9/4 ÷ 3/8 answer it you you get 59

Applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.

Trigonometric ratios are defined as the values of all trigonometric functions based on the right-angled triangle's side ratio. The trigonometric ratios of any acute angle in a right-angled triangle are the ratios of its sides to that angle.

Reference angle (∅) = 60

Adjacent = 4√3

Opposite = ?

tan 60 = opp/adj

tan 60 = Opp/4√3

√3 = opp/4√3

Opposite = √3 × 4√3

Opposite = 12

Reference angle (∅) = 60

Adjacent = 4√3

Hypotenuse = ?

cos 60 = adj/hyp

cos 60 = 4√3/hyp

hyp = 4√3/cos 60

hyp = 4√3/1/2

hyp = 4√3 × 2

hyp = 8√3

Therefore, applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.

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The equivalent annual cost (EAC) of Model A is $2,332.60, while the EAC of Model B is $2,094.81. The EAC represents the annual cost of owning and operating the motorcycle over its expected life, taking into account the initial cost, annual maintenance costs, and the opportunity cost of capital.

To calculate the EAC, we use the formula:

EAC = (C + (M × A)) × D

Where:

C = Initial cost

M = Annual maintenance cost

A = Annuity factor

D = Discount factor

For Model A, the initial cost is $8,600 and the annual maintenance cost is $840. The expected life of the motorcycle is 6 years, so the annuity factor is calculated as follows: A = (1 - (1 + r)^(-n)) / r, where r is the discount rate (10% or 0.10) and n is the number of years (6). The annuity factor for Model A is 4.1119. The discount factor is calculated as (1 + r)^(-n), which is 0.5645. Plugging these values into the formula, we get EAC = ($8,600 + ($840 × 4.1119)) × 0.5645 = $2,332.60.

For Model B, the initial cost is $15,100 and the annual maintenance cost is $690. The expected life of the motorcycle is 10 years, so the annuity factor is calculated as A = (1 - (1 + r)^(-n)) / r, where r is 0.10 and n is 10. The annuity factor for Model B is 7.6068. The discount factor is calculated as (1 + r)^(-n), which is 0.3855. Plugging these values into the formula, we get EAC = ($15,100 + ($690 × 7.6068)) × 0.3855 = $2,094.81.

Therefore, the equivalent annual cost for Model A is $2,332.60 and for Model B is $2,094.81. Based on these calculations, Model B has a lower EAC and would be the more cost-effective choice for the family pizza parlor in terms of annual costs.

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Answer:

food booth 2,125

game booth 1,495

El valor que satisface D es 188.

El modelo matemático será así:

D/d = 12(resto 8)

si escribimos 8 como resto de D, entonces:

(D-8) /d=12

D-8= 12d o se puede escribir D= 12d+8

luego sustituya D= 12d+8 por D+d= 203

D+d= 203

(12d +8) +d= 203

13d= 203-8

13d= 195

re=15

sustituir d=15 en D+d= 203

D+d= 203

D+15=203

D=203-15

D=188

El modelo matemático es una forma de interpretación humana al traducir o formular problemas existentes en forma matemática, de modo que el problema pueda resolverse utilizando las matemáticas.

El uso principal de los modelos matemáticos es ayudar a las personas a comprender los problemas y simplificarlos para que puedan resolverse.

, los siguientes son algunos de los usos que se obtienen al utilizar un modelo matemático, a saber:

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Answer: 3444 boys, 4182 girls

Let there be 14x boys and 17x girls. Then there are 31x total students. Since 31x = 7626, x = 246. Then there are 14(246) = 3444 boys and 17(246) = 4182 girls.

i hope this was helpful! :D

Answer: boys = 3444 , girls = 4182

3444:4182

Step-by-step explanation:

14(246)= 3444

17(4182)= 4182

4182+3444= 7626

Answer:

The cylinder with maximum volume has a radius of √(20 / 3π) and a height of 0. The maximum volume is V = π(20 / 3π)^2(0) = 0

Step-by-step explanation:

Let's assume the height of the cylinder is also variable and denoted by "h", and the radius of the cylinder is denoted by "r". The surface area of the cylinder is given by:

