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
lisabon 2012 [21]
2 years ago
10

The height of an object after it is released can be modeled by the function f (x) = negative 16 t squared v t s, where t is the

number of seconds after the object is released, v is the upward speed in feet per second at release, and s is the starting height in feet. if a quarterback throws a ball from his hand 6 feet in the air at an upward speed of 25 feet per second, how much time does his teammate have to catch the ball?
Mathematics
1 answer:
kodGreya [7K]2 years ago
5 0

The amount of time his teammate have to catch the ball is equal to 1.774 seconds.

<u>Given the following function:</u>

  • f(x) = -16t² + vt + s.
  • Displacement, s = 6ft.
  • Velocity, v = 25 ft/s.

<h3>How to calculate the amount of time?</h3>

In order to determine the amount of time his teammate have to catch the ball, we would evaluate the given position-time function as follows:

f(t) = -16t² + 25t + 6.

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c =0

Where:

a = -16.

b = 25.

c = 6.

Solving the function by using the quadratic formula, we have:

t = [-b ± √(b² - 4ac)]/2a

t = [-25 ± √[(25² - 4(-16)(6))]/2(-16)

t = [25/32 ± (-1/32)√1009]

t = 25/32 ± (-0.993)

t = 0.781 ± 0.993

t = 0.781 + 0.993

Time, t = 1.774 seconds.

Note: We ignored the negative value because time cannot be negative.

Read more on quadratic equation here: brainly.com/question/1214333

You might be interested in
XD me banearon de nuevo pero regrese igualmente no me pueden moderadores.
aleksandrvk [35]

Answer:

yeah what you said

7 0
3 years ago
According to the National Vital Statistics, full-term babies' birth weights are Normally distributed with a mean of 7.5 pounds a
Sav [38]

Answer:

68.26% probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 7.5, \sigma = 1.1

What is the probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds

This is the pvalue of Z when X = 8.6 subtracted by the pvalue of Z when X = 6.4. So

X = 8.6

Z = \frac{X - \mu}{\sigma}

Z = \frac{8.6 - 7.5}{1.1}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 6.4

Z = \frac{X - \mu}{\sigma}

Z = \frac{6.4 - 7.5}{1.1}

Z = -1

Z = -1 has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

68.26% probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds

6 0
3 years ago
Factorise by grouping: x² - 5x + 2x - 10
IrinaK [193]

Answer:

(x + 2)(x - 5)

Step-by-step explanation:

Here are the steps:

x^2-5x+2x-10\\(x^2-5x)+(2x-10)\\x(x-5) + 2(x-5)\\(x + 2)(x-5)

4 0
3 years ago
Rewrite the expression in the form z^n
il63 [147K]

Answer:

f=regrfdfdgfgsghgs

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the result when 5m+ 2 is subtracted from 9m.
lisabon 2012 [21]

Answer:

4m - 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Properties

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

9m - (5m + 2)

<u>Step 2: Simplify</u>

  1. Distribute negative:                    9m - 5m - 2
  2. Combine like terms:                   4m - 2
4 0
2 years ago
Other questions:
  • A function of x is two less than twice a number. What is f(3)
    9·1 answer
  • Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.
    6·1 answer
  • Based on the probabilities of events M and N, which statement is true? HURRY PLEASE!
    5·1 answer
  • What is the point slope equation of the line that has a slope of -5 and goes through the points (-4,9)
    13·1 answer
  • A student concluded that the solution to the
    9·1 answer
  • Exponential functions algebra 1
    15·1 answer
  • What’s the answer????
    10·1 answer
  • What do I do to answer
    14·1 answer
  • Given the functions f(×)=-×2+9 and g(×)=6-2×
    9·1 answer
  • Find the probability of each event.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!