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MariettaO [177]
3 years ago
13

Simplify the following expression: (−4)(−2)(−3)

Mathematics
2 answers:
tankabanditka [31]3 years ago
6 0
-24. Hope it helped
Hoochie [10]3 years ago
3 0
<span><span>(<span><span>(<span>−4</span>)</span><span>(<span>−2</span>)</span></span>)</span><span>(<span>−3</span>)</span></span><span>=<span>−<span>24 
hope this helped:)</span></span></span>
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The population of mosquitoes in a certain area increases at a rate proportional to the current population, and in the absence of
Nesterboy [21]

Answer:

P=400000(2^t)-40000t

Step-by-step explanation:

The initial number of mosquitoes is 400000, and they double each day. This represents an exponential growth equation. If t represent days and P represent the population of the mosquitoes, hence this can be represented by the equation:

P=400000(2^t)

Also, the predators eat the mosquitoes at a rate of 40,000 mosquitoes/day. This means that each day, the mosquitoes reduce by 40000t, therefore this can be represented by:

P=400000(2^t)-40000t

8 0
3 years ago
The figure is mad up of two shapes? A semicircle and a rectangle
musickatia [10]

Answer:

  Your answer choice is correct.

Step-by-step explanation:

The length of the semicircle is ...

  s = π·r = π(4 in)

The three sides of the rectangular section total ...

  9 in + 8 in + 9 in = 26 in

The sum of these lengths make up the perimeter of the figure:

  P = 4π in + 26 in

  P = (4π +26) in

6 0
3 years ago
Ken Has Two Red Shirts, Two Blue Shirts, A Pair Of White Pants And A Pair Of Blue Pants. The Probability That He Will Wear A Red
insens350 [35]

There is a 2 in 4 chance for a red shirt

there is a 1 in 2 chance for blue pants

There is (I think) a 1 in 6 chance for the chosen pain to be worn.

8 0
3 years ago
Findℒ{f(t)}by first using a trigonometric identity. (Write your answer as a function of s.)f(t) = 12 cost −π6
allsm [11]

Answer:

L(f(t)) = \dfrac{6}{S^2+1} [\sqrt{3} \ S +1 ]

Step-by-step explanation:

Given that:

f(t)  = 12 cos (t- \dfrac{\pi}{6})

recall that:

cos (A-B) = cos AcosB + sin A sin B

∴

f(t) = 12 [cos\  t \  cos \dfrac{\pi}{6}+ sin \ t  \ sin \dfrac{\pi}{6}]

f(t) = 12 [cos \  t \ \dfrac{3}{2}+ sin  \ t  \ sin \dfrac{1}{2}]

f(t) = 6 \sqrt{3} \ cos \ (t) + 6 \ sin \ (t)

L(f(t)) = L ( 6 \sqrt{3} \ cos \ (t) + 6 \ sin \ (t) ]

L(f(t)) = 6 \sqrt{3} \ L [cos \ (t) ] + 6\ L [ sin \ (t) ]

L(f(t)) = 6 \sqrt{3}  \dfrac{S}{S^2 + 1^2}+ 6 \dfrac{1}{S^2 +1^2}

L(f(t)) = \dfrac{6 \sqrt{3} +6 }{S^2+1}

L(f(t)) = \dfrac{6( \sqrt{3} \ S +1 }{S^2+1}

L(f(t)) = \dfrac{6}{S^2+1} [\sqrt{3} \ S +1 ]

7 0
3 years ago
Pete’s Painting Company will charge a one-time fee of $60 for labor and $20 for each room painted. Carla’s Creative Colors will
Nadya [2.5K]

Answer:

Pete's: f(x) = 20x + 60

Carla's: f(x) = 40x + 20

Step-by-step explanation:

Let's assume that x is the amount of rooms painted, and f(x)

For Pete's Painting Company, they charge a flat fee of $60, so we will have a constant of 60.

They also charge 20$ per room, meaning that we will multiply 20 by x, the amount of rooms painted.

This gets us the function f(x) = 20x + 60

For Carla's Creative Colors, they charge 20$ to hire the workers, meaning this will be our constant.

They also charge $40 a room, meaning we will multiply 40 by x, the amount of rooms painted.

So the function is  f(x) = 40x + 20.

Hope this helped!

3 0
3 years ago
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