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Svetradugi [14.3K]
2 years ago
8

A system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, si

nce it was dropped. Which constraint couldbe part of the scenario?A)The pool is 1 meter deep.B)The pool is 2 meters deep.C)The toy falls at a rate of at least a 1/2meter per second.D)The toy sinks at a rate of no more than a1/2 meter per second​

Mathematics
1 answer:
FrozenT [24]2 years ago
7 0

Answer:

Option A. is the constraint.

Step-by-step explanation:

The given question is incomplete without any attachment; here is the attachment with the answer.

From the given figure,

First inequality is y ≥ (-1)

[Bold red line with shaded area in red color]

Since blue line is dotted and passes through origin (0, 0) and (-2, 1) so the equation of the line will be y = mx

where m = slope of the line

Since m = \frac{y-y'}{x-x'}

             = \frac{1-0}{-2-0}=\frac{1}{-2}

Inequality showing the shaded area will be y

Solution of the set of inequalities is (2, -1)

Since pool is 1 meter deep and beyond this order pair the graph will be not continuous, so the constraint is A). The pool is 1 meter deep.

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Twelve times four squared.

This is how you would write the expression in word format.

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2 years ago
What does it mean to "model with mathematics"?
Sergeu [11.5K]

Answer:

See below.  To model with mathematics is to test ideas using math and computer programs to simulate an object or action.

Step-by-step explanation:

To "model with mathematics" means that equations and mathematical relationships will be employed to simulate an object or action instead of using the actual object or action.  One example would be the design of a roller coaster.  The forces inherent on a roller coaster design can be predicted using Newton's laws and other principles of physics.  F=ma may be used to predict the force pulling the car down the initial incline and that can be used to calculate speed at the bottom.  A change in the car's direction will also produce forces that may be calculated,  One might ask "Will this turn produce more force than the seat belt can safely handle?"  Rather than building a coaster and testing it with your business partner in the seat, a mathematical model can be used to determine the risks and maximum forces.  You'll have a much better chance of keeping your friend intact on the actual coaster.  Mathematical models are also used to predict weather, the impact of monetary policy of the economy, and even which Netflix movie you are most likely to enjoy.  The design of aircraft, ships, cars, and many other items are done using computer-aided design programs where the various forces can be modeled to determine optimum design without actually building the item.  This can save enormous amounts of time and money to be able to test ideas on the computer before starting actual assembly.

3 0
1 year ago
Determine the value of A <br> Solve it please
Vitek1552 [10]
A= 30
Explanation: 88-58=30
8 0
3 years ago
F(x) = 7|x| awnser the question for some points
Eddi Din [679]

f(x) = 7|x|

if x= 1

then f(x) = 7

5 0
2 years ago
Read 2 more answers
The graph of the equation $x + 2y + 3 = 0$ is perpendicular to the graph of the equation $ax + 2y + 3 = 0$. What is the value of
insens350 [35]

Answer:

a = -4.

Step-by-step explanation:

If the are perpendicular then the slope of one graph will be - 1 / slope of the other.

Convert each equation to slope-intercept form:

x + 2y + 3 = 0

2y = = -x - 3

y = (-1/2)x - 3/2 (Slope/intercept form)

So the slope of the line perpendicular to this  will be - 1 / (-1/2) = 2.

Consider the other line:

ax + 2y + 3 = 0

2y = -ax - 3

y = (-a/2) x - 3/2 (Slope/intercept form)

So the slope for this line    - a/2 and it equals 2.

-a/2 = 2

-a = 2*2 = 4

a = -4 (answer).

5 0
3 years ago
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