Answer:
x = 47°
Step-by-step explanation:
This is an exterior angle property, one of the properties in a triangle. The exterior angle theorem states that if a triangle's side gets an extension, then the resultant exterior angle would be equal to the sum of the two opposite interior angles of the triangle.
Answer:
x=45.6
Step-by-step explanation:
(2x-2)+x+45=180
Combine like terms.
3x+43=180
Subtract 43 on both sides.
3x+43=180
-43 -43
3x=137
Divide by 3 on both sides.
3x=137
/3 /3
x=45.6
(I'm not sure if it's right because it's a decimal, but...)hope this helps!!!!! Have an amazing day c:
the eventual success of any system solely depends on how users work with it. True or False
True, the eventual success of any system solely depends on how users work with it.
A system's success is determined by various factors, such as its design, functionality, and compatibility with user needs.
However, user engagement, adaptability, and willingness to work with the system notably contribute to its success.
Users who understand the system's features and can efficiently adapt and utilize them in their workflow contribute to its overall effectiveness.
In contrast, a system with poor user adoption and engagement may not achieve its intended outcomes, regardless of its inherent quality.
So, even if a system is well-designed and has all the necessary features, if users are unable to effectively use it, the system will not achieve its intended purpose.
Thus, user adoption and effective usage are crucial for the success of any system.
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Find a basis of R^3, different from the usual.
2. Indicate if the following statements are true or false. Justify your answer well
a) Polynomials x − 2x^2, x^2 − 4x and −7x + 8x^2 they are a base of P2.
b) Polynomials 4, 2x, −x^3 and 3x^4 they are a base of P4.
c) Polynomials x − 1, (x − 1)(x − 2), (x − 1)(x − 2)(x − 3), x^4 they are a base of P4.
a) False because they do not span the entire space. (b) False,because they do not span the entire space. (c)True.
To find a basis of R^3 different from the usual, we need to choose three linearly independent vectors. We can choose vectors that are not multiples of each other, ensuring linear independence. For example, we can select (1, 0, 0), (0, 1, 0), and (0, 0, 1) as the basis vectors. These vectors span R^3 and are linearly independent, forming a basis for R^3.
a) The polynomials x - 2x^2, x^2 - 4x, and -7x + 8x^2 do not form a basis of P2 because they do not span the entire space. A basis of P2 should consist of three linearly independent polynomials that span P2, meaning any polynomial in P2 can be expressed as a linear combination of the basis polynomials.
b) Similarly, the polynomials 4, 2x, -x^3, and 3x^4 do not form a basis of P4 because they do not span the entire space. A basis of P4 should consist of five linearly independent polynomials that span P4, meaning any polynomial in P4 can be expressed as a linear combination of the basis polynomials.
c) On the other hand, the polynomials x - 1, (x - 1)(x - 2), (x - 1)(x - 2)(x - 3), and x^4 form a basis of P4. These polynomials are linearly independent, meaning none of them can be expressed as a linear combination of the others. They also span P4 since the highest degree polynomial, x^4, is included. Therefore, they form a basis for P4.
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HELP ASAP PLEASE WILL MARK BRAINIEST PLEASEEEEE
Answer:
D. 7 up and 5 left
Step-by-step explanation
Pick any letter and see how you can get it to match the same letter but on the other shape. Ex. letter A if you go up 7 and then go 5 to the left it will be at the exact spot as A'. Hope this helps
What number should be placed in the box to help complete the division calculation?
Answer:
260
Step-by-step explanation:
do number 10 giving brainliest
Answer:
945
Step-by-step explanation:
This is how I got the answer:
First I transformed all of the measurements into feet( there are 3 feet in each yard)
6 feet
6 feet
9 feet
12 feet
Then I added 6 and 12, and 6 and 9= 18x15= 270
And then u multiply 270 by 3.50
which gets u 945
Therefore, his company will charge $945
Results of a study were F (3, 12) = 2.72. Which of the following is the correct statistical decision?
Group of answer choices
Reject the null hypothesis, there was a statistically significant mean difference.
Reject the null hypothesis, there was not a statistically significant mean difference.
Fail to reject the null hypothesis, there was a statistically significant mean difference.
Fail to reject the null hypothesis, there was not a statistically significant mean difference.
How do you find the P-value?
The p-value can be found with the F-distribution table or statistical software. If the p-value is less than or equal to α, then answer is option (a),If the p-value is greater than α, then answer is option (b).
To determine the correct statistical decision based on the given F-statistic, F (3, 12) = 2.72, we need additional information such as the significance level (α) of the hypothesis test. The significance level is a predetermined threshold that is used to assess the statistical significance of the results.
The correct decision depends on whether the calculated p-value, which quantifies the strength of evidence against the null hypothesis, is less than or equal to the significance level (α).
To find the p-value, you would need the F-distribution table or statistical software.
