The sign of "b" on the numerator should be negative. So we conclude that the correct option is false.
Is the equation in the image correct or incorrect?For a quadratic equation of the form:
\(y = a*x^2 + b*x + c\)
By using the Bhaskara's formula, the solutions of the equation:
\(0 = a*x^2 + b*x + c\)
Are given by the formula:
\(x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}\)
Notice that the sign of the first term on the numerator should be negative, while on the image it is positive.
So the equation shown in the image is incorrect.
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BRAINLIEST TO FIRST ANSWER
Use this story to answer all the following questions:
Vanessa's team played 8 games of basketball. During those 8 games her team's score was: 68, 76, 63, 58, 64, 75, 78 and 78.
What is the mean?
2.
What is the median?
3.
What is the range?
4.
What is the mean absolute deviation?
Answer:
The mean is 70, that's all I know. Sorry!
Step-by-step explanation:
Here's how you find the mean:
1. Add together ALL NUMBERS. (which equals 560 in this case.)
2. DIVIDE by the amount of numbers there are. (So 560 ÷ 8 = 70)
3. There's your answer! The mean of these numbers is 70.
I really hope this helps! Have a great day\night!
Test the claim that the mean gpa of night students is larger than 2.1 at the 0.10 significance level. the null and alternative hypothesis would be:______.
For a clinical trial (study) on the mean GPA of night students, the appropriate null and alternative hypotheses would be given by:
H₀: p = 2.1H₁: p > 2.1What is a null hypothesis?A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.
For a clinical trial (study) on the mean GPA of night students, the appropriate null and alternative hypotheses would be given by:
H₀: p = 2.1H₁: p > 2.1In conclusion, we can infer and logically deduce that this test would be right-tailed.
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USE WORSKIN METHOD TO FIND THE GENERAL SOLUTION OF THE FOLLOWING SECOND ORDER LINEAR ORDINARY DIFFERNTIAL EQUATION? y²-10 y² + 25 Y ====2=²2
The general solution of the given second-order linear ordinary differential equation is y = (c1 + c2x)e^(5x) + 22/25, where c1 and c2 are arbitrary constants.
The given differential equation is y'' - 10y' + 25y = 22. To find the general solution, we first need to find the complementary function by solving the associated homogeneous equation, which is y'' - 10y' + 25y = 0.
Assuming a solution of the form y = e^(rx), we substitute it into the homogeneous equation and obtain the characteristic equation r^2 - 10r + 25 = 0. Solving this quadratic equation, we find that r = 5 is a repeated root.
Therefore, the complementary function is of the form y_c = (c1 + c2x)e^(5x), where c1 and c2 are arbitrary constants.
Next, we find a particular solution for the non-homogeneous equation y'' - 10y' + 25y = 22. Since the right-hand side is a constant, we can assume a constant solution y_p = a.
Substituting y_p = a into the differential equation, we find that 25a = 22, which gives a = 22/25.
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Mona has 3200 yards of fencing to enclose a rectangular area. find the dimensions of the rectangle that maximize the enclosed area. what is the maximum area?
Maximum area enclosed by Mona for the fencing is 640,000 square yards. And the dimensions( length and width ) of the rectangle to enclosed maximum area are 800 yard each.
As given in the question,
Perimeter of the rectangular area encloses for fencing = 3200 yards
Let 'x' and 'y' be the length and width of the rectangle.
2( x + y ) = 3200
⇒ x + y = 3200/2
⇒y = 1600 - x
Area of rectangular field 'A' = xy
⇒ A = x ( 1600 - x )
⇒ A = 1600x - x²
Differentiate both the side of the equation we get,
dA/dx = 1600 - 2x
For Maximum Area dA/dx = 0
1600 -2x =0
⇒ 2x = 1600
⇒ x= 800 yards
Now, y = 1600 - 800
= 800 yards
Maximum area = (800) (800)
= 640,000 square yards
Therefore, the dimensions of the rectangular area are 800yards each and its maximum area is equal to 640,000 square yards.
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Which of the following undergoes controlled chain reaction in a nuclear reactor?
A. Th-232
B. Pb-208
C. Ba-141
D. U-235
Answer:
the answer is option D. Uranium - 235
if angle a is 10 degrees and angle b is 35 degrees what is angle AEB?
