Answer:
5. (2,4) 6. (-1,6)
Step-by-step explanation:
The solution to multiple graphs is where the two graphs meet.
(-1,6) is the only point where both of the y values are the same.
What is the equation of the quadratic function represented by this graph
The equation of the quadratic function represented by this graph is g(x) = -(x + 2)(x - 4).
How to determine the equation of the quadratic function?In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:
f(x) = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.Based on the information provided about the vertex (1, 9) and the y-intercept (0, 8), we can determine the value of "a" as follows:
y = a(x - h)² + k
8 = a(0 - 1)² + 9
8 - 9 = a
a = -1
Therefore, the required quadratic function in vertex form and standard form are given by:
y = a(x - h)² + k
y = -(x - 1)² + 9
y = -(x² - x - x + 1) + 9
y = -(x² - 2x + 1) + 16
y = -x² + 2x - 1 + 9
y = g(x) = -x² + 2x + 8
g(x) = -(x + 2)(x - 4)
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Case Title: A Construction Supply Firm’s ROP The manager of a construction supply found out from historical records that their reorder point revolves on two scenarios but not simultaneously: an ROP with variable lead time and an ROP with variable demand. In the case of variable lead time, he found out that the daily demand is constant for their cracked stones during lead time averages 13.3 cubic meters. In addition, he also found out that the demand during lead time is almost normally distributed with a mean of 33.25 cubic meters and a standard deviation of 6.65 cubic meters. In this scenario, he is willing to accept a stock out risk of not more than 3%. In the second scenario, the manager knew that the lead time for receiving new order for I-beam is 10 days. Demand for I-beam is variable during lead time could be described by a normal curve with a mean of 300 lengths and a standard deviation of 50 lengths. For I-beams, the manager is not willing to risk a stock out of more than 2%. In each scenario, 1. What is the appropriate z-value? 2. How much safety stock should be held? 3. What re-order point should be used?
Scenario 1: ROP with variable lead time1. Calculation of appropriate z-valueGiven a stock-out risk of not more than 3%, the appropriate z-value can be determined by the use of the standard normal distribution table.
which states that the stock-out risk is the area under the curve to the left of the z-value. Thus, the z-value corresponding to a stock-out risk of 3% is 1.88.2. Calculation of safety stockSafety stock (SS) is the level of extra stock that is maintained to mitigate the risk of a stock-out occurring due to unexpected events such as demand surges or supplier delays. It is calculated as follows: SS = zσLT SS = 1.88 × 6.65 SS = 12.5 cubic meters3.
Calculation of re-order point (ROP)ROP is calculated as follows: \(ROP = (average demand during lead time) + SS ROP = (300 lengths) + (102.5 lengths) ROP = 402.5\)lengths Therefore, the appropriate z-value, safety stock, and re-order point for the two scenarios have been calculated and are presented above.
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PLEASE ANSWER QUICKLY
Samantha plays on the softball team for her school. She strikes out twice every nine times
she is at bat. If she struck out 14 times this season, how many times was she at bat?
3.1
07
54
O
63
Answer:
63 :)
Step-by-step explanation:
Will give brainiest answer if you are correct
John read the first 114 Pages of a novel, which was 3 pages less than 1/3 of the novel
Answer:
pretty sure its (114+3)x3
Step-by-step explanation:
114+3= one-third of the novel
then you multiply that by 3 to get the total
helpppppppppppppp my cousins work
How do you show this on a graph?
Counting jails and prisons, approximately how many citizens are incarcerated? a. 1 million b. 2.3 million c. 3 million d. 4.3 million.
In September 2021, the approximate number of citizens incarcerated in jails and prisons is around 2.3 million.
It is important to note that this figure can vary over time due to changes in policies, criminal justice reforms, and other factors. The incarcerated population includes individuals who have been convicted of crimes and are serving their sentences, as well as those who are awaiting trial or have been sentenced but not yet transferred to a correctional facility.
These numbers can vary between different countries and jurisdictions. To obtain the most accurate and up-to-date information on current incarceration rates, it is advisable to refer to official sources such as the U.S. Bureau of Justice Statistics or relevant governmental organizations in your country.
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A number cube is rolled. What is the likelihood that a number less than or equal to three is rolled?
The probability that a number less than or equal to three is rolled is 1/2.
