Can anyone help me with this?? And show me how to do it please. Algebra 1 Exponential Function rate of change
Answers
Answer:
2
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a , b ] is
\(\frac{f(b)-f(a)}{b-a} \)
Here [ a, b ] = [ - 1, 3 ] , then
f(b) = f(3) = 3² + 1 = 9 + 1 = 10
f(- 1) = (- 1)² + 1 = 1 + 1 = 2
average rate of change = \(\frac{10-2}{3-(-1)} \) = \(\frac{8}{3+1} \) = \(\frac{8}{4} \) = 2
Related Questions
In rhombus LMNO, the diagonals intersect at X. If mZLMO =
32°, find mZMLO.
m.
Answers
Answer:
116
Step-by-step explana
Jake bought 4 T-Shirts He
also bought a pair of pants
that cost $45. He spent $119
total. Write an solve an
equation to find the cost of
egch t-shirt.
Answers
Answer:
T-shirt is x
pants is y -> 2y=45
total is : 4x+2y=119
as we know 2y=45
4x+45=119
4x = 119-45
x= 74/4
each T-shirt is 18.5
For which situation does one quantity change at a constant rate per unit interval relative to another quantity?
Responses
For every day that passes, a person drives 54 miles.
.
For every month that passes, a savings account earns interest at a rate of 1.5%
For every week that passes, a vine doubles in length 2 times a week.
.
For every year that passes, a population of insects increases by 6%
Answers
Answer:
(a) For every day that passes, a person drives 54 miles
Step-by-step explanation:
You want to know the situation in which one quantity changes relative to another at a constant rate.
DrivingThe rate of change is described as 54 miles for each day. This is a constant rate of change. Miles relative to days are described by a linear function.
SavingsWe assume the description means that the balance in the savings account increases by 1.5% with each passing month. While this interest rate is a constant, the amount by which the balance changes each month is not constant. The balance relative to time is described by an exponential function.
VineIf the vine doubles in length twice a week, its length increases by 300% each week. As with savings, this growth rate is constant, but the amount of growth each week is not. The length of the vine is described by an exponential function.
PopulationAs with savings, this growth rate is constant, but the amount of increase each year is not. The population is described by an exponential function.
The situation with a constant rate of change is ...
For every day that passes, a person drives 54 miles.
__
Additional comment
When the quantity is graphed, the "rate of change" refers to the slope of the curve on the graph. The graph of an exponential growth function does not have a constant slope, but has a slope that increases exponentially.
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Suppose that an angle is bisected to form two smaller angles that measure (3+30)° and (5+6)° . What is the measure of the original angle?
°
Answers
Based on the angles addition theorem, the measure of the original angle = 44°.
What is the Angles Addition Theorem?The angles addition theorem states that if an angle is bisected to form two smaller angles, then the sum of the measures of the two smaller angles equals the measure of the original angle that is bisected.
Given that the two smaller angles formed when bisected are: (3+30)° and (5+6)°. Based on the angles addition theorem:
The measure of the original angle = (3+30)° + (5+6)°
The measure of the original angle = 33° + 11°
The measure of the original angle = 44°
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Can anyone give me the answers and like a better explanation than my teacher
Answers
The Area of shaded regions is shown below.
1. Area of shaded region
= Area of rectangle - Area of Triangle
= 9 x 7 - 1/2 x 7 x 6
= 63 - 21
= 42
2. Area of shaded region
= Area of rectangle - Area of semicircle
= 12 - 6.28
= 5.72
3. Area of shaded region
= 6 x 7 + 2x 5
= 42 + 10
= 52
4. Area of shaded region
= 43 x 30 - 2 (3.14 x 10 x 10)
= 1290 - 628
= 662
5. Area of shaded region
= 12 x 8 + 3.14 x 8 x 8 /2
= 96 + 100.48
= 196.48
6. Area of shaded region
= 8 x 10 + 2 x 4 x 2
= 80 + 16
= 96
7. Area of shaded region
= 1/2 x 24 x 24 - 18 x 6
= 288 - 108
= 180
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You paint 1/2 wall in 1/4 hour. At that rate, how long will it take you to paint one wall?
Answers
Answer:
40 minutes is your answer
Answer: It will take a 1/2 hour or 30min to paint one full wall.
