MATHEMATICS HIGH SCHOOL

A room with poor air quality has a particle concentration of 80 units. ​A fan removes 50% of the remaining particles each hour. What is the ​particle concentration, in these same units, in the room after 2 hours? ​​

Answers

Answer 1
Answer:

Answer:

20 units

Step-by-step explanation:

Initial particle concentration = 80 units

Particles removed each hour = 50% of the remaining particles

To find:

Particle concentration after 2 hours = ?

Solution:

Particles removed in 1 hour = 50% of remaining particles

i.e. Particles removed in 1 hour = 50% of initial concentration

Particles removed in 1 hour = 50% of 80 = 40

Particles removed in next 1 hour = 50% of remaining particles

i.e. Particles removed in next 1 hour = 50% of concentration after 1 hour

Particles removed in next 1 hour = 50% of 40 = 20

Total particles concentration removed in 2 hours = 40 + 20 = 60 units

Therefore, particle concentration after 2 hours = Initial concentration - Total particle concentration removed in 2 hours

= 80 - 60 = 20 units

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Find the quotient –88 ¸ 11.a. –10b. –7c. –8d. –3

Which measurement is not equivalent to the others?6 pints
3 quarts
36 fl. oz.
12 cups

Answers

36 Fl. oz

because 1pint=2 cups & 6x2=12
1quart=4cups & 3x4=12
and 1quart=2 pints & 3x2=6

Answer:

36 fl. oz

Step-by-step explanation:

coz 6 pints=3 quarts

12 cups=6 pints

36 fl. oz.= 4.5 cups

36 fl. oz.=1.125 quarts

36fl. oz.=2.25 pints

Factor the trinomial below 12x^2-11x-36

Answers

The factors of the trinomial are (4x-9)(3x+4).

What is a trinomial?

A trinomial is an algebraic expression that has three non-zero terms. If three monomials are separated by addition or subtraction, then it is a trinomial.

For the given situation,

The trinomial is 12x^2-11x-36.

The given trinomial is a quadratic equation.

The quadratic equation can be factored as

⇒ 12x^2-11x-36

⇒ 12x^2-27x+16x-36

⇒ 3x(4x-9)+4(4x-9)

⇒ (4x-9)(3x+4)

Hence we can conclude that the factors of the trinomial are (4x-9)(3x+4).

Learn more about factor the trinomial here

brainly.com/question/15611437

#SPJ2

Step-by-step explanation:

12x2 - 11x - 36

12x2 - 27x + 16x - 36

3x (4x - 9) + 4(4x - 9)

(4x - 9) and (3x + 4) are the factors

PZ HURRY. find angle b.​

Answers

Answer:

b = 60°

Step-by-step explanation:

If you look at the side under the 30° angle, there's a small red box, signifying a right (90°) angle. Doing the math, then, you would do:

90 = 30 + b

b = 60

60° if im not mistaken. the right angle is 90° and 30°+b is also 90° as 180°-90°=90°. therefore 90°-30°=60°. hope it helped!

What is the product of 2p + q and –3q – 6p + 1?–12p2 – 6pq – 4p – 3q + 1
–12p2– 12pq + 2p – 3q2 + q
–9p2q2 + 12pq – 2p + q
12p2 + 12pq +2p + 3q2 + q

Answers

The product of the 2p + q and –3q – 6p + 1 is \rm -12p^2-12pq+2p-3q^2+q.

Given

The given terms are;

2p + q and –3q – 6p + 1

How to calculate the product of given terms?

To find a product, you'll need to multiply at least two numbers together following all the steps given below.

The product of the terms is;

\rm = (2p+q) * (-3q-6p+1)\n\n= 2p* (-3q-6p+1) + q* (-3q-6p+1)\n\n= 2p* (-3q) +2p* (-6p)+2p* (1) + q* (-3q) + q*(-6p) +q* (1)\n\n=-6pq-12p^2+2p-3q^2-6pq+q\n\n= -12p^2-12pq+2p-3q^2+q

Hence, the product of the 2p + q and –3q – 6p + 1 is \rm -12p^2-12pq+2p-3q^2+q.

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Answer:  Second option is correct.

Step-by-step explanation:

Since we have given that

(2p+q)\ and\ (-3q-6p+1)

We need to product the two polynomials .

Here it is :

(2p+q)(-3q-6p+1)\n\n=2p(-3q-6p+1)+q(-3q-6p+1)\n\n=-6pq-12p^2+2p-3q^2-6pq+q\n\n=-12p^2-3q^2+2p+q-12pq

Hence, Second option is correct.

Please help!! need to pass this class!!

Answers

Answer:

ADB and DBC

Step-by-step explanation:

Angles ADB and DBC are both marked with three curved lines which shows that their angles are congruent to each other.

Hope this helps! :)

For the missing term in the geometric sequence, Find the possiblefor the missing term in the geometric sequence, Find the possible values.4, ?, 1/36 

Answers

Use property of geometric sequence:

4,x,(1)/(36)\n \n (x)/(4)=((1)/(36))/(x)\n \n x^2=4.(1)/(36)\n \n x^2=(1)/(9)\n \n x=\pm (1)/(9)\n \n \boxed{x=\pm (1)/(3)}
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