geometry question hundred points

Answer:

Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

Step-by-step explanation:

Description of a Function : Consider two nonempty sets, X and Y. A relation that links exactly one element from X to Y is known as a function from X into Y.

f(x) = 5x-2 ?

Solution:

f(x) = 5x-2

5x-2 = 0

 5x = 2

    x = 0.4

f(0.4) = 5(0.4)-2

          = 0

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We have to solve the following inequality:

Answer:

It is an identity, proved below.

Step-by-step explanation:

I assume you want to prove the identity. There are several ways to prove the identity but here I will prove using one of method.

First, we have to know what cot and cosec are. They both are the reciprocal of sin (cosec) and tan (cot).

\(\displaystyle \large{\cot x=\frac{1}{\tan x}}\\\displaystyle \large{\csc x=\frac{1}{\sin x}}\)

csc is mostly written which is cosec, first we have to write in 1/tan and 1/sin form.

\(\displaystyle \large{1+(\frac{1}{\tan x})^2=(\frac{1}{\sin x})^2}\\\displaystyle \large{1+\frac{1}{\tan^2x}=\frac{1}{\sin^2x}}\)

Another identity is:

\(\displaystyle \large{\tan x=\frac{\sin x}{\cos x}}\)

Therefore:

\(\displaystyle \large{1+\frac{1}{(\frac{\sin x}{\cos x})^2}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{1}{\frac{\sin^2x}{\cos^2x}}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}\)

Now this is easier to prove because of same denominator, next step is to multiply 1 by sin^2x with denominator and numerator.

\(\displaystyle \large{\frac{\sin^2x}{\sin^2x}+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}\\\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}\)

Another identity:

\(\displaystyle \large{\sin^2x+\cos^2x=1}\)

Therefore:

\(\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}\longrightarrow \boxed{ \frac{1}{\sin^2x}={\frac{1}{\sin^2x}}}\)

Hence proved, this is proof by using identity helping to find the specific identity.

By observing diagram clearly we can observe that there is a right angled triangle with :

So, to find hypotenuse, let's use Pythagoras' theorem :

\( \large \underline{\boxed{\bf{H^2 = B^2 + P^2}}}\)

\( \tt : \implies c^2 = 3^2 + 3^2\)

\( \tt : \implies c^2 = 9 + 9\)

\( \tt : \implies c^2 = 18\)

\( \tt : \implies c = \sqrt{18}\)

Hence, value of c is √18.

Employees in the transportation and shipping industry today are required to know advanced math for several reasons. Here are some of the most important ones:

1. Efficiency: In the transportation and shipping industry, time is money. To maximize efficiency, workers need to be able to calculate distances, speeds, and travel times accurately.

This requires a solid understanding of advanced math concepts such as algebra, calculus, and trigonometry.

2. Safety: Transporting goods and people comes with risks. To ensure safety, employees need to understand the physics of motion, forces, and momentum.

This requires knowledge of advanced math concepts such as vectors, kinematics, and dynamics.

3. Technology: The transportation and shipping industry is becoming increasingly automated and technology-driven. Employees need to be able to understand and use complex algorithms, statistical models, and data analysis tools.

This requires advanced math skills such as statistics, probability theory, and linear algebra.

4. Regulations: The transportation and shipping industry is subject to a wide range of regulations, including safety standards, environmental laws, and trade policies.

Compliance with these regulations often requires complex calculations and data analysis. Advanced math skills are essential for navigating this regulatory landscape.

In summary, advanced math skills are essential for employees in the transportation and shipping industry to ensure efficiency, safety, technology adoption, and compliance with regulations.

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p(A or B) = P(A) + P(B) - p(A and B)

The missing probability is P(B)

Sets are an organized collection of objects. Usually, sets are represented in curly braces {}, for example, A = {1,2,3,4} is a set.

In set theory, the operations of the sets are carried when two or more sets combine to form a single set under some of the given conditions. The basic operations on sets are:

p(A or B) = P(A) + P(B) - p(A and B) is a formula used in finding the probability of an event in a set sample.

