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
laila [671]
3 years ago
12

The Hobbits are building a watchtower so they can prepare to battle in case trolls decide to attack them. One Hobbit will always

be on the lookout and the Hobbits will prepare for battle as soon as the trolls are visible. The time, TTT, in minutes, that the Hobbits have to prepare for the attack of trolls kkk meters away is given by the function T(k)=\dfrac{k}{80}T(k)= 80 k ​ T, left parenthesis, k, right parenthesis, equals, start fraction, k, divided by, 80, end fraction. The visibility, VVV, in meters, that the Hobbits have from an mmm meter watch tower is given by the function V(m)=50mV(m)=50mV, left parenthesis, m, right parenthesis, equals, 50, m. Find an explicit expression that models the amount of time the Hobbits have to prepare for a troll attack given that the watchtower is mmm meters tall.
Mathematics
1 answer:
Kay [80]3 years ago
5 0

Answer:

An explicit expression is equal to 3m/8

Step-by-step explanation:

we know that

Function T gives the time the Hobbits have to prepare for the attack, T(k), in minutes, as a function of troll's distance, k, in meters

so

T(k)=\frac{k}{80}

Function V gives visibility from the watchtower, V(m), in meters, as a function of the height of the watchtower, m, in meters

so

V(m)=50m

Find the composite figure T(V(m))

That will give the time the Hobbits have to prepare for the troll attack as a function of the height, m, of the watchtower

Substitute the variable k in the function T by the function V(m)

T(V(m))=\frac{50m}{80}

simplify

T(V(m))=\frac{5m}{8}

therefore

An explicit expression is equal to 3m/8

You might be interested in
How to now your timetables by your hands
Ivenika [448]
1
Hold your hands out in front of you with your palms facing up. Each of your ten fingers represent a number. Moving from your left thumb to your right thumb, count out the numbers from one to ten. 2 Point the finger you want to multiply by nine down towards your body. For example, if you want to solve (9x3) you will want to hold down your middle finger on your left hand. The middle finger represents the number three because, if you count your fingers from one to ten beginning with your left thumb, your middle finger is the third finger. 3 Solve the problem by counting fingers to the left and right. First count the fingers to the left of your bent finger - in this case there should be two. Next count the fingers to the right of your bent finger - in this case there should be seven. The first digit of the answer is 2 and the second digit is 7. The answer is 27![1]
7 0
3 years ago
Read 2 more answers
What is the product of (7.28 x 10-2). (9.1 x 10-2)?
tangare [24]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
235 people are at RSM summer camp. There are 35 more boys than girls, and 70 fewer adults than girls. How many people of each gr
makkiz [27]

Answer:

The number of girls are 90 girls

The number of boys are 125 boys

The number of adults are 20 adults

There are 90 girls, 125 boys and 20 adults at the camp

Step-by-step explanation:

The total number of people is given as 235 people

The number of boys = 35 + The number of girls

The number of adults = The number of girls - 70

Let the total number of girls = G

Therefore, we have;

The number of boys = 35 + G

The number of adults = G - 70

The total number of persons = The number of boys + The number of adults  +  The number of girls

Therefore;

235 = The number of boys + The number of adults  +  The number of girls

Which gives;

235 = 35 + G + G - 70 + G = 3·G - 35

235 = 3·G - 35

3·G - 35 = 235

3·G = 235 + 35  = 270

G = 270/3 = 90

The number of girls = 90

The number of boys = 35 + The number of girls = 35 + 90 = 125

The number of boys =  125

The number of adults = The number of girls - 70 = 90 - 70 = 20

The number of adults = 20.

8 0
3 years ago
Verify the identity sin^2(x/2)=(1-cosx)/2
horsena [70]
Use the following identity:

cos(2x)=1-2sin^2(x)
5 0
3 years ago
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 76.676.6
faltersainse [42]

Answer:

Step-by-step explanation:

Researchers measured the data speeds for a particular smartphone carrier at 50 airports.

The highest speed measured was 76.6 Mbps.

n= 50

X[bar]= 17.95

S= 23.39

a. What is the difference between​ the carrier's highest data speed and the mean of all 50 data​ speeds?

If the highest speed is 76.6 and the sample mean is 17.95, the difference is 76.6-17.95= 58.65 Mbps

b. How many standard deviations is that​ [the difference found in part​ (a)]?

To know how many standard deviations is the max value apart from the sample mean, you have to divide the difference between those two values by the standard deviation

Dif/S= 58.65/23.39= 2.507 ≅ 2.51 Standard deviations

c. Convert the​ carrier's highest data speed to a z score.

The value is X= 76.6

Using the formula Z= (X - μ)/ δ= (76.6 - 17.95)/ 23.39= 2.51

d. If we consider data speeds that convert to z scores between minus−2 and 2 to be neither significantly low nor significantly​ high, is the​ carrier's highest data speed​ significant?

The Z value corresponding to the highest data speed is 2.51, considerin that is greater than 2 you can assume that it is significant.

I hope it helps!

3 0
3 years ago
Other questions:
  • Find the value of the derivative (if it exists) of f(x) = (x+3)^(4/3) at x=-3.
    8·1 answer
  • 25% of 60 to 40% of 30<br> &gt;, &lt; or =
    9·1 answer
  • Which equation correctly applies the associative property of multiplication
    9·2 answers
  • If f(x)=4x+5 what is the value of f(-3)
    10·1 answer
  • The following situation applies to questions 2-5.
    13·1 answer
  • What is the inequality for 3 times a number increased by 14 is at most 50
    7·1 answer
  • Simplify<br> √(8+2√15)<br><br> The decimal answer won't work.
    8·1 answer
  • I need help with Geometry
    13·1 answer
  • -4f - 9 f + 15
    7·1 answer
  • 12m+20=170 what is m?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!