simplify Squrareroot -50

Answer:

84° and 48°

Step-by-step explanation:

1st of all, the inner angle of rhombus would total up into 360° and the opposite for each angle is equal to each other.

As ∆WXY = 84°, so

∆WZY = 84°

Any diagonal line in the rhombus would make the angle get divided equally i.e ∆XWZ

So find ∆XWZ first.

∆XWZ = (360° - 84° - 84°) ÷ 2

= 192° ÷ 2

= 96°

∆XWY = 96° ÷ 2

= 48°

Answer:

no

Step-by-step explanation:

Answer:

Step three

Step-by-step explanation:

She placed the point on C when it was supposed to be on E

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

The value of a3 for the given recursive pattern is 446

A sequence can either follow an arithmetic progression or geometric progression or none

The given parameters are:

\(a_1 = 4\)

\(a_n = (a_{n-1})^2 + 5\)

Start by calculating a2

\(a_2 = (a_{2-1})^2 + 5\)

\(a_2 = (a_1)^2 + 5\)

Substitute 4 for a1

\(a_2 = 4^2 + 5\)

\(a_2 = 21\)

Next, calculate a3

\(a_3 = (a_{3-1})^2 + 5\)

\(a_3 = (a_{2})^2 + 5\)

Substitute 21 for a2

\(a_3 = 21^2 + 5\)

\(a_3 = 446\)

Hence, the value of a3 is 446

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Answer: 41

Step-by-step explanation:

Research has shown that competent communicators achieve effectiveness by adjusting their behaviors to the person and situation (option e).

Effective communication involves being adaptable and responsive to the specific context, individual preferences, and the needs of the situation.

Competent communicators recognize that different people have different communication styles, preferences, and expectations. They understand the importance of tailoring their communication approach to effectively connect and engage with others.

This may involve using appropriate language, tone, non-verbal cues, and listening actively to understand the needs and perspectives of others.

By adapting their behaviors, competent communicators can build rapport, foster understanding, and promote effective communication exchanges. They are mindful of the social and cultural dynamics at play, and they strive to communicate in a way that is respectful, inclusive, and conducive to achieving mutual goals.

In summary, competent communicators understand that effective communication is not a one-size-fits-all approach. They adjust their behaviors to the person and situation, demonstrating flexibility and adaptability in order to enhance communication effectiveness.

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Competent communicators achieve effectiveness mostly by adjusting their behaviors to suit the person they are communicating with and the situation they find themselves in. While other factors, like having a broad vocabulary or giving feedback, play a part in effective communication, the former is considered the most crucial.

Research suggests that competent communicators achieve effectiveness mostly through adjusting their behaviors depending on the person they are communicating with and the situation they are in. This is option e. of your question. Communicating effectively involves behaviors like active listening, understanding the other person's point of view, being able to express thoughts and ideas clearly, and being polite and respectful. While a broad vocabulary (option b.) can be useful, it is not as crucial as adapting your behavior to fit the situation. Moreover, giving feedback (option d.) is a part of effective communication but not the sole defining factor. Apologizing when offending others (option c.) is also important but it doesn't necessarily make one a competent communicator. Using the same type of behavior in various situations (option a.) might not always work, as different situations and individuals require different communication styles.

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The probability of picking a 4 and then picking a divisor of 36 is 16.67% .

Probability = favorable outcome/total number of outcomes

Total number of outcomes = 4

Picking a card 4 = 1

The probability of picking a 4 = 1/4

Total card left = 3

Picking a divisor of 36 i.e. 2,3 = 2

The probability of picking a divisor of 36 = 2/3

Total probability = 1/4 × 2/3

Total probability = 2/12

Total probability = 1/6

Percentage = 1/6×100

Percentage = 16.67

The probability of picking a 4 and then picking a divisor of 36 is 16.67% .

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a) No

b) Yes

1) Let's check algebraically whether (0,0) is the solution set

-2x +3y > 9 Plug into x and y the values of 0,0

-2(0) +3(0) > 9

0 > 9 FALSE! Since 0 can't be greater than 9

1.5x - y ≥ -4 Plug into x and y the values of 0,0

1.5(0) -0 ≥ -4

0 ≥ -4 True

2) Hence, point (0,0) verifies only the second equation.

The radius of the cylinder with a volume of 885 cubic inches is 4.9 in.

A cylinder is simply a there-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = πr²h

Where r is radius of the circular base, h is height and π is constant pi.

Given that;

Plug the given values into the above formula and solve for radius r.

