Answer:
x^2-10x+25
Step-by-step explanation:
(a+b)^2=a^2+2ab+b^2 so a=x and b=-5 so the expression is x^2-10x+25
Answer:
x^2-10x+25
Step-by-step explanation:
Distribute
(x-5)(x-5)
x(x-5)-5(x-5)
Distribute again
x(x-5)-5(x-5)
x^2-5x-5(x-5)
Distribute one last time
x^2-5x-5(x-5)
x^2-5x-5x+25
combine like terms
x^2-5x-5x+25
x^2-10x+25
:-27 = 17
m
Solve:
A
m=
212
Answer:
-3 =m
Step-by-step explanation:
-27/m = 117/13
Solve for m
We can use cross products
-27 * 13 = 117 * m
Divide each side by 117
-27 * 13 /117 = 117*m/117
-351/117 = m
-3 =m
Answer:
m = 3
Step-by-step explanation:
\(\frac{27}{m} =\frac{117}{13}\)
To solve for m, first, use cross multiplication.
\(27*13=117*m\)
\(351=117m\)
And now, divide both sides by 117.
m = 3
PKEASE HELPPP 15 POINTSSSSSSSSSSss
Answer: you can see herhere
Step-by-step explanation:
try times like x=1 and find the answer true
are all negative numbers really 0
Answer:
Thus every real number other than zero is either positive or negative, while zero itself is not considered to have a sign. Positive numbers are sometimes written with a plus sign in front, e.g. +3 denotes a positive three.
The box plots summarize the number semester hours students enrolled in a university and a community college completed during the fall semester.
fall semester,. university,. community college,. number of semester hours,.
Which statement is best supported by the data in the box plots?
The statement that is best supported by the data in the box plots is:
The median of the university is greater than community college.
The interquartile range for community college is greater than for university.
Options A and C are the correct answer.
We have,
From the box plot.
University
Median = 15
Highest hours = 16
Lowest hours = 6
Range = 16 - 6 = 10
First quartile = 9
Third quartile = 15
IQR = 15 - 9 = 6
Community college
Median = 13
Highest hours = 18
Lowest hours = 3
Range = 18 - 3 = 15
First quartile = 6
Third quartile = 15
IQR = 15 - 6 = 9
We see that,
The median of the university is greater than community college.
The interquartile range for community college is greater than for university.
Thus,
The median of the university is greater than community college.
The interquartile range for community college is greater than for university.
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Which number is irrational?
A. square root of 5
B. 0.777...
C. 0.454545...
D. 0.3
Answer:
A
Step-by-step explanation:
The square root of 5 is irrational because it cannot be expressed as a fraction.
Meanwhile, all 3 other answer choices are not irrational because they can be put into fraction form.
Answer:
irrational numbers are number that can't be written in a/b form where a and b are integers and b≠0
if it repeats, it can be written as a fraction
if it terminates, it can also be written as a fraction
if you have a square root that doesn't simplify nicely, we assume it to be irrational
so
A. 0.454545=45/99
B. irrational
C. 7/9
D. 3/10
To check the accuracy of a graduated cylinder, a student filled the cylinder to the mark of 25ml and then compared the measured volume to the actual volume using a buret. The results of five trails are recorded. The graduated cylinder is...
The graduated cylinder is being checked for accuracy by comparing the measured volume to the actual volume using a buret. The student filled the cylinder to the mark of 25ml and then recorded the results of five trials.
To determine if the graduated cylinder is accurate.
The measured volume from the cylinder should be close to the actual volume measured by the buret.
If the measured volume consistently matches the actual volume within an acceptable range, then the graduated cylinder can be considered accurate.
However, if there is a significant discrepancy between the measured and actual volumes in multiple trials, then the graduated cylinder may not be accurate and may require calibration or replacement.
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The accuracy of the graduated cylinder can be evaluated by comparing the measured volumes to the actual volumes using a buret. The student should analyze the results of the trials and calculate the average difference to draw a conclusion about the cylinder's accuracy.
To check the accuracy of a graduated cylinder, a student filled it to the mark of 25ml and compared the measured volume to the actual volume using a buret. The results of five trials are recorded.
To determine the accuracy of the graduated cylinder, the student needs to compare the measured volume to the actual volume. If the measured volume matches the actual volume, the graduated cylinder is accurate. However, if there is a discrepancy, the cylinder may be inaccurate.
The student performed five trials and recorded the results. By comparing the measured volumes to the actual volumes for each trial, the student can analyze the consistency of the measurements.
To draw a conclusion, the student should calculate the average difference between the measured volumes and the actual volumes for all five trials. If the average difference is small, it suggests that the graduated cylinder is accurate. Conversely, if the average difference is significant, it indicates that the cylinder may be inaccurate.
