About 28cm
circumference of a circle =radius×3.14
3.14÷circumference of the circle (88cm)=28.04.
About 28cm.
1
Select the correct answer.
Which function defines (f + g)(),
f(t) = ln(2x) – 15
g(x) = 3 sin(I) – 7
=
OA. (f + 9) () = ln(2x) + 3 sin(x) + 22
3a )
OB
B. (f + g)() = ln(2x) + sin(o) – 66
OC. (f + 3)(0) = ln(2x) + 3 sin(a) – 22
(
In
D. ( + g)(x) = ln(2x) – 3 sin(x) = 8
Reset
Next
The addition of the functions f(x) and g(x) will be ln (2x) + 3 sin(x) – 22. Then the correct option is C.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
The functions are given below.
f(x) = ln (2x) – 15
g(x) = 3 sin(x) – 7
Then the addition of the function will be
(f + g)(x) = f(x) + g(x)
(f + g)(x) = ln (2x) – 15 + 3 sin(x) – 7
(f + g)(x) = ln (2x) + 3 sin(x) – 22
Then the correct option is C.
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Answer:
See photo
Step-by-step explanation:
Plato/Edmentum
3/8 ÷ 2/3 and express the answer in simplest form
Answer: 9/16
Step-by-step explanation:
A survey was given to a random sample of 400 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 168 respondents said they were in favor of the plan. Determine a 95% confidence interval for the proportion of people who favor the tax plan, rounding values to the nearest thousandth.
Please help - Timed.
Answer: you seem to be on the right answer
Step-by-step explanation:
(-1,-1)
Answer:
I think that you are correct! I believe the answer is (-1, -1)
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP
Read the numbers and decide what the next number should be. 1 1.25 7 7.50 2 2.25 8
Write 71/9 as a mixed number.
Given the fraction,
\(\frac{71}{9}\)The required mixed number is,
\(\frac{71}{9}=7\frac{8}{9}\)Which equation matches the table?
An equation that matches the table include the following: y = x + 5.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
m represent the slope.x and y represent the points.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (6 - 5)/(1 - 0)
Slope (m) = 1/1
Slope (m) = 1.
At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 5 = 1(x - 0)
y - 5 = x
y = x + 5
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What is the most important characteristic of a correlation coefficient?
a. number of variables included
b. absolute value
c. one tailed
d. two tailed
Answer:
The most important characteristic of a correlation coefficient is the absolute value.
The absolute value of a correlation coefficient represents the strength of the relationship between two variables, regardless of the direction of the relationship. A correlation coefficient can range from -1 to +1, where a value of -1 indicates a perfect negative correlation (i.e., as one variable increases, the other decreases), a value of +1 indicates a perfect positive correlation (i.e., as one variable increases, the other also increases), and a value of 0 indicates no correlation (i.e., there is no relationship between the variables).
The most important characteristic of a correlation coefficient is the absolute value.
The absolute value of the correlation coefficient represents the strength of the relationship between two variables, regardless of its direction. It indicates the degree to which the variables are associated with each other.
By focusing on the absolute value, we can assess the magnitude of the correlation without being influenced by whether it is positive or negative. For example, a correlation coefficient of -0.8 or +0.8 both indicate a strong relationship, while a correlation coefficient of 0 suggests no relationship.
The number of variables included is not a characteristic of the correlation coefficient itself, but rather a consideration in the analysis. One-tailed and two-tailed refer to the type of hypothesis being tested and are relevant in statistical testing. However, the absolute value of the correlation coefficient is crucial in determining the strength of the relationship between variables, making it the most important characteristic to assess in correlation analysis.
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How many ways are there to deal hands of five cards to each of six players from a deck containing 48 different cards
Using the combination formula, it is found that there are \(6.4 \times 10^{32}\) ways to deal the cards to the six players.
The order in which the cards are handed to each player is not important, hence the combination formula is used to solve this question.
What is the combination formula?\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
In this problem:
For the first player, 5 cards are taken from a set of 48.For the second player, they are taken from a set of 43.For the third for a set of 38, for the fourth from a set of 33, for the fifth from a set of 28 and for the sixth from a set of 23, hence:\(T = C_{48,5} \times C_{43,5} \times C_{38,5} \tims C_{33,5} \times C_{28,5} \times C_{23,5}\)
\(6.4 \times 10^{32}\)
There are \(6.4 \times 10^{32}\) ways to deal the cards to the six players.
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9x + 3y = 14 what is y
Air is being pumped into a spherical balloon at the rate of 7 cm³/sec. What is the rate of change of the radius at the instant the volume equals 36n cm³ ? The volume of the sphere 47 [7] of radius r is ³.
the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.
