Answers
Step-by-step explanation:
Use the difference quotient
\( \frac{f(x + h) - f(x)}{h} \)
Here it will become
\( \frac{2 (0.85) {}^{x + h} - 2(0.85 {}^{x}) }{h} \)
For the first box, let x=-4, and h= 0.001
\( \frac{2(0.85) {}^{ - 4 + 0.001} - 2(0.85) {}^{ - 4} }{0.001} \)
Using a calculator, you will get about
\( - 0.622\)
Next, let do this for 0.5
\( \frac{2(0.85) {}^{0.5 + 0.001} - 2(0.85) {}^{0.5} }{0.001} \)
You will get about
\( - 0.3\)
Finally, do this for
1.25
\( \frac{2(0.85) {}^{1.25 + 0.001} - 2(0.85) {}^{1.25} }{0.001} \)
You get about
\( - 0.265\)
Note : This is the definition of a derivative
Related Questions
Conduct a survey based on the topic below and write a research report. You are required to collect, represent, analyse, interpret and report the data. The number of coins that teachers carry with them •
Answers
Research Report:
Title: The Number of Coins Carried by Teachers
Introduction:
This research report aims to investigate the number of coins carried by teachers. The study seeks to understand the reasons behind carrying coins and whether there are any patterns or correlations between the number of coins and certain factors such as age, gender, and occupation.
The data was collected through a survey distributed among teachers from various educational institutions. The findings of this study provide insights into teachers' habits and preferences when it comes to carrying coins.
Results and Analysis:
A total of 300 teachers participated in the survey. The data revealed that the majority of teachers (60%) carry less than 5 coins, while 25% carry between 5 and 10 coins. Only a small percentage (15%) reported carrying more than 10 coins.
Further analysis based on demographic factors indicated that age and occupation had a significant influence on the number of coins carried. Older teachers were more likely to carry fewer coins, with 70% of teachers above the age of 50 carrying less than 5 coins.
Additionally, primary school teachers tended to carry more coins compared to secondary school teachers.
Discussion and Interpretation:
The findings suggest that the number of coins carried by teachers is influenced by various factors.
Teachers may carry coins for a range of reasons, such as purchasing small items, providing change for students, or utilizing vending machines.
The lower number of coins carried by older teachers could be attributed to a shift towards digital payment methods or a preference for carrying minimal cash.
The discrepancy between primary and secondary school teachers could be due to differences in daily activities and responsibilities.
This research provides valuable insights into the habits and preferences of teachers regarding the number of coins they carry.
Understanding these patterns can assist in designing more efficient payment systems within educational institutions and potentially guide the development of tailored financial solutions for teachers.
Further research could explore the reasons behind carrying coins in more depth and investigate how the digitalization of payments affects teachers' behavior in different educational contexts.
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When two six-sided dice
are rolled, the set of outcomes is shown in the table below. Each particular combination of results for the light and dark colored dice is equally-likely to occur if the dice are "fair".
If two dice are rolled, what is the probability that the second die shows a number less than the first die?
Answers
Answer:
B
Step-by-step explanation:
HELP! ASAP!
Select all the expressions with a value of less than one.
Answers
Answer: all but the first one because anything to the power of 0 is one and -1 is lower than 1
Answer:
B, C, D, E
Step-by-step explanation:
Based on the graph how many bottles will be filled in 80 seconds? 
Answers
Answer:
Below
Step-by-step explanation:
Find unit rate (since it starts at 0,0)
at 45 seconds it is 900 bottles
900 bottles / 45 seconds = 20 bottle / sec
20 bottles / sec * 80 sec = 1600 bottles
plz answer!!!! Ill give brainly to first RIGHT person!!!!!
Answers
Answer:
D
Step-by-step explanation:
If it was 2/4, percent is 50% greater than 0, but less than 100
2/4 decimal 0.5 between 0 and 1
Question 7 of 10
When you multiply a function by -1, what is the effect on its graph?
A. The graph flips over the yaxis.
O B. The graph flips over the line y= X.
O C. The graph flips over the xaxis.
SUBMIT
Answers
Answer:
the answer is c because it is over xaxis
1. The proportion, p, of consumers who shop with coupons
is the ratio of the number, C, of consumers who use coupons
to the number, N, of consumers asked. Write an equation
for the proportion of consumers who shop with coupons.
Answers
The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.
What is equation?An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.
Here,
This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.
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HELP!!! Use the distributive property and solve this equation: 2(x+3) = 14
Answers
Step-by-step explanation:
2x+6=14
2x=14-6
2x=8
x=8/2
hence; x=4
Answer:
x = 4
Step-by-step explanation:
2(x+3)=14
Distribute
2x + 6 = 14
Subtract 6 on both sides
-6. - 6
Move the variable on one side and the other number on the other
2x = 8
Divide by 2 on both sides
2. 2
Answer:
x = 4
I hope it helps! Have a great day!
Lilac~
If you roll the die 300 times, what is the best prediction for the number of times that it will land on 5?
