Answer:
The numbers of measure of music played are 1 and 7
Step-by-step explanation:
Given

Required
Solve for x when s = 80
Substitute 80 for x

Subtract 50 from both sides


Divide through by 10


Reorder

This can be split into
or 
Solve for x
or 
or 
Hence:
<em>The numbers of measure of music played are 1 and 7</em>
Answer:
The equation of a parallel line would be y = 2x + 4
Step-by-step explanation:
In order to find the equation of this line, we first have to note that paralell lines have same slopes. Therefore, since the original line has a slope of 2, we know the new line will have a slope of 2. Now we can use that information along with the given point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 8 = 2(x - 2)
y - 8 = 2x - 4
y = 2x + 4
The simplified expression of the provided equation in standard form is -2p²-11p-35. Option 1 is the correct option.
<h3>What is the simplified form of an expression?</h3>
Simplified form of an expression is the simplest way of expression the term, by applying the required operations of mathematics.
The expression which is need to be simplified is,

First of all, open the brackets, using the formula of whole square,

Hence, the simplified expression of the provided equation in standard form is -2p²-11p-35. Option 1 is the correct option.
Learn more about the simplified form here;
brainly.com/question/1597694
Use the depreciation formula.

Where 'p' is the principal value, 'r' is the rate it depreciates, and 'n' is the time. Just plug in what we know:

Simplify by subtracting:

Simplify the exponent:

Multiply:
Answer:
Please check the explanation.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the rate of change or slope
A hot air balloon is descending at a rate of 287 feet per minute.
Thus, the rate of change m = -287
The negative sign indicates that a hot air balloon is descending.
Let y be elevation.
Let x be the time (in minutes)
As there is no mentioning of the initial height.
Thus, the y-intercept b = 0
now substituting m = -287 and b = 0
y = mx + b
y = -287x + 0
y = -287x
In order to determine the total change in elevation of the balloon in 4 minutes, we need to substitute x = 4 in the equation y = -287x.
Thus, the total change in elevation of the balloon in 4 minutes will be:
y = -287x
y = -287(4)
y = -1148 feet
The negative sign indicates that that the elevation is decreasing.