I1
30
mirror
50 ft
A student is walking to school and sees a mirror on the ground.
She stops a short distance from the mirror to practice her Geometry.
She knows her own height and the height of the school. She also knows
the distance from the mirror to the school from a previous Geometry activity,
She would like to calculate the distance she is
standing from the mirror.
The height of the school is 30 ft.
The distance from the school to the mirror is 50 ft.
The height of the student is 4.5 ft.
What is the distance d between the student and the mirror?
Show all your work.

El precio de 9 paletas sería de 22.5 pesos.

Para determinar el precio de 9 paletas basándonos en el precio de 6 paletas, podemos utilizar una regla de tres simple. La regla de tres nos permite establecer una relación proporcional entre las cantidades y los precios.

Si el precio de 6 paletas es de 15 pesos, podemos establecer la siguiente relación: 6 paletas corresponden a 15 pesos. Ahora, necesitamos determinar cuánto correspondería el precio de 9 paletas.

Podemos establecer una proporción de la siguiente manera: 6 paletas / 15 pesos = 9 paletas / x pesos (donde x es el precio que buscamos).

Para hallar el valor de x, debemos resolver la proporción. Multiplicamos en cruz: 6 * x = 15 * 9, lo cual resulta en 6x = 135.

Dividimos ambos lados de la ecuación por 6 para despejar x: x = 135 / 6, lo que da como resultado x = 22.5.

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2(x - 2)

The given expression is:

3x−6x+x−4+4x

Collect like terms

3x - 6x + x + 4x - 4

Simplify the resulting expression

2x - 4

Factor out the common term (2) from the expression

2(x - 2)

Answer:

2(x−2)

Step-by-step explanation:

Solution Steps

3x−6x+x−4+4x

Combine 3x and −6x to get −3x.

−3x+x−4+4x

Combine −3x and x to get −2x.

−2x−4+4x

Combine −2x and 4x to get 2x.

2x−4

Answer:

x<-5

Step-by-step explanation:

Answer:

12/37

Step-by-step explanation:

SOH - CAH - TOA

O = opposite

A = adjacent

H = hypotenuse

Sin = O/H

Sin N = 12/37

Answer:Find sin N

sinN=

hypotenuse/opposite

​12/37

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

To find the x-coordinate(s) of any local minima of the function g(x) = 210 + 8x³ + x⁴, we need to find the first derivative of the function and then solve for the critical numbers.

To find the first derivative of the given function g(x) = 210 + 8x³ + x⁴, we need to use the power rule of differentiation as shown below: g'(x) = d/dx

[210 + 8x³ + x⁴]

= 0 + 24x² +

4x³ = 4x²(6 + x)Now we set the first derivative equal to zero to get the critical numbers:

4x²

(6 + x) = 0or

x = 0 or

x = -6

We now have two critical numbers, x = 0 and

x = -6.To determine the nature of the critical numbers, we use the second derivative test. g''

(x) = d/dx

[4x²(6 + x)] = 8x + 24At

x = 0, g''(0) = 24, which is greater than zero, so

x = 0 is a local minimum.At

x = -6, g''

(-6) = -24, which is less than zero, so

x = -6 is a local maximum.Therefore, the x-coordinate of the only local minimum is

x = 0.

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Step-by-step explanation:

-6 < 3x - 12 <= 9

6 < 3x <= 21 (add 12)

2 < x <= 7 (divide by 3)

The graph that correct represents this solution set is the 2nd graph.

Answer:

The answer is 729/64.

Step-by-step explanation:

I would first simplify the equation.

In the denominator, you can get rid of b^0 because that just equals 1.

For the a's in the numerator and denominator, you have to flip them so the exponents can be positive.

Equation:  \((\frac{3ab^2}{2a^3})^2\)

Now, you can subtract a and a^3.  This would be 1/a^2.

Equation: \((\frac{3b^2}{2a^2})^2\)

Now, you can square the whole equation.