The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.
We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)
7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³
36 = (4/3)r³
27 = r³
r = 3 Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)
(dr/dt) = 7 / (4π(9))
(dr/dt) = 7 / (36π)
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a college has 10 time slots for its courses, and blithely assigns courses to completely random time slots, independently. the college offers exactly 3 statistics courses. what is the probability that 2 or more of the statistics courses are in the same time slot?
Probability that 2 or more of the statistics courses are in same slot is 0.28.
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
probability that 2 or more of the statistics courses are in same slot
=1-P(all 3 are in different slots)
=1-P(select 3 from 10 slots and arrange them)
=1-(10*9*8)/10^3
=0.28
Therefore, probability that 2 or more of the statistics courses are in same slot is 0.28.
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Can someone help me with this geometry volume question ty
Please help me I keep getting long and I do not know what I’m doing
Answer:
-2
Step-by-step explanation:
Trial and error with multiples of 5.
The first one Tried was 15 and
I got kJ and kl= 15. But that’s not right as they are equal now.
Note that the numbers we are trying are the difference between j and k and not where k is,yet
So, I tried 25
K = -27 + 25 = -2
K from l = 3-5(because ratio was five to one) =-2
Hope this helps
Which of the following functions best describes this graph?
10
Answer:
A
Step-by-step explanation:
vertex = (-4, -4)
vertex form:
y = a(x-h)^2 + k
__________
y = (x- (-4))^2 + (-4)
y = (x+4)^2 -4
y = (x+4)(x+4) - 4
y = x^2 + 8x + 16 - 4
y = x^2 + 8x + 12
answer: A
49.012 4 is the underlined digit
The place value of 4 in 49.012.
How to calculate the information?It should be noted that place value is simply used to know the value of a number based on how the number is arranged.
In this case, the place value of 4 in 49.012 is 4 tens.
It should be noted that 4 tens is also the same thing as 40.
Therefore, the correct option is 40.
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4. If you replace a chosen tile each time, then each tile being pulled is an independent event. a. What is the probability of pulling seven consecutive consonants, while replacing the tile each time
\The task is to calculate the probability of pulling seven consecutive consonants from a set of tiles, with replacement each time.
we have a set of tiles, and we want to find the probability of pulling seven consecutive consonants. Since we are replacing the tile after each draw, each pull is an independent event.
To calculate the probability, we need to determine the total number of consonants and the total number of tiles in the set. Let's assume that the set contains a total of n tiles, with c of them being consonants.
For the first draw, the probability of selecting a consonant is c/n, as there are c consonants out of n total tiles. Since we are replacing the tile each time, the probability of pulling a consonant remains the same for each subsequent draw. Therefore, the probability of pulling seven consecutive consonants is (c/n)^7, as we need to multiply the probabilities of each individual draw together.
By substituting the values of c and n into the formula, we can calculate the probability of pulling seven consecutive consonants with replacement from the given set of tiles.
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y=2x^2+2x-4 find the vertex and explain why
Answer:
\(( - 0.5 , - 4.5 )\)
Step-by-step explanation:
Rewrite the equation in vertex form.
Complete the square for
\(2 {x}^{2} + 2x - 4\)
Use the form
\(a {x}^{2} + bx + c\)
to find the values of a, b, and c.
a = 2
b = 2
c = −4
Consider the vertex form of a parabola.
\(a(x + d) ^{2} + e\)
Find the value of d using the formula
\(d = \frac{b}{2a} \)
\(d = \frac{1}{2} \)
Find the value of e using the formula
\(e = c - \frac{ {b}^{2} }{4a} \)
\(e = - \frac{9}{2} \)
Substitute the values of a, d, and e into the vertex form
\(2(x + \frac{1}{2} ) ^{2} - \frac{9}{2} \)
Set y equal to the new right side.
\(y = {2(x + \frac{1}{2}) }^{2} - \frac{9}{2} \)
Use the vertex form,
\(y = a(x - h) ^{2} + k\)
to determine the values of a, h, and k.
a = 2
h = -1/2
k = -9/2
Find the vertex (h,k).
\(( - \frac{1}{2} , - \frac{9}{2} )\)
Which function has an inverse that is also a function?
{(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}
{(–4, 6), (–2, 2), (–1, 6), (4, 2), (11, 2)}
{(–4, 5), (–2, 9), (–1, 8), (4, 8), (11, 4)}
{(–4, 4), (–2, –1), (–1, 0), (4, 1), (11, 1)}
The function has an inverse that is also a function would be {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)} so correct option will be (A).
What is a function?A certain kind of relationship called a function binds inputs to essentially one output. In other words, the function is a relationship between variables and the nature of the relationship.
