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Vadim26 [7]
2 years ago
12

Evaluate for m = 2 and n = –3 a) 5m – n b) n2 ÷ m2

Mathematics
1 answer:
nataly862011 [7]2 years ago
6 0

Answer:

a

Step-by-step explanation: trust

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Super Dave Osborne stands at the bottom of a canyon elevation 256 feet below sea level, he throws a piano up at a velocity of 3
fgiga [73]

Answer:

The piano was in the air for 18.34 seconds.

Step-by-step explanation:

The height of the piano after t seconds is given by the following equation:

f(t) = -16t^{2} + 320t - 256

Initially, the piano is below the ground level. At the first root of the equation, it will go into the air, and then some time after that it will fall down again, which is at the second root of the equation.

Roots of a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

f(t) = -16t^{2} + 320t - 256

So

a = -16, b = 320, c = -256

\bigtriangleup = (320)^{2} - 4*(-16)*(-256) = 86016

t_{1} = \frac{-320 + \sqrt{86016}}{2*(-16)} = 0.8348

t_{2} = \frac{-320 - \sqrt{86016}}{2*(-16)} = 19.17

Subtracting:

19.17 - 0.8348 = 18.34

The piano was in the air for 18.34 seconds.

6 0
3 years ago
Please help asap 25 points
Sever21 [200]

it is greater because it is above the line

it is not equal to because the line is dotted

the y intercept is 2

y >mx+2

Choice C

8 0
3 years ago
Read 2 more answers
Find slope of a line using points (2,0) and (4,3)
Lilit [14]
The slope of the line would be 3/2 because the slope formula would be y2-y1/x2-x1 so 3-0=3 and 4-2=2 so 3/2

Hope this helps

Have a great day/night

Feel free to ask any questions
4 0
3 years ago
A bottling company uses a filling machine to fill plastic bottles with a popular cola. The bottles are supposed to contain 300 m
Lana71 [14]

Answer:

0.16

Step-by-step explanation:

For a normal distribution, the 68-95-99.7 rule says that 68% of the distribution lies within 1 standard deviation from the mean, 95% within two standard deviations and 99.7% within three standard deviations.

From the question,

Mean μ = 298 ml

Standard deviation σ = 3 ml

A value of 295 ml is within one standard deviation = 68%.

Since it's on the lower side, it's within 68% ÷ 2 = 34%.

The lower half below the mean is 50% of the distribution. Hence, for a selection less than 1 standard deviation, the probability is

50% - 34% = 16% = 0.16

5 0
3 years ago
Helppp!
lilavasa [31]

Answer:

It's the the 4th one. 6.3.3

5 0
1 year ago
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