Equation: \(\frac{9b^4}{4a^4}\)

This is the simplified equation.  Now you can plug in -2 and -3.

Equation: \(\frac{9(-3)^4}{4(-2)^4}\)

Equation: \(\frac{9(81)}{4(16)}\)

Equation: 729/64

The variable is quantitative because wait times are numerical value.

Wait times at banks, this variable represents the duration of time one has to wait at a bank.

Wait times can be measured in minutes or seconds, making it a quantitative variable.

It can be quantified, compared, and analyzed using statistical methods.

The variable "wait times at banks" is quantitative because it represents a measurable quantity. Wait times can be expressed in numerical values (such as minutes or seconds) and can be compared and analyzed using mathematical operations.

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Answer:

0.5/1

Step-by-step explanation:

I believe it's 0.5/1 because you went up 0.5 which is your Y. Then you went over 1 time (x) because in order to get from 0 to 1 you have to go over one.

Answer:

4,200 or 420

Step-by-step explanation:

4,200 if its 42,000 420 if its 4200 also 10 divided by 42000 or 10 divided by 4200.

Answer:

Step-by-step explanation:

fraction

These cards can be sorted into three pairs, where each pair adds to the same number. The number is -5. The correct option is C.

An integer is a whole number that can be positive, negative, or zero and is not a fraction.

The addition of these following three pairs is given as follows:

-5 + 0 = -5.

-3 - 2 = -5.

-8 + 3 = -5.

Hence, we got three pairs of values from these cards, all cards are used, and all the additions result in -5, hence, this number is -5.

The addition of integers used in this problem is as follows: Two negatives: keep the signal and add the numbers, hence -3 - 2 = -5. Positive and negative: signal of bigger absolute value, find the difference, hence: -8 + 3 = -(8 - 3) = -5.

Therefore, the correct option is C. -5.

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Solution:

We know that:

Since the parallel line has a slope of 2, the equation of the original line will also have a slope of 2. Now, let's use point-slope form to find the equation.

Thus, the equation of the line in point slope form is y + 1 = 2(x - 5).

An example of an adverse selection problem is in the insurance industry. Suppose an insurance company offers health insurance policies without thoroughly assessing the health condition of individuals.

In this case, individuals with pre-existing medical conditions or high-risk behaviors are more likely to purchase insurance compared to healthy individuals. This creates adverse selection because the insurance company ends up covering a disproportionate number of high-risk individuals, which can lead to increased costs and potential financial losses for the insurer.

Possible solutions to the adverse selection problem in insurance include:

Underwriting and Risk Assessment: Insurance companies can implement stricter underwriting processes and assess the health risks of individuals before providing coverage. By gathering more information about the insured individuals' health conditions and behaviors, the insurance company can more accurately price their policies and mitigate adverse selection.

Risk Pooling: Creating larger risk pools by attracting a diverse group of individuals can help balance the risk distribution. By having a mix of healthy and high-risk individuals, the impact of adverse selection can be reduced, and the costs can be spread more evenly.

Moral Hazard Problem:

An example of a moral hazard problem can be found in the financial sector. Consider a scenario where a bank lends money to a borrower to start a business. After receiving the funds, the borrower may engage in risky investments or mismanage the funds, knowing that they are not fully liable for the loan repayment if the business fails. This creates a moral hazard problem because the borrower has an incentive to take on greater risks since they are shielded from the full consequences of their actions.

Possible solutions to the moral hazard problem in lending include:

Risk-Based Pricing: Implementing risk-based pricing can align the interests of borrowers and lenders. By charging higher interest rates or requiring collateral for riskier loans, lenders can account for the potential moral hazard and discourage borrowers from taking excessive risks.

Monitoring and Contractual Agreements: Lenders can monitor borrowers' activities and set contractual agreements that impose penalties or restrictions on certain behaviors. Regular reporting and performance evaluation can help mitigate the moral hazard problem by holding borrowers accountable for their actions.

