a person walked x feet an then 1/4 that length again. two students wrote different equations to represent this relationship. y=x+ 1/4x and y=5/4 x explain why both are true

Answer:

Ok, "steeper than y = x^2" means that the function grows "faster" than y = x^2. and we can look at this by looking at the derivates, if the derivate is larger, then it is steeper.

The derivate of y = x^2 is: y´= 2x.

Now let's look at the other functions.

a) y = (1/2)*x^2

the derivate is:

y' = 2*(1/2)*x = x

this function is less steep than y = x^2

b) y = -x^2

the derivate is:

y' = -2x

So we have, in absolut value, exactly the same than for y = x^2.

The difference is that here the function decays instead of growing, so this is "less steep than y = x^2)

c) y = (2x)^2 = 4*x^2

the derivate is:

y´= 2*4*x = 8*x

this is steeper than y = x^2-

d) y = 2x^2

the derivate is:

y´= 2*2*x = 4x.

this is steeper than y = x^2

e) y = (x/2)^2 = (1/4)*x^2

the derivat is:

y' = (2/4)*x = (1/2)*x

so this is lees steep than y = x^2

Answer:you need to show the diagram in order for me to

Step-by-step explanation:

Answer:

  (b)  14

Step-by-step explanation:

You want the difference of functions f(x) = 3x² +1 and g(x) = 1 -x when x=2.

The notation (f -g)(x) means f(x) -g(x). Then (f -g)(2) is ...

  f(2) -g(2) = (3·2² +1) -(1 -2) = 13 -(-1) = 14

The value of (f -g)(2) is 14.

Answer:

0.02 × 100 = 2

Step-by-step explanation:

move the decimal 2 steps backward according to the numbers of zeros behind the multiplier(100).

0.02 × 100 = 2

please mark brainliest

The dataset represented by the given box plot is 12, 15, 15, 17, 19, 19, 20, 22, 24 option B.

A box plot, sometimes called a box whisker plot, shows the distribution of a dataset graphically. The minimum value, the first quartile (25th percentile), the median (50th percentile), the third quartile (75th percentile), and the maximum value are the five main values used to standardise this method of displaying the distribution of data.

Two whiskers that extend from a rectangular box make up a box plot. The range of values between the first and third quartiles is represented by the box, which is known as the interquartile range (IQR).

From the given box plot we observe that the minimum value is 12 and the maximum value is 24.

Here, the median is 19.

From the information the two data set that have the corresponding values are:

12, 15, 15, 17, 19, 19, 20, 22, 24

12, 15, 17, 17, 19, 19, 22, 22, 24

The lower quartile is 15.

The upper quartile is 21.

Calculating the lower quartile for the data sets:

12, 15, 15, 17, 19, 19, 20, 22, 24

Lower quartile = 15

Hence, the dataset represented by the given box plot is 12, 15, 15, 17, 19, 19, 20, 22, 24 option B.

Learn more about box plot here:

https://brainly.com/question/1523909

#SPJ1

Answer:

multiply all of them then add all of them then divide by the lowest number

12:1 is the scale factor

3.5 ÷ 3.5 = 1 and 142 ÷ 3.5 =123.5 so 42:123.5 ratio simplified is 12:1

Looking at the question, to find the scale factor we are going to divide 42 by 3.5 which is 12. To check our work we will do 1 times 3.5 which is 42.

Why is it not 147:1? Well, scale factoring means that in two similar geometric figures, the scale factor is the ratio of their corresponding sides, dividing the two corresponding lengths of the sides will gives the ratio

To check go to:

https://www.ginifab.com/feeds/cm_to_inch/scale_factor_calculator.html

—————

Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle

—————

Consider the continuous random variable x that has a uniform distribution over the interval from 40 to 44. The variance of 'x' is approximately C: 1.155.

The variance of a continuous uniform distribution over the interval [a, b] is determined by the formula given as follows:

Var(x) = (b-a)^2 / 12

For the given distribution, a = 40 and b = 44, so the variance is calculated by putting these values into the above formula:

Var(x) = (44 - 40)^2 / 12 = 1.155

Therefore, the variance of 'x' is approximately 1.155

You can learn more about variance at

https://brainly.com/question/28426562

#SPJ4

Answer: 2.82

Step-by-step explanation:

Answer:

47...

Step-by-step explanation:

the product of 4 and 8 is 32 and added 15 then it is 47.

Answer:

47

Step-by-step explanation:

4*8+15=32+15=47 (by BODMAS rule)

95 times 2 is 190.

90 times 2 is 180, and 5 times 2 is 10.

180 + 10 = 190.

The correct time(s) when you are at the same height as the top of the tower are approximately -1.57 hours, 1.57 hours, 4.71 hours, 7.85 hours, 11.00 hours, and so on.

To find the time or times during the ride on the London Eye when you are at the same height as the top of the Elizabeth Tower, we can solve the given equation for t.

320 = -197cos(π/15(t)) + 246

First, let's isolate the cosine term:

-197cos(π/15(t)) = 320 - 246

-197cos(π/15(t)) = 74

Next, divide both sides by -197:

cos(π/15(t)) = 74 / -197

Now, we can take the inverse cosine (arccos) of both sides to solve for t:

π/15(t) = arccos(74 / -197)

To isolate t, multiply both sides by 15/π:

t = (15/π) * arccos(74 / -197)

Using a calculator to evaluate the arccosine term and performing the calculation, we find the value(s) of t:

t ≈ -1.57, 1.57, 4.71, 7.85, 11.00, ...

These values represent the time(s) during the ride on the London Eye when you are at the same height as the top of the Elizabeth Tower. Note that time is typically measured in hours, so these values can be converted accordingly.

In light of this, the appropriate time(s) when you are at the same altitude as the tower's peak are roughly -1.57 hours, 1.57 hours, 4.71 hours, 7.85 hours, 11.00 hours, and so forth.

for such more question on height

https://brainly.com/question/23377525

#SPJ8

Answer:

Answer:

7,300 meters

Step-by-step explanation:

7.3×1000 = 7300

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(120^{2}\) + \(160^{2}\) = \(c^{2}\)

14400 + 25600 = \(c^{2}\)

40000 = \(c^{2}\)

\(\sqrt{40000}\) = \(\sqrt{c^{2} }\)

200 = c

Jesus love you.

The mean score of a random student (YY) is 574.5. the standard deviation of the random student's score (YY) is 8.

Given:

- Each correct question is worth 10 points.

- Every student receives an additional 555 bonus points.

Let's calculate the mean and standard deviation of YY:

Mean of YY:

The mean score, denoted as μY, can be calculated using the mean of XX (μX) and the scoring scheme:

μY = μX * 10 + 555

Substituting the value of μX from the given information:

μY = 1.95 * 10 + 555

μY = 19.5 + 555

μY = 574.5

Therefore, the mean score of a random student (YY) is 574.5.

Standard Deviation of YY:

The standard deviation of YY, denoted as σY, can be calculated using the standard deviation of XX (σX) and the scoring scheme:

σY = σX * 10

Substituting the value of σX from the given information:

σY = 0.8 * 10

σY = 8

Therefore, the standard deviation of the random student's score (YY) is 8.

Complete question: Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions

that a randomly chosen student answered correctly. Here is the probability distribution of X along with

summary statistics:

0

1

2

2.

3

X = # correct

P(X)

0.05

0.20

0.50

0.25

Mean: Hex = 1.95

Standard deviation: Ox 0.8

Mr. Gupta decides to score the tests by giving 10 points for each correct question. He also plans to give

every student 5 additional bonus points. Let Y represent a random student's score.

What are the mean and standard deviation of Y?

Learn more about standard deviation at https://brainly.com/question/475676

#SPJ1

Answer:

como pongo en español

Answer:

I can't graph the linear equation because I don't know what x is.

There needs to be and x and a y coordinate.

Answer:

i think it A i might be wrong

Step-by-step explanation:

The point (-4, 1) is in the top left or II quadrant.

Answer:

c

Step-by-step explanation:

12 times 1.5 times 3.8

Bond angle would be 109.5°

What are bond angles?

The three-dimensional configuration of the atoms that make up a molecule is known as molecular geometry. In addition to bond lengths, bond angles, torsional angles, and any other geometrical factors that govern each atom's position, it also includes the molecule's overall structure.

Based on the information provided, the element x is likely to be chlorine, which has four valence electrons and an electronegativity of 3.0. If this is the case, then the compound xocl2 is likely to be dichlorine monoxide, which is a diatomic molecule with the formula Cl2O.

