1. Without graphing, determine whether the function represents exponential growth or exponential deca
Then find the y-intercept.
y=4(5/6)^x
Answers
The function y=4(5/6)ˣ is an exponential decay with a y intercept of 4.
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
If b > 1, this is an exponential growth and if b < 1, this is an exponential decay.
Given the function:
y=4(5/6)ˣ
The y intercept is at x = 0:
5/6 < 1
y=4(5/6)⁰ = 4
The function y=4(5/6)ˣ is an exponential decay with a y intercept of 4.
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Related Questions
A linguist at a large university was studying the word length of papers submitted by students en
humanities programs. From a random sample of 25 papers, the linguist counted the number of words
used in each paper. The 95 percent confidence interval was calculated to be (20,995, 22,905).
Assuming all conditions for inference are met, which of the following is a correct interpretation of the
interval?
Answers
Answer:
We are 95 percent confident that the mean word length for all papers submitted by students in humanities programs is between 20,995 words and 22,905 words
Step-by-step explanation:
The confidence interval is used to predict the mean for the entire humanities program, not just the sample.
A recent study reported that 60% of the children in a particular community were overwoight or obese. Suppose a random sample of 200 public school children is taken from this community. Assume the sample was taken in such a way that the conditions for using the Central Limit Theorem are met. We are interested in finding the probability that the proportion of overveightfobese children in the sample will be greater than 0.57. Complete parts (a) and (b) below. a. Before doing any calculations, determine whether this probability is greater than 50% or less than 50%. Why? A. The answer should be less than 50%. because 0.57 is less than the population proportion of 0.60 and because the sampling distribution is approximately Normal. B. The answer should be greater than 50%, because the resulting z-score will be positive and the sampling distribution is approximately Normal. C. The answer should be greater than 50%, because 0.57 is less than the population proportion of 0.60 and because the sampling distribution is approximately Normal. 0. The answer should be less than 50%, because the resulting z-score will be negative and the sampling distribution is approximately Normal.
Answers
The probability that the proportion of overweight or obese children in the sample will be greater than 0.57 is less than 50%.
The first paragraph summarizes the answer, stating that the probability is less than 50% because 0.57 is less than the population proportion of 0.60, and the sampling distribution is approximately normal.
In the second paragraph, we can explain the reasoning behind this conclusion. The Central Limit Theorem states that for a large sample size, the sampling distribution of the sample proportion will be approximately normal, regardless of the shape of the population distribution. In this case, the sample was taken in a way that meets the conditions for using the Central Limit Theorem.
Since the population proportion of overweight or obese children is 0.60, any sample proportion below this value is more likely to occur. Therefore, the probability of obtaining a sample proportion greater than 0.57 would be less than 50%. This is because the resulting z-score, which measures how many standard deviations the sample proportion is away from the population proportion, would be negative.
To summarize, the probability of the proportion of overweight or obese children in the sample being greater than 0.57 is less than 50% because 0.57 is less than the population proportion of 0.60, and the sampling distribution is approximately normal.
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please help me in this question
Answers
Answer:
30
Step-by-step explanation:
use Pythagoras theorem at first to find the third side of the triangle it will come 5
then use the formula to find the area of triangle
A=(5x12)/2=30cm2
To find the height of this tree, Luis marked the tree at eye level, 1.8 meters above the ground. He measured 32 m from the base of the tree and then held a 5-cm ruler vertically in front of his eye until the ruler just obscured the tree above the mark. Using a string tied through a hole in one end of the ruler, Luis found that the distance from his eye to the ruler was 4.7 centimeters. What was the height of the tree? Round to the nearest meter.
Answers
Answer:43.5
Step-by-step explanation:You have to Add to get your answer.I'll show you how I got 43.5:
1.8+32=33.8
33.8+5=38.8
38.8=4.7=43.5
Your answer is: 43.5
hope this was helpful:)
What happens to the mean of the data set shown below if the number 3 is added to the data set? A. The mean increases by 2. B. The mean does not change. C. The mean decreases by 0.25. D. The mean increases by 1.
Answers
Answer: B : Mean Does Not change
Step-by-step explanation:
Answer: The answer is C
Step-by-step explanation:
I took the quiz and put B and got it wrong so don't trust his answer
an inverse relationship in which one factor increases as another factor decreases represents?
Answers
A Negative correlation coefficient means that as one variable increases, the other decreases (i.e., an inverse relationship).
I did the first question already I need help with the second pls :>
Answers
Answer:
The box is considered a cube so,
4 x 4 = 16
56 divided by 16 = 3.5 is your height
1/2 x 1/2 x 1/2 = 1/8.
