The non-permissible replacement for x in this expression is 1.
What is expression?An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined.
Given:
The given expression is
\(x=\frac{b^{2} }{5b-5}\)
Non-Permissible Values: values of a variable that make the denominator of a rational expression equal 0.
If the denominator contains a binomial, the non-permissible values can be determined from the factored form of the binomial.
A rational expression is a fraction, where p and q are polynomials, q ≠ 0. A non-permissible value is a value of the variable that causes an expression to be undefined. For a rational expression, this occurs when the denominator is zero.
Inadmissible Values: values of a variable that do NOT make sense in the context of a given problem.
According to given question we have
The expression is
\(x=\frac{b^{2} }{5b-5}\)
By definition, the non-permissible replacement for x in this expression, is the value of x that makes the denominator equal to zero.
5b-5=0
5b=5
Divide both sides by 5 we get,
b=1
Therefore, the non-permissible replacement for x in this expression is 1.
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6(g+h)
This is 6th grade algebra or math
Answer:
6g + 6h
Step-by-step explanation:
6(g+h) = 6×g + 6×h
Make r the subject of the formula t=r/r-3
Answer:
I think the answer is
t=r/r-3
r=t(r-3)
r=tr-t3
Please help me answer this question
Sergey is solving 5x2 + 20x – 7 = 0. Which steps could he use to solve the quadratic equation by completing the square? Select three options. 5(x2 + 4x + 4) = –7 + 20 x + 2 = Plus or minus StartRoot StartFraction 27 Over 5 EndFraction EndRoot 5(x2 + 4x) = 7 5(x2 + 4x + 4) = 7 + 20 5(x2 + 4x) = –7
The solution to the quadratic equation is;
x = -2 ± √27/5
How do you solve by completing the square?We can see that the equation that we should solve by the method of completing the square is given by;
5x^2 + 20x – 7 = 0
Dividing through by 5 we have;
x^2 + 4x - 7/5 = 0
Thus;
x^2 + 4x = 7/5
When we add 2^2 to both sides to complete the square we have;
(x + 2)^2 = 7/5 + 4
(x + 2)^2 =7 + 20/5
(x + 2)^2 =27/5
x = -2 ± √27/5
This is how the equation that we have can be solved by completing the square method.
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XYZ was reflected to form LMN. Which statements are true regarding the diagram?
Answer:
XYZ = LMN
Y = M
X = L
XZ = LN
Step-by-step explanation:
Y = 86, M = 86, M = Y
X = 38, L = 38, X = L
Z = 56, N = 56, Z = N
A,B,C,and F I just did this problem on edge
Find the x-intercept and y-intercept from the graph below.
Answer:
Step-by-step explanation:
First choice
to find x intercept, substitute y = 0.
where it cuts the y axis is -55
similarly, where it cuts the x-axis is 25
anser is x-int (-55,0) u - int (x,25)
VI. In a class of 40 students, the marks obtained in Mathematics (out of 50) are as under: 44,50,44,49,42,47,45,42,44,48,49,48,47 49,47,41,45,48,41,48,41,42,47,49,49,48, 50.47.49.48.46.44.45.45.46.44.42.47.48.45 ow answer the following questions: a) b) c) d) e) Find the number of students getting more than 45 marks. Find the number of students getting less than 45 marks. Find the maximum number of students getting the same marks. Find the average marks obtained by the students in the class. Find the number of students getting more than average marks.
a) To find the number of students getting more than 45 marks, we count the students whose marks are greater than 45 in the given list.
In the given list, the students with marks greater than 45 are: 50, 49, 47, 48, 49, 48, 47, 49, 48, 50, 47, 49, 48, 46, 47, 48, 47.
Counting these numbers, we find that there are 17 students who obtained more than 45 marks.
b) To find the number of students getting less than 45 marks, we count the students whose marks are less than 45 in the given list.
In the given list, the students with marks less than 45 are: 44, 44, 42, 41, 41, 42, 41, 44, 44, 42, 45, 45, 45, 44, 45.
Counting these numbers, we find that there are 15 students who obtained less than 45 marks.
c) To find the maximum number of students getting the same marks, we look for the mark that appears most frequently in the given list.
