2. (1 point each) Let f(x) = √x and g(x) = 1/x. In the space
provided, compute each of the following, if possible:
(a) f(36)
(b) (g+f)(4)
(c) (f · g)(0)

Answer: Non proportional

Step-by-step explanation:

To know if the values given are proportional or not, we will use the formula:

y = kx

where

y = number of organisms

x = number of minutes

k = constant of proportionality

After 5 minutes, a bacteria colony has 1.3 million organisms. Using the formula, y = kx

1,300,000 = 5k

k = 1,300,000 / 5

k = 260,000

After 12 minutes, the same colony has 41.5 million organisms. Using y= kx

41,500,000 = 12x

x = 41500000 / 12

x = 3458333.8

After 15 minutes, the colony has grown to 101.3 million organisms.

y = kx

101,300,000 = 15k

k = 101,300,000 / 15

k = 6753333.8

It is a non-proportional relationship as the constant of proportionality is different for each.

In mathematics, the use of "es" and "son" can refer to different concepts.

"Es" is typically used when talking about powers or exponents. An exponent is a number that indicates how many times a base number is multiplied by itself. The base number is written before the exponent, and the exponent is written as a small number to the right and above the base number.

For example, in the expression "2^3" (read as "two to the power of three"), the base number is 2 and the exponent is 3. This means that 2 is multiplied by itself 3 times, or 2 x 2 x 2 = 8.

On the other hand, "son" is used to indicate a mathematical operation known as "summation." In mathematics, summation is the addition of a sequence of numbers.

The summation notation is represented by the Greek letter capital sigma “Σ” (sigma) and an index, which is the variable that is being summed, followed by the limits of the sum and the mathematical expression. For example, the summation notation Σ(n=1)^3 (n+1) is read as “the sum of (n+1) as n goes from 1 to 3”. That will be (1+1) + (2+1) + (3+1)=6

In summary, when doing math, it is proper to use "es" when talking about powers or exponents, and "son" when talking about summation or adding a sequence of numbers.

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Answer:

not a factorable number i think

Step-by-step explanation:

Step-by-step explanation:

I think you first have to calculate a°,this can be done by first finding c°

c°=180-125

=55°

opposite angles in a quadrilateral add up to 180

therefore a°=180-55

=125

therefore angle d

180-125

=55

I hope this helps

Answer:

First number is 300 second in 320

Step-by-step explanation:

let x be the first number

let x + 20 be the second

620 = x + (x +20)

620 = 2x + 20

620 - 20 = 2x

600/2 = 2x/2

x= 300

x + 20 = 320

Define variable for each number, sum of the 2 variable must equal 620 then isolate for x and calculate the sum of the first and second number

the numbers are 300 and 320.

You can solve this by using the equation x+ (x+20) = 620.

Answer:

2 I guess or what you mean with replace

Step-by-step explanation:

but you replace it you still have the 5 apple so not sure

The Coordinates of M, the midpoint of UV is (1, 6).

Coordinates are numbers which determine the position of a point or a shape in a particular space (a map or a graph).

To calculate the coordinates of M, the midpoint of UV, use the formula below.

Coordinates of M (x,y) = [(x₁+x₂)/2,(y₁+y₂)/2)]..................... Equation 1

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the Coordinates of M is (1, 6).

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On a circle with a radius of 4 and center at (0, 0), to find the x and y coordinates at an angle of 180 degrees (or π in radian measure), we can use the trigonometric functions.

At 180 degrees, the x-coordinate will be 0, as it lies on the y-axis. The y-coordinate can be found by using the sine function.  Using the equation y = r * sin(θ), where r is the radius and θ is the angle in radians, we can substitute the values. In this case, r is 4 and θ is π (since 180 degrees equals π radians).

Therefore, the x-coordinate is 0 and the y-coordinate is 4 * sin(π) = 0. So, the x-coordinate is 0 and the y-coordinate is also 0.
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Answer:

A) Rational

B) Irrational

C) Rational

D) Irrational

Step-by-step explanation:

Irrational numbers cannot be expressed as a ratio of two number, whereas rational numbers can be. 81 can be expressed as 9*9 whereas, 89 cannot be expressed as ratio of two numbers.