A = 2πrh + 2πr^2

The cost of the packaging is $0.10 per square cm, and the total cost of packaging should not exceed $4. Therefore, we can write:

0.10(2πrh + 2πr^2) ≤ 4

Simplifying this inequality, we get:

πrh + πr^2 ≤ 20

Now, we want to maximize the volume of the cylinder, which is given by:

V = πr^2h

Using the inequality we derived above, we can express h in terms of r:

h ≤ (20 - πr^2) / πr

Substituting this expression for h in the formula for V, we get:

V = πr^2[(20 - πr^2) / πr]

Simplifying this expression, we get:

V = 20r - πr^3

To find the maximum volume, we need to find the value of r that maximizes V. To do this, we take the derivative of V with respect to r and set it equal to zero:

\(dv/dr\)= 20 - 3πr^2 = 0

Solving for r, we get:

r = √(20 / 3π)

Substituting this value of r back into the inequality we derived earlier, we can find the corresponding value of h:

h = (20 - πr^2) / πr

h = (20 - 20) / (√(3π))

h = 0

Therefore, the cylinder with maximum volume has a radius of √(20 / 3π) and a height of 0. The maximum volume is V = π(20 / 3π)^2(0) = 0

Note that this means the cylinder has no volume and therefore cannot be packaged. In other words, it is not possible to design a cylindrical package with a volume greater than zero that costs less than $4.

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2p ≥ 15 is NOT a linear inequality in two variables.

What is the meaning of linear inequality?

A mathematical expression that compares two expressions using the inequality symbol is known as a linear inequality. The expression may be either a numerical or an algebraic expression, or it may be both.

What Is a Linear Inequality Example?

The linear inequality x - 5 > 3x - 10 is an illustration. Since the larger than symbol is employed in this inequality, the LHS is strictly greater than the RHS. The inequality looks like this after being solved: 2x 5 x (5/2).

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Answer:

2. more baking powder b/c 7/8 > 1/4

3. giraffe is herbivore b/c it sleeps less, ---> 1/6 < 3/4 ----> b/c 4/24 < 18/24

4. Question: Who helps for more time at the fair and who helps for more time?

Josh helps for less time than Sarai, as 3/8 < 8/12

Step-by-step explanation:

hope this helps

To determine the number of different ratings combinations possible, we can use the combination formula. Since there are five possible ratings (very poor, poor, fair, good, and excellent) and 29 students in the class. Therefore, there are 46,376 different rating combinations possible for the 29 students in the statistics class.

The formula we can use is:
nCr = n! / r!(n-r)!
where n is the total number of items (in this case, the number of ratings), and r is the number of items we are choosing (in this case, the number of students).
Using this formula, we can find the number of different ratings combinations possible by plugging in the values:
nCr = 5! / 29!(5-29)!
nCr = 5! / 29!(-24)!
nCr = 5 x 4 x 3 x 2 x 1 / (29 x 28 x 27 x 26 x 25 x 24 x 23 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)
nCr = 657,800
Therefore, there are 657,800 different ratings combinations possible for the 29 students in the statistics class.
In this scenario, there are 29 students and a 5-point scale for rating their instructor. To determine the number of different rating combinations possible, we will use the concept of combinations with repetitions allowed.
In this case, the formula for combinations with repetitions is given by:
C(n+r-1, r) = C(n+r-1, n-1), where n is the number of ratings (5) and r is the number of students (29).
Using the formula, we get:
C(5+29-1, 29) = C(33, 29) = 33! / (29! * 4!)
Calculating the factorials and simplifying the expression, we get:
C(33, 29) = 46,376
Therefore, there are 46,376 different rating combinations possible for the 29 students in the statistics class.

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Answer:

270

Step-by-step explanation:

90+45+45+110

so that is wat i think ooo

Each interior angle is 720°/6 = 120°.

The sum of the interior angles of a regular hexagon can be found using the formula 180(n-2), where n is the number of sides of the hexagon. In this case, n = 6, so the sum of the interior angles is 180(6-2) = 180(4) = 720°. Since the hexagon is regular, all of its interior angles are of equal size. Therefore, each interior angle is 720°/6 = 120°.

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Answer: \(9\times 11\ ft^2\)

Step-by-step explanation:

Given

Height is \(2\ ft\) more than its width

Suppose the width is \(x\). So, height becomes \(x+2\)

Area of the painting is \(99\ ft^2\)

Area is the product of width and height

\(\therefore 99=x(x+2)\\\Rightarrow 99=x^2+2x\\\Rightarrow x^2+2x-99=0\\\Rightarrow x^2+11x-9x-99=0\\\Rightarrow (x+11)(x-9)=0\\\Rightarrow x=-11,9\)

Neglect the negative values

\(\text{Width =}9\ ft\\\text{height =}9+2=11\ ft\)

The probability that an arriving student will find at least one other student waiting in line is approximately 0.167.

To solve this problem, we'll use the M/M/1 queueing model with Poisson arrivals and exponential service times. Let's calculate the required values: (a) Percentage of time Judy is idle: The utilization of the system (ρ) is the ratio of the average service time to the average interarrival time. In this case, the average service time is 10 minutes, and the average interarrival time is 12 minutes. Utilization (ρ) = Average service time / Average interarrival time = 10 / 12 = 5/6 ≈ 0.8333

The percentage of time Judy is idle is given by (1 - ρ) multiplied by 100: Idle percentage = (1 - 0.8333) * 100 ≈ 16.67%. Therefore, Judy is idle approximately 16.67% of the time. (b) Average waiting time for a student:

The average waiting time in a queue (Wq) can be calculated using Little's Law: Wq = Lq / λ, where Lq is the average number of customers in the queue and λ is the arrival rate. In this case, λ (arrival rate) = 1 customer per 12 minutes, and Lq can be calculated using the queuing formula: Lq = ρ^2 / (1 - ρ). Plugging in the values: Lq = (5/6)^2 / (1 - 5/6) = 25/6 ≈ 4.17 customers Wq = Lq / λ = 4.17 / (1/12) = 50 minutes. Therefore, on average, a student spends approximately 50 minutes waiting in line.

(c) Average length of the line: The average number of customers in the system (L) can be calculated using Little's Law: L = λ * W, where W is the average time a customer spends in the system. In this case, λ (arrival rate) = 1 customer per 12 minutes, and W can be calculated as W = Wq + 1/μ, where μ is the service rate (1/10 customers per minute). Plugging in the values: W = 50 + 1/ (1/10) = 50 + 10 = 60 minutes. L = λ * W = (1/12) * 60 = 5 customers. Therefore, on average, the line consists of approximately 5 customers.

(d) Probability of finding at least one student waiting in line: The probability that an arriving student finds at least one other student waiting in line is equal to the probability that the system is not empty. The probability that the system is not empty (P0) can be calculated using the formula: P0 = 1 - ρ, where ρ is the utilization. Plugging in the values:

P0 = 1 - 0.8333 ≈ 0.1667. Therefore, the probability that an arriving student will find at least one other student waiting in line is approximately 0.167.

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A box plot that represents data containing an outlier typically includes a box with a horizontal line inside it representing the median. It also has "whiskers" extending vertically from the box to indicate the range of most of the data. Additionally, there will be one or more individual points or "dots" outside the whiskers, which represent the outliers.

In a box plot, outliers are defined as data points that fall outside the range of the whiskers, which extend from the box. If a box plot displays a data point located beyond the whiskers, it indicates the presence of an outlier in the data set. Outliers are typically represented as individual points or asterisks. These data points are considered to be extreme values that significantly deviate from the rest of the dataset. They can provide valuable insights into the distribution and potential anomalies within the data.

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Answer:

Step-by-step explanation:

If two variables, x and y have a direct variation, it means that an increase in x would lead to a corresponding increase in y. A decrease on x would lead to a corresponding decrease in y.

Therefore, we would compare the scenarios to determine which is not a direct variation. The correct option is

d) Time taken will be less if number of workers are increased to complete the same work.​

The rest are direct variation scenarios

Answer:

63. Perimeter: 60.4 units

Area: 126.14 units²

64. x = 8

m = 62⁰

Step-by-step explanation:

First, let us solve question 63. To find the perimeter and the area of the triangle, we will first find the x and y value.

Formulas we would use to find the answer in Q. 63 :-

Cos = opposite / hypotenuse

Sin = adjacent / hypotenuse

Area = 1/2 × b × h

Perimeter = adding all sides

Let us find the y value using the formula of Cos.

Cos = opposite / hypotenuse

Cos24⁰ = y / 26

26(Cos24⁰) = (y / 26)26

26(Cos24⁰) = y

23.8 = y ---> *since it said to round to the nearest hundredth.*

Now let us find the x value by using the formula of Sin.

Sin = adjacent / hypotenuse

Sin24⁰ = x / 26

26(Sin24⁰) = (x / 26)26

26(Sin24⁰) = x

10.6 = x ---> *since it said to round to the nearest hundredth.*

Now let us find the perimeter and the area.

Area = 1/2 × b × h

Area = 1/2 × 10.6 × 23.8

Area = 126.14 units²

Perimeter = adding all sides.

Perimeter = 26 + 23.8 + 10.6

Perimeter = 60.4 units

On to Q. 64. Formulas we would use to find the answer of Q. 64 is :-

Tan = opposite / adjacent

Sin = opposite / hypotenuse

Let us find m. In order to find m, we will use the Sin formula.

Sin = opposite / hypotenuse

Sinm⁰ = 15 / 17

m⁰ = sin-1(15 / 17)

m⁰ = 62 ---> *since it said to round to the nearest whole number.*

Now let us find x by using the formula of Tan.

Tan = opposite / adjacent

Tan62⁰ = 15 / x

x(Tan62⁰) = (15 / x)x

x(Tan62⁰) = 15

x(Tan62⁰) / Tan62⁰ = 15 / Tan62⁰

x = 15 / Tan62⁰

x = 8 ---> *since it said to round to the nearest whole number.*

Hope this helps, thank you :) !!

The percent sales tax of the phone Gabriel went shopping for given the listed price and the total price including tax is 7%.

Listed price of the phone = $45

Price with tax = $48.15

Amount of tax = Price with tax - Listed price of the phone

= $48.15 - $45

= $3.15

Percentage tax = x

x% of $45 = $3.15

x% × 45 = 3.15

45x% = 3.15

x% = 3.15/45

x% = 0.07

x = 0.07 × 100

x = 7%

Therefore, 7% is the percent sales tax of the phone

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A baseball bat strikes a ball with an average force of 2.0 x 104 Newtons. if the bat stays in contact with the ball for a distance of 5.0 x 10-3 meter , then the kinetic energy will be 2× 10^2 J

kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.

In classical mechanics, the kinetic energy of a non-rotating object of mass m traveling at a speed v is 1/2 mv²

Favg= -1/2 MV2

Favg = -1 2 ( 5.0 x 10-3)^2

Favg = - 1/2 ×25 × 10 ^-6

Favg = 2× 10^2 J

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If P(t) is the size of a population at time t , the differential equation describes linear growth in the size of the population is \(\frac{dP}{dt}=200\)

The differential equation is is an equation that contains one or more functions with its derivatives. The derivatives of the function define the rate of change of a function at a point.

dy/dx = f(x)

Here “x” is an independent variable and “y” is a dependent variable

According to the question,

Size of population at t time = P(t)

Also given ,The differential equations have a linear growth in the size of the population.

So, The degree of the variable must be one. And the equation of the population will be quadratic.

Therefore , dP/dt = 200 tells us the rate change of population with respect to time.

A derivative of linear function is constant .

Hence , option B is correct.

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Answer:

7*6=42 then 42*2=84 hope that helps.

Answer:

7^3 + 7^3 units^3

OR

(7^3)2 units^3

Step-by-step explanation:

Volume = length x width x height

In cubes, length = width = height

So, volume = 7 x 7 x 7 = 7^3

2 cubes:

7^3 + 7^3 units^3

OR

(7^3)2 units^3

Answer:

53.87 because 4 cant round the 6

Step-by-step explanation:

Answer:

53.87

Step-by-step explanation:

4 cannot round the 6

Answer:

10 pounds

Step-by-step explanation:

given ratio weight:added weight=10:1

100:x=10:1

100/x=10/1

solving for x

100=10x

x=10

Given that y varies inversely as (x-3) .When y is 5 x is 7 . We need to find out the value of y when x is 5 .

