The function f(x) = 2(4)^x can be used to represent the curve through the points (1, 8), (2, 32) and (3, 128). What is the multiplicative rate of change of the function?
A. 2
B. 4
C. 8
D. 16
Answers
The correct answer is B. 4
Related Questions
The gateway arch in st. Louis, mo is approximately 630 ft tall. How many u. S. Nickels would be in a stack of the same height? each nickel is 1. 95 mm thick.
Answers
The gateway arch in st. Louis, MO is approximately 630 ft tall, the same height of the Nickels would be in a stack is 98474.
Height of Gateway Arch in St. Louis, MO = 630ft tall
We are asked, how many nickels would be in a stack of the same
height when 1 nickel is 1.95 mm thick.
Convert height in ft to mm
1 ft = 304.8 mm
630ft = X
After Cross Multiply,
630ft × 304.8mm/1ft
= 192024 mm.
To find how many nickel would be in a stack of the same height
= Total thickness/ Thickness of 1 US dime
= 192024 mm/1.95mm
= 98473.8
≈98474 nickels
Therefore, the number of nickel that would be in a stack of the same height is 98474.
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Which one is NOT a monomial
Possible answer choices
A. 3x - 4
B. 122
C. 14vw
D. 12x2
Answers
This is because 3x-4 is a binomial consisting of the two terms 3x and -4
A monomial has only one term, which choices B through D reflect that.
In a lab experiment, the decay of a radioactive isotope is being observed. At the
beginning of the first day of the experiment the mass of the substance was 1300
grams and mass was decreasing by 14% per day. Determine the mass of the
radioactive sample at the beginning of the 9th day of the experiment. Round to the
nearest tenth (if necessăry).
Answers
Para hacer 600 m de una obra, 30 obreros han trabajado 12 dias a razon de 10 horas diarias. ¿Cuantos dias necesitaran 36 obreros para hacer 900 m de la obra trabajando 6 horas diarias?
Answers
Respuesta:
25 días
Explicación paso a paso:
Dado :
escenario 1
Área = 600 m
Número de días = 12
Número de trabajadores = 30
Tasa = 6
Escenario 2:
Área = 900 m
Número de días = n
Número de trabajadores = 36
Tasa = 6
Igualar los parámetros en cada escenario:
12 / n = 36/30 * 6/10 * 600/900
12 / n = 6/5 * 3/5 * 2/3
12 / n = 6/5 * 1/5 * 2/1
12 / n = 12/25
12 * 25 = 12n
300 = 12n
n = 300/12
n = 25 días
The number of days that 36 workers need at the given rate is 25 days
From the given question, we have 2 scenarios
First case:
Distance worked = 600mNumber of workers = 30 workersDays of wors = 12 daysRate per day = 10 hours per daySecond case:
Distance worked = 900mNumber of workers = 36 workersDays of wors = n daysRate per day = 6 hours per dayTaking the ratios of the distance worked, the number of workers, and rate will give:
12/n = 36/30 * 6/10 * 600/900
12/n = 129600/270000
Cross multiply;
129600n = 12 * 270000
129600n = 3240000
n = 3240000/129600
n = 25
Hence the number of days that 36 workers need at the given rate is 25 days
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a normal population has mean 100 and variance 25.how large must the random sample be if you want the standarderror of the sample average to be 1.5?
Answers
The sample size must be at least 12.
How to find sample size for standard error sample average of 1.5?The formula for the standard error of the mean is:
\(SE = \sigma / \sqrt(n)\)
where SE is the standard error, σ is the population standard deviation, and n is the sample size.
In this case, we are given that the population mean is 100 and the population variance is 25. Therefore, the population standard deviation is:
\(\sigma = \sqrt(\sigma^2) = \sqrt(25) = 5\)
We want the standard error of the mean to be 1.5, so we can set up the following equation:
\(1.5 = 5 / \sqrt(n)\)
Solving for n, we get:
\(\sqrt(n) = 5 / 1.5\)
\(\sqrt(n) = 3.33\)
\(n = (3.33)^2\)
n = 11.0889
Since we need a whole number of samples, we can round up to the next integer and say that the sample size must be at least 12.
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Someone help me please help me!!!
Answers
7. C
8. A
how much more money will you make if you invest $740 at 5.1% interest compounded contiuously for 12 years than if he same amount was invested at 5.1% compounded daily for the same amount of time?