Once you have the p-value, you can compare it to the significance level (α) to make a decision:
If the p-value is less than or equal to α, you would reject the null hypothesis, indicating a statistically significant mean difference.
If the p-value is greater than α, you would fail to reject the null hypothesis, suggesting that there is not a statistically significant mean difference.
Therefore, without the significance level or the p-value, it is not possible to determine the correct statistical decision.
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What were two impacts of the first great depression?
help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1: unemployment (more homeless people)
2: House prices rose down drastically by 70%.
(My sources: TheBalance.com)
a student noticed that when he watches television, he scores lower on his test grades. can one conclude that this negative correlation shows a causal relationship? no, because it is possible that the student gets lower test grades because of another factor, such as studying no, because all students watch television yes, because it is well known that watching television lowers test scores yes, because it is not a positive correlation
The true statement about the correlation is (d) yes, because it is not a positive correlation
How to determine the true statement about the correlation?From the question, we have the following parameters that can be used in our computation:
a student noticed that when he watches television, he scores lower on his test grades
This means that
There is a negative correlation between the student watching television and the student's grade
A negative correlation implies that the student grade would reduce each time he watches television
i.e His scores would reduce if he watches television and his scores would increase if he does not watch television
So, the true statement is (d) yes, because it is not a positive correlation
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
1 1/2 or 1.5
As a simplified fraction
If this helped pls give brainlest.
What subset, a, of the sample space represents the complement of the event in which camille is the final swimmer? a = {cba, cab, bca, acb} a = {abc, bac} a = {cba, cab, bac, bca, acb, abc} a = {ab, ba}
Answer:
the first choice :)
Step-by-step explanation:
Answer:
Option A: A = {CBA, CAB, BCA, ACB}
A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27000 kilograms. Other shipments weighing 7100 kilograms have already been loaded into the container. Use the drop-down menu below to write an inequality representing cc, the total number of 100-kilogram crates that can be loaded into the shipping container.
Therefore, the greatest amount of weight that may be placed into the container is equal to 112 quantities of 100 kilograms each.
What is weight?Generally,Weight already loaded = 12800 kg
Please provide the maximum number of 100-kilogram loads that may be accommodated in the container. = Weight of = 100 kg
In conclusion, This total weight must not exceed the maximum that the container is capable of holding.
\(\begin{aligned}&12800+100 x \leq 24000 \\&100 x \leq 24000-12800 \\&\Rightarrow 100 x \leq 11200 \\&\Rightarrow x \leq 112\end{aligned}\)
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Please help me asap.
Answer:
343
Step-by-step explanation:
\(7^{3}\) represents the third power of 7 and we calculate it by multiplying 7 with itself 3 times as follows:
7*7*7 = 343
\please help me, I have noone to ask for help and this homework is due later at night Linear Systems Social Justice Practice Problem (AFL0 Sweet Shoes Inc. wants to open a new, small factory. Suppose in China they would pay a $1 000 000 fee, and pay 10 people $1/day ($10/day). On the other hand, in Canada, there would only be a fee of $50 370, but they would have to pay their 10 people $90/day ($900/day). After how many days would the costs be equal? What would you advise? Step 1: Define two variables to represent unknown quantities. Step 2: Write equations relating the variables, using information given in the question. Step 3: Solve the linear system of equations. Step 4: State the conclusion. What factors can explain the difference in wages between countries? ( Research, then list three companies that outsource their manufacturing. What advantages might a business have from outsourcing? What are some disadvantages?
Answer:
It would take 1097 days for the costs in Canada to be equal (up to) the cost in China
Step-by-step explanation:
The information given in the question includes;
1) China initial fee = $1,000,000
Number of people = 10
Payment per person per day = $1
Payment for the 10 people per day = $10
Canada initial fee = $50,370
Number of people = 10
Payment per person per day = $90
Payment for the 10 people per day = $900
Step 1: Define the variables to represent unknown quantities
Let the number of days at which the cost would be equal be X
Step 2: The equations relating the variables are;
$1,000,000 + X-days × $10/day = $50,370 + X-days × $900/day
Step 3: To solve the equation we have;
$1,000,000 - $50,370 = X-days × $900/day - X-days × $10/day
$949,360 = X-days × $890/day
X-days = $949,360 ÷ $890/day = 1067 days
Step 4: Conclusion: It would take 1097 days for the costs in Canada to be equal (up to) the cost in China
5) The difference in wages can be explained by the following;
1) Low cost of living in China compared to Canada
2) Higher unemployment figures in China
3) Government policies
6) Companies that outsource their manufacturing includes;
1) Apple 2) Cisco 3) Nike
7) Advantages of outsourcing
a) Acquire skilled labor
b) Reduce the distraction of manufacturing and focus on fundamental pursuits
c) Reduce risks
d) Improve efficiency
e) 24 hours up time business
f) Improved workforce flexibility
g) Service improvement
h) Cost savings
8) Disadvantages of outsourcing
a) Hidden costs of production
b) Potential loss of focus
c) Increased security risks
d) Reduced central control
e) Partake in financial cost of other companies
The perimeter of a rectangular living room is 38 meters. The living room is 9 meters wide how long is it
If the perimeter of a rectangular living room is 38 meters, the length of the living room is 105 meters.
