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2 years ago

Which of the following is the graph of y = 0.5 sec (X +pi/3 ) -2

Mathematics

1 answer:

prisoha [69]2 years ago

6 0

Answer:

See answers and explanations below (along with a graph)

Step-by-step explanation:

For a secant function y = a * sec(bx + c) + d:

Period: 2π/|b|

Phase shift: -c/b

Midline: d

Amplitude: |a|

For the given function y = 0.5sec(x + π/3) - 2:

Period: 2π (cycle repeats every 2π units)

Phase shift: -π/3 (π/3 units to the left of the parent function)

Midline: d = -2

Amplitude: a = 0.5

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The makers of a soft drink want to identify the average age of its consumers. A sample of 25 consumers was taken. The average ag

Lelu [443]

Answer:

a.1.90 years

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:

$\alpha = \frac{1-0.99}{2} = 0.005$

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 $1-0.005 = 0.995$ , so $z = 2.575$

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.

In this question:

$n = 25, \sigma = 3.8$

$M = 2.575*\frac{3.8}{\sqrt{25}} = 1.90$

So the correct answer is:

a.1.90 years

8 0

2 years ago

2. Mr. Lavi determined that the total cost of his son's birthday party, c, could be represented by

Tresset [83]

Answer:

41 people attended the party

Step-by-step explanation:

$1120 = 20x + 300$

$1120 - 300 = 20x$

$820 = 20x$

$x = 41$

4 0

2 years ago

What is the simplified form of the expression 2x+4y+3x^2-2y+3y Show your work

allsm [11]

Answer:

2x+5y+3x^2

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Write an equation for a circle with a radius of 5 and a center located at point (2,8)

Dmitrij [34]

A circles equation is
(x – h)^2 + (y – k)^2 = r^2
The center is at the point (h, k)
The radius is r.

Your circles equation is:
(x – 2)^2 + (y – 8)^2 = 5^2

5 0

2 years ago

What is the midpoint of a line segment with endpoints at (-3.5, -2.1) and (5.7,3.3)?

Tanzania [10]

Answer:

(1.1 , 0.6)

Step-by-step explanation:

midpoint (x , y): ( x+x') /2 , (y+y') / 2

x = (-3.5 + 5.7) / 2 = 2.2 / 2 = 1.1

y = (-2.1 + 3.3) / 2 = 1.2 / 2 = 0.6

8 0

3 years ago