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3 years ago

Trigonometry

Mathematics

2 answers:

xz_007 [3.2K]3 years ago

4 0

Answer:

60º

Step-by-step explanation:

Using unit circle you can count up until you get the answer of 60º. Alternatively you can multiply 2pi/6 by 180/pi which will give you the same answer.

statuscvo [17]3 years ago

4 0

Answer:60°

Step-by-step explanation:

Using unit circle you can count up until you get the answer of 60º

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The table gives the highest and lowest recorded temperatures for six cities. Which cities recorded a difference between their hi

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A and E

Step-by-step explanation:

Death Valley and Alaska

73+42=115

134+15=149

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4 years ago

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Answer:

=£1970

Step-by-step explanation:

10%=£360

5%=£190

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3 years ago

When rabbits were introduced to the continent of Australia they quickly multiplied and spread across the continent since there w

Lady bird [3.3K]

Answer:

a. $y=6(1.7472)^x$

b. $y=6e^{0.558t}$

c.13.3 months

Step-by-step explanation:

a.-Given the first term at $t_0$ is 6 and the second term at $t_3$ is 32.

-Let's take rabbit population as a function of time to be

$y=ab^x$

where y is the population at time x and a the initial population at $t_0\\$

#We substitute our values to calculate the value of the constant b:

$y_x=ab^x\\\\y_3=ab^3\\\\32=6b^3\\\\b=1.472$

#Replace b in the population function:

$y=ab^x, b=1.7472,a=6\\\\\therefore y=6(1.7472)^x$

Hence, the regression for the rabbit population as a function of time x is $y=6(1.7472)^x$

b. The exponential function in terms of base $e$ is usually expressed as:

$A=A_0e^{kt}$

Where:

$A_0$ -is the initial population at $t_o$

$A$ -is the population at time t.

$k-$ is the exponential growth constant.

$e-$ the exponent

Our function in terms of base exponent is rewritten as:

$y=A_0e^{kt}$

#Substitute with actual figures to solve for t:

$y=A_0e^{kt}, y=32, xt=3, A_0=6\\\\32=6e^{3k}\\\\3k=In (32/6)\\\\k=0.5580$

Hence, the regression equation in terms of base e is $y=6e^{0.558t}$

c. We substitute y with any number higher than 10,000 to estimate the time for the rabbits to exceed 10,000.

-We know that $y=6e^{0.558t}.$

Therefore we calculate t as(take y=10001):

$y=6e^{0.558t}, y=10001\\\\10001=6e^{0.558t}\\\\1666.8333=e^{0.558t}\\\\0.558t= In 1666.8333\\\\t=13.2951$

Hence, it takes approximately 13.3 months for the population to exceed 10000

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4 years ago

How are inequalities and equations alike and different?

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Inequalities and equations are alike in that they both involve two sides of a sign (whether it is an equal sign or an inequality sign) being compared. For example, both y = x + 2 and y > x + 2 are just ways of comparing the values of x and y.

They are different in that equations give a set number of definite answers (such as x = 2 and y = 3), while inequalities give an infinite number of answers (such as every number from 3 to infinity). Equations give a definite value to a variable, while inequalities give infinite possibilities, cutting out the regions that are impossible.

5 0

4 years ago

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5th Grade Math Help!

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Answer:

C. 500

Step-by-step explanation:

1/10 of 5000 = 1/10 × 5000

= 500

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4 years ago

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