The perimeter of a rectangle is the sum of the lengths of all its sides. Let's denote the length of the living room as "L". The formula for the perimeter of a rectangle is:
Perimeter = 2(length + width)
We know that the width of the living room is 9 meters, and the perimeter is 38 meters. Substituting these values in the formula, we get:
38 = 2(L + 9)
Dividing both sides by 2, we get:
19 = L + 9
Subtracting 9 from both sides, we get:
L = 105
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4x-3y=6
4x+y=14 type a ordered pair
Answer:
(3,2)
Step-by-step explanation:
If you graph the equations, they cross at this point.
a large school surveys 100 people by taking random samples of 10 teachers and 90 students. what type of sample is this
Answer:
Stratified Sampling
Step-by-step explanation:
Stratified sampling involves dividing the population into subpopulations that may differ in important ways. It allows you draw more precise conclusions by ensuring that every subgroup is properly represented in the sample.
To use this sampling method, you divide the population into subgroups (called strata) based on the relevant characteristic (e.g. gender, age range, income bracket, job role).
Based on the overall proportions of the population, you calculate how many people should be sampled from each subgroup. Then you use random or systematic sampling to select a sample from each subgroup.
I hope this helped!
A. joy purchased s dollars worth of stock using a broker from glen head brokerage firm. the
current value of her portfolio is $21,771. express algebraically the broker fee she must
pay for this transaction.
4
The broker fee Joy must pay for this transaction is given by the expression 21,771 - s, where 's' represents the amount she invested in dollars.
The current value of Joy's portfolio is $21,771. She purchased the stocks using a broker, and we need to find the broker fee 'f'.
The total cost of the transaction, including the broker fee, would be the current value of the portfolio. Therefore, we can set up the equation:
s + f = 21,771
Since we are solving for 'f', we rearrange the equation:
f = 21,771 - s
The broker fee Joy must pay for this transaction is given by the expression 21,771 - s, where 's' represents the amount she invested in dollars.
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please help picture below
Answer:
4 cups
Step-by-step explanation:
Given the point (8, 1 )
This tells us that 1 cup can be filled using 8 fluid ounces
Divide 32 by 8 to find number of cups
32 ÷ 8 = 4
Then 4 cups can be filled from 32 fluid ounces
Plot the point (32, 4 ) on the grid
Answer:
1). 4 glasses
2). The graph of a line whose equation is; y = \(-\frac{1}{8}x + \frac{63}{64}\)
Step-by-step explanation:
The container has 32 fl oz of orange juice.
He is filling glasses with the juice; such that each glass will hold one cup of the juice.
From the graph, 8 ounces of juice goes into one cup (equivalent of one glass)
So we expect Enrique to fill 32 ÷ 8 = 4 glasses
The graph is the line passing through points (8,1) and (32,4) whose equation is;
y = \(-\frac{1}{8}x + \frac{63}{64}\)
For a particular cleaning product, it is recommended that 4 ounces of product are diluted using 20 ounces of water. Which of the following fractions represents the recommended ratio of cleaning product to water?
A. 1/5
B. 5/1
C. 1/6
D. 6/1
E. 5/6
The ratio of cleaning product to water for the condition is 1/5
What are ratios?Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorize ratios. Part to whole ratio is one, and part to part ratio is the other.
Given it is recommended that 4 ounces of the product are diluted using 20 ounces of water.
to find the ratio of cleaning products to water
ratio = cleaning product/water
cleaning product = 4 ounce
water = 20 ounces
ratio = 4/20
4/20 is equivalent to 1/5
ratio = 1/5
Hence option A is correct.
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Two sides of an acute triangle measure 5 inches and 8 inches. The length of the longest side is unknown.
What is the greatest possible whole-number length of the unknown side?
O 8 inches
O 9 inches
O 12 inches
O 13 inches
Answer:
9
Step-by-step explanation:
Which lists the amount of education required for the Government and Public Administration careers from least to greatest
The correct list for the education required for Government and Public Administration careers from least to greatest is : (b) Meter Reader, Army Officer, Legislator, Urban Planning Specialist.
In terms of the amount of education required for the listed careers in Government and Public Administration, the order from least to greatest would be as follows:
(i) Meter Reader: A high school diploma or equivalent is sufficient for this role, although some additional training may be required.
(ii) Army Officer: This career in the military requires a bachelor's degree or higher education, depending on the specific branch and position.
