Answer:
y = x² is the parent
y = 3/2(x+7)²+2 shifts 7 u left, up 2 u, and has vertical compression
Answer:
Right 7 unitsUp 2 unitsVertical StretchStep-by-step explanation:
Given the function, f(x) = 3/2(x + 7)² + 2,
where:
a = 3/2
vertex (h, k ) = (7, 2)
The value of a determines whether the graph opens up or down. The value of a also makes the parent function wider or narrower (vertical stretch by a factor of a ). If a > 1, the graph is narrower than the parent function. The value of h determines how far left or right the parent function is translated. If h is positive, the function is translated h units to the right. The value of k determines how far up or down the parent function is translated. If k is positive, the function is translated k units up.
Given these descriptions, we can assume that:
The function is vertically translated by 2 units upward. The function is horizontally translated by 7 units to the right.Vertical stretch by a factor of 3/2 (or 1.5).Please mark my answers as the Brainliest, if you find my explanations helpful :)
When we have a distribution of a variable, we know or have a sense of two qualities. Select the two qualities: How often we observe each of the possible values of a variable. - The experimental units involved in the study.- The explanatory and response variables of a study. - The possible values the variable can take on.- The observational units involved in the study
The possible values the variable can take on and how often we observe each of the possible values of a variable.
The possible values the variable can take on and how often we observe each of the possible values of a variable.
A distribution of a variable describes the possible values the variable can take on and how often we observe each of the possible values of a variable. It does not describe the experimental units involved in the study or the explanatory and response variables of a study, nor does it describe the observational units involved in the study. The possible values the variable can take on and how often we observe each of the possible values of a variable.
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(Combining Equations)What is the result of adding these two equations ? 5x - y = 6 -2x + y = 8
Answer:
3x=14
Explanation:
Given the two equations:
\(\begin{gathered} 5x-y=6 \\ -2x+y=8 \end{gathered}\)Adding the two equations gives:
\(\begin{gathered} \lbrack5x+(-2x)\rbrack+\lbrack-y+y\rbrack=6+8 \\ \lbrack5x-2x\rbrack+0=14 \\ 3x=14 \end{gathered}\)3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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Simplify 3x + 3 + 2
3x+5
5x+3
8×
Answer:
3x+5
Step-by-step explanation:
In 1955, Life Magazine reported that the 25 year-old mother of three worked, on average, an 80 hour week. Recently, many groups have been studying whether or not the women's movement has, in fact, resulted in an increase in the average work week for women (combining employment and at-home work). Suppose a study was done to determine if the mean work week has increased. 81 women were surveyed with the following results. The sample mean was 83; the sample standard deviation was ten. Does it appear that the mean work week has increased for women at the 5% level?
Yes, it appear that the mean work week has increased for women at the 5% level.
Has the mean work increased?We are informed that a 25-year-old mother of three worked an average of 80 hours per week according to a 1955 Life Magazine report.
Imagine a study was conducted to find out if the average workweek has risen. The results of a survey given to 75 women are as follows. The sample's standard deviation was 10, and the sample's mean was 83. It should be noted that the test statistic is 2.598.
Now, at 5% level of significance the t table gives critical value of 1.668 at 74 degree of freedom for one-tail test. Since our test statistics is more than the critical value of t as 2.598 > 1.668, so we have sufficient evidence to reject our null hypothesis as the test statistics will fall in the rejection region.
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Your house had a value of $180,000 and increased in value by 2.5%. How much is your house worth now?
Answer: 184,500
Hope i could help
Benecio worked 40 hours at his two jobs last week. He earned $20 per
hour at his weekday job and $18 per hour at his weekend job. He
earned $770 in all. How many hours did he work at each job?
Answer:
25 hours on his week job and 15 hours on his weekend job
Steps
20 times 25 is 500 for pay
18 times 15 is 270 for pay
Just add them
500 plus 270 equals 770 for pay
And 15 plus 25 is 40 total in hours
Solution:V=2Em(b) If E = 125, 000 Joules of energy, and the mass of the object is 25 kilograms, find the velocity, V.Show your work here:Answer:= m/s
100m/s
Explanations
Given the formula for calculating the velocity expressed as:
\(v=\sqrt[]{\frac{2E}{m}}\)Given the following parameters:
Energy "E" = 125,000 Joules
mass "m" = 25kg
Substituting the given parameters into the formula
\(\begin{gathered} v=\sqrt[]{\frac{2(125000)}{25}} \\ v=\sqrt[]{\frac{250000}{25}} \\ v=\sqrt[]{10,000} \\ v=100m\text{/s} \end{gathered}\)Therefore the velocity of the object is 100m/s
Find the volume of a pyramid with a square base, where the side length of the base is
10.6
in
10.6 in and the height of the pyramid is
12.3
in
12.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
V = 460.68
Step-by-step explanation:
V=(lwh)/3
Help
Identify the equation that represents a quadratic relationship
y =4x^2
y =4x^4
y =4x^3
y =4
The equation that represents a quadratic relationship is y = 4x^2. Option A.
A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.
Let's analyze the given equations:
1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.
2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.
3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.
4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.
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A Traveler arrived at his final destination on February 11, 2021 at 2:30pm. The traveler departed 72 hours earlier traveling East from a time zone that is eight hours behind tha arrival time zone
On what day and at what time did the traveller depart?
9514 1404 393
Answer:
Feb 8, 2021, at 6:30 am
Step-by-step explanation:
The time of arrival, as seen from the point of departure, is 8 hours earlier than 2:30 pm, so is 14:30 -8:00 = 6:30 (am), on Feb 11. Three days (72 hours) before that time is ...
6:30 am on Feb 8, 2021
-67 = 6x - 1
Find x please!
Answer:
X=-11
Step-by-step explanation:
-67+1=6x
6x=-66
x=-11
you cancel the 1 from the right side and add it to the left then divide -66 by 6
the answer is -11
The temperature of a mixture changes by -5.2 Fahrenheit between 8am and 11am. At 6pm the temperature is 14.5 Fahrenheit, which is half of what it was at 11am. What was the temperature at 8am of the mixture. I have this equation , but not sure is correct. 1/2(x-6.8)= -3.1
Explanation
Let us have a sketch of the question
If the temperature at 6 pm is 14.5 F
And the temperature at 11am is twice that of 6pm
Then the temperature at 11am will be
\(2\times14.5F=29F\)Since the temperature of a mixture changes by -5.2 Fahrenheit between 8 am and 11 am.
Then the temperature at 8 am will be
\(\begin{gathered} \theta_{11am}-\theta_{8am}=-5.2 \\ 29F-\theta_{8am}=-5.2F \\ \theta_{8am}=29F+5.2F \\ \theta_{8am}=34.2F \end{gathered}\)Therefore, the temperature at 8 am will be 34.2 F
What will be the end result for the taxpayer who filed her federal income tax
return using the 1040EZ form shown below?
381100
400 00
Dorronts
Federal income tax withheld from Formis) W-2 and 1090
wheel back)
Answer:
The answer is, she will receive a refund of $152
Step-by-step explanation:
Based on the information, it can be inferred that Susan can receive a 100% refund of the taxes that were erroneously charged to her.
What are taxes?A tax is a mandatory payment or charge collected by local, state, and national governments from individuals or businesses to cover the costs of general government services, goods, and activities.
The amount that Susan can receive as a refund :-
According to the previous information we can infer that the government can refund 100% of the money that she wrongly contributed to her taxes.
This is because this return does not have a %, but is equivalent to the excess contributions that she made.
Due to the above, we can affirm that she can receive all the surpluses that she contributed without any type of withholding or percentage.
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The sum of two integers is 9. Their difference is 5.
What are the two integers?
A 7 and 12
B-7 and 16
C -12 and -7
D 2 and 7
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is (( D )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Look :
\(7 + 2 = 9\)
\(7 - 2 = 5\)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
A rational number
A. can be a fraction that is not a whole number.
B. must be positive.
C. cannot be a whole number
D. is always an integer.
Answer:
I think it's d
Step-by-step explanation:
−3/7 is a rational number, as is every integer.
PLEASE HELP ME
What is the answer to this
Answer:
Step-by-step explanation:
7x6=42
Answer: 42
Step-by-step explanation:
In blank box - 7
6*7
=42
if the letter l,o,g,ic are randomnly arranged to form word logic what is the probability that result will be woord logic
The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))
To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.
The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.
The total number of possible arrangements is given by the factorial of the total number of letters:
Total arrangements = 10!
However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:
Total arrangements = 10! / (2!)
To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.
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A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into a nutrient broth, the culture grows at a rate proportional to its size. After 1.5 hours, the population has increased to 875. (a) Find an expression for the number of bacteria after t hours. (Round your numeric values to four decimal places.) P(t) = (b) Find the number of bacteria after 7 hours. (Round your answer to the nearest whole number.) P(7) = bacteria (c) Find the rate of growth (in bacteria per hour) after 7 hours. (Round your answer to the nearest whole number.) P'(7)= bacteria per hour (d) After how many hours will the population reach 250,000? (Round your answer to one decimal place.) t = hr
a) An expression for the number of bacteria after t hours - \(50e^{0.8t}\)
b) The number of bacteria after 7 hours, P(7)=13521.320
c) The rate of growth (in bacteria per hour) after 7, P(t)=1081.705
d) The population will reach 250,000 after - 4.6hours.