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Answer:

f(x)=21

g(x)= x^3+x^2

Step-by-step explanation:

Answer:

The answer cannot be given as exact prices are not listed. How to do it could be explained as below:

Step-by-step explanation:

The first thing you have to do is find the price of the shoes. Then you take $250 (the amount of money in the gift card) and subtract it from the price of the shoes.

Then, we take the number we got from above and divide it by how much 1 pair of socks costs. You could get a decimal, and if you do, pretend that the numbers after the decimal don't exist. This number is the number of possible socks you could order only using the gift card.

Message:
Hope this helped! <3

Answer:

-3 > -8

-4 < 10

0 > -1

-5 = -5

Step-by-step explanation:

one is bigger than the other hopes this helps

The flux through the circle of radius 3.5 cm the normal to the circle makes an angle of 6° with a line perpendicular to the plates ±0.252 N⋅m²/C.

To find the flux through a circle between the plates, use Gauss's Law. Gauss's Law states that the flux through a closed surface is equal to the total charge enclosed divided by the permittivity of the medium.

The plates are charged with ±21 μC, and the separation between them is 3 mm. The area of the circle is given as 180 cm², and the radius of the circle is 3.5 cm. The normal to the circle makes an angle of 6° with a line perpendicular to the plates.

calculate the flux through the circle using the given information:

Convert the area and radius to meters:

Area = 180 cm² = 0.018 m²

Radius = 3.5 cm = 0.035 m

Calculate the electric field between the plates:

The electric field between two oppositely charged plates is given by:

E = σ / (ε₀ × d)

where σ is the surface charge density, ε₀ is the vacuum permittivity, and d is the separation between the plates.

In this case, the charges on the plates are ±21 μC. Since the charges are spread over the entire area of the plates calculate the surface charge density:

σ = Q / A

where Q is the charge and A is the area of the plates.

σ = ±21 μC / 0.018 m² = ±1166.67 μC/m²

Plugging in the values,

E = ±1166.67 μC/m² / (ε₀ × 0.003 m)

Calculate the electric field component perpendicular to the circle:

The electric field component perpendicular to the circle is given by:

Eₙ = E ×cos(θ)

where θ is the angle between the normal to the circle and a line perpendicular to the plates.

In this case, θ = 6°, so:

Eₙ = E ×cos(6°)

Calculate the flux through the circle:

The flux through the circle is given by:

Φ = Eₙ × A

where A is the area of the circle.

Plugging in the values,

Φ = Eₙ × 0.018 m²

Remember that the electric field (Eₙ) is positive for one plate and negative for the other plate due to the opposite charges. The sign of the flux will depend on the sign of the charge on the plate facing the circle.

Finally, to find the flux in N⋅m²/C,  to convert the units of the electric field from μC/m² to N/C.  that 1 N/C = 1 V/m. So to divide the electric field by the conversion factor of 1 million.

Let's calculate the flux:

Calculate the electric field:

E = ±1166.67 μC/m² / (8.85 × 10⁻¹² F/m ×0.003 m)

Calculate the electric field component perpendicular to the circle:

Eₙ = E ×cos(6°)

Calculate the flux through the circle:

Φ = Eₙ × 0.018 m²

Convert the electric field units to N/C:

E = E / 1,000,000

The values and calculate the flux:

Calculate the electric field:

E = ±1166.67 μC/m² / (8.85 × 10⁻¹² F/m × 0.003 m) = ±14,000,000 V/m

Calculate the electric field component perpendicular to the circle:

Eₙ = ±14,000,000 V/m × cos(6°)

Calculate the flux through the circle:

Φ = Eₙ × 0.018 m²

Convert the electric field units to N/C:

E = E / 1,000,000 = ±14 N/C

Plugging in the values,

Φ = (±14 N/C) × 0.018 m² = ±0.252 N⋅m²/C

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Answer:

Month 5

Step-by-step explanation:

(b) Yes, the experiment has a control group.

(c) The treatments can be randomly assigned to the experimental units by randomly selecting 20 containers and assigning each of the four treatments to 5 containers.

a) Treatments: Four different concentrations of fungus mixtures (0 ml/L, 1.25 ml/L, 2.5 ml/L, and 3.75 ml/L).

Experimental units: 20 individual containers with a group of insects.

Response variable: Number of insects that are still alive in each container one week after spraying.

(b) A control group is used to compare the results of the treatment group to a group that is not exposed to the treatment.

In this experiment, the control group can be the group of insects that are not exposed to any of the fungus mixtures.

c) The treatments can be randomly assigned to the experimental units by randomly selecting 20 containers and assigning each of the four treatments to 5 containers.

This way, each treatment has the same number of units and the assignment of treatments to units is random, which reduces the risk of bias in the experiment.

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Answer:

2/6561

Step-by-step explanation:

Geometric sequence formula : \(a_n=a_1(r)^n^-^1\)

where an = nth term, a1 = first term , r = common ratio and n = term position

given ratio : 1/3 , first term : 2 , given this we want to find the 9th term

to do so we simply plug in what we are given into the formula

recall formula : \(a_n=a_1(r)^n^-^1\)

define variables : a1 = 2 , r = 1/3 , n = 9

plug in values

a9 = 2(1/3)^(9-1)

subtract exponents

a9 = 2(1/3)^8

evaluate exponent

a9 = 2 (1/6561)

multiply 2 and 1/6561

a9 = 2/6561

Answer: 1/4

Step-by-step explanation:

3/4 + 5/6 + (-1/4) + (-7/6)

18/24 + 20/24 + (-6/24) + (-28/24)

38/24 + (-6/24) + (-28/24)

38/24 + (-34/24)

4/24

1/6

If i paid weekly, I realized my income is $73.155.

Answer:

Solution given;

1 hour =$10

13 hour = 13*10=$130

Taxes

federal :10%

FICA:7.65%

state: 3%

contribute to company: $30

now

My income each week :

Answer:

combined means to add so you are going to add anything over 1 because it says longer than 1

1 1/4 has 2 marks so you add 1 1/4 + 1 1/4 =

they have like denominators so you can add them together

1 + 1 = 2 and 1/4 + 1/4 = 2/4 which can be reduced to 1/2

so your answer is 2 1/2

The number of yellow tiles that are likely to be in the bag is 5.

The first step is to determine how many times the yellow tile would be picked from the bag: 100 - 24 - 12 - 12 = 52 times

Number of times the yellow tile in the bag = (52/100) x 10 = 5.2 = 5

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Answer: The domain of a function refers to the set of all possible input values for which the function is defined. In the case of the function y = 2x - 6, the domain is all real numbers since the function is defined for any value of x.

The range of a function, on the other hand, refers to the set of all possible output values that the function can produce. To find the range of the function y = 2x - 6, we need to determine the lowest and highest values that the function can produce.

Since the coefficient of x in the function is positive (i.e. 2), the function is increasing as x increases. This means that as x increases, the value of y also increases without bound. Similarly, as x decreases, the value of y also decreases without bound.

Therefore, the range of the function y = 2x - 6 is all real numbers.

Step-by-step explanation:

Answer:

What is step 6

Step-by-step explanation:

Answer:

Constants: 7 and 12

Coefficients: 4

Step-by-step explanation:

A constant is number without a variable next to it, while a coefficient is a number with a variable next to it.

Answer:

Constants: 7 and 12

Coefficient: 4

Step-by-step explanation:

Coefficients are often the numbers to the left of the variable and are being multiplied by the variable. Constants are numbers that stand alone and have a fixed value.

I tried, hope this helps :)

Answer:

130 cubic in

Step-by-step explanation:

The volume of cylinder= π*(r^2)*h

= 3.14*(2^2)*10

=125.6 cubic in

=130 cubic in (nearest tenth)

The value of x on the closed interval [ -2,2 ] that g has an absolute maximum is 0

Given the function \(g (x) = 3x^4 - 8x^3\)

The function is at a maximum at g'(x) = 0

Differentiating the function given:

\(g'(x)= 12x^3-24x^2\\0= 12x^3-24x^2\\ 12x^3-24x^2=0\\12x^2(x-2)=0\\12x^2=0 \ and \ x - 2 = 0\\x = 0 \ and\ 2 \\)

Substitute x = 0 and x = 2 into the function;

g(0) = 3(0)^3 - 8(0)^3

g(0) = 0

Since the range of the function is least at x = 0, hence the value of x on the closed interval [ -2,2 ] that g has an absolute maximum is 0

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To expand log₄₁₂, we can use log properties to simplify it to log₄(a²b²) + log₄(2.376). For log₇(2⋅6), it simplifies to log₇(2) + log₇(3). logₕ(9jk) remains as logₕ(9) + logₕ(j) + logₕ(k).



To expand the expression log₄₁₂, we can use the property logₐₓᵧ = logₐₓ + logₐᵧ. Applying this property, we have:

log₄₁₂ = log₄(√(a²b²)) + log₄(3log₄₃log₄₄)

Since log₄₃ ≈ 0.792, we can substitute its value into the expression:

log₄₁₂ = log₄(√(a²b²)) + log₄(3 × 0.792 × 1)

Simplifying further:

log₄₁₂ = log₄(√(a²b²)) + log₄(2.376)

To evaluate log₄(√(a²b²)), we can use the property logₐ(xᵦ) = (logₐx)/(logₐᵦ):

log₄₁₂ = (log₄(a²b²))/(log₄₄) + log₄(2.376)

Since log₄₄ = 1, we have:

log₄₁₂ = log₄(a²b²) + log₄(2.376)

Therefore, the expanded form of log₄₁₂ is log₄(a²b²) + log₄(2.376).

For log₇(2⋅6), we can simplify it using the property logₐ(xy) = logₐx + logₐy:

log₇(2⋅6) = log₇(2) + log₇(6)

And log₇(6) can be further simplified as log₇(3⋅2) = log₇(3) + log₇(2).

So, log₇(2⋅6) simplifies to log₇(2) + log₇(3).

Regarding logₕ(9jk), since there are no properties that allow us to simplify this expression, the expanded form remains as it is: logₕ(9) + logₕ(j) + logₕ(k).

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Answer: skew lines

Step-by-step explanation:

skew lines are two lines that do not intersect and are not coplanar

Answer:

$161.29

Step-by-step explanation:

140.25 increase 15% =

140.25 × (1 + 15%) = 140.25 × (1 + 0.15) = 161.2875

To form a triangle, the sum of the lengths of any two line segments must be greater than the length of the third side. This is known as the triangle inequality theorem. For example, if we have line segments with lengths of 5, 7, and 10 units, we can add the first two lengths (5+7=12) and compare it to the length of the third side (10). Since 12 is greater than 10, we can form a triangle with these line segments.

On the other hand, if we have line segments with lengths of 3, 6, and 10 units, we can add the first two lengths (3+6=9) and compare it to the length of the third side (10). Since 9 is not greater than 10, we cannot form a triangle with these line segments.

Therefore, the set of line segments that do not meet the requirements to form a triangle are those where the sum of any two lengths is equal to or less than the length of the third side. It is important to remember the triangle inequality theorem when working with triangles, as it is a fundamental rule that determines if a set of line segments can form a triangle or not.

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By using the x- and y-intercepts, a graph of the function modeling the total number of tickets sold is shown in the image attached below.

The domain and range of each function is {-∞, ∞}.

The meaning of the x-intercept is that the initial number of student tickets sold is 600 tickets.

The meaning of the y-intercept is that the initial number of adult tickets sold is 300 tickets.

The slope of the function is 0.5 and it represents the number of tickets sold per week.

You can use the graph to determine a combination of ticket sales to meet the goal of $3,000 by adding each ordered pair (s, a) or (x, y) together.

Felina's graph is correct because it has the same x-intercept and y-intercept with the original graph.

In order to write a linear equation to describe this situation, we would a assign variable to the number of student tickets sold and the adult tickets sold respectively, and then translate the word problem into a linear equation as follows:

Since student are paying $5 while adults are paying $10 for a ticket and the athletic association need to raise $3000 by selling tickets, a linear equation that models the situation is given by:

5s + 10a = 3000

When s = 0, the value of a is given by:

5(0) + 10a = 3000

a = 300

When a = 0, the value of s is given by:

5a + 10s = 3000

s = 600

For the total number of tickets, we have this linear equation:

s + a = 450

In conclusion, we would use an online graphing calculator to plot the system of linear equations in order to determine the solution (point of intersection), which is at the ordered pair (300, 150).

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Complete Question:

The Marshall High School Athletic Association sells tickets for the weekly football games. Students pay $5 and adults pay $10 for a ticket. The athletic association needs to raise $3000 selling tickets to send the team to an out-of-town tournament.

1. Use x- and y-intercepts to graph the function modeling the total number of tickets sold on each coordinate plane.

2. Determine the domain and range of each function

The radius of convergence of the series is 1 and the interval of convergence is (-1 + 4, 1 + 4), i.e., the interval of convergence is i = (3, 5)

The Series can be represented as follows:

∑(n=0)∞(x−4)n /n⁴

We are to find the radius of convergence, r of the above series. The series is a power series which can be represented as

Σan (x-a) n.

To find the radius of convergence, we use the formula:

r = 1/lim|an|^(1/n)

We have

an = 1/n⁴.

Thus, we get:

r = 1/lim|1/n⁴|^(1/n)

Let's simplify:

lim|1/n⁴|^(1/n)

lim|1/n^(4/n)|

When n tends to infinity, 4/n tends to 0. Thus:

lim|1/n^(4/n)| = 1/1 = 1

Thus, r = 1.

Therefore, the radius of convergence of the series is 1.

We are also to find the interval of convergence of the series. The interval of convergence is the range of values for which the series converges. The series will converge at the endpoints of the interval only if the series is absolutely convergent. We can use the ratio test to find the interval of convergence of the given series.

Let's apply the ratio test:

lim(n→∞)⁡〖|(x-4) (n+1)/(n+1)⁴  |/(|x-4|n/n⁴ ) 〗

lim(n→∞)⁡〖|(x-4)/(n+1) | /(1/n⁴) 〗

lim(n→∞)⁡〖|n⁴ (x-4)/(n+1) |〗

Since we have a limit of the form 0/0, we use L'Hopital's Rule to solve the limit:

lim(n→∞)⁡〖|d/dn (n⁴ (x-4)/(n+1))  |〗

lim(n→∞)⁡〖|4n³(x-4)/(n+1)-n⁴(x-4)/(n+1)²| 〗

lim(n→∞)⁡〖|n³(x-4)[4(n+1)-(n+1)²]  |/((n+1)² )  |〗

lim(n→∞)⁡〖|(x-4)(-n³+6n²+11n+4)  |/(n+1)² 〗

Since we have a limit of the form ∞/∞, we use L'Hopital's Rule again:

lim(n→∞)⁡〖|d/dn [(x-4)(-n³+6n²+11n+4)/(n+1)²]  |〗

lim(n→∞)⁡〖|(x-4)(6n²+26n+22)/(n+1)³|〗

Thus, by the ratio test, we have:

lim(n→∞)⁡〖|an+1/an|〗

= lim(n→∞)⁡〖|(x-4)(n+1)/(n+1)⁴|/(|x-4|n/n⁴)〗

= lim(n→∞)⁡〖|n⁴ (x-4)/(n+1) |〗

= lim(n→∞)⁡〖|(x-4)(-n³+6n²+11n+4)  |/(n+1)²〗

= lim(n→∞)⁡〖|(x-4)(6n²+26n+22)/(n+1)³|〗

< 1| x-4 |/1 < 1|x-4| < 1

Hence, the radius of convergence of the series is 1 and the interval of convergence is (-1 + 4, 1 + 4), i.e., the interval of convergence is i = (3, 5).

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