Please help please please please

Answer:

Step-by-step explanation:

The vertex form is:

Correct choice is D

Answer:

\(\textsf{d)} \quad 1=a(-3-2)^2+5\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}\)

Given information:

Therefore:

To find the constant "a", substitute found values into the vertex formula:

\(\implies 1=a(-3-2)^2+5\)

Additional information

Solve the equation for a:

\(\implies 1=a(-5)^2+5\)

\(\implies 1=25a+5\)

\(\implies -4=25a\)

\(\implies a=-\dfrac{4}{25}\)

Therefore, the equation of the parabola in vertex form is:

\(y=-\dfrac{4}{25}\left(x-2\right)^2+5\)

The area of the larger figure that is similar to the smaller one is: 28.2 m².

Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:

Area of figure A / Area of figure B = a²/b².

Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:

Perimeter of smaller figure = 20 m

Area of smaller figure = 19.6 m²

Perimeter of larger figure = 34m

Area of larger figure = x

Therefore:

20/34 = a/b

Simplify:

10/17 = a/b.

Find the area (x) of the larger figure using the formula given above:

10²/12² = 19.6/x

100/144 = 19.6/x

100x = 2,822.4

x = 2,822.4/100

x ≈ 28.2 m²

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The correct answer is as follows: a) The data set that has the greatest sample standard deviation is Data set (ii).

b) Data set (ii) has the largest mean and mode, but the smallest median and the largest standard deviation.

(a) The data set that has the greatest sample standard deviation is Data set (ii).

The sample standard deviation is a measure of the amount of variation or dispersion of a set of data values.

In this case, Data set (ii) has more entries that are farther away from the mean, which results in a larger standard deviation.

(b) The data sets are the same in terms of containing the same numbers (11, 12, 13, 14, 15, 16, and 17).

However, they differ in terms of the order in which these numbers are arranged.

In addition, they differ in terms of the mean, median, mode, and standard deviation.

For example, Data set (ii) has the largest mean and mode, but the smallest median and the largest standard deviation.

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Answer:

Range: the difference between the highest and lowest values.

Step-by-step explanation:

Range is the difference of highest value and lowest value.

What is range of a function ?

Range of a function can be defined as the all possible values that x could be .

The definition of a range as follows

Range can be defined as the difference of highest value and lowest value.

Example :

Let the data be 1,55,1,70,8,8,55

So from the given data  ,

The highest term = 70

lowest = 1

Range could be = 70 - 1

= 69

Therefore, Range is the difference of highest value and lowest value.

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The value closest to the correlation for the given scatterplot would be C.) -0.75.

In a scatterplot, the correlation coefficient measures the strength and direction of the linear relationship between two variables. A value of -0.75 indicates a strong negative correlation. Since the data points fit loosely around a line that slopes down to the right, it suggests a negative correlation. The closer the correlation coefficient is to -1, the stronger the negative correlation. Option C.) -0.75 is the value closest to -1 and represents a stronger negative correlation compared to the other options.

To determine the precise correlation coefficient, statistical calculations or software can be used. These calculations involve measuring the covariance and standard deviations of the variables. However, based on the given description, it is apparent that the data points exhibit a loose fit around a downward-sloping line, indicating a strong negative correlation.

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The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:

3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Option A

Step-by-step explanation:

The value of the standard error of the mean is 1.256.

We have given that,

Some stores print multiple coupons and advertisements on their receipts, making the receipts unusually long.

A curious shopper makes the same purchase at a random sample of 10 stores and measures the length of each receipt (in inches).

Here are the results,

8.25, 7.5, 5, 9.5, 12, 5.5, 9, 14, 11.5, 18.

The standard error of the mean, or simply standard error, indicates how different the population means is likely to be from a sample mean. It tells you how much the sample means would vary if you were to repeat a study using new samples from within a single population.

Therefore, The value of the standard error of the mean is 1.256.

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A n s w e r:

v^2(5-9v^4)

Answer:

SAS show these triangles are congurent

Let's say for example you wanted to graph the linear equation \(y = 2x+5\)

At minimum, we'll need 2 points to form this line.

To get any point of the form (x,y), we plug in a number for x to find a corresponding number for y.

For example, replace x with 0 to find that...

\(y = 2x+5\\\\y = 2(0)+5\\\\y = 0+5\\\\y = 5\\\\\)

Therefore, x = 0 leads to y = 5. So the point (0,5) is on the line.

Then we repeat this process for other x values. Let's try x = 1

\(y = 2x+5\\\\y = 2(1)+5\\\\y = 2+5\\\\y = 7\\\\\)

Telling us that (1,7) is also on this line. We have enough to graph this equation. Plot the two points (0,5) and (1,7). Then draw a straight line through them. Extend this line as far as you can to the left and right. The graph is shown below.

We can keep going to get other points like (2,9) and (3,11) and (4,13) and so on. A table is a way to keep track of the xy values.

\(\begin{array}{|c|c|}\cline{1-2}\text{x} & \text{y}\\ \cline{1-2}0 & 5\\ \cline{1-2}1 & 7\\ \cline{1-2}2 & 9\\ \cline{1-2}3 & 11\\ \cline{1-2}4 & 13\\ \cline{1-2}\end{array}\)

Each time x goes up by 1, y goes up by 2. This directly ties to the slope of 2/1 = 2.

