The committee can be chosen in 99.98.97.96.95 different ways.
What is a combination?
A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.
Here, we have
Given
The 5 equal members of the terraforming committee of the united martian colonies are randomly chosen from the council of 99 leaders.
We have to find out how many different ways can this committee be chosen.
For this, we concluded that the committee can be chosen in 99.98.97.96.95 different ways.
Hence, the committee can be chosen in 99.98.97.96.95 different ways.
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What is the formula of equation?
The formula of an equation is a mathematical expression that is used to represent the relationship between two or more variables
It is written in the form of a mathematical statement that expresses the relations between the variables. The equation is written using symbols such as +, -, =, and other mathematical operators to denote the relationships between the variables. The equation can be used to solve problems and to find unknown values. By using the equation, it is possible to determine the values of the unknowns given the values of the knowns. for an example such as x+2=4.
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Which graph shows a function whose inverse is also a function?
If g(x) is the inverse of f(x), what is the value of f(g(2))?
It is discovered that the (1) graph represents a function whose inverse is also a function using the concept of an inverse function.
What is a graph?The set of ordered pairs is the graph of a function f in mathematics, where these pairs are Cartesian coordinates of points in two-dimensional space and so form a subset of this plane in the typical situation when x and f(x) are real integers.
To develop a graph is to make a diagram that depicts the relationship between two or more objects.
Make a sequence of bars on graph paper as an example of a graph.
Since there is only one value of x in the first graph for any value of y, the inverse is also a function, making this the right answer.
The inverse is not a function in the second graph since, for instance, y = 0 when x = -1 and when x = 1.
For instance, in the third graph, the inverse is not a function because y = -3 when x = 0 and x = 2.
For instance, in the fourth graph, y = 1 for two different values of x, proving that the inverse is not a function.
Therefore, it is discovered that the (1) graph represents a function whose inverse is also a function using the concept of an inverse function.
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Correct question:
Which graph shows a function whose inverse is also a function?
Complete the following statement
Answer: B they are parallel
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Lines that are both perpendicular to a given line are parallel.
To prove that the triangles are similar by the sss similarity theorem, which other sides or angles should be used? mn and sr mn and qr ∠s ≅ ∠n ∠s ≅ ∠o
To prove that the triangles are similar by the SSS similarity theorem, we use MN corresponds to QR, also ∠S ≅ ∠O
Two triangles are comparable if the measurements of their corresponding sides are proportionate. Additionally, if the measurements of two sides in one triangle are proportional to the measurements of the corresponding sides in another triangle and the included angles are congruent, the triangles are similar.
Similar figures
Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides is in the same proportion.
From the image, MN corresponds to QR, also ∠S ≅ ∠O
To prove that the triangles are similar by the SSS similarity theorem, we use MN corresponds to QR, also ∠S ≅ ∠O
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The radius of the base of a cone is decreasing at a rate of 222 centimeters per minute. The height of the cone is fixed at 999 centimeters. At a certain instant, the radius is 131313 centimeters. What is the rate of change of the volume of the cone at that instant (in cubic centimeters per minute)?.
If the radius of the base of a cone is decreasing at rate of 2 cm/minute and the height is kept constant at 9 cm, the rate of change of the volume at radius 13 cm is 489.4 cm³/minute
To calculate the rate of change, we need to take the derivative of the variables with respect to time.
The volume of a cone is given by:
V = 1/3 . πr²h
Where:
r = radius of the base
h = height
Since the height of the cone is held constant, then the derivative with respect to time is:
dV/dt = 1/3 h. 2πr dr/dt
Parameters given:
dr/dt = 2 cm/minute
h = 9 cm
r = 13 cm
Hence,
dV/dt = 1/3 x 9 x 2π x 13 x 2
dV/dt = 489.4 cm³/minute
Hence, at radius 13 cm, the rate of change of the volume is 489.4 cm³/minute
It looks like there was typos in your question, most probably your question was:
The radius of the base of a cone is decreasing at a rate of 2 centimeters per minute. The height of the cone is fixed at 9 centimeters. At a certain instant, the radius is 13 centimeters. What is the rate of change of the volume of the cone at that instant (in cubic centimeters per minute)?
