help me please…………………

Since g is a periodic function with a period of 24, it means that the function repeats itself every 24 units. Therefore, we can determine the value of g(80) by finding an equivalent value within one period of the function.

To do this, we need to find the remainder when 80 is divided by 24. The remainder will give us the distance from the starting point of the period (0) to the point we want to evaluate (80).

80 divided by 24 gives a quotient of 3 and a remainder of 8. This means that 80 is equivalent to 24 times 3 plus 8, or 3 periods of 24 plus an additional 8 units.

Since g has a period of 24, the function value at g(80) will be the same as the function value at g(8) because 80 is equivalent to 8 within the same period.

Given that g(8) = 70, we can conclude that g(80) is also equal to 70.

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Answer:

A

Step-by-step explanation:

The thing that is represented is the area of the walkway along the length of the flower patch. Therefore, option A is the correct answer.

Given that, Sam created function A to represent the total area taken total length and width A= 4:2 + 36.1 + 72

From the information given, Sam created function A to represent the total area taken up by the flower patch and walkway by multiplying the functions modelling the new total length and width.

Therefore, option A is the correct answer.

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The solutions to the quadratic equation x² = -7x - 8 are x equals  \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

Given the quadratic equation in the question:

x² = -7x - 8

To find the solutions of the quadratic equation x² = -7x - 8, we can rearrange it into standard quadratic form, which is ax² + bx + c = 0, and apply the quadratic formula.

x² = -7x - 8

x² + 7x + 8 = 0

a = 1, b = 7 and c = 8

Plug these into the quadratic formula: ±

\(x = \frac{-b \± \sqrt{b^2 -4(ac)}}{2a} \\\\x = \frac{-7 \± \sqrt{7^2 -4(1*8)}}{2*1} \\\\x = \frac{-7 \± \sqrt{49 -4(8)}}{2} \\\\x = \frac{-7 \± \sqrt{49 - 32}}{2} \\\\x = \frac{-7 \± \sqrt{17}}{2} \\\\x = \frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\)

Therefore, the values of x are \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

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Answer:

f(x) = \(\frac{1}{7}(x+5)(x-1)(x-4)\)

Step-by-step explanation:

Let the equation of the give cubic function is,

f(x) = p(x - a)(x - b)(x - c)

Here, a, b, c and d are the x-intercepts of the given graph.

Since, x-intercepts given in the graph are x = -5, 1 and 4,

Equation of the curve will be,

f(x) = p(x + 5)(x - 1)(x - 4)

Since, the graph of this function passes through (2, -2) also

-2 = p(2 + 5)(2 - 1)(2 - 4)

-2 = -p(14)

p = \(\frac{2}{14}\)

p = \(\frac{1}{7}\)

Therefore, equation will be,

f(x) = \(\frac{1}{7}(x+5)(x-1)(x-4)\)

The stem-and-leaf display of the data is

Stem | Leaves

1 | 2

2 | 2

3 | 3

4 | 5, 8

To start, let's assume we have a set of data values, such as 12, 22, 33, 45, 48, 53, 61, 62, 72, 83, 91, 96, 99.

The stem-and-leaf display consists of two parts: the "stem" and the "leaf." The stem represents the leading digit(s) of the data values, and the leaf represents the trailing digit(s). For example, the number 12 has a stem of 1 and a leaf of 2.

Now, let's organize the data values into their corresponding stems:

Stem 1: 12

Stem 2: 22

Stem 3: 33

Stem 4: 45, 48

Next, we list the leaves corresponding to each stem. The leaves are listed in ascending order next to their respective stems:

Stem 1: 2

Stem 2: 2

Stem 3: 3

Stem 4: 5, 8

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Answer:

Answer is 70%

Step-by-step explanation:

I hope it's helpful!

Answer:

60%of x=42

x=42×100/60=70 is your answer

Answer:

see the attached image

Step-by-step explanation:

In this problem, we are asked to graph a line that represents the equation \(y=\dfrac{3}{4}x - 1\).

We can recognize that this equation is in slope-intercept form:

\(y = mx + b\)

where m is the line's slope, and b is its y-coordinate of the line's y-intercept (the point where it touches the y-axis).

