The circumference of a circle is 15π in. What is the area, in square inches? Express your answer in terms of \piπ.

Darren wanted to see how contagious yawning can be. To better understand this, he conducted a social experiment in which he yawn

denis23 [38]

Answer:

10.5 minutes

Step-by-step explanation:

Thinking about the problem

The modeling function is of the form P(t)=A⋅Bf(t), where B=4B=4B, equals, 4 and f(t)=\dfrac{t}{10.5}f(t)=

10.5

t

f, left parenthesis, t, right parenthesis, equals, start fraction, t, divided by, 10, point, 5, end fraction.

Note that each time f(t)f(t)f, left parenthesis, t, right parenthesis increases by 111, the quantity is multiplied by B=4B=4B, equals, 4.

Therefore, we need to find the ttt-interval over which f(t)f(t)f, left parenthesis, t, right parenthesis increases by 111.

Hint #22 / 3

Finding the appropriate unit interval

fff is a linear function whose slope is \dfrac{1}{10.5}

10.5

1

start fraction, 1, divided by, 10, point, 5, end fraction.

This means that whenever ttt increases by \Delta tΔtdelta, t, f(t)f(t)f, left parenthesis, t, right parenthesis increases by \dfrac{\Delta t}{10.5}

10.5

Δt

start fraction, delta, t, divided by, 10, point, 5, end fraction.

Therefore, for f(t)f(t)f, left parenthesis, t, right parenthesis to increase by 111, we need \Delta t=10.5Δt=10.5delta, t, equals, 10, point, 5. In other words, the ttt-interval we are looking for is 10.510.510, point, 5 minutes.

Hint #33 / 3

Summary

The number of people who yawned quadruples every 10.510.510, point, 5 minutes.

7 0

3 years ago

Ill give brainliest

andreev551 [17]

First, make sure that all the variables are in one side. The first equation is gonna be x-y=3

Second, we are going to eliminate the y because it is much easier, but you can also eliminate the x

We have to add both equation because the y in the first equation is negative and in the second equation it’s positive.

We are left with 3x=9

Therefore, x=3

Last, substitute x= 3 in one of the equations

Y=6

P.O.I is (3,6)

8 0

3 years ago

Shawn read 3/4 of a chapter of his history book in 1/6 of an hour at this rate how many chapters of his history book can he read

seropon [69]

One-sixth of an hour is 10 minute
10 minutes 3/4 chapter
Therefore, 10 minutes x 6= 3/4x6
Shawn can read 4.5 chapters in one hour

4 0

3 years ago

Please help mee, (30 points will give brainliest!!!)

Vadim26 [7]

Answer:

-4

+3

12

-0.5, 12.25

x = -0.5

Step-by-step explanation:

The x intercepts are the values of x when y = 0 ie the roots of the equation
$-x^2 -x +12 = 0$

or

$x^2 + x - 12 = 0$

We can re-write the above as:
(x+4) (x-3) = 0
This gives the two roots as x = -4 and x = +3. Leftmost (smallest) root is -4 and rightmost(largest) root is +3

y intercept is when x = 0. Plugging into the original equation, y value at x = 0 is 12

Vertex x value is given by the formula -b/2a where a is the coefficient of x^2 and b the coefficient of x

Here a = -1, b= -1 so vertex x value = - (-1)/(-1).2 = - 1/2 = -0.5

Plugging this value of x into the original function gives the vertex y value
$y = - (0.5^{2}) - (-0.5) + 12\\= -0.25 + 0.5 + 12 = 12.25$

The line of symmetry is the vertical line corresponding to the vertex x value so line of symmetry is at x = -0.5

The graph of the quadratic function shows these values

3 0

2 years ago

PLEASE HELP. I NEED HELP, I NEEEEEEED HELP

yuradex [85]

Answer:

1. r is point

2.PQ is ray

3. pr is line

4. p.q,r is collnear points

5. QR is segment

6 0

3 years ago