Incentives and Alignment: Aligning the interests of borrowers and lenders through performance-based incentives can help mitigate moral hazard. For example, structuring loan agreements with profit-sharing arrangements or tying loan repayment terms to the success of the business can motivate borrowers to act responsibly and reduce the likelihood of moral hazard.

It's important to note that each situation may require a tailored approach to address adverse selection or moral hazard effectively. The specific solutions will depend on the industry, context, and stakeholders involved.

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Answer:

Step-by-step explanation:

The volume of a sphere can be found using the formula ...

  V = 4/3πr³ . . . . . where r is the radius

__

The figure points to a diameter line and indicates 2.2 m. The arrowhead is in the middle of a radius line, making it easy to interpret the dimension as the radius of the sphere.

If 2.2 m is used as the radius, the volume is computed to be ...

  V = 4/3π(2.2 m)³ ≈ 44.58 m³

This agrees with your friend's volume, suggesting the diameter was used in place of the radius in the computation.

__

The correct volume, using 2.2 m as the diameter, is ...

  V = 4/3π(1.1 m)³ ≈ 5.57 m³

it is seen that if the number of people in the group is n = 23, the probability that at least two people will have the same birthday is at least 1/2.

Let P(A) be the probability that in a randomly selected group of n people, at least two people have the same birthday.

If we assume that the year has 365 days, then the number of ways to select n people with different birthdays is n x (n-1) x (n-2) x ... x (n-364).

the probability of selecting n people with different birthdays is P(A') = n(n - 1)(n - 2)...(n - 364)/365nThen, the probability that at least two people in a group of n have the same birthday is given by P(A) = 1 - P(A').

We need to find the smallest value of n such that P(A) ≥ 1/2.Let's solve for this.Let us find n such that P(A) ≥ 1/2.

By using the complement rule, 1-P(A') = P(A).Then:1 - n(n - 1)(n - 2)...(n - 364)/365n ≥ 1/2n(n - 1)(n - 2)...(n - 364)/365n ≤ 1/2(2)n(n - 1)(n - 2)...(n - 364) ≤ 365n/2Now, take the natural logarithm of both sides and simplify as follows:ln[n(n - 1)(n - 2)...(n - 364)] ≤ ln[365n/2]nln(n) - ln[(n - 1)!] - ln[(n - 2)!] - ... - ln[2!] - ln[1!] ≤ ln[365n/2]

Therefore, we need at least 23 people in the group for the probability of two or more people having the same birthday to be at least 1/2.

This is because n = 23 is the smallest number for which the inequality holds, and therefore, it is the smallest number of people required to ensure that the probability of two or more people having the same birthday is at least 1/2.

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Answer:

30<x+8 and 22<x

Step-by-step explanation:

subtract 8 from 30 to get 22

Answer

30<x+8 and 22<x

The perimeter of the square garden is 20x + 36. The perimeter of the square garden is 4 times the width. Since the width is 5x + 9, the perimeter is 4(5x + 9), which simplifies to 20x + 36. So the answer is 20x + 36.

The perimeter of a square garden is the sum of the lengths of all four sides. Since the garden is square, all four sides have the same length. To find the perimeter of a square garden with a width of (5x + 9), you can use the formula for the perimeter of a square: P = 4 * side_length.
Since the width of the garden is (5x + 9), and all sides of a square are equal in length, the perimeter can be calculated as follows:
P = 4 * (5x + 9)
Now, distribute the 4 to both terms within the parentheses:
P = 20x + 36

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The minimum about of balls she should pick is 13.

So, the woman consider all the balls and picks the balls without looking,

To have a clear chance of picking at least 3 blue balls from the bowl she has to first eliminate the possibility of picking red balls.

