Nina uploaded a funny video on her website, which rapidly gains views over time.
The relationship between the elapsed time, ttt, in days, since Nina uploaded the video, and the total number of views, V(t)V(t)V, left parenthesis, t, right parenthesis, is modeled by the following function:
V(t)=500⋅(1. 8)t
Complete the following sentence about the daily percent change in the views of the video.
Every day,
\%%percent of views are
the total number of views of the video
Every day, the number of views of the video increases by 80% of the previous day's views.
Every day, the number of views of the video increases by a certain percentage. To find the daily percent change in the views, we can use the formula for percent change, which is given by:
percent change = ((new value - old value) / old value) * 100
In this case, the old value is the number of views at the start, which is 500, and the new value is the number of views after one day, which is given by:
V(1) = 500*(1.8)^1 = 900
Substituting these values into the formula, we get:
percent change = ((900 - 500) / 500) * 100 = 80%
In other words, for every day that passes, the number of views of the video is multiplied by a factor of 1.8.
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A classmate of yours stated that a solid line is not a good representation of an arithmetic sequences. What logical assumption is your classmate using?
The classmate is not correct. A line is a good representation of an arithmetic sequence.
A line is a series of dots that represent each value of the sequence.
A line has the same slope as the common difference in the sequence.
An arithmetic sequence is a set of discrete values, whereas a line is a continuous set of values.
The logical assumption used is: An arithmetic sequence is a set of discrete values, whereas a line is a continuous set of values.
What is arithmetic sequence?An arithmetic sequence is a set of numbers where, with the exception of the first term, each term is obtained by adding a fixed constant to the term before it. Every pair of following terms in the sequence has the same fixed constant, which is known as the common difference. A1 stands for the first term in an arithmetic sequence, while an is used to represent the nth term.
A solid line symbolises continuous numbers, whereas the classmate's logical presumption is that an arithmetic series comprises of discrete values. This presumption is untrue, though, as a line can effectively represent an arithmetic series.
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three six-sided, fair dice are rolled. what is the probability that none of the outcomes is an even number
the probability that none of the outcomes is an even number is 1/8 or approximately 0.125
The probability of rolling an even number on a fair six-sided die is 3/6 or 1/2, and the probability of rolling an odd number is also 1/2.
To find the probability that none of the outcomes is an even number, we need to calculate the probability of rolling an odd number on all three dice. Since the dice are rolled independently, we can multiply the probabilities together to get the overall probability:
P(rolling odd on one die) = [tex]1/2[/tex]
P(rolling odd on two dice) = [tex](1/2)^2 = 1/4[/tex]
P(rolling odd on three dice) =[tex](1/2)^3 = 1/8[/tex]
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Explain why the value of 0.6 is greater than the value of 0.39.
Answer:
B
Step-by-step explanation:
The value of 0.6 is greater than the value of 0.39 because 0.6 represents a larger proportion or fraction of a whole than 0.39 does.
To compare these two values, we can think of them as parts of a whole. For example, we can consider 0.6 as 60% of a whole and 0.39 as 39% of the same whole. When we compare 60% and 39%, it is clear that 60% is greater than 39%.
Another way to compare these two values is to convert them to fractions. 0.6 can be written as 6/10 or 3/5, while 0.39 can be written as 39/100.
When we compare 6/10 and 39/100, we can see that 6/10 is greater than 39/100 because 6/10 represents 6 parts out of 10, while 39/100 represents 39 parts out of 100.
Therefore, we can conclude that the value of 0.6 is greater than the value of 0.39 because it represents a larger proportion or fraction of a whole.
patients scheduled to see their primary care physician at a particular hospital wait, on average, an additional eight minutes after their appointment is scheduled to start. assume the time that patients wait is exponentially distributed. what is the probability a randomly selected patient will see the doctor within eleven minutes of the scheduled time?
The probability is approximately 0.446 or 44.6%.
Waiting time is exponentially distributed, we can use the cumulative distribution function (CDF) of the exponential distribution to solve this problem.
