Point A is at 0 radians with coordinates (1, 0) on the unit circle. Point B is the result of
point A rotating- 5π/4 radians. Name two other angles of rotation that take A to B. At least one must be negative. Explain your reasoning.

Answer:

the maximum is (5,2)

y-int (0,-23)

The better buy is given by the following brand:

Brand A.

The better buy is obtained applying the proportions in the context of the problem.

A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.

Then the better buy is given by the option with the lowest cost per ounce.

The cost per ounce for each brand is given as follows:

$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.

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B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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A.) The rate of change of the water level with respect to time is (1/4) times the rate of change of the radius with respect to time. B.) The water level h as a function of time t is given by the equation h = 50t. C.) The rate of change of the radius of the cone with respect to time when the water is 8 meters deep is 200.

A.) To find the rate of change of the water level with respect to time, we need to use similar triangles. Let's denote the water level as h (the height of the water in the tank) and let's denote the radius of the water surface as r.

Since the tank is in the shape of a cone, we know that the ratio of the change in radius to the change in height is constant. Therefore, we can write:

(r/40) = (h/10)

To find the rate of change of the water level with respect to time (dh/dt), we differentiate both sides of the equation with respect to time:

(d(r/40)/dt) = (d(h/10)/dt)

Now, let's express the rate of change of the radius with respect to time (dr/dt) in terms of the rate of change of the water level with respect to time:

(dr/dt) = (40/10) * (dh/dt)

Simplifying this expression, we get:

(dr/dt) = 4 * (dh/dt)

Therefore, the rate of change of the water level with respect to time (dh/dt) is (1/4) times the rate of change of the radius with respect to time (dr/dt).

B.) To find the water level h as a function of time t, we need to integrate the rate of change of the water level with respect to time (dh/dt) over time. Since water is flowing into the tank at a constant rate of 50m^3/min, we can write:

dh/dt = 50

Integrating both sides with respect to time, we get:

∫dh = ∫50 dt

h = 50t + C

Since we are given that the tank is initially empty at t = 0, we can substitute h = 0 and t = 0 into the equation:

0 = 50(0) + C

C = 0

Therefore, the equation for the water level h as a function of time t is:

h = 50t

C.) To find the rate of change of the radius of the cone with respect to time when the water is 8 meters deep (h = 8), we can use the relationship we derived earlier:

(dr/dt) = 4 * (dh/dt)

We know that the rate of change of the water level with respect to time is dh/dt = 50. Substituting this into the equation, we get:

(dr/dt) = 4 * 50

(dr/dt) = 200

Therefore, the rate of change of the radius of the cone with respect to time when the water is 8 meters deep is 200.

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\(\text{Hi! The Answer to your problem is 45}\)

\(\text {Multiply: (-12)*(-6)=72}\)

\(\text {3^3=27}\)

\(\text {Multiply: 3*3*3=27}\)

\(\text {Subtract: 72-27=45}\)

\(\text{Hey there!}\)

\(\bf{Do\ PEMDAS\ to\ answer\ this\ question}\)

\(\bf{{Parentheses}\)

\(\bf{Exponents}\)

\(\bf{Multiplication}\)

\(\bf{Division}\)

\(\bf{Addition}\)

\(\bf{Subtraction}\)

\(\bf{-12 \times (-6) - 3^3}\)

\(\bf{(-12)\times(-6) = \underline{72}}\)

\(\bf{72 - 3^3\ your\ new\ question\ for\ now}\)

\(\frak{3^3 = 3\times3\times3 = 9\times3 \rightarrow \underline{27}}\)

\(\bf{72 - 27 \ your\ new\ question}\)

\(\bf{72 - 27 = answer}\)

\(\frak{Solve\ above \ \& \ you\ have\ your\ answer\uparrow}\)

\(\text{Thus, your answer: \boxed{\bf{45}}}\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{LoveYourselfFirst:)}\)

Answer:

1. r+s²=49

2. pq²=24

3. -4xy-6x²+2x²y-6y= -54

Step-by-step explanation:

1. r+s²=0+7²=49

2. pq²=(6)(2)²=6(4)=24

3. -4xy-6x²+2x²y-6y= -4(3)(2)-6(3)²+2(3)²(2)-6(2)

                                = -24-6(9)+2(9)(2)-12

                                = -24-54+36-12

                                = -78+36-12

                                = -42-12

                                = -54

Answer:

The relation is not a function

Step-by-step explanation:

First, it's important to know that for a relation to be a function, each input can only have one output. Since the input 3 has both the output 9 and 27, the relation can not be a function.

