Use Matrix method to solve the following linear equation system then solve it graphically. Question 1: 2x + 3y =20 Question 2:7x-2y =53

Answers

Answer 1

Answer: This answer 89 and it is a fun thing to say but you can do 89 over one

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Nolan runs a stable that boards 4 brown horses, 9 black horses, 3 brown and white horses, and 2 black and white horses. What is the experimental probability that the next horse that comes to board is brown?

Answers

I believe that it is 22.2%. There are 18 horses and 4 of them are brown, meaning that there is a 4/18 chance that the horse that comes to the board is brown. When you divide 4 from 18 you get 22.2, which would make the probability 22.2%.

Answer:

Step-by-step explanation:

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:

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

Matilda is filling a circular section of her porch with colorful pebbles. She knows the diameter of the circular section is 15ft, and each bag of pebbles covers 10ft. How many bags of pebbles will Matilda need? A. 15 bags B. 16 bags C. 17 bags D. 18 bags

Answers

Answer:

D. 18 bags

Step-by-step explanation:

Given:

Matilda is filling a circular section of her porch with colorful pebbles.

Diameter of circular section = 15 feet.

Each bag of pebbles covers 10 square feet.

Question asked:

How many bags of pebbles will Matilda need?

Solution:

Diameter of circular section = 15 feet

Radius, r = $(Diameter)/(2)=(15)/(2) =7.5\ feet$

$Area\ of\ circular\ section=\pi r^(2)$

$=(22)/(7) *7.5*7.5=(1237.5)/(7)=176.78} \ square\ feet$

10 square feet is covered by number of bag of pebbles = 1

1 square feet is covered by number of bag of pebbles = $(1)/(10)$

176.78 square feet is covered by number of bags of pebbles =

$(1)/(10)*176.78=17.67$

We found up to 17 bags of pebbles there is still some place left to fill the section:-

Thus, Matilda need about 18 bags of pebbles to fill the circular section of her porch.

Which is f(5) for the function –2x2 + 2x – 3? –107 –63 –43 –37

Answers

If f(x) = - 2x² + 2x - 3, then f(5) will be
$f(x)=- 2x^(2) + 2x - 3\n f(5)=- 2(5)^(2) + 2(5) - 3\n f(5)=- 2(25) + 10 - 3\n f(5)=-50 + 10 - 3\n f(5)=-43$

Thus, your answer is C, -43.

You can just put that value 5 in place of x and then evaluate the output.

The value of f(5) for the given function is given by:

Option C: -43

How to evaluate functions on a given point?

Use the definition of function to evaluate the function on a given point. Most of the time, in general cases, the function will be algebraic and you just need to replace the input variables with the value of the point you want to evaluate the function on.

How to evaluate f(5)?

Since it is given that

$f(x) = -2x^2 + 2x - 3$

thus, replace x with 5 everywhere and evaluate the result as:

$f(5) = -2 * (5)^2 + 2 * (5) - 3 = -2 * 25 + 10 - 3 = -50 + 7 = -(50 - 7) = -43\nf(5) = -43$

Remember that $2x$ is 2 multiplied by $x$ , and so as $-2x^2 = -2 * x^2$

And $x^2 = x * x$

We get,

The value of f(5) for the given function is given by:

Option C: -43

Learn more about evaluating a function here:

brainly.com/question/2753269

8w^3 + 12w^2 + 10w +15 factor this expression with work please?

Answers

8w^3 + 12w^2 + 10w +15
Take each two terms and find common factors for each:
4w^2(2w+3)+5(2w+3)
Group them together:
And that is your final answer:
(4w^2+5)(2w+3)

Hope this helps :)

$8w^3 + 12w^2 + 10w +15 \n \n 4w^2 (2w + 3) + 5(2w + 3) \n \n (2w + 3)(4w^2 + 5) \n \n$

The final result is: (2w + 3)(4w² + 5).

The floor of a rectangular deck has an area of 600 square feet. The floor is 20 feet wide. How long is the floor? A. 30 ft. B. 20 ft. C. 15 ft. D. 45 ft.

Answers

A. 30 ft
The formula for the area of a rectangle is width x length = area. Knowing this formula, we can solve for the length by dividing the area by the width. 600 divided by 20 is 30.

The floor of a rectangular deck has an area of 600 square feet. The floor is 20 feet wide THE ANSWER IS (A) 30ft

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