Given that, a number cube is rolled, we need to find that what is the probability that a number less than or equal to three is rolled,
So, the probability = favorable outcomes / total outcomes
Here, the favorable outcome = 1, 2, 3 = 3
The total outcomes = 1, 2, 3, 4, 5, 6 = 6
So, the probability = 3/6 = 1/2
Hence, the probability that a number less than or equal to three is rolled is 1/2.
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If one-half of a number decreased by 20 is 40, what is the number?
Answer:
120
Step-by-step explanation:
Just add the 20 back to 40 and times by 2
40 + 20 = 60
60 * 2 = 120
Answer:
The number is: 120
Step-by-step explanation:
We have one-half of "a" decreased by 20 is 40
This means that:
(1/2)a-20=40
(1/2)a=60
a=120
What is that answer from numbers 1-4 and what how you got it please thank you
Answer:
1. B and F
2. A and G
3. 0
4. B and D, C and E, D and F, E and G
Step-by-step explanation:
1. Since there are two ways to go from point D, I went in both directions, so there appear to be 2 answers.
2. Same explanation as in problem 1.
3. I counted the same number of points from both A and G until I came upon one point, and then I looked at the number which the letter was above.
4. since A - C is a segment that there are lots of in this problem, there are multiple answers.
Tell me if I'm wrong :)
The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4, 6, 14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 10, 16, 20, and 28. There are two dots above 8 and 14. There are three dots above 18. There are four dots above 12. The graph is titled Bus 14 Travel Times.
Compare the data and use the correct measure of center to determine which bus typically has the faster travel time. Round your answer to the nearest whole number, if necessary, and explain your answer.
Bus 47, with a median of 16
Bus 14, with a median of 14
Bus 47, with a mean of 16
Bus 14, with a mean of 14
The best measure of center to determine which bus typically has the faster travel time is: A. Bus 47, with a median of 16.
What is a line plot?In Mathematics and Statistics, a line plot simply refers a type of graph that is used for the graphical representation of data set above a number line, while using crosses, dots, or any other mathematical symbol.
For Bus 47, the median is given by;
4,6,14,28,10,10,12,12,18,18,22,22,16,16,16
Median of Bus 47 = 16
Mean of Bus 47 = 15.
For Bus 14, the median is given by;
10,16,20,28,8,8,14,14,18,18,18
Median of Bus 14 = 16.
Mean of Bus 14 = 16
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fine df given e(-7,-2) and f(11,3)
The distance between d and f is df = 4.795.
Given,
We are assuming e=d and df as the distance between d and f.
d(-7,-2) and f(11,3)
We need to find the distance of df.
What is the distance formula?The distance between two points (x_1, y_1) and (x_2, y_2) is given by:
\(\sqrt{(x_{2}- x_{1} )+ (y_{2} -y_{1}) }\)
We have,
d(-7,-2) and f(11,3)
x_1 = -7
x_2 = 11
y_1 = -2
y_2 = 3
df = \(\sqrt{(11-(-7))+(3-(-2))}\)
Removing the brackets inside the square root
= square root ( 11 + 7) + ( 3 + 2 )
= square root (18 + 5)
= square root 23
The square root of 23 is 4.795.
= 4.795
Thus the distance between d and f is df = 4.795.
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Sklyer has made deposits of $680 at the end of every quarter
for 13 years. If interest is %5 compounded annually, how much will
have accumulated in 10 years after the last deposit?
The amount that will have accumulated in 10 years after the last deposit is approximately $13,299.25.
To calculate the accumulated amount, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = Accumulated amount
P = Principal amount (initial deposit)
r = Annual interest rate (as a decimal)
n = Number of times interest is compounded per year
t = Number of years
In this case, Sklyer has made deposits of $680 at the end of every quarter for 13 years, so the principal amount (P) is $680. The annual interest rate (r) is 5%, which is 0.05 as a decimal. The interest is compounded annually, so the number of times interest is compounded per year (n) is 1. And the number of years (t) for which we need to calculate the accumulated amount is 10.
Plugging these values into the formula, we have:
A = $680(1 + 0.05/1)^(1*10)
= $680(1 + 0.05)^10
= $680(1.05)^10
≈ $13,299.25
Therefore, the amount that will have accumulated in 10 years after the last deposit is approximately $13,299.25.
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let f(x, y) be a function such that • the limit of f(x, y) as x → 0 along the path y = x is 0. • the limit of f(x, y) as x → 0 along the path y = x 2 is 0.
The function f(x, y) satisfies the conditions that its limit approaches zero as x approaches zero along two different paths: y = x and y = x^2. This implies that as x approaches zero, the function f(x, y) must approach zero regardless of whether y varies linearly or quadratically with x.