In the given list, the marks obtained by the students are: 44, 50, 44, 49, 42, 47, 45, 42, 44, 48, 49, 48, 47, 49, 47, 41, 45, 48, 41, 48, 41, 42, 47, 49, 49, 48, 50, 47, 49, 48, 46, 44, 45, 45, 46, 44, 42, 47, 48, 45.
Counting the frequency of each mark, we find that the marks 47 and 48 appear most frequently, with a count of 6 each. Therefore, the maximum number of students getting the same marks is 6.
d) To find the average marks obtained by the students in the class, we sum up all the marks and divide by the total number of students.
Total marks = 44 + 50 + 44 + 49 + 42 + 47 + 45 + 42 + 44 + 48 + 49 + 48 + 47 + 49 + 47 + 41 + 45 + 48 + 41 + 48 + 41 + 42 + 47 + 49 + 49 + 48 + 50 + 47 + 49 + 48 + 46 + 44 + 45 + 45 + 46 + 44 + 42 + 47 + 48 + 45
= 1912
Total number of students = 40
Average marks = Total marks / Total number of students
= 1912 / 40
= 47.8
Therefore, the average marks obtained by the students in the class is 47.8.
e) To find the number of students getting more than the average marks, we count the students whose marks are greater than 47.8.
In the given list, the students with marks greater than 47.8 are: 50, 50, 49, 48, 49, 48, 49, 48, 50, 49, 49, 48, 48, 50, 49, 49, 48, 48, 47, 49, 49, 48, 50, 47,
49, 49, 48, 50, 47, 49, 49, 48, 48, 49, 48, 47, 48, 49, 49, 48, 50, 49.
Counting these numbers, we find that there are 40 students who obtained more than the average marks.
A pole that is 3.3m tall casts a shadow that is 1.44m long. At the same time, a nearby building casts a shadow that is 47.75m long. How tall is the building? Round your answer to the nearest meter.
Answer:
20.8 would be the answer
Step-by-step explanation:
Lee watches TV for 3 hours per day. During that time, the TV consumes 250 watts per hour. Electricity costs (18 cents)/(1 kilowatt-hour). How much does Lee's TV cost to operate for a month of 30 days?
Lee's TV costs $4.05 to operate for a month of 30 days.
To calculate the cost of operating Lee's TV for a month, we need to find out the total number of kilowatt-hours (kWh) of electricity consumed by the TV during that time.
First, let's find out how many watts Lee's TV consumes in a day:
250 watts/hour x 3 hours/day = 750 watts/day
To convert this to kilowatts, we divide by 1000:
750 watts/day ÷ 1000 = 0.75 kilowatts/day
Now, we can calculate the total number of kilowatt-hours consumed by the TV in a month:
0.75 kilowatts/day x 30 days = 22.5 kilowatt-hours
Finally, we can calculate the cost of operating the TV for a month:
22.5 kilowatt-hours x 18 cents/kilowatt-hour = $4.05
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The Massachusetts Bay Colony set up a government known as?
Answer:
Next, in 1630, the Puritans used the royal charter establishing the Massachusetts Bay Company to create a government in which “freemen”—white males who owned property and paid taxes and thus could take on the responsibility of governing—elected a governor and a single legislative body called the Great and General Court ...
Answer:
Questions and answers about the Massachusetts Bay Colony. The Puritans established a theocratic government with the franchise limited to church members.
Questions and answers about the Massachusetts Bay Colony. The Puritans established a theocratic government with the franchise limited to church members.Related Places: United States British Empire Massachusetts American colonies
Questions and answers about the Massachusetts Bay Colony. The Puritans established a theocratic government with the franchise limited to church members.Related Places: United States British Empire Massachusetts American coloniesRelated Topics: Western colonialism Puritanism theocracy “Bay Psalm Book”
Cierta clase de microbio se duplica en cada minuto. Si se coloca un microbio en un recipiente de una capacidad determinada, este se llena a los 30 min. ¿En que tiempo se llenará el recipiente si se colocan 2 microbios?
