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
raketka [301]
3 years ago
8

An astronaut drops a rock into a crater of the moon. The distance, d(t), in meters, the rock travels after t seconds can be mode

led by the function d(t)=0.8t^2. What is the average speed, in meters per second, of the rock between 5 and 10 seconds?
Mathematics
1 answer:
ASHA 777 [7]3 years ago
4 0
The average rate of change of the position of an object with respect to time is the average speed of the object, so to find the average speed of the rock over the interval [5,10], we are going to use the average rate of change formula: V(t)= \frac{d(b)-d(a)}{b-a} 
where
V(t) is the average rate of change (the speed)
d(a) is the position function evaluated at a
d(b) is the position function evaluated at b
a is the first point in the interval
b is the second point in the interval 

We know for our problem that the first point in the interval is 5 and the second point is 10, so a=5 and b=10. Lets replace those values in our formula:
V(t)= \frac{d(b)-d(a)}{b-a}
V(t)= \frac{d(10)-d(5)}{10-5}
V(t)= \frac{0.8(10^2)-0.8(5^2)}{10-5}
V(t)= \frac{80-20}{5}
V(t)= \frac{60}{5}
V(t)=12

We can conclude that the speed of the rock between 5 and 10 seconds is 12 meters per second.
You might be interested in
PLEASE HELP! SEE THE IMAGES BELOW! 30 POINTS
Mkey [24]

Answer:

d for the first and c for the second

Step-by-step explanation:

1. both are solid lines so it is or equal to something. the first line is going down by -3 and crosses the y axis at -3 so it is _>_ - 3x-3

the second line is going down at -1/2 and crosses the y axis at 2 so it is       _<_ -1/2x+2


2. The point where the two lines cross is at (2.5, -6.5)

6 0
3 years ago
In ΔRST, the measure of ∠T=90°, the measure of ∠R=39°, and TR = 55 feet. Find the length of ST to the nearest tenth of a foot.
kolbaska11 [484]

<u>Answer:</u>

<h2>ST = 44.54 ft</h2>

<u>Explanation:</u>

given:

∠T=90° , ∠R=39° and TR = 55 ft

ST = 55×tan(39)

ST = 55×0.80..

ST = 44.54 ft

7 0
3 years ago
A town in east Texas recieved 10 inches of rain in two weeks. If it kept raining at this rate for a 31-day month, how much rain
Gelneren [198K]
The best way to approach this problem is to find out how much fell in week. As you know what two weeks is, you simply have to halve this, giving you that one week is 5 inches of rain. One you have this, you can multiply this by 4 (as this will give you 4 weeks, or 28 days), and this gives you 20 inches in 28 days. You should then find the odd three days. If you divide 5 by 7, this will give you the rain fall in one day. 5/7= 0.8 inches per day. You then have top multiply this by 3 (as you've got three odd days), and this gives you 2.4. You then have to add together 2.4 and 20, giving you 22.4
Therefore, if the rain continued to fall at the same rate for 31 days, it would receive 22.4 inches of rain.
Hope this helps :) 
8 0
3 years ago
Which of the following rational numbers is equal to 2 point 8 with bar over 8 ? twenty two over nine, twenty four over nine, twe
alina1380 [7]
Just to remove ambiguities, the bar over the expression means it's repeating itself to infinity.

\bf 2.888\overline{8}\impliedby \textit{now say, let's make }x=2.888\overline{8}&#10;\\\\\\&#10;\textit{and multiply it by 10, to move over the 8 to the left}&#10;\\\\\\&#10;\begin{array}{llll}&#10;10x&=&10\cdot 2.888\overline{8}\\&#10;&&28.88\overline{8}\\&#10;&&26+2.888\overline{8}\\&#10;&&26+x&#10;\end{array}\implies 10x=26+x&#10;\\\\\\&#10;9x=26\implies x=\cfrac{26}{9}

notice, the idea being, you multiply it by 10 at some power, so that you move the "recurring decimal" to the other side of the point, and then split it with a digit and "x".

now, you can plug that in your calculator, to check what you get.
4 0
3 years ago
Read 2 more answers
2 of 6
Kryger [21]

Answer:

£2112

Step-by-step explanation:

To find Gavin's share, sum the parts of the ratio, 4 + 1 = 5 parts

Divide the win by 5 to find the value of one part of the ratio.

£8800 ÷ 5 = £1760 ← value of 1 part of ratio, thus

4 parts = 4 × £1760 = £7040 ← Gavin's share

Now repeat the process with the ratio for his family

1 + 6 + 3 = 10 parts

£7040 ÷ 10 = £704 ← value of 1 part of the ratio, thus

6 × £704 = £4224 ← wife's share

3 × £704 = £2112 ← son's share

Difference = £4224 - £2112 = £2112

Thus his wife gets £2112 more than the son

4 0
3 years ago
Other questions:
  • which rate can you set 7 miles over 1 hour equal to in order to find the distance traveled in 49 hours at 7 miles per hour
    14·1 answer
  • Put in order by least to greatest. 1,0.7,1/10​
    11·2 answers
  • Help with this task it's confusing can u explain how you got the answer
    8·1 answer
  • How often are the hands of the clock at right angle everyday?
    7·2 answers
  • Find the midpoint of the line segment joining points A and B.
    9·1 answer
  • Graph the lines 2x=-y+7 and 2y=-4x+10. What is the solution?
    15·2 answers
  • (3x-7)+(4x-8) what is the sum of this question pls
    13·2 answers
  • Each time Shelley goes tobthe store she likes to buy gum.She buys one pack for $1.00 and then another pack for $0.50 more.How mu
    12·1 answer
  • If p represents a number between 2 and 4 and q represents a number between 10 and 20, then q/p represents a number between...
    7·1 answer
  • Choose the most convenient method to graph the line y=−3.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!