Answers
The amount of money we can make is $0.05.
We have,
P= $710
R= 5.1%
T= 12 year
Compounded Continuously:
A = P\(e^{rt\)
A = 710.00(2.71828\()^{(0.051)(12)\)
A = $1,309.32
Compounded Daily:
A = P(1 + r/n\()^{nt\)
A = 710.00(1 + 0.051/365\()^{(365)(12)\)
A = 710.00(1 + 0.00013972602739726\()^{(4380)\)
A = $1,309.27
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Suppose that the number of inquiries arriving at a certain interactive system follows a Poisson distribution with an arrival rate of 11.35 inquiries per minute. Find the probability of 15 inquiries arriving. a) In a 1-minute interval b) in a 3-minute interval
Answers
Using the Poisson distribution, in a 1-minute interval, the probability is approximately 0.0165, and in a 3-minute interval, the probability is approximately 0.0542.
The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space. It is characterized by a single parameter, λ (lambda), which represents the average rate of events occurring per unit of time or space. In this case, the arrival rate is given as 11.35 inquiries per minute.
a) In a 1-minute interval, we want to find the probability of exactly 15 inquiries arriving. The probability mass function of the Poisson distribution is given by P(X=k) = (e^(-λ) * λ^k) / k!, where X is the random variable representing the number of inquiries arriving. Plugging in the values, we have λ = 11.35 and k = 15. Calculating the probability, P(X=15) = \(\frac{e^{-11.35}*11.35^{15} }{15!}\). This yields approximately 0.0165.
b) In a 3-minute interval, the average number of inquiries would be 3 times the average rate, λ = 11.35 * 3 = 34.05. Using the same formula as before, we calculate P(X=15) =\(\frac{e^{-34.05}*34.05^{1}}{15!}\), which gives us approximately 0.0542.
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Choose Yes or No to tell if the equation is true.
I'll give u brainliest and i'll do anything this is really important
Answers
Answer:
true,true,false,false
Step-by-step explanation:
true it's the amount of decimal places
true: same with this true
false: if it was 10^5 then yes but it's not
false: there is one too many 10s
Ms. Jordan bought a box of 32 granola bars. Every day each of her three children ate one granola bar for lunch. Now there are only 11 bars left. Which equation can be used to find the number of days, n, that the children ate the bars for lunch? 32 = -11 32 = 3n - 11 32 = +11 O 32 3n+ 11
Answers
The calculation for calculating the number of days the youngsters ate the bars for lunch is 11 = 32 - 3x.
What exactly does it mean to "solve an equation"?An equation is a mathematical expression that represents the equivalence of two or more mathematical expressions.
When someone asks you to solve an equation, they typically want to determine the unknown values for which the equation is true (the equality between expressions should hold true for those values).
An equation's solutions are the values of the variables involved in the equation for which the equation holds true.
Given that Ms Jordan purchases a box of 32 granola bars every day, each of her three children consumes one granola bar for lunch, there are only 11 bars remaining.
The algorithm for calculating the number of days the youngsters ate the bars for lunch;
11 = 32 - 3x
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Find the 7th term of the arithmetic sequence. 2, 13, 24, 35, 46,...
Answers
Answer: 68
Step-by-step explanation: Each time the number goes up by 11, you can just add 22 ( 2 more steps to the sequence) to the last one given to get the 7th term
You go to see family in another city. So far you have gone 120 miles. The total trip is 360 miles. What fraction of the total trip , in lowest terms , has been traveled?
Answers
Answer:
1/3
Step-by-step explanation:
120/360 = 12/36 = 2/6 = 1/3
\(g(x) = \frac{3}{x - 4} \)find the domain, range and zeros/intercepts.The domain would be all real numbers not equal to 4. Right?How do I find the range and intercepts?
Answers
You are right about the domain
it is all real values of x except 4
So about the range we must make x subject of the formular so we know the values of y in which g(x) is defined
\(undefined\)u
the 2010 general survey asked 1500 u.s. residents: 'do you think the use of marijuana should be made legal or not? 60% (that is, 0.60(1500)
Answers
According to the survey, 60% of the respondents (or 0.60(1500)) believed that marijuana should be made legal.
The 2010 general survey asked 1500 U.S. residents whether they think the use of marijuana should be made legal or not. According to the survey, 60% of the respondents (or 0.60(1500)) believed that marijuana should be made legal.
Number of respondents: 1500Percentage of respondents in favor of legalizing marijuana: 60%Calculation: 0.60(1500) = 900Number of respondents in favor of legalizing marijuana: 900The 2010 general survey asked 1500 U.S. residents whether they think the use of marijuana should be made legal or not.
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the area of a rectangle ink pad is 35 square cm. The perimeter is 24 cm what are the dimensions?
Answers
Answer:
The dimensions are 5 and 7
Step-by-step explanation:
False positive when you reject a null hypothesis that should have been accepted
type ________ error
Answers
When you reject a null hypothesis that should have been accepted, it is called a type I error or a false positive. This means that the conclusion you reached was not supported by the evidence, and you falsely concluded that there was a significant effect or relationship between the variables being studied.
To avoid false positives, it is important to carefully design experiments and tests, and to use appropriate statistical methods. This includes setting a reasonable level of significance or alpha level, which is the probability of rejecting a null hypothesis when it is actually true.
Additionally, it is important to critically evaluate any positive results and consider alternative explanations for the findings. This can help to ensure that your conclusions are well-supported and not simply the result of chance or bias.
Overall, while false positives can be frustrating, they are a natural part of the scientific process and can be minimized through careful planning, analysis, and interpretation of data. By remaining open-minded and rigorous in our approach, we can arrive at more accurate and reliable conclusions that can advance our understanding of the world around us.
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35 and 50 (make a chart, list all factors, and make factor tree)
Answers
Answer:
35 50
1 2
5 5
7 10
35 25
50
Factor Trees are in the images!
Fourier series math advanced
Question 1 1.1 Find the Fourier series of the even-periodic extension of the function f(x) = 3, for x € (-2,0) (7) (5) 1.2 Find the Fourier series of the odd-periodic extension of the function f(x)
Answers
1.1 The Fourier series of the even-periodic extension of the function f(x) = 3, for x € (-2,0) is as follows:
f(x) = 4/2 + (4/π) * Σ[(2/n) * sin((nπx)/2)], for x € (-∞, ∞)
1.2 The Fourier series of the odd-periodic extension of the function f(x) is as follows:
f(x) = (8/π) * Σ[(1/(n^2)) * sin((nπx)/L)], for x € (-L, L)
Find the Fourier series of the even-periodic extension of the function f(x) = 3, for x € (-2,0).
What is the Fourier series representation of the even-periodic extension of f(x) = 3, for x € (-2,0)?The Fourier series is a mathematical tool used to represent periodic functions as a sum of sinusoidal functions. The even-periodic extension of a function involves extending the given function over a symmetric interval to make it periodic. In this case, the function f(x) = 3 for x € (-2,0) is extended over the entire real line with an even periodicity.
The Fourier series representation of the even-periodic extension is obtained by calculating the coefficients of the sinusoidal functions that make up the series. The coefficients depend on the specific form of the periodic extension and can be computed using various mathematical techniques.
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HELP ME PLEASE FOTO ABOVE
Answers
21.A man borrowed Rs. 50,000 for 3 years at the rate of 12% simple interest but he could pay only Rs. 25,000 at the end of 3 years and
agreed to clear his debt at the end of next two years at the rate of 10 %
annual compound interest. Find how much should he pay to clear his
debt? Also find the amount of interest he paid altogether.
Answers
The amount left to pay after the first 3 years is 50,000 - 25,000 = Rs. 25,000.
The amount of compound interest for the next 2 years is 25,000 * (1 + 0.10)^2 = Rs. 28,250.
So, the total amount to be paid is 25,000 + 28,250 = Rs. 53,250.
The total amount of interest he paid is 18,000 + 28,250 - 25,000 = Rs. 21,250
rewrite the following statements less formally, without using variables. determine, as best as you can, whether the statements are true or false a. there are real numbers u and v with the property that u v < u − v. b. there is a real number x such that x2 < x. c. for all positive integers n, n2 ≥ n. d. for all real numbers a and b, |a b| ≤ |a| |b|.
