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Anit [1.1K]
3 years ago
15

Arrange the following numbers in order fromleast to greatest.3.5, -1/4,-2 3/4 0,1​

Mathematics
1 answer:
Rama09 [41]3 years ago
3 0

Answer:

-2, -1/4, 0.1, 3/4, 3.5

Step-by-step explanation:

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Expand and combine like terms.<br> (3c^4-5c^6)^2
lora16 [44]

Answer:

9c^{8} -30c^{10} + 25c^{12}

Step-by-step explanation:

We can use formula (a-b)² = a² -2ab + b².

In our example a = 3c^4 and b = 5c^6

(3c^{4} - 5c^{6})^{2} = [3c^{4} ]^{2} - 2*3c^{4} *5c^{6} + [5c^{6}]^{2}=\\=9c^{8} -30c^{10} + 25c^{12}

4 0
3 years ago
You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=−11x+330, wher
Mars2501 [29]

Answer:

1) Please find attached, the graph of the function

The domain of the function is 0 ≤ x ≤ 30

The range of the function is 330 ≥ x ≥ 0

2) The slope of the given equation, shows that the elevation decreases, by (-)11 feet for each increase in time by one second

3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds

The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds

Step-by-step explanation:

1) The function modelling the height of the balloon is h(x) = -11x + 330

Where;

x = The time of elevation of the balloon

The data for the graphing derived from Microsoft Excel are as follows

x    {}   h(x)

0    {}   330

5    {}   275

10    {}  220

15    {}  165

20    {}  110

25    {}  55

30    {}   0

Please find attached, the graph of the function

The domain of the function is 0 ≤ x ≤ 30

The range of the function is 330 ≥ x ≥ 0

Comparing the given function to the general equation of a straight line, y = m·x + c, we have that the slope, m = -11

2) The slope of a straight line graph gives the rate of change of the dependent variable, per unit change in the independent variable

Therefore, the slope of the given equation, -11 gives the rate of change of the function per unit increase in the independent variable x

Therefore, the elevation decreases, by (-)11 feet for each increase in time by one second

3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds

The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds

8 0
2 years ago
Read 2 more answers
The measure of one angle of a right angle is 50 more then the measure of the smallest angle
Nataly_w [17]

Answer:

70° and 20°

Step-by-step explanation:

let x be the measure of one angle then x + 50 is the measure of the other angle, thus

x + 50 + x = 90

2x + 50 = 90 ( subtract 50 from both sides )

2x = 40 ( divide both sides by 2 )

x = 20

The smallest angle is 20° and the other angle is 20 + 50 = 70°

5 0
3 years ago
HELP?<br><br> 7-15 please :) show work<br> thank you!
Alexus [3.1K]

Answer:

7. x = 3

Step-by-step explanation:

To find the value of x, use the triangle sum property. Every triangle has interior angles which add to 180 degrees. To solve, add the expressions and numbers together then set equal to 180. Then use inverse operations to solve for x.

7. 20x - 9 + 10x + 9 + 90 = 180             Subtract 90 from both sides.

   20x - 9 + 10x + 9 = 90                       Add -9 + 9 = 0

   20x + 10x = 90                                  Add like terms 20x + 10x = 30x

   30x = 90                                            Divide both sides by 30.

        x = 3

Repeat this process for each problem.

7 0
3 years ago
Find the midpoint of the line segment with end points (-9,3), (5,11)
denis-greek [22]

Answer:

The midpoint is (-2,7)

Step-by-step explanation:

To find the x coordinate of the midpoint, take the x coordinates of the endpoints, add them and divide by 2

(-9+5)/2 = -4/2 =-2

To find the y coordinate of the midpoint, take the y coordinates of the endpoints, add them and divide by 2

(3+11)/2 = 14/2 = 7

The midpoint is (-2,7)

8 0
3 years ago
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