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VLD [36.1K]
2 years ago
13

The quadratic function h(t)=-16.1t^2 + 150 models a balls height, in feet, over time, in seconds, after it is dropped from a 15

story building. From what height, in feet, was the ball dropped?
Mathematics
1 answer:
RideAnS [48]2 years ago
8 0

The ball is dropped from a building and the quadratic function which models the ball`s height is:

h ( t ) = - 16.1 t² + 150

We can find the initial height if we calculate h ( 0 ), or the height for : t = 0 sec.

h ( 0 ) = -16.1 · 0² + 150 = 0 + 150 = 150 ft

Answer:

The ball was dropped from 150 feet.

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An editor has a stack of k documents to review. The order in which the documents are reviewed is random with each ordering being
ladessa [460]

Using the probability concept, it is found that there is a \mathbf{\frac{1}{k}} probability that “Relaxation Through Mathematics” is first to review.

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem:

  • There is a total of k documents to be reviewed, hence T = k.
  • Of those documents, 1 is named “Relaxation Through Mathematics”, hence D = 1

The <em>probability </em>is:

p = \frac{D}{T} = \frac{1}{k}

A similar problem is given at brainly.com/question/24483829

8 0
2 years ago
Two solid metal spheres have masses of 5 kg and 135 kg respectively. If the radius of the smaller one is 4 cm, find the radius o
Cerrena [4.2K]

Answer: 12 cm

Step-by-step explanation:

The masses of the spheres are proportional to their volums, and the cube of the ratio is k^3=135/5=27 ==> k=3

The greater radius is 3*4=12 (cm)

8 0
2 years ago
Given f(x)= 2x²+4x-6 and g(x)=2x-2, find each function
valkas [14]
F(x)= 2x²+4x-6 and g(x)=2x-2, find each function
1. (f/g) (x) = f(x)÷g(x) = (2x²+4x-6)÷(2x-2)
First factor both top and bottom:
(2x-2)(x+3)÷(2x-2) = x+3

2. f(a + 2) = plug (a+2) in anywhere there is an x in f(x)=2x²+4x-6 -->
2(a+2)^2 +4(a+2)-6 = 2(a^2+4a+4)+4a+8-6, now distribute:
2a^2+8a+8+4a+2, combine like terms
2a^2+12a+10

3. g(a/2) = plug (a/2) in anywhere there's an x in g(x)=2x-2:
2(a/2)-2 = a-2
5 0
3 years ago
A store is selling five cans of tomato sauce for $5.25. What is the unit price?
Svetach [21]
The unit price is tantamount to saying the price of each. For this item, we are asked to determine the price of each can. Thus, it can be determined by dividing the price to number of cans.
                           $5.25 / 5 = 1.05
Thus, each can of tomato sauce costs $1.05. 
8 0
3 years ago
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