find the equation of the normal to the curve y=x^2-2x^2-4x+1 at thepoint (-1,2)​

Answer:

Se pueden hacer 5040 permutaciones con la palabra COLUMNA.

Explanation:

La palabara COLUMNA posee 7 letras, por lo que debemos hacer permutación sin repetición.

La formula es:

P_^{n}: n!

Donde n son todos los elementos.

Answer:

11

a

+

5

Step-by-step explanation: you're welcome. Brainlyest?

Answer:

83

Step-by-step explanation:

\( \frac{ - 332}{ - 4} = 83\)

Answer:

2 2/5

Step-by-step explanation:

Answer:

-0.33333333333 in other word it o.3 with line over 3

Step-by-step explanation:

Answer:189.75

Step-by-step explanation:

The lateral area of the cone for the height of 11 cm and diameter 10 cm is given by option D. 189.75 cm²

To calculate the lateral area of a cone,  find the curved surface area.

The lateral area of a cone can be calculated using the formula:

Lateral Area = π × r × l

where:

π is the mathematical constant pi (approximately 3.14159)

r is the radius of the base of the cone

l is the slant height of the cone

Height (h) = 11 cm

Diameter (d) = 10 cm

First, we need to find the radius (r) and the slant height (l).

The radius (r) is half of the diameter:

r

= d / 2

= 10 cm / 2

= 5 cm

The slant height (l) can be found using the Pythagorean theorem:

l² = r² + h²

l² = 5² + 11²

l² = 25 + 121

l² = 146

l = √146

 ≈ 12.083 cm

Now, calculate the lateral area:

Lateral Area = π × r × l

Lateral Area = 3.14159 × 5 cm × 12.083 cm

Lateral Area ≈ 189.75 cm²

Therefore, the lateral area of the cone is approximately 189.75 cm². The correct answer is C) 189.75 cm²

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9514 1404 393

Answer:

  the correct choice is marked

Step-by-step explanation:

The process for completing the square would generally put x-terms on one side of the equal sign and the constant term on the other side:

  x^2 +4x = 3

Then the square of half the x-coefficient would be added to both sides. Here, that is (4/2)^2 = 4.

  x^2 +4x +4 = 7

In order to make this match one of the answer choices, we must multiply both sides by 4.

  4x^2 +16x +16 = 28

Now, we can factor the left side to see a match to the last answer choice.

  (2x +4)^2 = 28

_____

Additional comment

As you can see, we had to deviate from the "complete the square" process to arrive at an equation that matches an answer choice. It cannot be said that the chosen equation "is used in the process." It might be useful to discuss this question with your teacher.

Yue should walk on a bearing of angle 110° to reach the lake.

The angle between the line connecting Yue to the lake and the line connecting Jun to the lake is 180° - 70° = 110°, we know that θ + 110° = 180°, or θ = 70°.

Using trigonometry, we can set up the following equation:

tan(70°) = d/8

Solving for d, we get:

d = 8 tan(70°) = 22.4 km

Therefore, Yue must walk about 22.4 km to reach the lake.

To find the bearing she should walk on, we can use the fact that she is walking directly towards Jun's starting point.

Since Jun's starting point is due north of the lake, Yue must walk on a bearing of 180° - 70° = 110°

Therefore, Yue should walk on a bearing of 110° to reach the lake.

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For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Solving for y.

0. Subtracting 2 from both sides of the equation.

2. Multiplying the parenthesis:

Based on the form:

we can get the slope (m) and the y-intercept (b), which in our case is 2/3 and -8, respectively. Finally, to get the x-intercept, we have to make y = 0:

Isolating for x:

Answer:

• Slope: 2/3

• x-intercept: (12, 0)

• y-intercept: (0, -8)

Answer:

2,4 is the wi5h ofe ithink

Step-by-step explanation:

I would assume the answer would be a. 18 assuming your trying to find the entire value of a triangle but have a missing value

The total surface area of the doghouse is 1452 ft²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The dog house has many surfaces including the roofs . The total surface area is the sum of all the area of the surfaces.

area of the roof part = 2( 13×11) + 2( 12× 10)×1/2

= 286 + 720

= 1006 ft²

surface area of the building

= 2( lb + lh + bh) -bh

= 2( 10× 11 + 10×8 + 11×8) - 10×11

= 2( 110+80+88)-110

= 2( 278) -110

= 556 -110

= 446ft²

The total surface area = 1006 + 446

= 1452 ft²

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Answer:

2) \(x - y = \frac{2}{3} \)

\( = > x = \frac{2}{3} + y = \frac{2 + 3y}{3} \)

3) \(3x + 2y = 6\)

\( = > 3x = 6 - 2y \)

\( = > x = \frac{6 - 2y}{3} \)

4) \( \frac{1}{4} x + y = 2\)

\( = > y = 2 - \frac{x}{4} = \frac{8 - x}{4} \)

5) \(4x - 3y = - 33\)

\( = > 3y = 4x + 33\)

\( = > y = \frac{4x + 33}{3} \)

Answer:

12

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the graph of the function is a parabola

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Lewis :

y = 17x

x = number of hours worked

y = amount of money earned

Carl:

Carl’s Earnings Time (h) 3 5 8 10

Money earned ($) 45 75 120 150

(a) How much money does Carl earn per hour? Show your work on how you found the constant of proportionality for both.