Let X be the waiting time in minutes.
X is exponentially distributed with a mean of 8 minutes.
The rate parameter λ is equal to 1/8.
The CDF of the exponential distribution is given by:
[tex]F(x) = 1 - e^(-\lambda x)[/tex]
The probability that a patient will see the doctor within eleven minutes of the scheduled time.
The value of F(11) - F(0).
[tex]F(11) = 1 - e^(-\lambda \times 11) = 1 - e^(-11/8)[/tex] ≈ 0.554
[tex]F(0) = 1 - e^(-\lambda \times 0) = 1 - e^0 = 1[/tex]
Therefore, the probability that a randomly selected patient will see the doctor within eleven minutes of the scheduled time is:
F(11) - F(0) ≈ 0.554 - 1 ≈ 0.446
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Find H. C. F of each set of number using long division method 80,215,245and720
The H. C. F of 80,215,245 and 720 using long division method is 5.
The long division method to find the Highest Common Factor (H.C.F.) of 80, 215, 245, and 720.
Divide the largest number by the smallest number.
720 ÷ 80 = 9 with a remainder of 0
Divide the smallest number by the remainder from the previous step.
80 ÷ 40 = 2 with a remainder of 0
Divide the remainder from the previous step by the next smallest number.
40 ÷ 5 = 8 with a remainder of 0
Divide the remainder from the previous step by the next smallest number.
5 ÷ 5 = 1 with a remainder of 0
We have reached a remainder of 0, which means that 5 is the H.C.F. of the given numbers.
Therefore, the H.C.F. of 80, 215, 245, and 720 is 5.
We can also verify this by listing the factors of each number and finding the common factors:
80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
215: 1, 5, 43, 215
245: 1, 5, 7, 35, 49, 245
720: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
The common factors are 1, 5, and 40.
The largest common factor is 5, which is the same as what we obtained using the long division method.
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a prescription for ear drops specifies that the patient put 2 drops in each ear twice a day for 9 days. approx how many millilitres of medication would be needed for this prescription? ( dosage×frequency×day supply )
approximately 3.6 milliliters of medication would be needed for this prescription.
To calculate the total milliliters of medication needed for this prescription, we will use the formula dosage × frequency × day supply.
In this case, the dosage is 2 drops per ear, the frequency is twice a day, and the day supply is 9 days.
First, let's find out how many drops are needed per day:
2 drops/ear × 2 ears = 4 drops
Since the frequency is twice a day, multiply this number by 2:
4 drops × 2 = 8 drops per day
Now, multiply the number of drops per day by the day supply (9 days):
8 drops/day × 9 days = 72 drops
Typically, 1 drop is approximately 0.05 millilitres. To find out how many millilitres of medication are needed, multiply the total number of drops by the volume of one drop:
72 drops × 0.05 mL/drop = 3.6 mL
So, approximately 3.6 millilitres of medication would be needed for this prescription.
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Approximately 1.8 milliliters of medication would be needed for this prescription.
To calculate how many milliliters of medication would be needed for this prescription, we need to use the following formula:
dosage × frequency × day supply.
The dosage is 2 drops, the frequency is twice a day, and the day supply is 9 days.
First, we need to convert drops to milliliters.
One drop is equal to approximately 0.05 milliliters.
2 drops would be equal to 0.1 milliliters.
Next, we can plug in the values into the formula:
[tex]0.1 milliliters/drop \times 2 drops/twice a day \times 9 days = 1.8 milliliters. [/tex]
The patient will be using exactly 2 drops in each ear for each dose, and that there will be no waste or spillage of the medication.
To determine how many milliliters of medicine would be required for this prescription:
dose frequency day supply.
The recommended dosage is 2 drops, twice day, with a 9-day supply.
We must first convert droplets to milliliters.
A drop is around 0.05 milliliters in volume. As a result, 2 drops are equivalent to 0.1 milliliters.
The values may then be entered into the formula as follows:
0.1 milliliters each drop times twice daily for nine days equals 1.8 milliliters.
