The function used to model the monthly profit for x trinkets produced are f(x) = -4(x - 50)(x - 250). The maximum profit occurs when 150 trinkets are produced.
The quadratic function that can be used to model the monthly profit for x trinkets produced is:
f(x) = -4(x - 50)(x - 250)
This is because the function is in the form of a quadratic equation, which is y = ax² + bx + c. In this case, a = -4, b = 1200, and c = 0. When we expand and simplify the equation, we get:
f(x) = -4x² + 1200x
This equation represents a parabola with a maximum value at x = 150. Therefore, the maximum profit occurs when 150 trinkets are produced.
The other answer choices are not correct because they are not quadratic functions. For example, f(x) = (x - 50)(x - 250) is a product of linear factors, and f(x) = 28(x - 50)(x + 250) and f(x) = (x + 50)(x + 250) have a coefficient of x² that is not equal to -4.
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Which of the following is an example of an adaptation? (5 points) A story presented as a play A movie review A story presented in its original form A literary analysis
Answer:
A story presented as a Play
Step-by-step explanation:
They are adapting a story to a play. They are changing the story to a play and they are getting used to the play so this means it is adapting. Therefore the answer is A story presented as a play.
Answer:
A story presented as a play
To solve -3 = -19 + d/5, what steps would you use?
19 add divide multiply subtract
5 add divide multiply subtract
To solve the expression, the steps are add 19 and multiply by 5
How to solve the expressionGiven the equation;
-3 = -19 + d/5
First,
Collect like terms
-3+ 19 = d/5
Add the values on the left side
We have
16 = d/5
Cross multiply
16 × 5 = d
We then have
d = 80
Thus, to solve the expression, the steps are add 19 and multiply by 5
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a(n) ? is a shorthand method for writing a mathematical rule.a. equal sign (=)b. equationc. formulad. math problem
The equation is a shorthand method for writing a mathematical rule.
The answer to your question is b.equation. An equation is a shorthand method for writing a mathematical rule. It represents a relationship between two or more variables using mathematical symbols and operations. Equations are commonly used in algebra, calculus, and other areas of mathematics to solve problems and make predictions. They are written using an equal sign (=) to show that the expression on the left is equal to the expression on the right. Equations are an important tool in mathematics because they allow us to express complex ideas in a concise and precise way. By using equations, we can simplify calculations and solve problems more efficiently.
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Corresponding Angles are congruent.
Which angle corresponds with <4?
4546
47 48
<[?]
41 42
43/44
Answer:
Angle 8
Step-by-step explanation:
consider the following image
Answer:
∠8Step-by-step explanation:
The angles in matching corners are called Corresponding Angles.
The angle that corresponds with ∠4 is ∠8 as both of them are on the bottom right corner.
What is the inverse of the function h(x)=5/2x+4 h^{-1}(x)=
Answer:
Step-by-step explanation:
Hello, please consider the following.
\(h(x)=5/2x+4 \\\\x=(h^{-1}o})(x)=(hoh^{-1})(x)=h(h^{-1}(x))=\dfrac{5}{2h^{-1}(x)+4}\\\\<=> 2h^{-1}(x)+4=\dfrac{5}{x}\\\\<=> h^{-1}=\dfrac{\dfrac{5}{x}-4}{2}\\\\<=>h^{-1}=\dfrac{5-4x}{2x}\)
Thank you.
Solve the rational tnequalty and graph the sulubon set on a real number ine. Express the sinlution wet in irserval fotation. \[ \frac{-x+6}{x-8} \geq 0 \]
Given rational inequality: \($\frac{-x+6}{x-8} \geq 0$\)To solve this inequality, we need to make use of critical values and intervals methods. We can start by finding the critical values of \($x$\) by equating numerator and denominator to zero.\(x-8 = 0 \implies x = 8\) and \($-x+6=0 \implies x=6$\)
Therefore, critical values of \($x$\) are 6 and 8.
Now, we can construct the intervals by taking these critical values into account.\($(-\infty, 6), (6, 8), (8, \infty)$\)To find out the intervals of solutions, we will take test values from each interval and plug it into the inequality. First Interval:
\($x = 0\\\) \($\implies \frac{-0+6}{0-8} < 0$\)
This test fails, therefore, first interval is not in solution set.Second Interval:
\($x = 7\) \($\implies \frac{-7+6}{7-8} > 0$\)
This test passes, therefore, second interval is in the solution set.