56 divided by 1/8 = 7 cubes
A cell phone plan charges $39.95 a month plus 15 cents per text message sent and 15 cents per text message received. Using s to represent the number of text messages sent in one month and r to represent the number of text messages received in one month, the following equation can be used to calculate the total monthly cost, c:c = 39.95 + 0.15(s + r)If it is known that the total monthly cost is $53.45 and 63 text messages were received, solve for s, the total number of text messages sent.
Answers
Answer:
I think 15 times t
Step-by-step explanation:
2 apples cost 2 dabloons.
How much does 1 apple cost
Answers
slope of the points (11,-20) and (3,-20)
Answers
Answer:
the slope is 0.
Answer:
Slope is zero
This is the last one i think
Answers
the slope is 3 because the y value increases by 3
Dilate the figure below by a factor of half the respect to the origin
Answers
Solution
- The original image has the following coordinates
\(\begin{gathered} A(0,3) \\ B(3,3) \\ C(3,0) \\ D(0,0) \end{gathered}\)- In order to dilate the figure by a factor of 1/2 with respect to the origin, we simply need to multiply each coordinate point by 1/2.
- This is done below:
\(\begin{gathered} A(0,3)\to A^{\prime}(0,\frac{3}{2}) \\ B(3,3)\to B^{\prime}(\frac{3}{2},\frac{3}{2}) \\ C(3,0)\to C^{\prime}(\frac{3}{2},0) \\ D(0,0)\to D^{\prime}(0,0) \end{gathered}\)- We can plot the points of the original and dilated image as follows.
- The original image is shown below:
- The dilated image is:
- An image with both figures is given below for a better perspective
Solve each system of inequalities and indicate any three solutions.
{2-x<=0
x-4<=0
Answers
The solution to the given inequalities will be x≤2 and x≤4.
What is inequality?The relation between two expressions that are not equal employs a sign such as ≠ ‘not equal to, > ‘greater than, or < ‘less than. The greater than and less than sign is used to represent inequalities.
Given inequalities are x-0.8>0 and -5x<10. The inequalities will be solved as:-
(I) 2 - x ≤ 0
Take negative -x to the right.
x ≤ 2
(II) x -4 ≤ 0
Solve the inequality x - 4 ≤ 0.
x ≤ 4
Therefore, the solution to the given inequalities will be x≤2 and x≤4.
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what's the answer !!
\( \sqrt{44 \times 2 \times 2 \times 11} \)
Answers
Answer:
44
Step-by-step explanation:
\( \sqrt{44 \times 2 \times 2 \times 11} \)
\( \sqrt{88 \times 2 \times 11} \)
\( \sqrt{176 \times 11} \)
\( \sqrt{1936}\)
\( \sqrt{ {44}^{2} } \)
Pull terms out from under the radical, assuming positive real numbers.
\(44\)
Hope it is helpful.....Step-by-step explanation:
\( \sqrt{44 \times 2 \times 2 \times 11} \\ = \sqrt{11 \times 4 \times 4 \times 11} \\ = \sqrt{11 \times 11 \times 4 \times 4} \\ = 11 \times 4 \\ = 44\)
in this scenario, suppose that our data points x1, x2, ..., xn are fixed, and that c is the only variable. using calculus, determine the value of c that minimizes f(c).
Answers
In the given scenario, we have to determine the value of c that minimizes f(c). The data points are x1, x2,....xn which are fixed and c is the only variable.Let's assume that f(c) = g(x1, x2,...,xn, c) is a function of one variable. In this case, we can find the minimum or maximum of the function by differentiating it with respect to c and equating it to zero.
Let's differentiate the function f(c) with respect to c: $f'(c) = \frac{df}{dc} = \frac{\partial g}{\partial c}$ (partial derivative of g with respect to c)Since we are interested in finding the minimum value of f(c), we have to check whether this critical point is a minimum or a maximum by analyzing the second derivative of f(c). So let's differentiate f'(c) with respect to c: $f''(c) = \frac{d^2f}{dc^2} = \frac{\partial^2g}{\partial c^2}$If $f''(c)>0$, then the critical point is a minimum, and if $f''(c)<0$, it is a maximum. If $f''(c) = 0$, then we can't say anything about the nature of the critical point.
If we are interested in finding the global minimum, we also have to check the endpoints of the interval on which c is defined.I hope that helps!
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Find the slope of the secant line for f(x) = -x^2 + 20
Answers
Answer:
250
Step-by-step explanation:
(-1, -11) and (-6, -7) in simplified form please!
Answers
Y=-13x - 24
The teacher recommends that students read for 20 minutes each night how many pages will the students complete
Answers
The number of pages read by the student at the constant rate in 20 minutes is 10 pages.
What is termed as the constant rate?In math, a constant rate is the exclusion of acceleration. A function with such a constant rate, in general, has a second derivative of 0. The function would be a straight line if plotted on standard graph paper because the change in y (or rate) would've been constant. Whenever the value of x increases, a value of y does not change.That is, the y value does not change, and the graph is just a horizontal line.For the given question,
The rate at which the student reads the book is given by equation;
y = (1/2)x.
Consider the data from the table given.
For 1 minutes the pages read is 0.5.
From the recommendation of 20 pages by the teacher.
Thus, for 20 min, put the value x = 20 in the equation.
y = (1/2)×20
y = 10 pages.
Thus, the number of pages read by the student at the constant rate in 20 minutes is 10 pages.
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The complete question is-
A student reads at a constant rate in her chapter book, Where the Red Fern Grows. This can be described by the equation
y = (1/2)x. The chart above is complete. The teacher recommends that students read for 20 minutes each night. How many pages will the student complete?
Find the general solution of the given differential equation.
(x + 1) dy/dx + (x + 2)y = 2xe^-x
y=
Answers
The solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.
How to solve the given differential equation (DE)?To solve the given differential equation (DE), we can use the integrating factor method. The steps are as follows:
1. Multiply both sides of the DE by the integrating factor, which is the exponential of the integral of the coefficient of y. In this case, the coefficient of y is (x + 2), so the integrating factor is e^(∫(x+2)dx) = e^(x^2/2 + 2x).
So, we have: (x + 1) e^(x^2/2 + 2x) dy/dx + (x + 2) e^(x^2/2 + 2x) y = 2x e^(x^2/2 + 2x) e^(-xy)
2. Notice that the left-hand side of the DE is the product of the derivative of y with respect to x and the integrating factor, so we can apply the product rule of differentiation to obtain:
d/dx [ e^(x^2/2 + 2x) y ] = 2x e^(x^2/2 + 2x) e^(-xy)
3. Integrate both sides of the previous equation with respect to x to obtain:
e^(x^2/2 + 2x) y = - e^(-xy) + C
where C is the constant of integration.
4. Solve for y by dividing both sides by the integrating factor:
y = [- e^(-xy) + C] e^(-x^2/2 - 2x)
This is the general solution of the given DE.
Note that the solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.
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Question 2 of 10
The graphs below have the same shape. What is the equation of the blue
graph?
g(x) = ?
f(x) = x2
w
g(x) =
Answers
Answer: it’s c
Step-by-step explanation:
Just took it and it’s correct
The equation of graph of the transformed function is g ( x ) = ( x + 4 )² - 3
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the first function be represented as f ( x )
Now , the value of f ( x ) = x²
Let the second function be g ( x )
Now , the vertex of the function is at A ( -4 , -3 )
When the function is shifted left by 4 units and down by 3 units , we get
g ( x ) = ( x + 4 )² - 3
Hence , the transformed function is g ( x ) = ( x + 4 )² - 3 and the graph is plotted
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what is the value of x?
Answers
Answer:
x=5
Step-by-step explanation:
im close to ranking up btw
Answer:
X = 5
Step-by-step explanation:
All angles have to add up to 180°
Hope this helps. Pls give brainliest.
an experiment consists of tossing 4 unbiased coins simultaneously. the number of simple events in this experiment is question 20answer a. 10 b. 8 c. 16 d. 25
Answers
The number of simple events in this experiment is 16.
The correct answer to the given question is option c.
The probability of an event can be calculated by dividing the number of favorable outcomes by the number of possible outcomes. A simple event is one in which only one of the outcomes can occur. For example, if a coin is tossed, a simple event would be the outcome of the coin being heads or tails.
The total number of possible outcomes in the experiment of tossing 4 unbiased coins simultaneously is 2⁴, since there are two possible outcomes for each coin. Thus, the total number of possible outcomes is 16.
Each coin has two possible outcomes: heads or tails. If all four coins are flipped, there are two possible outcomes for the first coin, two possible outcomes for the second coin, two possible outcomes for the third coin, and two possible outcomes for the fourth coin. Therefore, the total number of possible outcomes is 2 × 2 × 2 × 2 = 16.
Therefore, the number of simple events in this experiment is 16, which is option (c).
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Find the probability that a randomly selected fertilized chicken egg takes between 19 and 21 days to hatch.
Answers
Therefore, the probability of a fertilized chicken egg taking between 19 and 21 days to hatch is relatively high. However, it is important to note that there may be some variation in the time it takes for eggs to hatch based on individual circumstances.
The probability that a randomly selected fertilized chicken egg takes between 19 and 21 days to hatch depends on several factors such as the breed of the chicken, temperature, and humidity. However, on average, most chicken eggs take around 21 days to hatch. Therefore, the probability of a fertilized chicken egg taking between 19 and 21 days to hatch is relatively high. However, it is important to note that there may be some variation in the time it takes for eggs to hatch based on individual circumstances.
The probability that a randomly selected fertilized chicken egg takes between 19 and 21 days to hatch depends on several factors such as the breed of the chicken, temperature, and humidity. However, on average, most chicken eggs take around 21 days to hatch.
Therefore, the probability of a fertilized chicken egg taking between 19 and 21 days to hatch is relatively high. However, it is important to note that there may be some variation in the time it takes for eggs to hatch based on individual circumstances.
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Students are playing a trivia game that has 3 topics: history, science, and math. Each player spins a spinner with 8 equal sections to get the topic of
their question. The students have answered a total of 48 questions, of which 20 were history questions and 10 were science questions.
How many sections of the spinner are most likely labeled math? Enter the answer in the box.
Answers
Therefore, three sections of the spinner are most likely labeled math.
The students are playing a trivia game, and the game has three different topics that the players can choose from. These three topics are history, science, and math. Every player has to spin a spinner that has eight equal sections to determine which topic they will play.
To solve this question, we need to understand that the spinner has eight equal sections.
There are three different topics in the game, and therefore, it is most likely that there are three sections labeled math.
We can calculate the probability of getting the math topic by dividing the number of math sections by the total number of sections.
Hence, \(\frac{3}{8} = 0.375\)
So, the probability of getting the math topic is 0.375.
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the measure of ∠abc in the figure is x°. which of the following is an expression for β° ?
Answers
An expression for the measure β° is 180 - x
The correct answer is an option (d)
We know that the sum of four angles of the quadrilateral is always 360°
In the attached quadrilateral angle A and angle D measures 90 degrees respectively.
The measure of ∠ABC in the figure is x° and the measure of ∠BCD is β°
From above statement for quadrilateral ABCD we have,
⇒ ∠A + ∠B + ∠C + ∠D = 360°
⇒ 90° + x°+ β° + 90° = 360°
⇒ x° + β° = 360° - 180°
⇒ x° + β° = 180°
⇒ β = 180 - x
Therefore, the required expression is β = 180 - x
The correct answer is an option (d)
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Find the complete question below.
in 5-8, find each reciprocal. 5/9 8 7/3 1/12
Answers
the answer
155
324
5/9 (87/3(1/12)= 155/324
Find the value of the expression 60 -16/2+10(3)
HELP ME
Answers
Answer:
82
Step-by-step explanation:
60 - 16/2 + 10(3)
60 - 16/2 + 30 multiplication
60 - 8 + 30 division
52 + 30 addition or subtraction in order from left to right
82
Question content area top
Part 1
At a factory, two machines pack bottles into boxes for shipping. Machine A can pack 8 boxes per minute, and Machine B can pack 11 boxes per minute. Both machines have been packing boxes for some time, and the difference between the number of boxes that Machine B has packed and the number of boxes that Machine A has packed is less than 200. Write and solve an inequality to find the possible lengths of time to the nearest second that the machines have been working. Describe the possible solutions.
Answers
Machines A and B worked for 66 minutes and 6 seconds.
What are inequalities:An inequality is a mathematical statement that compares two quantities using one of the inequality symbols: "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).
Inequalities can be solved just like equations, with the goal of finding the set of values that satisfy the inequality.
Here we have
Machine A can pack 8 boxes per minute, and Machine B can pack 11 boxes per minute.
Let Machines A and B work for 'x' minutes
Number of boxes packed by Machine A = 8x
Number of boxes packed by Machine B = 11x
The difference between the number of boxes that Machine B has packed and the number of boxes that Machine A has packed is less than 200.
=> | 11x - 8x| < 200
=> 3x < 200
Divide by 3 into both sides
=> 3x/3 < 200/3
=> x < 66.67
=> x < 66.6
Therefore,
Machines A and B worked for 66 minutes and 6 seconds.
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Choose the three decimals that make the equation true 68.05 68.12 680.2 68.006 68.3 68.049 68.1
Answers
It can be noted that the decimals that fit into the equation will be 68.05, 68.3, and 68.006.
How to calculate the equationYour information is incomplete as the original equation isn't given. Therefore, an overview will be given.
Let's assume that the statement is that you should find three decimals where the addition equals 204.086
In this case, you've to look at the decimals and add the three that will give the number above. In this case, the three decimals will be:
68.05 + 68.3 + 68.006
= 204.086
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NEED HELP ASAP!!!Does anyone know the answer to this
Answers
Answer:Y intercept is (0,4)
axis of symmetry is -3
Step-by-step explanation:
Answer:
Step-by-step explanation:
