3 lines are shown. A line with points C, A, F intersects a line with points E, A, B at point A. A line extends from point A to point D in between angle E A F. Angle C A E is 61 degrees, angle D A F is 90 degrees, and angle F A B is 61 degrees. Find the following angle measures. mAngleEAD = ° mAngleCAB = °

The expressions 2(3a - 2) and 2(5a - 2) are not equivalent. Since these two results are different, we can conclude that Suzanne's claim is incorrect.

To determine if two expressions are equivalent, we need to simplify them and see if they have the same result. Let's start by simplifying the first expression, 2(3a - 2):

2(3a - 2) = 2 * 3a - 2 * 2
          = 6a - 4

Now, let's simplify the second expression, 2(5a - 2):

2(5a - 2) = 2 * 5a - 2 * 2
          = 10a - 4

After simplifying both expressions, we can see that they are not the same. The first expression simplifies to 6a - 4, while the second expression simplifies to 10a - 4.

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Answer:

The answer is option 2.

Step-by-step explanation:

You have to apply Logarithm Laws :

\( ln( a) - ln(b) ⇒ ln( \frac{ a}{b } ) \)

\( ln( {x}^{2} ) ⇒2 ln(x) \)

For this question :

\( ln( \frac{ {x}^{2} }{18} ) \)

\( = ln( {x}^{2} ) - ln(18) \)

\( = 2 ln(x) - ln(18) \)

No, a cubic function with real coefficients cannot have two real zeros and one complex zero.

A cubic function is of the form f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are real coefficients. The fundamental theorem of algebra states that a polynomial of degree n has exactly n complex zeros, counting multiplicities.

If a cubic function has two real zeros, it means that it has two roots that are real numbers. Let's call them r1 and r2. Since the coefficients of the cubic function are real, the complex conjugates of r1 and r2 must also be zeros of the function. Let's call the complex zero z. If z is a complex zero, then its conjugate z* is also a zero.

Therefore, for a cubic function to have two real zeros and one complex zero, it would need to have at least four zeros, which contradicts the fundamental theorem of algebra. According to the theorem, a cubic function can have at most three zeros.

In conclusion, a cubic function with real coefficients cannot have two real zeros and one complex zero. It can either have three real zeros or one real zero and a pair of complex conjugate zeros.

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Answer:

A.  (5,-9) and (5,9) are reflections over the y-axis

Step-by-step explanation:

Answer:

18 years

Step-by-step explanation:

Transforming the question in form of equation:

Let x be the current age.

x + 32 = 5(x-8)

x + 32 = 5x - 40

5x - x = 40 + 32

4x = 72

x = 18

Answer: look at this! He’s 18

Step-by-step explanation:

equation = x+32=5(x-8)

X+32=5x-40

5x-x=32+40

4x=72

X=72/4

=18

The value for x is 7π/6 and 11π/6.

sin2xsecx+2cosx=0

(2sinxcosx)(1/cosx)+2cosx=0

sinxcosx/cosx+2cosx=0

So,

2sinx+2cosx=0

2(sinx+cosx)=0

(2(sinx+cosx))²=0

4(sin²x+cos²x+2sinxcosx)=0

hence,

(sin²x+cos²x+2sinxcosx)/4=0/4

sin2x+cos2x+2sinxcosx=0

1+sin2x=0

sinx=−1/2

=7π/6 and 11π/6

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The researcher in question has performed a meta-analysis. A meta-analysis is a statistical method used to synthesize the findings from multiple studies that have investigated a similar research question using the same variables and measurement strategies. In this case, the researcher is interested in examining the relationship between exercise and myasthenia gravis.

The process of conducting a meta-analysis involves several steps. First, the researcher identifies and selects relevant studies that meet specific criteria, such as using the same dependent and independent variables (in this case, exercise and myasthenia gravis). In this scenario, 28 studies were identified that meet these requirements.
Next, the researcher extracts the relevant data from each study, such as effect sizes, sample sizes, and other important information. This allows the researcher to compare and combine the results of the individual studies into a single, comprehensive statistical analysis.

In summary, the researcher has conducted a meta-analysis to synthesize the results from 28 studies examining the relationship between exercise and myasthenia gravis, allowing for a more comprehensive understanding of the topic.