As a result, this prescription would require about 1.8 milliliters of medicine.
It's crucial to note that this estimate is predicated on the patient applying precisely 2 drops to each ear for each dose.
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What are the domain and range of this exponential function?y=2x–9
The value of both domain and range of this exponential function is (−∞,∞).
y = 2x-9
The domain of the function can be defined as all real numbers except the ones where the expression is undefined. In the case of 2x-9, there is no real number for which this expression is undefined. Therefore, a domain of this exponential function is (−∞,∞).
The range of the function is defined as the set of all valid y values. In this case, all real numbers are valid values of y. Therefore, the range of this exponential function is (−∞,∞).
Therefore, domain of y = 2x-9 is (−∞,∞) and range is also (−∞,∞).
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What is the value of g(x)=x^2+4x
The value of g(x) = x^2 + 4x depends on the value of x.
If, for example, x = 2, then:
g(2) = 2^2 + 4(2) = 4 + 8 = 12
If x = -3, then:
g(-3) = (-3)^2 + 4(-3) = 9 - 12 = -3
In general, we can evaluate g(x) for any value of x by substituting that value into the expression x^2 + 4x.
Solve the equation
2x/3+1=7x/15+3
The answer is X = 10
⇒ Given [tex]\frac{2x}{3} + 1 = \frac{7x}{15} + 3[/tex]
⇒ [tex]\frac{2x+3}{3} = \frac{7x+45}{15}[/tex]
⇒ 15(2x + 3) = 3(7x + 45)
⇒ 30x + 45 = 21x + 135
⇒ 30x - 21x = 135 - 45
⇒ 9x = 90
⇒ x = [tex]\frac{90}{9}[/tex]
⇒ Therefore X = 10
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20. The wallpaper border that runs all the way around a room is 5f² +19f+ 11 long. Three sides of the room have the following lengths of border: 6f, 5f-7, 2f^2+2. What is the length of the fourth side of the room?
In linear equation, 3f² + 8f + 16 feet is the length of the fourth side of the room.
What is linear equation?
An algebraic equation with simply a constant and a first- order( direct) element, similar as y = mx b, where m is the pitch and b is the y- intercept, is known as a linear equation.
The below is sometimes appertained to as a" direct equation of two variables," where y and x are the variables. Equations whose variables have a power of one are called direct equations. One illustration with only one variable is where layoff b = 0, where a and b are real values and x is the variable.
= 5f² + 19f + 11 - 6f - 5f + 7 - 2f² - 2
= 3f² + 8f + 16 feet
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The expression that represent the length of the fourth side of the room is [tex]3f^2 + 8f + 16[/tex].
What is expression ?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it.
Here Total length of the room = [tex]5f^2+19f+11[/tex]
Three sides length of the room = 6f , 5f-8 and [tex]2f^2+2[/tex]
Fourth side = Total length - sum of length of three sides
=> [tex]5f^2+19f+11-(6f+5f-7+2f^2+2)[/tex]
=> [tex]5f^2+ 19f + 11 - 6f - 5f + 7 - 2f^2 - 2[/tex]
=> [tex]3f^2 + 8f + 16[/tex] .
The expression that represent the length of the fourth side of the room is [tex]3f^2 + 8f + 16[/tex].
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An object moving at speed s for time t travels distance st. The Brown family is taking a road trip. This morning, they drove for 2. 5 hours at a speed of 65 miles per hour. How far did the family drive this morning?
Write your answer as a whole number or decimal
The total distance Brown family drove this morning at the speed of 65 miles per hour in 2.5 hours is equal to 162.5 miles.
Let 's' represents the speed of the moving object.
And 't' represents the time to cover distance.
The speed was 65 miles per hour.
And the time they drove was 2.5 hours.
The distance the Brown family drove this morning
= Multiplying their speed by the time they drove.
This implies,
distance = speed x time
Substitute the values we have,
The distance they drove this morning is equal to,
⇒ distance = 65 miles per hour x 2.5 hours
⇒ distance = 162.5 miles
Therefore, the distance drove by Brown family this morning is 162.5 miles at the speed of 65 miles per hour.