(iii) Legislator: There are no specific educational requirements to become a legislator. Many legislators have a college degree or higher education, but it is not mandatory.
(iv) Urban Planning Specialist: A bachelor's degree in urban planning or a related field is required for this position. Some positions may require a master's degree or higher education in urban planning or a related field.
Therefore, the correct option is (b).
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The given question is incomplete, the complete question is
Which lists the amount of education required for the Government and Public Administration careers from least to greatest?
(a) Army Officer, Meter Reader, Legislator, Urban Planning Specialist
(b) Meter Reader, Army Officer, Legislator, Urban Planning Specialist
(c) Urban Planning Specialist, Legislator, Army Officer, Meter Reader
(d) Legislator, Meter Reader, Urban Planning Specialist, Army Officer
the ramirez drove 200 miles using 10 gallons of gas they drove 280 miles using 14 gallons of gas how many miles did they drive per gallon
Answer:
Step-by-step explanation:
in this problems you will consider paths on the integer grid that start at (0,0) in which every step increments one coordinate by 1 and leaves the other unchanged. a) (4 points) how many such paths are there from (0,0) to (85, 65)?
The number of such paths from (0,0) to (85,65) is C(150, 85).
What is co-ordinate ?
In mathematics, a coordinate is a pair of numerical values that represent a specific location on a two-dimensional surface, such as a graph, a map, or an image. The two values are usually referred to as the x-coordinate and the y-coordinate.
A path from (0,0) to (85,65) on the integer grid that starts at (0,0) and increments one coordinate by 1 and leaves the other unchanged at each step is equivalent to a sequence of 85 "right" steps and 65 "up" steps. The number of ways to arrange these steps is given by the binomial coefficient C(85+65, 85), which is the number of ways to choose 85 items (the "right" steps) from a set of 150 items (85 "right" and 65 "up" steps) without replacement and where order matters.
The general formula for the binomial coefficient is C(n, k) = n! / (k!(n-k)!), where n! is the factorial of n, i.e., the product of all integers from 1 to n, and k! is the factorial of k. Using this formula, we have:
C(150, 85) = 150! / (85!(150-85)!) = (150149148*...6665) / (858483*...1) = (150149148...6665) / (85!)
So, the number of such paths from (0,0) to (85,65) is C(150, 85).
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How do you find ‘a’?
Answer:
a = 105 degrees
Step-by-step explanation:
straight line = 180 degrees
180 - 140 = 40 degrees
180 - 145 = 35 degrees
total angles of triangle = 180 degrees
a + 40 + 35 = 180
a + 75 = 180
a = 105 degrees
Answer:
a = 105°
Step-by-step explanation:
Use the supplements of the angles near A and B.
180 - 140 = 40
The interior angle near A measures 40°.
180 - 145 = 35
The interior angle near B measures 35°
Now use the sum of the measures of the angles of a triangle:
The sum of the measures of the interior angles of a triangle is 180°
a + 40 + 35 = 180
a + 75 = 180
a = 105
Using K-map, simplify the following equation and draw its simplified logical circuit ABC + CD + ACD + BCD + B + AC + BD = X
By using a Karnaugh map (K-map), the given equation ABC + CD + ACD + BCD + B + AC + BD has been simplified to X.
To simplify the equation using a Karnaugh map, we first construct a 4-variable K-map, with variables A, B, C, and D. We then map the minterms of the given equation onto the K-map. By grouping adjacent 1s in the K-map, we can identify common terms that can be simplified.
After analyzing the K-map, we find that the minterms ABC, ACD, and BCD can be grouped together to form the term AC. Additionally, we can group the minterms CD and BD to obtain the term D. Finally, the remaining terms B and AC can be combined to form the simplified expression X.
The simplified equation is X = AC + D. This expression represents the minimized form of the given equation. To implement the simplified logical circuit, we can use logic gates such as AND and OR gates. The inputs of the circuit are A, B, C, and D, and the output is X. By connecting the appropriate gates based on the simplified expression, we can create the logical circuit that represents the simplified equation.
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anyone else’s brainly heating up their phone like crazy
Mine is not heating up I don't know about others
Let x, y, and z represent three rational numbers, such that y is 512 times x and z is 50.25 more than x. If y=15.5, what is the value of z?
Z=
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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A man runs at a speed of 8 m/s for 15 seconds. Calculate how far it travles.
Answer:120 meters
Step-by-step explanation:
8 × 15
Answer:
120 m
Step-by-step explanation:
Speed = 8 m/s
Distance traveled in 1 sec = 8 m
Distance traveled in 15 sec = 8 * 15 = 120 m
One of the legs of a right triangle measures 13 cm and its hypotenuse measures 18 cm. Find the measure of the other leg
Answer: sqrt(155)
Step-by-step explanation: