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
Inga [223]
2 years ago
13

Let g (x)=x^2.what is the average rate of change of the function from x=4 to x=8?

Mathematics
1 answer:
Vlad [161]2 years ago
7 0
F(8) -f(4) / 8-4
= 64-16 / 4
= 48/4
= 12
You might be interested in
Look at the figure shown below.
Sveta_85 [38]

Answer:

Step by step explanation:

7 0
2 years ago
What is the Coefficient of 10x +8
Gemiola [76]

Answer:

the coefficient is 10

Step-by-step explanation:

the 10 is by the x so 10 is the coefficient

6 0
3 years ago
A boat is 2000m from a cliff. If the angle of depression from the top of the cliff to the boat is 10 degrees, how tall is the cl
lubasha [3.4K]

Answer:

Let AB is the height of the cliff = H and p is the posit ion of the boat.Angle of depression= angle of elevation= 15 degrees therefore angle APB= 15 degrees tan 15=AB=h/1,000 h=(1,000)*tan 15=(1,000)(0.26794919243112)=268.94919243112 meters or

Simply: 268meters..........Ans

6 0
3 years ago
Read 2 more answers
Which transformation<br> represents a reflectiom over the y axis
Delicious77 [7]

A reflection over the Y-axis would be the flipped point or set of points across the y axis while still retaining the same distance from the y-axis.

:)

3 0
3 years ago
A cylindrical tank has a base of diameter 12 ft and height 5 ft. The tank is full of water (of density 62.4 lb/ft3).(a) Write do
saw5 [17]

Answer:

a.  71884.8 π lb/ft-s²∫₀⁵(9 - y)dy

b.  23961.6 π lb/ft-s²∫₀⁵(5 - y)dy

c. 99840π lb/ft-s²∫₀⁶rdr

Step-by-step explanation:

.(a) Write down an integral for the work needed to pump all of the water to a point 4 feet above the tank.

The work done, W = ∫mgdy where m = mass of cylindrical tank = ρA([5 + 4] - y) where ρ = density of water = 62.4 lb/ft³, A = area of base of tank = πd²/4 where d = diameter of tank = 12 ft.( we add height of the tank + the height of point above the tank and subtract it from the vertical point above the base of the tank, y to get 5 + 4 - y) and g = acceleration due to gravity = 32 ft/s²

So,

W = ∫mgdy

W = ∫ρA([5 + 4] - y)gdy

W = ∫ρA(9 - y)gdy

W = ρgA∫(9 - y)dy

W = ρgπd²/4∫(9 - y)dy

we integrate W from  y from 0 to 5 which is the height of the tank

W = ρgπd²/4∫₀⁵(9 - y)dy

substituting the values of the other variables into the equation, we have

W = 62.4 lb/ft³π(12 ft)² (32 ft/s²)/4∫₀⁵(9 - y)dy

W = 71884.8 π lb/ft-s²∫₀⁵(9 - y)dy

.(b) Write down an integral for the fluid force on the side of the tank

Since force, F = ∫PdA where P = pressure = ρgh where h = (5 - y) since we are moving from h = 0 to h = 5. So, P = ρg(5 - y)

The differential area on the side of the tank is given by

dA = 2πrdy

So.  F = ∫PdA

F = ∫ρg(5 - y)2πrdy

Since we are integrating from y = 0 to y = 5, we have our integral as

F = ∫ρg2πr(5 - y)dy

F = ∫ρgπd(5 - y)dy    since d = 2r

substituting the values of the other variables into the equation, we have

F = ∫₀⁵62.4 lb/ft³π(12 ft) × 32 ft/s²(5 - y)dy

F = 23961.6 π lb/ft-s²∫₀⁵(5 - y)dy

.(c) How would your answer to part (a) change if the tank was on its side

The work done, W = ∫mgdr where m = mass of cylindrical tank = ρAh where ρ = density of water = 62.4 lb/ft³, A = curved surface area of cylindrical tank = 2πrh  where r = radius of tank, d = diameter of tank = 12 ft. and h =  height of the tank = 5 ft and g = acceleration due to gravity = 32 ft/s²

So,

W = ∫mgdr

W = ∫ρAhgdr

W = ∫ρ(2πrh)hgdr

W = ∫2ρπrh²gdr

W = 2ρπh²g∫rdr

we integrate from r = 0 to r = d/2 where d = diameter of cylindrical tank = 12 ft/2 = 6 ft

So,

W = 2ρπh²g∫₀⁶rdr

substituting the values of the other variables into the equation, we have

W = 2 × 62.4 lb/ft³π(5 ft)² × 32 ft/s²∫₀⁶rdr

W = 99840π lb/ft-s²∫₀⁶rdr

7 0
3 years ago
Other questions:
  • What are the similarities and differences between these data sets in terms of their centers and their variability?
    5·2 answers
  • Jasmine has 4 glass ornanents:green,orange,brown,and purple.How many ways can she hang them in a row so that the green and brown
    15·2 answers
  • A rocket is launched at the rate of 11 feet per second from a point on the ground 15 feet from an observer. To 2 decimal places
    7·2 answers
  • Write an equation in point slope form that passes through (-1,3) (2,-3) and has a slope of 1/3
    14·1 answer
  • Jack used cubes to make the right angle rectangular prism below she then made smaller rectangular prism using 1/4 of the number
    11·1 answer
  • How to reduce 22/100 to its lowest term​
    7·2 answers
  • Multiply and express your answer in standard form (-2+7i)(3+4i)
    15·1 answer
  • Divya starts a painting her grandpa's kitchen at 8:15 a.m. She finishes 75 minutes later
    9·1 answer
  • The new TV costs $350. The family saved up $210 in September. In October they saved up $140. Do they have enough for the new TV
    6·1 answer
  • A baker uses 3/4 of yeast in 1/3 of wark water to make rolls how manu teaspoons of yeast does the baker use in 1 cup of water
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!