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What is the constant of proportionality in this proportional relationship?
x 2 4 6 8
y 5/6 1 2/3 2 1/2 3 1/3
Responses
12
5
12/5
5/12
The constant of proportionality in this proportional relationship is (D) 5/12.
What is the constant of proportionality?The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality.
Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality.
So, the constant of proportionality formula:
y = kx ⇒ k = y/x
Now, calculate as follows:
(A)
k = y/x
k = 5/6 / 2
k = 5/6 * 1/5
k = 5/12
(B)
k = y/x
k = 5/3 / 4
k = 5/3 * 1/4
k = 5/12
Similarly, we can say that (C) and (D) will also be k = 5/12.
Therefore, the constant of proportionality in this proportional relationship is (D) 5/12.
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Complete question:
What is the constant of proportionality in this proportional relationship?
x 2 4 6 8
y 5/6 1 2/3 2 1/2 3 1/3
Responses
a. 12
b. 5
c. 12/5
d.5/12
What’s the multiplicity for number 5
The zeros of the function, along with their multiplicities and effects, are given as follows:
Zero of -4, multiplicity 2, turning effect.Zero of -5/2, multiplicity of 5, crossing effect.Zero of 1, multiplicity of 1, turning effect.What are the zeros of the function, along with their multiplicities and effects?The zeros of the function are given by the zeros of the linear factors.
The linear factors are given as follows:
2x + 5.x + 4.x - 1.Then the zeros are given as follows:
x = -5/2, as 2x + 5 = 0 -> x = -5/2.x = -4, as x + 4 = 0 -> x = -4.x = 1, as x - 1 = 0 -> x = 1.Then the multiplicities are given by the exponents, and the effects are defined according to the multiplicities, as follows:
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The profit, P(x), that Rivka's Delivery Service makes from delivering packages between local businesses is P(x), where x is the number of $0.10 price increases for each delivery. Use the graph below to answer the question.
Graph with x-axis labeled as number of price increases, and the y-axis labeled as profit. The curve begins at (0, 50), increases to (2.5, 81.25), and then decreases through (6.531, 0).
What is the approximate number of price increases needed to maximize profit?
0
2.5
50
81
The approximate number of price increases needed to maximize profit is 2.5
How to determine the number of price?From the question, we have the following parameters that can be used in our computation:
x = number of price increases
y = Profit
Also from the question, we have
Begins at (0, 50)
Increases to (2.5, 81.25)
Decrease through (6.531, 0)
This means that
Maximum = (2.5, 81.25)
Recall that
x = number of price increases
So, we have
x = 2.5
Hence, the number of price increases is 2.5
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Which graph represents y as a function of x?
I will give 100 points for help because I feel that's a good trade
Answer:
The last graph that is a straight line represents y as a function of x
Step-by-step explanation:
In order for a graph to be considered a function, it can't intercept the same value twice. To test this, use the vertical line test to see if the graph hits the line twice. If it does, then it is not a function. But if the line hits the graph only once, then it is a function.
find an equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is 5xy.
The equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is 5xy is [tex]e^{\frac{5x^2}{2} }[/tex] .
The slope of the curve is 5xy.
Therefore:
dy/dx = 5xy
dy/y = (5x)dx
Then,
The integrate both sides giving us
ln(y) = (15x²)/2 + C
Since, the curve passes through (0,1) .
Therefore, x=0 and y=1 for solving 2
ln(1) = 0/2 + C
0 = 0 + C
⇒ C = 0
We now,
substitute C back in and isolate y
ln(y) = (15x²)/2
⇒ y = e(15x²) / 2
Therefore, The answer is y = [tex]e^{\frac{5x^2}{2} }[/tex]
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What is the quotient of 2 1/4 and 5/8?
Answer:42/5.