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Perform the operation. ( − 10x ^2 + 2 x− 10 ) − (-10x^2+3)
Answer:
2x-13
Step-by-step explanation:
First flip the operation to be (-10x^2+2x-10) + (10x^2-3).
Then you simplify it. The 10x^2 would get canceled out. You would then get 2x-13.
Jaxon made 5% of his free throws over the season. If he shot 220 free throws, how many did he make?
Answer:
Jaxon made 11 free throws over the season.
Step-by-step explanation:
If he made 5% of his free throws, we know that he will make 5% of the total number of free throws he took, which is 220:
We multiply 220 by 0.05, or 5% to find out how many free throws he made:
220*0.05 = 11
After that, we now know that Jaxon made 11 of his free throws out of 220 over the course of the season, or 5%.
Your friend incorrectly factors the expression below as 7x(5-2xy). Factor the expression below correctly. What error did your friend make?
35x - 14xy
Answer:
The answer is 7x(5-2y)
Step-by-step explanation:
35x-14xy
7x(5-2y)
the error made is the x in the bracket
lee had scored the following points in his first 8 games 12,14,14,15,8,10,3,15 enter the number of points lee needs to score in the nest game to increase his keam score to 13 points
Lee needs to score a total of 26 points in the next game to increase his mean score to 13 points.
Calculating the score in the next gameGiven that
Scores = 12,14,14,15,8,10,3,15
To increase his mean score to 13 points,
Lee needs to have a total of 13 x 9 = 117 points after the next game.
He has already scored a total of 12+14+14+15+8+10+3+15 = 91 points in the first 8 games.
Therefore, Lee needs to score a total of 117 - 91 = 26 points in the next game to increase his mean score to 13 points.
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HELP!! View image! THANK U
The probability of selecting no Independents is $\frac{{7 \choose 2} + {8 \choose 2}}{{20 \choose 2}} = \frac{91}{190} \approx 0.4789$.
#4 Please help!!!!!!!!!!
Answer:150°
Step-by-step explanation:
In morning Emily studied 40 minutes for a math exam. Later that evening Emily studied for x more minutes. Write an equation that represents the total number of minutes y emily studied for the math exam
Equation that represents the total number of minutes y Emily studied for the math exam is y = 40 +x.
We can represent the total number of minutes Emily studied for the math exam using the equation,
y = 40 + x
Here, 'y' represents the total number of minutes Emily studied for the math exam, '40' represents the number of minutes she studied in the morning, and 'x' represents the number of minutes she studied later that evening.
By adding the number of minutes studied in the morning to the number of minutes studied later that evening, we can calculate the total number of minutes Emily studied for the math exam.
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I need some help bro
Answer:
first answer is correct
y = -1/2 x^2 + x + 1
Step-by-step explanation:
based on the graph, you can find two points
(2,1) and (0,1)
I input (2, 1) to each equation to check
y = -1/2 x^2 + x + 1 is correct
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 13 people took the trip. She was able to purchase coach tickets for $380
and first class tickets for $1200. She used her total budget for airfare for the trip, which was $9040. How many first class tickets did she buy? How many coach tickets did she buy?
number of first class tickets bought=
Answer: Sarah bought 5 first class tickets and (13-5) = 8 coach tickets.
Step-by-step explanation: The taken a toll of one to begin with lesson ticket is $1200 and the fetched of one coach ticket is $380.
So, the full taken a toll of first class tickets would be 1200x and the entire cost of coach tickets would be 380(13-x) = 4940 - 380x.
The overall fetched of the tickets is given as $9040, so we will set up the taking after condition:
1200x + 4940 - 380x = 9040
Streamlining and tackling for x, we get:
820x = 4100
x = 5
a frog is placed at the origin on the number line, and moves according to the following rule: in a given move, the frog advances to either the closest point with a greater integer coordinate that is a multiple of $3$, or to the closest point with a greater integer coordinate that is a multiple of $13.$ a move sequence is a sequence of coordinates which correspond to valid moves, beginning with $0,$ and ending with $39.$ for example, $0,\ 3,\ 6,\ 13,\ 15,\ 26,\ 39$ is a move sequence. how many move sequences are possible for the frog?