Therefore,

She first picks 10 balls from the bowl, which gradually eliminates the possibility of picking a red ball.

now, she picks 3 more balls from the rest of the available balls which increases the changes of the balls being blue.

then,

=> 10 + 3 = 13

The minimum about of balls she should pick is 13.

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Answer:

x = 11

z = 86

Step-by-step explanation:

8x + 6 and 10x-16 are vertical angles

Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.

To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:

8x + 6 - 6 = 10x - 16 - 6

8x = 10x - 22

Now we can subtract 8x from both sides of the equation:

8x - 8x = 10x - 22 - 8x

0 = 2x - 22

To solve for x, we can add 22 to both sides of the equation:

0 + 22 = 2x - 22 + 22

22 = 2x

Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2

x = 11

Therefore, the solution to the equation is x = 11.

Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)

Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.

First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94

180 - 94 = z

z = 86

Answer: Heyaa! ~

Graph the line using the slope and y-intercept, or two points.

Slope:

1/2

y-intercept: (0,1)

x   ↓  y

0   ↓  1

2   ↓  2

Step-by-step explanation:

Hopefully this helps you! ~

Answer:

Use the Desmos graphing calculator. Look up "graphing calculator" and hit the Desmos option, then type in your equation. It works.

Please mark me Brainliest!!!

Answer:

Step-by-step explanation:

30/7

74/9

47/7

(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.

To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.

If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).

If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.

Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).

(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.

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Complete question:

The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.

(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).

c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)

Answer:

r=4 d=8 a = 16π c = 8π

d=6 r=3 a=9π c=6π

a=36π r=6 d=12 c=12π

c=18π r=9 d=18 a=81π

Step-by-step explanation:

hope this helps (:

The largest head diameter that can accommodate the clientele is 8.5743

Mean, u = 6.4

Standard deviation = 0.9

We must utilize the inverse of the common normal table to obtain our values.

the smallest head width possible.

P(Z < z) = 1.4%

P(Z < z) = 0.014

P(Z < -2.0749) = 0.014

z = -2.0749

Using the z-score calculation,

(x - μ) ÷ σ = \(Z_{0.019}\)

Let x be the heads' breath.

Making x the focus of the equation,

x = z × σ + μ

We already have:

z = -2.0749

u = 6.5

s.d = 1

Replacing numbers,

x = (-2.0749 × 1) + 6.5

x = 4.4251

The clientele requires a minimum head breadth of 4.4251.

The largest head width that can be accommodated.

P(Z > z) = 1.4%

1 - P(Z < z) = 0.014

P(Z < z) = 1 - 0.014 = 0.981

P(Z < 2.0749) = 0.981

Using the z-score calculation,

(x - μ) ÷ σ = \(Z_{0.019}\)

Let x be the heads' breath.

Making x the focus of the equation,

x = z × σ + μ

z = 2.0749

u = 6.5

s.d = 1

Substituting figures,

x = (2.0749 × 1) + 6.5

x = 4.4251

x = 8.5743

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Answer:

R 1,440

Step-by-step explanation:

To increase R1,200 by 20%, you can follow these steps:

Step 1: Calculate the 20% of R1,200.

20% of R1,200 = (20/100) * R1,200 = 0.2 * R1,200 = R240.

Step 2: Add the calculated 20% to the original amount.

Increased amount = R1,200 + R240 = R1,440.

Therefore, by increasing R1,200 by 20%, you get R1,440.

I hoped this helped, have a good day

The difference in height between 30 meters up the cliff and 87 meters up the cliff will be 57 meters.

The distance between the albatross flying at 100 meters above the surface of the ocean and the shark swimming 30m below the surface is 130 meters.

It should be noted that the distance in height between 30 meters up the cliff and 87 meters up the cliff will be:

= 87 - 30

= 57 meters.

The distance between the albatross flying at 100 meters above the surface of the ocean and the shark swimming 30m below the surface will be:

= 100 - (-30)

= 100 + 30

= 130 meters

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