find the output y when the input x is -7 Y=

The curve defined by the parametric equations x = 5 cos(t) and y = 6 sin(t) cos(t) has two tangents at the point (0, 0). The equations of these tangents are y = 0 and x = 0.

To find the tangents at the point (0, 0) on the curve, we need to determine the slope of the curve at that point. The slope of the curve can be found by taking the derivative of y with respect to x using the chain rule:

dy/dx = (dy/dt) / (dx/dt)

Substituting the given parametric equations:

dy/dx = (d/dt)(6 sin(t) cos(t)) / (d/dt)(5 cos(t))

Simplifying, we have:

dy/dx = 6(\(cos^2\)(t) - \(sin^2\)(t)) / (-5 sin(t))

At (0, 0), t = 0. Substituting t = 0 into the equation above, we get:

dy/dx = 6(1 - 0) / (-5 * 0) = -∞

Since the slope is undefined (approaching negative infinity) at (0, 0), the curve has two vertical tangents at that point. The equations of these tangents are x = 0 and y = 0, representing the vertical lines passing through (0, 0).

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The upper class represents approximately 1-2% of the population. The upper class is composed primarily of CEOs, government officials, celebrities, and very successful professionals.

This class is the smallest among the five social classes, comprising only a tiny percentage of the population (1-2 percent).Individuals in the upper class are often referred to as the "social elite," as they are frequently born into money, live in luxurious estates, and are members of exclusive clubs. Upper-class individuals usually have excellent education and a variety of skills that have helped them accumulate wealth and power. Therefore, the upper class represents approximately 1-2% of the population.

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The  p-value of zero, while theoretically possible is effectively impossible, a p-value of .00000 is written as is

option A, "< .01".

It is important to first understand what a p-value represents. A p-value is a statistical measure that indicates the likelihood of obtaining the observed results of a study or experiment by chance, assuming that there is no true effect or difference between groups.

In hypothesis testing, a p-value of less than .05 (or .01, depending on the level of significance chosen) is typically considered to be statistically significant, indicating that the observed results are unlikely to be due to chance alone.

However, a p-value of exactly zero is not possible, as it would mean that the observed results are absolutely certain and could not have occurred by chance. Therefore, a p-value of .00000 (or any other extremely small value) is typically reported as "< .01" or something similar, indicating that the p-value is less than the chosen level of significance (in this case, .01).

Therefore, option A, "< .01", is the most accurate way to represent a p-value of .00000. The other options are either not precise enough (B and D), or incorrect (C and F).

A p-value of exactly zero is impossible, and a p-value of .00000 (or any other extremely small value) is typically reported as "< .01" to indicate that it is less than the chosen level of significance.

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In order to simplify the expression 4(3x + y) + 2(x - 5y) + x² we just have to get rid of the parenthesis by distributing the products and then combine like terms, like this:

1. Get rid of the parenthesis

4(3x + y) + 2(x - 5y) + x² = 4×3x + 4×y + 2×x - 2×5y + x²

4×3x + 4×y + 2×x - 2×5y + x² = 12x + 4y + 2x - 10y + x²

2. Combine like terms

12x + 4y + 2x - 10y + x² = 14x - 6y + x² = x² + 14x - 6y

By simplifying the expression 4(3x + y) + 2(x - 5y) + x², we get x² + 14x - 6y, then the first option is the correct answer.

Answer:

Ana has 36 different options.

Step-by-step explanation:

If Ana can choose from 4 different types of lettuce and 9 different dressings, the total number of options she has is the product of the number of options for each choice.

Therefore, Ana has 4 x 9 = 36 different options.

Answer:

Ana would have 36 options.

Step-by-step explanation:

You have to do 4x9 which would equal 36. I hope this helped. Brainliest please?

Answer:

Unit rate= 20

words per minute/ 0.3

words per second

Step-by-step explanation:

We could work out the unit rate in 2 ways:

Per Minute or Per second.

First we will start of with per minute:

Rate=Word/minute=100/5=20

Answer:

100 words to 5 minutes

Step-by-step explanation:

Answer:

B: correct option is  –3 ≤ x < 1.