From this information, we can deduce that the line's slope (rise over run) is 3/4, and its y-intercept is (0, -1). — notice how x is 0, since the y-axis can be represented as the line x = 0

Using this information, we can graph the following points:

(-4, -4)

(0, -1)

(4, 2)

See the attachment for an image of the graph.

Convenience sampling enables generalizations to a larger group and probability sampling is not "bad."

Any non-sampling technique where units are selected for the sample based on their accessibility to the researcher is called convenience sampling.

This can be due to geographical closeness, availability at a certain time, or participation in the study.

A non-random sampling technique is convenience sampling, also referred to as accidental sampling.

Convenience sampling is commonly used in qualitative and medical research initiatives.

In medical science, convenience sampling typically comprises selecting clinical cases or volunteers from a database of medical data that are accessible nearby (such as at a hospital).

Where it is practicable to do so, convenience sampling is often used in qualitative research in the social sciences and in education, even among groups like these students.

Therefore,

Convenience sampling enables generalizations to a larger group and probability sampling is not "bad."

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The statement "Mr. C's visual acuity is 20/50. This means that he can see 20% of the letters on the chart's 20/50 line" is incorrect. The correct interpretation of Mr. C's visual acuity is: he can read letters while standing 20 feet from the chart that the average person could read at standing 50 feet from the chart.

This means that Mr. C's vision is worse than average as he needs to be closer to the chart to read the same letters that an average person can read from a farther distance. Here's a breakdown of what 20/50 means: The top number (20) represents the distance between the eye being tested and the eye chart. In this case, it is 20 feet. The bottom number (50) represents the distance at which a person with normal vision can read the same line on the chart from the same distance as the person being tested.

In this case, an average person can read the 20/50 line from 50 feet away. Therefore, Mr. C's vision is not perfect at 50 feet. He can only see half of what an average person can see at 20 feet. The difference of cubes can be factored as a product of a binomial and trinomial such that the difference of cubes will have a binomial difference, multiplied by a trinomial where the first term is the cube root of the first term, the second term is the product of the square of the cube root of the first term and the cube root of the second term, and the third term is the cube root of the square of the second term.

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Answer:

32

Step-by-step explanation:

I'm gonna assume that huge white dot means multiply

55-3×9+12÷3 ur gonna wanna use pemdas here

so multiply first

55-27+12÷3

now divide

55-27+4

now go left to right

28+4

32

4x +3y =5 -------> eq (1)

2x -5y =9 -------> eq(2)

eq(2) * -2 --------> -4x +10y =-18 ------->eq(3)

eq(1) + eq(3) -----> 13y =13 ----> y=1 <>

then When you substitute y=1 into any equation

x=7

Answer:

i think its option 1

Step-by-step explanation:

Answer:

250 small boxes (this may be wrong)

Step-by-step explanation:

I got the volume of both boxes and divided the bigger box by the smaller box.

Answer:

250 boxes

Step-by-step explanation:

Volume of a cuboid = (length × breadth × height)

Bigger cuboid

Length = 30cm

Breadth = 50cm

Height = 20cm

Volume of bigger cuboid = (30×50×20)

Volume =30 000cm^3

Smaller cuboid

Length = 3cm

Breadth = 10cm

Height = 4cm

Volume of smaller cuboid = (3×10×4)

Volume = 120 cm^3

No of small boxes needed to fill bigger box =

30000/120

= 250 smaller boxes

I hope it helps :)

The percentage of the questions which of are intermediate​ level are 31 %.

It is given in the question that practice questions for a textbook are marked with difficulty levels of​ easy, intermediate, and difficult.  It is also given that 42 of the 136 practice questions are rated as​ intermediate.

We have to find the percentage of the questions which of are intermediate​ level .

We know that,

Percentage of intermediate questions = (Number of intermediate questions/Total number of questions)*100

Hence, from the data given in the question, we can write,

Percentage of intermediate questions = (42/136)*100 = 30.88 % ≈ 31 %

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The GWA of 20 students in grade 10 for the third quarter is around 88.9. Students should continue to work hard throughout the entire school year, and cultivate the courage to take risks and pursue their dreams.

