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igomit [66]
3 years ago
10

Simplify 270 ÷ 3[(4 - 3)3 - (-9)] - 53

Mathematics
2 answers:
Lilit [14]3 years ago
6 0
The answer is: 90*12-53
1080-53
Andreyy893 years ago
4 0
270 / 3 ( (4 - 3) 3 - (-9) ) - 53
270 / 3 (1 x 3 - (-9) ) - 53
270 / 3 (3 + 9) - 53
270 / 3 x 12 - 53
In PEMDAS, with multiplication and division, you must go left to right, not multiplication then division.
90 x 12 - 53
1080 - 53
1027 is your answer
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What is the volume of a box that is 12” x 16” wide and 24 inches in length
solmaris [256]

Answer:

4608

Step-by-step explanation:to find volume you need to multiply.In this case we need to multiply 12*16*24 which equals 4608.

12*16=192*24=4608

3 0
3 years ago
Use a double angle identity to rewrite the formula r(Θ)=<img src="https://tex.z-dn.net/?f=1%2F16v%5E2sin%28theta%29cos%28theta%2
Artist 52 [7]

Answer:

1/32v²sin2θ

Step-by-step explanation:

Given the expression r(theta) = 1/16v²sinθcosθ

According to double angle of trigonometry identity;

Sin2θ = sin(θ+θ)

Sin2θ = sinθcosθ + cosθsinθ

Sin2θ = 2sinθcosθ

sinθcosθ = sin2θ/2 ... **

Substituting equation ** into the question

1/16v²sinθcosθ = 1/16v²(sin2θ/2)

1/16v²sinθcosθ = 1/2×1/16v²(sin2θ)

1/16v²sinθcosθ = 1/32v²sin2θ

Hence using the double angle identity, the equivalent expression is 1/32v²sin2θ

7 0
3 years ago
Convert 3,200,000 to scientific notation.
mixas84 [53]
The scientific notation of 3,200,000 is 3.2 * 10^6.
The number must be between 1 and 10, and we move the decimal 6 places to the left to get between 1 and 10.
4 0
3 years ago
A bacteria culture grows with constant relative growth rate. The bacteria count was 1,920 after 4 hours and 1,966,080 after 12 h
attashe74 [19]

From the calculation, the growth rate is 0.88.

<h3>What is the growth rate?</h3>

To find the relative growth rate

P1 = Poe^rt

P2 = Poe^rt

Thus;

1920 = Poe^4r ------ (1)

1966080 =Poe^12r -------(2)

P2/P1 gives;

1966080/1920 = Poe^12r/Poe^4r

1024 = e^12r/e^4r

1024 =e^8r

1024 = (e^r)^8

2^10 = (e^r)^8

e^r = 2^1.25

e^r = 2.38

r = ln(2.38)

r = 0.88

The initial size of the culture is;

1920 = Poe^(0.88 * 4)

Po = 1920/e^(0.88 * 4)

Po = 57

The  expression for the exact number of bacteria after t hours is

P(t) = 57e^0.08t

The growth (in bacteria per hour) after 9.5 hours is

P(t) = 57e^(0.88 * 9.5)

P(t) = 243544

For the number to reach 72,000;

72,000 =  57e^0.88t

72,000/57 = e^0.88t

ln 126 = ln[e^0.88t]

4.8 = 0.88t

t = 4.8/0.88

t = 5.5 hours

Learn more about exponential growth;brainly.com/question/13674608

#SPJ1

8 0
2 years ago
Find the area. Around your answer to decimal places​
alexgriva [62]
  • Answer:

<em>86.20 ft²</em>

  • Step-by-step explanation:

<em>Hi there !</em>

<em>A = A₁ + A₂</em>

<em>A₁ =semicircle</em>

<em>A₁ = πr²/2</em>

<em>r = d/2 = 6.4ft/2 = 3.2 ft</em>

<em>A₁ = 3.14×(3.2ft)²/2 ≈ 32.15 ft²</em>

<em />

<em>A₂ =  trapezium</em>

<em>A₂ = (b + B)×h/2</em>

<em>A₂ = (5.1ft + 6.4ft)×9.4ft/2 = 54.05 ft²</em>

<em />

<em>A = 32.15 ft² + 54.05 ft² = 86.20 ft²</em>

<em>Good luck !</em>

7 0
3 years ago
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