Answer:
En este problema se trata de una función exponencial, donde la cantidad de microbios en el recipiente se duplica cada minuto.
Si x representa el número de minutos transcurridos y y la cantidad de microbios en el recipiente, entonces se puede expresar la función exponencial como:
y = a * (2)^x
Donde "a" es la cantidad inicial de microbios en el recipiente, en este caso a = 1.
Después de 30 minutos, la cantidad de microbios en el recipiente es:
2^30 = 1,073,741,824
Esto significa que si se coloca un solo microbio en el recipiente, se tardará 30 minutos en llenarlo.
Si se colocan 2 microbios en el recipiente, entonces la cantidad inicial de la función exponencial es a = 2, y se busca el valor de x tal que:
2 * (2)^x = 1,073,741,824
Dividiendo ambos lados por 2, se tiene:
(2)^x = 536,870,912
Tomando logaritmos base 2 en ambos lados, se tiene:
x = log2(536,870,912) = 29
Por lo tanto, si se colocan 2 microbios en el recipiente, se tardará 29 minutos en llenarlo.
Step-by-step explanation:
test for an association between handeness and career for these 5 professions. state the null and alternative hypothesis
Null Hypothesis: There is no association between handedness and career for Accountants. And Alternative Hypothesis: There is an association between handedness and career for Accountants.
Profession 1: Lawyer
Null Hypothesis: There is no association between handedness and career for Lawyers.
Alternative Hypothesis: There is an association between handedness and career for Lawyers.
Profession 2: Pilot
Null Hypothesis: There is no association between handedness and career for Pilots.
Alternative Hypothesis: There is an association between handedness and career for Pilots.
Profession 3: Accountant
Null Hypothesis: There is no association between handedness and career for Accountants.
Alternative Hypothesis: There is an association between handedness and career for Accountants.
Profession 4: Nurse
Null Hypothesis: There is no association between handedness and career for Nurses.
Alternative Hypothesis: There is an association between handedness and career for Nurses.
Profession 5: Teacher
Null Hypothesis: There is no association between handedness and career for Teachers.
Alternative Hypothesis: There is an association between handedness and career for Teachers.
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someone please help me!!!
Answer:112
Step-by-step explanation: the line equals 180 so u do 180-68
A lot of points. PLEASE HELP! I will mark brainliest. Whoever gets it right first.
K.Brew sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the internet. Random samples of sales receipts were studied for mail-order sales and internet sales, with the total purchase being recorded for each sale. A random sample of 18 sales receipts for mail-order sales results in a mean sale amount of $74.90 with a standard deviation of $21.75. A random sample of 9 sales receipts for internet sales results in a mean sale amount of $87.30 with a standard deviation of $19.75. Using this data, find the 95% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases. Assume that the population variances are not equal and that the two populations are normally distributed.
Step 1 of 3: Find the point estimate that should be used in constructing the confidence interval.
Step 2 of 3: Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.
Step 3 of 3: Construct the 95% confidence interval. Round your answers to two decimal places.
Answer:
Step-by-step explanation:
Step 1. The point estimate is the difference between the the mean amount of mail-order purchases and the mean amount of internet purchases. It becomes
74.9 - 87.3 = - 12.4
Step 2. The formula for determining margin of error is expressed aa
Margin of error = z√(s1²/n1 + s2²/n2)
Where
z = z score
s1 = sample standard deviation for data 1
s2 = sample standard deviation for data 2
n1 = number of samples in group 1
n2 = number of samples in group 2
For a 95% confidence interval, the z score is 1.96
From the information given,
s1 = 21.75
n1 = 18
s2 = 19.75
n2 = 9
z√(s1²/n1 + s2²/n2) = 1.96√(21.75²/18 + 19.75²/9) = 1.96 × 8.343
= 16.35
Step 3. Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)
95% Confidence interval = - 12.4 ± 16.35
Of 15 possible books, you plan to take 7 with you on vacation. How many different collections of 7 books can you take?
The number of collections of 7 books can you take is 1685.
What is Algebra?
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
Total books= 15
n = 15 (the number of possible books) and r = 7 (the number of books to be taken).
