Find (f - g)(x) if f(x) = x2 - x - 6 and g(x) = 2x2 - 3x + 4a. -x2 + 2x - 10
b. x2 - 4x - 2
c. 3x2 - 4x - 2
d. x2 + 2x - 10
Answers
Related Questions
20) The total fees f of a book club membership are $10 per month m and a one-timeadministration fee of $4.75.Function rule:How much will it cost for a 15 month membership?
Order the following numbers from least to greatest.Put the least value on the left.
Jack, Jill, and Ron share a 2-bedroom apartment. Rent is represented by R. The water bill is $20 per person. The electric bill is $250 a month. Jill will be picking up the water bill for everyone as well as half of the electric. Ron will be paying the other half of the electric bill as well as his third of the rent. Jack will be paying Jill's portion of the rent as well as his own. Match each person with the appropriate algebraic expression.-abcd -abcd 185-abcd -abcd Jill's paymentJack's paymentRon's paymentNo Match
How many seconds in 2.6 days
Answers
Answer:
The diameter is 32.04 Inches
Step-by-step explanation:
If the Bicycle makes 5 rotations and it equals 41.87 ft
Then 1 rotation around the circumference is
41.87/5 = 8.374 ft
Circumference =
8.374 = 3.14*d
Divide both sides by 3.14
d = 8.374/3.14
d = 2.67 ft
To convert feet to inches, we multiply by 12
d = 2.67*12 inches
d = 32.04 Inches
Answer:
2.66687898
Step-by-step explanation:
3. The company is building a scale model of the theater’s main show tank for an investor's presentation. Each dimension will be made one sixth of the original dimension to accommodate the mock-up in the presentation room. What is the volume of the smaller mock-up tank?
Using the information from #3, answer the following question by filling in the blank: The volume of the original main show tank is ____% of the mock-up of the tank.
Answers
Answer:
1. Volume = 5128.67 ft³
The volume if sphere is given by:
V = (4/3)πr³
If the tank is cut into half vertically, then the volume of sphere becomes.
V = (4/3)πr³ / 2
If the tank is cut into half again horizontally, then the volume of the sphere becomes.
V = (4/3)πr³ / 4
Hence, as the main tank forms a quarter sphere, its Volume is given by:
V = (4/3)πr³ / 4
It is given in the question that the radius is 70 ft.
Substitute that in the given formula:
V = (4/3)π(70)³ / 4
V = 5128.67 ft³
2. Volume of tank = 461,814 ft³
Step-by-step explanation:
Congruent tanks implies that both tanks are of identifical shape, form & dimensions. Congruent means that the tanks have the same radius as well as height. Hence, the heights and radii of tanks #1 and #2 are equal and the same.
Let's list out the information given us:
radius(tank #1) = 35 ft ⇒ radius(tank #2) = 35 ft, height(tank #2) = 120 ft ⇒ height(tank #2) = 120 ft
Volume of cylinder = πr²h
The tanks have been cut into half, as such:
Volume of tank = ½πr²h
Volume of tank = Volume(tank #1) + Volume(tank #2)
Since the tanks are congruent (same dimensions), we have:
⇒ ½πr²h + ½πr²h ⇒ πr²h
Volume of tank = π * 35² * 120 = 147,000 π
Volume of tank = 461,814 ft³
3. 1047.2 ft³
Step-by-step explanation:
The following information is missing:
The main show tank has a radius of 60 feet and forms a quarter sphere where the bottom of the pool is spherical and the top of the pool is flat. (Imagine cutting a sphere in half vertically and then cutting it in half horizontally)
The only dimension needed for the main show tank is its radius. Then the model radius will be 1/6 * 60 = 10 feet
The volume of a sphere is:
V = 4/3 * π * r³
For a quarter sphere it is:
V = 4/3 * π * r³ * 1/4
V = 1/3 * π * r³
For the smaller mock-up tank:
V = 1/3 * π * 10³
V = 1047.2 ft³
B. 394
C. 420
D. 564
Answers
When you put all the numbers in order from least to greatest and find the median which is between 420 and 434, you can then find your upper quartile which would be between 540 and 588 making it D
Answer:
564.
Step-by-step explanation:
Answers
How many lemonade should he put in each cup?
Marcos should put_____ ounces in each cup.
Question 2: Kainoa collects trading cards. he has 1,005 baseball cards, 702 basketball cards, and 885 football cards. And he wants to put them all in albums. Each page holds 18 cards.
How many pages will he need to hold all of his cards?
Kainoa will need_____ pages.
Answers
Answer:
First one 31 oz
Second one 144 pages
Step-by-step explanation:
First one
Divide 434 by 14 (434/14) to get how many oz in a cup since its 14 oz per cup and he has 434 oz
Second one
Add up all the cards since it says "all of his cards" (2592) and divide it by 18 since each page holds 18 cards
Answers
Answer:
The scale used is 1 : 12500. And the scale is in centimetres
Step-by-step explanation:
Given:
state park are 1000 meters from each other.
On a map,the two fields are 8 centimetres apart
To Find:
The scale used by the map = ?
Is it the metric scale?
Solution:
Actual distance between the parks is 1000 meters. But in map the distance is 8 centimetres
so the scale for map to actual distance is
8 cm : 1000 m
Now,
1 m = 100 m
So
1000 m = 100000 cm
Thus
8 cm : 100000 cm
On Reducing we get,
1 : 12500