Answer:
135
Step-by-step explanation:
sum of interior angles of a triangle is 180
so
180-35-10
135
A major car dealership has several stores in a big city. The owner wants to determine if there is a difference in the proportion of SUVs that are sold at stores A and B. The owner gathers the sales records for each store from the past year. A random sample of 55 receipts from store A shows that 30 of the sales were for SUVs. Another random sample of 60 receipts from store B shows that 42 of the sales were for SUVs. Assuming conditions for inference are met, what is the 99% confidence interval for the difference in proportions of sales that are SUVs
Answer:
confidence interval = ( -0.38 , 0.08 )
Step-by-step explanation:
Given data :
n1 = 55 , n2 = 60 ,
Let P1 ( proportion of SUV sales at store A ) = 30 / 55 = 0.55
P2 ( sample proportion of SUV sales at store B ) = 42/60 = 0.70
The Z-value at 99% confidence Interval = 2.58
Determine the 99% confidence interval for difference in proportion
applying the formula below
( P1 - P2 ) ± Z ( \(\sqrt{p1( 1-p1)/n1 + p2(1-p2)/n2}\)
Input values above into equation
confidence interval = ( -0.38 , 0.08 )
Taxis are waiting in a queue for passengers to come. Passengers arrive according to a Poisson process with an average of 60 passengers per hour. A tax departs as soon as two passengers have been collected or 3 minutes have expired since the first passenger has got in the taxi. Suppose you get in the taxi as the first passenger. What is your average waiting time?
Your average waiting time will be approximately 1 minute.
As the first passenger, you will not have to wait for any other passengers to get in the taxi. However, the taxi will wait for 2 passengers to arrive or 3 minutes to pass since your boarding.
Since passengers arrive according to a Poisson process with an average of 60 passengers per hour, the arrival rate lambda can be calculated as:
lambda = average number of passengers per time unit = 60/60 = 1 passenger per minute
The time between two consecutive passenger arrivals follows an exponential distribution with parameter lambda. Thus, the probability of waiting less than t minutes for the second passenger to arrive can be calculated as:
P(wait < t) = 1 - e^(-lambda*t)
We need to find the average waiting time until the second passenger arrives. This can be calculated as the area under the probability distribution curve divided by the arrival rate lambda:
average waiting time = integral from 0 to infinity of t*(1 - e^(-lambda*t)) dt / lambda
Using integration by parts, we can solve this integral to get:
average waiting time = 1/lambda + (1 - e^(-lambda*t))/(lambda^2)
Plugging in the values, we get:
average waiting time = 1/1 + (1 - e^(-1*3))/(1^2) = 1 + (1 - 0.0498) = 1.9502 minutes
Therefore, as the first passenger, your average waiting time until the second passenger arrives is 1.9502 minutes.
To answer your question, let's consider the two possible scenarios:
1. Two passengers are collected: In this case, the first passenger (you) waits for the second passenger to arrive. Since the arrival rate is 60 passengers per hour, the average time between arrivals is 1 minute (60 minutes / 60 passengers).
2. Three minutes have expired: In this case, the taxi departs after 3 minutes even if only one passenger (you) is in the taxi.
On average, the waiting time for the first passenger (you) will be the minimum of these two scenarios. Thus, your average waiting time will be approximately 1 minute.
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which equation does the graph below represent?108642-5 -4 -3 2-1021 23 454-6-8-10Ly= 2x1уX212.y. 2x
The line passes through the point (0,0) and point (1,2).
8 hoodies for $188.88 _______Each hoodie
Answer:
$23.61
per hoodie
Step-by-step explanation:
$188.88 divided by 8 = $23.61
Natalie can bike 10 kilometers per hour faster than Aaron. By the time
Natalie travels 60 kilometers, Aaron has gone 40 kilometers. Find the speed
of Natalie and Aaron.
Exterior Angle Sum Theorem
What is the value of x?
- 14
- 28
- 48
- 120
Answer:
The answer is 14.
Step-by-step explanation:
Four people have measured the height of a wall using different methods. Their results are shown in the table. Order their measurements from least to greatest
The height of the wall from the least to the greatest is : \(\frac{5}{2}\), 2.6, 1 + √3 , √8
In order to order the numbers from the least to the greatest, all the measurements have to be in the same form.
Currently, there are not so they would need to be changed to the same form.
I would change all numbers to decimals
√8 = 2.83
5/2 = 2.5
2.6
1 + √3 = 1 + 1.73 = 2.73
Now that all the numbers are in decimal, they can now be ordered
\(\frac{5}{2}\), 2.6, 1 + √3 , √8
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On Saturday, a souvenir shop had 125 customers. Sixty-four percent of the customers paid with a credit card. The other customers paid with cash. How many customers paid with cash?
Answer:
45 customers
Step-by-step explanation:
Given
Total number of customers = 125
percent that paid with credit card = 64%
Customers that paid with credit card = 64% * 125
Customers that paid with credit card = 0.64 * 125 = 80
Number of customers that paid with cash = 125 - 80
Number of customers that paid with cash = 45 customers
Congruent triangles. What does x equal?
