Answer:
The answer is below
Step-by-step explanation:
The total revenue from the sale of a popular book is approximated by the rational R(x) = 1100x^2/x^2 + 4, where x is the number of years since publication and the total revenue in millions of dollars. Use this function to complete parts a through d. (a) Find the total revenue at the end of the first year. $ million (b) Find the total revenue at the end of the second year. $ million (c) Find the domain of function R. Choose the correct domain below. {x | x is a real number and x greaterthanorequalto 0} {x | x is a real number and x lessthanorequalto 5} {x | x is a real number and x notequalto 2, x notequalto 5} {x | x is a real number and x notequalto 2}
Solution:
Revenue is the total money made from the selling of a product or item.
a) Given the revenue function:
[tex]R(x)=\frac{1100x^2}{x^2+4}[/tex]
At the end of the first year (i.e. x = 1), the venue is given as:
[tex]R(1)=\frac{1100(1)^2}{(1)^2+4} =220\\\\R(1)=\$ 220\ million[/tex]
b) At the end of the second year (i.e. x = 2), the venue is given as:
[tex]R(2)=\frac{1100(2)^2}{(2)^2+4} =220\\\\R(2)=\$ 550\ million[/tex]
c) The domain of the function is the value of the denominator for which the value of the denominator is not zero
x² + 4 ≠ 0
The domain is {x| x is a real number and x ≥ 0}
pls help ...
Describe three ways to transform the graph of f(x) = log x to obtain the graph of g(x) = log 100x -1. Justify your answer.
Answer:
Translation up by one unitStep-by-step explanation:
Given
f(x) = log xLet's see what relationship has the function g(x) and f(x):
g(x) = log 100x - 1 = log 100 + log x - 1 = 2 + log x - 1 = log x + 1 = f(x) + 1g(x) = f(x) + 1As we see the function g(x) is the translation of the function f(x) up by one unit
Note: there is one transformation as described above. The interim steps in the solution could possibly be considered as different ways (like two units up and one unit down). The final position is just one way translation.
The time in minutes for each of Sam's phone calls this week are shown in the list.
{9, 15, 5, 7, 9, 12, 11, 4}
Which statement is true regarding the duration of his calls?
Answer:15
Step-by-step explanation:
15 out of 25 perfer skittles to M&MS. what percent of students prefer skittles
Answer:
60%
Step-by-step explanation:
Just divide 15 by 25 and then move the decimal point 2 places to the right. Then turn that number into a percentage.
Answer:
The answer is 60%
Step-by-step explanation:
You could check it by using a calculator, just enter 25x60%= 15
Find two consecutive integers whose product is 272.
The coordinate grid shows triangle STU.
Triangle STU is rotated 270* about the origin to create triangle S'T'U'. Which rule describes this transformation?
A: (x, y) (x + 3, y + 5)
B: (x, y) → (y, -x)
C: (x, y) → (x, -y)
D: (x, y) → (-x, y)
Answer:The rule for a rotation by 270° about the origin is (x,y)→(y,−x) .
YOUR ANSWER IS B
Step-by-step explanation:
Answer:
Step-by-step explanation:
you rotate it two times to the left or right your answer will be b
Soooo i think i might know the answer but can somebody help please
please no fake answers im very low on points
Answer:
216 combinations
Hisham and Edgar are on the Baker High School wrestling team. Juan weighs 170 lbs. and wants to lose 4 pounds each week. Edgar weighs 135 lbs. and wants to gain 4 pounds each week. Write a system of equations that could be used to find out when Juan and Edgar would be the same weight. Then solve the system to find out how many weeks it will be until they are the same weight.
Answer:
If Jake loses 8 pounds, he will weigh twice as much as his sister. ... Together they now weigh 278 pounds. What is Jake's present weight, in pounds? (A) 131 (B) 135 ... Before we create our equations, we want to define some variables. ... To solve this equation, we can substitute 2S + 8 from Equation 1 for the variable J in ...
Help ASAP please both questions
Lydia bought a shirt at 20% off its retail price of $40. She paid 5% tax on the price after the discount. How much did Lydia pay for the shirt? HELP PLS!!!
