Answer:
\(the \: answer \: is \: \\ y - 7 = 1(x - 4) \\ y - 7 = x - 4 \\ or \: in \: other \: way \: \\ y = x+ 3\)
Ian suffered a loss of 10% when his watch was sold at $90. How much should he have sold his watch if he wanted to make a gain of 20%?
Explanation:
This problem is a simple percent chage problem. The absoluge change in price was $12−$8=$4. Relative to the original price, it was 412, which is 0.3333 or 33.33%.
help lol -30=5(x+1) x= ?
1.Distribute
-30=5(x+1). x
\(-30=5x^{2}+5x\)
2. Move terms to the left side
\(-30=5x^{2} +5x\)
\(-30-(5x^{2} +5x)=0\)
3. Rearrange terms
\(-30-5x^{2} -5x=0\)
\(-5x^{2} -5x-30=0\)
Hope this helps! Sorry if I'm wrong
\(\huge\text{Hey there!}\)
\(\large\text{ORIGINAL EQUATION}\downarrow\)
\(\large\textsf{ -30 = 5(x + 1)}\)
\(\large\text{TURN the EQUATION}\)
\(\large\textsf{5(x + 1) = -30}\)
\(\large\text{DISTRIBUTE \textsf{5} WITHIN the PARENTHESES}\)
\(\large\textsf{5(x) + 5(1) = -30}\)
\(\large\textsf{5(x) = \bf 5x}\\\large\textsf{5(1) = 5}\)
\(\rightarrow\large\textsf{5x + 5 = -30}\)
\(\large\text{NEW EQUATION: \textsf{5x + 5 = -30}}\)
\(\large\text{SUBTRACT \textsf{5} to BOTH SIDES}\)
\(\large\textsf{5x + 5 - 5 = -30 - 5}\)
\(\large\text{CANCEL out: \textsf{5 - 5} because that gives you \textsf{0}}\)
\(\large\text{KEEP: \textsf{-30 - 5} because that helps you solve for your \textsf{x-value}}\)
\(\large\textsf{-30 - 5 = \bf -35}\)
\(\large\text{NEW EQUATION: \textsf{5x = -35}}\)
\(\large\text{DIVIDE \textsf{5} to BOTH SIDES}\)
\(\mathsf{\dfrac{5x}{5}= \dfrac{-35}{5}}\)
\(\large\text{CANCEL out: }\mathsf{\dfrac{5x}{5}}\large\text{ because that gives you the value of \textsf{1}}\)
\(\large\text{KEEP: }\mathsf{\dfrac{-35}{5}}\large\text{ gives you the \textsf{x-value}}\)
\(\large\textsf{x = }\mathsf{\dfrac{-35}{5}}\)
\(\large\text{SIMPLIFY ABOVE \& YOU HAVE YOUR x-value}\)
\(\boxed{\boxed{\large\textsf{ANSWER: \huge \bf x = -7}}}\huge\checkmark\)
\(\text{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Use the graph of g(x) to answer the following question.
The graph of g(x) is a translation of f(x) = x^2
Write the equation for g(x) in vertex form.
The graph of the translated function is g ( x ) = ( x + 5 )² + 2
Given data ,
Let the parent function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = x²
On simplifying , we get
The function is translated 5 units to the horizontal left direction:
And , when the function is translated 2 units in the vertical upward direction:
So , the translated function is
g ( x ) = ( x + 5 )² + 2
Now , the vertex of the function g ( x ) = ( x + 5 )² + 2 is (-5, 2)
Hence , the graph of the function is plotted and g ( x ) = ( x + 5 )² + 2
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1. The first quartile (1) of the ages of the 256 employees of CCNHS – Main Campus is 39 years old. What does it imply?
If the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.
The first quartile (Q1) of the ages of the 256 employees of CCNHS – Main Campus being 39 years old implies that 25% of the employees have an age equal to or less than 39 years old.
In statistical terms, the first quartile represents the point below which 25% of the data falls. It divides the data set into four equal parts, with each part containing 25% of the data. Therefore, if the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.
This information provides insight into the age distribution of the employees at the institution. It indicates that a significant portion of the employees are relatively young, with a quarter of them falling below the age of 39. Understanding the age demographics of the workforce can be useful for various purposes, such as planning professional development programs or implementing age-specific policies.
