Answers
Answer
d
Step-by-step explanation
The rate is constant
Related Questions
Find the rate of change given the following
points.
(-1, 3) and (1,7)
Answers
An internet analytics company measured the number of people watching a video posted on a social media platform. The company found 129 people had watched the video and that the number of people who had watched it was increasing by 30% every 3 hours.
(a)
Write an exponential function for the number of people A who had watched the video n hours after the initial observation. (Enter a mathematical expression.)
Answers
Answer:
(a) The exponential function representing the number of people who had watched the video [tex]t[/tex] hours after the initial observation is [tex]n(t) = 129\cdot 1.3^{\frac{t}{3} }[/tex].
(b) As [tex]n(120) < 5\times 10^{6}[/tex], we conclude that this video is not going "viral".
Step-by-step explanation:
Statement is incomplete. The complete statement is:
An internet analytics company measured the number of people watching a video posted on a social media platform. The company found 129 people had watched the video and that the number of people who had watched it was increasing by 30% every 3 hours.
(a) Write an exponential function for the number of people A who had watched the video n hours after the initial observation.
(b) A video is said to go "viral" if the number of people who have watched the video exceeds 5 million within 5 days (120 hours). Would this video be considered to have gone viral?
(a) From the statement of the problem we get the following relationship:
[tex]\frac{n_{i+1}}{n_{i}}= r^{[(i+1)-i]}[/tex] (Eq. 1)
Where:
[tex]n_{i}[/tex] - i-th number of people watching a video, dimensionless.
[tex]n_{i+1}[/tex] - (i+1)-th number of people watching a video, dimensionless.
[tex]r[/tex] - Increase ratio, dimensionless.
For Induction Theorem, we get the following relatioship for [tex]i = 0[/tex]:
[tex]\frac{n_{1}}{n_{o}} = r^{1-0}[/tex] (Eq. 2)
For [tex]i = m[/tex], the following relationship is constructed:
[tex]\left(\frac{n_{1}}{n_{o}} \right)\cdot \left(\frac{n_{2}}{n_{1}} \right)\cdot ...\cdot \left(\frac{n_{m+1}}{n_{m}} \right) = r^{m}[/tex]
[tex]\frac{n_{m+1}}{n_{o}} = r^{m}[/tex](Eq. 3)
And for [tex]i = m+1[/tex], we have the following expression:
[tex]\left(\frac{n_{1}}{n_{0}} \right)\cdot \left(\frac{n_{2}}{n_{1}} \right)\cdot ...\cdot \left(\frac{n_{m+2}}{n_{m}} \right) = r^{m+1}[/tex]
[tex]\frac{n_{m+2}}{n_{0}} = r^{m+1}[/tex](Eq. 4)
If we multiply (Eq. 3) by the (m+1)-th ratio based on (Eq. 1):
[tex]\left(\frac{n_{m+1}}{n_{o}}\right)\cdot \left(\frac{n_{m+2}}{n_{m+1}} \right) = r^{m} \cdot r[/tex]
[tex]\frac{n_{m+2}}{n_{o}} = r^{m+1}[/tex]
Which is (Eq. 4) and the exponential function is represented by:
[tex]n_{i+1} = n_{o}\cdot r^{i}[/tex], [tex]i\in \mathbb{N}_{O}[/tex] (Eq. 5)
As the number of people is increased at constant rate every 3 hours, we get that [tex]i[/tex] is:
[tex]i = \frac{t}{3}[/tex], [tex]t \in \mathbb{R}[/tex], [tex]t \geq 0[/tex] (Eq. 6)
Where [tex]t[/tex] is the time, measured in hours.
Then, the exponential function is:
[tex]n(t) = n_{o}\cdot r^{\frac{t}{3} }[/tex] (Eq. 7)
Where [tex]n_{o}[/tex] is the initial number of people watching the video, dimensionless.