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The cumulative n(10) plot is useful for determining the average bombardment intensity of the surface over time.

The main difference between an r-plot and a cumulative n(10) plot is that an r-plot is a graph of the number of craters per unit area (R) versus the crater size (D), while a cumulative n(10) plot is a graph of the total number of craters larger than a certain size (N) versus the crater size (D). The r-plot is a direct representation of the cratering of a surface, as it shows the number of craters of each size present on the surface. The cumulative n(10) plot, however, shows the cumulative number of craters larger than a certain size. This is calculated by summing the number of craters greater than a certain size over the surface area (A): N(D) = ∑R(D)A. The cumulative n(10) plot is useful for determining the average bombardment intensity of the surface over time.

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The component form of the linear combination of the two vectors is u - 2v = < -5, 20>

Here we have the two vectors: u = <-3, -2> and v = <1, -5> We want to determine the value of the linear combination:

u - 2v

To do that we just add the correspondent components, then we get:

u - 2v = <-3, -2> - 2*<1, -5>          

= <-3, -2> - <2*1, 2*-5>          

= <-3, -2> -  <2, -10>          

= < -3 - 2, -2 -(-10)>          

= < -5, 20>

That is the component form of the linear combination.

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Imagine that a survey of randomly selected people finds that people who used sunscreen were more likely to have been sunburned in the past year.

There are several possible explanations for the finding that people who used sunscreen were more likely to have been sunburned in the past year.

However, without additional context or data, it is difficult to determine the most likely explanation definitively. Here are a few possible explanations to consider:

1. Ineffective or improper use of sunscreen: It is possible that the individuals who reported using sunscreen did not apply it correctly or did not reapply it as recommended.

Inadequate application or failure to follow proper sunscreen usage guidelines could result in insufficient protection from the sun's harmful rays, leading to sunburn.

2. Self-selection bias: It is possible that individuals who have previously experienced sunburns may be more likely to use sunscreen. They may be more aware of the potential risks and take precautions, including using sunscreen.

This could create an association between sunscreen use and sunburn, even though sunscreen itself is intended to prevent sunburn.

3. Recall bias: The survey responses may be subject to recall bias, where individuals may inaccurately remember or report their sunscreen use and sunburn experiences.

Memory limitations or subjective perceptions of sunburn severity could influence the reported data and the observed association between sunscreen use and sunburn.

4. Confounding factors: There may be other factors or variables at play that are related to both sunscreen use and sunburn. For example, individuals who engage in activities that increase sun exposure or who have certain skin types may be more likely to both use sunscreen and experience sunburn.

It is important to note that further investigation, including more detailed surveys, data collection and statistical analysis, would be necessary to determine the most likely explanation for the observed association between sunscreen use and sunburn.

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The applicable rules of exponents are ...

  \(\displaystyle\sqrt[n]{x^m}=x^{\frac{m}{n}}\\\\(x^a)^b=x^{ab}\\\\(xy)^a=x^ay^a\)

Answer:

2.75

Step-by-step explanation:

(11/12) / (1/3) = 2.75

Answer:

the answer is: 11/4

In order to identify these mentioned terms, it is important that each of them is defined.

Diameter: It is a line that passes through the center of the circle from one endpoint to another. It is two times the radius of the circle

Radius: It is a line drawn from the center of the circle to one endpoint of the circle.

It is half of the diameter.

Chord: It is a line drawn from one endpoint of the circle to another but does not necessarily pass through the center. Diameter is an example of a chord, but a chord does not have to be a diameter

Arc: It is a segment of the circumference of a circle

Circumference: is the total distance around the circle

From the diagram above:

|AB| is a diameter

|OA| or |OB| is the radius

|CD| is the chord

Arc CD is indicated on the diagram

If a circle has a radius of 2 cm:

Diameter = 2 x radius

Diameter = 2 x 2

Diameter = 4 cm

Therefore, if a circle has a radius of 2 cm, the diameter is 4 cm

If a lawn sprinkler sprays water 7 feet in every direction as it rotates, the area of the watered lawn is approximately 153.94 square feet.

Assuming the sprinkler is placed at the center of the lawn, the area of the watered lawn can be found by calculating the area of a circle with a radius of 7 feet. The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.