Make simple fractions
\(0.(3) = \)
Answers
Let x = 0.(3) Then, 10x = 3.(3) Subtracting the first equation from the second, we get: 10x - x = 3.(3) - 0.(3) 9x = 3 Dividing both sides by 9, we get: x = 1/3
Therefore, 0.(3) can be written as the simple fraction 1/3.
Fact that the ratio of 0.75 to 0.375 is a small whole number is an illustration of?
Answers
The fact that the ratio of 0.75 to 0.375 is a small whole number is an illustration of "Law of Multiple Proportions."
What is Law of Multiple Proportions?When two elements combine to form and over one compound, the weights with one element which combine with such a fixed weight of the second are in a ratio of small whole numbers, according to the law of multiple proportions.
Some key features regarding the Law of Multiple Proportions are-
There are five distinct nitrogen oxides, for example, and the weights of oxygen in mixture with 14 grams of nitrogen are, in ascending order, 8, 16, 24, 32, and 40 grams, or in a ratio of 1, 2, 3, 4, 5. The English chemist John Dalton announced the law in 1803; its verification for a broad range of compounds delivered to be the most powerful evidence in favor of Dalton's theory that matter is made up of indivisible atoms.To know more about Law of Multiple Proportions, here
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The complete question is-
Carbon monoxide can be broken down into carbon and oxygen in a mass ratio of 3:4 or 0.75. Carbon dioxide can be broken down into carbon and oxygen in a mass ratio of 3:8 or 0.375. The fact that the ratio of 0.75 to 0.375 is a small whole number is an illustration of
Excel wants to increase the productivity of its line workers. four different programs have been suggested to help increase productivity. twenty employees, making up a sample, have been randomly assigned to one of the four programs and their output for a day's work has been recorded. you are given the results in the file name ahmadi. State the null and alternative hypotheses.
Answers
The null hypothesis would be that there is no significant difference in productivity between the four programs. The alternative hypothesis would be that there is a significant difference in productivity between at least two of the programs.
In this scenario, Excel is trying to increase the productivity of its line workers and is testing four different programs. A sample of twenty employees has been randomly assigned to one of the programs, and their daily output has been recorded in the file named "ahmadi." We will use these data to determine if any of the programs are effective in increasing productivity. The null and alternative hypotheses can be stated as follows:
Null Hypothesis (H0): There is no significant difference in productivity between the four programs. In other words, none of the programs have a meaningful impact on the productivity of the line workers.
Alternative Hypothesis (H1): At least one of the four programs has a significant impact on the productivity of the line workers, leading to increased output compared to the other programs.
To test these hypotheses, you would typically perform an analysis of variance (ANOVA) on the data provided in the "ahmadi" file. If the ANOVA result is significant, you would reject the null hypothesis and accept the alternative hypothesis, indicating that at least one program effectively increases productivity.
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consider the figure shown on the graph.Which equation represents the line of reflection that maps ABC onto EDF?
Answers
Let's begin by listing out the information given:
A (-1, 0); B (-3, 0); C (-1, 3)
E (2, -3); D (2, -5); F (5, -3)
A = E; B = D; C = F
A (-1, 0) = E (2, -3) = (2--1, -3-0) = (3, -3)
B (-3, 0) = D (2, -5) = (2--3, -5-0) = (5, -5)
C (-1, 3) = F (5, -3) = (5--1, -3-3) = (6, -6)
We observe that x = -y or y = -x
\(y=-x\)Erica, James, Stella, and Kim all did an experiment involving an electrically charged object. Who did repeated trials of his or her experiment? (2 points)
Group of answer choices
Erica
Description Observation
Negatively Charged Balloon + Uncharged Paper The balloon attracts the paper.
Kim
Description Observation
Negatively Charged Balloon + Positively Charged Paper The balloon attracts the paper.
James
Description Observation
Positively Charged PVC Tube + Uncharged Paper The PVC tube attracts the paper.
Stella
Description Observation
Negatively Charged Balloon + Positively Charged PVC Tube The balloon attracts the PVC tube. The balloon attracts the PVC tube. The balloon attracts the PVC tube.