Answer:
$33.60
Step-by-step explanation:
20% discount on an original price of $40 = $8
so the price is now $32
5% of $32 = $1.60
32 + 1.60 = $33.60
how do you solve for range because i’m so confused lol
Answer:
A) y ≥ -4
Step-by-step explanation:
The range of a function basically represents all of the y values that a function encompasses (I hope that makes sense, if not, please let me know).
In this graph, since the parabola has a vertex at (1, -4), the range includes y values only greater than or equal to -4. The function does not include y values lower than -4. Therefore, the range must be y ≥ -4.
How many square feet of outdoor carpet will we need for this hole? 12ft , 2ft, 2ft, 4ft
Answer:
44 ft^2
Step-by-step explanation:
so first, you get the area for the outer rectangle
12*4=48
so the area is 48, but there is a 2x2 square cut out so subtract that area
2*2=4
48-4=44
If the map ratio of a map is 1:100000 and the distance between two
places on the map is 8cm, find the actual distance between the two
places.
Answer:
Given that,
Map scale = 1:100000
Map distance = 8cm
Therefore,
MD ÷ AD = 1 ÷ 100000
8 ÷ AD = 1 ÷ 100000
AD = 8 × 100000
AD = 800000
How do you find the slope and y-intersept?
Answer:
y=mx+b
Step-by-step explanation:
Answer:
use another thing that is free
Step-by-step explanation:
it only works for graph's.
i could friend you and show you-
brainly wont let me type it so here is a photo
Is x = 5 a solution of the inequality x - 3<2 ? Explain
Answer:
No
Step-by-step explanation:
Plug in 5 for x
5 - 3<2
2<2
this is not true it should be equal to 2.
Answer:
Not a solution
Step-by-step explanation:
Plug in x = 5 in the equality,
x - 3 = 5 - 3 = 2 not < 2
So, x = 5 is not a solution
Write the equation in slope-intercept form for a line with a slope of 4 and y-intercept of -13.
Answer:
y=4x-13
Step-by-step explanation:
What is the answer ??
Answer: Option 1
Step-by-step explanation:
hope this helps pls mark me brainiest
:D PLEASE ANSWER QUICK
Answer:
1 and 7
Step-by-step explanation:
Alternate means that they are on opposite sides of the transversal, and exterior means that they are outside of the parallel lines
Answer:
C. The third option
Step-by-step explanation:
Do you see how 1 and 7 are both on the outside of the line? Since they are they would be alternate exterior angles and they are also congruent so that would still make them alternate exterior angles. (Sorry I am not really sure how to explain this)
Hope this helps :)
which ratio is equivalent to7:3
Answer:
14:6, 21:18, 42:36, 73:54
Step-by-step explanation:
There is a few of them. Hope this helps:)
Evaluate: 168.72 ÷ 0.024 =
Answer:
7030
Step-by-step explanation:
Answer:
7,030
Step-by-step explanation:
Siri works wonders
awnser for brainliest and why u chose the awnser
Answer:
6 kilometers. This is because A,B, and C are all around 18 feet. However, 6 km = 19,685 feet and that is unrealistic.
What is the first term of the fibonacci like sequence whose second term is 4 and whose fith term is 22?
Answer: -2
Step-by-step explanation:
The information in the question can be used to form an equation which goes thus:
2nd term = a + d = 4 ...... i
5th term = a + 4d = 22 ....... ii
From equation i
a = 4 - d ........ iii
Put equation iii into ii
a + 4d = 22
(4 - d) + 4d = 22
4 - d + 4d = 22
4 + 3d = 22
3d = 22 - 4
3d = 18
d = 18/3
d = 6
Commons difference is 6
Since a + d = 4
a + 6 = 4
a = 4 - 6
a = -2
The first term is -2
The first term of the fibonacci like sequence whose second term is 4 and whose fith term is 22 is -2
Given:
second term:
a + d = 4
fifth term:
a + 4d = 22
where
a = first be term
d = common difference
a + d = 4 (1)
a + d = 4 (1)a + 4d = 22 (2)
subtract (1) from (2)
4d - d = 22 - 4
3d = 18
d = 18 / 3
d = 6
substitute into (1)
a + d = 4 (1)
a + 6 = 4
a = 4 - 6
a = -2
Therefore, the first term of the sequence is -2
Read more:
https://brainly.com/question/15165519
help please!!
