Answer:
67 degrees by rule of SAS
Step-by-step explanation:
The picture tells us these are two different isosceles triangles joined together and only two side and one angle is congruent with the other = By rule of SAS triangle 1 top angle is 180-68-68 = 44 degree and t2 = 90 - 44 = 46 for triangle 2 top meaning base angles each are (180-46) /2 = 134/2 = 67 degree
Step-by-step explanation:
The isosceles triangle ;
so 68 + 68 + the another angle = 180
the another angle = 44
So 90 - 44 = 46
The isosceles triangle ;
46 + x + x = 180
2x = 134
x = 67
Please give me a brainliest answer
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)
___________
\( \: \)
\(\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}\)
Step by step :This is question no picture soo iam in step question before.
x² = 3² + 4²
x² = 9 + 16
x² = 25
x = 5yd✔
HELP PLS IM PANICKING
Choices are are
A. 270
B. 180
C. 90
D. 360
Answer:
A or c
Step-by-step explanation:
I don't know if it's counter or regular clockwise but it's A if clockwise and c if counter.
explain why the nth triangular number tnis given by tn= 1 2 3 4 ··· n.
The nth triangular number tn is given by tn= 1 2 3 4 ··· n because sum of the first n positive integers is equal to the nth triangular number
The nth triangular number, denoted by tn, is defined as the sum of the first n positive integers.
In general, we can see that the nth triangular number is equal to the sum of the first n positive integers:
t_n = 1 + 2 + 3 + ... + n
This can be proven by using mathematical induction or by using the formula for the sum of an arithmetic series:
S_n = n/2 × (a_1 + a_n)
where S_n is the sum of the first n terms of an arithmetic series, a_1 is the first term, and a_n is the nth term.
If we let a_1 = 1 and a_n = n, then we get:
S_n = n/2 × (1 + n)
which simplifies to:
S_n = (n^2 + n)/2
This formula gives us the sum of the first n positive integers, which is equal to the nth triangular number:
t_n = S_n = (n^2 + n)/2
Therefore, we have shown that the nth triangular number is given by tn = 1 + 2 + 3 + ... + n.
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How many distinct sets of all 4 quantum numbers are there with n = 4 and ml = -2?
There are two distinct sets of all four quantum numbers with n = 4 and ml = -2:
(n = 4, l = 2, ml = -2, ms = +1/2)
(n = 4, l = 2, ml = -2, ms = -1/2)
To determine the number of distinct sets of all four quantum numbers (n, l, ml, and ms) with n = 4 and ml = -2, we need to consider the allowed values for each quantum number based on their respective rules.
The four quantum numbers are as follows:
Principal quantum number (n): Represents the energy level or shell of the electron. It must be a positive integer (n = 1, 2, 3, ...).
Azimuthal quantum number (l): Determines the shape of the orbital. It can take integer values from 0 to (n-1).
Magnetic quantum number (ml): Specifies the orientation of the orbital in space. It can take integer values from -l to +l.
Spin quantum number (ms): Describes the spin of the electron within the orbital. It can have two values: +1/2 (spin-up) or -1/2 (spin-down).
Given:
n = 4
ml = -2
For n = 4, l can take values from 0 to (n-1), which means l can be 0, 1, 2, or 3.
For ml = -2, the allowed values for l are 2 and -2.
Now, let's find all possible combinations of (n, l, ml, ms) that satisfy the given conditions:
n = 4, l = 2, ml = -2, ms can be +1/2 or -1/2
n = 4, l = 2, ml = 2, ms can be +1/2 or -1/2
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Principal: $250
Annual Rate: 5%
Time (years): 10
Find the simple interest
Using the value of principal, annual rate and time, the simple interest is $375
What is simple interestSimple interest is a method of calculating the interest charge on a loan or deposit. It is based on the principle of earning interest only on the initial amount (principal) that was borrowed or deposited.
The formula for simple interest is:
I = P * r * t
where:
I is the interest amount
P is the principal amount
r is the interest rate (expressed as a decimal)
t is the time period (in years)
In the given problem, we can calculate the simple interest by substituting the values into the formula
A = P(1 + rt)
A = 250(1 + 0.05(10))
A = 375
The simple interest is $375
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A number consists of two digits. The sum of digits is 8. If digits are interchanged, then new number becomes 36 less than the original number. Find the number using Cramer's Rule.
Answer: the original number is 62
Step-by-step explanation: Let’s solve this problem using Cramer’s Rule. Let the ten’s digit be x and the unit’s digit be y. Then the original number is 10x + y. If we interchange the digits, the new number becomes 10y + x. According to the problem, the sum of the digits is 8, so we can write the first equation as x + y = 8. The new number is 36 less than the original number, so we can write the second equation as 10y + x = 10x + y - 36. Simplifying this equation gives us 9y - 9x = -36 or y - x = -4.