By comparing the results of the trials and calculating the average difference, the student can determine whether the graduated cylinder is accurate or not.
In conclusion, the accuracy of the graduated cylinder can be evaluated by comparing the measured volumes to the actual volumes using a buret. The student should analyze the results of the trials and calculate the average difference to draw a conclusion about the cylinder's accuracy.
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The scale of a map says that 8 cm represents 5 km.
What distance on the map (in centimeters) represents an actual distance of 8 kilometers?
____ centimeters
What is the actual number of kilometers that is represented by 5 centimeters on the map?
____ kilometers
Please help
Answer:
1) 12.8cm
2) 3.125km
Step-by-step explanation:
1) 8cm = 5km
1km= 8/5
1km = 1.6cm
8km = 8*1.6
8km = 12.8cm
2) 8cm = 5km
1cm = 5/8
5cm = (5*5)/8
5cm= 25/8
5cm= 3.125km
Answer:
1) 12.8cm
2) 3.125km
which integer conversion specifier would display the hexadecimal digit a? a) H b) h c) Xd) x
The integer conversion specifier that would display the hexadecimal digit "a" is "x".
d) x
To display the hexadecimal digit "a" using an integer conversion specifier.
The "x" specifier is used for displaying an integer value in hexadecimal format with lowercase letters (i.e., a, b, c, etc.), while "X" would display the value in uppercase letters (i.e., A, B, C, etc.).
Options "H" and "h" are not standard integer conversion specifiers for displaying hexadecimal values.
Hence d) x is correct.
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A rectangle has a length of 12 meters and a width of 400 centimeters. What is the perimeter,
in cm, of the rectangle?
A. 824
B. 1,600
C. 2.000
D. 3,200
Answer:
D.3200
There are two ways to solve this question
1. 1200+1200+400+400=3200cm
2. 2(1200+400)=3200cm
notice that you need to convert the length into cm
i.e.12*100=1200cm
Answer:
32000
Step-by-step explanation:P=2[L+W]
Use the diagram below to determine the height of the flagpole.
Answer:
12 feet
Step-by-step explanation:
according to statistics reported on cnbc, a surprising number of motor vehicles are not covered by insurance. sample results, consistent with the cnbc report, showed 46 out of 200 vehicles were not covered by insurance. Develop a 95% confidence interval for the population proportion
The 95% confidence interval for the given population proportion is between 0.1716 to 0.2884.
How to find the confidence interval for a population proportion?The confidence interval for a population proportion is calculated by the formula,
\(C.I = \bar{p}\pm z_{\alpha/2}\sqrt{\frac{\bar{p}(1-\bar{p})}{n} }\)
Where \(\bar{p}\) is the sample proportion and α is the level of significance.
Calculation:It is given that,
The statistics reported on CNBC projects, a surprising number of motor vehicles are not covered by insurance. The sample results are
The sample size n = 200;
The number of successes = 46
So, the sample proportion \(\bar{p}\) = 46/200 = 0.23
For a 95% confidence interval, the level of significance is
α = 1 - 95/100 = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
Then, the z-score for the value 0.025 is
\(z_{\alpha/2}\) = 1.96 (from the table)
Thus, the confidence interval is
\(C.I = \bar{p}\pm z_{\alpha/2}\sqrt{\frac{\bar{p}(1-\bar{p})}{n} }\)
⇒ C.I = 0.23 ± (1.96) × \(\sqrt{\frac{0.23(1-0.23)}{200} }\)
⇒ C.I = 0.23 ± 1.96 × 0.0298
⇒ C.I = 0.23 ± 0.0584
So, the upper limit is 0.23 + 0.0584 = 0.2884 and the lower limit is 0.23 - 0.0584 = 0.1716.
Therefore, the 95% confidence interval for the given population proportion lies between 0.1716 to 0.2884.
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Consider the given pseudo code. Write the function T(n) in terms of the number of operations, and then give the asymptotic (big Oh) complexity of the algorithm, show all the work you do. [ write the summation formula and solve it, or use the "Look for pattern"method. a. Matrix Multiplication
The function T(n) in terms of the number of operations is:
T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).
To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.
The pseudo code for matrix multiplication may look something like this:
```
MatrixMultiplication(A, B):
n = size of matrix A
C = empty matrix of size n x n
for i = 1 to n do:
for j = 1 to n do:
sum = 0
for k = 1 to n do:
sum = sum + A[i][k] * B[k][j]
C[i][j] = sum
return C
```
Let's break down the number of operations step by step:
1. Assigning the size of matrix A to variable n: 1 operation
2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)
3. Outer loop: for i = 1 to n
- Incrementing i: n operations
- Inner loop: for j = 1 to n
- Incrementing j: n^2 operations (since it is nested inside the outer loop)
- Initializing sum to 0: n^2 operations
- Innermost loop: for k = 1 to n
- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)
- Performing the multiplication and addition: n^3 operations
- Assigning the result to C[i][j]: n^2 operations
- Assigning the value of sum to C[i][j]: n^2 operations
Total operations:
1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1
Therefore, the function T(n) in terms of the number of operations is:
T(n) = 2n^3 + 3n^2 + 2n + 1
To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.
