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alukav5142 [94]
3 years ago
13

HELP ASAP! See screenshot for question and answers:

Mathematics
1 answer:
tino4ka555 [31]3 years ago
4 0

Answer:

2 mosquitoes would be killed on the sixth day.

Step-by-step explanation:

To model this situation of exponential decay, we use y=a(b)^x. Y would represent the mosquitoes killed after so many days of the spraying, a would be the initial amount of mosquitoes, b would be how much it decreases each time, and x is days after the spraying. To get the original amount of mosquitoes, we multiply 2400 by 4 and get 9600. I did this because I noticed that each day, you can divide the previous number by 4. Then, our b would be 1/4 because 600 is one fourth of 2400, 150 is one fourth of 600, and so on. Then, I put this into my calculator: 9600(1/4)^6. This gave me 2.34375 but you would round to 2 mosquitoes. Hope this helps :)

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Identify The domain of the rational function, g(x)= 1/x+3
8_murik_8 [283]

Answer:

The domain is (-∞ , -3) ∪ (-3, ∞) ⇒ D

Step-by-step explanation:

<em>The domain of the rational fraction is t</em><em>he values of x which make the fraction defined</em><em>. That means </em><em>the domain does not contain the values of x which make the denominator equal to 0</em><em>.</em>

∵ g(x) = \frac{1}{x+3}

∴ The denominator = x + 3

→ Equate the denominator by 0

∵ x + 3 = 0

→ Subtract 3 from both sides

∴ x + 3 - 3 = 0 - 3

∴ x = -3

→ That means the domain can not have -3 because it makes the denominator

   equal to 0

∴ The domain is all values of real numbers except x = -3

∴ The domain = {x : x ∈ R, x ≠ -3}

∴ The domain = (-∞ , -3) ∪ (-3, ∞)

4 0
2 years ago
Is 17/2 rational or irrational?
Naya [18.7K]

Answer:

it's a Rational number

Step-by-step explanation:

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8 0
2 years ago
Read 2 more answers
Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles will he need? Dmitri w
marta [7]

The number of tiles needed to cover the surface area of the box excluding the bottom is: 1,046 tiles.

<h3>What is the Surface Area of a Box?</h3>

The surface area of a box is the area surrounding all its faces. A box has 6 rectangular faces. Therefore, the total surface area of the box equals the sum of all 6 rectangular faces.

<h3>What is the Surface Area of a Box?</h3>

SA = 2(lw + lh + hw), where:

  • l = length
  • w = width
  • h = height of the box

The image attached below shows the box Dmitri wants to cover. Since the bottom of the box would be excluded, therefore:

The surface area to be covered = surface area of the box - area of the bottom rectangular face

The surface area to be covered = 2(lw + lh + hw) - (l)(w)

l = 26

w = 15

h = 8

Substitute

The surface area to be covered = 2(l×w + lh + hw) - (l)(w) = 2·(15·26+8·26+8·15) - (26)(15) =

The surface area to be covered = 1436 - 390 = 1,046 cm

Area of one tile = 1 cm square

Number of tiles needed = 1,046/1

Number of tiles needed = 1,046 tiles.

Learn more about Surface Area of a Box on:

brainly.com/question/26161002

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