Now,
To find the number of different collections of 7 books, we can use the formula for combinations. Combinations are ways of selecting items from a collection, such that the order of selection does not matter.
The formula for combinations is:
nCr = n! / (r! (n - r)!)
where n is the number of items in the collection, r is the number of items to be selected, and ! is the factorial operator.
We can plug these values into the formula:
15C7 = 15! / (7! (15 - 7)!)
= 15! / (7! 8!)
= (15 x 14 x 13 x 12 x 11 x 10 x 9 x 8!) / (7! 8!)
= (15 x 14 x 13 x 12 x 11 x 10 x 9) / (7 x 6 x 5 x 4 x 3 x 2 x 1)
= (6435 x 1320) / (5040)
= 8491770 / 5040
= 1685.25
Since we cannot have a fraction of a collection, we round down to get the final answer:
15C7 = 1685
Therefor, by algebra the answer will be 1685.
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Helppppppp me withhhhh question 4
Answer:
11 brushes
Step-by-step explanation:
14+y=25
-14 . -14
y=11
5. A flock of geese flies 50 miles per hour. Write a linear
equation that gives the distance d in miles that the flock
of geese flies in h hours
Answer:
y=50x+0
Step-by-step explanation:
y=mx+b is y-intercept form
I will make x= hours and y= distance (miles)
every 1 you add to x has to represent 50 miles
for the y intercept, it was unspecified so I assumed 0
Hope this helps :)
Answer:
y=50x
Step-by-step explanation:
Please look at the graphs in the photo. Thank you!
(a). The graph of y = -f(x) is shown in the image below.
(b). The graph of y = g(-x) is shown in the image below.
How to draw the graph of the transformed functions?By reflecting the parent absolute value function g(x) = |x + 2| - 4 over the x-axis, the transformed absolute value function can be written as follows;
y = -f(x)
y = -|x + 2| - 4
Part b.
In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = rise/run
Slope (m) = -2/4
Slope (m) = -1/2
At data point (0, 5) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 5 = -1/2(x - 0)
g(x) = -x/2 + 5, -4 ≤ x ≤ 4.
y = g(-x)
y = x/2 + 5, -4 ≤ x ≤ 4.
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Set up the integral that would give the volume V generated by rotating the region bounded by the given curves about the y-axis. y = x3, y = 0, x = 5 Disk/Washer Method v= V = -Cylindrical Shells Method V= V = ---
Integral that would give the volume V generated by rotating the region bounded by the given curves will be 200 pi unit³
Finding the volume of rotation is similar to finding the area of the bounded region of the graphs of the functions. The only difference is the added component added due to the rotation of the bounded region. Now whether we are using disk method or cylindrical shell method to find the volume, we will first set up the integral and its limits of integration, then evaluate this integral.
To find the volume of the solid generated by rotating the region bounded by curves:
(y = x^3 and y = 0) around the y-axis
We use the Cylindrical Shells Method.
First, we need to set up the integral.
We have:
2π∫\(0^5\) x (\(x^3\)) dx.
To solve this integral, we use the power rule for integration.
This states that if we have an integral of \(x^n\), the antiderivative is
x^(n+1)/(n+1).
Therefore, the antiderivative of our integral is 2π∫\(0^5\) x (\(x^3\)) dx.. Now that we have the antiderivative, we can solve the integral by applying the fundamental theorem of calculus.
This states that the integral of a function is equal to the difference between the evaluated antiderivative at the upper and lower limits of the integral.
Therefore, the volume of the solid generated is
V = \([x^5/5]^5_0\) = 2π(\(5^5/5\)) = 200π\(unit^3\).
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Find the solution to the system of equations. -4-3-2-1 4M= 432 21 1 1234 -1 -2 -3 -4 /y = 2x + B 1 2 3 4 y=-x ([?], [])
After solving the equations, the value obtained for x and y will be equal to (-1, 1).