The graph of g is Transformation up 7 units.

what is Transformation?

A graph transformation is a method for altering an existing graph or graphed equation to create a different version of the graph that follows. The modification of algebraic equations is a typical form of algebraic issue.

solution:

From the question, we have the following parameters that can be used in our computation:

g(x) = f(x) + k

Also, we have the value of k to be

k = 7

From the question, we can interpret g(x) = f(x) + k as f(x) is shifted up by k units

This means that

g(x) = f(x) + k

So, we have

g(x) = f(x) + 7

Hence, the transformation is (a) translated up 7 units

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Part A: Sydney made $21.50 at her yard sale by selling lemonade by the cup. She earned a $8 gratuity from a neighbor after selling each cup for $0.50. Here is an equation to illustrate: 0.5x + 8 = 21.50

Part B: Daria sold lemonade and earned $21.00. She earned a $7 gratuity from a neighbor for selling her lemonade for $1 per cup, but she also had to pay $0.20 for each plastic cup she used. A suitable equation is: 1.0y + 7 - 0.2y = 21.00

Part A:

Let x be the number of cups of lemonade Sydney sold.

Then the amount of money she made by selling cups of lemonade is given by:

0.5x + 8

And we know that she made $21.50 in total, so we can write:

0.5x + 8 = 21.50

The equation that captures the scenario is as follows.

Part B:

Let y be the number of cups of lemonade Daria sold.

Then the amount of money she made by selling cups of lemonade is given by:

1.0y + 7

But she also had to buy plastic cups for $0.20 each, so her expenses are given by:

0.2y

Therefore, her profit is:

1.0y + 7 - 0.2y

And we know that her profit was $21.00, so we can write:

1.0y + 7 - 0.2y = 21.00

Simplifying this equation, we get:

0.8y + 7 = 21.00

This is the equation that represents the situation.

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Roxanne claims that all linear equations represent proportional relationships. So, this statement "Yes, because all linear equations have graphs that are straight lines." makes him correct.

When there is a proportionate relationship between two variables, the other variable changes at a consistent pace regardless of how the first variable changes, grows or shrinks. A constant ratio between the two variables can be thought of as the constant rate.

Equations, graphs, and tables that use proportions can be used to show proportional relationships. A broad structure is followed by the proportional relationship equation, which will be taught in this session. Straight lines are used to illustrate the graphs. The tables are sets of numbers that are always paired in the same ratio.

Hence the correct option is A

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Answer:

-121 7/24

Step-by-step explanation:

Answer:

1: P = -3

2: X = -60

3: N = 5

Step-by-step explanation:

Ok, for number one you are going to add 4 on the -4 canceling that out, and adding 4 on the -7 making that -3.

Number 2 you times 10 on the x/10 to cancel out the 10 (making it x) then you do -6 times 10, and then you get -60

Last one is a little tricky here's the equations I used to get the last one

-3 x 8n = -24x

New equation: 4-24x=-104

                        +4         +  4

___________________________

                        -24x = -100

                         ___     ___

                         -24      -24

                                                   _

so the answer would be x = 5

Answer:

A is the answer.

Step-by-step explanation:

The lower line has slope 2 and passes through (0, 0). The clear circle indicates that the point where x = 1 is not included.

So, if x < 1 the function is  2x.

if x >= 1 the line is 1/2x + 5/2.

The theme of each epic poem is sublime, elegant, and has universal significance. It may not be an insignificant theme, which is only limited to the personality or the locality of the poet. It deals with the entire humanity.

Epic poem

An epic poem, or simply an epic, is a lengthy narrative poem typically about the extraordinary deeds of extraordinary characters who, in dealings with gods or other superhuman forces, gave shape to the verse mortal universe their descendants.

'epic' could refer to all poetry in dactylic hexameter , which included not only Homer but also the wisdom poetry of Hesiod, the utterances of the Delphic oracle.

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The total volume of Mountain Dew in this six-pack is approximately 212.058 cubic inches.

Assuming that each can in the six-pack of Mountain Dew is cylindrical in shape, we can use the formula for the volume of a cylinder to calculate the volume of each can, and then multiply that by the total number of cans in the pack.

The formula for the volume of a cylinder will be;

V = πr²h

where V is volume, r is radius (half the diameter), and h is height.

The radius of each can is 1.5 inches (half of 3 inches), and the height is 5 inches. So the volume of each can is;

V = π(1.5)²(5) = 35.343 cubic inches

To find the total volume of the six-pack, we need to multiply this by the number of cans;

Total volume = 35.343 cubic inches/can × 6 cans

= 212.058 cubic inches

Therefore, the total volume is  212.058 cubic inches.

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The number of students in the school given the number of people that attended the dance is 128.

Percentage is the fraction of an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is %.

Number of students = number of students at the dance / percentage that attended the dance

32 / 25%

32 / 0.25 = 128

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There is a 30.85% chance that someone will have to wait longer than 6 minutes.

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

z = (raw score - mean) / standard deviation

So,

We can write,

Mean of 6 minutes and variance = 1 minutes, hence:

Standard deviation = √variance = √1 = 1 minutes

For > 6 minutes:

z = (6 - 5)/2 = 1/2=0.5

P(z > 0.5) = 1 - P(z < 0.5)

P(z > 0.5) = 1 - 0.6915

P(z > 0.5) = 0.3085

Therefore,

There is a 30.85% chance that someone will have to wait longer than 6 minutes.

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Answer:

30m

Step-by-step explanation:

Since we are not told what to look for, we can find the maximum height reached by the rocket

Given the rocket's flight approximately modeled by the equation

h(t) = - 12t ^ 2 + 36t + 3

At maximum height dh/dt = 0

dh/dt =  --24t + 36

0 = -24t + 36

24t = 36

t= 36/24

t = 1.5s

Get the max height

h(1.5) =  - 12 (1.5)^ 2 + 36(1.5) + 3

h(1.5) = - 12(2.25) + 54 + 3  

h(1.5) = -27 + 57

h(1.5) = 30m

Hence the maximum height reached by the rocket is 30m

Answer

36 hope this helps

Answer:

36°

Step-by-step explanation:

u have the explination for the last one, so im just gonna give u the answer k?

btw that weird little upside down t means parrallell

30dB are produced by an audio source of 1000 times the value of constant .

Given,

d = 10 log(1/K) where K is a constant and the sound intensity is 1000 times the value of K.

So, we can write I = 1000K

Substituting this value in the equation for d, we get:

d = 10 log(1000k/K)

d = 10 (log 1000)

d = 10 (log 10³)

d = 30 log (10)

∴ \(log_{10} 10 = 1\)

Therefore,

d = 30

So, an audio source whose sound intensity is 1000 times the value of K produces 30 decibels of sound.

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By reviewing your class notes.

Sure hope this helps!

Answer:

Step-by-step explanation:

Learn the material with examples, and do lots of problems. The more problems you solve, the more familiar you become with the problems and the faster and better you will answer the questions.

Answer:

Học sinh nam là 21 học sinh, số học sinh nữ là 15 học sinhH

Step-by-step explanation:

Tỉ số giữa nam và nữ là x/y = 7/5 => x/7 = y/5

áp dụng tính chất của dãy tỉ số bằng nhau, ta được:  

x/7 = y/5 => x-y =/7-5 = 6/2 = 3

Vì x/7 = 3 => x = 21

y/5 = 3 => y= 15

Vậy số học sinh nam là 21 học sinh, số học sinh nữ là 15 học sinh

Answer:

Family 2: A married couple with two children who are in school. Both adults are working 40 hours per week with one making $16 per hour while the other makes minimum wage. One of these workers pays $25 per month in union dues.

Step-by-step explanation:

The derivative of the trigonometric function g(x) = 3tan(2x) is g'(x) = \(6sec^2(2x).\)

The derivative of g(x) is g'(x) = \(6sec^2(2x).\)

To find the derivative of g(x) = 3tan(2x), we can use the chain rule. Let's break down the function into its components. We have the outer function f(x) = 3tan(x) and the inner function h(x) = 2x.

Using the chain rule, we start by finding the derivative of the outer function with respect to the inner function: df/dh = \(3sec^2(h).\)

Next, we find the derivative of the inner function with respect to x: dh/dx = 2.

Multiplying these derivatives together, we get the derivative of the composition of functions: d(g)/dx = (df/dh) * (dh/dx) = \(3sec^2(h) * 2 = 6sec^2(2x).\)

Therefore, the derivative of g(x) = 3tan(2x) is g'(x) = \(6sec^2(2x)\). This derivative represents the rate of change of the function g(x) with respect to x at any given point.

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The term for the value that occurs most often in a series of numbers is called the mode.

The mode is one of the three main measures of central tendency, along with the mean and the median. It is a useful descriptive statistic that can provide insights into the characteristics of a dataset.

To find the mode of a set of data, you first need to arrange the data in order, either in increasing or decreasing order. Then, you simply identify the most frequent data point, which is the mode. In some cases, there may be more than one mode if multiple data points occur with the same maximum frequency.

The mode is particularly useful when dealing with categorical or nominal data, where there are distinct categories or values that cannot be ordered in a meaningful way. For example, the mode can help identify the most popular color among a group of people or the most common type of car on a given street. It can also be used for continuous data, although it may be less useful in this case than the mean or median.

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Answer:

(a) False

(b) False

(c) True

Step-by-step explanation:

(a) If we had measured the heights of the men and women in centimeters (1 inch= 2.54 cm), the correlation coefficient would have been 2.54 times larger.

No, since changing the units of measurement does not change the correlation coefficient

(b) There is a strong negative association between the heights of men and women because women are always smaller than the men they date.

Negative association means that as one variable increases, the other decreases, Here, we see that as the heights of the men increase, the height of the women do not reliably decrease, hence there is no strong negative asscoiation

(c) There is a positive association between the heights of men and women.

We see from the values given that as the heights of men increase, so do the heights of women and vise versa, so there is a positive association between the heights of men and women