Which statement correctly describes the relation between the variables in the equation c=\pi d

The statement "The square of any rational number is rational" can be rewritten formally as "For all rational numbers x, x 2 is r

____ [38]

Answer:

a.

For all non zero fraction 1(1/x), 1/x is a fraction

For all 1/(1/x), if 1/(1/x) is non zero, 1/x is a fraction

b.

For all polynomial function f(x) = x³ + x² + x - 1, the derivative (dy/dx) is a polynomial function

For all f(x) x³ + x² + x - 1, if f(x) is polynomial, f'(x) is a polynomial function

c.

For all angles x,y,z of a triangle, the sum, x + y + z = 180

For all x,y,z, if x,y and z are the angles of a triangle, x+y+z = 180

d.

For all irrational numbers x, -x is irrational

For all x, if x is irrational then -x irrational.

e.

For two integers, x and y, the sum x+y is an integer

For x,y if x and y are integers, then x + y is an integer

f.

For two fractions, x/y and a/b the product ax/by is a fraction

For x/y and a/b, if x/y and a/b are fractions then ax/by is a fraction

3 0

2 years ago

Alexis wanted to understand whether grade level had any relationship to their opinion on extending the school day. She surveyed

MakcuM [25]

Actually there is enough information to solve this problem. First, let us find the total per row and per column.

(see attached pic)

P(Grade 10 | opposed) with P(opposed | Grade 10)

P(Grade 10 | opposed) = Number in Grade 10 who are opposed / Total number of Opposed (column)

P(Grade 10 | opposed) = 13 / 41 = 0.3171

P(opposed | Grade 10) = Number in Grade 10 who are opposed / Total number in Grade 10 (row)

P(opposed | Grade 10) = 13 / 32 = 0.4063

Therefore:

P(Grade 10 | opposed) IS NOT EQUAL P(opposed | Grade 10), hence they are dependent events.

Answer:

P(Grade 10 | opposed) < P(opposed | Grade 10)

6 0

2 years ago

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Jude says that the volume of a square pyramid with base edges of 7 in and a height of 7 in is equal to the volume of a cylinder

irakobra [83]

Answer:

Jude is not correct

Step-by-step explanation:

The volume of a square pyramid is given as:

$V = a^2\frac{h}{3}$

where a = base edge and h = height

Hence, the volume of the square pyramid with base edge of 7 in and height of 7 in is:

$V = 7^2*\frac{7}{3}$

V = $114.3 in^3$ ≅ $114 in^3$

The volume of a cylinder is given as:

$V = \pi r^2h$

where r = radius and h = height

Hence, the volume of a cylinder with radius of 7 in and height of 7 in is:

$V = \pi *7^2*7$

V = $1077.57 in^3$ ≅ $1078 in^3$

Since their volumes are not equal, Jude is not correct.

8 0

2 years ago

A mapping diagram showing a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negat

il63 [147K]

Answer:

{x | x = –5, –3, 1, 2, 6}

Step-by-step explanation:

The domain is the list of first-values of the ordered pairs:

{x | x = –5, –3, 1, 2, 6}

7 0

2 years ago

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Question 1(Multiple Choice Worth 1 points)

tester [92]

The correct answer is d15

7 0

2 years ago