Given the line 2x - 3y - 5 = 0, find the slope of a line that is perpendicular to this line.

Answers

Answer 1

Answer: Here, 2x - 3y - 5 = 0

3y = 2x - 5

Divide the equation by 3,
y = 2/3x - 5/3

Compare it with,y = mx + c
So, slope (m) = 2/3

In short,Your Answer would be: 2/3

Hope this helps!

Answer 2

Answer:

Answer:

2/3

Step-by-step explanation:

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The standard diameter of a golf ball is 42.67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0.002 mm. Which function could represent this situation?A. f(x ) = x – |42.67| B. f(x ) = |x| – 42.67 C. f(x ) = |42.67 – x| D. f(x ) = 42.67 – |x|

Solve for the sum of 2ab2 and (-5ab2) is the same as the sum of (-6ab2) and____.

Answers

The problem ask to find the sum of the said polynomial equation and first of all, you must use the FOIL method in getting the sum of it, you should sum First, Outside, Inside and last and the answer 3ab2. I hope you are satisfied with my answer and feel free to ask for more

what is the value for the a variable and b variable?

What is 6.42 written as a fraction in lowest terms?

Answers

Answer:

6 21/50

Step-by-step explanation:

Convert 6.42 into a fraction (6 42/100)
The GCF of 42 and 100 is 2, so divide 42 and 100 by 2 to simplify.

Answer:

6 21

...50

Step-by-step explanation:

Solve for x. ax+bx=21

Answers

ax + bx = 21

factor out x

x(a + b) = 21
x = 21/(a+b)

ax+bx =21
on factorising x, we get
x( a+b) =21
x = 21/a+b

What is the exact volume of the cylinder? height 9 in. width 6 in.

Answers

your answer is 1017.88 because you have to do this formula

V= $V= \pi R^(2) h$

Volume equals pi times r squared times height So it would be 81pi in cubed

The constraints of a problem are listed below. What are the vertices of the feasible region?2x+3y>12
5x+2y >=15
x>=0 y>=0

A) (0,0) --- (0,4) --- (21/11, 30/11)--- (3,0)
B) (0,0) ---(0,15/2) ---(21/11,30/11),--- (6,0)
C) (0,4) ---(21/11,30/11)--- (3,0)
D) (0,15/2)---(21/11,30/11)---(6,0)

Answers

The vertices of the feasible region of the inequality is given by 2x + 3y > 12 and 5x + 2y ≥ 15

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

2x + 3y > 12 be equation (1)

5x + 2y ≥ 15 be equation (2)

where x , y ≥ 0

Now , the inequalities are plotted on the graph ,

where the vertices of the feasible region is given by A , B and C

A ( 0 , 4 ) , B ( 21/11 , 30/11 ) , C ( 3 , 0 )

Hence , the inequalities are solved and the graph is plotted

To learn more about inequality equations click :

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Answer:

A IS THE ANSWER

Step-by-step explanation:

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The Mill Valley Brewery produces 32 ounce bottles of beer. The Bureau of Weights and Measures randomly selects 50 of these bottles, measures their contents, and obtains a sample mean of 31.8 oz and a sample standard deviation of 0.75 oz. At the 5% level, is there evidence that Mill Valley Brewery is cheating customers by under-filling their bottles?

Answers

Answer:

Since the calculated Z= -1.886 lies within the Z∝ = ± 1.96 we fail to reject our null hypothesis that population mean is 31.8 oz. and not 32 ounces. There is evidence that Mill Valley Brewery is cheating customers by under-filling their bottles.

Step-by-step explanation:

Let the null hypothesis be

H0 : u = 31.8 oz against Ha: u ≠ 31.8 oz two tailed test

For a two tailed test and alpha = 0.05 the z∝ = ± 1.96

The rejection region is Z ≥ ± 1.96

Here n = 50

sample mean = x= 31.8 oz

and sample standard deviation= s= 0.75

Population mean= u= 32

Test statistics to be used is

Z= x- u / s/ √n which is approximately normal

Z= 31.8-32/0.75/ √50