Answers
Answer:
D stella I think
Step-by-step explanation:
What is the measure of circumscribed
O 45°
O 50°
O 90°
O 95°
Answers
The measure of the inscribed angle is equal to 90 degrees
What is an inscribed angleThe inscribed angle theorem mentions that the angle inscribed inside a circle is always half the measure of the central angle or the intercepted arc that shares the endpoints of the inscribed angle's sides. In a circle, the angle formed by two chords with the common endpoints of a circle is called an inscribed angle and the common endpoint is considered as the vertex of the angle.
In this problem, the side length of the square is 5 which forms 90 degrees to all the other sides.
The measure of the circumscribed angle is 90 degree
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Find the minimum and maximum possible values for area of the garden
Answers
Answer:
Smallest: 12.8 square meters
Largest: 13.5 square meters
Step-by-step explanation:
I'm not 100% sure I understand this correctly as it seems like a very strange problem, but here it goes.
The smallest number that rounds to 3.2 is 3.15, and the smallest number that rounds to 4.1 is 4.05.
\(3.15*4.05=12.7575\)
The smallest possible area is 12.8 rounded to the nearest 10th.
The largest number that rounds to 3.2 is 3.24999... and the largest that rounds to 4.1 is 4.14999...
\(3.24999*4.14999=13.4875\)
That rounds to 13.5.
a quality control inspector has drawn a sample of 17 light bulbs from a recent production lot. suppose 30% of the bulbs in the lot are defective. what is the probability that between 3 and 6 (both inclusive) bulbs from the sample are defective? round your answer to four decimal places.
Answers
Answer: This is a binomial distribution problem with parameters n = 17 and p = 0.3, where n is the sample size and p is the probability of a defective bulb. We need to find the probability that between 3 and 6 (both inclusive) bulbs from the sample are defective.
Let X be the number of defective bulbs in the sample. Then X has a binomial distribution with parameters n = 17 and p = 0.3, i.e., X ~ B(17, 0.3).
We want to find P(3 ≤ X ≤ 6). Using the binomial probability formula, we have:
P(3 ≤ X ≤ 6) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)
= (17 choose 3)(0.3^3)(0.7^14) + (17 choose 4)(0.3^4)(0.7^13) + (17 choose 5)(0.3^5)(0.7^12) + (17 choose 6)(0.3^6)(0.7^11)
≈ 0.1566 (rounded to four decimal places)
Therefore, the probability that between 3 and 6 (both inclusive) bulbs from the sample are defective is approximately 0.1566.
Step-by-step explanation:
Which statement explains why 49 is a perfect square?
49 can be multiplied by 49.
49 is equal to 7 plus 7
49 is between 36 and 64
49 is equal to 7 times 7
I need this one asap to..
Answers
Answer:
49 is equal to 7 times 7
Step-by-step explanation:
49 can be multiplied by 49 does not explain why 49 is a perfect square.
49 is not equal to 7 plus 7.
49 is between 36 and 64 does not help in explaining why 49 is a perfect square.
49 is equal to 7 times 7 explains why 49 is a perfect square. A perfect square is an integer that is a square of an integer.
7² = 49
The diagram below shows different layers of sedimentary rocks.
Based on the diagram, which of these inferences is most likely correct?
Layer F was formed earlier than Layer A.
Layer B was formed earlier than Layer E.
Layer G was formed more recently than Layer D.
Layer D was formed more recently than Layer C.
Answers
In conclusion, the most likely correct inference based on the given diagram is that Layer D was formed more recently than Layer C.
The diagram below shows different layers of sedimentary rocks, and based on the diagram, the most likely correct inference is that Layer D was formed more recently than Layer C.
Explanation: The layers of sedimentary rocks on the diagram are given as follows: A, B, C, D, E, F, and G. The principle of superposition states that sedimentary layers are older at the bottom than they are at the top of a rock formation.
As a result, we can infer the relative ages of these layers based on their order and position. Layer C is found underneath layer D and the Principle of Superposition applies.
Therefore, we can conclude that Layer D was formed more recently than Layer C.
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Jude's family is planning a road trip. They are planning a budget of $600 to spend on accommodations. They know that campsites cost $20 per night and hotel rooms cost $140 per night.
Answers
Number of nights = Budget ÷ Cost per night
For campsites:
Number of nights = $600 ÷ $20 per night = 30 nights
For hotels:
Number of nights = $600 ÷ $140 per night = 4 nights approximately (Note: It will be 4.2857, but as it is not possible to stay in fractional nights, we round down to 4 nights).