Third Interval:
x = 10 \($\implies \frac{-10+6}{10-8} < 0$\)
This test fails, therefore, third interval is not in solution set.Therefore, solution set of given rational inequality is \($(6, 8]$\). Thus, the solution in interval notation is: (6,8)Below is the graph of solution set on real number line:
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if a function has vertical asymptotes, can it be continuous?
we have that
if a function has vertical asymptotes
then
The function is not continuous
Example
f(x)=1/x
The function has a vertical asymptote at x=0
The domain is the interval (-infinite,0) U (0, infinite)
The value of x=0 is not included in the domain
therefore
The function is not continuous
An Investment of $10,000 yields 8% interest compounded quarterly.
What will be the accumulated capital after 6 months?
What will be the accumulated capital after 5 years?
An Investment of $10,000 yields 8% interest compounded quarterly. The accumulated capital after 6 months is $10,404. The accumulated capital after 5 years is $14.859.47
From the information given;
The principal amount of investment = $10,000Interest Rate = 8% = 0.08number of times it get compounded = 4a. we are to determine the amount of the accumulated capital after 6 months.
i.e. when time (t) = 6 months.Now, using the formula for calculating the amount value of the accumulated capital:
\(\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}\)
\(\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times \frac{1}{2}}}\)
\(\mathbf{A = 10000(1.02)^2}}\)
A = $10,404
b. we are to determine the amount of the accumulated capital after 5 years
i.e. when time (t) = 5 years\(\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}\)
\(\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times 5}}\)
\(\mathbf{A = 10000(1.02)^20}}\)
A = $14859.47
Therefore, we can conclude that the accumulated capital after 6 months is $10,404 and the accumulated capital after 5 years is $14859.47
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Which derived character is placed immediately after that group on the cladogram?
Answer:
Step-by-step explanation:
One that has the next least in common with the rest.
pls pls pls help if you know!! I’ll give brainliest pls!
Find the length of arc AC to the nearest tenth
Answer:
135
Step-by-step explanation:
if you think about it al cicle = 360 so its 360- 225= 135
Solve: -1/2x +2=-x+7
Answer:
x = 10
Step-by-step explanation:
-1/2x + 2 = -x + 7
multiply by 2 so that -1/2x becomes -x
(-1/2x + 2 = -x + 7)2
-x + 4 = -2x + 14
subtract 4 from both sides
-x = -2x + 10
add -2x to both sides
x = 10
The equation represented by the table
Answer:
A. y= -3x - 1
that's the answer of you substitute the figures in x into where x can be located in A
I NEED HELP QUICK like very quick
Answer:
2.5 or 2 1/2
Step-by-step explanation:
i caculated do order of operations
A 1 km long train is travelling at 30km/h. If the train enters a tunnel that is 1 km long, how much time will it take for the train to clear the tunnel?
Answer: 240 seconds OR 4 minutes
Step-by-step explanation:
Length of the train = 1 km
Length of the tunnel = 1 km
Therefore, length of the train + length of the tunnel = (1 + 1) km = 2 km
= 2000 m
Speed of the train = 30 km/hr = 8.333 metres per second
Therefore, time taken by the train to cross the tunnel = 2000 m/ 8.333 m/sec.
= 240 seconds = 4 minutes
On the basis of a survey of 1000 families with six ​children, the probability of a family having six girls is 0.0054.
A.Empirical method
B.Classical method
C.Subjective method
D.It is impossible to determine which method is used.
The method used to determine the probability of a family having six girls, based on a survey of 1000 families with six children, is the classical method.
The classical method involves calculating probabilities based on the assumption of equally likely outcomes and known sample spaces. In this case, the sample space consists of all possible combinations of genders for six children, and the probability of a family having six girls is calculated as the ratio of the favorable outcome (one specific combination) to the total number of outcomes (all possible combinations).
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Hey why is no one answering my questions, I really need help on something and people are just typing random things and I’m just done talking leads let me know if you can help me with a few linear equations problems and I’ll give you 100 points and brainliest, there’s a glitch on my profile where it’s stuck at 20 but I actually have 100
Answer:
what are the questions ?
Step-by-step explanation:
9
Select the correct answer from each drop-down menu.
CD is perpendicular to AB and passes through point C(5, 12).
If the coordinates of A and B are (-10, -3) and (7, 14), respectively, the x-intercept of CD is
Reset
Next
<
The point
✓lies on CD
The x-intercept of CD is 17.
Since CD is perpendicular to AB and passes through point C(5, 12), we can find the equation of CD using the slope-intercept form.
The slope of CD can be determined using the negative reciprocal of the slope of AB.
Slope of AB = (change in y) / (change in x) = (14 - (-3)) / (7 - (-10)) = 17 / 17 = 1
The negative reciprocal of 1 is -1. Therefore, the slope of CD is -1.
