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Tems11 [23]
2 years ago
10

What restriction should be applied to y = tanx for y = arctanx to be defined?

Mathematics
1 answer:
Dmitrij [34]2 years ago
3 0

Answer:

restrict the domain to (-pi/2, pi/2)

Step-by-step explanation:

edge 2020

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A movie theater has a seating capacity of 387. The theater charges $5.00 for children, $7.00 for students, and $12.00 of
Rainbow [258]

Answer:

The attendance was 198 children, 90 students and 99 adults.

Step-by-step explanation:

We define:

c: children attendance

s: students attendance

a: adult attendance

The equation that describes the total ticket sales is:

5c+7s+12a=2808

We also know that the children attendance doubles the adult attendance:

c=2a

The third equation is the seating capacity, which we assume is full:

c+s+a=387

We start by replacing variables in two of the equations:

c=2a\\\\s=387-c-a=387-2a-a=387-3a

Then, we solve the remaining equation for a:

5c+7s+12a=2808\\\\5(2a)+7(387-3a)+12a=2808\\\\10a+(2709-21a)+12a=2808\\\\10a+12a-21a=2808-2709\\\\a=99

Then, we solve for the other two equations:

c=2a=2*99=198\\\\s=387-3a=387-3*99=387-297=90

The attendance was 198 children, 90 students and 99 adults.

8 0
3 years ago
Which is NOT an example of an internal response to stimuli?
dezoksy [38]
D i think because stimuli is a responce right ?
7 0
3 years ago
What is the decimal for 2 7/10?
Archy [21]

Answer: 2.7 is the decimal for 2 7/10

4 0
3 years ago
Read 2 more answers
Solve for x<br> a 2.2<br> b 5.4<br> c 6.5<br> d 7.2
Reika [66]

Answer:

D

Step-by-step explanation:

Given that the segment is an angle bisector then the ratio of sides and base are equal, that is

\frac{10}{4} = \frac{18}{x} ( cross- multiply )

10x = 72 ( divide both sides by 10 )

x = 7.2 → D

8 0
3 years ago
You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you beli
zhuklara [117]

Answer:

We need to sample at least 1069 parents.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How many parents do you have to sample?

We need to sample at least n parents.

n is found when M = 4, \sigma = 79.5. So

M = z*\frac{\sigma}{\sqrt{n}}

4 = 1.645*\frac{79.5}{\sqrt{n}}

4\sqrt{n} = 1.645*79.5

\sqrt{n} = \frac{1.645*79.5}{4}

(\sqrt{n})^{2} = (\frac{1.645*79.5}{4})^{2}

n = 1068.92

Rounding up

We need to sample at least 1069 parents.

6 0
3 years ago
Read 2 more answers
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