V = π × r² × h

885 in³ = 3.14 × r² × 11.7 in

885 in³ = r² × 36.738 in

r² = 885 in³ / 36.738 in

r = √( 885 in³ / 36.738 in )

r = 4.9 in

Therefore, the value of the radius is 4.9 inch.

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Maslow's hierarchy of needs model helps to explain that employees are always motivated to satisfy one or more needs but that a satisfied need is no longer a motivator. This statement is also known as the satisfaction principle and represents the theory that when a need is met, it no longer serves as a motivator for behavior.

Maslow's hierarchy of needs model is a motivational theory that outlines five basic needs that humans need to satisfy to achieve self-actualization.

The five needs include physiological, safety, love/belonging, esteem, and self-actualization.

The model suggests that individuals seek to satisfy their basic needs in a specific order, starting with physiological needs.

Once the basic needs are satisfied, individuals move up to the next level of needs, until they reach the self-actualization stage.

Each of the five needs has to be satisfied before moving up to the next level.

This theory suggests that once a need is satisfied, it is no longer a motivator for behavior.

Therefore, when an employee satisfies a need, they no longer seek to fulfill it, and they start working towards fulfilling the next need.

The satisfaction principle is what explains that a satisfied need is no longer a motivator.

The theory suggests that employees will continue to be motivated by unsatisfied needs, and their behavior will be driven by the need to fulfill these needs.

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Answer:

Step-by-step explanation:

I am so sorry, but I actually don’t know how to do that. What grade is this? Dang it this is really hard.

The angle between vectors A and B is approximately 89.78 degrees.

To find the angle between vectors A and B, we can use the dot product formula:

A · B = |A| |B| cos(θ)

Given that Ā· B = 4 and knowing the magnitudes of vectors A and B:

|A| = √(22² + 33²)

    = √(484 + 1089)

    = √(1573)

    ≈ 39.69

|B| = √((-1)² + 23² )

    = √(1 + 529)

    = √(530)

    ≈ 23.02

Substituting the values into the dot product formula:

4 = (39.69)(23.02) cos(θ)

Now, solve for cos(θ):

cos(θ) = 4 / (39.69)(23.02)

cos(θ) ≈ 0.0183

To find the angle θ, we take the inverse cosine (arccos) of 0.0183:

θ = arccos(0.0183)

θ ≈ 89.78 degrees

Therefore, the angle between vectors A and B is approximately 89.78 degrees.

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If you can earn 8 percent on your money, the prize worth to you is: $76,812.50. To calculate the present value of the prize, we need to determine the current worth of receiving $1000 per month for 9 years, given an 8 percent annual interest rate.

This situation can be evaluated using the concept of the present value of an annuity. The present value of an annuity formula is used to find the current value of a series of future cash flows. In this case, the future cash flows are the $1000 monthly payments for 9 years. By applying the formula, which involves discounting each cash flow back to its present value using the interest rate, we find that the present value of the prize is $76,812.50.

This means that if you were to receive $1000 per month for 9 years and could earn an 8 percent return on your money, the equivalent present value of that prize, received upfront, would be $76,812.50.

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A chi-square test of independence is indeed a one-tailed test. The reason for this is that we are testing whether the observed frequencies of two categorical variables are significantly different from the expected frequencies.

We square the deviations between the observed and expected frequencies, and since deviations can only be positive, the test statistic always lies at or above zero. Hypothesis tests are one-tailed when dealing with sample data because we have a specific direction for our research question. In the case of a chi-square test of independence, we are interested in whether one variable is dependent on the other variable, so we have a directional hypothesis. Furthermore, the chi-square distribution is positively skewed, meaning that the majority of the distribution is on the right-hand side. This is important to consider when interpreting the results of a chi-square test.

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The slope is 2/3 and the y-intercept is 4, then the equation of the line in slope-intercept form would be y=2/3x+4. This means that the line has a slope of 2/3 and crosses the y-axis at 4.

The slope-intercept form of a linear equation is written as y=mx+b, where m is the slope of the line and b is the y-intercept. The slope of the line represents the rate at which the line is rising or falling, while the y-intercept represents the point where the line crosses the y-axis.

To find the equation of a line in slope-intercept form, you need to know its slope and y-intercept. The slope is usually given as a fraction or a decimal, while the y-intercept is a single number.

To write the equation of a line in slope-intercept form, you start by substituting the slope and y-intercept values into the formula. Then, simplify the equation by multiplying the slope by the x-value and adding the y-intercept to get the value of y.
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Let's determine the height of the building using ratios and proportions.