21*8=168
4*5=20
168 divided by 20 is 8.4 which is 42/5
A major automobile company claims that its new electric powered car has an average range of more that 300 miles. A random sample of 40 new electric cars was selected to test the claim. Assume that the population standard deviation is 12 miles. A 5% level of significance will be used for the test. A) what would be the consequences of making a type ii error in this problem? b) compute the probability of making a type ii error if the true population mean is 305 miles. C) what is the maximum probability of making a type i error in this problem?
Answer:
Step-by-step explanation:
urmom
a group of scientists discovered a small creature at the bottom of the ocean that they called a "piknit". when this interesting creature dies, it explodes itself into a number of baby piknits called gogles. the scientists randomly selected 20 piknits from the sea-floor and measured their respective weights in grams. after the piknits died they counted the number of gogles that each piknit produced. they wanted to know if the weight of the piknits can be used to predict the number of gogles.
As per the given correlation, the appropriate null and alternative hypothesis for calculating number of goggles is
H0 : No linear relation
H1 : there is a relation
What is meant by correlation?
In math, correlation is referred as a statistical measure that expresses the extent to which two variables are linearly related (meaning they change together at a constant rate).
And it is a common tool for describing simple relationships without making a statement about cause and effect.
Based on the given question, a group of scientist randomly selected 20 piknits from the sea-floor and measured their respective weights in grams.
And we also know that, they wanted to know if the weight of the piknits can be used to predict the number of gogles.
Here from the given information, the null hypothesis : H0 : There is no linear relationship between the weight of piknits and the number of goggles
And the Alternative hypothesis : Ha: There is a linear relationship between the weight of piknits and the number of gogles
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A certain tar i 3. 6 x 10^2 light year from the earth. One light year i about 5. 9 x 10^12 mile how far from the earth in mile i the tar
Answer:
Could you please explain your question with proper English?
Step-by-step explanation:
Thank you.
a ladder 25 feet long is leaning against a wall that is perpendicular to level ground. the bottom of the ladder is 7 feet from the base of the wall. if the top of the ladder slips down 4 feet, how many feet will the bottom of the ladder slip?
8 feets will the bottom of the ladder slip.
What is pythagora's theorem?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.In ΔABC
AC² = AB² - BC² (∴Pythagoras theorem)
AC = √25² - 7²
AC = √625 - 49
AC = √576
AC = 24 feet
As after sliping length of ladder remains same ⇒ DE = 25 feet and feet 4 feet.
Let say x be the length of how much the ladder slips.
New height = DC = AC - AD = 20 feet
EC = (x + 7 ) feet
In ΔDEC,
DE² = DC² + EC² (∴Pythagoras theorem)
25² = 20² + (x + 7)²
(x + 7)² = 225
x + 7 = 15
(∵ x+7)>0, We can't take negative value)
x = 8 feet
Hence, 8 feets will the bottom of the ladder slip.
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Can the triangles be proven congruent if so how?
Triangles can be proven congruent by using the congruency theorems - SSS, SAS, ASA, and AAS.
Congruency is shown by the sign (≅). It is when the given figures have the same shape and size.
To prove that the given triangles are congruent there are some rules, one of which it must satisfy in order to prove its congruency. The theorems are stated below-
SSS rule: if 3 sides of the given triangles are equal, then the triangles are congruent.
SAS rule: if 2 sides and an angle of the given triangles are equal, then the triangles are congruent.
ASA rule: if 2 angles and a side (in the middle of the angles)of the given triangles are equal, then the triangles are congruent.
AAS rule: if 2 angles and a side(adjacent to the angles) of the given triangles are equal, then the triangles are congruent.
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Express the area of the entire rectangle. Your answer should be a polynomial in standard form.
The standard size of the rectangle's area is x² + 12x + 35
Given:
a diagram that depicts the polynomial that denotes a rectangle's length and width.
The rectangle's area is equal to its length x width.
Given that length is equal to x + 7 and width is equal to x + 5, the area is equal to length plus width.