There are 16 possible move sequences for the frog.
The possible moves that the frog can make.
The frog can move to either the closest point with a greater integer coordinate that is a multiple of 3, or to the closest point with a greater integer coordinate that is a multiple of 13.
Let's consider the first type of move, where the frog moves to the closest point with a greater integer coordinate that is a multiple of 3.
If the frog is at the point [tex]$n$[/tex], then the closest point with a greater integer coordinate that is a multiple of 3 is either [tex]$n+3$ or $n+6$[/tex].
Similarly, if the frog is at the point [tex]$n$[/tex] and wants to move to a multiple of 13, then the closest point with a greater integer coordinate that is a multiple of 13 is either[tex]$n+13$[/tex] or [tex]$n+26$[/tex].
Constructing move sequences.
The sequence starts with 0 and ends with 39.
The frog has two choices for its first move: either move to 3 or move to 13.
Let's assume that the frog moves to 3.
From there, the frog has two choices again:
move to 6 or move to 13. If the frog moves to 6, then it has two choices again: move to 9 or move to 13.
If it moves to 13, then it has two choices: move to 26 or move to 16.
We can continue this process until we reach 39.
We can create a tree diagram to help us keep track of the possible move sequences:
0
|
3 or 13
/ \
6 or 13 13 or 26
/ \ / \
9 13 16 26
/ \ / \ / \ / \
... ... ... ... ... ... ... ...
Each branch represents a different move sequence.
We can see that there are 16 possible move sequences in total.
We can also see that some sequences are longer than others.
The longest sequence has 7 moves, while the shortest sequence has only 2 moves.
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clerks at mosier data systems key in thousands of insurance records each day for a variety of client firms. samples of the work of 20 clerks are gathered. ceo donna mosier carefully examines 100 records entered by each clerk and counts the number of errors. mosier wants to set control limits to include 99.73% of the random variation in the data entry process. which type of process control chart should she use?
Donna Mosier should use an Individuals control chart to set control limits for the data entry process.
An Individuals control chart is a type of process control chart used to monitor the process when the sample size is one. In this case, Mosier is examining 100 records entered by each of the 20 clerks, making the sample size one.
To set control limits that include 99.73% of the random variation in the data entry process, Mosier can use the following steps:
Calculate the mean and standard deviation of the number of errors for each clerk based on the 100 records examined.Calculate the Upper Control Limit (UCL) and Lower Control Limit (LCL) using the formulas: UCL = mean + 3 * standard deviation and LCL = mean - 3 * standard deviation.Plot the individual data points for each clerk on the Individuals control chart, with the UCL and LCL as the upper and lower boundaries, respectively.Monitor the data points over time to detect any trends, shifts, or out-of-control points that may indicate a process issue.By using an Individuals control chart, Mosier can set control limits to monitor the data entry process and detect any issues before they become major problems.
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In ABC, m A= 62° and mB=39⁰.
In XYZ, m Y=39° and m Z=79⁰.
Include in Your Answer:
What is mC?
What is mX?
• Is it possible for these two triangles to be similar? Why or
why not?
please help! and explain and show work of how you got the answer. I will mark you brainliest.
Answer: i dont know if this is right but i put a^4+b^4=c^4
Step-by-step explanation:
I have no idea tho
PLEASE HELP DUE TODAY!!!!!!!
Consider the functions g(x) = 2x + 1 and h(x) = 2x + 2 for the domain 0 < x < 5
a. Without evaluating or graphing the functions, how do the ranges compare?
b. graph the 2 functions and describe each range over the given interval
Answer:
see the images and explanation
Step-by-step explanation:
for the graph:
the domain 0 < x < 5
the range for each functions:
g(x) = 2x + 1
g(x) = y , 1 < y < 11
h(x) = 2x + 2 , 2 < y < 12
help Here is your graph of the points on the previous screen.