Where,

h = height of the building

We get,

Therefore, the height of the building is approximately 105 m.

Answer:

Santosh purchased 4 new and 4 used DVDs.

Step-by-step explanation:

From the information given, as you know that Santosh spent $200 and that the DVD player cost $120, you can say that the new and used DVDs cost $80, which can be expressed as:

15x+5y=80, where:

x refers to the number of new DVDs

y refers to the number of used DVDs

Now, as the statement indicates that Santosh purchased the same number of new and used DVDs, this means that x is equal to y and you can replace y with x and solve for x:

15x+5x=80

20x=80

x=80/20

x=4

According to this, the answer is that Santosh purchased 4 new and 4 used DVDs.

Using the given exponential function, it is found that it will take 1.5 years for the  amount of savings to double from the initial amount deposited of $1250.

The exponential function that models the savings in the bank account is given by:

\(S(t) = 1250e^{0.45t}\)

The time to double from the initial amount deposited of $1250 is t for which S(t) = 2(1250) = 2500, hence:

\(S(t) = 1250e^{0.45t}\)

\(2500 = 1250e^{0.45t}\)

\(e^{0.45t} = \frac{2500}{1250}\)

\(e^{0.45t} = 2\)

\(\ln{e^{0.45t}} = \ln{2}\)

\(0.45t = \ln{2}\)

\(t = \frac{\ln{2}}{0.45}\)

\(t = 1.5\)

It will take 1.5 years for the  amount of savings to double from the initial amount deposited of $1250.

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The answer choice which represents a function among the given answer choices is; Choice B.

According to the given task content; the table which represents a function among the given answer choice is to be identified.

Recall that a function can be defined as a relation in which case; each input value is assigned not more than one value.

By observation, only the answer choice B has a combination of input and output values in which case; each input value is assigned only one output value.

Hence, since a function is a relation which is characterized by assigning only one output value to each input value; the correct answer choice is; Choice B.

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Answer:

A) The lower portion of the lungs has more oxygen than perfusion.

Step-by-step explanation:

Answer:

thx for points

Annual Medical cost = 1269.86

monthly premium cost to Ronald for the Blue Shield plan = $48.48.

For all doctor office visits, prescriptions, and major medical charges, Ronald will be responsible for 35 percent and the insurance company will cover 65 percent of covered charges.

The annual deductible cost = $630.

Ronald decided to review his medical bills from the previous year to see what costs he had incurred and to help him evaluate his choices. He visited his general physician 6 times during the year at a cost = $105 for each visit.

He also spent $71 and $95 on two prescriptions during the year.

= (Monthly premium cost × 12) + Deductible cost + (Coinsurance percent × Coinsurance expenses)

= (48.48 x 12) + 630 + (0.35 x 166)

= 1269.86

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Answer:

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Step-by-step explanation:

The equation that best represents the line of best fit in the scatterplot of the recommended dosage of Vitamin D throughout a person's life is option D) y = -1/5x + 2.

To determine the equation of the line of best fit, we look for the equation that best approximates the trend in the scatterplot. In this case, we need to consider the slope and the y-intercept of the line. Option D) y = -1/5x + 2 has a slope of -1/5 and a y-intercept of 2. The negative slope indicates that as x (the person's life stage) increases, y (the recommended dosage of Vitamin D) decreases. This negative relationship aligns with the scatterplot's downward trend, where higher life stages correspond to lower recommended dosages. The magnitude of the slope, 1/5, suggests that for each unit increase in x, there is a decrease of 1/5 units in y. This reflects a consistent rate of change between the variables.Additionally, the y-intercept of 2 indicates that at the start of the person's life (x = 0), the recommended dosage is 2 units. This aligns with the scatterplot's intersection with the y-axis.

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Answer:

all we need to do is keep on adding 1/4 until you get to 1 1/2 its lik dividing to how muc times con 1/4 go into 1 1/2. so you run 7 laps

this is you answer

Step-by-step explanation:

example: at home you walk around your yard and you walked 4 1/2 miles. and yard is 1/2 of a mile. 1/2+1/2+1/2+1/2+1/2+1/2+1/2+1/2+1/2=4 1/2

so 1/2 can go into 4 1/2 9 times.

(a) The equation of motion is x'' - 0.0971x = 0.

(b) The amplitude is 0.667 ft and the period is 11.53 s.

(c) The mass completes 0 complete cycles at the end of 3π seconds.

(d) The mass passes through the equilibrium position heading downward for the second time at 0.669 seconds after it is released.