Answers
a. There are numbers that when multiplied are less than their difference. (True)
b. There is a number whose square is less than itself. (False)
c. For any positive whole number, its square is greater than or equal to the number itself. (True)
d. For any real numbers, the absolute value of their product is less than or equal to the product of their absolute values. (True)
To explain further, the statements are reformulated in a less formal manner without using variables.
a. The statement asserts that there exist some numbers (without specifying which numbers) that, when multiplied together, result in a product smaller than their difference. This statement is true. For example, consider u = 5 and v = 7. In this case, 5 * 7 = 35, which is less than the difference u - v = -2.
b. The statement suggests that there is a number x (without specifying its value) such that its square is less than x. This statement is false. It contradicts the fundamental property that for any real number x, x^2 is always greater than or equal to x. This is because the square of any real number, positive or negative, is either zero or a positive value.
c. The statement claims that for any positive integer n (without specifying a particular value), the square of n is greater than or equal to n itself. This statement is true. It is a fundamental property of positive integers that their squares are always greater than or equal to the original number. For example, when n = 4, 4^2 = 16, which is indeed greater than 4.
d. The statement asserts that for any real numbers a and b (without specifying specific values), the absolute value of their product is less than or equal to the product of their absolute values. This statement is true. The absolute value of the product of two real numbers is always less than or equal to the product of their absolute values. This can be understood by considering different cases, including when both a and b are positive, one is positive and the other is negative, or both are negative. In each case, the inequality holds true based on the properties of absolute values and multiplication.
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The weight (in pounds) of each wrestler on the high school wrestling team at the beginning of the season is listed below. 178 142 112 150 206 130 What is the mean weight of the wrestlers in pounds?
I need an answer asap
Answers
Answer:
The answer toy our problem is, 146 pounds
Step-by-step explanation:
Step 1: Order the numbers from least to greatest
112130142150178206The two middle numbers are 142 and 150. ( Which is the median )
The number between 142 and 150 is 146.
The median weight is 146 pounds.
( To find our middle number of the middle number: )
150 - 142
= 8
8 / 2 = 4
142 + 4 = 146.
Thus the answer our problem is, 146 pounds
Elmer spent the day at the mall. First, he bought five rabbits for $10 each. Later, he bought four cupboards for $70 each. After that, he found a twenty dollar bill. Also, he returned one rabbit. Write the total change to Elmer's funds as an integer.
Answers
Answer:
-300
Step-by-step explanation:
Step 1: Find the amount Elmer's funds decreased after purchasing the rabbits:
Let x represent Elmer's funds.
Since Elmer bought five rabbits for $10 each, he lost $10 5 times.
x - (10 * 5)
x - 50
Thus, Elmer lost (spent) $50 for the 5 rabbits.
Step 2: Find the amount Elmer's funds decreased after purchasing the cupboards:
Since Elmer bought four cupboards for $70 each, he lost $70 4 times:
x - (50 + (70 * 4))
x - (50 + 280)
x - 330
Thus, after purchasing the rabbits and cupboards, Elmer lost $330.
Step 3: Find the amount Elmer's funds increased after finding the twenty-dollar bill:
Since Elmer found a twenty-dollar bill, he gained $20
x - (330 + 20)
x - 310
Step 4: Find the amount Elmer's funds increased after returning one rabbit:
Since Elmer returned one rabbit, he gained $10:
x - (310 + 10)
x - 300
Thus, Elmer's funds changed totally by -$300.
Putting all the information together, we have:
x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10
x - 50 - 280 + 30
x - 330 + 30
x - $300
I will pay Venmo someone 50 dollars if they answer all 25 of my geometry questions please I’m desperate I have pics of all the questions
Answers
Answer:
Q1. A
Q2.C
Q3.C
Q4.D
Q5.C
Q6.D
Q7.C
Q8.D
Q9. A
Q10.D
Q11.B
Q12.B
Q13.A
Q14.A
Q15.C
Q16.C
Q17.B
Q18.D
Q19.A
Q20.B
Q21. A
Q22.B
Q23.D
Q24.C
Q25. A
Step-by-step explanation:
you and your friend toss a coin continuously, if the sequence hh appears first you win, if th appears first your friend wins, who is more likely to win?
Answers
Both has the equal chances of winning first as the probability is same.
We are given that:
There are two coins that are tossed simultaneously.
Sample space is:
S = { HH, HT, TH , TT}
Now, the probability of appearing HH on the coins is:
P = 1 / 4 = 0.25
The probability of appearing TH on the coins is:
P = 1 / 4 = 0.25
So, the probability of anyone winning is the same.