Money earned = pay per hour * hours worked

$45 = pay per hour * 3

Pay per hour = $45 / 3 = $15

Hence, Carl's earning per hour = $15

(b) Who earns more per hour? Justify your answer by comparing the two. Please use complete sentences.

Lewis : y = 17x

Carl : y = 15x

Where $17 and $15, represents Lewis and Carl's hourly pay respectively.

Hence, Carl earns more.

(c) Draw a graph that represents Carl’s earnings over time in hours. Remember to label the axes with the real world quantities that x

Answer:

\(5 \sqrt{2} \)

Step-by-step explanation:

\( \sqrt{5} \times \sqrt{10} \\ = \sqrt{5} \times \sqrt[]{5} \times \sqrt{2} \\ = 5\sqrt{2} \)

The graph of g(x) is obtained from the graph of f(x) by the following transformations:

- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).

- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).

In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.

Here is a more detailed explanation of the transformations:

- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).

- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).

The nominal rate per annum compounded half-yearly, equivalent to an effective rate of 14.5% per annum, is approximately 14.900625%.

To convert an effective rate to a nominal rate compounded half-yearly, we can use the formula:

Nominal rate \(= (1 + r/m)^m - 1\)

Where:

r = effective rate

m = number of compounding periods per year

In this case, the effective rate is 14.5% per annum, and we want to convert it to a nominal rate compounded half-yearly.

Since compounding is done semi-annually, m would be 2.

Plugging in the values:

Nominal rate \(= (1 + 0.145/2)^2 - 1\)  

Simplifying the expression inside the parentheses:

Nominal rate \(= (1 + 0.0725)^2 - 1\)

Calculating the exponent:

Nominal rate \(= (1.0725)^2-1\)

Performing the calculations:

Nominal rate = 1.14900625 - 1

Nominal rate = 0.14900625

Converting the nominal rate to a percentage:

Nominal rate = 14.900625%

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Answer:

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications.

This means that \(\pi = 0.89, n = 60\)

90% confidence level

So \(\alpha = 0.1\), z is the value of Z that has a pvalue of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 - 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.8236\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 + 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.9564\)

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.

Answer:

Answer:

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the zscore that has a pvalue of .

He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications.

This means that

90% confidence level

So , z is the value of Z that has a pvalue of , so .

The lower limit of this interval is:

The upper limit of this interval is:

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564

Step-by-step explanation:

Answer:

each friend gets 200 books

Step-by-step explanation:

1,000÷5=200

The variables that the scatter plot at the right would  be most likely to represent is option C: The number of siblings a person has and the person's GPA.

To illustrate how much one variable affects another, scatter plots are tools that are often used to place data points on a horizontal as well as  vertical axis.

A marker is used to represent each row in the data table, and the position of the marker depends on the values of the columns that are set up on the X and Y axes.

From the graph above, the Independent variables (siblings) are typically plotted on the horizontal axis, and dependent variables (Person's GPA) are typically plotted on the vertical axis.

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Answer:

Jesse eats lunch at 11:45 a.m.

Answer:

\( y = 15x + 20 \)

x = 11, when y = 185

Step-by-step explanation:

Given:

(0, 20);

(2, 50)

Required:

Equation of the line;

Value of x, when y = 185

SOLUTION:

Equation of the line can be written using the slope-intercept formula, given as, \( y = mx + b \).

m = slope = \( \frac{y_2 - y_1}{x_2 - x_1} =\frac{50 - 20}{2 - 0} = \frac{30}{2} = 15 \)

b = y-intercept = the pointt at which the line cuts the y-axis = 20

Plug in the value into the formula to get the equation:

\( y = mx + b \)

\( y = 15x + 20 \)

Use this equation to solve for x, when y = 185

\( y = 15x + 20 \)

\( 185 = 15x + 20 \) (substitution)

\( 185 - 20 = 15x + 20 - 20 \)

\( 165 = 15x \)

\( \frac{165}{15} = \frac{15x}{15} \)

\( 11 = x \)

x = 11, when y = 185

The average is 40 and  the margin of error is 10.95.

What is margin of error?

The margin of error is a statistic expressing the amount of random sampling in the result of a survey.

Average (A) = sum of all the value/ given set.

A = (51+ 41 + 28)/3 = 40

margin of error = 100/square root of 120 = 10.95.

Therefore, the average is 40 and  the margin of error is 10.95.

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Answer: 1 time

255 times 1 is 255. 255 plus 255 is 505. So only goes into 375 once.

Answer:

i need help what is the answer

Step-by-step explanation: