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Alla [95]
3 years ago
6

The height of a falling object is given by h(t) = 400 − 39t − 157e−t/4 with h in meters and t in seconds. Assuming that the grou

nd is at height h = 0, how fast is the object moving at the instant it hits the ground? Your answer must be accurate to one decimal place.
Mathematics
1 answer:
Vlad1618 [11]3 years ago
5 0
This is the concept of algebra; given that the height of the house at time t is given by:
h(t)=<span> 400 − 39t − 157e−t/4
the velocity of the house is given by:
dh/dt
velocity of our object is:
dh/dt=-39+1/4*157e^-(t/4)
=-39+157/4 e^(-t/4)
thus the velocity at h=0 will be as follows:
at h=0, the value of t will be:
0=400-39t-157e^(-t/4)
solving for t we get:
t=-5.4 or t=10.1
since we don't have negative time, t=10.1
thus the velocity at this point will be:
dh/dt=-38+1/4*157e^(-10.1/4)
=-38.86 sec
this means that the object dropped by a velocity of 38.86 sec</span>
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5+25+125+625+3125+15625 rewrite each series using sigma notation
Trava [24]
1. You have that the series is: <span>5+25+125+625+3125+15625
 2. You must find the ratio (r) between the adjacent members. Then, you have:

 25/5=5
 125/25=5
 625/125=5
 3125/625=5
 15625/3125=5

 3. Therefore, the ratio is:

 r=5

 4. Then, each term has te form 5</span>^k. <span>So, you have:

 5</span><span>^1=5
</span> 5<span>^2=25
</span> 5<span>^3=125
</span> 5<span>^4=625
</span> 5<span>^5=3125
</span> 5<span>^6=15625

 5. As you can see, "k" goes from 1 to 6.

 6. The answer is shown in the image attached.</span>

8 0
3 years ago
What is the correct answer in significant figures for the calculation of a volume (in mL) with measured numbers 28.58 / 16 X 8.0
juin [17]

Answer: 0.2223mL

Step-by-step explanation:

Since the maximum significant figure in question is 4sf, our answer will be converted to 4sf.

Calculating 28.58/16×8.02 = 0.222377

= 0.2223mL to 4 significant figures

4 0
3 years ago
What is the midpoint of QR. Q(2,4) and R(-3,9)
Eduardwww [97]

Answer:

The answer is

( -  \frac{1}{2}  \: , \:  \frac{13}{2})  \\

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )\\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

Q(2,4) and R(-3,9)

The midpoint is

M = ( \frac{2 - 3}{2}  \:  , \:  \frac{9 + 4}{2} ) \\

We have the final answer as

( -  \frac{1}{2}  \: , \:  \frac{13}{2})  \\

Hope this helps you

6 0
3 years ago
Solve the following system of equations. Express your answer as an ordered pair in the format (a,
choli [55]
The second equation is <span>-5-2y=2, then
</span>
<span>-2y=2-(-5),
</span>
-2y=2+5,
-2y=7,
y=7÷(-2),
y=-3.5.
The first equation is 2x+5y=16, subtitude y=-3.5 in this equation, then
2x+5·(-3.5)=16,
2x-17.5=16,
2x=16-(-17.5),
2x=16+17.5,
2x=33.5,
x=33.5÷2,
x=16.75.
Answer: (16.75,-3.5)


8 0
3 years ago
Read 2 more answers
1.56 times 48 equals
Crank

Answer:

It equals 74.88

Step-by-step explanation:

U jus multiply them

5 0
3 years ago
Read 2 more answers
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