Thank you for your question. It seems like you are asking about the GWA or General Weighted Average of 20 students in grade 10 for the third quarter. Based on the list of numbers you provided, the average GWA for these students is around 88.9. It is important to note that the GWA takes into account not only the numerical grades but also the weight or value of each subject. Therefore, it is a more accurate representation of a student's overall performance.
In terms of the third quarter, it is the period between the second and fourth quarters of the school year. This means that students have completed half of the school year and are gearing up for the second half. It is important for students to continue working hard and striving for excellence throughout the entire school year, not just in one quarter.
Lastly, courage is a vital trait that students need to possess in order to achieve their goals. It takes courage to try new things, to speak up for oneself, and to persevere through difficult challenges. Without courage, students may feel discouraged and give up on their dreams. Therefore, it is important to encourage students to be brave and take risks in their academic and personal lives.
In conclusion, the GWA of 20 students in grade 10 for the third quarter is around 88.9. Students should continue to work hard throughout the entire school year, and cultivate the courage to take risks and pursue their dreams.

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Answer:

X=-8

Step-by-step explanation:

2 #7&"8*_8-*'7&-$(7

X<-8

On the number line, put the dot at -8 and shade to the left.

Answer: A and D

Step-by-step explanation: \(\sqrt{400\) is a rational number because when calculate the square root 400 you get 20. \(\sqrt\\400\) is a rational number. The area of the square would be perfect square because 20*20=400. A and D are the correct answers.

The future amount at the end of 2 years for a $20,000 investment that yields 15% at the end of each year is $26,450. Option c is correct.

We need to replace the values with the formula for the future value of an investment when it earns a fixed interest rate. The formula is:

Where:

We can then substitute in the formula, which will be:

Therefore, based on the formula, we find that the future value of $20,000 after 2 years of investment at an interest rate of 15% will be $26,450.

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The equation most closely models the line of best fit for the scatter plot is y = 2.5x

A line is the distance between two points. The equation of a line in point-slope form is given as y =mx + b

Using the coordinate points on the line (3, 5000) and (9, 20000)

Get the slope

Slope = 20000-5000/9-3
Slope = 15000/6 = 2500

Determine the y-intercept

5000 = 2500(3) + b

b = 5000 - 7500
b = -2500

Determine the equation

y = 2.5x - 2.5

Hence the equation most closely models the line of best fit for the scatter plot is y = 2.5x

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Explanation:

Imagine that your teacher wanted you to find the midpoint of -3 and 7 on the number line. To do this, you would add up the given values and divide by 2.

(-3+7)/2 = 4/2 = 2

The value 2 is right in the middle of -3 and 7 on the number line. This result is also the x coordinate of the midpoint since the values I used were the x coordinates of the original points.

The y coordinates are handled the same way:

(18+24)/2 = 42/2 = 21

The y coordinate of the midpoint is y = 21

Overall, the midpoint is (2, 21)

Option (d)

\(midpoint \: of \: the \: two \: points \: = (\frac{x1 + x2}{2}) \: (\frac{y1 + y2}{2}) \)

Let,

(-3,18) be (x1, y1). (7,24) be (x2,y2)

Substitute in this formula we get,

\( (\frac{ - 3 + 7}{2}) \: (\frac{18 + 24}{2}) \)

\( (\frac{4}{2}) \: ( \frac{42}{2})\)

= (2, 21)

hello

to solve this question, we should let the unknown number be represented by x

the first number (x) is equal to 11, we can find the other number.

from the calculations above, the numbers are 11 and 22

She can select one freshman and one sophomore in 72 ways.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Phyllis who wants to select one freshman and one sophomore to attend a conference. She teaches 8 freshman and 9 sophomores

Total number of possible combinations are -

C[8,1] x C[9,1]

8!/(7! x 1!) x 9!/(8! x 1!)

8 x 9

72

Therefore, she can select one freshman and one sophomore in 72 ways.

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Answer:

8/ln(9)

Step-by-step explanation:

Let u=cos(x). Then du=-sin(x) dx.

If x=0, then u=cos(0)=1.

If x=pi/2, then ucos(pi/2)=0.