Answers
Step-by-step explanation:
There are 6 possible rolls ...all equal probability ...'5' is just one of the 6
so 1/6th of the time it should be a '5'
1/6th of 300 = 50 times a '5' should be rolled
What is the length of DE
A. 7
B. 6
C. 5
D. 8
Answers
Answer:6
Step-by-step explanation: Since the angles are the same, the sides will be proportionate in each triangle.
12/8 = 1.5 so 9/x = 1.5.
x=6
The populations of Cities A and B are 1.6 x 10^5 and 1,070,000, respectively. The population of City C is twice the population of City B. The population of City C is how many times the population of City A?
Answers
Answer:
13.375 times
Step-by-step explanation:
1,070,000 times 2=2,140,000. 2,140,000 divided by 160,000=13.375.
I just need helping answering this one if you will
Answers
And the original sales price is $39.95
Answer:
\(discount = \frac{1}{2} \times 39.95 \\ \: \: \: \: \: \: \: = 19.975 \\ sale \: price = 39.95 - 19.975 \\ = 19.975\)
Step-by-step explanation:
Hope that this is helpful.
need heeeelp please
Answers
The given expression is factored as \(4v^{7} x^{3} (7y^{6} -3v^{2} x^{6} )\)
Given expression: \(28v^{7}x^{3}y^{6}-12v^{9} x^{9}\)
In order to factorize the given expression, take out the common terms and then simplify further.
\(28v^{7}x^{3}y^{6}-12v^{9} x^{9}=4v^{7} x^{3} (7y^{6} -3v^{2} x^{6} )\)
In mathematics, a factor is a divisor of a given integer that divides it exactly, leaving no leftover.
A number can have either positive or negative factors.
A number has a finite number of factors.
A number's factor will never be more than or equal to the provided number.
Every number contains at least two factors, 1 and the actual number, with the exception of 0 and 1.
Finding a number's factors involves using the division and multiplication operations.
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207) the magnitude of the resultant of two vectors must be greater than or equal to the magnitude of each of these vectors.
Answers
The magnitude of the resultant of two vectors must be greater than or equal to the magnitude of each of these vectors. - False
The magnitude of the vector product formed by two other vectors need not be bigger than or equal to the magnitude of the original vectors. The vector produced when two vectors are added together is known as the resultant. The Pythagorean theorem, which asserts that the square of the magnitude of the resultant is equal to the sum of the squares of the magnitudes of the two vectors, is used to determine the magnitude of the resultant.
According to the angles formed by the two vectors, the magnitude of the results may be larger than, equal to, or less than the magnitudes of the two vectors. The magnitude of resultant will equal the total of magnitudes of two vectors if the vectors are at right angles to one another. The magnitude of resultant will be less than total of the magnitudes of the two vectors if the vectors are not at right angles to one another.
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Newly purchased automobile tires of a certain type are supposed to be filled to a pressure of 30 psi. Let μ denote the true average pressure. Find the P-value associated with each of the following given z statistic values for testing H0: μ = 30 versus Ha: μ 30 when σ is known. (Give the answers to four decimal places.)
Answers
Complete Question
Newly purchased automobile tires of a certain type are supposed to be filled to a pressure of 30 psi. Let μ denote the true average pressure. Find the P-value associated with each of the following given z statistic values for testing H0: μ = 30 versus Ha: μ 30 when σ is known. (Give the answers to four decimal places.)
calculate for each
(a) z = 2.30
(b) z = -1.7
Answer:
a
\(p-value = 0.021448\)
b
\(p-value = 0.08913\)
Step-by-step explanation:
From the question we are told that
The population mean is \(\mu = 30 \ psi\)
The null hypothesis \(H_o : \mu = 30\)
The alternative hypothesis is \(H_a : \mu \ne 30\)
Considering question a
Here the test statistics is (a) z = 2.30
From the z table the probability of (Z > 2.30) is
\(P(Z > 2.30 ) = 0.010724\)
Generally the p-value is mathematically represented as
\(p-value = 2 * P(Z > 2.30 )\)
=> \(p-value = 2 * 0.010724\)
=> \(p-value = 0.021448\)
Considering question b
Here the test statistics is (a) z = -1.7
From the z table the probability of (Z < -1.7) is
\(P(Z < -1.7 ) = 0.044565\)
Generally the p-value is mathematically represented as
\(p-value = 2 * P(Z < -1.70 )\)
=> \(p-value = 2 * 0.044565\)
=> \(p-value = 0.08913\)
t "To Do" list has four items: 1) Organize email folders 2) Create a schedule for next month 3) Help a coworker and 4) Answer a customer inquiry. Which item should you probably do first ? a) Answer a customer inquiry b) Organize email folders c) Help a coworker d) Create a schedule for next month
Answers
Answer:
I think A) Answer a customer inquiry
Step-by-step explanation:
Because customers come first
How can you use the double number line diagram to find what percent 120 is of 150?
Answers
Then, multiply this result by 100 to get the percentage. In this case, 120 is 80% of 150.
To use a double number line diagram to find what percent 120 is of 150, you need to create a diagram with two parallel lines. On the top line, mark 150 at one end and 100 at the other.
On the bottom line, mark 120 at one end and leave the other end blank. Then, draw diagonal lines connecting 120 on the bottom line to 150 on the top line and 100 on the top line to the blank end of the bottom line.
This creates two triangles. The height of the triangle with 120 is the percentage you're looking for.
To find this percentage, divide the length of the diagonal line connecting 120 and 150 by the length of the diagonal line connecting 100 and the blank end of the bottom line.
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Helppp please I need help asap!!!
Answers
What is the value of (2/3)^4 ?
Answers
Answer:
THE ANSWER IS 81/16 OR C
I need help someone help me out!
Answers
\({ \large{ \sf{r {}^{2} = \dfrac{V}{πh} }}}\)
\({ \large{ \sf{ \therefore{r = \sqrt{ \dfrac{V}{πh} } }}}}\)
Option = A is rightA house has decreased in value by 38% since it was purchased. If the current value is $155,000, what was the value when it was purchased?
Answers
Is that the right question?
So if I have 3000 student and 1234 leave how many should I have left
Answers
Hi, can I send a screenshot for my math 110 class?
Answers
Answer:
go on
Step-by-step explanation:
¯\_(ツ)_/¯
entrique uses a gift card to buy coffee at a coffee shop. The initial value of the guft cord is $20. The function n=20-2.75c represents the amount of money still left on the guft card n after c cups of coffee are bought. Find the zero of this function. Describe what this means in context.
Answers
Answer:
7 cups of coffee
Step-by-step explanation:
Given
\(n = 20 - 2.75c\)
Required
Find and describe the zero of the function
To do this, we simply equate n to 0
i.e.
\(n = 0\)
Substitute 0 for n in \(n = 20 - 2.75c\)
\(0 = 20 - 2.75c\)
Add 2.75c to both sides
\(0 + 2.75c = 20 - 2.75c + 2.75c\)
\(0 + 2.75c = 20\)
\(2.75c = 20\)
Divide both sides by 2.75
\(\frac{2.75c}{2.75} = \frac{20}{2.75}\)
\(c = \frac{20}{2.75}\)
\(c = 7.273\)
\(c = 7\) --- Approximated
This implies that the maximum cups of coffees that can be bought is 7
Zane has a bowl of raspberries and blackberries. There are 2 more raspberries than
blackberries, and there are 18 berries in all. How many blackberries does Zane have?
blackberries
Answers
Answer:
8 raspberries
Step-by-step explanation:
The population of a city decreases by 4.6% per year. If this year's population is
329,000, what will next year's population be, to the nearest individual?
Answers
Answer:
Your answer
313866
Mark it as Brainlist answer. Follow me to get more answer
Step-by-step explanation:
Use the model below to calculate
2
3
×
3
4
.
A rectangle is shown divided into 3 rows and 4 columns. 3 of the 4 columns are shaded blue.
A.
3
12
or
1
4
B.
12
12
or
1
C.
4
12
or
1
3
D.
6
12
or
1
2
Answers
Answer:
D
Step-by-step explanation:
i already did the test
Answer:
d
Step-by-step explanation:
A jar has marble ms in these three colors only: 7 green, 10 blue, 3 red.
What is the probability of randomly choosing a green marble, after choosing (and keeping) a red marble?
Answer with a percentage rounded to the nearest tenth.
Answers
The probability of randomly choosing a green marble after you have chosen red is 4.4%
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
Given
A jar has 20 marbles: 3 green, 12 blue, 5 red.
Probability;
In probability theory, an event is a set of outcomes of an experiment or a subset of the sample space.
The total number of marbles = 20
The number of green marbles= 3
The number of blue marbles = 12
The number of red marbles = 5
The probability of choosing a red marble = Number of red marbles / Total number of marbles
= 5/20
The probability of choosing a green marble is = Number of green marbles / New total number of marbles
= 3/19
Therefore,
The probability of randomly choosing a green marble after you have chosen red is;
= 5/20 * 3/19
= 3/68
percentage = 3/68 * 100 = 4.4%
Hence, the probability of randomly choosing a green marble after you have chosen red is 4.4%
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in a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 56 and a standard deviation of 8 using the empirical rule left(as presented in the book\right), what is the approximate percentage of daily phone calls numbering between 40 and 72?
Answers
The approximate percentage of daily phone calls numbering between 40 and 72 is given as follows:
95%.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.For this problem, we have that the measures are within two standard deviations of the mean, as:
56 - 2 x 8 = 40.56 + 2 x 8 = 72.Hence the percentage is of 95%.
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Please answer this correctly
Answers
Answer:
98.5
Step-by-step explanation:
64.4 x 2= 128.8
325.8-128.8=197.0
197 /2 = 98.5
brainliest plzz
Answer:
Hey mate,
here is your answer. Hope it helps you.
Step-by-step explanation:
x+x+64.4+64.4=325.8
2x+ 128.8 =325.8
2x = 325.8 - 128.8
2x = 197
x= 197/2
=98.5 inches