Using the slope-intercept form, we can write the equation of CD as:
y - y1 = m(x - x1),
where (x1, y1) is a point on CD. Let's use point C(5, 12):
y - 12 = -1(x - 5)
Simplifying the equation, we have:
y - 12 = -x + 5
y = -x + 17
To find the x-intercept, we set y = 0 and solve for x:
0 = -x + 17
x = 17
Therefore, the x-intercept of CD is 17.
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what number is the square root of 78 in between of
Answer:
the square root rounded up is around 8
Step-by-step explanation:
because if the 5 is not beside the number it rounds down and the number was 3 so its 8
3)
х
45°
11
A) 10.8
C) 11.0
B) 11.6
D) 8.8
Answer:
AAO 22.902 A 45 12.632 13,939 945 559,302 5A , 480 1.17 6.044 36,491 ... 12.1 F 13.2 12.1 F 13.2 12.1 E 13.2 12.1 F 12.9 12.5 8.6 8.3 F 10.0 9.7 8.6 B.3 E 11.6 ... 10.5 D 11.8 10.5 C 11.8 10.5 D 11.8 10.5 с 11.8 10.5 U 11.8 10.5 D 13.3 12.7 ... 10.1 12.1 11.4 8.8 A.3 13.3 12.9 13.3 12.5 13.3 12.5 13.3 12.5 11.0 10.4 13.3 ...
One of the primary goals of constructing a frequency distribution for quantitative data is to summarize the data:________
One of the primary goals when constructing a frequency distribution for quantitative data is to summarize the data in a manner that: accurately depicts the data as a whole.
Hence, option (a) is correct.
One of the primary goals of constructing a frequency distribution for quantitative data is to summarize the data by organizing it into classes or intervals and showing how many data points fall into each class.This allows for a quick visual representation of the data and can reveal patterns, trends, and insights that might not be apparent when looking at the raw data. The frequency distribution can also be used to calculate various descriptive statistics such as measures of central tendency (e.g., mean, median) and measures of dispersion (e.g., range, standard deviation) that further summarize the data and provide a more complete understanding of its characteristics.
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The complete question may be:
One of the primary goals when constructing a frequency distribution for quantitative data is to summarize the data in a manner that:_____________
(a) accurately depicts the data as a whole.
(b) accurately add the data as a whole.
(c) Make a frequency distribution of data
(d) None of the above
To determine the effectiveness of an industrial safety programme, the following data were collected over a period of a year on the average weekly loss of man hours due to accidents in 12 plants, before and after the programme was put in operation:
Before : 50 87 141 59 65 24 88 25 36 50 35
After : 41 75 35 129 60 53 26 85 29 31 48 37
Assume the number of accidents across the plants are normally distributed and that the variance is the same before and after. a) Which of the following three tests is the most appropriate to answer whether there is a difference in the average weekly loss of man hours due to accidents in the 12 plants, before and after the programme was put in operation:
a T test paired two sample for means, a T test two sample assuming equal variances, and a Z test two sample assuming equal variances? Justify your answer. b) Using the appropriate test, construct a 95% confidence interval for the difference in the average weekly loss of man hours due to accidents in 12 plants, before and after the programme was put in operation. a) Use a=0.01 to test the null hypothesis that the safety programme is not effective against a suitable one sided alternative.
a. The most appropriate test to determine is the t-test. The level of significance (a) is given as 0.01, indicating a one-sided alternative hypothesis.
The most appropriate test to determine if there is a difference in the average weekly loss of man hours due to accidents in the 12 plants before and after the safety program is a paired two-sample t-test.
A paired two-sample t-test is suitable when we have paired observations or measurements taken before and after an intervention, such as the safety program in this case. In this test, we compare the means of the paired differences to assess if there is a significant change.
In the given data, we have measurements before and after the safety program, representing paired observations for each plant. We want to analyze if there is a difference in the average weekly loss of man hours. Therefore, a paired t-test is appropriate as it considers the paired nature of the data and evaluates the significance of the mean difference.
b. Using the paired t-test, we can construct a 95% confidence interval for the difference in the average weekly loss of man hours before and after the program. This interval will provide an estimate of the range within which the true difference in means lies, with 95% confidence.
By plugging in the appropriate formulas and values from the data, we can calculate the confidence interval. Therefore, The level of significance (a) is given as 0.01, indicating a one-sided alternative hypothesis.
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7. The table shows the cost for ordering a certain number of pieces of chicken.
What is the value of x if the cost is proportional to the number of chicken
pieces ordered?
Pieces of Chicken Ordered
2
3
4
6
Cost
$3.00
$4.50
$6.00
A. $4.00
B. $9.00
C. $1.50
D. $6.67
Which system of linear equations best represents the tables shown below?