The value of x for the congruent triangles will be equal to 10.
What is congruency?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.
Given that the angles are ∠E = 95, ∠F = 32 and ∠R=4x +13. The value of x will be calculated as,
Calculate the value of angle ∠G,
∠G = 180 - 32 - 95
∠G = 53
The value of x will be,
4x + 13 = 53
4x = 40
x = 10
Therefore, the value of x for the congruent triangles will be equal to 10.
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Biking at 10 mph it takes kristen 1/4 an hour the train station to go to work.kristen then takes the train to work and it takes another 1/4 hour to get to work when the train travels 28 mph. how far does kristen travels to work.
Biking at 10 mph it takes kristen 1/4 an hour the train station to go to work.kristen then takes the train to work and it takes another 1/4 hour to get to work when the train travels 28 mph. how far does kristen travels to work Kristen travels a total of 9.5 miles to work.
1. First, we need to find the distance Kristen travels by bike. We can do this using the formula distance = speed × time. In this case, Kristen's speed is 10 mph and she bikes for 1/4 hour. So, the distance she travels by bike is:
Distance = 10 mph × 1/4 hour = 2.5 miles
2. Next, we need to find the distance Kristen travels on the train. Again, we use the formula distance = speed × time. The train's speed is 28 mph and it takes 1/4 hour to get to work. So, the distance traveled on the train is:
Distance = 28 mph × 1/4 hour = 7 miles
3. Now, we add the distances from both parts of the journey to find the total distance traveled:
Total distance = distance by bike + distance by train = 2.5 miles + 7 miles = 9.5 miles
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Given x + 3y = k and x-k= y, which of the following is equal to
x?
k-3yStep-by-step explanation:
For the given equations, x + 3y = k and x-k= y, the value of x is equal to k.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equations are,
x + 3y = k (1)
and x-k= y, (2)
From equation (2) substitute the value of y in equation (1)
x+3(x-k)=k
⇒4x-3k=k
⇒x=k
So the value of x is equal to k.
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solve by substitution I NEED STEP BY STEP
7x-y=34
2x+3y=-10
Answer:
(4, - 6 )
Step-by-step explanation:
7x - y = 34 ( multiply through by - 1 )
- 7x + y = - 34 ( add 7x to both sides )
y = 7x - 34 → (1)
2x + 3y = - 10 → (2)
substitute y = 7x - 34 into (2)
2x + 3(7x - 34) = - 10
2x + 21x - 102 = - 10
23x - 102 = - 10 ( add 102 to both sides )
23x = 62 ( divide both sides by 23 )
x = 4
substitute x = 4 into (1)
y = 7(4) - 34 = 28 - 34 = - 6
solution is (4, - 6 )
Which one is greater1.22 or 1.02
Answer:
1.22 is greater
Step-by-step explanation:
everything after the decimal point is still the same as if it was a regular number. It's like comparing 22 and 02.
You can do 1.22-1.02 without getting a negative number
But when you do 1.02-1.22 the answer is -0.2.
I hope I could help!
Lines BC and DE are both vertical.
What is the length of AD?
Answer:
The answer is 6
Question Given 6d + 12e - 185 = -138-2d+e+315 - 171 and 40+ de -285 - -168, use Gauss-jordan elimination to solve the system. State the solution as an ordered triple. Provide your answer below:
To solve the given system of equations using Gauss-Jordan elimination, we first need to simplify the given equations and put them into a matrix form.
Here are the following steps:
Equation 1: 6d + 12e - 185 = -138 - 2d + e + 315 - 171
Simplify:
8d + 11e = 191
Equation 2: 40 + de - 285 = -168
Simplify:
de - 245 = -168
de = 77
Now, let's create an augmented matrix for the system of equations:
```
| 8 11 | 191 |
| 0 1 | 77 |
```
Since we can't perform Gauss-Jordan elimination on a system with a product of variables (de), we'll have to solve for one variable and substitute it into the other equation.
From the second row of the matrix, we have:
e = 77
Now substitute e into the first equation:
8d + 11(77) = 191
8d + 847 = 191
8d = -656
d = -82
Now we have the ordered pair (d, e) = (-82, 77).
Since there are only two variables in the system, there's no need for an ordered triple. The solution is (-82, 77).
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EASYYY POINTSSS!!!!! PLZZZZZ HEALP
How many different ways are there to arrange the letters MILKTEA such that TEA is a contiguous substring?
For reference, the term “contiguous substring” means that the letters TEA appear in that order, all next to one another. For example, MITEALK would be such a string, while TMIELKA would not be.
