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Nataly_w [17]
3 years ago
5

An Astronaut drops a rock into crater on the moon. The distance,d(t), in meters, the rock travels after t seconds can be modeled

by the function d(t) = 0.8t. What is the average speed,in meters, per second,of the rock between 5 and 10 seconds after it was dropped?
Mathematics
1 answer:
OlgaM077 [116]3 years ago
4 0

speed =distance traveled over time taveled... the ansewr will be in kilometres per hour

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Max z = 3x1 + 5x2 subject to: 7x1 + 12x2 ≤ 136 3x1 + 5x2 ≤ 36 x1, x2 ≥ 0 and integer find the optimal solution. what is the valu
Reptile [31]
The second constraint is the same as the objective function, so your problem boils down to finding integer solutions to
.. 3x1 +5x2 = 36

There are 3 solutions. They are (x1, x2) = (12, 0), (7, 3), (2, 6)

The value of the objective function there is (obviously) 36.
4 0
3 years ago
Write an equation of the line in point slope form parallel to y=1/3x-5 through point (3,-7)
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Hmmm so, parallel lines have the same slope, so a line that's parallel to <span>y=1/3x-5, will also have the same slope as that one, what would that be anyway?    </span>\bf y=\stackrel{slope}{\cfrac{1}{3}}x-5 , well, low and behold, since that equation is in slope-intercept form already, we can see is just 1/3.
<span>
so, what is the equation of a line whose slope is 1/3 and runs through 3, -7?

</span>\bf \begin{array}{ccccccccc}&#10;&&x_1&&y_1\\&#10;%  (a,b)&#10;&&(~ 3 &,& -7~)&#10;\end{array}&#10;\\\\\\&#10;% slope  = m&#10;slope =  m\implies \cfrac{1}{3}&#10;\\\\\\&#10;% point-slope intercept&#10;\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-7)=\cfrac{1}{3}(x-3)\implies y+7=\cfrac{1}{3}(x-3)<span>
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5 0
3 years ago
Read 2 more answers
Jennifer makes 1.7 liters lemonade. If she pours 3 tenths of the lemonade in the glas,how many liters of lemonade are in the gla
german
You need to set up a portportation to solve this question to do so you need to know that 3 tenths is 30% so you can do:

30/100 = x/1.7

So now you cross multiply doing 30X17=510
Finially X=510/100
Simpified Answer is 5.1 liters
4 0
3 years ago
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If x = -2, which inequality is true?
Anettt [7]
It’s J, 3 - X would equal 3 - (-2) which turns into 3+2 which equals 5 but 5 is not greater than 10
4 0
3 years ago
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if angle 1 and angle 2 are vertical angles, angle 2 and angle 3 are complementary angles and the measure of angle 3 is 56 degree
dimulka [17.4K]

Answer:

34º

Step-by-step explanation: so basically you know a complementary angle is 2 angles that make a straight line and a vertical angle crosses which means 2 angles are congruent to each other so I drew a line that bisected the angle by drawing a line that cut through the right angle and i extended a line down from the right angle so now I have a vertical angle and a complementary so from here I labeled each angle <1 <2 <3  If I know angle 3 is 56º then I know 56 plus __ equals 90º I then subtracted 56 from 90 and I got 34 and since I am trying to figure out what angle 1 is I know that angle 1 and 2 are vertical angles therefore I know they are congruent to each other so <1 = 34º

6 0
3 years ago
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