Now we have a system of two linear equations: x + y = 8 y - x = -4
We can solve this system using Cramer’s Rule. The determinant of the coefficient matrix is |1 1| |-1 1| = 1 * 1 - (-1) * 1 = 2.
The determinant of the matrix obtained by replacing the first column of the coefficient matrix with the constants is |8 1| |-4 1| = 8 * 1 - (-4) * 1 = 12.
The determinant of the matrix obtained by replacing the second column of the coefficient matrix with the constants is |1 8| |-1 -4| = 1 * (-4) - (-1) * 8 = -4.
According to Cramer’s Rule, x = Dx/D = 12/2 = 6 and y = Dy/D = (-4)/2 = -2.
So, the original number is 62.
You are the office manager of a large firm. your company prides itself on its high-quality customer service. lately, complaints have surfaced that an increased number of incoming calls are being misrouted or dropped. yesterday, when passing by the main reception area, you noticed the receptionist fiddling with his hearing aid. in the process, a call came in and would have gone unanswered if not for your intervention. this particular receptionist had earned an unsatisfactory review three months earlier for tardiness. your inclination is to urge this 20-year employee to retire or to fire him, if retirement is rejected, but you know the individual is well liked and seen as a fixture in the company.
a) pose several hypotheses that might account for dropped or misrouted incoming calls.
b) using the double movement of reflective thought, show how you would test these hypotheses.
The manager is considering urging the receptionist to retire or, if retirement is rejected, firing them due to previous performance issues. To address the situation, the manager needs to formulate hypotheses to explain the call issues and devise a plan to test them.
Several hypotheses can be considered to account for the dropped or misrouted incoming calls. These hypotheses could include technical issues with the phone system, insufficient training or knowledge of the receptionist, hearing impairment affecting the ability to handle calls effectively, or a lack of focus due to personal distractions.
To test these hypotheses using the double movement of reflective thought, the manager can follow a structured approach. Firstly, they can gather data and evidence related to the call issues, such as logging instances of misrouted or dropped calls, tracking response times, and documenting specific complaints. This data will help identify patterns and potential causes.
Next, the manager can conduct interviews or hold discussions with the receptionist to gather information about their experiences, challenges, and any potential barriers to effectively handling calls. This dialogue can provide insights into the receptionist's technical knowledge, training needs, or any personal factors affecting their performance.
Additionally, the manager can involve the IT department to evaluate the phone system for technical glitches or misconfigurations that may contribute to call issues. They can conduct tests, monitor call routing processes, and assess the overall functionality of the system.
Furthermore, the manager may consider providing additional training or support to address any identified knowledge gaps or skill deficiencies. This could include customer service training, phone system training, or even accommodating the receptionist's hearing impairment with appropriate assistive devices.
By systematically testing these hypotheses and gathering relevant data, the office manager can make an informed decision about the underlying causes of the call issues and take appropriate actions to improve customer service without immediately resorting to retirement or termination.
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Troy is writing a book of short stories. It is his
goal to write one short story this month, two
short stories next month, three short stories
the following month, and so on for 13 more
months. How many stories will he have written
at the end of sixteen months?
Answer:
91 short stories
Step-by-step explanation:
You just add 1 + 2 + 3 + 4 + 5 + 6... all the way to 13, and then at the end of 16 months, Troy still only wrote 91 stories since he only wrote them up until 13 months, and then stopped afterwards.
Which range of y values makes
this inequality true?
0.6y < 15
Pls help
Answer:
yes this is true helpful answer
Suppose random variable X has the following probability density function (PDF):
fX(x) = { cx^2 for 0 ≤ x ≤ 2,
{ 0 otherwise
Find the value of c.
Compute P (X > 3/2).
Find FX(x), the cumulative distribution function (CDF) of X. Recall that the CDF is defined for all real x.
Find E[X] and Var(X).
The E(X) is 3/2 and the Var(X) is 3/40.Given probability density function (PDF) as:
fX(x) = { cx² for 0 ≤ x ≤ 2, { 0 otherwise To find the value of 'c' we will use the property that the area under the probability density function from 0 to 2 should be equal to 1.
Mathematically,∫fX(x) dx = ∫cx² dx = 1
=> [c (x³/3)]₀² = 1
=> (8/3) c = 1
=> c = 3/8
Thus, the value of c is 3/8.
To compute P(X > 3/2), we need to integrate the PDF from 3/2 to 2, asX> 3/2 for given distribution.
