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stich3 [128]
3 years ago
8

What is the amplitude of the cosine function corresponding to the secant function graphed below ? a. -2 b. -1 c. 2 d. 3

Mathematics
1 answer:
Bas_tet [7]3 years ago
7 0

Answer:

2

Step-by-step explanation:

From the graph, we obtain the trigonometric function as:

y=2 \sec x+1

The corresponding cosine function have equation.

y=2\cos x+ 1

This function is of the form: y=a\cos bx+c

where |a| is the amplitude.

Therefore the amplitude is |2|=2

The third choice is correct

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Anna is in charge of the alumni fundraiser for her alma mater. She is selling pre-sale tickets for $10 and at-the-door tickets $
Ivenika [448]

Answer:

D. 67

Step-by-step explanation:

To help me see the region we needed to look at, I wrote the inequalities out.

Let x be number of pre-sale tickets and y be the number of at-the-door tickets as your graph suggests.

So one of the inequalities about number of where the other one is about cost.

You are given x+y is no more than 400 or x+y<=400 (the top line graphed in your picture is x+y=400).

You are given 10x+25y is at least 5000 or 10x+25y>=5000 (the bottom line graphed in your picture).

I solved both of these for y.

x+y<=400

Subtract x on both sides giving y<=-x+400 (shaded below line because of the y< part).

10x+25y>=5000

Subtract 10x on both sides:

       25y>=-10x+5000

Divide both sides by 25:

          y>=-2/5 x+200 (shaded above the line because of y> part).

The region we should then be looking at is:

Let's look at the points (0,400), (0,200), and finally (333,67).

Cost=10x+25y

Let's plug in

Cost=10(0)+25(400)=10000

Cost=10(0)+25(200)=5000  (can we go lower than 200)

Cost=10(333)+25(67)=5005 (our y is lower 200 so far this is the winner)

Cost 10(334)+25(66)=4990 (didn't meet the 5000 dollar requirement)

67 D.

(Also if you look at the graph 66 would not be included in the shaded region; it would be too low)

5 0
3 years ago
Read 2 more answers
A total of 145 tickets were sold to a film showing bringing in a total of $1,153. Two types of tickets were sold: adult tickets
zalisa [80]
Supposing all were child tickets:
145x$5=$725
$1153-$725=$428 (diff. between above price and  original price)
$9-$5=$4 (diff. between adult price and child price)
$428÷$4=107 (no. of adult tickets)

Ans: 107
3 0
3 years ago
The lifetime of a certain brand of battery is known to have a standard deviation of 9 hours. Suppose that a random sample of 150
Kobotan [32]

Answer:

The 90% confidence interval for the true mean lifetime of all batteries of this brand is between 39.3 hours and 41.7 hours. The lower limit is 39.3 hours while the upper limit is 41.7 hours.

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.

That 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.

M = 1.645\frac{9}{\sqrt{150}} = 1.2

The lower end of the interval is the sample mean subtracted by M. So it is 40.5 - 1.2 = 39.3 hours

The upper end of the interval is the sample mean added to M. So it is 40.5 + 1.2 = 41.7 hours

The 90% confidence interval for the true mean lifetime of all batteries of this brand is between 39.3 hours and 41.7 hours. The lower limit is 39.3 hours while the upper limit is 41.7 hours.

7 0
3 years ago
What is 7 over 100 simplified
Andru [333]
7/100 is already simplified as 7 is a prime number.
4 0
3 years ago
Shawna, Dexter, and Tilana are solving the equation Negative 2. 5 (5 minus n) 2 = 15. Shawna says, "I can begin by dividing each
aleksandrvk [35]

Shawana, Dexter, and Tilana are correct.

<h2>Given that</h2>

Equation: \rm  -2.5(5 - n) + 2 = 15&#10;&#10;&#10;

<h3>We have to determine</h3>

Which students are correct?

<h3>According to the question</h3><h3>Equation: \rm  -2.5(5 - n) + 2 = 15&#10;&#10;&#10;</h3>

The correct way to solve the equation is;

SHAWNA

Statement: Dividing each side of the equation by –2.5,

\rm  \dfrac{-2.5(5 - n) + 2 }{-2.5}= \dfrac{15}{-2.5}\\&#10;\\&#10;(5-n) - \dfrac{2}{2.5} =  \dfrac{15}{-2.5}\\\\&#10;\\&#10;

Here, Shawna is correct.

DEXTER

Statement: Distributing -2.5 to get -12.5 + 2.5 n + 2 = 15.

\rm -2.5(5-n) +2=15\\&#10;\\&#10;-2.5(5) - 2.5 (-n) +2= 15\\&#10;\\&#10;-12.5 +2.5n +2=15

Hence, Dexter is correct.

" Tirana says, "I can begin by multiplying each side of the equation by Negative Start fraction 1 over 2. 5 End fraction to get 5 minus n minus 0. 8 = negative 6. "

\rm \dfrac{-1}{2.5} (-2.5 (5-n)+2)= \dfrac{-1}{2.5}\times 15\\&#10;\\&#10;(5-n) + \dfrac{-2}{2.5} = \dfrac{-15}{2.25}\\&#10;\\&#10;(5-n) -\dfrac{2}{2.5} = \dfrac{-15}{2.5}\\&#10;\\&#10;5-n-0.8=-6

Hence, Tilana is also correct.

Hence, Shawana, Dexter and Tilana are correct.

To know more about Equation click the link given belwo.

brainly.com/question/13904969

8 0
2 years ago
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