The intgral is rewriten as

Integrate((9^u (-du) , from u=1 to u=0)

-9^u/ln(9) |u=1..0)

Upperlimit goes in first no matter if it is tinier in value:

(-9^0/ln(9)--9^1/ln(9))

-1/ln(9)+9/ln(9)

8/ln(9)

Answer:

384

Step-by-step explanation:

The 14 tells us that we really have another group of tens a 4 ones.  That makes 3 hundreds, 8 tens and 4 ones.

Answer:

s = 1.1

Step-by-step explanation:

To solve this, we will need to begin by isolating the variable. Move s to one side, and constants to the other.

15.32 - 8.4s = -9.65 + 14.3s

Add 8.4s to both sides, and 9.65 to both sides, giving us:

24.97 = 22.7s

Dividing both sides by 22.7 results in:

s = 1.1

So the right answer is 1.1

look at the attached picture

hope it will help you

good luck on your assignment

The statements that are TRUE regarding the box plots are:

A, D, and E.

The box plots are given in the image attached below.

The values displayed by a box plot for a given data are:

Interquartile range = Third Quartile - First Quartile.

Thus, shelter's A median is 21, shelter B's 18.

Interquartile range for shelter A = 28 - 8 = 20

Interquartile range for shelter B = 28 - 10 = 18

Therefore, the statements that are TRUE regarding the box plots are:

A, D, and E.

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The height of the  building which casts a 103-foot shadow is 95.5 foot.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that building casts a 103-foot shadow at the same time that a 32-foot flagpole casts as 34.5-foot shadow

We need to find the height of the building.

Let us consider x be the height of building.

Form a proportional equation.

x/103=32/34.5

Apply cross multiplication

34.5x=32×103

34.5x=3296

Divide both sides by 34.5

x=3296/34.5

x=95.5

Hence, 95.5 foot be the height of the  building which casts a 103-foot shadow.

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The convergence set of the given power series Σ n=0 is {0}. The ratio test is inconclusive for this power series. Since the nth term diverges to infinity as n → ∞, the series diverges for n ≥ 1.

Given: Σ n=0. We need to determine the convergence set of the given power series. Σ n=0.

We are to express the ratio an/an+1. We will first write out the ratio test which is as follows:lim n→∞|an+1/an|If this limit is less than 1, the series converges.

If this limit is greater than 1, the series diverges. If this limit is equal to 1, the test is inconclusive. Let's write out the ratio an/an+1 an an+1.

We can cancel out the factorial terms, giving:an/an+1=(n+1)/(n+3).

Now, we will use this ratio to solve the main answer.

We apply the ratio test to find the convergence set of the power series:lim n→∞|an+1/an|= lim n→∞|[(n+1)/(n+3)]/[n/(n+2)]| = lim n→∞|n(n+1)/[(n+3)(n+2)]| = lim n→∞|(n² + n)/(n² + 5n + 6)| = 1.

So, the limit is equal to 1. Therefore, the ratio test is inconclusive. We need to use other tests to find the convergence set. Since the nth term diverges to infinity as n → ∞, the series diverges for n ≥ 1. So, the convergence set of the given power series is {0}.

The convergence set of the given power series Σ n=0 is {0}. The ratio test is inconclusive for this power series. Since the nth term diverges to infinity as n → ∞, the series diverges for n ≥ 1.

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To find the greatest common divisor (GCD) of all the numbers that are the product of four consecutive positive integers, let's analyze the pattern and derive a formula for these numbers.

Let's consider the product of four consecutive positive integers as follows:

\(n * (n + 1) * (n + 2) * (n + 3)\)

Expanding this expression:

\(n * (n + 1) * (n + 2) * (n + 3) = n^4 + 6n^3 + 11n^2 + 6n\)

Now, to find the GCD of these numbers, we need to determine the common factors among them.

If we observe the expanded expression, we notice that each term contains at least one factor of n. Therefore, the GCD of the given numbers must have n as a factor.

Next, let's look at the other terms: \(6n^3, 11n^2\), and 6n. All these terms have n as a factor. Additionally, they have a common factor of 6.

Hence, the GCD of the numbers that are the product of four consecutive positive integers is 6n, where n is a positive integer.

The greatest common divisor of all the members of the set containing the numbers that are the product of four consecutive positive integers is 6n, where n is a positive integer.

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