In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).
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Let T--> Mn,n --> R be defined by T(A) = a11 + a22 + ... + ann (the trace of A). Prove that T is a linear transformation.
Since both additivity and homogeneity conditions are met, we can conclude that T is a linear transformation.
To prove that T is a linear transformation, we need to demonstrate that it satisfies the following two conditions:
1. Additivity: T(A + B) = T(A) + T(B) for any matrices A and B in Mn,n.
2. Homogeneity: T(cA) = cT(A) for any matrix A in Mn,n and scalar c in R.
Let's start with additivity. Given two matrices A and B in Mn,n, their sum (A + B) has elements (a_ij + b_ij) in each position (i, j). Now let's find T(A + B):
T(A + B) = (a11 + b11) + (a22 + b22) + ... + (ann + bnn)
By splitting this sum into two separate sums, we have:
T(A + B) = (a11 + a22 + ... + ann) + (b11 + b22 + ... + bnn) = T(A) + T(B)
Therefore, the additivity condition is satisfied.
Now, let's consider the homogeneity condition. Given a matrix A in Mn,n and a scalar c in R, let's find T(cA). When we multiply A by c, each element becomes (c * a_ij):
T(cA) = c * a11 + c * a22 + ... + c * ann
By factoring out the scalar c, we have:
T(cA) = c(a11 + a22 + ... + ann) = cT(A)
Thus, the homogeneity condition is satisfied.
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will give brainliest please help
Simplest form please
1; h+6h
2; 10k-k
Answer:
7h
9k hope this helps (:
Step-by-step explanation:
Which function below has the following domain and range?
Domain: {-9,-5,2,6,10}
Range: {-2,0,8}
A: {(-2,-5),(8,10),(0,6),(-2,-9),(0,2)}
B: {(-9,-2),(-5,0),(2,8),(6,5),(10,9)}
C: {(-9,10),(-2,8)}
D: {(2,0),(-5,-2),(10,8),(6,0),(-9,-2)}
Answer:
D is the right answer because it has all the elements of domain and range
Alex feeds his turtle 3 ounces of food If Alex feeds his turtle the same amount of food twice a day how much food will
he feed the his turtle in a week?
Answer:
42 ounces
Step-by-step explanation:
3 ounces times 2 is 6 ounces each day and 6 x7 is 42.
Himpunan penyelesaian dari :
18 - 2x < 3.(2x - 1) - 3
adalah ….
Step-by-step explanation:
18-2x<3(2x-1)-3
21-2x<6x-3
24<8x
3<x
Interval notation
(3, ∞)
1+1x5
Easy points for ya guys
100 points be safe and healthy love you all
I’ll do more of these
Answer:
10 eheyyahwhwhahwhwhwhwhwhhe
Line e is a segment bisector of AB at point M. If AM = 4n-40 & MB = 7(-2n+2), find the value of n.
Answer:
the answer orange is n=3
the melting point of each of 16 samples of a certain brand of hydrogenated vegetable oil was determined, resulting in a sample mean of 94.32. assume the distribution of melting point is normal with a population standard deviation of 1.20. does the true mean melting point differ from 95? use a significance level of 0.01
We do not have enough evidence to conclude that the true mean melting point differs from 95 at a significance level of 0.01.
To determine if the true mean melting point differs from 95, we can use a one-sample t-test with a significance level of 0.01.
The null hypothesis is that the true mean melting point is equal to 95, and the alternative hypothesis is that the true mean melting point is different from 95.
We can calculate the t-statistic using the formula:
t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))
where sample size is 16, sample mean is 94.32, hypothesized mean is 95, and sample standard deviation is the same as the population standard deviation of 1.20.
Plugging in these values, we get:
\(t = (94.32 - 95) / (1.20 / \sqrt{(16)} ) = -2.6667\)
Using a t-distribution table with 15 degrees of freedom (n-1=16-1), and a two-tailed test at a significance level of 0.01, the critical t-value is ±2.947.
Since our calculated t-value of -2.6667 falls within the acceptance region (-2.947 < -2.6667 < 2.947), we fail to reject the null hypothesis.