∫3/2² (3/8)x² dx
= [x³/8]₃/₂²
= (1/2) - (27/64)
= 19/64
Hence, P(X > 3/2) = 19/64
To find the cumulative distribution function (CDF), we integrate the PDF from -∞ to x.
FX(x) = ∫ fX(x) dx 0 ≤ x ≤ 2,
= ∫0x 3/8 x² dx 0 < x < ∞
= [x³/24]₀², 0 ≤ x ≤ 2
FX(x) = { 0 for x < 0 { x³/24 for 0 ≤ x ≤ 2 { 1 for x > 2
The expected value or mean of the probability distribution is given as,
E(X) = ∫xfX(x) dx
= ∫₀² x × (3/8) × x² dx
= (3/8) ∫₀² x³ dx
= (3/8) [(x⁴/4)]₂₀
= 3/2
The variance of the probability distribution is given by,
Var(X) = E(X²) - [E(X)]²
= ∫₀² x²(3/8) x² dx - [3/2]²
= (3/8) ∫₀² x⁴ dx - 9/4
= (3/8) [(x⁵/5)]₂₀ - 9/4
= (3/8) (32/5) - 9/4
= 3/40
Hence, the E(X) is 3/2 and the Var(X) is 3/40.
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16p⁷q⁸÷2p⁴q⁵
whats the answer?
Answer:
\(8 {p}^{3} {q}^{3} \)
Step-by-step explanation:
Hope it is helpful....
which method represents a correct way to solve the equation 2(t−5)=48?
The solution to the equation 2(t - 5) = 48 is t = 29.
To solve the equation 2(t - 5) = 48, we can use the following steps:
Distribute the 2 to the terms inside the parentheses:
2t - 10 = 48
Add 10 to both sides of the equation to isolate the variable term:
2t = 58
Divide both sides of the equation by 2 to solve for t:
t = 29
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How many variables must a study have in order to learn something about how those variables are related?
O 1
O 3
O 2
O 4
Answer:
2
Step-by-step explanation:
i say 2 because you need a controlled variable and then the one subject to change (sorry if not)
In a hypothesis test for population proportion, you calculated the p-value is 0.01 for the test statistic, which is a correct statement of the p-value?
Group of answer choices
a)The p-value indicates that it is very rare to observe a test statistics equally or more extreme when the null hypothesis is true.
b)The p-value indicates that it is very likely to observe a test statistics equally or more extreme when the null hypothesis is true.
c)The p-value is calculated assuming the alternative is true.
The p-value is 0.01, which means that it is very rare to observe a test statistic that is equal to or more extreme than the one that was actually observed. SO the option a is correct.
In the given question, in a hypothesis test for population proportion, we calculated the p-value is 0.01 for the test statistic, we have to find which statement of the p-value is correct.
The p-value is the probability of obtaining results as extreme as, or more extreme than, the observed results of a statistical hypothesis test, assuming that the null hypothesis is true. A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.
A large p-value (> 0.05) indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.
If the null hypothesis is correct, the p-value is the likelihood that a test statistic will be equal to or more extreme than the one that was actually observed. Given that the null hypothesis is correct in this situation, the p-value of 0.01 indicates that it is extremely unusual to see a test statistic as dramatic as the one that was actually seen. This shows that the alternative hypothesis is more likely to be correct and that the null hypothesis is probably not true.
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find the slope of the line that passes through each pair of points. (2,4) and (9,12)
Considering the expression of a line, the slope of the line that passes through the points (2,4) and (9,12) is 8/7.
What is Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of the line is calculated as:
m= (y₂ - y₁)÷ (x₂ - x₁)
Slope of the line in this caseIn this case, being (x₁, y₁)= (2,4) and (x₂, y₂)= (9,12), the slope m can be calculated as:
m= (12 -4)÷ (9 -2)
Solving:
m= 8÷ 7= 8/7
Finally, the slope of the line is 8/7.
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A certain area can support 124 deer. Initially, there were 2 deer in the area, and the number has been growing at an average rate of 10% per month. Approximately how long will it take for the deer to have a population of 76, assuming logistic growth
Answer:
≈ 38.16 monthsStep-by-step explanation:
Initial number of deer = 2Growth rate is 1.1 times as 100% + 10% = 110% = 1.1Target number is 76.The equation of the growth is:
d(n) = 2*1.1^nSince the target number is 76 we get:
2*1.1^n = 761.1^n = 38log 1.1^n = log 38n = log 38/log 1.1n ≈ 38.16Answer: 46 months
Step-by-step explanation:
long division method hcf of 430,516 and 817
Answer:
you need to add up 430,516 x 817 and see what it gives you for my exclusive seen 1247.516
Step-by-step explanation:
Can someone find the answer to this and not put a link out
Answer: B
Step-by-step explanation:
For the telephone bill, Etisalat charges you a fixed amount of 50 AED each month, plus 0.25 AED per minute of usage. My Bill last month was 140 AED, write an equation than can help me find the number of minutes I talked last month. Do not solve the equation.. Single line text.