If we know that [tex]n_{o} = 129[/tex] and [tex]r = 1.3[/tex], then the exponential function representing the number of people who had watched the video [tex]t[/tex] hours after the initial observation is:
[tex]n(t) = 129\cdot 1.3^{\frac{t}{3} }[/tex]
(b) If we know that [tex]t = 120\,h[/tex], then we evaluate the exponential function:
[tex]n (120) = 129\cdot 1.3^{\frac{120}{3} }[/tex]
[tex]n(120) = 4.659\times 10^{6}[/tex]
As [tex]n(120) < 5\times 10^{6}[/tex], we conclude that this video is not going "viral".
Find the value of in the triangle shown below
9, 7, and x around the triangle
Answers
Answer:
Step-by-step explanation: 56
Answer:
130 is correct
Step-by-step explanation:
HELP PLZ FIRST TO ANSWE GETS BRAINLIEST
Anna works in sales and earns $100 each week plus $15 per sale. This week, she wants
to be paid at least $500. Which inequality can be used to find the number of sales she
needs to make?
O A. 100 - 15x < 500
OB. 100 + 15x < 500
O C. 100 - 15x 2 500
OD. 100 + 15x 2 500
Answers
Hey there!
I think the answer is B.
Fred has $200. He wants to purchase a gym bag for $26 and as many pair of shoes as he can. Each pair of shoes is $45. What is the maximum number of pairs of shoes he can
purchase in addition to the gym bag?
Answers
Answer:
3 shoes
Step-by-step explanation:
You can set up an equation to solve this question like this:
200=45s+26
174=45s
174/45=s
s=3.867
You can't have a part of a shoe, so you have to round down to get 3 shoes
Answer:
3
Step-by-step explanation:
In order to get the answer to this question you subtract in till you can no longer subtract after subtracting the cost of the bag.
What we do know:
[tex]M=200[/tex]
[tex]B=26[/tex]
[tex]S=45[/tex]
[tex]200-26=174[/tex]
[tex]174-45=129[/tex]
[tex]129-45=84[/tex]
[tex]84-45=39[/tex]
[tex]S=3[/tex]
Hope this helps
Write the equation of the line through (3,9) and (-2,9)
Answers
Answer:
y = 9
Step-by-step explanation:
y-y1 = m(x-x1)
m is the slope =y2-y1/x2-x1=9-9/-2-3=0
pick any number out of the given two for (x1, x2)
y-9 = 0*(x-3) so
y-9 = 0 add 9 to both sides
y = 9
PLEASE HELP
Given: AABC with vertices A(5,-2), B(5, -7), and C(1, -2). Which set of
coordinates best repositions the triangle to make a coordinate proof easier?
o (0,0),(4,0), and (4.-5)
O (0,0).(-4,0), and (0, -5)
O(0,0). (0,4), and (5,0)
O (0,0),(4,0), and (0, -5)
None of the other answers are correct
Answers
Answer: (0,0),(0,4), and (5,0)
Step-by-step explanation:
It is easy to find lengths of horizontal and vertical segments and distances from (0,0) so always place one vertex at the origin and one or more sides on an axis.
This answer has an x intercept and y intercept.
What is the slope in the linear equation y= -3x +7?
Answers
Answer:
-3
Step-by-step explanation:
the coefficient of the x term is the slope in any equation that is in slope intercept form
Answer:
-3 is the slope
Step-by-step explanation:
The equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -3x+7
-3 is the slope and 7 is the y intercept
h+ j(j – h); use h = 2, and j = 6
Answers
Answer: 32
2+6(6-2)
8(4)
32
Xavier has a lunch food budget of $120 a month. He spends an average of $6 per day on lunch. Create a table and then a graph to represent the relationship. Then write an equation
where d represents the number of days and m represents that amount of money he had left.
Answers
Answer:
m= 120 - 6*d
Step-by-step explanation:
budget is $120 per 1 month, spends $6 per 1 day
on the the table you have 2 columns: one labele it "days" and one "$ spent" and fill it in:
days: 1,2,3,4,..