The geometry of dichlorine monoxide is bent, with an angle of approximately 113 degrees between the two chlorine atoms and the oxygen atom. This is due to the fact that the oxygen atom is more electronegative than the chlorine atoms, which causes the shared electrons in the oxygen-chlorine bonds to be more attracted to the oxygen atom. This causes the bond angles to be slightly less than the ideal tetrahedral angle of 109.5 degrees.

 \(import\ graph; \\size(8cm);\\ real ticklen=3; \\pen axispen=black+1.3bp;\\ pen gridpen=gray(0.22);\\ pen tickpen=black+0.8bp;\\ pen ticklabelpen=black;\\ pen vectorpen=black; \\\)

\(xaxis(extend=true, Ticks("%", pTick=tickpen, pTickLabel=ticklabelpen, Label("$x$", position=EndPoint, p=vectorpen),extend=true,extend_length=-10),p=axispen, above=true); \\\\yaxis(extend=true, Ticks("%", pTick=tickpen, pTickLabel=ticklabelpen, Label("$y$", position=EndPoint, p=vectorpen),extend=true,extend_length=-10),p=axispen, above=true); \\draw((0,0)--(2,0)--(1,1.73)--cycle); \\label("Cl", (0,0), SW); label("O", (1,1.73), N); \\label("Cl", (2,0), SE);\)

The actual structure of the molecule may be slightly different due to the presence of electronic and vibrational energy.

To know more about bond angles visit,

https://brainly.com/question/25425872

#SPJ4

Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in

Answer:

first choice on the left.

Step-by-step explanation:

Comment

That is not the easiest graph I've seen to interpret. What it shows is that each cup of juice is 3/4 of a cup.

The graph says she has 4 cups that she can give out. She has 1/4 cup left over which is why it is marked.

Technically the answer is 4 cups with 1/4 cup left over, so the answer should be A.

However, I can still give you some general steps to solve a math problem in 200 words.

Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.

Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.

Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.

Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.

Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.

For such more question on constraints

https://brainly.com/question/29989358

#SPJ8

A triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). The translation direction is 2 units to the left. The number of units of the image of triangle JKL is 2 units to the left only.

Given that a triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). We have to determine the translation direction and the number of units of the image of triangle JKL. Let's first find the translation direction to determine the image of triangle JKL.

Seeing the position of J and J', we can determine that the translation was made in the left direction because J has moved from the point (-1,-5) to (-3,-5). Thus, the translation direction is 2 units to the left. Now, let's calculate the number of units of the image of triangle JKL.

Let's draw a rough sketch of the triangle JKL and locate its vertices J(-1,-5), K(-2,-2), and L(2,-4).To find the number of units of the image of triangle JKL, we need to find the horizontal and vertical distances between the vertices of the original triangle and its image.

We can use the horizontal distance between J and J′ as a reference to calculate the remaining distances. J has moved 2 units to the left, so the horizontal distance between J and J′ is 2. Now, let's calculate the vertical distance between J and J′. The coordinates of J and J′ are (-1,-5) and (-3,-5), respectively.

The difference between the y-coordinates of J and J′ is 0, which means that J and J′ are on the same horizontal line. Therefore, the vertical distance between J and J′ is 0. Hence, the image of the triangle JKL has moved 2 units to the left and 0 units vertically. Thus, the number of units of the image of triangle JKL is 2 units to the left only.

For more questions on the triangle

https://brainly.com/question/17335144

#SPJ8

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{x}\\ a=\stackrel{adjacent}{12}\\ o=\stackrel{opposite}{7} \end{cases} \\\\\\ x=\sqrt{ 12^2 + 7^2}\implies x=\sqrt{ 144 + 49 } \implies x=\sqrt{ 193 }\implies x\approx 13.9\)

Answer:

45

Step-by-step explanation:

Plug in the numbers with their variables.

6(5)+5(3)

30+15

45

Hope this helps

Answer:

7. y=1/4x

8. m= 2

Step-by-step explanation:

i hope this helps :)

3 per week + blank=8              Step-by-step explanation: brainly plz

Answer:

x=61

Step-by-step explanation:

Multiply both sides by 5

1.8 *5 =9

add both sides by 3.2

3.2+9=12.2

Divide both sides by .2

x=61