1answer.
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
MArishka [77]
3 years ago
15

A ball is hurled in the air such that its horizontal (x) and vertical (y) shifts are given by the functions x(t) = 20t and y(t)

= 40t − 5t2, where x and y are in meters and the time t is in seconds. What is the ratio of y to x at time t = 5 seconds?
0.25


0.50


0.75


0.85
Mathematics
1 answer:
Viefleur [7K]3 years ago
7 0

x(t) = 20t

y(t) = 40t - 5t^2

Since we are only interested in comparing the two at time t = 5 seconds, we plug in 5 everywhere we see the variable t and then compare x and y

x(5) = 20(5) becomes x(5) = 100

y(5) = 40(5) - 5(5)^2 becomes y(5) = 200 - 125 and then y(5) = 75

The ratio of y to x can be expressed as: y/x, so we can say the ratio is equal to 75/100 or 0.75

Answer: 0.75

You might be interested in
If 18 inches is equal to 1 1/2, how many feet long is a 36-inch board?
Illusion [34]
36 inches is equal to 3 feet ;)
8 0
2 years ago
What is the relationship between the number of vertices in each polygon and the number of isosceles triangles?
melisa1 [442]

no. of vertices = no. of isosceles triangle

5 0
2 years ago
Read 2 more answers
Question 1:
Dominik [7]
14+2x=62        (x=Pass cost)
-14        -14
(2x=48)/2
x=24

6.50+5.75+1.15x=18
12.25+1.15x=18
-12.25          -12.25
1.15x=5.75 divide both sides by 1.15
x=5

5 0
3 years ago
Determine the value of x.
DanielleElmas [232]

Answer:

A) 44.78

Step-by-step explanation:

4 0
2 years ago
21 is what percent of 40?
elena-s [515]

1. We assume, that the number 40 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 40, so we can write it down as 100%=40.

4. We know, that x% equals 21 of the output value, so we can write it down as x%=21.

5. Now we have two simple equations:

1) 100%=40

2) x%=21

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=40/21

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.


7. Solution for 21 is what percent of 40


100%/x%=40/21

(100/x)*x=(40/21)*x       - we multiply both sides of the equation by x

100=1.90476190476*x       - we divide both sides of the equation by (1.90476190476) to get x

100/1.90476190476=x

52.5=x

x=52.5


now we have:

21 is 52.5% of 40

6 0
2 years ago
Read 2 more answers
Other questions:
  • A number n is less than or equal to -7 or greater than 12.
    11·2 answers
  • Help me please thanks
    10·2 answers
  • What is the measure of a°<br><br>PLEASE HELP! show work if possible
    12·1 answer
  • Use square roots to solve the<br>equation x2 = -121 over the<br>complex numbers.​
    10·1 answer
  • 5 times the sum of p and r<br><br> A.5(p+r)<br> B.5p+r<br> C.5pr<br> D.5+p+r
    13·2 answers
  • Ex: Neckwear association reported 3% of ties sold in the US are bow ties. If 4 customers purchased a tie, find the probability t
    7·1 answer
  • Help ASAP. A carpenter builds a ramp from the level ground to a platform that is 2 ft high. If the length of the ramp is 8 ft 6
    7·1 answer
  • Divide rupees 10,000 between A and B in the ratio 3:2
    10·1 answer
  • If f(x)=5(2)x , what is f(3)?
    12·1 answer
  • Im dying bro help The vertices of a quadrilateral are (2, 3), (3, 8), (7, 5), and (6, 2). Draw the quadrilateral in the coordina
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!