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Naddika [18.5K]
3 years ago
10

keith is an elevator operator in a big hotel. A(t)A(t)A, left parenthesis, t, right parenthesis models Keith's altitude (in mete

rs relative to the ground) as a function of time (in minutes).Match each statement with the feature of the graph that most closely corresponds to it.

Mathematics
1 answer:
Lunna [17]3 years ago
3 0

Answer:

Step-by-step explanation:

A relative maximum (or minimum) point is a point that is higher (or lower) than all of the points surrounding it.

This graph has a relative minimum point where A(t)=-12A(t)=−12A, left parenthesis, t, right parenthesis, equals, minus, 12, which means that Keith's lowest altitude was \textit{12}12start text, 12, end text meters below the ground.

A positive (or negative) interval is a domain interval over which the function values are all positive (or negative).

Since A(t)>0A(t)>0A, left parenthesis, t, right parenthesis, is greater than, 0 over the interval [6.5,10][6.5,10]open bracket, 6, point, 5, comma, 10, close bracket, this is a positive interval. This means that between the \textit{6.5}6.5start text, 6, point, 5, end text- and \textit{10}10start text, 10, end text-minute marks, Keith was above the ground.

An increasing (or decreasing) interval is a domain interval over which the function values increase (or decrease) as the input variable increases.

In this graph, the interval, 5, point, 5, comma, 8, close bracket is an increasing interval. This means that between the   end text-minute marks, the elevator was going up.

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In the figure above, the measure of <BDE is 20 and CD is perpendicular to DE. What is the measure of <ADC ?​
notsponge [240]

Answer:

∠ ADC = 110°

Step-by-step explanation:

∠ CDE = 90° ( angle between perpendicular lines ) , then

∠ CDB + ∠ BDE = 90°

∠ CDB + 20° = 90° ( subtract 20° from both sides )

∠ CDB = 70°

∠ ADC and ∠ CDB are adjacent angles on a straight line and sum to 180° , so

∠ ADC + ∠ CDB = 180° , that is

∠ ADC + 70° = 180° ( subtract 70° from both sides )

∠ ADC = 110°

6 0
2 years ago
Decrease 1.25 km by 0.6%​
Anna35 [415]

Answer:

124250cm, 1242.5m or 1.2425km

Step-by-step explanation:

0.6% = 6/100

6/100 = 0.006

0.006*1.25 = 0.0075

1.25km = 1250m = 125000cm

0.0075km = 7.5m = 750cm

125000 - 750 = 124250

Therefore:

The answer is 124250cm, 1242.5m or 1.2425km

Sub to oTechz :)

4 0
2 years ago
Use substitution to solve the system of equations.
dusya [7]

Answer:

A

Step-by-step explanation:

1/2(2/3y) - 1/3y = 5

1/3y - 1/3y = 5

0 ≠ 5

No Solutions

These are linear equations and, when graphed, are parallel

7 0
2 years ago
The volume of a cube is 460cm3.<br> Work out the length of its side rounded to 1 DP.
yaroslaw [1]
The side length is the cube root of 460.

cube root(460) = 460^(1/3)
That's approximately 7.7
7 0
3 years ago
the average u.s. citizen throws away about 1,606 lb of trash each year. find this rate in pounds per month, to the nearest tenth
erik [133]

Answer:

The average U.S. citizen throws away about 133.8 pounds of garbage a month.

Step-by-step explanation:

First take the total amount of trash thrown away in a year (1,606), and divide it by the number of months in a year (12).

1,606 / 12 = 133.833333

You would get 133.833333 and would round it to the nearest tenth and get 133.8.

8 0
3 years ago
Read 2 more answers
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