kilometers
Step-by-step explanation:
You multiply the 3 with 48 and whatever answer you get with that you add it to 428. Hope this helps :)
Answer:
572 kilometers
Step-by-step explanation:
a manufacturer of piston rings for automobile engines frequently tests the width of the rings for quality control. last week, a random sample of 15 rings were measured, and the mean and standard deviation of the sample were used to construct a 95 percent confidence interval for the population mean width of the rings. when all other things remain the same, which of the following conditions would have resulted in a wider interval than the one constructed? i. a sample size of 20 with 95 percent confidence ii. a sample size of 15 with 99 percent confidence iii. a sample size of 12 with 95 percent confidence responses
Answer:
II and III only
Step-by-step explanation:
The area of a triangle is found by multiplying half of the measure of its base by its height. The area of the following right triangle is 18 square centimeters.
A. Write and solve an equation to find the value of h. Include all of your work in your answer.
B. In two or more complete sentences, verify your answer using mental math.
WILL GIVE BRAINLIEST TO BEST ANSWER
Answer:
a. h=5
b. A=.5(b)(h). So, 18=.5(6)(h+1). If I plug in 5 as h and solve, 18=.5(6)(6) which can be simplified to 18=(.5)(36). So, h is 5.
Step-by-step explanation:
Since the area = 18, and the formula for area is .5(b)(h), I can start solving by plugging in the numbers I have. 18=.5(6)(h+1). I multiply both sides by 2 to get rid of the .5, getting 36=6(h+1). I divide by 6 on both sides, getting 6=h+1. I subract 1 on both sides to get h=5
Answer:
a. h=5
b. A=.5(b)(h)
Step-by-step explanation:
On january 14, edamame industries purchased supplies of $700 on account. the entry to record the purchase will include?
The entry to record the purchase will include: a debit to Supplies and a credit to Accounts Payable
What are supplies?Supplies are the small items, used in the company's overall operation. Supplies used during the period will be reported as supplies expense and the unused supplies will be reported in the balance sheet as an asset.Now, given: Purchased supplies = $500 (on account).
To find: What does entry to record the purchase include?
Now,
The supply asset will grow, which will cause a debit to be applied to it. It is believed to have been purchased on account, which increased (credited) the account for payments due.Hence, the entry to record the purchase will include: a debit to Supplies and a credit to Accounts Payable.
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For C it's y= 1.5x and D is y=2/3x
Answer:
y = 1.5x + 0 or y = 1.5x
Step-by-step explanation:
=> First lets find the slope:
Slope: Change in y / Change in x
Change in y = +15
Change in x = 10
Slope = 15/10 or 1.5
=> Now lets find the, y-intercept:
We know that y-intercept is the y-value when x = 0
So we can say:
y = 1.5x
y = 1.5(0)
y = 0
Therefore y-intercept = 0
Final equation: y = 1.5x + 0 or y = 1.5x
Hope this helps!
Help (Image attached)
Answer:
A or D
Step-by-step explanation:
PLS HELP WILL GIVE BRAINIEST.
The graph shows a line and two similar triangles.
What is the equation of the line?
O y = 3x. O y = 1/3x. O y = 1/3x +2. O y = 3x +2
Answer:
y=1/3x
Step-by-step explanation:
the first line is 1 and the second line is 3
Find ln(-127.1).
this question must be at least 20 characters long so here’s some extra characters but that’s the whole question^
Answer:
The natural logarthim of a negative is undefined.
A small object at rest on a frictionless surface is attached to a wall by a frictionless spring. The object is pulled away from the wall to stretch the spring and
then released. The graph shows the displacement d, in centimeters, of the object from its resting position as a function of time t, in seconds, as the object
oscillates. Which of the following statement(s) is/are true?
Is this relation a function?
Answer:
Yes, this is a function
Step-by-step explanation:
ok
visiting amazon and visiting pinterest are not independent events. but, if they were independent events, what would you expect the probability of visiting both amazon and pinterest to be?
The answer to this problem is dependent on the probability of each event separately. Since we don't have any given information on the likelihood of visiting Amazon or Pinterest, we'll have to make an educated guess. Let's assume that the probability of visiting Amazon is 60%, and the probability of visiting Pinterest is 50%.
We may calculate the probability of visiting both Amazon and Pinterest as independent events using the formula:
P(A ∩ B) = P(A) * P(B)
where, P(A) = probability of visiting Amazon
P(B) = probability of visiting Pinterest
Using our assumed probabilities, we have:
P(A) = 0.6P(B) = 0.5P(A ∩ B) = P(A) * P(B)= 0.6 * 0.5= 0.3
We expect the probability of visiting both Amazon and Pinterest to be 0.3. Therefore, if Amazon and Pinterest were independent events, there would be a 30% chance of visiting both Amazon and Pinterest when visiting either one.
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What values are distributed along the x-axis for a sampling distribution of the sample mean?
The sample means are distributed along the x-axis for a sampling distribution of a sample mean.
What is a sample mean?A sample mean is an average of a set of data, that can be used to calculate the central tendency, standard deviation and the variance of a data set.
Now,
In a two-dimensional graph, (with two axes), generally the independent variable is plotted on the x-axis and the dependent variable is plotted on the y-axis. Here, in sample mean, the average set of data is distributed on the x-axis as it is the independent value for a sampling distribution.To learn more about sample mean, refer to the link:https://brainly.com/question/12892403
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Elmo swims laps in the pool for swim team. At the start of the summer, he could swim 10 laps in 25 minutes. At the end of the summer, he could swim 12 laps in 24 minutes. He has improved his lap time by how many minutes?
Elmo's lap time refers to the average time he spends swimming a single lap. At the beginning of the summer, Elmo's lap time was 25/10 = 2.5 minutes per lap. At the end of the summer, his lap time improved to 24/12 = 2 minutes per lap. Therefore, Elmo improved his lap time by 2.5 - 2 = 0.5 minutes per lap.
Improving one's lap time is important for competitive swimming, as it can greatly affect one's overall performance. By improving his lap time by 0.5 minutes per lap, Elmo can swim a 20-lap race 10 minutes faster than he could at the beginning of the summer. This could potentially lead to better race results and help Elmo achieve his goals as a swimmer.
To further improve his lap time, Elmo can work on his technique, endurance, and overall fitness. He can incorporate interval training, strength training, and drills to enhance his swimming skills and improve his lap time. By setting specific goals and consistently practicing, Elmo can continue to improve his lap time and achieve success as a swimmer.
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can someone please help me.
Answer:
D = (-4,4)
E = (-4,-4)
the length from d to e is 4
Answer:
It is 3
It is 3
it is 3
it is 3
The dimension of the row space of a 3 x 3 matrix A is 2. (a) What is the dimension of the column space of A? (b) What is the rank of A? (c) What is the nullity of A? (d) What is the dimension of the solution space of the homogeneous system Ax = 0?
a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.
(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.
(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.
(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:
nullity = number of columns - rank
nullity = 3 - 2 = 1
Therefore, the nullity of matrix A is 1.
(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.
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