Step-by-step explanation:

x ≤ 3 or x ≥ -1 represent the given graph.

Mathematical formulas with inequalities are those in which neither side is equal. We compare two values via inequality rather than equations.

We have,

A line is drawn and a certain range of values are marked on the line,

We identify the solution set for each option by considering it separately.

1) -4 ≤ x ≤ 4

Since, the solution set contain only numbers between -4 and 4.

So it is false.

2) -2 ≤ x ≤ -1

This is a incorrect representation.

3) x ≤ -1 or x ≥ 0

This represents all real numbers, excluding numbers between -1 and 0

So it is false.

4) x ≤ 3 or x ≥ -1

So it represents all the real numbers on number lines.

So, it is true.

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Answer:

19.5

Step-by-step explanation:

2 x 19.5 = 39 - 29 = 10 :D

Answer:

it is a

Step-by-step explanation:

The coordinates of the triangle ΔC'D'E' will be (2, 1), (5, -3), and (2, -1). Then the correct option is C.

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The triangle ΔCDE is shown below.

The triangle ΔC'D'E' after a rotation 270° counterclockwise about the origin.

The triangle ΔCDE and ΔC'D'E' are shown on the graph.

The coordinates of the triangle ΔC'D'E' will be (2, 1), (5, -3), and (2, -1). Then the correct option is C.

The transformation of the triangle is given below.

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The probability that she selects the route of three specific capitals is 97290/1.

The probability that she selects the route of three specific capitals can be calculated by taking the total number of possible routes and dividing it by the total number of routes that involve the three specific capitals. To calculate the total number of possible routes, multiply the number of states (47) by the number of routes that could be selected from each state (2). This gives 94 total possible routes.

47 x 46 x 45 ways = 97290 ways

= 1/97290

Now, calculate the number of routes that involve the three specific capitals. Since the president is selecting three states, the total number of routes will be 3. Therefore, the probability that she selects the route of three specific capitals is 3/94, which can be simplified to 97290/1.

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Answer:

ok-

30 peices divided by 6 gives you 5 photographs.

2/3 of 30 is 20 paintings.

so, 20 paintings minus 5 photographs means 15 more paintings than photos.

Answer:

8

Step-by-step explanation:

a*b=72

a=9

9*b=72

b=72/9

b=8

Answer:

third one is the correct answer

Answer: Angle A and B would need to be congruent to angle D and E. and any side like AB or side BC would need to be congruent to side DE or EF

Answer:

show the picture

Step-by-step explanation:

6 - 3x = 5x - 10x + 6

combine like terms

6 - 3x = -5x + 6

subtract 6 from both sides

-3x = -5x

x = 0

Step-by-step explanation:

6-6 = 5x - 10x +3x

0= - 2x

Divide both sides by -2

X = 0/-2x

I think that is the answer

To find the tip amount, we need to calculate 18% of the total bill:

Tip amount = 18/100 * 35.35

Tip amount = 6.363

Rounding to the nearest penny, the tip amount is $6.36.

To find the total bill, we need to add the tip amount to the original bill:

Total bill = 35.35 + 6.36

Total bill = 41.71

Rounding to the nearest penny, the total bill is $41.71.

Answer:

so u will pay 3.82 and u will save 15.26 dollars

Step-by-step explanation:

Answer:

14.40$

Step-by-step explanation:

Answer:

Inequality

Step-by-step explanation:

Inequality is show a comparison between the two quantities which are unequal.

It can be represented:

≤  ⇒  less than or equal to

< ⇒ less than

≠ ⇒ not equal to

> ⇒ greater than

≥ greater than or equal to

Kavinsky

Answer:

9

Step-by-step explanation:

similar triangles.

that means there is one common factor to transform the lengths of all lines from one triangle to the other.

it looks to me DF is the longest side in DEF, and that would make it associated to BC of ABC.

so, the factor is then

BC = DF×f

24 = 12×f

=> f = 2

so, EF then is associated to AC.