• According to the Question ,

\(\sf\longrightarrow y \propto \dfrac{1}{x-3}\\\\\sf\longrightarrow y =\dfrac{k}{x-3}\)

And ,

\(\sf\longrightarrow 5 =\dfrac{k}{7}\\\)

\(\sf\longrightarrow k = 7*5 \\ \)

\(\bf\longrightarrow k = 35\)

Now , when x is 5 ,

\(\sf\longrightarrow y = \dfrac{k}{x-3} \\ \)

\(\sf\longrightarrow y =\dfrac{35}{5-3}\\ \)

\(\sf\longrightarrow y=\dfrac{35}{2}\\ \)

\(\sf\longrightarrow \boxed{\red{\sf y = 17.5 }} \)

The correct statement is B. The center of the circle is the midpoint of the given endpoints of the diameter.

In a circle, the center is located at the midpoint of any diameter. A diameter is a line segment that passes through the center of the circle and has its endpoints on the circle. Therefore, if we are given the endpoints of a diameter, we can determine the center of the circle by finding the midpoint of these endpoints. This means that the x-coordinate of the center will be the average of the x-coordinates of the endpoints, and the y-coordinate of the center will be the average of the y-coordinates of the endpoints.

Option A is not necessarily true because the x-coordinate of the center may or may not be the same as the x-coordinates of the given endpoints.

Option C is incorrect because the center of the circle can be found by determining the midpoint of the diameter.

Option D is not necessarily true because the y-coordinate of the center may or may not be the same as the y-coordinates of the given endpoints.

Therefore, the correct statement is B. The center of the circle is the midpoint of the given endpoints of the diameter.

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Answer:

Step-by-step explanation:

Use a slope formula.

Slope formula:

\(\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{RISE}{RUN} }\)

y2=2

y1=6

x2=13

x1=1

Rewrite the problem.

\(\sf{\dfrac{2-6}{13-1}=\dfrac{-8}{12}=\dfrac{-8\div4}{12\div4}=\dfrac{-2}{3}=\boxed{\sf{-\dfrac{2}{3}}}\)

I hope this helps you! Let me know if my answer is wrong or not.

Darwin's geometric ratio of increase pertains specifically to the growth rate of populations in biological organisms. According to Darwin's theory of evolution, populations have the potential to increase exponentially over time if certain conditions are met. The geometric ratio of increase, often denoted as "r" or the intrinsic rate of natural increase, represents the factor by which a population multiplies during each reproductive cycle or generation.

In the context of natural selection, individuals with higher reproductive rates (higher r-values) have a greater chance of passing on their genetic traits to the next generation. Over time, this can lead to significant population growth and evolutionary changes within a species. However, the geometric ratio of increase is limited by various factors, such as availability of resources, competition, predation, and environmental constraints, which can result in a balance between population growth and environmental carrying capacity.

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There is no proportional relationship between the given equations.

What is proportional relationship?

Relationships between two variables where their ratios are equal are known as proportional relationships. The fact that one variable is always a constant value multiplied by the other in a proportionate connection is another way to conceive of them. This parameter is referred to as the "constant of proportionality".

The given equations are,

7x - 2 = y

y = 2x + 4

y = 5x

y + 1 = 3x

These equations can be written as,

y = 7x - 2

y = 2x + 4

y = 5x

y = 3x - 1

Now consider the following table,

               x          y         y/x

             7           1          1/7

              2          1          1/2

               5          1          1/5

               3          1          1/3      

From above we can see that none of the ratio are equal, all ratios are different.

Hence, none of the given equations having proportional relationship.

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The factorized form of the expression (-x + 4)(x+5) .

Given,

-x²-x+20

Now,

To get the factors of the expression simplify the quadratic equation,

-x²-x+20

-x² -5x + 4x + 20

-x(x + 5) + 4(x + 5)

(-x + 4)(x+5)

Thus the factor form of the equation is (-x + 4)(x+5) .

Thus the values of x :

-x+ 4 = 0

x = 4

x + 5 = 0

x = -5

So the values of x are 4 and -5.

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