Add the numbers in brackets: Area = x2 + 5x + 7x + 35
Area = x2 + 12x + 35
A quadrilateral with equal angles and parallel opposite sides is referred to as a rectangle. We are surrounded by numerous rectangular objects. The length and width of a rectangular shape are the two dimensions that define it. The rectangle's length and width are its longer and shorter sides, respectively. We will learn about the properties of the rectangle shape in this chapter.
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Full Question = Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
x+7 x+5
a toy store manager wants to display 7 identical stuffed dogs, 4 identical stuffed cats, and 3 identical stuffed teddy bears on a shelf. how many different arrangements can be made?
120120 Different number of arrangements can be made.
7 identical stuffed dogs
4 identical stuffed cats
3 identical stuffed teddy bears
Total number of objects a toy store managers want
to display = 14.
We know formula to arrange n objects in which p are identical:
There are n!/p! ways to arrange n objects in a row, and p of those ways are exactly the same.
Similarly for this problem we can say:
Different number of arrangements possible.
Here in this question value of n =14 total number of objects.
Total number of arrangements possible for 14 objects is 14! but some objects are duplicate that may be counted more than ones so we have to divide them.
number of arrangements = 14!/ (7!*4!*3!).
by solving this we get
number of arrangements = 120120.
So we can say 120120 Different number of arrangements can be made.
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Is it wrong to split an infinitive?
A word is put between to and the verb while splitting an infinitive. In terms of grammar, splitting an infinitive is acceptable.
In other cases, it might even be more logical to do so. An infinitive is a verb's to form, such as "to go" or "to be."
When it is said that infinitives should never be split, it means an adverb should never come before the verb in the sentence "to confidently proceed."
As we know split infinitive is one in which the word "to" and the verb in the base (infinitive) form of the verb are separated by one or more words.
Adverbs are the words that split infinitives the most frequently.
Example,
Jacob went to band practice and came home with a sunburn.Lucas makes it a habit to only watch the stunts the skateboarders did.To learn more about infinitives
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What is the slope of a line of (- 1/5 )( 2 5?
Answer:
0
Step-by-step explanation:
The formula to find slope is:
plug in both set of parenthesis into the equation
m = 5-5 / -1 - 2
Solve numerator (top) and denominator (bottom)
m = 0 / -3
Solve, 0 divided by -3
=0
g provide an example of a positive externality and explain: 1) why it should be considered a positive externality and 2) what could be done in order to internalize the externality.
What is externality?
A cost or benefit connected to the creation or consumption of a good or service is known as an externality. Externalities have an impact on parties that are not involved in a product's production or consumption.
1) Positive externality says:
An advantage of creating or using a product is known as a positive externality. For instance, because people learn and develop skills for careers and their lives, education is a beneficial externality of school.
The example follows all the rules of positive externality, so for that it is an positive externality.
2) Through market mechanisms, governmental regulation, self-governing organizations, or a combination of these institutions, externalities can be internalized. We advise taking the institutional approach since it will cost the company the least overall (the sum of technology, management, and transaction costs).
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Which table shows a function that is decreasing only over the interval (–1, ∞)? Group of answer choices A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 4, negative 3, negative 1, 2, 1, negative 6. A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 3, negative 5, negative 7, negative 6, 1, negative 1. A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 5, negative 1, 1, 0, negative 4, negative 8. A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 1, negative 3, negative 5, negative 2, negative 1, 2.
The table that shows a function that is decreasing only over the interval (–1, ∞) is circled on the image given at the end of the answer.