a)The exponential growth model is \(P = P_{0} e^{rt}\)
Where,
\(P_{0}\) = Initial growth
r = growth rate
t = time period
It is given that initially cells, \(P_{0}\) = 50
time period, t = 1.5 hours
Population after t = 1.5 hours is , P =875
Substitute the given values in the growth exponential model:
875 = \(50 e^{r * 1.5}\)
⇒ \(\frac{875}{50}\) = \(e^{r * 1.5}\)
⇒ 17.5 = \(e^{r * 1.5}\)
⇒ log (17.5 ) = log (\(e^{r * 1.5}\) )
⇒ log (17.5 ) = 1.5r
⇒ 1.24 = 1.5r
⇒ r = \(\frac{1.24}{1.5}\)
r = 0.8%
Thus, P(t) = \(50e^{0.8t}\)
b) Number of bacteria after 7 hours is calculated as follows:
P(7) = \(50 e^{0.8 * 7}\)
P(7 ) = 13521.320
c) The rate of growth (in bacteria per hour) after 7 hours:
P(t) = \(50e^{0.8t}\)
Differentiate w.r.t :
P(t) = 50 × \(0.8e^{0.8t}\)
= 50 × \(0.8e^{0.8 * 7}\)
= 1081.705
d) The population at time t is P(t) = 250000
250000 = \(50e^{0.8t}\)
⇒ \(\frac{250000}{50}\) =\(e^{0.8t}\)
⇒ 5000 = \(e^{0.8t}\)
⇒ 0.8t = 3.7
⇒ t = 4.6
a) An expression for the number of bacteria after t hours - \(50e^{0.8t}\)
b)The number of bacteria after 7 hours, P(7) = 13521.320
c) The rate of growth (in bacteria per hour) after 7, P(t) = 1081.705
d) The population will reach 250,000 after - 4.6hours.
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In interest rate 6% in 2500$ in year when go to investment at the end how many amount of 3 yrs and 5 months in simple interest ?
Answer: So, after 3 years and 5 months, the total amount of simple interest earned on an investment of $2500 at a 6% interest rate would be $525.
Step-by-step explanation:
To calculate the simple interest on an investment of $2500 at a 6% interest rate for 3 years and 5 months, you would use the formula:
Simple Interest = (Principal x Interest Rate x Time in Years)
In this case, the time in years would be 3.5 (3 years and 5 months)
Simple Interest = (2500 x 0.06 x 3.5) = $525
So, after 3 years and 5 months, the total amount of simple interest earned on an investment of $2500 at a 6% interest rate would be $525.
Solve 2^x-2=8^4 but not solving for x
Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.
To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.
First, let's simplify the equation:
2^x - 2 = 8^4
We know that 8 can be expressed as 2^3, so we can rewrite the equation as:
2^x - 2 = (2^3)^4
Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:
2^x - 2 = 2^(34)
Simplifying the right side of the equation:
2^x - 2 = 2^12
Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:
x = 12
Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.
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The following data represent the weights (in grams) of a
random sample of 50 candies
(a) Determine the sample standard deviation weight
SH gram
(Round to two decimal places as needed)
0.98
0.85
0.92
0.98
0.71
Part 1 of 6
0.88
0.86
0.75
0.85
0.85
0.86
0.78
0.75
0.75
0.74
Cm
0.82
0.85
0.91
0.78
0.72
O
081
0.81
0.81
0.81
0.84
Points: 0 of 4
087
0.85
0.89
0.77
0.85
0.97
0.74
0.89
0.82
0.86
0.82
084
0.91
0.87
0.94
0.85
0.71
0.83
0.87
0.94
0.81
0.81
0.78
0.77
0.85
The sample standard deviation weight of the 50 candies is, 0.07 grams.
What is standard deviation ?The amount of variation or dispersion in a set of data values is measured by standard deviation. A statistical calculation is used to determine how far the values vary from the mean (average) value. While a high standard deviation suggests that the data values are more dispersed, a low standard deviation suggests that the data values tend to be close to the mean.
To find the sample standard deviation weight,
we can use the formula:
\(s = \sqrt{((1/(n-1))} \sum((x - \bar x)^{2} ))\)
where n is the sample size, x is the weight of each candy, \(\bar x\) is the sample mean weight, and sum() means to add up the values.
