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Natasha2012 [34]
3 years ago
7

Rewrite each of the following statements in the form "∀ _____ x, _____." (a) All dinosaurs are extinct. ∀ x, . (b) Every real nu

mber is positive, negative, or zero. ∀ x, . (c) No irrational numbers are integers. ∀ x, .(d) No logicians are lazy. ∀ x, .(e) The number 2,147,581,953 is not equal to the square of any integer. ∀ x, .(f) The number −1 is not equal to the square of any real number.
Mathematics
1 answer:
jasenka [17]3 years ago
8 0

Answer:

See below

Step-by-step explanation:

Essentially, we have to replace "quantifier words" like "All", "Every" by the universal quantifier ∀.

a) ∀ dinosaur x, x is extinct.

b) ∀ real number x, x is positive, negative, or zero.

c) ∀ irrational number x, x is not an integer.

d) ∀ logician x, x is not lazy.

e) ∀ integer x, x²≠ 2,147,581,953.

f)  ∀ real number x, x²≠ -1.

In a) and b) we replace the words without major changes. In the other statements, we modify the statement using negation. For example, "No irrational numbers are integers." is equivalent to "Every irrational number is not integer".

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Marcial found a recipe for fruit salad that he wanted to try to make for his birthday party. He decided to triple the recipe. a.
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Convert 3 (1/2) into a mixed fraction first and then multiply it by 3:

3(1/2)  * 3

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Information collected from runner 3# is in the table below
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New streetlights will be installed along a section of the highway. The posts for the streetlights will be 7.5 m tall and made of
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First, we determine the volumes of the posts may it be cylindrical in shape or rectangular prism. 

(A) cylindrical:
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(B) rectangular prism:
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Then, we calculate for the amount of substance
 (A) cylindrical:   (0.3 m³)(2700 kg/m³) = 810 kg
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Then, calculate for the costs
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2 years ago
The radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder wi
klasskru [66]

The number of times one needs to use the completely filled cone to completely fill the cylinder with water is <u>24</u>.

In the question, we are given that the radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder with water. The radius of the cone's base is 5 centimeters, and its height is 10 centimeters.

We are asked to find the number of times one needs to use the completely filled cone to completely fill the cylinder with water.

The volume of a cylinder is calculated using the formula, V = πr²h.

The volume of a cone is calculated using the formula, V = (1/3)πr²h.

In both the formulas r is the radius and h is the height.

The volume of the given cylinder using the formula is π(10)²(20) cm³ = 2000π cm³.

The volume of the given cone using the formula is (1/3)π(5)²(10) cm³ = (250/3)π cm².

The number of times one needs to use the completely filled cone to completely fill the cylinder with water =

The volume of the given cylinder/The volume of the given cone,

or, The number of times one needs to use the completely filled cone to completely fill the cylinder with water = {2000π cm³}/{(250/3)π cm²},

or, The number of times one needs to use the completely filled cone to completely fill the cylinder with water = 24.

Thus, the number of times one needs to use the completely filled cone to completely fill the cylinder with water is <u>24</u>.

Learn more about the volume of a cylinder and cone at

brainly.com/question/26263468

#SPJ9

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