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e-lub [12.9K]
1 year ago
15

Simplify: sin8x cos3x + cos8x sin3x

Mathematics
1 answer:
UkoKoshka [18]1 year ago
6 0

Answer: sin11x

step by step solution :

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A set of data points has a line of best fit of y=2.5x-1.5
castortr0y [4]

To solve this problem you must apply the proccedure shown below:

1- You must apply the following formula:

R=yo-yp

WhereR is the residual, yo is the observed value y and yp is the predicted value y.

2- You only need to substitute the x=5 into the equation y=2.5x-1.5 and then, you must apply the formula for calculate the residual:

y=2.5(5)-1.5\\ y=11

R=12-11\\ R=1

The answer is: The residual is 1

7 0
2 years ago
Read 2 more answers
The number of hours walked varies inversely with the speed of the walker. if it takes sam 12 hours to complete his walking goal
Effectus [21]
We let k be the proportionality constant for the relationship between number of hours, h and speed of the walker, s. 

                        h = k/s
Substituting the known values,
                        12 = k/5
                          k = 60

For the second scenario,
                          h = k/s
Substituting the calculated value for k and the given value for speed,
                          h = (60)(3 miles/hour)
                         h = 20 hours
                         h = 20 hours

Therefore, it will take 20 hours to walk with a speed of 3 miles per hour. 
7 0
1 year ago
the diagonal of a tv is 26 inches long assuming that this diagonal forms a tv pair 30-60-90 right triangles what are the exact l
Alexxandr [17]
It is an application of Pythagorean Theorem

And it is clear that the lower angle is 30 and the apex angle is 60 (this is how always normal TVs look like) ... refer to the image I attached

So, to calculate the width and the length:

\frac{length}{26} =cos(30)\\~\\length=26*cos(30)=13 \sqrt{3} ~~in

\frac{width}{26} =sin(30)\\~\\width=26*sin(60)=13~~in


You can after that round the length to be 22.517 in



Hope you got the idea

3 0
2 years ago
: adam and melissa went fly-fishing and caught a total of 32 salmon. melissa caught three times as many salmon as adam. how many
nadya68 [22]
A=Adam
m= Melissa

a+m = 32
m= 3a
Then 3a + a = 32  or 4a =32  then a = 8
5 0
1 year ago
The price that a company charged for a basketball hoop is given by the equation 50 - 5x^2 where x is the number of hoops that ar
DiKsa [7]

Answer: The correct option is first, the number of basketball hoops did the company previously produce to make the same profit is 1.3 million hoops.

Explanation:

Let the number of basketball hoops did the company previously produce to make the same profit be x.

Total Revenue = Price * Quantity

The total revenue in million dollars is,

\text{Total Revenue}=(50-5x^2)x

\text{Total Revenue}=50x-5x^3

The total cost in million dollars is,

Total Cost = One unit cost * Quantity

\text{Total Cost}=30x

Profit = Total Revenue - Total Cost

\text{Profit}=50x-5x^3-30x

The profit is 15 million.

15=20x-5x^3

5x^3-20x+15=0\\x^2-4x+3=0\\(x-1)(x^2+x-3)=0

The value of x is 1 and \frac{-1\pm \sqrt{13}}{2}.

The production is always positive therefore the value of x either 1 or 1.3. Since 1 million is not available in the options therefore the the correct optin is 1.3 million hoops.

4 0
1 year ago
Read 2 more answers
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