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Have a GREAT day!!!

Answer:

4, 802 cans will be collected in two weeks

Step-by-step explanation:

343 aluminum cans = 1 day

? = 2 weeks

2 weeks = 14 days

So, 343 x 14 = 4, 802

Answer:

Ice Cube, Liquid Water, and Steam

Step-by-step explanation:

An example of a solid is a ice cube, the particles are compacted together and there's very little movement.

An example of a liquid is water, the particles are more spread around and the movement is more frequent.

An example of a gas is steam, the particles are anywhere, moving fast and sporadic.

The probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6 is 8.08%

The CLT states that the distribution of the sample means of a random variable with a finite mean and standard deviation approaches a normal distribution as the sample size increases.

In this case, the population mean is 0.5, and the population standard deviation is 0.7. Since we have a sample size of 50, the standard deviation of the sample means would be

=> 0.7 / √(50) = 0.099.

Next, we need to calculate the z-score, which measures the number of standard deviations from the mean.

In this scenario, we want to find the probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6. So, we would plug in x = 0.6, μ = 0.5, σ = 0.7, and n = 50 into the z-score formula. This gives us

=> (0.6 - 0.5) / (0.7 / √(50)) = 1.41.

Using a standard normal distribution table or calculator, we can find that the probability of a z-score of 1.41 or higher is approximately 0.0808. Therefore, the estimated probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6 is 0.0808 or about 8.08%.

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Complete Question:

The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. Each month, an SRS of 50 traps is inspected, the number of moths in each trap is recorded, and the mean number of moths is calculated. Based on years of data, the distribution of moth counts is discrete and strongly skewed, with a mean of 0.5 and a standard deviation of 0.7. Estimate the probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6.

Answer:

Step-by-step explanation:

y = x² - 8

put x= 9   you have  y =  (9)² - 8 =81-8 = 73

Answer:

i think it is c hope this help's

pic is Step-by-step explanation:

Answer:

quadrant III

Step-by-step explanation:

if 2 ordered pairs are (-x, -y)

that means they are in the quadrant III

the x-coordinate is negative and the y-coordinate is negative in an ordered pair: (−x, −y). For example: (−3, −5)

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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Answer:

See below

Step-by-step explanation:

I'll provide an example to help you. Let's say we were solving \(x^2+5x-7=0\) and we wanted to factor the quadratic on the left side. We can't do that because the factors of -7 don't add up to 5. So we'd have to use the quadratic formula. The quadratic formula is essentially the last resort that will solve all quadratic equations, so it could be seen as a preferred method. But, unless you can factor the quadratic, it's much easier to solve.

Now let's do another one. \(x^2+5x+6=0\) for example can be written as \((x+2)(x+3)=0\) and we can easily get \(x=-2\) and \(x=-3\) as solutions since plugging them into the factors would produce 0 (from the Zero Product Property). If we used the quadratic formula, it would take more time to plug in the variables and solve when we can just simply factor.

Hopefully, this explanation helps you to think of your discussion post!

Answer:

18 hours

Step-by-step explanation:

Let the volume of the pool be x. Since pipe A filled the  pool in 6 hours, the rate of pipe A = x / 6.

Let the rate of pipe b be y, Hose A filled the pool alone for the first 2 hours, this means that the volume filled in the 2 hours is x/6(2 hours) and the two hoses, working together, then finished filling the pool in another 3 hours for the 3 hours the volume filled is x/6(3) + y(3).  hence the total time is:

x/6(2) + x/6(3) + y(3) = x

x/3 + x/2 + 3y = x

Multiply through by 6:

2x + 3x + 18y = 6x

5x + 18y = 6x

18y = x

y = x/18

The rate of pipe B is x/18, this means it would take pipe B 18 hours to full the pool alone

Answer:

\(area = \pi {r}^{2} \\ = 3.14 \times {(4)}^{2} \\ = 50.24 \: {cm}^{2} \)

The Area of the lens is equal to 50.24 cm²

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here: Elliana is using a magnifying glass and radius of the magnifying glass has radius of 4 cm.