Connect the points in order to create polygon `ABCDEF`.
1.2 Enter the length of the segment betwee
The length of the given line AB is 6 units and the polygon ABCDEF has been created.
What is a graph?A graph is a mathematical structure made up of a collection of points called VERTICES and a set of lines connecting some pair of VERTICES that may or may not be empty.
There is a chance that the edges will be directed, or orientated.
If the lines are directed or undirected, respectively, they are referred to as ARCS or EDGES.
Make a sequence of bars on graph paper as an example of a graph.
So, in the given situation the polygon ABCDEF has been created:
(Refer to the graph attached below)
Now, the length of the side AB:
Count the units as follows which comes to 6 units.
Therefore, the length of the given line AB is 6 units and the polygon ABCDEF has been created.
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Correct question:
Help Here is your graph of the points on the previous screen.
Connect the points in order to create polygon `ABCDEF`.
1.2 Enter the length of the segment between A and B.
y
∝
√
x
If
y
=
60
when
x
=
36
find,
x
when
y
=
80
If y is proportional to the square root of x and y = 60 when x = 36, then the value of x when y = 80 is 64
We are given that y is proportional to the square root of x, or y ∝ √x.
Using the constant of proportionality k, we can write this relationship as:
y = k√x
To solve for k, we can use the values given in the problem
y = 60, x = 36
60 = k√36
60 = k × 6
k = 60 / 6
Divide the numbers
k = 10
Now that we know k, we can use the same equation to find x when y = 80
80 = 10√x
Squaring both sides, we get
6400 = 100x
x = 64
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The given question is incomplete, the complete question is:
y ∝ √x If y = 60 when x = 36, find x when y = 80.
Label the net for the cylinder. Then find the surface area of the cylinder. Give your answer in terms of π and as a decimal number rounded to the nearest tenth.
The surface area of the cylinder is approximately 94.2 ft².
What is surface area?Surface area refers to the total area of the external or outer part of an object. It is the sum of the areas of all the individual surfaces or faces of the object. Surface area is typically measured in square units, such as square inches (in²), square feet (ft²), or square meters (m²), depending on the unit of measurement used.
According to the given information:
The surface area of a cylinder is the sum of the lateral surface area (the curved surface) and the area of the two circular bases.
The formula for the lateral surface area of a cylinder is given:
Lateral Surface Area = 2πrh
where r is the radius of the cylinder and h is the height of the cylinder.
Plugging in the given values for the radius (r = 3 ft) and height (h = 2 ft), we can calculate the lateral surface area:
Lateral Surface Area = 2π * 3 * 2 = 12π ft²
The formula for the area of a circle (which represents the bases of the cylinder) is given:
Circle Area = πr²
Plugging in the given value for the radius (r = 3 ft), we can calculate the area of each circular base:
Circle Area = π * 3² = 9π ft²
Since there are two bases in a cylinder, we multiply this by 2 to account for both bases:
2 * Circle Area = 2 * 9π = 18π ft²
Now, we can add the lateral surface area and the area of the two bases to find the total surface area of the cylinder:
Total Surface Area = Lateral Surface Area + 2 * Circle Area
= 12π + 18π
= 30π ft²
As a decimal rounded to the nearest tenth, the surface area of the cylinder is approximately 94.2 ft²
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Currently, Jana's grandmother is 5.25 times older than Jana.
Jana's mother is 2.5 times older than Jana. In 3 years, the sum
of all three of their ages will be 149 years. Write and solve an
equation to find Jana's current age. Then find her mother's
and grandmother's current ages.
Step-by-step explanation:
j = jana's age
m = mom's age = 2.5 j
g = grandma's age = 5.25 j summed, they equal 149 IN THREE YEARS
j+3 + 2.5j +3 + 5.25 j + 3 = 149
8.75 j + 9 = 149
8.75 j = 140
j = 16 y/o
mom = 2.5 j = 40 y/o
g-ma = 5.25 j = 84 y/o