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NeX [460]
3 years ago
7

Identify the sine function with the given attributes.

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
4 0

Answer:

<em>Last option </em>

f(t)=sin(\pi(t -3)) + 4

Step-by-step explanation:

The general sine function has the following form  

y = Asin(bt-\phi) + k

Where A is the amplitude: half the vertical distance between the highest peak and the lowest peak of the wave.  

\frac{2\pi}{b} is the period: time it takes the wave to complete a cycle.

k is the vertical displacement.

\phi phase shift

We know that:

amplitude: 1; period: 2; phase shift: 3; vertical shift: 4

Thus:

A =1

\frac{2\pi}{b}=2

b=\pi

\phi=3

k=4

Then the function is:

f(t)=sin(\pi(t -3)) + 4

The answer is last option

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6 0
3 years ago
Please help me! I'm having trouble solving this! In the △PQR, PQ = 39 in, PR = 17 in, and the height PN = 15 in. Find QR. Consid
Vlad [161]

Answer: 44

Step-by-step explanation:

we will find RN and NQ, then add together to give us RQ.

To find RN;

RP= 17 PN = 15 and RN =?

using pythagoras theorem,

adj^2 = hyp^2 - opp^2

RN^2 = RP^2 - PN^2

?^2 = 17^2 - 15^2

?^2 = 17^2 - 15^2

?^2 = 289 - 225

?^2 = 64

? = √64

? = 8

RN=8

To find NQ,

PN = 15 PQ=39 and NQ=?

using pythagoras theorem

NQ^2 = PQ^2 - PN^2

?^2 = 39^2 - 15^2

?^2 = 1521 - 225

?^2 = 1296

? = √1296

? = 36

NQ= 36

RQ = RN + NQ

RQ= 8 + 36

RQ=44

4 0
3 years ago
Name and describe the methods for determining a marketing budget.
Mekhanik [1.2K]

Answer: There are several ways in which we can determine our marketing budget. Some of these are given below:

<u><em>1. Percentage of revenues:</em></u>

Under this method we usually  take a fixed percentage of our revenues and further allocating this amount for marketing. We will choose the percentage that works best for us.

<u><em>2. Percentage of net sales:</em></u>

This method determines our marketing budget as a fraction of our net sales. This method will take a lot of trial and error to find the percentage that works well for our company.

<u><em>3. Industry specific:</em></u>

Nowadays, industries have specific projections as to the amount they will need to spend on marketing . The best way to get these numbers is to find a firm that represents our industry and ask them to provide us with averages. We can then refine the actual costs.

<em><u>4. Objective/task oriented </u></em>

This is model that works by setting out goals, planning out the tasks and then estimating the cost for all of these tasks. It works greatly for firms who have a immense knowledge about measurements and information of their business processes.

4 0
3 years ago
Sherrod and Kamar are planning to drive at most 900 miles road trip. Sherrod drives at 60 miles per hour, and Kamar at 50 miles
Allushta [10]

The inequality gives the total expected journey from the road trip, such that the time during which Sherrod and Kamar drives is known.

  • a. The inequality that represents the miles that Sherrod and Kamar drives is; <u>x + y ≤ 900</u>
  • b. Two possible combination of <em>x</em> and <em>y</em> are; <u>(600, 300) and (300, 600)</u>

Reasons:

a. The distance distance Sherrod and Kamar plan to drive ≤ 900 miles

Sherrod's speed = 60 mph

Kamar's speed = 50 mph

The distance Sherrod drives = x

The distance Kamar drives = y

a. The miles driven by Sherrod and Kamar is given by the inequality;

  • <u>x + y ≤ 900</u>

b. Two possible combinations are;

First possible combination;

Sherrod drives for 10 hours, which gives;

Distance Sherrod drives = 60 mph × 10 hour = 600 miles

Kamar drives for 900 miles - 600 miles = 300 miles

Which gives;

Sherrod drives for 600 miles and Kamar drives for 300 miles

  • <u>First combination; (600, 300)</u>

Second possible combination;

The second possible combination is Sherrod drives for 300 miles and Kamar drives for 600 miles

  • <u>Second combination; (300, 600)</u>

Learn more about inequalities here:

brainly.com/question/22976364

6 0
2 years ago
For this item, complete the choice matrix by clicking the appropriate answer in each row.
Diano4ka-milaya [45]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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