We can first find the sample mean weight:
\(\bar x\)= (0.98 + 0.85 + 0.92 + 0.98 + 0.71 + 0.88 + 0.86 + 0.75 + 0.85 + 0.85 + 0.86 + 0.78 + 0.75 + 0.75 + 0.74 + 0.82 + 0.85 + 0.91 + 0.78 + 0.72 + 0.81 + 0.81 + 0.81 + 0.84 + 0.87 + 0.85 + 0.89 + 0.77 + 0.85 + 0.97 + 0.74 + 0.89 + 0.82 + 0.86 + 0.82 + 0.84 + 0.91 + 0.87 + 0.94 + 0.85 + 0.71 + 0.83 + 0.87 + 0.94 + 0.81 + 0.81 + 0.78 + 0.77 + 0.85) / 50
\(\bar x\) = 0.8456
Next, we can calculate the sample standard deviation:
s = √((1/(50-1)) x ((0.98-0.8456)² + (0.85-0.8456)² + ... + (0.77-0.8456)² + (0.85-0.8456)²))
s = sqrt(0.0045916)
s = 0.0678
Rounding to two decimal places, the sample standard deviation weight is 0.07 grams.
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How do you put extra effort into your papers to make them "high quality?" What new strategies have you learned in this lesson that you can apply to your next paper?
Answer:
This is what I put:
"Putting extra effort into your work would include actions like using synonyms, avoiding too many contractions (words like "can't" or "don't" in grammar), and refraining from including your opinion in order to stay professional (unless the topic requires it). The "6 Trait Philosophy/Writing" strategy is what I plan to use in future papers. This strategy contains the 6 "steps" or "tips" for better writing, which are organization, conventions, ideas, fluency, voice, and word choice. And, of course, the standard formatting guidelines."
Step-by-step explanation:
I got 100% on Edge.
Answer:
"Putting extra effort into your work would include actions like using synonyms, avoiding too many contractions (words like "can't" or "don't" in grammar), and refraining from including your opinion in order to stay professional (unlin ess the topic requires it). The "6 Trait Philosophy/Writing" strategy is what I plan to use in future papers. This strategy contains the 6 "steps" or "tips" for better writing, which are organization, conventions, ideas, fluency, voice, and word choice. And, of course, the standard formatting guidelines."
Step-by-step explanation:
Please help will mark as brainliest if correct
Answer:
B) 29.6°
Step-by-step explanation:
it's a right triangle so you can use SOA CAH TOA
in this case we would use cosine because we know the adjacent and the hypotenuse
arccosФ = 20/23 = 29.59
Terry is the school swimming champion and has won several races. If the ratio of the number of times he's won to the number of races he has swum in is 2 : 3, how many races has he won?
The given information tells us that Terry's wins-to-races ratio is 2:3, but we cannot determine the exact number of races he has won without additional information about the total number of races he has participated in.
If the ratio of the number of times Terry has won to the number of races he has swum in is 2:3, we can set up a proportion to determine the number of races he has won.
Let's denote the number of times Terry has won as x, and the total number of races he has swum in as y. According to the given ratio, we have:
x/y = 2/3
To find the value of x, we need to solve for x when y is known. Since y represents the total number of races, we don't have that information in the given problem. Therefore, we cannot determine the exact number of races Terry has won without knowing the total number of races he has participated in.
The ratio tells us the relationship between the number of wins and the total number of races, but without knowing the denominator (total races), we cannot find a specific value for the numerator (number of wins). We can only determine the ratio between the two quantities.
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Mabel, Adeline and Charlie share 34500ft2 of land Mabel ownes 26%of the land area and Adeline Owens 47% of the land area . What is the land area that charlie owns ?
Answer:
Charlie owns 9,315 ft2 of the land area
Step-by-step explanation:
There are 34,500 ft2 of land shared between Mabel, Adeline, and Charlie.
Mabel owns 26% of the land area, that is:
26*34,500 ft2 / 100 = 8,970 ft2
Adeline owns 47% of the land area, or:
47*34,500 ft2 / 100 = 16,215 ft2
The land owned by Mabel and Adeline is: 8,970 ft2 + 16,215 ft2 = 25,185 ft2
Since the total area land is 34,500 ft2, Charlie owns:
34,500 ft2 - 25,185 ft2 = 9,315 ft2
Charlie owns 9,315 ft2 of the land area
Which is a better estimate for the weight of a double-decker bus
Step-by-step explanation:
Coaches are typically sized to a height of 4.38 meters, whereas 'high-bridge' vehicles are usually around 20 centimeters higher. At an average height of 18.65 metres, integrated double-deckers are often permitted .
Which of the following is an example of a proper fraction?
A.7/6
B.3/4
C.4/4
D.4/3
Answer: B
Step-by-step explanation:
A proper fraction is when a fraction has the numeration less than the denominator
At an arcade, a book of 20 tickets costs $5, a book of 30 tickets costs $7, and a book of 50 tickets costs $10. Would a graph of the relationship between price and number of tickets in a book be a straight line? Explain.
Answer:
yes
Step-by-step explanation:
In the diagram below, AB is parallel to CD. What is the value of y?AAΓνB72εDΑ. 82Β. 72Ο Ο Ο ΟC. 108D. 128
Hence, the correct option is Option C.