Answer:

Step-by-step explanation: Since the rectangle sits within the larger circle, let's look at it this way:

Area of Shaded Region = Area of Circle - Area of Rectangle

OR

(X) =( pi * r^2 ) - (rectangle length * rectangle width)

Now we fill in the numbers where we know the numbers:

(X) = (pi * (12 cm)^2) - (3cm * 10cm)

(X) = (pi * 144cm^2) - (30 cm^2)

(X) = 144pi - 30

(X) = 452.39 - 30

(X) = 422.39 cm^2

Natural numbers are strictly only plain numbers like no percents or integers, such as 1, 2, 3, 4, 5, 6 etc. Natural numbers are whole numbers and positive, so 0 would not be considered natural since it is not positive or negative

Rational numbers are numbers like 1, -100, .33, -10000, 2.4, etc it can be ALMOST anything, rational numbers fit every category but one IRRATIONAL

Irrational numbers are numbers like pie (3.145.......) it goes on forever and ever if the number never stops and repeats its called a repeating decimal, (HUGE TIP, IF YOU CAN MAKE IT A FRACTION IS IS ALMOST ALWAYS RATIONAL)

Answer:

Y = 40

X = 101

W = 20

Step-by-step explanation:

All of the triangles Angles should equal 180!

Answer:

60 degrees

Step-by-step explanation:

hii so basically theres this rule called vertical angles and this is where if one angle is vertical (or opposite) to an angle which you know the degree for, then the angle verticle to it is the same. so <2 is 60 degrees as well. hope you understand

Answer:

The answer is 60 degrees because the circle consists of a vertical angle. So no matter how much you move a line, the other side of the angle will always match.

More explanation:

Vertical angles are a pair of opposite angles formed by intersecting lines. In the figure, ∠1 and ∠3 are vertical angles. Vertical angles are always congruent . So, in this figure, ∠1≅∠3 and ∠2≅∠4 .

Have the best day ever! :D

Answer:

1.3

Step-by-step explanation:

The given graph represents a quadratic function with negative leading coefficient, hence it opens down.

c) Its vertex is its maximum and the function is increasing before reaching vertex and decreasing after it.

The vertex is at (-2, 8) so the domain on which the function is increasing is:

d) The x-intercepts of the graph are x = - 6 and x = 2. The function is positive between the x-intercepts and negative outside, so:

the Nash equilibrium is not necessarily the best or most desirable outcome for the players involved. It simply represents a stable state where no player has an incentive to unilaterally deviate from their chosen strategy.

To determine the Nash equilibria in a game, we need to analyze the strategies of each player and identify the combinations of strategies where no player has an incentive to unilaterally deviate.

Given the options:

1. (P1=Shot, P2=Shot)

2. (P1=No shot, P2=No shot)

3. (P1=Shot, P2=No shot)

4. (P1=No shot, P2=Shot)

Let's analyze each combination:

1. (P1=Shot, P2=Shot):

If both players choose to shoot, they both face the risk of being shot and getting injured. Neither player has an incentive to deviate from this strategy, as changing to "No shot" would expose them to the risk of being shot without being able to retaliate. Therefore, (P1=Shot, P2=Shot) is a Nash equilibrium.

2. (P1=No shot, P2=No shot):

If both players choose not to shoot, they avoid the risk of being injured. Again, neither player has an incentive to unilaterally deviate from this strategy, as changing to "Shot" would expose them to the risk of being injured without gaining any advantage. Therefore, (P1=No shot, P2=No shot) is a Nash equilibrium.

3. (P1=Shot, P2=No shot):

If Player 1 chooses to shoot while Player 2 chooses not to shoot, Player 1 has an advantage and can potentially eliminate Player 2 without being injured. In this scenario, Player 2 may have an incentive to deviate from "No shot" and switch to "Shot" to protect themselves. Therefore, (P1=Shot, P2=No shot) is not a Nash equilibrium.

4. (P1=No shot, P2=Shot):

Similarly, if Player 1 chooses not to shoot while Player 2 chooses to shoot, Player 2 has an advantage and can potentially eliminate Player 1 without being injured. In this scenario, Player 1 may have an incentive to deviate from "No shot" and switch to "Shot" to protect themselves. Therefore, (P1=No shot, P2=Shot) is not a Nash equilibrium.

Based on the analysis, the Nash equilibria in this game are:

- (P1=Shot, P2=Shot)

- (P1=No shot, P2=No shot)

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The area of the irregular figure will be equal to the sum of area of triangle and the area of the rectangle.

The required area can be determined as,

Thus, the required area of the irregular figure is 426 square feet.

Answer:D

Step-by-step explanation:

Answer:

its 2,713

Step-by-step explanation:

i did test

Answer:

See the answer below

Step-by-step explanation:

Given data

We are given that the equation for the growth of the flower is

h=13+2.5w

From the expression we can see that 13 represents the initial height of the flower before it was planted

The experimental design which is used in the study is Completely randomized design.