Answer:
120
Step-by-step explanation:
Pretend to rubber-band TEA together so it counts as one letter. The problem then becomes: How many ways can you rearrange 5 letters (M, I, L, K, TEA)? To solve that, it's 5! or 120 ways. I hope this is correct and it helps! :)
A unicorn daycare center requires there to be 22 supervisors for every 18baby unicorns. Write an equation that shows the relationship between a, the number of supervisors, and u, the number of baby unicorns
The relationship between the amount of supervisors as well as the number of baby unicorns is shown by the equation n = 81.9 * u.
What is termed as the equation?In its most basic form, an equation is an algebraic statement that demonstrates that two formulas are equal.3x + 5 = 24, for example, is an equation in which 8x + 5 as well as 14 are 2 expressions isolated by a 'equal' sign.Let n become the number of supervisors and u be the quantity of baby unicorns.
There are 18 unicorns for every 22 supervisors just at unicorn daycare center.
This means that each supervisor is responsible for 18/22 unicorns = 81.9.
Supervisors and unicorns have a n = 81.9 * u relationship.
Thus, the relationship between the amount of supervisors as well as the number of baby unicorns is shown by the equation n = 81.9 * u.
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Tatiana reads 40 pages of her book every night for x number of nights. Write an expression that represents the number of pages she has read.
Divide the polynomial in the numerator by the monomial in the denominator. Simplify your answer. 20x^5 – 6x^4 + 12x^3 + 12x^2 10x^2
Step-by-step explanation:
do u have a picture? its mixed up
Answer:
2x • (2x2 + 1) • (5x - 3)
Step-by-step explanation:
5.4 Find roots (zeroes) of : F(x) = 2x2 + 1
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 2 and the Trailing Constant is 1.
The factor(s) are:
of the Leading Coefficient : 1,2
of the Trailing Constant : 1
Final result :
2x • (2x2 + 1) • (5x - 3)
can you simplify this as much as possible 2(3u+8)=40
Step-by-step explanation:
u= 4
...................
What is an equation in point-siope form of the line that passes through (-7, 1) and (-3, 9) ??
Tell whether the lines through the given points are parallel, perpendicular, or neither. Explain.
Line 1: (2,2), (-4,5)
Line 2: (4.-9), (-6,-4)
Answer:
parallel
Step-by-step explanation:
find the slope of each line
Line 1 (5-2)/(-4-2) = 3/-6 =-1/2
Line 2 (-4--9)/(-6-4)= 5/-10 = -1/2
Which of the following statements best describes the function of the logic variable X?
A. X is a variable whose value is 1 or 0.
B. X is a constant value in the indeterminate range of logic values.
C. X is a variable whose value is always 1.
D. X is a variable whose value is always 0.
The best statement that describes the function of the logic variable X is: A. X is a variable whose value is 1 or 0.
Logic variables typically represent binary states or conditions, where 1 represents "true" or "on" and 0 represents "false" or "off". Therefore, option A accurately describes the function of the logic variable X as having a value of either 1 or 0. Logic variables are often used in the field of logic and computer science to represent binary states or conditions. The value of a logic variable can only be one of two possibilities: 1 or 0.
In this context, 1 typically represents "true" or "on," indicating that a certain condition is satisfied or a certain state is active. On the other hand, 0 represents "false" or "off," indicating that the condition is not satisfied or the state is inactive.
By using logic variables, we can model and manipulate binary logic in a precise and systematic manner. The values of logic variables are fundamental in logical operations, such as AND, OR, and NOT, which are essential in designing and analyzing digital circuits, programming, and logical reasoning.
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Ms. Bell's mathematics class consists of 6 sophomores, 11 juniors, and 13 seniors. How many different ways can Ms. Bell create a 5-member committee of seniors if each senior has an equal chance of being selected?
There are 1287 different ways Ms. Bell can create a 5-Member committee of seniors from her class.
Ms. Bell's mathematics class consists of 6 sophomores, 11 juniors, and 13 seniors. The task is to determine the number of different ways Ms. Bell can create a 5-member committee of seniors, with each senior having an equal chance of being selected.
To solve this problem, we can use combinations. The number of ways to select a committee of 5 seniors from a group of 13 can be calculated using the combination formula:
C(n, k) = n! / (k!(n - k)!)
Where n represents the total number of elements (seniors in this case), and k represents the number of elements to be selected (5 in this case). The exclamation mark denotes the factorial of a number.
Using the combination formula, the number of ways to select a 5-member committee from 13 seniors is:
C(13, 5) = 13! / (5!(13 - 5)!) = 13! / (5! * 8!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1287
Therefore, there are 1287 different ways Ms. Bell can create a 5-member committee of seniors from her class.
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