The correct answer is (-7/2,-1/2) or (-3.5,-0.5) To find the midpoint of a segment, add both "x" coordinates, divide by 2. Then add both "y" coordinates, and divide by 2

4 0

3 years ago

orest fire covers 2008 acres at time t equals 0. The fire is growing at a rate of 8 StartRoot t EndRoot acres per hour, where t

AveGali [126]

Answer: There are 2635 acres covered 24 hours later.

Step-by-step explanation:

Since we have given that

At time t = 0, number of acres forest fire covers = 2008 acres

We first consider the equation:

$A=\int\limits^t_0 {8\sqrt{t}} \, dt\\\\A=8\dfrac{t^{\frac{3}{2}}}{\frac{3}{2}}+C\\\\A=\dfrac{16}{3}t^{\frac{3}{2}}+C$

At t=0, A= 2008

So, it becomes,

$2008=C$

So, now it becomes,

$A=\dfrac{16}{3}t^{\frac{3}{2}}+2008\\\\At\ t=24,\\\\A=\dfrac{16}{3}(24)^{\frac{3}{2}}+2008\\\\A=2635.06$

Hence, there are 2635 acres covered 24 hours later.

6 0

3 years ago

Linear function g is shown in the graph. Write the slope-intercept form of the equation representing this function.

jenyasd209 [6]

Answer:

y = -2x + 1

Step-by-step explanation:

First, find the slope with rise/run (y2 - y1) / (x2 - x1)

We can use the points (-1, 3) and (0, 1)

Plug in the points:

(1 - 3) / (0 + 1)

-2/1

= -2

The y-intercept is (0, 1) because that is the point where the line intercepts the y axis. So, we can plug in the slope and y-intercept into the equation:

y = mx + b

y = -2x + 1

8 0

3 years ago

Read 2 more answers

Charlie has 5 times as many stamps as Ryan. They have 1,608 stamps in all. How many more stamps does Charlie have than Ryan ?

Olegator [25]

Charlie has 1072 more stamps than ryan. This is because if x represents the amount of stamps that ryan has, then 5x represents how many charlie has. set up an equation, and you get 5x+x=1608, because all together they have 1608. Then collect(combine) like terms and you get 6x=1608. Divide both sides by 6 and you get x=268. Therefore ryan has 268 stamps, and charlie has 5x268 stamps, or 1340 stamps, and to get how many for charlie has, subtract his by ryan's, and you get 1340-268=1072

7 0

3 years ago