If we negate a quantified statement, first we negate all the quantifiers in the statement from left to right, ( keeping the same order ) then we negative the statement,

Here, the given statement,

1. ∃y ∈Z such that ∀x ∈Z, R (x + y)

By the above definition,

Negation of this statement is ∀ y ∈ Z such that ∃ x ∈ Z, ¬R (x + y),

2. Similarly,

The negation of statement ∀x ∈Z, ∃y∈Z such that R(x + y),

∃ x ∈ Z, ∀ y ∈ Z such that ¬R(x + y)

6 0

3 years ago

Dr. Stevens mixed 10.357 grams of chemical A, 12.062 grams of chemical B, and 7.506 grams of chemical C to make 5 doses of medic

Lubov Fominskaja [6]

Answer:

A. 29.93 grams

B. 29.925 grams

C. 0.005 grams

D. 5.985 grams per dose

Step-by-step explanation:

Chemical A = 10.357 grams

Chemical B = 12.062 grams

Chemical C = 7.506 grams

Number of doses of drugs = 5

A. About how much medicine in grams

Round each chemical to the nearest tenth

Chemical A = 10.36 grams

Chemical B = 12.06 grams

Chemical C = 7.51 grams

Total medicine in grams = chemical A + chemical B + chemical C

= 10.36 + 12.06 + 7.51

= 29.93 grams

B. Find the exact amount of medicine mixed by Dr. Stevens.

Total medicine in grams = chemical A + chemical B + chemical C

= 10.357 + 12.062 + 7.506

= 29.925 grams

C. What is the difference between the exact amount and the estimated amount of medicine

Difference = Estimated amount - Exact amount

= 29.93 grams - 29.925 grams

= 0.005 grams

D. How many grams are in one dose of medicine?

Grams in a dose = exact amount of chemicals / 5 doses

= 29.925 grams / 5

= 5.985 grams per dose

Approximately 5.99 grams per dose

4 0

3 years ago

Is y = a x^2 + b x + c a quadratic function?

kvv77 [185]

Yes it is , because it has X²

8 0

3 years ago

Read 2 more answers

If x=7 and y=7,then x=y​

If x=7 and y=7,then x=y