Both has the equal chances of winning.
Therefore, both has the equal chances of winning first as the probability is same.
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2x + x = 4(y - 1)
(Solving for slope and y-intercept)
Answers
Answer:
The slope is 3/4 and the y-intercept is 1
Step-by-step explanation:
2x+x=4(y-1)
3x=4(y-1)
Distributive prop.
3x=4y-4
Changing into slope-intercept form
4y-4=3x
4y=3x+4
y=3/4x+1
The slope is 3/4 and the y-intercept is 1
Answer:
Equation: y = 3/4(x) + 1
Slope: 3/4
Y-intercept: 1
Step-by-step explanation:
1. How do we solve this problem?
To find the slope and y-intercept, we should first isolate the variable, y, on one side to make it easier to find.Step 1: Simplify both sides of the equation.
\((2x + x) = (4)(y) + (4)(-1)\) \(3x = 4y - 4\)Step 2: Flip the equation.
\(4y - 4 = 3x\)Step 3: Add 4 to both sides.
\(4y - 4 + 4 = 3x + 4\) \(4y = 3x + 4\)Step 4: Divide both sides by 4.
\(\frac{4y}{4} = \frac{3x+4}{4}\) \(y = \frac{3}{4}x + 1\)2. Now, the y-intercept form of an equation goes like this: y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. In the place of m, the slope is 3/4. In the place of b, the y-intercept is 1.
{5, 3, 1, -1, ...} find a18
Answers
Answer: The numbers are decreasing by 2. So that means that the eighteenth number would be -29.
Explanation:
{5, 3, 1, -1, -3, -5, -7, -9, -11, -13, -15, -17, -19, -21, -23, -25, -27, -29...}
Simplify 5x - 3(x – 2) – x
Answers
Answer:
x - 2
Step-by-step explanation:
distributive property first since you stick with parentheses first (PEMDAS)
so 3x - 6 is what it would be.. then you would want to think of the equation as 5x - 3x - 2 - x. seems somewhat complicated but to others not so much.
Next you’re gonna just want to subtract, but you should probably make the problem easier so you can just subtract across right? it’d be 5x - 3x - x - 2. that way all the x variables are together and anything else is separate.
5x - 3x is 2x - x or - 1x is x or 1x.
i think just using the variable x for it being 1 is easier so now we have the problem x - 2.
anything else? nope! that’s the simplified equation.
hope that i was able to help :)
The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of o°C at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below O°C (denoted by negative numbers) and some give readings above O C (denoted by positive numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 1.00°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. A quality control analyst wants to examine thermometers that give readings in the bottom 4%. Find the temperature reading that separates the bottom 4% from the others. Round to two decimal places. A. -1.48B.-1.89 C. -1.63 D. -1.75
Answers
Solution :
It is given that the Precision Scientific Instrument company Manufactures thermometers that provide readings at 0 degree Celsius for the freezing point of water.
A quality control analyst examines the thermometers which provide readings in the bottom of 4%.
Using the standard normal table, we get
P(z < z) = 4%
P(z < z) = 0.04
See the probability of 0.04 in the standard normal corresponding to the z-value is = -1.75
Therefore,
P(z < -1.75) = 0.04
z = -1.75
So the temperature reading that separates the bottom of 4% from the other thermometers is - 1.75°C
Therefore correct option is (D). -1.75
An ice cream shop has a make-your-own sundae bar. If there are 20 different flavors of ice cream to choose from, 5 different toppings to choose from, and 3 different sizes, how many different sundaes are possible
Answers
There are 300 different sundaes possible with the given choices of 20 ice cream flavors, 5 toppings, and 3 sizes at the make-your-own sundae bar.
To find the total number of different sundaes possible, we need to multiply the number of choices for each category: ice cream flavors, toppings, and sizes.
Number of ice cream flavors = 20
Number of toppings = 5
Number of sizes = 3
Total number of sundaes = Number of ice cream flavors × Number of toppings × Number of sizes
Total number of sundaes = 20 × 5 × 3
Total number of sundaes = 300
There are 300 different sundaes possible with the given choices of 20 ice cream flavors, 5 toppings, and 3 sizes at the make-your-own sundae bar.
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