Which function increases at a faster rate on 0 to infinity, f(x)=x^2 or g(x)=2^x?Explain your reasoning.
Answer:
g(x) increase at a faster rate.
Step-by-step explanation:
Given : Two functions [tex]f(x)=x^2[/tex] or [tex]g(x)=2^x[/tex]
To find : Which function increase at a faster rate on 0 to infinity
Solution :
We put some value of x in the functions and note down the observation.
x → 0 1 2 3 4 5 6 7
[tex]f(x)=x^2[/tex] → 0 1 4 9 16 25 36 49
[tex]g(x)=2^x[/tex] → 1 2 4 8 16 32 64 128
Comparing the values of f(x) and g(x), we can see that that g(x) increases at a faster rate on 0 to infinity.
Reason - The exponential function, g(x), has a constant multiplicative rate of change and will increase at a faster rate than the quadratic function f(x).
Help Please
Tamara needs to buy motor oil to fill the 3 empty cylindrical barrels at her oil service center each barrel is 7 ft deep and has a radius of 4 ft what is the volume of oil needed use 3.14 for the radius.
Answer:
1055.04 volume
Step-by-step explanation:
The amplitude of y = -3sin(x) is _____.
Consider the function f (x) = (2x - a)(x - b)/5(x - b)(x - c). Determine where the following features of its graph
are located in terms of a, b, and/or c. Explain your reasoning for each situation.
a. the x-intercepts
b. the y-intercepts
c. any vertical asymptotes
d. any horizontal asymptotes
e. any “holes” in the graph
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If dewayne answered 38 items correctly on a test, and received a score of 76%, How Many items were on the test?
List the first five terms of each of the following geometric sequence.
A_1 = 10; r = 5
Bryan is paid $32 per hour and works 8 hours per day. He receives one paid day off for each 16 days that he works. What is his true hourly wage?
A. $40 per hour
B. $34 per hour
C. $32 per hour
D. $48 per hour
$40 per hour is his true hourly wage, option A is correct.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Bryan works 8 hours per day, so he works 16 x 8 = 128 hours during the 16-day period.
His pay for the 16-day period is 16 x 8 x $32 = $5,120.
He receives one paid day off for each 16 days that he works, so he gets 16/1 = 16 paid days off for every 16 days worked.
Therefore, he actually works for 16 - 16/1 = 0 days during those 16 days.
His true hourly wage is his total pay divided by the actual number of hours he works:
True hourly wage = $5,120 / 128 hours = $40 per hour
Hence, $40 per hour is his true hourly wage, option A is correct.
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the hoop rotates through qan angle of 3/2 pie radian in 1 second how many revolutions does the hoop make in 1 minute
how do you solve log base 3 (27) by hand
The log base 3 of 27 is equal to 3.
To solve log base 3 of 27 by hand, we need to determine the exponent to which the base 3 must be raised to obtain 27.
In this case, 3 raised to the power of what exponent equals 27?
By observing that [tex]3^3[/tex] equals 27, we can conclude that:
log base 3 of 27 = 3.
Therefore, the solution to log base 3 of 27 is 3.
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to compute how one currency compared to another you must use the
1. negotiated rate
2.exchange rate
3. agreement rate
or 4.bartered rate
im guessing its the exchange rate right ?,
Megan predicts she will sell 42 glasses of lemonade this weekend. If Megan actually sold 58 glasses of lemonade, what was Megan's percent error? Round your answer to the nearest tenth of a percent.
Megan's percent error is approximately 27.6%.
Megan's percent error can be calculated by finding the absolute difference between her predicted value and actual value, dividing that by the actual value, and then multiplying by 100 to get a percentage.
Calculate the absolute difference:
|58 - 42| = 16.
Find the percent error:
(16 / 58) × 100 ≈ 27.6%.
What is 2 (log₃8+log₃z) - log₃(3⁴-7²) written as a single logarithm?
Ursula and Andre competed against each other in a swimming race. Ursula swam at a rate of 60 meters per minute and Andre swam at a rate of 48 meters per minute. Ursula gave Andre a 1-minute head start.
Final answer:
Ursula, swimming at 60 meters per minute, and given Andre a 1-minute head start who swims at 48 meters per minute, will catch up to Andre 4 minutes after she starts.
