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OverLord2011 [107]
3 years ago
8

Find

Mathematics
1 answer:
Westkost [7]3 years ago
8 0

Answer:

dy/dx = -b/a cot α

Step-by-step explanation:

x² / a² + y² / b² = 1

Take derivative with respect to x.

2x / a² + 2y / b² dy/dx = 0

2y / b² dy/dx = -2x / a²

dy/dx = -b²x / (a²y)

Substitute:

dy/dx = -b²a cos α / (a²b sin α)

dy/dx = -b cos α / (a sin α)

dy/dx = -b/a cot α

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Samantha wants to know whether the food she serves in her restaurant is within a safe range of
nikitadnepr [17]

Answer: The population would be the data of temperatures of all food served by the restaurant.

Step-by-step explanation:

In a statistical study, the term population refers to the largest group of all individuals related to the study or the objective of the study.

Here, the objective of the study= To check the temperatures of food just before serving.

Population = Data of temperatures of all dishes served by restaurant.

Hence, the population would be the data of temperatures of all dishes served by the restaurant.

5 0
3 years ago
2 gal 1 qt - 2 qt 1 pt
jekas [21]
Make all of the units equal. 
1 gal = 4 quarts = 8 pints
1 quart = 2 pints

18 pt - 5 pt

13 pints or
 
1 gal 2 qt 1 pt

7 0
3 years ago
Read 2 more answers
A study was conducted to investigate the relationship between the resale price, y (in hundreds of dollars), and the age, x (in y
GaryK [48]

Answer:

a. $121.07

b. $60.9

C. $20.03

Step-by-step explanation:

From the equation given

Y=181.7-20.21x

Where y is in dollars and X is in years

a. To find the resale price after 3years we have, we substitute x=3 into the given equation.

We have

y=181.7-20.21(3)

y=181.7-60.63

y=121.07

The resale price after 3years is $121.07

b. To find the resale price after 6years we have, we substitute x=6 into the given equation.

We have

y=181.7-20.21(6)

y=181.7-120.72

y=60.98

The resale price after 3years is $60.98

C. To find the average decrease per year, we have

[(x=3)-(x=6)]/3

=(121.07-60.98)/3

$20.03

Hence the average annual decrease is $20.03

8 0
3 years ago
Read 2 more answers
Is (x-4) a factor of f(x) = x3 - 2x2 + 5x + 1? Use either the remainder theorem or the factor theorem to explain your reasoning.
Virty [35]

Answer:

(x-4) is not a factor of f(x)=x³-2x²+5x+1

Step-by-step explanation:

Uding the remainder theorem,(x-4) is a factor if the remainder is 0

Plug in x=4

(4)³-2(4)²+5(4)+1

64-32+20+1

64-53

11

7 0
3 years ago
Write the equation of the circle with center (0, 6) and radius 1.
lions [1.4K]
This is an equation in STANDARD form for a circle:

(x-h)^2 + (y-k)^2 = r^2

The values of (h, k) are the center point of the circle. When they are put into an equation, their symbols flip as in, if they are positive on a graph, they become negative in the equation and vice versa. 

The value (r) is the radius and is squared in the equation. In this case, the square root of 1 is 1. 

(x)^2 + (y-6)^2 = 1
4 0
4 years ago
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