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Yuri [45]
1 year ago
15

Use trigonometric identities, algebraic methods, and inverse trigonometric functions, as necessary, to solve the following trigo

nometric equation on the interval [0, 27).Round your answer to four decimal places, if necessary. If there is no solution, indicate "No Solution."Scos(x) - 5 = 0

Mathematics
1 answer:
uranmaximum [27]1 year ago
6 0

we have the function

5\cos x-5=0

Rewrite

\begin{gathered} 5\cos x=5 \\ \cos x=\frac{5}{5} \\ \cos x=1 \end{gathered}

The domain for x is the given interval [0,2pi) ----> 2pi is not included

the values of x are

x=0 radians

<h2>The solution is x=0</h2>
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More people leave Anytown, AL each year than move into it. The population over the past 20 years is shown in the table. Use tech
Phoenix [80]

The equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.

<h3>What is the line of best fit?</h3>

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

Let's suppose the equation that models the exponential decline is:

\rm y = a(b^x)

From the data given, we can calculate the value of a and b:

a = 46348587109809610

b = 0.9861

y = 46348587109809610(0.9861)ˣ

Thus, the equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.

Learn more about the line of best fit here:

brainly.com/question/14279419

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6 0
2 years ago
128 is 74% of what number
GarryVolchara [31]
Percent means parts out of 100
74%=74/100=0.74


'of' means multiply


so
128 is 74% of what means
128=0.74 times what
divide both sides by 0.74
172.97297297297297297297297297297=what
the number is about 173

5 0
3 years ago
If the diameter of a circle is 124 centimeters, then what is the radius.
zhenek [66]

Answer:

radius = 62 cm

Step-by-step explanation:

radius = diameter/2

radius = 124/2 = 62 cm

6 0
3 years ago
Read 2 more answers
Which value is equivalent to: 1 1/2 divided by 4 1/2 x 1 1/3
Nostrana [21]

Answer:

The answer is 4/9

Step-by-step explanation:

Hi. Here's the work.

First turn everything into an improper fraction.

1 \frac{1}{2} ÷ 4 \frac{1}{2} * 1 \frac{1}{3} = \frac{3}{2} ÷ \frac{9}{2} * \frac{4}{3}

To divide fractions we multiply by the flipped version of the fraction, or the reciprocal.

\frac{3}{2} ÷ \frac{9}{2} * \frac{4}{3} = \frac{3}{2} *\frac{2}{9} *\frac{4}{3}

Now we just multiply the fractions!

\frac{3 * 2 * 4}{2 * 9 * 3} = \frac{4}{9}

The answer is therefore 4/9. Please mark brainliest if possible and i hope you get a good grade on your homework. ;)

6 0
2 years ago
A cup of coffee which is initially at a temperature of 154∘F is placed in a room which is at a constant temperature of 71∘F. In
Lesechka [4]
Newton's law of cooling is
k (t₁ - t₂) = -ln (T₁ - T∞ / T₂ - T<span>∞)

Use the two data points in the given to find k.

t = 0, T = 154
t = 10, T = 133

Solution:

k(0 - 10) = - ln (154 - 71/ 133 - 71)
-10k = -0.291716
k = 0.02917 or 0.0292

So now find t when T = 100
0.2917 * ( 0 - t) = -ln (154 - 71 / 100 -71)
- 0.02917t = - 1.0515
t = 36. 05 minutes
to the nearest minute t = 36</span>
6 0
3 years ago
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