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given equations in the question,
y = 2x + 3 (i)
y = -x (ii)
Substitute equation (ii) in (i)
-x = 2x + 3
-x - 2x = 3
-3x = 3
x = -3/3
x = -1
Substitute x = -1 in equation (i)
y = 2x + 3
y = 2(-1) + 3
y = -2 + 3
y = 1
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graph these equations? y = 3x - 5, y = 1/2x + 5
The solution of the given system of equations is (4, 7).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are y=3x-5 -------(I) and y=1/2 x+5 -------(II)
Substitute equation (I) in (II), we get
3x-5=1/2 x+5
3x-1/2 x=5+5
2.5x=10
x=4
Substitute x=4 in equation (I), we get
y=3(4)-5
y=7
So, solution is (4, 7)
Therefore, the solution of the given system of equations is (4, 7).
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A company that sells paper has a tiered pricing model based on how much paper you buy. If you buy less than 10 reams, they charge you $7 per ream and a shipping cost of $8. If you buy 10 or more reams but less than 20 reams, they charge you $6 per ream and a shipping cost of $16. If you buy 20 or more reams, they charge you $6 per ream and shipping is free.
a. Write a function that models the price in terms of the number of reams bought.
b. What is the domain of the function?
c. What is the range of the function?
d. How much will it cost to buy 25 reams of paper?
f. How much paper can you buy for $60?
The function can be defined as price = 6x
It will cost $150 to buy 25 reams of paper.
How to explain the functionThe domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.
The range of the function is all non-negative real numbers, since the price cannot be negative.
Fir 25 items, price = 6(25) = $150
It will cost $150 to buy 25 reams of paper.
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Find the surface area Find the total surface area of the rectangular prism. 6 1/2 cm 3 3 cm. Please help fast
Step-by-step explanation:
(3•2)+(3•2)+(6.5•3)+(6.5•3)+(2•6.5)+(2•6.5)
=77
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
A study was conducted to determine if the salaries of the professors from two neighbouring universities were
equal. A sample of 20 professors from each university was randomly selected. The mean from the first university
was $109,100 with a population standard deviation of $2300. The mean from the second university was $110,500
with a population standard deviation of $2100. Assume that the distribution of professor salaries, at both
universities, are approximately normally distributed. Level of significance = 0.05.
Use the four-step P-value approach and test the claim that the salaries from both universities are equal.
Answer:
After calculating values from test statics we come to know that value of if null hypothesis is true then it will rejected
As critical values of z is ±1.96 after apply the test statics formula , we get the value of z that is - 4.50 As we consider the equation that
H₀ > z
Apply test statistic we fine the true value . So there is sufficient evidence to reject the claim.
Step-by-step explanation:
critical values z₀ = ±1.96; standardized test statistic z ≅ -4.50;
reject H₀
There is sufficient evidence to reject the claim.
1 The figure shows a rectangle inscribed in a circle.
Determine the area of the shaded region. Use 3.14
for and round to the nearest tenth.
Answer:
46.8 cm²
Step-by-step explanation:
The diagonal of the square has length \(\sqrt{6^2+10^2}=2\sqrt{34}\). Therefore, the radius of the circle is \(\sqrt{34}\), meaning the area is \(\pi(\sqrt{34})^2 \approx 34(3.14)=106.76\).
The area of the rectangle is \((6)(10)=60\) cm².
Subtracting the areas, the answer is 46.76 cm², which is 46.8 cm² to the nearest tenth.
What are the x-intercepts of the graph below ?
Answer:
(3, 0)(-2, 0)Step-by-step explanation:
You want to identify the x-intercepts on the graph.
X-interceptAn "x-intercept" is a point where the graph crosses or touches (intercepts) the x-axis. The y-value there is always 0.
The given graph crosses the x-axis where x = -2 and x = 3. This means the x-intercept points are ...
(-2, 0) and (3, 0)
<95141404393>
Find the area of the factor
Explain step by step for Braininess
Answer:
~78.54 mi^2
Step-by-step explanation:
The area of a circle is defined as π r^2. The radius is 10 miles. 10^2 is 100. 100 x π is roughly 314.16. Since we know the angle is 90 degrees, we know that it makes up one fourth of the entire area. 314.16 divided by 4 is 78.54.
Mr. Thompson's sixth grade class is competing