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Find the value of x? LESSON Measuring Angles and Arcs Explain your reason
Answer:
50
Step-by-step explanation:
Sum of angles in a circle is 360,
145 + 165 + x = 360
310 + x = 360
x = 360 - 310
x = 50
Using y=mx+b find the slope for
y= -4/3 x - 1
Answer:
-4/3
Step-by-step explanation:
Trust me
Joe spent $48 on fruit at the grocery store. He spent a total of $50 at the store. What percentage of the total did he spend on fruit?
Answer:
96%
Step-by-step explanation:
Take the amount spent of fruit and divide by the total
48/50
Percent means out of 100 so multiply the top and bottom by 2
96/100
96%
Answer:
If Joe has a total of 50 dollars and uses only 48 dollars and you are trying find the percentage of how much he spent, all you need to do is take the amount of money he use dives it by how much money he had in the beginning. Then multiply the number by 100 to get the percentage.
48/50=.96
.96*100=96%
In total he spent 96% of his money.
2-simplifica
1)x²-5x-16
x+2=
2)6an²-3b²n²
b4-4ab²+4a²=
3)4x²-4xy+y²
5y-10x
4)n+1-n³-n²
n³-n-2n²+2=
5)17x³y4z6
34x7y8z10=
6)12a²b³
60a³b5x6=
1. x² - 5x - 16 can be written as (x - 8)(x + 2).
2. 6an² - 3b²n² = n²(6a - 3b²).
3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².
4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
5. 17x³y⁴z⁶ = (x²y²z³)².
6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
Let's simplify the given expressions:
Simplifying x² - 5x - 16:
To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.
Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).
Simplifying 6an² - 3b²n²:
To simplify this expression, we can factor out the common term n² from both terms:
6an² - 3b²n² = n²(6a - 3b²).
Simplifying 4x² - 4xy + y²:
This expression represents a perfect square trinomial, which can be factored as (2x - y)².
Simplifying n + 1 - n³ - n²:
Rearranging the terms, we have -n³ - n² + n + 1.
Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
Simplifying 17x³y⁴z⁶:
To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:
17x³y⁴z⁶ = (x²y²z³)².
Simplifying 12a²b³:
To simplify this expression, we can multiply the exponents of a and b with the given expression:
12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
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Factor the expression using the GCF 7+14
Answer:
We found the factors and prime factorization of 7 and 14. The biggest common factor number is the GCF number. So the greatest common factor 7 and 14 is 7.
Step-by-step explanation:
The value of the Expression 7+ 14 using the GCF is 21.
What is Greatest Common Factor?The largest factor that splits both numbers is said to be the greatest common factor. List the prime factors of each integer before calculating the greatest common factor. One 2 and one 3 are shared by those aged 18 and 24. The GCF of 18 and 24 is 2 * 3 = 6, which we multiply to obtain.
Given:
We have to add 7 + 14
Factorise the terms separately
7 = 7 x 1
14 = 7 x 2
So, the Greatest Common Factor is 7.
Thus, 7+ 14 = 7(1+ 2) = 7 x 3= 21
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At a wedding there were 40 people from gromms side and 56 people from bride's family at the wedding
find the ratio of the groom's family to the bride's family at the wedding
Answer:
5 : 7
Step-by-step explanation:
groom's side: 40
bride's side: 56
ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7
Answer: 5 : 7
can anyone answer this with expanation?
18. ∆PQR =~ ∆RPA ( by SAS )
19. ∆DQR =~ ∆PQR ( by AAS )
20. ∆ARO =~ ∆PQO ( by AAS )
What is the mean of the data set? 1, 1, 2, 1, 3, 2, 2, and 3
Answer:
the mean is 1.875
Step-by-step explanation:
1+1+1+2+2+2+3+3=15
15/8 = 1.875
mean Is sum of all numbers divided by total amount of numbers
Part B
Think about graphing the relationship between the length and the width of the TV screens. What do you predict the graph
would look like?
Answer:
They would be perpendicular to each other.
One would have a slope of 0 (horizontal line) and the other would have an undefined slope (vertical line)
Step-by-step explanation:
The value of x is:
.
9.
18.
None of these choices are correct.
Hello!
In the given figure we can see that it is a right angled triangle .
Where,
Base is 9
We have to find the value of x i.e Hypotenuse
Here we are given base and we need to find the Hypotenuse.
Also we have been given the value of theta = 45°
Using trigonometric ratio :
cos \(\theta = \dfrac{ B}{H} \)
As per the question we have hypotenuse = x
Plugging the required values,
\( \cos 45 \degree = \dfrac{9}{x} \)
\( \dfrac{1}{ \sqrt{2} } = \dfrac{9}{x} \: \: \: \: \bigg(\because \cos 45\degree = \dfrac{1}{\sqrt2} \bigg)\)
further solving by cross multiplication
\(x = 9 \sqrt{2} \)
Hence, The value of x is 9√2
Answer : Option 1
Hope it helps! :)