Find the missing length indicated. Round to the nearest hundredth (two decimal places), if needed.
26 I think (i'm not sure please correct me.)
What is the quotient of the complex number 4-3i divided by its conjugate?
9514 1404 393
Answer:
0.28 -0.95i
Step-by-step explanation:
Multiply numerator and denominator by the conjugate of the denominator.
[tex]\dfrac{4-3i}{4+3i}=\dfrac{(4-3i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{7-24i}{25}=\boxed{0.28-0.96i}[/tex]
_____
Additional comment
If the original number is A∠β, the ratio is 1∠(2β), the square of the unit vector in the same direction as the original.
Uma pessoa comprou um terreno quadrado 81 m2 e deseja aumentar 19 m2 na area dele de que maneira ele continue em forma de quadrado qual sera o perímetro desse terreno
Answer:
the new perimeter of the land is 40m
Step-by-step explanation:
The computation of the new perimeter of the land is given below:
Since the square plot is 81m^2
It could be increased by 19m^2
So the total would be
= 81m^2 + 19m^2
= 100m^2
Each side is 10m
Now the perimeter is sum of all sides
= 10m + 10m + 10m + 10m
= 40m
hence, the new perimeter of the land is 40m
Answer:
Step-by-step explanation:
Essa conta poderia ser feita de várias maneiras. Uma delas é dividir 450 por 3 e depois multiplicar por 5. A resposta para esse problema é 750.
A beekeeper purchased a hive of 200 bees. He was told that he can expect the number of bees to increase at a rate of 5% every 2 months. Which expression can he use to compute the number of bees he will have after n months have passed?
i believe you have to do 200 devided by 5 im not sure.
Find the geometric mean of the pair of numbers. Give your answer in simplest radical form.
20 and 25
9514 1404 393
Answer:
10√5
Step-by-step explanation:
The geometric mean of two numbers is the square root of their product.
m = √(20×25) = √500 = √100 × √5
m = 10√5
The geometric mean of 20 and 25 is 10√5.
Two numbers have these properties. * Both numbers are greater than 6 * Their highest common factor (HCF) is 6 * Their lowest common multiple (LCM) IS 60 Find the two numbers
Answer:
The two numbers are 12 and 30
Step-by-step explanation:
It is given that both the numbers are greater than 6
Let the two numbers be X and Y
As we know
X * Y = LCM * HCF
XY = 360
Let us list down some combinations of X and Y and test above conditions
There can be following pairs
a) 6,60
b) 18,20
c) 24,15
d) 12,30
LCM of the two numbers is 60 and both the numbers are greater than 6
So only 12, 30 satisfy the set condition.
Help please!! I am freaking out!!
The yellow portion of this pie chart represents 35%
How many degrees are in the angle formed by the edges of the yellow region?
Answer:
100.8
Step-by-step explanation:
100%=360
35%=?
35/100*360=100.8
Answer:
The correct answer is 126
Please help me I don’t know the steps to solving/finding the measure of A (Geometry)
Solve for X Y and Z for brainliest
Answer:
x = [tex]\sqrt{30}[/tex]
y = [tex]\sqrt{26}[/tex]
z = [tex]\sqrt{195}[/tex]
Step-by-step explanation:
to begin, use the altitude rule to find 'y'
13/y = y/2
y² = 26
y = [tex]\sqrt{26}[/tex]
now, find 'x' by using the pythagorean theorem
2² +[tex]\sqrt{26}[/tex]² = x²
4 + 26 = x²
x = [tex]\sqrt{30}[/tex]
now find 'z' by using the pythagorean theorem again
z² + [tex]\sqrt{30}[/tex]² =(13+2)²
z² + 30 = 225
z² = 195
z = [tex]\sqrt{195}[/tex]