AC = EF × f

18 = EF × 2

EF = 18/2 = 9

Answer:

X Intercept (-2,0), (-3,0) and Standard form y = -4x^2 - 20x - 24

Step-by-step explanation:

To write a polynomial in standard form, simplify, and then arrange the terms in descending order.

y = ax^2 + bx + c

y = (−4x−8) (x+3)

Expand (−4x−8) (x+3) using the FOIL Method

y = −4x ⋅ x − 4x ⋅ 3 − 8x−8 ⋅ 3

Simplify and combine like terms.

y = −4x^2 − 20x − 24

Hope this can help

Answer:

  10

Step-by-step explanation:

You want the bottleneck time in an assembly line with station times of 1, 5, 7, 4, and 10.

The rate-limiting station is the one where processing takes the longest time. In this assembly line, that is Station 5, with a time of 10.

__

Additional comment

Ideally, kits would be released to production only at the rate that station 5 can process them. If station 5 is not first in the sequence of processes, there should be a control mechanism that rate-limits input to the first station.

In this assembly line, product released faster than 1 per 7 time units will pile up in front of station 3, and again in front of station 5.

Quality controls should be in place to make sure that station 5 only has good input, and always produces good output. As the rate-limit in the process, its time cannot be wasted on bad product.

The information provided does not directly specify how the mean of 0.3182 was obtained. The mean is typically calculated based on the data or information provided in the context of the problem.

However, in this case, it seems that there may be a confusion or error in the given information.

The probability mentioned, 0.3182, represents the probability that the vehicle speed is within +3mph from the mean. It does not represent the mean itself. The mean is a measure of central tendency that represents the average value of a set of data. It is not derived from a probability.

To determine the mean of a set of data or the average vehicle speed, we would need more information such as a data set or specific values of vehicle speeds. Without additional information, it is not possible to calculate the mean of 0.3182.

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Step-by-step explanation:

use this formula to find slope

y2 - y1 / x2- x1

(-2,7)= (x1,y1)

(0,1)= (x2,y2)

The Area of Trapezium is 50, 267 mm².

We have,

base 1 = 224 mm

base 2 = 77 mm

Height = 334 mm

Now, Area of Trapezium

= 1/2 (Sum of parallel side) x height

= 1/2 (224 + 77) x 334

= 1/2 x 301 x 334

= 50, 267 mm²

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Answer:

2303/10000

Step-by-step explanation:

if not try 0.2303

Answer:

Step-by-step explanation:

$32 per day right and 3 days so what you do is multiply $32 by 3, which is $96.

So far thats $96.

Then 0.69 per mile and 289. That means you do 289*$0.69, which is $199.41

Add those together and thats 295.41 which is the 1st answer.

Hope that helps!!

P.S. maybe brainliest?? no pressure

Option 1 and 2 are the set that includes rational numbers but not natural numbers.

What are Natural numbers?

In arithmetic, the natural numbers are those numbers used for reckoning and ordering. Numbers used for counting are referred to as cardinal numbers, and numbers used for ordering square measure referred to as ordinal numbers.

Main body:

Given are the set of numbers,

Here, the sets (-6, -2, 5/11, 7/8) and (-5, -4, 4, 5) that includes rational numbers but not natural numbers.

Hence, Option 1 and 2 are the set that includes rational numbers but not natural numbers.

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Answer:

A-J=4

B-G=50

C-F=2

D-I=32

E-H=8

Answer:

Step-by-step explanation:

The bumblebee flutters its wings more times in 1 minute, as it flutters its wings 7,800 times in one minute, whereas the hummingbird flaps its wings 80 times in one second, which translates to 4,800 times in one minute.

To understand this calculation in more detail, we can use unit conversions and multiplication. Since the hummingbird's wing flaps are given in seconds and the bumblebee's wing flutters are given in minutes,

we convert the hummingbird's wing flaps from seconds to minutes by multiplying by 60. We then compare the total number of wing flaps for each animal and find that the bumblebee flutters its wings more times in one minute than the hummingbird flaps its wings.

This is due to the bumblebee's higher frequency of wing movement, which enables it to achieve more wing flutters in a given amount of time.

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