$ spent: 6, 6*2=12, 6*3= 18, 6*4= 32,...
on the graph lable the horizontal axis "days" and the vertical axis "$ spent"
now plot the points (1,6), (2,12),(3,18), ..., and draw a line trough them
the equation is
m= 120 - 6*d
so after 20 days for example, out of 120 will have m=120-6*20=120-120=0,
$0 wil have in 20 days
PLEASE HELPP THIS IS IN A DIFFERENT language TO MY BRAin I swear My brain is LagGiNg RN
Answers
Answer:
A
Step-by-step explanation:
the first number in slope intercept is the slope and the second number is the y-intercept
Answer:
The answer is Choice a
Step-by-step explanation:
hey im new , who can show me how to use this ,thanks
Answers
Answer:
Sure, if u want to ask a question click question, however you need to answer questions to recieve points in order for you to ask questions. So answers some questions then you can ask
Step-by-step explanation:
Write three expressions equivalent to 3^2 9^2
Answers
Answer:
0-^
Step-by-step explanation:
Estimate the answers to these calculations (167.8 x 24) /38
Answers
Answer:
105.978947368
Step-by-step explanation:
7. Find the inverse of f(x) = 4x^3 + 8.
Answers
Answer:
The inverse of [tex]\displaystyle{f(x)=4x^3+8}[/tex] is determined to be [tex]{f^{-1}(x)=\sqrt[3]{\frac{1}{4}x-8}[/tex].
Step-by-step explanation:
In order to find the inverse of a function, we need to know a couple of rules about functions.
f(x) = yTo find the inverse, we flip the y-variable with the x-variables and solve for y.Following these rules, our function now becomes [tex]\displaystyle{x=4y^3+8}[/tex].
We now can simplify it further in order to find the value of x.
[tex]\displaystyle{x=4y^3+8}\\\\4y^3=x-8\\\\y^3=\frac{x}{4}-8\\\\\sqrt[3]{y^3}=\sqrt[3]{\frac{x}{4}-8} \\\\y = \sqrt[3]{\frac{1}{4}x-8}\\\\f^{-1}(x)= \sqrt[3]{\frac{1}{4}x-8}[/tex]
Therefore, the inverse of [tex]\displaystyle{f(x)=4x^3+8}[/tex] is [tex]\displaystyle{f^{-1}(x)=\sqrt[3]{\frac{1}{4}x-8}[/tex].
Answer:
[tex]\huge\boxed{f^{-1}(x) = \sqrt[3]{\frac{x-8}{4}}}[/tex]
Step-by-step explanation:
In order to find the inverse of a function, we need to follow a series of steps.
1. Write the function in the form [tex]y=ax^b+c[/tex]
2. Swap where the x and y values are
3. Solve for y
4. Convert into [tex]f^{-1}(x)[/tex] form
So first, we can write [tex]f(x)=4x^3+8[/tex] as [tex]y=4x^3+8[/tex].
Now we need to swap where the x and y variables are. This makes our equation [tex]x=4y^3+8[/tex].
To find the inverse, we now need to solve for y in this equation.
[tex]x=4y^3+8[/tex] Subtract 8 from both sides:[tex]x-8 = 4y^3[/tex] [tex]4y^3 = x-8[/tex] Divide both sides by 4:[tex]y^3 = \frac{x-8}{4}[/tex] Take the cube root of each side: [tex]y = \sqrt[3]{\frac{x-8}{4}}[/tex] Convert into [tex]f^{-1}(x)[/tex] form [tex]f^{-1}(x) = \sqrt[3]{\frac{x-8}{4}}[/tex]Therefore, the inverse of this function is [tex]f^{-1}(x) = \sqrt[3]{\frac{x-8}{4}}[/tex].
Hope this helped!
Are the ratios 30:15 and 32:12 equal?
Answers
Answer:
No, they are not
Step-by-step explanation:
:(
brainlest!!!!!!!!! please help me
all the choices are the same
please help thx!!!!!
Answers
Answer:
Graph 1- last option choice
Graph 2- first option choice
Graph 3- third option choice
Graph 4- second option choice
Hope this helps stay safe!
Step-by-step explanation:
When graphing a linear inequality on a number line, use an open circle for "less than" or "greater than", and a closed circle for "less than or equal to" or "greater than or equal to".
