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olasank [31]
2 years ago
13

David is throwing a stone in the air at an angle from the ground with an initial velocity of 30 feet per second. The equation gi

ves the height of the stone thrown. Find the maximum height of the stone.
(SHOW WORK)
Mathematics
1 answer:
Shtirlitz [24]2 years ago
7 0

Answer:

42 feet.

Step-by-step explanation:

h=-10t² + 40t +2

The vertex of the quadratic function described by the equation is located at

 t = -(40)/(2(-10)) = 2

Next is to find the value of height at t=2 will be

 h = -10(2²) +40(2) +2 = -40 +80 +2 = 42feet

The maximum height is 42 feet.

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A science class is tracking the progress of plant growth. The class starts the experiment with a plant five centimeters high. Th
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Answer: the y-intercept is the starting height of the plant

Step-by-step explanation:

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1 year ago
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4. A cruise ship travels in the direction of 55degrees for 40 miles, then changes course to a direction of 100 degrees for 35 mi
olga2289 [7]

Answer:

69.3 mi

Step-by-step explanation:

Let x represent the distance of the ship from its original position.

x²= 40² + 35² -2(40)(35)cos(135)

x^{2} =4804.9

\sqrt{x} ^{2}  = \sqrt{4804.9}

x= 69.3 mi

8 0
1 year ago
Which of the following statements must be true in order for the line represented by the equation y = mx + b to have a negative x
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First option: <span>The signs of the values of m and b are the same.</span>
6 0
2 years ago
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Three judges measure the lap times of a runner and each measurement is different from the others by a few hundredths of a second
ohaa [14]

Answer:

Systematic error

Step-by-step explanation:

Assuming that none of the judges are biased, the most likely reason for this difference is the occurrence of systematic errors.

Systematic errors are errors introduced by inaccuracy in the experimental design, be it in the observation or measurement process.

In this case, the reaction time from observing the finish and stopping the clock for each judge might be different, which configures a systematic error.

6 0
1 year ago
The Helheim glacier in Greenland enters the ocean in a 6.3 kilometer wide fjord. The terminus of the glacier retreated 7.5 kilom
vladimir1956 [14]

Answer:

7.56 km²

Step-by-step explanation:

Given data:

Width of the fjord, w = 6.3 km

Retreated terminus of the glacier between may 2001 and June 2005, d = 7.5 km

thus, the length lost , y = 7.5 - 6.3 = 1.2 km

now, the area is given as:

A = Length × width

on substituting the values, we get

A = 1.2 × 6.3

or

A = 7.56 km²

Hence, the surface area lost by the glacier in the fjord is 7.56 km²

7 0
2 years ago
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