Explanation:
Ursula and Andre competed against each other in a swimming race. Ursula swam at a rate of 60 meters per minute and Andre swam at a rate of 48 meters per minute. Ursula gave Andre a 1-minute head start. To determine who wins the race, we need to calculate the time it takes for Ursula to catch up to Andre, given the head start.
Let's denote the time it takes for Ursula to catch up to Andre as t (in minutes). Since Andre has a 1-minute head start, he would have swum 48 meters before Ursula starts. Therefore, the distance Andre swims in t+1 minutes is 48(t+1). Ursula's swimming distance in t minutes is 60t.
To find out when Ursula catches up to Andre, we set these distances equal to each other:
60t = 48(t+1)60t = 48t + 4860t - 48t = 4812t = 48t = 4Thus, Ursula will catch up to Andre 4 minutes after she starts swimming, which is 5 minutes after Andre starts.
PLEASE HELP! An organization surveyed a random sample of their employees about their new vacation policy. Out of the employees surveyed, 83% rated the vacation policy as "delightful" with a margin of error of ±2% and a confidence interval of 95%.
What does the margin of error imply?
A.It can be concluded, with 81% confidence, that between 93% and 97% of all employees will rate the vacation policy as "delightful."
B.It can be concluded, with 95% confidence, that at least 81% of all employees will rate the vacation policy as "delightful."
C.It can be concluded, with 95% confidence, that between 81% and 85% of all employees will rate the vacation policy as "delightful."
D.It can be concluded, with 81% confidence, that at least 95% of all employees will rate the vacation policy as "delightful."
Answer:
The answer is option C.
Step-by-step explanation:
Here, according to the given question, margin of error means that the number of people who rated the vacation as 'delightful' ranges between 81% (83-2) and 85% (83+2) of the population at a 95% confidence interval. The range is formed as 81% to 85% as its given that the margin of error is ±2% .
Therefore, only option C is having both the ranges, 81% and 85%. So, option C is the correct answer.
C.It can be concluded, with 95% confidence, that between 81% and 85% of all employees will rate the vacation policy as "delightful."
The histogram below shows the age distribution of Elizabeth’s grandchildren.
The box-and-whisker plot below shows the same data.
Which of the following best explains why one graph appears skewed and one graph appears symmetric?
A. The intervals on the x-adis of the histogram are too large
B. The interval on the y-axis of the histogram is too small
C. The interval on the x-axis of the histogram is inconsistent
D. The interval in the box-and-whisker plot is too small
Answer:
Option: C is the correct answer.
C. The interval on the x-axis of the histogram is inconsistent
Step-by-step explanation:
Clearly after looking at the histogram we see that the interval on the x-axis are inconsistent.
Since, the intervals given are:
0-4 ( length of interval is 4)
5-9 ( length of interval is 4)
10-14 ( length of interval is 4)
But the intervals:
(15-19) is missing in the given histogram.
And then a interval of length 4 is given i.e. (20-24)
Hence, option: C is the correct answer.
Find the volume of a cone?
1. Suppose that the amount of algae in a pond triples every 2 hours. If the pond initially contains 80 pounds of algae, how much algae will be in the pond after 8 hours? (1 point)
a) 720
b) 1,280
c) 6,480
d) 320
Use the data to create a scatter plot.
Stretch distance
(cm)
Weight
(Newtons)
2.0
1
3.5
2
4.0
2
4.5
3
5.5
5
6.0
6
7.5
8
9.0
9
Weight vs. Stretch Distance
Point
Move
Undo
Redo
Reset
Stretch distance (cm)
Weight (N)
To create a scatter plot for the given data, label the axes with 'Stretch distance (cm)' and 'Weight (Newtons)', plot the points, and observe the correlation. A positive trend is expected as weight increases with stretch distance.
Explanation:To create a scatter plot with the given data of stretch distance versus weight, you would typically use graphing software or graph paper. Here's a step-by-step explanation on how to plot the data:
Label the x-axis as 'Stretch distance (cm)' and the y-axis as 'Weight (Newtons)'.Mark even increments on both axes according to your data range. For stretch distance, you might use increments of 1 cm, and for weight, you could use increments of 1 Newton.Plot each pair of values from the table onto the graph. For example, you would place a point at (2.0 cm, 1 N), (3.5 cm, 2 N), and so on.Once all points are plotted, you may observe a pattern or trend which can be indicated by drawing a line of best fit if appropriate.
After plotting all the points, your scatter plot might show a positive correlation between stretch distance and weight, indicating that weight increases as the stretch distance increases.