The given conditions state that the limit of f(x, y) as x approaches zero along the path y = x is zero. This means that as x gets arbitrarily close to zero, the function f(x, y) approaches zero when y varies linearly with x. Similarly, the second condition states that the limit of f(x, y) as x approaches zero along the path y = x^2 is also zero. This implies that when y varies quadratically with x, the function f(x, y) still approaches zero as x approaches zero. Therefore, the function f(x, y) must satisfy both conditions by converging to zero as x approaches zero along both paths.
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the historical returns of american airlines (tic: aal) follow a normal distribution with mean of 4.28% and a variance of 9.63%. michael is currently investing $364,888. what is the value at risk (in dollars) at the 2.5% level? note: should be a negative number. to compute the returns, round to the nearest integer.
At the 2.5% level, the maximum value at risk that Michael could experience is approximately $28,187.
The value at risk (VaR) at the 2.5% level can be calculated as follows:
\(VaR = - (364,888 * 0.025 * 0.0428 - \sqrt{(364,888 * 0.025 * 0.0963)}) = - $28,187\)
Where:
The 2.5% level corresponds to the left-tail of the normal distribution with a standard deviation of 1.96.The mean return of American Airlines is 4.28% and the variance is 9.63%, so the standard deviation is the square root of the variance (i.e., sqrt(9.63%) = 31.01%).The investment amount is $364,888.We use the negative sign to indicate that the VaR is a potential loss.Therefore, at the 2.5% level, the maximum potential loss that Michael could experience is approximately $28,187.
In simpler terms, the VaR is a statistical measure that estimates the maximum potential loss of an investment with a certain level of confidence over a given time period. In this case, we use the historical returns of American Airlines to estimate the risk of Michael's investment. The VaR tells us that there is a 2.5% chance that Michael could lose at least $28,187 from his investment in American Airlines, assuming that the future returns follow a normal distribution with the same mean and variance as the historical returns.
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Write an expression Equivalent to 5X -40
Answer:
5(x+8)
Hope this helps
:3
A rectangle is shown. The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches.
A photographer wants to use a scale factor of 2.5 to enlarge a picture. What will the area of the picture be after it is enlarged? (5 points)
40 in2
250 in2
100 in2
81.9 in2
two cards are selected in a sequence from a standard deck. what is the probability that the second card is a jack given that the first card was a 2. (assume the 2 was not replaced.)
The probability that the second card is a jack given that the first card was a 2 is 52/51.
To calculate the probability that the second card is a jack given that the first card was a 2, we need to consider the remaining cards in the deck after the first card is drawn.
When the first card is drawn and it is a 2, there are 51 cards remaining in the deck, out of which there are 4 jacks.
The probability of drawing a jack as the second card, given that the first card was a 2, can be calculated using conditional probability:
P(Second card is a jack | First card is a 2) = P(Second card is a jack and First card is a 2) / P(First card is a 2)
Since the first card is already known to be a 2, the probability of the second card being a jack and the first card being a 2 is simply the probability of drawing a jack from the remaining 51 cards, which is 4/51.
The probability of the first card being a 2 is simply the probability of drawing a 2 from the initial deck, which is 4/52.
P(Second card is a jack | First card is a 2) = (4/51) / (4/52)
Simplifying the expression:
P(Second card is a jack | First card is a 2) = (4/51) * (52/4)
P(Second card is a jack | First card is a 2) = 52/51
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$5,000 was invested at 4.5% interest compounded continuously. How many years will
it take the investment to grow to $7,840? Round your answer to the nearest whole
year.
Answer:
The continuous compounding formula is:
A = Pe^(rt)
where A is the amount after t years, P is the initial principal, r is the annual interest rate as a decimal, and e is Euler's number (approximately 2.71828).
We are given that P = $5,000, r = 0.045, and A = $7,840. We want to find t, the number of years.
We can solve for t by isolating it on one side of the equation:
A = Pe^(rt)
A/P = e^(rt)
ln(A/P) = rt
t = ln(A/P) / r
Substituting in the values we have:
t = ln(7840/5000) / 0.045
t ≈ 11
So it will take about 11 years for the investment to grow to $7,840
For what slit-width-to-wavelength ratio does the first minimum of a single-slit diffraction pattern appear at (a) 30 degrees (b) 60 degrees, and (c) 90 degrees? Hint: The small-angle approximation is not valid.
The slit-width-to-wavelength ratio for 30 degrees will be 2; for 60 degrees will be 0.87, and lastly, for 90 degrees angles will be 1.
The computation of slit-width-to-wavelength ratio for each of the angles after assuming that the small-angle approximation as invalid, has been given, as below,
sin θ = λ / a
sin30∘ = λ / a
0.5 = λ / a
a / λ = 2
Similarly,
sin θ = λ / a
sin60∘ = λ / a
0.87 = λ / a
a / λ = 0.87
And lastly, for 90 degrees
sin θ = λ / a
sin90∘ = λ / a
1 = λ / a
a / λ = 1
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Select all the functions that show an inverse variation...
a) y=6x
b) y=3/x
c) y=1/3x
d) y= -.07x
e) y= 2/x+4
f) xy=-3
Function y=3/x, y= 2/x+4, and xy=-3 shows an inverse variation option (b), (e), and (f) are correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
As we know, when x is not equal to zero and k is a nonzero real number constant, the equation of the form xy = k describes the nonlinear function known as inverse variation.
a) y=6x
The above function is a linear function
b) y=3/x
or
xy = 3
The above function shows an inverse variation.
c) y=1/3x
or
y = (1/3)x
The above function is a linear function
d) y= -.07x
The above function is a linear function
e) y= 2/x+4
or
y = (2+4x)/x
xy = 2 + 4x
The above function shows an inverse variation.
f) xy=-3
The above function shows an inverse variation.
Thus, function y=3/x, y= 2/x+4, and xy=-3 shows an inverse variation option (b), (e), and (f) are correct.
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In a basketball game Fintan made 16 baskets. Each of the baskets is worth either 2 or 3
points, and Fintan scored a total of 39 points from baskets. How many 3 point baskets did
Fintan make in the game?
when using a multiple-baseline design, how would one decide when to implement the independent variable?
of all eligible voters in your county, 70\pp, percent are currently registered to vote. a recent poll predicts that the relationship between vvv, the percentage of all eligible voters who are registered to vote, and ttt, the number of years from now will be modeled by the following equation. v
The relationship between the percentage of eligible voters who are registered to vote (vvv) and the number of years from now (ttt) can be modeled by the equation given.
However, you haven't mentioned the specific equation, so I'm unable to provide a detailed answer. In order to understand the relationship, it's important to have the equation.
The equation that models the relationship between the percentage of eligible voters who are registered to vote (vvv) and the number of years from now (ttt) is not provided in your question. Without the specific equation, it's difficult to give a detailed answer.
However, in general, if the equation is given, you can use it to determine how the percentage of registered voters changes over time. For example, if the equation shows an increasing trend, it means that as the number of years from now increases, the percentage of registered voters also increases.
On the other hand, if the equation shows a decreasing trend, it means that as the number of years from now increases, the percentage of registered voters decreases. By analyzing the equation, you can draw conclusions about the relationship between the two variables.
In conclusion, without the specific equation, it is not possible to provide a detailed answer regarding the relationship between the percentage of eligible voters who are registered to vote (vvv) and the number of years from now (ttt). The equation is crucial in understanding the specific relationship between these variables.
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Need help asap pls ty
Which is the best estimate of 11-2?
04
06
O22
33
Please help me I’ll make u brainliest I swear please
Since the provided equation is inconsistent, it cannot intersect.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Here,
we can see that the second set of equation,
4x+2y=12
20x+10y=30
4/20=2/10≠12/30
1/5=1/5≠2/5
The given equation is inconsistent so it does not intersect.
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I just need level two and three solved please
Answer:
intercepts: (0, 5/2) or (-5, 0)arbitrary point: (7, 6)Step-by-step explanation:
You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).
InterceptsWriting the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -2 = 1/2(x -(-1)) . . . . . using given slope and point
2y -4 = x +1 . . . . . . . . . . multiply by 2
x -2y = -5 . . . . . . . . . . . . add -1 -2y
Setting x=0 tells us the y-intercept is ...
0 -2y = -5
y = -5/-2 = 5/2
So, the y-intercept is (0, 5/2).
Setting y=0 tells us the x-intercept is ...
x -2(0) = -5
x = -5
So, the x-intercept is (-5, 0).
Arbitrary pointIt will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...
x -2y = -5
x = -5 +2y = -5 +2(6) = 7
Another point on the line is (7, 6).
__
Additional comment
If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.
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Find the area. Please hurry!