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3 years ago

A) all real numbers; R: all real numbers.

Mathematics

1 answer:

Ivan3 years ago

4 0

Answer:

Step-by-step explanation:

The domain is all real numbers and the range is {y|y ≥ –9}

{y|y ≥ –9} is set notation that is saying that the y value can either be greater -9 or equal to 9

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A chemist whishes to prepare 100 liters of 45% purity of sulphuric acid .He has two kinds of acid solutions in stock ,one is 55%

tester [92]

Answer:

the chemist should use 60 liters of 55% solution and 40 litres of 30% solution in order to prepare 100 liters of 45% purity of sulphuric acid.

Step-by-step explanation:

From the given information,

Let x be the litres of 55% pure solution

Let y be the litres of 30% pure solution

Also;

Given that our total volume of solution is 100 litres

x+y =100 ---- (1)

The total solution of pure by related by the sum of the individual pure concentrations to make up the concentration of final solution.

(0.55)(x)+(0.30)(y) = 0.45(100) ---- (2)

From equation (1)

Let ; y = 100 - x

Replacing the value for y = 100 - x into equation (2)

(0.55)(x)+(0.30)(100-x) = 0.45(100)

0.55x + 30 - 0.30x = 45

0.55x - 0.30x = 45 - 30

0.25x = 15

x = 15/0.25

x = 60 liters of 55% solution

From ; y = 100 - x

y = 100 - 60

y = 40 litres of 30% solution.

Therefore, the chemist should use 60 liters of 55% solution and 40 litres of 30% solution in order to prepare 100 liters of 45% purity of sulphuric acid.

7 0

4 years ago

What is the percent error from 16 to 12

lubasha [3.4K]

Answer: 33.33...% percent error

Step-by-step explanation: To find the percent error from 16 to 12, we will be using the "percent error" equation.

difference = percent error x actual

To find the difference, subtract 12 from 16, which is 4.

4 = percent error x actual

The actual is 12 because, because a percent error from 16 to 12, means that the actual was 12 and the estimate was 16 because 16 was to "12"

4 = percent error x 12 (Solve for p, percent error)

4/12 = p

0.33... = p

Multiply 0.33.. by 100, to get the percent error.

0.33... x 100 = 33.33... or 33.33...%

8 0

4 years ago

If the endpoints of the diameter of a circle are (−8, 0) and (−12, 2), what is the standard form equation of the circle?

WITCHER [35]

We know that

the standard form equation of the circle is
(x-h)²+(y-k)²=r²
where
(h,k)------> is the center
and
r----> is the radius

let
A------> the point (−8, 0)
B-------> the point (−12, 2)

step 1
find the distance point A and point B
d=√[(2-0)²+(-12+8)²]------> d=√20-----> d=2√5 units

the distance AB is equals to the diameter
and
the radius r=2√5/2-----> r=√5 units

step 2 find the midpoint AB
midpoint ABx=(-8-12)/2-----> -10
midpoint ABy=(2+0)/2-----> 1

the midpoint is (-10,1)
the center is equal to the midpoint
so
(h,k)------> (-10,1)

step 3
find the equation of a circle
(x-h)²+(y-k)²=r²------> (x+10)²+(y-1)²=(√5)²
(x+10)²+(y-1)²=5

the answer is
(x+10)²+(y-1)²=5

see the attached figure