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3 years ago

Answer two questions about Equations A and B:

Mathematics

1 answer:

DiKsa [7]3 years ago

3 0

Step-by-step explanation:

3x+6=18

3x=18-6

3x=12

x=4

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2sinx / cos3x = tan3x - tanx -verify the identity-

scoundrel [369]

Answer:

cos3x+tan3x=0

⟹cos3x=−tan3x

⟹cos3x=−sin3xcos3x

⟹cos23x=−sin3x

⟹1−sin23x=−sin3x

⟹sin23x−sin3x−1=0

This is a quadratic equation in sin3x.

sin3x=−(−1)±(−1)2−4×1×(−1)−−−−−−−−−−−−−−−−−√2×1

sin3x=1±5–√2

If x takes real values, the upper sign must be rejected.

sin3x=1−5–√2

⟹3x=nπ+(−1)nsin−11−5–√2

⟹x=13[nπ+(−1)nsin−11−5–√2]

Step-by-step explanation:

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2 years ago

The formula v =bh means that the volume of a prism is equal to its base area times its height. Solve v= bh for b

svetlana [45]

Solve for b means isolate b:

V = bh
V/h = b

Answer:
b = V/h

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3 years ago

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There’s a full 12 piece pizza. Ayla got a slice of pizza and John got 1 and two half’s of pizza.....how many slices are left.

Ghella [55]

Answer:

Step-by-step explanation:

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3 years ago

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faust18 [17]

Answer:

www.mahtpapa.com

Step-by-step explanation:

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3 years ago

Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e0.0205t,wh

svetoff [14.1K]

Answer: a) 236,000.

b) 2021

Step-by-step explanation:

Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by $p = 130e^{0.0205t}$ (1)

where t = 0 corresponds to 1980.

Then , for 2009

t= 2009-1980=29

a. ⇒The population of Phoenix in 2009 = $p = 130e^{0.0205(29)}$

$p = 130e^{0.5945}$

$p =130(1.81212465608)=235.57620529\approx236$

Hence, the population of Orlando in 2009 was about 236,000.

b) Substitute p= 300 in (1) , we get

$300 = 130e^{0.0205t}$

$2.3077= e^{0.0205t}$ (Divide both sides by 130)

Taking Natural log on both sides,

$\ln(2.3077) = 0.0205t\\\\\Rightarrow\ t=\dfrac{\ln(2.3077)}{0.0205}$

$t=\dfrac{0.836251357528}{0.0205}=40.7927491477\approx41$

Hence, The year Orlando will have a population of 300,000 =1980+41 =2021

6 0

3 years ago