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
maw [93]
3 years ago
14

On a vacation in Puerto Rico rose jumped off a cliff into a river in El Yunque go forest reserve her height as a function of tim

e could be modeled by the function h(t) = -16tequals -16t ^2 + 16t + 480, where T is the time after jumping in seconds and H is the height in feet how many seconds did it take Rose to hit the water
Mathematics
1 answer:
gayaneshka [121]3 years ago
6 0

Answer: t = 6 s

Step-by-step explanation:

When Rose hit the water, the height of the jump is 0, so: h(t) = 0.

Resolving it, we have:

-16t² + 16t + 480 = 0

To simplify the second degree equation, divided it by 16:

-t² + t + 30 = 0

Now, solve the equation using Bhaskara:

Δ = 1² - 4. (-1) . 30

Δ = 1 + 120

Δ = 121

t = \frac{-1+\sqrt{121} }{-2}

t₁ = \frac{-1 + 11}{-2} = - 5

t₂ = \frac{-11-11}{-2} = 6

Since time can be negative, it took t = 6s for Rose to hit the water.

You might be interested in
Which pair of angles are supplementary?
Lina20 [59]

Supplementary angles are angles that add up to 180 degrees, aka one straight line. The supplementary angles here are:

1 and 2, 1 and 3, 2 and 4, 3 and 4, 5 and 6, 6 and 8, 7 and 8, and 6 and 7. Well, those are the more obvious ones. 1 and 7 are supplementary because if you envision them next to each other, you’ll see that they create a straight line. So, with that logic, 3 and 5 are supplementary because when you put them together, they create a straight line

3 0
3 years ago
Which Graph Represents The solution set of this inequality?
Alex

Answer:

B

Step-by-step explanation:

1. In order to determine the inequality, you must first solve the solution set to determine what x is less than.

So you would do this:

1 + 2x < 9             Subtract 1

2x < 8                  Divide by 2

x < 4

2. Next, you need to understand the difference between an open circle and a closed circle shown on the solution sets.

An open circle is equal to the following inequalities:

<, >

A Closed circle represents inequalities in situations such as:

greater than or equal to, or less than or equal to

3. Because the inequality above represents only less than or greater than the inequality sets should have an open circle being used.

Since x is less than 4 it should be moving to the left of the line inequality set.

5 0
2 years ago
Consider the numbers 4/15 and 3/10 (a) Compare the numbers. (B) find a fraction between the two given numbers
valentinak56 [21]
As a decimal 4/15 = 0.2666667
As a decimal 3/10 = 0.3 [talk about close]
3/10 is bigger.

You could take an average to find something between 4/15 and 3/10
1/2(4/15 + 2/10)
1/2(8/30 + 6/30)
1/2(14/30)
1/2(7/15)
7/30 is between the two given numbers..
5 0
3 years ago
Choose the equation that best represents the general form of the following expression. x^2/2 = 7x. - x2 + 14x + 0, x2 + 14x = 0,
kogti [31]
Cross multiplying we get
x^2 = 2*7x
x^2 = 14x
x^2 - 14x = 0  is the answer
6 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=4%20%20%20%7B%7D%5E%7Bx%20%7D%20%20%2B%206%20%7B%7D%5E%7Bx%7D%20%3D%209%20%7B%7D%5E%7Bx%7D%20%
Nookie1986 [14]

So, the value of x is 1.19

The question is an exponential equation

<h3>What is an exponential equation?</h3>

An exponential equation is a mathematical expression between two quantities in which one variable is raised to a power of the other variable.

<h3>How to find x?</h3>

Since 4^{x} + 6^{x} = 9^{x},

Dividing through by 4ˣ, we have

\frac{4^{x} }{4^{x} } + \frac{6^{x} }{4^{x} }  = \frac{9^{x} }{4^{x} } \\1 + (\frac{6}{4})^{x} }  = (\frac{9}{4})^{x} } \\1 + (\frac{3}{2})^{x} }  = (\frac{3^{2} }{2^{2} })^{x} } \\1 + (\frac{3}{2})^{x} }  = (\frac{3}{2})^{2x} }

Let y = (3/2)ˣ

So,

1 + y = y²

y² - y - 1 = 0

Using the quadratic formula to find y,

y = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}

where a = 1 b = -1 and c = -1

Substituting the values of the variables into the equation, we have

y = \frac{-(-1) +/- \sqrt{(-1)^{2} - 4\times 1 \times (-1)} }{2\times 1}\\= \frac{1 +/- \sqrt{1 + 4} }{2}\\= \frac{1 +/- \sqrt{5} }{2}\\= \frac{1 - \sqrt{5} }{2} or  \frac{1 + \sqrt{5} }{2}\\= \frac{1 - 2.236}{2} or  \frac{1 + 2.236}{2}\\= \frac{- 1.236}{2} or  \frac{3.236}{2}\\= -0.618 or 1.618

Since y = (3/2)ˣ

Takung logarithm of both sides, we have

㏒y = ㏒(3/2)ˣ

㏒y = x㏒(3/2)

x = ㏒y/㏒(3/2)

x = ㏒y/㏒1.5

Since we do not have logarithm of a negative number, we use y = 1.618.

So, x = ㏒y/㏒1.5

x = ㏒1.618/㏒1.5

x = 0.2090/0.1761

x = 1.19

So, the value of x is 1.19

Learn more about exponential equation here:

brainly.com/question/11832081

#SPJ1

5 0
1 year ago
Other questions:
  • What is the sum of the measures of &lt;A and &lt;B?​
    14·2 answers
  • 1) Write the equation of a line with m = 3 and y-intercept is 5 in slope intercept
    9·1 answer
  • If 4 × 8 = 32, then 32 divided by 8 must equal ___
    13·1 answer
  • How does finding the greatest common factor help you solve real-world problems
    7·1 answer
  • Solve the inequality 2(x-6)&lt;1/2 (12x-8) neeed help
    15·1 answer
  • Burton Bush wants to retire in Arizona when he is 80 years of age. Burton, who is now 55, believes he will need $400,000 to reti
    10·2 answers
  • What is the domain and range for c=1738+328q
    9·1 answer
  • Which vertex in XYZ corresponds vertex b in ABC
    6·1 answer
  • PLEASE HELP WITH THIS MATH PROBLEM​
    11·1 answer
  • Michael took 12 tests in his math class
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!