So, Jude's family can stay for 30 nights in campsites or 4 nights in hotels with a budget of $600.
A second order dynamic plant is described with a state space model below.
A = [ 0 1 ] B = [0 ] C= [1 0] D=0
[ -1 -2] [-1]
There is need to design an observer for real operation. The analysis and design tasks are listed below. a) Discuss in what situation it needs for introducing the observer and what the role of each matrix of (L, M, and N) is in the observer. (the words limit is 80) b) From det[s1 - L], discuss why specify the observer poles with s, = -4 s, =-5 against the plant dynamics. (the words limit is 40) c) Design the state observer with the specified poles s =-4 =-5. d) Show the designed observer block diagram with matrices (L, M, and N)
Answers
a) Situations when an observer needs to be introduced and the role of each matrix: In order to observe the state of a system in practice, an observer must be introduced. The observer's role is to assess the system's state variables based on the system's input and output values, as well as the system's dynamics. The observer consists of three matrices:L: State feedback gain matrix M: Determines the observer's internal dynamics N: Maps the output signal to the observer's inputThe purpose of the observer is to estimate the system's states so that they can be fed back into the control loop.
b) Det[s1 - L] discussion: When designing an observer, the choice of observer poles has a significant impact on the system's efficiency. If the observer poles are placed far too close to the system poles, the observer may become unstable and diverge from the true state values. Alternatively, if the observer poles are placed far too far from the system poles, the observer may not be sensitive enough to changes in the system's states.In this context, det[s1 - L] refers to the determinant of the system's matrix minus the state feedback gain matrix. To ensure that the observer's poles are not too close or too far from the system's poles, this determinant must be non-zero.
c) Designing state observer: The observer's gain matrix L can be determined using the Ackerman formula.
By using Ackerman formula, the observer gain matrix is:L = acker(A', C', [s1, s2])L = [21 12]s1 = -4; s2 = -5 The observer's matrix M is given by:M = A - LC = [0 1;-1 -2] - [21; 12][1 0]M = [-21 -12;-21 -8]
The observer's matrix N is given by:N = B - LD = [0] - [21; 12][0]N = [0]d) Observer block diagram with matrices:Based on the information given above, the observer's block diagram with matrices L, M, and N can be presented in the following diagram:state observer block diagram
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Quincy has $10 in a savings account. The interest rate is 6%, compounded annually. Write an exponential equation for the growth of the balance in her account. (1 point)
f(t) = 10(1.06)t
f(t) = 10(0.06)t
f(t) = 1.06(10)t
f(t) = 0.06(10)t
Answers
An exponential equation for the growth of the balance in her account is \(10(1.06)^t\).
What is Compound interest?Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Compound Interest =\(P(1+r/n)^rt\)
We have been given that Quincy has $10 in a savings account. The interest rate is 6%, compounded annually.
The compound interest will be;
Compound Interest =\(P(1+r/n)^rt\)
\(10(1+6/100)^t\\\\10(1+ 0.06)^t\\\\10(1.06)^t\)
Hence, an exponential equation for the growth of the balance in her account is \(10(1.06)^t\).
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which of the following is a measure of dispersion? a. quartiles b. interquartile range c. percentiles d. geometric mean
Answers
b. interquartile range is a measure of dispersion.
The correct answer is b. interquartile range.
Here, we have,
The interquartile range is a measure of dispersion that represents the range between the first quartile (25th percentile) and the third quartile (75th percentile) of a dataset. It gives an indication of the spread of the middle 50% of the data and is less affected by outliers compared to the range.
Quartiles (a) and percentiles (c) are positions or values within a dataset and are used to divide the data into equal parts. While they can provide information about the distribution of the data, they are not direct measures of dispersion.
The geometric mean (d) is a measure of central tendency and is calculated as the nth root of the product of n numbers. It is not a measure of dispersion.