From the first table, we can use the points (-1,3) and (5,-3) to find the first equation:
\(\begin{gathered} \text{slope:} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ \Rightarrow m=\frac{-3-3}{5-(-1)}=\frac{-6}{5+1}=\frac{-6}{6}=-1 \\ m=-1 \end{gathered}\)then we can use the point to find the equation in slope-point form:
\(\begin{gathered} y-y_1=m(x-x_1) \\ \Rightarrow y-3=-1(x-(-1))=-x-1 \\ \Rightarrow y=-x-1+3=-x+2 \\ y=-x+2 \end{gathered}\)we can do the same with the next table, using the points (1,-1) and (7,11):
\(\begin{gathered} \text{slope:} \\ m=\frac{11-(-1)}{7-1}=\frac{11+1}{6}=\frac{12}{6}=2 \\ m=2 \\ \text{Equation:} \\ y-(-1)=2(x-1)=2x-2 \\ \Rightarrow y+1=2x-2 \\ \Rightarrow y=2x-2-1=2x-3 \\ y=2x-3 \end{gathered}\)therefore, the system of equations is:
\(\begin{cases}y=-x+2 \\ y=2x-3\end{cases}\)A line segment has the endpoints C(8,6) and D(8,2). Find the coordinates of its midpoint M
Therefore , the solution of the given problem of coordinates comes out to be x =8 and y =4 as (8,4) is the midpoint of the given line.
How are coordinates used?Using one or more values or coordinates, a coordinate system is a geometry approach used to better able to monitor points or any other topological items on a spectrum, such as Euclidean space. The coordinates of a point or object on a double plane are a pair of integers. A point's placement on a 2D plane is specified by two integers called the x and y coordinates. a set of integers indicating precise locations. The figure typically includes two numbers.
Here,
given :
Points = C(8,6) and D(8,2).
Thus ,
For midpoint:
=> x = (x1 + x2) /2
=> x = (8 + 8 )/2
=> x =16/2
=> x = 8
For y :
=> y = (y1 + y2) /2
=> y = (6 +2) /2
=> y = 8/2
=> y =4
Therefore , the solution of the given problem of coordinates comes out to be x =8 and y =4 as (8,4) is the midpoint of the given line.
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solve for x
4x + 9
16x - 9
Answer:
9
Step-by-step explanation:
Vertical lines are parallel so the given interior angles are supplementary and their sum is equal to 180:
4x + 9 + 16x - 9 = 180 add like terms
20x = 180 divide both sides by 20
x = 9
(02.01 MC) Given g(x) = 3x + 6, identify the domain, range, and x-intercept of the function. Domain: 3 < x < 6; Range: −6 < y < ∞; x-intercept (2, 0) Domain: 3 < x < 6; Range: −∞ < y < 6; x-intercept (−2, 0) Domain: −∞ < x < ∞; Range: −∞ < y < ∞; x-intercept (2, 0) Domain: −∞ < x < ∞; Range: −∞ < y < ∞; x-intercept (−2, 0)
The domain and the range are −∞ < x < ∞ and −∞ < y < ∞ while the intercept is (2, 0)
What is the domain of a function?The domain of the function is the set of input values of the graph
What is the range of a function?The range of the function is the set of input values of the graph
How to determine the domain and the range of the function?The function is given as
g(x) = 3x + 6
The above function is a linear function
This means that the domain and the range of the function are the set of all real values
i.e. −∞ < x < ∞ and −∞ < y < ∞
Calculate x when g(x) = 0 to determine the x-intercept
So, we have
3x + 6 = 0
Divide through by 3
x + 2 = 0
This gives
x = -2
Hence, the domain and the range are −∞ < x < ∞ and −∞ < y < ∞ while the intercept is (2, 0)
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a poll shows that of all voters approve of the mayor's work. on three separate occasions a pollster selects a voter at random. what is the probability that on exactly one of these three occasions the voter approves of the mayor's work?
The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:
0.189 = 18.9%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The values of these parameters in the context of this problem are given as follows:
n = 3, p = 0.7.
Then the probability of exactly one success is calculated as follows:
P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.
Missing InformationThe proportion of voters that approve the mayor's work is of 70%.
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Diane had $92.28 in her checking account. Then, she spent $69.48 from the account. How much money is left in Diane's checking account?
30 points help asap!!!!!!!!!!!!!!!!!!!!!!!
Between what two integers is the value of pi ^ 2
Answer:
pi^2 is in between 9 and 10
Step-by-step explanation:
pi^2= about 9.87
Answer:
yhnhju
Step-by-step explanation: