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sineoko [7]
3 years ago
14

Order the numbers from least (top) to greatest (bottom). -9 -4 |-2| |-3| |-6| |1|

Mathematics
1 answer:
dexar [7]3 years ago
6 0

Answer:

-9, -4, |1|, |-2|, |-3|, |-6|

Step-by-step explanation:

-2,-3,-6 all are positive cause of absolute value

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A model rocket is launched with an initial velocity of 240 ft/s. The height, h, in feet, of the rocket t seconds after the launc
Setler [38]

Answer:

About 1.85 seconds and 13.15 seconds.

Step-by-step explanation:

The height (in feet) of the rocket <em>t</em> seconds after launch is given by the equation:

h = -16t^2 + 240 t

And we want to determine how many seconds after launch will be rocket be 390 feet above the ground.

Thus, let <em>h</em> = 390 and solve for <em>t: </em>

<em />390 = -16t^2  +240t<em />

Isolate:

-16t^2 + 240 t - 390 = 0

Simplify:

8t^2 - 120t + 195 = 0

We can use the quadratic formula:

\displaystyle x = \frac{-b\pm\sqrt{b^2 -4ac}}{2a}

In this case, <em>a</em> = 8, <em>b</em> = -120, and <em>c</em> = 195. Hence:

\displaystyle t = \frac{-(-120)\pm \sqrt{(-120)^2 - 4(8)(195)}}{2(8)}

Evaluate:

\displaystyle t = \frac{120\pm\sqrt{8160}}{16}

Simplify:

\displaystyle t = \frac{120\pm4\sqrt{510}}{16} = \frac{30\pm\sqrt{510}}{4}

Thus, our two solutions are:

\displaystyle t = \frac{30+ \sqrt{510}}{4} \approx  13.15 \text{ or } t  = \frac{30-\sqrt{510}}{4} \approx 1.85

Hence, the rocket will be 390 feet above the ground after about 1.85 seconds and again after about 13.15 seconds.

4 0
3 years ago
A rectangle is 6 centimeters long and 3 centimeters wide. What is its area
Nezavi [6.7K]

Lengh x width

6 x 3

=18

6 0
3 years ago
Read 2 more answers
68 823 617 round off to nearest 10​
k0ka [10]

Answer:

68 823 620

Step-by-step explanation:

if the last no. is 5 or above add 1 to the number after it and turn the original number into zero but if the last no. if below or 4 then keep it as it is and change the last no. to zero

8 0
3 years ago
Find the answer to 1/8 + 7/12
dangina [55]

Answer: 17/24

Step-by-step explanation: Notice that 1/8 and 7/12 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.

The common denominator of 8 and 12 will be the least common multiple of 8 and 12 which is 24. To get a 24 in the denominator of 1/8, we multiply the numerator and the denominator by 3 which gives us 3/24. To get a 24 in the denominator of 7/12, we multiply the numerator and the denominator by 2 which gives us 14/24. Now we're adding like fractions.

3/24 + 14/24

To add like fractions or fractions that have the same denominator, simply add the numerators and keep the original denominator.

So here, if we add the numerators we have 3 + 14 which gives us 17. We put this over our original denominator which is 24. So we have 17/24.

So 1/8 + 7/12 is 17/24.

6 0
3 years ago
Read 2 more answers
-6.3x+14 and 1.5x-6<br> answer in simplified form
koban [17]

Answer:

The simplified form of -6.3x+14 and 1.5x-6 is -4.8x+8

Step-by-step explanation:

We have to simplify the following

-6.3x+14 and 1.5x-6

it can be written as:

=(-6.3x+14) + (1.5x-6)

Adding the like terms

=(-6.3x+1.5x)+(14-6)

= (-4.8x)+(8)

= -4.8x+8

So, the simplified form of -6.3x+14 and 1.5x-6 is -4.8x+8

3 0
4 years ago
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