All-star trinkets estimates its monthly profits using a quadratic function. the table shows the total profit as a function of the number of trinkets produced. which function can be used to model the monthly profit for x trinkets produced? f(x) = –4(x – 50)(x – 250) f(x) = (x – 50)(x – 250) f(x) = 28(x 50)(x 250) f(x) = (x 50)(x 250)

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

Answer:

2.5 or 2 1/2

Step-by-step explanation:

i caculated do order of operations

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

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

Answer:

Step-by-step explanation:

One that has the next least in common with the rest.

The domain and the range are  −∞ < x < ∞ and −∞ < y < ∞ while the intercept is (2, 0)

The domain of the function is the set of input values of the graph

The range of the function is the set of input values of the graph

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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From the first table, we can use the points (-1,3) and (5,-3) to find the first equation:

then we can use the point to find the equation in slope-point form:

we can do the same with the next table, using the points (1,-1) and (7,11):

therefore, the system of equations is:

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

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

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.

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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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

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

Answer:

135

Step-by-step explanation:

if you think about it al cicle = 360 so its 360- 225= 135

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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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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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;

a. we are to determine the amount of the accumulated capital after 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

\(\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}\)

\(\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times 5}}\)

\(\mathbf{A = 10000(1.02)^20}}\)

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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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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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%.

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:

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%.

The proportion of voters that approve the mayor's work is of 70%.

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To solve the expression, the steps are add 19 and multiply by 5

Given 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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Answer:

Angle 8

Step-by-step explanation:

consider the following image

Answer:

Step-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.

Answer:

A. y= -3x - 1

that's the answer of you substitute the figures in x into where x can be located in A

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 ...

Answer:

pi^2 is in between 9 and 10

Step-by-step explanation:

pi^2= about 9.87

Answer:

yhnhju

Step-by-step explanation:

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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Answer:

what are the questions ?

Step-by-step explanation:

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.

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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