(a) To find the equation of motion for this system, we can use the formula:

mx'' + kx = 0

Where m is the mass, k is the spring constant, and x is the displacement from equilibrium.

First, we need to find the spring constant, k.

We can use Hooke's Law, which states that the force exerted by a spring is proportional to its displacement from equilibrium:

F = -kx

Where F is the force exerted by the spring, and x is the displacement from equilibrium.

We know that when the mass weighs 64 pounds,

The spring stretches 0.32 feet.

Converting pounds to force using the formula F = mg,

Where g is the acceleration due to gravity (32.2 ft/s²), we get:

F = 64 lb (1/32.2 ft/s²)

  = 1.9888 lb ft/s²

We also know that the displacement from equilibrium is 0.32 feet. Substituting these values into Hooke's Law, we get:

1.9888 lbft/s² = -k 0.32 ft

Solving for k, we get:

k = -6.215 lb/s²

Now we can substitute m and k into the equation of motion and simplify:

mx'' + kx = 0 64 lb

x'' - 6.215 lb/s² x = 0

x'' - 0.0971x = 0

This is a second-order linear homogeneous differential equation with constant coefficients. The general solution is:

x(t) = c1 cos(√(0.0971)t) + c2sin(√(0.0971)t)

Where c1 and c2 are constants determined by the initial conditions.

(b) The amplitude and period of motion can be found from the general solution. The amplitude is the maximum displacement from equilibrium, which is equal to the initial displacement of the mass:

A = 8 in

  = 0.667 ft

The period is the time it takes for one complete cycle of motion, which is given by:

T = 2π /Ω

Where Ω is the angular frequency, which is equal to √(k/m):

Ω = √(6.215 lb/s² / 64 lb)

   = 0.544 rad/s

Substituting this value into the formula for the period, we get:

T = 2π/0.544 s

  = 11.53 s

(c) To find the number of complete cycles completed by the mass in 3π seconds, we can divide the time by the period:

n = (3πs) / (11.53 s/cycle)

  = 0.817 cycles

Since the mass cannot complete a fraction of a cycle, we can say that the mass completes 0 complete cycles at the end of 3πseconds.

(d) To find the time at which the mass passes through the equilibrium position heading downward for the second time,

We first need to find the phase shift, ∅, of the motion. The phase shift is the amount by which the motion is shifted to the right or left from the equilibrium position.

In this case, the motion is shifted to the right by π/2 radians, since the mass is released from a point 8 inches above the equilibrium position.

The general solution for x(t) can be rewritten as:

x(t) = A cos(√(0.0971)t - ∅)

Where A is the amplitude and phi is the phase shift.

Since we know that the mass is heading downward at this point,

we can set x'(t) = -5 ft/s and solve for t:

x'(t) = -A √(0.0971) sin(√(0.0971)t - ∅)

      = -5 ft/s

Solving for t, we get:

t = ∅/√(0.0971) + arcsin(5/(A√(0.0971)))

Substituting in the values for A, ∅, and solving, we get:

t = 0.669 s

Therefore, the mass passes through the equilibrium position heading downward for the second time at 0.669 seconds after it is released.

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Answer:

First choice

Step-by-step explanation:

Angles A and D are vertical angles

Angles A and Z are alternate exterior angles

The value of cos Θ /2 and tan Θ /2 can be found to be:

We are given that  90° < Θ < 180°,  which means that theta would be in the second quadrant.

We can therefore use half - angle formulas to find cos Θ /2 and tan Θ /2.

To find cos Θ /2, we have:

cos(Θ/2) = ±√((1 + cos(Θ))/2)

cos(Θ/2) = ±√((1 - √(4/13))/2)

cos(Θ/2) = √((1 - √(4/13))/2)

To find tan Θ /2, we have:

tan(Θ/2) = ±√((1 - cos(Θ))/(1 + cos(Θ)))

tan(Θ/2) = ±√((1 + √(4/13))/(1 - √(4/13)))

tan(Θ/2) = √((1 + √(4/13))/(1 - √(4/13)))

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The full question is:

Suppose that tan Θ = - 3/2 and 90 °< Θ < 180 °.

Find the exact values of cos Θ /2 and tan Θ /2

Answer:

4.5

Step-by-step explanation:

To answer the problem:

PK * PN = PL^2

Let PN = x

8x = 10^2

8x = 100

x = 100/8

x = 12.5

KN = PN - PK

12.5 - 8 = 4.5 would be the length of segment KN.