How to determine the behavior of the function?The behavior of a function is classified as either increasing, decreasing or constant, as follows:
Increasing: as x increases the function increases, that is, the second column of the table shows in the bottom row greater values than in the row we are taking as parameter.Decreasing: as x increases the function decreases, that is, the second column of the table shows in the bottom row lesser values than in the row we are taking as parameter.Constant: as x increases the function remains constant, that is, the second column of the table shows in the bottom row equal values than in the row we are taking as parameter.In this problem, we want a function that is decreasing only over the interval (–1, ∞), hence:
It is not decreasing for x < -1.It is decreasing for all values of x such that x > -1.More can be learned about decreasing functions at https://brainly.com/question/1503051
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what is the solution to the equation below? 5c+4=2
(c-5)
explain how you got your answer
Answer: c = -14 over 3 (c = -14/3)
Step-by-step explanation:
1. Distribute: 5c + 4 = 2(c - 5) --> 5c + 4 = 2c - 10
2. Subtract 4 From Both Sides: 5c + 4 = 2c - 10 --> 5c + 4 - 4 = 2c - 10 - 4
3. Simplify: 5c = 2c - 14
4. Subtract 2c From both sides: 5c = 2c - 14 --> 5c - 2c = 2c - 14 - 2c
5. Simplify: 3c = 14
6. Divide Both Sides By The Same Factor: 3c divided by 3 = -14 divided by 3
7. Simplify: c = -14 over 3
Linsey bought 3 bags of jolly
ranchers that weighed 18 ounces
each. Bonnie bought 2 bags of jolly
ranchers that weighed 2 pounds
each. Who bought more jolly
ranchers and why?
Bonnie bought more jolly because the weight of her 2 bags is more than that of Linsey.
What is a pound weight?The pound or pound-mass is a unit of mass used in British imperial and United States customary systems of measurement.
If each Linsey's bag of jolly weighs 18 ounces then 3 bags would weigh 18 x 3 = 54 ounces
If each Bonnie's bag of jolly weighs 2 pounds then the 2 bags would weigh 2 x 2 = 4 pounds.
converting 4 pounds to ounces at the rate of 16 ounces per pound we have 16 x 4 = 64 ounces
So Bonnie bought more jolly than Linsey as the weight of the bags of Bonnie is heavier than that of Linsey.
In conclusion Bonnie bought more than Linsey as the weight of bags of Bonnie outweighs Linsey's
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How do you solve 4 linear equations?
The easiest way to solve 4 linear equations is to use the substitution method. This involves substituting the values of one equation into the other equations until you are left with a single equation that can be solved for the remaining variable.
if you have the following four linear equations:
A + B = 10
A - B = 2
A + C = 12
A - C = 3
You can substitute A = 10 - B into the third and fourth equations to get:
10 - B + C = 12
10 - B - C = 3
Then you can add the two equations together and solve for C:
2B + 2C = 15
2C = 15 - 2B
C = (15 - 2B) / 2
Once you have C, you can substitute it into one of the other equations to solve for B:
A + B = 10
A = 10 - C
B = 10 - (15 - 2B) / 2
B = 5 - (15 - 2B) / 2
2B = 10 - 15
2B = -5
B = -2.5
Now you have both B
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What is the range of the function?
all real numbers
O. all real numbers greater than or equal to 0
all real numbers greater than or equal to 11
all integers greater than or equal to 11
Answer:
all integers greater than or equal to 11
ethan buys a video game on sale . if the video game useully costs $39.99 and it was on sale for 20% off how much did ethan pay?
Answer:
31.992 dollars
Step-by-step explanation:
39.99 times 80%
=31.992
How does the closure property relate to the addition of polynomials?
For the Polynomials to be closed under closure property for the operation of addition if the addition operation produces another polynomial.
Closure property states that when a set of numbers is closed beneath any arithmetic operation such as subtraction, addition, division, and multiplication and is performed on any two numbers of the set with the reply being another number from the set itself. When including polynomials, the factors and their exponents don't alter. As it were their coefficients will possibly alter. This ensures that the sum has factors and exponents which are as of now classified as having a place in polynomials. Polynomials are closed beneath the addition.
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Please help me with this
100 POINTS HELP An import is a good or service brought into a country from another country. A law firm in Argentina consults for a business in Brazil. Which country is importing?
A. Brazil
B. both
C. Argentina
Answer: The answer is A: Brazil
explanation: Brazil already gets imports from Argentina IRL