Answer:
1. x < 1
2. x </= 1
3. x >/= - 1
4. x > 1
Aubrey’s monthly bank statement shows a total of $51 in fees for ATM withdrawals. If Audrey made 17 withdraws, what is Audrey charged for each withdrawal?
Answers
Answer:
Audrey was charged $3 for each withdrawal.
Step-by-step explanation:
We have to calculate the amount of money charged on one transaction.
In order to find the amount for one ATM withdrawal, the total amount for ATM withdrawals will be divided by number of withdrawals.
Given
[tex]Total\ ATM\ withdrawal\ fees = \$51\\Total\ withdrawals = 17\\Amount\ for\ one\ withdrawal = \frac{Total\ fees}{No.\ of\ withdrawals}\\= \frac{51}{17}\\= \$3[/tex]
Hence,
Audrey was charged $3 for each withdrawal.
Omar has a gift card for $25 at a clothing store. He wants to buy socks that cost $4 per pair. He also has a coupon for $5 off his entire purchase. Omar wants to know how many pairs of socks he can buy. Write and inequality that represents the situation.
Answers
Answer:
4x ≤ 30
Step-by-step explanation:
Omar gets 30 dollars off because $25 + $5 = 30. Let x = pairs of socks
We know each pair costs $4, so the cost would be 4x. Omar has to buy as many pairs as he can with only the coupon and gift card. Omar has to spend $30 (the full discount) or less than $30. Therefore, the inequality would be: 4x ≤ 30 or 4x is less than or equal to 30 ($30).
Answer: 4p-5_<25
Step-by-step explanation:
i got i right
. Are the expressions 3(m - 2) + 2(m - 2) and 5(m - 2) equivalent expressions?
Answers
Then
Factor it you get 5(m -2) so yes the expressions are equivalent
an item is regularly priced at $55 it is priced at a discount of 40 off regular price what is a percent now
Answers
Answer:
Thus, a product that normally costs $55 with a 40 percent discount will cost you $33.00, and you saved $22.00. You can also calculate how much you save by simply moving the period in 40.00 percent two spaces to the left, and then multiply the result by $55 as follows: $55 x . 40 = $22.00 savings.
Step-by-step explanation:
A gallon of gas costs $2.73. Walter pays for 24 gallons of gas. He gives the clerk $80.00. How much change should Walter receive after paying for the gas?
Answers
step by step explanation:
you’d multiply 2.73 by 24;
2.73 x 24= 65.52
then you would subtract $80 and 65.52
when you subtract the answer you get is $14.48
hope this helps
He would pay $14.48
To get this answer you would need to multiply $2.73 by 24 and subtract by $80.
You need a piece of paper to measure 56.34 cm. If you tape
two together that each measure 35.87 cm, how much do you
need to cut off?
Answers
Answer:
20.47.
Step-by-step explanation:
You need to 56.34, by 35.87. And you get your answer. 20.47!
what are all the factors of 32?
Answers
Someone help please I can give brainlist?
Answers
Answer:
-2.4f - 21
Step-by-step explanation:
help me with this plzz i need answer asap
Answers
Answer:
oof this is easy
Step-by-step explanation:
Straight angles consists with
two right angles
2
Straight angles consists with
one obtuse angle and one acute angle
RESULT
My friend is wrong because a straight angle either consists with two right angles or one obtuse angle and one acute angle.
Simplify (three^six)^eigthteen
Answers
Answer:
[tex](3^6)^{18}=3^{108}=3.38139191\times10^{51}[/tex]
Which of these graphs represents a function?
Answers
Answer:
C
Step-by-step explanation:
Each x value only corresponds with 1 y value
An orthocenter is the intersection of three
angle bisectors in a triangle.
altitudes in a triangle.
medians in a triangle.
perpendicular bisectors in a triangle.
Answers
Answer:
Altitudes in a triangle
option 2
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
is the relation function?
choose the correct answer
marking brainlist
Answers
Answer:
Not a function because an output has two different inputs
Step-by-step explanation: