answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
castortr0y [4]
2 years ago
5

The quadratic model f(x)=-5x^2 +200 represents the approximate height, in meters, of a ball x seconds after being dropped. The b

all is 50 meters from the ground after about how many seconds
2.45
3.16
5.48
7.07
Mathematics
1 answer:
mel-nik [20]2 years ago
3 0

Answer:

Third option: 5.48

Step-by-step explanation:

Given the quadratic  model that represents the approximate height in meters of the ball f(x)=-5x^2 +200. the time in seconds x, when the ball is 50 meters from the ground can be calculated by substituting f(x)=50 and solving for x.

Then:

50=-5x^2 +200

Subtract 200 from both sides:

-200+50=-5x^2 +200-200\\-150=-5x^2

Divide both sides by -5:

\frac{-150}{-5}=\frac{-5x^2}{-5}\\30=x^2

Apply square root to both sides:

\sqrt{30}=\sqrt{x^2}\\\sqrt{30}=x\\5.48=x

The ball is 50 meters from the ground after about 5.48 seconds.

You might be interested in
A scatterplot consists of (1, 4.0), (2, 3.3), (3, 3.8), (4, 2.6), and (5, 2.7). The line of best fit used to model the data is y
zhenek [66]

Answer:

b

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
A pure acid measuring x liters is added to 300 liters of a 20% acidic solution. The concentration of acid, f(x), in the new subs
Natali5045456 [20]

Answer How many liters of a 20% acid solution should be mixed with 30 liters of 50% acid solution in order to obtain a 40% solution. ... x=15 liters 15*(.20 pure acid)=3 liters 30*(.50 pure acid)=15 liters That is 18 liters pure acid That is 45 liters solution *0.45 pure acid=18 liters.

As more pure acid is added, the concentration of acid approaches 0.

5 0
2 years ago
Read 2 more answers
Which expression can be used to find the price of a $400 telescope after a 32% markup? Select all that apply.
blagie [28]
<h3>Option D</h3><h3>The expression can be used to find the price of a $400 telescope after a 32% markup is: 400 + 400 (0.32 )</h3>

<em><u>Solution:</u></em>

Given that,

Price of telescope = $ 400

Mark up = 32 %

To find: Cost after mark up

The formula used is:

<h3>Cost after mark up = Price of telescope + 32 % of Price of telescope</h3>

Therefore,

Cost after mark up = 400 + 32 % of 400

\text{Cost after mark up } = 400 + \frac{32}{100} \times 400\\\\\text{Cost after mark up } = 400 + 0.32 \times 400\\\\\text{Cost after mark up } = 400 + 128\\\\\text{Cost after mark up } = 528

Thus cost after mark up is $ 528 and expression is 400 + 400 (0.32 )

7 0
2 years ago
F is between e and g, EF=7 and FG=6. find EG
irina [24]
------- (EF)
------   (FG)
------ + ------- =
6 + 7 =
13
7 0
2 years ago
Marissa wants to write an abbreviated set of directions for finding coordinates of a figure reflected across the y-axis. Which m
Sedaia [141]
The answer is the very first one! 
(x,y) --> (-x,y) 

It demonstrates a perfect reflection across the y-axis. 

Good Luck! 
7 0
2 years ago
Read 2 more answers
Other questions:
  • A container has the shape of an open right circular cone, as shown. The height of the container is 10 cm and the diameter of the
    11·1 answer
  • What is the end behavior of the graph of the polynomial function f(x) = 2x3 – 26x – 24?
    13·2 answers
  • The point (-3/5,y)in the third quadrant corresponds to angle θ on the unit circle.
    9·2 answers
  • in January the average low temperature in Montreal,Quebec,Canada, is 5.2f. the average low temperature in Cape Town South Africa
    8·2 answers
  • In 1992, George Brown started the Old Oregon Wood Store to manufacture Old Oregon tables. Each table is carefully constructed by
    14·1 answer
  • A gift bag shaped like a rectangular prism has a volume of 1152 cubic inches. The dimensions of the gift bag in terms of its wid
    7·1 answer
  • On a tour of an old gold mine, you find a nugget containing 0.82 ounce of gold. gold is worth $1566.80 per ounce. how much is yo
    6·1 answer
  • The parking spaces in a city lot were created by painting rows of parallel line segments, then painting a line that cuts through
    5·2 answers
  • F (7-3)2 x 7x+4 = 77, find the value of x.
    9·1 answer
  • Graphs of the following equations are straight lines except :
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!