Answer:
so its 50+.25(x) = y or 140. x is amount of minutes y is total
Answer:
140
Step-by-step explanation:
Which statements are true about the polynomial function?
f(x) = x3 + 5x² + 6x
Select each correct answer.
Answer: b is correct
Step-by-step explanation:
Help! help! help! Find the lengths of the legs
Answer:
2\(\sqrt{2}\)
Step-by-step explanation:
sin45=\(\frac{x}{4}\) ( sin is opposite over hypotenuse )
multiply
4sin45=\(2\sqrt{2}\)
cos45=\(\frac{x}{4}\) ( cos is adjacent over hypotenuse )
multiply
4cos45= 2\(\sqrt{2}\)
tip: in a 45-45-90 triangle, the sides are equivalent.
On Saturday, 73 people went to the two o’clock movie at the theater. Each person paid $4.00. How much money did the theater collect in all?
Answer:
$292.00
Step-by-step explanation:
Total amount collected= number of people×amount per each person
total amount= 73×$4.00
Total amount collected=$292.00
Answer:
$292
Step-by-step explanation:
its really easy, you just multiply 73 to 4
Consider a product category that has popular, easy-to-recall brand names (such as soft drinks, computers, or automobiles), compared to a product category for which brand names are difficult to remember (file folders, nails, electric extension cords, or something similar). How do the two product categories match up on the six conditions favorable to successful branding
The product category with popular, easy-to-recall brand names (e.g., soft drinks, computers, automobiles) tends to match up more favorably on the six conditions for successful branding.
In the product category with popular, easy-to-recall brand names, the conditions favorable to successful branding are generally met to a greater extent. These conditions include brand awareness, brand recognition, brand associations, brand loyalty, brand quality perception, and brand differentiation. Popular brands in categories like soft drinks, computers, and automobiles often enjoy high brand awareness and interest among consumers.
Their brand names are easily recalled and associated with specific qualities or values, which can drive brand loyalty and positive brand perceptions. These brands are often differentiated from competitors through unique features, design, or marketing strategies, contributing to their success in the market.
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Complete the Table so there is a proportional relationship between the number of raspberries and their weight.
PLEASE HELP ME!!
what fraction is equvalent to 4/8
Answer:
1/2
Step-by-step explanation:
To find a fraction equivalent to 4/8, we need to simplify the fraction by dividing both the numerator and denominator by their greatest common factor. In this case, the greatest common factor of 4 and 8 is 4. So, we can simplify 4/8 by dividing both the numerator and denominator by 4 as follows:
4/8 = (4 ÷ 4) / (8 ÷ 4) = 1/2
Therefore, 4/8 is equivalent to 1/2.
Plz help it is 10 points
Oh please first if the rectangle was compete, it's area would be 8.
The area of the missing triangle is \(\frac{2*2}{2}\)=2.
8-2=6
And there you go! Your answer is 6.
1. According to the podcast, why and how is chicken the reason American trucks dominate the truck market in the United States? Briefly explain. 2. Name two reasons a party (e.g., a politician or an industry association) may want to impose a tariff? 3. Who are they usually trying to protect? Who would be hurt by a tariff on automobiles? Explain. 4. Describe how competition encourages innovation? In your answer to this question, include a discussion on why American trucks "basically stayed the same over the years. 5. Describe ways foreign companies tried to get around American-imposed tariffs on automobiles. 6. Do you think the methods you described in your previous answer are efficient for an economy? Why or why not? 7. Lastly, how can a tariff be used as a bargaining chip? In your opinion, is that a good reason to impose tariffs - why or why not?
1. Chicken became the key product that drove the creation of the Interstate Highway System, which led to the dominance of American trucks in the US truck market.
2. A party may want to impose a tariff to protect domestic industries from foreign competition or to generate revenue for the government.
3. A party is usually trying to protect domestic industries, but a tariff on automobiles would hurt both domestic consumers who would pay higher prices and foreign producers who would face reduced demand.
4. Competition encourages innovation by providing incentives for companies to improve their products and services to stay ahead of their rivals; American trucks stayed the same because they faced little competition due to protectionist policies.
5. Foreign companies tried to get around American-imposed tariffs on automobiles by establishing factories in the US, forming joint ventures with American companies, or exporting through third countries.