Mr.gleasons math class lasts 40 minutes . Math class starts at 9:55 a.m. At what time does math class end
Answer:
10:35
Step-by-step explanation:
Just add 9.55 and 40 mins:
9.55+40=10:35a.m
A bowl of fruit contains 3 apples, 4 bananas, 2 pears and 1 orange.Aminata chooses one piece of fruit at random.What is the probability that she chooses.
The probability of Aminata choosing a specific type of fruit is calculated by dividing the number of that fruit by the total number of fruits in the bowl. Different fruit types have different probabilities due to their varying quantities.
Explanation:The question asks about the probability of Aminata choosing a specific type of fruit from a bowl containing 3 apples, 4 bananas, 2 pears, and 1 orange. To find the probability of Aminata choosing any one type of fruit, we first need to determine the total number of fruit pieces in the bowl, which is 3 apples + 4 bananas + 2 pears + 1 orange = 10 pieces of fruit.
The probability of selecting any specific type of fruit is then calculated by dividing the number of that fruit type by the total number of pieces.
The probability of choosing an apple is 3/10.The probability of choosing a banana is 4/10 or simplified to 2/5.The probability of choosing a pear is 2/10 or simplified to 1/5.The probability of choosing an orange is 1/10.Each fruit type has a different probability of being chosen based on its quantity in the total mix of fruits.
Jenna is a professional typist.she can type 22,500 words in 5 hours of typing.in one hour how many words can she type?in one minute how many words can she types?
PLEASE HELP ASAAAAAPPPP
Jerry starts to save at age 35 for a vacation home that he wants to buy for his 50th birthday. He will contribute $300 each month to an account, which earns 1.7% interest, compounded annually. What is the future value of this investment, rounded to the nearest dollar, when Jerry is ready to purchase the vacation home? Answers: $61,960 $60,924 $5,077 $5,163 This is the only question I couldn't figure out , I just need help with it please. Thanks
John wants to build a corral next to his barn. He has 300 feet of fencing to enclose three sides of his rectangular yard.
a. What is the largest area that can be enclosed?
b. What dimensions will result in the largest yard?
A cell phone plan charges $15$15 per month for 300300 text messages. The plan charges $0.08$0.08 for each additional text message. You use 6060 additional texts this month. What is your bill for the month?
The company charges 15 dollars per month for first 300 text messages and thereafter 0.08 dollars for any additional text message.
It says that we used additional 60 text messages (after fair usage of first 300 messages in the plan).
Our bill for this month would be sum of charges for 300 messages and charges for additional 60 messages.
Total bill = 15 dollars + 60x0.08 dollars = (15 + 4.80) dollars.
Total bill = 19.80 dollars.
Hence, our bill this month would be 19.80 dollars.
please help asap!!! brainliest to best/right answer!!!!!!
Explain how to find the degree of a polynomial.
Answer:
The Degree of a Polynomial is the largest of the degrees of the individual terms. Add the degrees of the variables of each term to decide what is the Degree of the Polynomial. Degree of term 1 is 2 (1+1= 2), Degree of term 2 is 6 (2+4 = 6), Degree of term 3 is 7 (5+2 = 7) 7 is the Degree of the Polynomial.
I need to know what 8(ii) because I don’t know the method
Extra points to the person who answer first
Mandana is ordering new tile for her kitchen floor. The area of the floor is 116.9 square feet, and she wants to order between 15% and 20% extra of the materials. Which of the following is a reasonable amount of tile for Mandana to order?
A. 131 square feet B. 138 square feet C. 133 square feet D. 141 square feet
In order to know what is the reasonable amount of tile for Mandana to order, you have to divide the choices with the area of the floor and deduct with 1 and multiply by 100. You have to assess if the answer you will get will fall between 15% and 20% which is the goal of Mandana.
a. 131/116.9 = (1.1206 – 1) x 100 = 12.06%, this does not fall between 15% and 20%
b. 138/116.9 = (1.1805 – 1) x 100 = 18.05%, this fall between 15% and 20%
c. 133/116.9 = (1.1377 – 1) x 100 = 13.77%, this does not fall between 15% and 20%
d. 141/116.9 = (1.2062 – 1) x 100 = 20.62%, this does not fall between 15% and 20%
Therefore, the reasonable amount of tile for Madana to order that is between 15% and 20% extra of the materials is 138 square feet.