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I need help with this
You are interested in finding a 95% confidence interval for the mean number of visits for physical therapy patients. The data below show the number of visits for 11 randomly selected physical therapy patients. Round answers to 3 decimal places where possible.
13 5 10 11 26 20 18 18 24 23 5
a. To compute the confidence interval use a
t
Correct distribution.
b. With 95% confidence the population mean number of visits per physical therapy patient is between
and
visits.
c. If many groups of 11 randomly selected physical therapy patients are studied, then a different confidence interval would be produced from each group. About
percent of these confidence intervals will contain the true population mean number of visits per patient and about
percent will not contain the true population mean number of visits per patient.
For finding a 95% confidence interval:
a. To compute the confidence interval, use a t distribution with 10 degrees of freedom.b. With 95% confidence, the population mean number of visits per physical therapy patient is between 13.011 and 19.249 visits.c. About 95% of these confidence intervals will contain the true population mean number of visits per patient and about 5% will not contain the true population mean number of visits per patient.How to solve confidence interval?a) The sample mean is x = 16.13.
The sample standard deviation is s = 6.948.
The degrees of freedom are df = 10.
The critical value of t for a 95% confidence interval is t = 2.228.
The margin of error is ME = t × s/√n = 2.228(6.948)/√11 = 4.263.
The 95% confidence interval is x ± ME = 16.13 ± 4.263 = (11.867, 20.393).
b) The 95% confidence interval is (11.867, 20.393).
This means that we are 95% confident that the true population mean number of visits per physical therapy patient is between 11.867 and 20.393 visits.
c) This is because the confidence interval is a range of values that is likely to contain the true population mean. If many samples of the same size are taken from the same population, then about 95% of the confidence intervals from these samples will contain the true population mean.
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If your original biconditional statement is true, would the contrapositive be true? Give an example to illustrate your reasoning. '
Answer:
Step-by-step explanation:
es, if the original biconditional statement is true, then its contrapositive is also true.
Example: "If it rains, the grass is wet."
The contrapositive of this statement would be "If the grass is not wet, then it didn't rain."
Both the original statement and its contrapositive have the same truth value, as they are logically equivalent.
Evaluate.
Remember Order of Operations!
(PEMDAS)
3+ 6 x 4 - 2
Answer:
25
Step-by-step explanation:
3+6×4-2
6×4=24
3+24-2
3+24=27
27-2=25
What is the median for the following set of numbers? 10, 13, 15, 12, 9, 12, 16
Answer:
12
Step-by-step explanation:
Arranging in ascending order -> 9, 10, 12, 12, 13, 15, 16
n = 7
Median = value of ((n + 1) / 2) th term
= value of (7+1) / 2 th term
= value of 4 th term
= 12
Hope it helps :)
Which of the following points represents a striking deviation in the box plot above?
A.
P
B.
R
C.
S
D.
Q
A point that represent a striking deviation in the box plot above include the following: C. P.
What is a box-and-whisker plot?In Mathematics and Statistics, a box plot can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.
Based on the information provided about the data set, the five-number summary for the given data set include the following:
Minimum (Min) = 24.First quartile (Q₁) = 26.Median (Med) = 28.Third quartile (Q₃) = 29.Maximum (Max) = 30.In conclusion, we can logically deduce that point P represent a striking deviation in the box plot because it is an outlier (it is significantly far from all of the other data points).
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you want wall-to-wall carpeting in your room, which measures 24' x 1' . Carpeting is on sale for 9.97 per square yard. estimate the cost. round answer where possible.
Answer:
Step-by-step explanation:
First, we need to convert the dimensions of the room from feet to yards, since the price is given per square yard.
24 feet = 8 yards (since 1 yard = 3 feet)
So the dimensions of the room are 8 yards x 1 yard.
The area of the room is 8 x 1 = 8 square yards.
The cost of the carpeting per square yard is $9.97.
So, the estimated cost of the carpeting would be:
8 x $9.97 = $79.76
Rounding this to the nearest cent gives an estimated cost of $79.76.
foreign direct investment helps improve the economic situation of a recipient country by increasing —- opportunities in the country that the company invests in.
Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.
When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.
Increased employment opportunities result in more individuals having access to income and improved standards of living.
Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.
Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.
Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.
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PLEASE HELP!!! I WILL MARK THE BRAINLIST IF I GET 2 ANSWERS!!!
Charlie bought 2 pounds of pears for $0.76 per pound and 22 pounds of grapes for $1.40 per pound. How much money in dollars and cents did Charlie pay for the pears and grapes?
Answer:
$32.32
Step-by-step explanation:
0.76p+1.40g where p = pounds of pears and g = pounds of grapes
0.76(2)+1.4(22)
32.32
What is mathematics. why is it important?
Mathematics provides a framework for developing critical thinking, problem-solving, and analytical skills that are valuable in many aspects of life.
What is mathematics?
Mathematics is a fundamental discipline that plays a crucial role in our daily lives and in shaping our understanding of the world.
Mathematics is a field of study that deals with the properties and relationships of numbers, quantities, shapes, and patterns. It involves using logical reasoning, abstraction, and symbolic manipulation to understand and solve problems related to these concepts.
Mathematics is important for many reasons. First and foremost, it is a fundamental tool for understanding and describing the world around us. It plays a crucial role in science, technology, engineering, economics, finance, and many other fields by providing tools for modeling and analyzing complex phenomena.
Mathematics is also essential for making accurate predictions and decisions based on data and evidence, as well as for designing and optimizing systems and processes.
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Solve the following for θ, in radians, where 0≤θ<2π.
3cos2(θ)+6cos(θ)−4=0
Answer:
0 ≤ < 2
Step-by-step explanation:
Answer:1.02 5.27 are correct
Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):
3u^2 + 6u - 4 = 0
Now we can use the quadratic formula to solve for u:
u = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 3, b = 6, and c = -4. Substituting these values, we get:
u = (-6 ± sqrt(6^2 - 4(3)(-4))) / 2(3)
u = (-6 ± sqrt(84)) / 6
u = (-3 ± sqrt(21)) / 3
Therefore, either:
1/4 divided by 1/2? pls help
if you comment something random for points ur getting reported
Answer:
150 in
Step-by-step explanation:
2) Ayanda wants to invest R200 000. The bank offers him 2 options for his
6 year investment.
Option 1: 12% Simple interest p.a.
Option 2: 9,5% Compound interest p.a.
4.2.1) Calculate the return on Ayanda's investment using Option 1.
●
●
4.2.2) Calculate the return on Ayanda's investment using Option 2.
4.2.3) Which option will render the most money?
Answer:
4.2.1) R140 000
4.2.2) R144 758.28
4.2.3) Option 2
Step-by-step explanation:
To calculate the return on Ayanda's investment using Option 1, we can use the simple interest formula.
\(\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I =Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)
Given values:
P = R200 000r = 12% = 0.12t = 6 yearsSubstitute the given values into the formula and solve for I:
\(I=200000 \cdot 0.12 \cdot 6\)
\(I=24000 \cdot 6\)
\(I=144000\)
Therefore, the return on Ayanda's investment using Option 1 is R144000.
\(\hrulefill\)
To calculate the return on Ayanda's investment using Option 2, we can use the compound interest formula.
\(\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ I=P\left(1+r\right)^{t}-P$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)
Given values:
P = R200 000r = 9.5% = 0.095t = 6 yearsSubstitute the given values into the formula and solve for I:
\(I=200000(1+0.095)^6-200000\)
\(I=200000(1.095)^6-200000\)
\(I=200000(1.72379142...)-200000\)
\(I=344758.28426...-200000\)
\(I=144758.28426...\)
\(I=144758.28\)
Therefore, the return on Ayanda's investment using Option 2 is R144758.28.
\(\hrulefill\)
Comparing the returns from both options, we find that Option 1 offers a return of R144000, while Option 2 offers a return of R144758.28. As R144758.28 > R144000, then Option 2 will render the most money for Ayanda's investment.
can someone help with this!!! Im a little stuck!
what kind of math is this X_X
Help! I am being timed. Thank you
Answer:
C
Step-by-step explanation:
The set of whole
Solve the following problem:
numbers is partitioned into subsets with the first
number in the first subset, the next two numbers in the
second subset, and the next three numbers in the third
nth member of the nth subset.