Plugging in the given value of the radius, we get:

A = π(7 feet)^2

A = 153.94 square feet (rounded to two decimal places)

It's important to include the correct unit of measure, which is square feet in this case, to avoid confusion.

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Answer:

are u sure the question is completed?

The slope of the line tangent to the polar curve

r=4θ^2 at the point where

θ=π/4 is -8 Given that the polar curve is

r = 4θ². We have to find the slope of the tangent line at

θ = π/4. Now, we know that

r = f(θ) which is defined as below

f(θ) = 4θ²Let's find the first derivative of r with respect to θ. We get

dr/dθ = d/dθ (4θ²)

=> 8θAt θ

= π/4,

dr/dθ

= 8(π/4)

= 2π We can find the slope of the tangent line as below

y/x = tan(θ)

=> y' / x' = slope of the tangent line

=> slope of the tangent line

= y' / x'At θ

= π/4, the point on the curve is (4(π/4)²,

π/4) = (π, π/4) Now, we know that

x = r cosθ and

y = r sinθ Differentiating both the above equations with respect to θ, we get

dx/dθ = cosθ(-4θsinθ) + r cosθ

= -4θsinθcosθ + 4θ²cosθ

dy/dθ = sinθ(4θcosθ) + r sinθ

= 4θsin²θ + 4θ²sinθAt

θ = π/4, we have

dx/dθ = -2√2 and

dy/dθ = 2√2 Hence, slope of the

tangent line = dy/dθ / dx/dθ

= (2√2) / (-2√2)

= -1. So, slope of the tangent line at

θ = π/4 is -8. Therefore, the correct answer is -8.

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Answer:

B

Step-by-step explanation:

Circumference=(pi)d

3*3.14=9.42

Answer: 2(x^2 + 1)

Step-by-step explanation: its either that or no solution for this question

Answer first 8-5=3 3-2=1 5,1  is you answer kind sir mam or them

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

If the perimeter is 58,

take 17(2) for booth sides.

Which you will get 34.

58-34=24

Now you know that the remainder is the two vertical sides.

24/2=12

BC=12

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer:

Dear user,

Answer to your query is provided in image attached

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The graph of the equation y + 2 = 1/2 (x + 2) is given below.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

y + 2 = 1/2 (x + 2)

The line will have its x-intercept at 2

y = 0

0 + 2 = 1/2 (x + 2)

2 = 1/2 (x + 2)

4 = x + 2

x = 4 - 2

x = 2

The line will have its y-intercept at -1.

x = 0

y + 2 = 1/2 (0 + 2)

y + 2 = 1

y = 1 - 2

y = -1

Thus,

The graph of the equation y + 2 = 1/2 (x + 2) is given below.

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Answer:3

explation:square have 4 side

perimetter of square=4l

so, 12/4=3

The statement "To determine chilling hours for an area, count the cumulative number of hours between November 1st and February 15th that the air temperature is between 32 and 45 degrees F" is true.

In horticulture, chilling hours are the number of hours in which the air temperature is between 32 and 45 degrees Fahrenheit and are commonly used in fruit crop production to determine the required winter rest period. It is calculated between November 1st and February 15th since these months are considered the winter season and are known for their cool temperatures.

Chilling hours are an essential factor in determining the growth, development, and yield of fruit trees, which require a particular amount of chilling hours to flower and bear fruit.

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Answer:

Step-by-step explanation:

12.50

Answer:

B

Step-by-step explanation:

constant of proportionality = 10/20 = 1/2

y/x = 1/2

y = 1/2x

y = 1/2 * 25

y = 25/2

y = 12.5

Let's find the equivalent equation to:

4x + 2y = 12

2y = 12 - 4x

Dividng by 2 at both sides:

2y/2 = 12/2 - 4x/2

y = 6 - 2x

We can see that choices B and C are not correct because the signs.

If we multiply by 2 at both sides, we have:

2y = 12 - 4x

We can see that if we change the order at the right side of the equation, we have:

2y = -4x + 12

I think now you are ready to select the correct choice, Deppreso.

The estimated crop yield from the simulation is 443 (option b).

To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.

Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81

To find the estimated crop yield, we sum up all the random numbers:

37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443

Therefore, the estimated crop yield from the simulation is 443. The correct option is b.

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