Completely Randomized design may be defined as a technique in which all the solutions are assigned at random so that each questions receive all the possible solutions. According to the question we know that the sample size is 100 volunteers who are suffering from chronic pain. Now, out of the 100 volunteers, 50 males and 50 females are chosen. Further out of the 50 males, 25 males are randomly assigned to the treatment group while the other 25 males are assigned to a control group. Since, the treatments are randomly assigned completely, each of the volunteers have an equal chance of receiving the treatments.

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Answer:

200 +50x

Hope This Helps!

The dependent variable of interest in examining whether the degree of parental involvement differs based on students' grade in school is the degree of parental involvement.

In this scenario, the independent variable is the students' grade in school (i.e., first, second, third, etc.). The dependent variable is the variable that is expected to be influenced by the independent variable. In this case, the dependent variable of interest is the degree of parental involvement.

The degree of parental involvement refers to the level or extent to which parents are engaged in their child's education and school-related activities. It can encompass various aspects, such as attending parent-teacher meetings, volunteering at school, helping with homework, and participating in school events.

By examining whether the degree of parental involvement differs based on students' grade in school, researchers or educators aim to explore any potential patterns or differences in parental involvement as children progress through different grade levels. This investigation can provide insights into how parental involvement may vary across grade levels and inform strategies to enhance parental engagement in education at specific stages of a child's schooling. Thus, the dependent variable of interest is the degree of parental involvement.

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Using the provided values with the data for the per ride fee and per mile cost, The answer is 10 miles.

The term "cost" can have a variety of meanings depending on the context in which it is used. In general, it refers to the amount of money or resources that must be expended in order to acquire or produce something. In a business setting, cost typically refers to the expenses associated with manufacturing or acquiring a product or service, such as materials, labor, and overhead. In a personal finance context, cost might refer to the expense of purchasing a good or service, such as a car or a vacation.

Selling price, also known as the "price point" or "retail price," is the amount at which a product or service is offered for sale to the customer. It is the final price that the customer pays, which includes all costs associated with producing and bringing the product or service to market, as well as any profit margin that the seller wishes to make. The selling price is determined by a number of factors, such as the cost of production, competition, market demand, and the seller's desired profit margin.

total = 11.5

remaining = 11.5-4 =  7.5

distance  =  7.5 /0.75 =10 miles

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Answer:

2

Step-by-step explanation:

1) substitute a=6 into 36/3a:

36/3×6

2) calculate: 36/3×6 ->2

Answer:

we conclude that:

Step-by-step explanation:

A dilation is a transformation which generates an image that is the same shape as the original object but in a different size.

The image can be obtained by multiplying the measure of the original object by a scale factor.

If the scale factor > 1, the image is stretched

If the scale factor < 1, the image is reduced

If the scale factor = 1, the image and object will be congruent

For example, if we multiply the measure of the coordinates of the vertex A(2, 2) of a triangle by a scale factor of 2, the image A' is stretched as the scale factor > 1.

Dilation with scale factor 2, multiply by 2.

A(2, 2) → (2(2), 2(2)) = A'(4, 4)

So, the image point A'(4, 4) is enlarged.

Dilation with scale factor ½, multiply by ½.

A(2, 2) → (2(1/2), 2(1/2)) = A'(1, 1)

So, the image point A'(1, 1) is reduced.

Therefore, we conclude that:

Answer:

Find f(x) given that f'(x) = 10x4 - 12x³ + 8e-4x + 7 and f(0) = -9. {8 pts}

Step-by-step explanation:

Suppose that $696 is invested at 9.19% interest compounded quarterly. How much is in the account after 12 years? Round your answer to the nearest cent; do not enter the $ sign.mmer 2022 ome llabus odules norlock wickly Attendance Fades marthinking Online toring edia Gallery y Medial HW 4.1: Exponential Functions Score: 111.67/170 10/17 answered Question 11 < >. $3000 are invested in a bank account at an interest rate of 10 percent per year. Find the amount in the bank after 5 years if interest is compounded annually. Find the amount in the bank after 5 years if interest is compounded quaterly. Find the amount in the bank after 5 years if interest is compounded monthly. Finally, find the amount in the bank after 5 years if interest is compounded continuously

Step-by-step explanation:

To identify how long each desk is, divide 27 feet by the 12 desks. (Given values)

\(\frac{27}{12} = 2\frac{1}{4}\) \(or\) \(2.25\)

Each desk is 2.25 ft long.

Check:

\(2.25 \times 12 = 27\)

Correct.