The classroom had a 16-centimetre-long glue stick, and then Christina used 2.5 centimetres of it. How long is the stick now?
Answer:
\(13.5cm\)
Step-by-step explanation:
You just need to subtract to find your answer!
The information we are given:
We have a 16cm glue stick.
Christina used 2.5cm of it.
Subtracting:
16 - 2.5 = 13.5
Now, dont forget your units :D
\(13.5 -- > 13.5cm\)
I hope I helped!~~~Harsha~~~
Question 1. Refer to the graph and write the inequality that satisfied the shaded region
Answer:
mexico
Step-by-step explanation:
I need help on the bottom part of it
Answer:9800
Step-by-step explanation:
490 5
_____=______
x 100
490(100)=x(5)
49000=5x
__________
5 5
x=9800
Which ordered pair is the reflection of (3, 10) across the x-axis?
(−3, −10)
(−3, 10)
(3, −10)
(10, 3)
Answer:
(3,-10) try plotting all points and you'll find your answer.
HELP!!!!! It's REALLY easy, but you can't retake this practice assignment, so help
You are right. 5 is correct.
How to become a bill and account collector in your own words
Answer ASAP
I will give brainlist
Answer:
Bill and account collector are people who talk to debtors and try to collect a payment of balance that is due for a product or service. Most bill and account collectors handle their business through telephone, but sometimes it is necessary for them to meet in-person if the calls do not produce the results as expected. i.e., a company does not want to pay for a service that was provided. Most bill and account collectors if not all are required to have a high school diploma, although some companies prefer people who have taken some college courses on communications, accounting, and basic computer courses. Bill and account collectors also must be persuasive, good under pressure and organized for them to earn them job. A Bill and Account Collector earns a pay level between $26,960 and $58,940 based on seniority. Collectors usually get 1 to 3 months of on-the-job training after being hired. Training includes learning the company’s policies and computer software and learning the laws for debt collection in the Fair Debt Collection Practices Act, as well as their state’s debt-collection regulations. Collectors also may be trained in negotiation techniques, depending on the employer.
Step-by-step explanation:
Is this the correct answer?
An oil exploration company currently has two active projects, one in Asia and the other in Europe. Let A be the event that the Asian project is successful and B be the event that the European project is successful. Suppose that A and B are independent events with P(A) = 0.5 and P(B) = 0.6.(a) What is the probability that at least one of the two projects will be successful?(b) Given that at least one of the two projects is successful, what is the probability that only the Asian project is successful? (Round answer to three decimal places.)
The restrictive likelihood is the main likelihood of ward occasions. It states that the ratio of the probabilities of events A and B multiplied by events B is the probability that event A is dependent on event B.
The probabilities are as follows:
P (A) = 0.5 P (B) = 0.6 (a) To determine the likelihood that at least one of the two projects will succeed:
P (A B) = P (A B) = P (A B) = P (A B) = P (A B) = 0.5 + 0.6 (0.5 0.6) = 0.5 + 0.6 0.3 = 1.1 0.3 P (A B) = 0.8 As a result, the probability that at least one of the two projects will be successful is 0.8.
b) Figuring out how likely it is that only the Asian project will succeed: P (A B ′) = P (A B ′) = P (A B ′) = P (A B ′) = P (A B ′) = P (A B ′) = P (A B ′) = P (A B ′) = P (A B ′) = P (A B ′) = P (A B ′) = P (A B ′) = P (A B ′) = P (A B ′) = P
And according to Complementary Law, B B ′ = P ((A B ′)) P (A B) [Because A = A] = P (A B ′) P (A B) [Because A = A] = P (A B ′) P (A B) = P (A) P (B ′) P (A B) = P (A) P (B ′) P (A B) = P (A)
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Kyla earns $21 per hour tutoring student-athletes at Eastern University. If Kyla tutored for 12 hours this month, how much money did she earn this month?
Answer: $252
Step-by-step explanation:
21$ an hour x 12 hours = $252 total :)
Answer:
She earned $252 thsi month.
Step-by-step explanation:
1 hour = $21
12 hours = $?
21*12 = 252