6. The methods used to get around tariffs can be efficient in the short term, but they may not be sustainable or desirable in the long term as they can lead to trade imbalances and undermine the competitiveness of domestic industries.
7. Tariffs can be used as a bargaining chip to negotiate better trade deals, but they should be imposed judiciously and only as a last resort to avoid damaging the economy and harming consumers.
1. In the podcast, chicken is cited as the reason why American trucks dominate the truck market in the United States.
This is because in the 1960s, the government imposed regulations on the trucking industry that limited the amount of weight a truck could carry.
To get around these regulations, the industry started using smaller trucks to transport goods, which were often not strong enough to handle the weight.
However, they found that if they put chicken on the back of the trucks, the weight of the cargo would distribute more evenly and the smaller trucks could handle the load.
This led to the development of the modern pickup truck, which is now a staple of the American automobile market.
2. Parties may want to impose tariffs for various reasons, such as to protect domestic industries and jobs from foreign competition, to raise revenue for the government, or to level the playing field in international trade.
Two specific reasons for imposing tariffs could be to protect national security interests or to address unfair trade practices by other countries.
3. Tariffs are usually imposed to protect domestic industries and jobs, and the parties that are being protected are typically the producers of the goods or services in question.
However, tariffs can also harm consumers who may have to pay higher prices for imported goods or may have fewer choices in the marketplace. For example, if a tariff is imposed on automobiles, domestic car manufacturers may benefit, but consumers may have to pay more for cars, and foreign automakers may lose market share.
4. Competition encourages innovation by creating incentives for companies to improve their products or services to gain a competitive advantage.
In the case of American trucks, the lack of competition may have contributed to their lack of innovation over the years. Since they dominated the market, there was little pressure to improve or innovate, and as a result, they have largely stayed the same.
However, the rise of foreign competition in recent years has led American truck manufacturers to invest more in innovation to stay competitive.
5. Foreign companies have tried to get around American-imposed tariffs on automobiles in various ways, such as by moving production to countries not subject to the tariffs, by exporting parts and assembling them in the United States, or by lobbying the government for exemptions or tariff reductions.
6. The methods used by foreign companies to get around tariffs may not be efficient for the economy as a whole because they can lead to higher costs and inefficiencies in the supply chain.
However, they may be necessary for individual companies to remain competitive in the short term.
Ultimately, a more efficient solution would be to address the root causes of the trade imbalances that lead to tariffs in the first place.
7. A tariff can be used as a bargaining chip by threatening to impose tariffs on imports from a country unless they make concessions in trade negotiations.
While this can be an effective strategy in certain situations, it can also lead to a trade war and harm both economies.
In general, tariffs should be used sparingly and as a last resort, and efforts should be made to address underlying trade issues through diplomacy and negotiation.
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A stock room has 3 containers of solvent, 2 are full and the other is full.
Write an improper fraction to represent the total amount solvent in the room.
The total amount of solvent in the stock room can be represented by the improper fraction: \(\[ \frac{7}{3} \]\)
To determine the total amount of solvent in the stock room, we need to add the fractions representing the amount of solvent in each container.
Container 1: Full (represented as 1 whole or \(\( \frac{3}{3} \)\))
Container 2: Full (represented as 1 whole or \(\( \frac{3}{3} \)\))
Container 3: \(\( \frac{1}{3} \)\) full
We can add these fractions:
\(\[ \frac{3}{3} + \frac{3}{3} + \frac{1}{3} = \frac{7}{3} \]\)
Therefore, the total amount of solvent in the stock room is \(\( \frac{7}{3} \)\) (seven-thirds).
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What is the domain of the function?
Domain: x
The cartesian product of two sets is a set of pairs combining all elements from the first set with each of the elements in the second set. T/F
True. The cartesian product of two sets is a set of pairs combining all elements from the first set with each of the elements in the second set.
The cartesian product of two sets A and B, denoted by A × B, is the set of all possible ordered pairs where the first element comes from set A and the second element comes from set B. In other words, each element in set A is combined with every element in set B to form a pair.
For example, let A = {1, 2} and B = {3, 4}. The cartesian product A × B would be {(1, 3), (1, 4), (2, 3), (2, 4)}, which includes all possible combinations of elements from A and B.
The cartesian product is a fundamental concept in set theory and plays a crucial role in various areas of mathematics, including algebra, combinatorics, and geometry. It allows for the systematic exploration of all possible combinations between sets and is often used in defining relations, functions, and mappings between different mathematical structures.
Therefore, it is true that the cartesian product of two sets is a set of pairs combining all elements from the first set with each of the elements in the second set.
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