We have been given that a function is only a function such that there is a unique value of y corresponding to x.
An inverse function is only be a function if the function which is going to be inverse is a function.
The inverse of a function: (x, y) → (y, x)
1. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}
It has unique y- values, the inverse won't repeat x-values, so the inverse is also a function.
Hence, The function has an inverse that is also a function would be {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)} so correct option will be (A).
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jfuwiuhudiwjoqlkdfjdkhkfhhalp
Answer:
What is this question do you need help or you are playing
*need fast answer please * what are some numbers of pushups that bucky will never do in any game ?
It is impossible to determine with certainty which number of pushups Bucky will never do in any game, as this depends on Bucky's physical abilities, training, and determination.
It is possible that Bucky may be able to do a very large number of pushups in a game, or he may not be able to do very many. It is also possible that there may be certain numbers of pushups that Bucky finds more challenging or difficult to do than others, but this would depend on his individual physical abilities and strengths. Ultimately, the number of pushups that Bucky will be able to do in any given game will depend on a variety of factors, and it is not possible to predict with certainty which numbers he will never do.
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Number of push-ups Bucky will never perform in any game is impossible to predict with confidence because it relies on Bucky's physical prowess, training, and willpower.
In a game, Bucky might be able to perform a lot of push-ups or he might not be able to perform many at all. It's also likely that Bucky will find some numbers of push-ups harder or more difficult to complete than others; however, this will depend on his particular physical prowess and capabilities.
In the end, Bucky's ability to do a certain number of push-ups throughout a game will rely on a multitude of variables, and it is impossible to say with certainty certain numbers he will never complete.
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3. Calculer la mesure des angles ADC et ABC de la figure ci-dessous.
Answer:
∠ ADC = 113° , ∠ ABC = 85°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , then
∠ ADC + ∠ ACD + ∠ CAD = 180° , that is
∠ ADC + 39° + 28° = 180°
∠ ADC + 67° = 180° ( subtract 67° from both sides )
∠ ADC = 113°
---------------------------
DA is an angle bisector of ∠ BAC , then
∠ BAD = ∠ CAD = 28° , then ∠ BAC = 56° , then
∠ ABC + ∠ BAC + ∠ ACB = 180° , that is
∠ ABC + 56° + 39° = 180°
∠ ABC + 95° = 180° ( subtract 95° from both sides )
∠ ABC = 85°
Which of these nets would fold up into a box WITHOUT a top?
pls help
Answer:
Step-by-step explanation:
x because you can see its shape like a sqaue and if you take the sides and fold them it would fold up into a box so put X
The total area under a probability distribution equals 1.
A.) True
B.) False
This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.
The area under the probability distribution is a measure of the probability of all the possible outcomes. Since the sum of all the probabilities of all the possible outcomes must be 1, the total area under the probability distribution must also be 1. This is because the probability of an event happening is the area under the curve of the probability distribution at that event. Thus, the total area under the probability distribution must always equal 1.
This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.
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How do you make a table of values for a linear relationship?
To make a table of values for a linear relationship;
Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value
Given,
Linear relationship;
A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.
Here,
We have to make a table of values for a linear relationship;
Make the table and select a range of x values. Fill in the equation with each x value from the left side column. To determine the y value, evaluate the equation in the middle column.Since the table of values really only contains x and y pairs, you can choose to omit the middle column from your table as an optional step.Learn more about linear relationship here;
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Perform the following mathematical operation and report the answer to the appropriate number of significant figures. We know the least precise place value is the 10's place.
67.4+43+30+42.10=?
Answer:182.5
Step-by-step explanation: 67.4 + 43 = 110.4
110.4 + 30 + 42.10
110.4 + 30 = 140.4
140.4 + 42.10
140.4 + 42.10 = 182.5
182.5
Round 182.5 → 182 (Decimals: 0)
Sherpa Sensors Pty Ltd manufactures high-tech temperature sensors for various medical purposes, such as MRI imaging equipment and ultrasound scanners, and electronic applications, such as electrical appliances. There are four distribution methods for the temperature sensors, as shown in Table 1. Because of differing distribution and promotional costs, the product's profitability will vary with the distribution method. In addition, the advertising cost and the personal sales effort required will vary with the distribution method. The following table summarises the sensors' contribution to "profit, advertising cost, and personal sales effort. Sherpa Sensors Pty Ltd has set the advertising budget at $65000, and a maximum of 3000 hours of salesforce time is available for the sales effort at the cost of $45 /hour. Management also decided to produce exactly 6000 sensors for the current production period. Finally, an ongoing contract with the national chain of retail stores requires that at least 1500 units be distributed through this distribution method. Sherpa Sensors Pty Ltd needs to establish a strategy that will provide for the distribution of the sensors to maximise the overall profitability of the sensor production. Decisions must be made about how many units should be allocated to each of the four distribution methods and how to allocate the advertising budget and salesforce effort to each of the four distribution methods. d) Find the optimal solution using Microsoft Excel's Solver. Include the answer report in your file.
To find the optimal solution for maximizing the overall profitability of sensor production for Sherpa Sensors Pty Ltd, Microsoft Excel's Solver tool can be used.
The goal is to determine the allocation of units, advertising budget, and salesforce effort among the four distribution methods. The decision variables include the number of units allocated to each method, the advertising budget allocated to each method, and the salesforce effort allocated to each method.
Constraints include the total number of units produced, the advertising budget, and the salesforce effort limit. By setting up the objective function to maximize the overall profitability, Solver can be used to find the optimal solution. The answer report generated by Solver will provide insights into the optimal allocation strategy.
To solve this problem using Microsoft Excel's Solver, you need to set up the spreadsheet with the relevant data and define the decision variables, objective function, and constraints. The decision variables are the allocation quantities and budgets for each distribution method. The objective function is the overall profitability, which needs to be maximized. The constraints include the total number of units produced, the advertising budget, and the salesforce effort limit. By specifying these parameters and running Solver, it will find the optimal solution that maximizes the overall profitability while satisfying the constraints.
The answer report generated by Solver will provide detailed information about the optimal solution, including the allocation quantities, budget allocations, salesforce effort allocations, and the resulting overall profitability. It will help guide Sherpa Sensors Pty Ltd in making decisions on the distribution strategy to maximize profitability for their temperature sensors.
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A line has a slope of - Which ordered pairs could be points on a parallel line? Select two options.
(-8, 8) and (2, 2)
(-5, -1) and (0, 2)
(-3, 6) and (6,-9)
(-2, 1) and (3,-2)
(0, 2) and (5, 5)
The ordered pairs that could be points on a parallel line are:
(-8, 8) and (2, 2)
(-2, 1) and (3, -2)
Which ordered pairs could be points on a parallel line?Parallel lines have the same slope. Thus, we have to find ordered pairs with a slope of -3/5.
We have:
slope of the line is -3/5.
Thus, m = -3/5
Formula for slope between two coordinates is;
m = (y₂ - y₁)/(x₂ - x₁)
A) At (–8, 8) and (2, 2);
m = (2 - 8)/(2 - (-8))
m = -6/10
m = -3/5
B) At (–5, –1) and (0, 2);
m = (2 - (-1))/(0 - (-5))
m = 3/5
C) At (–3, 6) and (6, –9);
m = (-9 - 6)/(6 - (-3))
m = -15/9
m = -5/3
D) At (–2, 1) and (3, –2);
m = (-2 - 1)/(3 - (-2))
m = -3/5
E) At (0, 2) and (5, 5);
m = (5 - 2)/(5 - 0)
m = 3/5
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you conduct a survey of your small town about having a townwide gargae sale. of those surveyed, 56% are in favor and 44% are opposed. the actual percent could be 5% more or 5% less than the acquired results. write an absolute value equation for the least and greatest percentages that could be opposed. use x for the variable.
In the given statement is:
You conduct a survey of your small town about having a town wide gargae sale. of those surveyed, 56% are in favor and 44% are opposed. the actual percent could be 5% more or 5% less than the acquired results.
Using the absolute value function, we have that:
A. The least percentage is of 39% and the greatest is of 49%.
B. Since the greatest percentage is below 50%, the statement conflicts with the survey data.
What is the absolute value function?
The absolute function is defined by:
|x| = x, x ≥ 0.|x| = -x, x < 0.It measures the distance of a point x to the origin.
For this problem, the difference between the percentage of opposed and 44% can be of at most 5%, hence the absolute value equation is:
|x - 44| = 5.
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Dropped 1. 50 inches raising the seasonal total to 26. 42 inches what was the seasonal total prior to the recent storm?
The seasonal total prior to the recent storm was 76.42 inches.
To calculate the seasonal total prior to the recent storm, we need to subtract the rainfall from the recent storm (50 inches) from the updated seasonal total (26.42 inches).
Let's assume that the seasonal total prior to the recent storm is represented by "x" inches.
So, we can set up the equation:
x - 50 = 26.42
To solve for x, we can add 50 to both sides of the equation:
x - 50 + 50 = 26.42 + 50
This simplifies to:
x = 76.42
Therefore, the seasonal total prior to the recent storm was 76.42 inches.
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