The formula for the area of a circle is A = πr², where r is the radius of the circle. The unit of area is the square unit, for example, m², cm², in², etc.

Thus Area of the lens of the glass is equal to A=πr²

                                                                              =3.14×4²

                                                                              =50.24 cm²

Therefore the len's Area is 50.24 cm²

Hence, The Area of the lens is equal to 50.24 cm²

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Answer:

the answer is the second one

Step-by-step explanation:

hoped I helped:)

Answer:

0.02, 0.17, 0.2, 0.72, 2.27

Step-by-step explanation:

that's the answer!

Answer:

the answer is D

Step-by-step explanation:

Answer: D AKA (10*5)

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

A' represents everything out A

B' represents everything out B

C' represents everything out C

So only the outside is left hope this helps

Answer:

Length.

Step-by-step explanation:

Any polygon's measurements include:

The number of sides of the shape. The angles between the sides of the shape. The length of the sides of the shape.

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The answer is after these two changes, the salary is lower than the original.

The salary is lower (It is lower) after these two changes.

Given that,

- In 2000, salary increased by 25%

- in 2001, salary decreased by 25%

- Let the salary be X.

According to the scenario, the computation of given data are as follows.

\($$\begin{aligned}&\text { 2000 Salary }=1 X+(X \times 0.25) \\&=1.25 X \\&\mathbf{2 0 0 1} \text { salary }=1.25 X-(1.25 X \times 0.25) \\&=1.25 X-0.3125 X \\&=0.93 X\end{aligned}$$\)

Then, After these two changes, the salary is lower than the original.

What is the percentage?

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The probability that the mean cholesterol level in a random sample of twenty women aged 20 to 55 is between 200 and 240 mg/dl is about 89.24%.                   

To find the probability that the mean cholesterol level in a random sample of twenty women is between 200 and 240 mg/dl using a TI-84 calculator, follow these steps:

1. First, calculate the standard error (SE) of the sample mean using the formula: SE = standard deviation / √(sample size). In this case, SE = 45.2 / √(20) ≈ 10.1.

2. Next, convert the lower and upper limits of the desired range (200 and 240) to z-scores using the formula:                                        

z = (x - mean) / SE. For the lower limit, z1 = (200 - 212) / 10.1 ≈ -1.19. For the upper limit, z2 = (240 - 212) / 10.1 ≈ 2.77.

3. Now, turn on your TI-84 calculator and press the 2ND button followed by the VARS button to access the distribution menu. Scroll down and select "2: normalcdf(".

4. Enter the z-scores, lower limit, and upper limit as follows: normalcdf(-1.19, 2.77). Press ENTER.

5. The calculator will display the probability, which is approximately 0.8924 or 89.24%.

So, the probability that the mean cholesterol level in a random sample of twenty women aged 20 to 55 is between 200 and 240 mg/dl is about 89.24%.

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Answer:

8

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

The linearized equation around its equilibrium position is given as;f(x) = -4.8(x - 1.39)

The given equation is x² + 2x* + 2x² - 12x + 10 = 0.

It needs to be linearized around its equilibrium position.

Linearizing the given equation around its equilibrium position x0, we have;

f(x) = f(x0) + f'(x0)(x - x0)

Where f(x) = x² + 2x* + 2x² - 12x + 10

The equilibrium position is the point where f(x) = 0.

Hence, f(x0) = 0.

Thus, x² + 2x* + 2x² - 12x + 10 = 0⇒ 3x² - 6x = -10⇒ x² - 2x + (2.33) = 0(x-1)² = 0.77x - 0.77 or

x = 1 + (0.77)/(2) or x = 1.39

Hence, the equilibrium position x0 = 1.39.

Substitute x0 = 1.39 in the equation and simplify to get f'(x0):

f(x) = x² + 2x* + 2x² - 12x + 10

f(x) = 3.84 - 8.34 + 10

f'(x0) = f'(1.39) = -4.8

Therefore, the linearized equation around its equilibrium position is given as;f(x) = -4.8(x - 1.39)

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Answer:

5$ per hour

Step-by-step explanation:

\( \frac{22.50}{4.5} = 5\)