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Which of the following is equivalent to 3/8 A) 0.3 B) 0.45 C) 0.6 D) 0.375
Answers
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given fraction
\(\frac{3}{8}\)STEP 2: Convert to decimal
\(\frac{3}{8}=0.375\)Hence, the equivalent is 0.375
hi guys
whsts 2,0000+234.0000=
Answers
Answer:
2340002
Step-by-step explanation:
glwhbEqFVGRBAhfrwlghaebg
Answer:
20234.0
Step-by-step explanation:
20000+234.0000=20234
i hope this helps you
have a nice day!!
Find the greatest common factor of 15y^3 and 9n^4
Answers
The answer is 3. The only common factor between the numbers is 3, because 15 is 3 times 5, while 9 is 3 times 3.
Answer:
Greatest common factor: 3
Step-by-step explanation:
Both 15 and 9 have a factor of 3, and that is the biggest number that they share. The answer doesn't have letters in it because y and n are not related.
2xー1+2-2
solve this and show work
Answers
Answer:
2x - 1
Step-by-step explanation:
2x−1+2−2
=2x+−1+2+−2
Combine Like Terms:
=2x+−1+2+−2
=(2x)+(−1+2+−2)
=2x+−1
Answer:
x = 1/2Step-by-step explanation:
We need to add -1 to each side of this to get rid of the -1 in the equation.
2x - 1 + 2 = 2
2x + 1 = 2
We need to subtract 1 from each side.
2x = 1
x = 0.5
Checking:
2(0.5) - 1 + 2 = 2
1 - 1 = 0 + 2 = 2 (Checks out)
ANSWER: x = 1/2Consider the expression 3n4 − 5n3 + 9. What is the coefficient of n3?
Answers
Answer:
The coefficient of n sub 3 will be the -5.
Simplify each complex fraction. 2/x+4 + 2 / 1 + 3 / x+4
Answers
The simplified form of the complex fraction is (4x + 14) / (x + 5).
To simplify the complex fraction, we need to combine the fractions in the numerator and denominator. The given complex fraction is 2 / (x + 4) + 2 / (1 + 3 / (x + 4)).
In the first step, let's simplify the denominator of the second fraction in the numerator. 3 / (x + 4) can be rewritten as 3 / 1 * 1 / (x + 4), which is equal to 3 / (x + 4).
Now, we can combine the fractions in the numerator by finding a common denominator. The common denominator is (x + 4). Multiplying the first fraction by (1 + 3 / (x + 4)) / (1 + 3 / (x + 4)) and the second fraction by (x + 4) / (x + 4), we get (2 * (1 + 3 / (x + 4)) + 2 * (x + 4)) / (x + 4).
Expanding and simplifying the numerator, we have (2 + 6 / (x + 4) + 2x + 8) / (x + 4).
Combining like terms in the numerator, we get (4x + 14) / (x + 4).
Therefore, the simplified form of the complex fraction is (4x + 14) / (x + 4).
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Marc eats an egg sandwich for breakfast every morning and a big burger for lunch every day. The egg sandwich has a total of 250 calories. If Marc has 5,250 calories for breakfast, how many and lunch for the week in total, how many calories are in one big burger? Develop an equation using a tape diagram. (2 points ) Solve the equation.
Answers
Answer:
Step-by-step explanation:
he ate 21 egg sandwiches
Plz help I don’t wanna fail it’s not much!!!!!
Answers
Answer:
40 feet
Step-by-step explanation:
24^2+32^2=x^2
solve for x
x=40 feet
What is 1/4 of 3 3/4 teaspoon of cinnamon
Answers
Answer:1/2 tsp
Step-by-step explanation:
Hey there!
1/4 of 3 3/4
= 1/4 * 3 3/4
= 1/4 * 3 * 4 + 3/4
= 1/4 * 12 + 3/4
= 1/4 * 15/4
= 1(15)/4(4)
= 15/16
Therefore, your answer should be:
15/16
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
what is interval notation example ?
Answers
Interval notation is a way of representing a range of values on a number line. It is written using brackets and parentheses to indicate whether the endpoints are included or excluded from the interval.
For example, the interval notation for the range of values between 1 and 5 (inclusive) would be [1, 5]. The square brackets indicate that both 1 and 5 are included in the range.
If the endpoints are excluded, we use parentheses. For instance, the interval notation for the range of values between 1 and 5 (excluding 1 and 5) would be (1, 5).
In general, we use square brackets for closed intervals (where the endpoints are included) and parentheses for open intervals (where the endpoints are excluded).
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