THE LENGTH AND BREADTH OF A RRCTANGLE ARE IN RATIO 4:3 AND THE DIAGONAL MEASURES 10 CM THEN ITS PERIMETER IS

Answer:

the answer is c

Step-by-step explanation:

not enough information

Answer:

Step-by-step explanation:

İt is SSS

Because

∡FBG=∡FBC

∡BFC=∡BFG

=> ∡BCF=∡BGF => SSS

Answer:

16x - 2 + y

Step-by-step explanation:

(48x - 6 + 3y)/3 = 48x/3 - 6/3 + 3y/3 = 16x - 2 + y

Answer:

whole

Step-by-step explanation:

add the whole numbers first, then the fractions

Answer:

\(you \: add \: the \: whole \: number \: then \\ the \: fraction\)

Step-by-step explanation:

\(this \: helps \: to \: make \: the \: addition \\ more \: easier\)

The graph of the linear equation, 5x - 9y = -7, is in the attachment below.

The linear equation that models a graph can be written in  slope-intercept equation as y = mx + b. The value of the slope, which is the rise over the run of the line is represented as m, while the value of b, which is where the line intercepts the y-axis is b.

Given the linear equation, 5x - 9y = -7, rewrite in slope-intercept form:

5x - 9y = -7

-9y = -5x - 7

-9y/-9 = -5x/-9 - 7/-9

y = 5/9x + 7/9

This means the rise over the run of the line, m is 5/9, while the y-intercept of the graph, b is 7/9.

The graph is shown below.

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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 closest measurement in square inches to the overall surface area of the candle is 87.92 square inches.

To find the total surface area of the candle, we need to calculate the lateral surface area (excluding the top and bottom) and then add the areas of the two circular bases.

1. Lateral Surface Area:

The formula for the lateral surface area of a cylinder is given by A = 2πrh, where r is the radius of the base and h is the height of the cylinder.

Given that the diameter of the candle is 4 inches, we can calculate the radius by dividing the diameter by 2:

Radius (r) = 4 inches / 2 = 2 inches

Height (h) = 5 inches

Using the formula, we can calculate the lateral surface area:

Lateral Surface Area = 2π(2 inches)(5 inches) = 20π square inches

2. Base Area:

The formula for the area of a circle is given by A = πr^2, where r is the radius of the circle.

Using the radius calculated earlier (r = 2 inches), we can calculate the area of each circular base:

Base Area = π(2 inches)^2 = 4π square inches

3. Total Surface Area:

To find the total surface area, we add the lateral surface area and the areas of the two circular bases:

Total Surface Area = Lateral Surface Area + 2(Base Area)

Total Surface Area = 20π + 2(4π) = 20π + 8π = 28π square inches

Approximating the value of π to 3.14, we can calculate the approximate total surface area:

Total Surface Area ≈ 28(3.14) = 87.92 square inches

Therefore, the closest measurement to the total surface area of the candle in square inches is 87.92 square inches.

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Answer:

\(\frac{3}{4}\) [4÷(7-4)]=1.

Step-by-step explanation:

first we need to convert \(\frac{3}{4}\) into a decimal (0.75) to make it easier to solve. now we have 0.75 [4÷(7-4)]. using the order of operations, we get 1 as the answer.

Isaiah's thinking is correct. Compound interest does earn $341.95 more than simple interest in 60 months.

Let P be the principal amount of $7,000

Let r be the annual interest rate of 6%

Let n be the number of compounding periods per year.

Using formula for simple interest: I = Prt, the interest earned after 60 months is:

I = 7,000 × 0.06 × 5

I = $2,100.

Using formula for compound interest \(A = P(1 + r/n)^{nt}\). The amount after 60 months with monthly compounding is:

\(A = 7,000*(1 + 0.06/12)^{12*5}\\A = 7,000*1.34885015255\\A = 9441.95106785\\A = $9441.95\)

The interest earned is:

I = A - P

I = $9441.95 - $7,000

I = $2,441.95.

The difference in interest earned between compound and simple interest is:

= $2,441.95 - $2,100

= $341.95.

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Answer:

Step-by-step explanation:

1. Increase of 10% in price of shirt.
2. Decrease of 10% in price of shirt.
Hence- both amounts cancel out, therefore there is 0% change in price of shirt as both percentages cancelled out, or we can say nullified each other. Because they added the same amount to the item and then subtracted the same percent leading to no change.

The simplified form of the expression is "5 ³√x²."

We are given the expression 7 ³√x² - 2 ³√x². Both terms have the same base, which is the cube root of x squared. When we subtract these terms, we are left with 7 ³√x² minus 2 ³√x², which simplifies to 5 ³√x². Therefore, the simplified form of the expression is 5 ³√x².

To simplify the expression, let's break it down step by step.

The expression is 7 ³√x² - 2 ³√x². Both terms have the same base, which is the cube root of x squared.

To subtract the terms, we need to have the same base. Let's denote the cube root of x squared as a common factor: ³√x². Now we can rewrite the expression as follows:

7 * ³√x² - 2 * ³√x²

Next, we can simplify each term individually. For the first term, 7 * ³√x², we can multiply the coefficients: 7 * ³√x² = 7 * x^(2/3) = 7x^(2/3).

For the second term, 2 * ³√x², we can multiply the coefficients: 2 * ³√x² = 2 * x^(2/3) = 2x^(2/3).

Now we can subtract the two simplified terms: 7x^(2/3) - 2x^(2/3). Since the bases (x^(2/3)) are the same, we can subtract the coefficients: 7 - 2 = 5.

Finally, we multiply the coefficient 5 by the common base x^(2/3): 5 * x^(2/3) = 5x^(2/3).

Therefore, the simplified form of the expression 7 ³√x² - 2 ³√x² is 5 ³√x².

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The percent of attendance figures that differs from the mean by 1500 persons or more is 6.68%.

From the question above, Mean μ = 10,000

Standard Deviation σ = 1,000

The formula for z-score is :

z = (x-μ) / σ

Where, x = observation

z = z-score

Mean μ = 10,000

Standard Deviation σ = 1,000

From the above formula, let's calculate z-score for x = 11,500

z = (x-μ) / σ

z = (11,500 - 10,000) / 1000

z = 1.5

Now, find the probability of attendance figures that differs from the mean by 1500 persons or more.

P(z ≥ 1.5) = 0.0668

To find the percentage, we need to multiply the above value by 100.

P(z ≥ 1.5) × 100 = 0.0668 × 100 = 6.68%

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Answer:

\(\frac{3}{8}\)

Step-by-step explanation:

\(\frac{7}{8}\) - (\(\frac{1}{6}\) + \(\frac{2}{6}\))      \(\frac{1}{3}\) x \(\frac{2}{2}\)= \(\frac{2}{6}\)  (1/3  is equivalent to 2/6)  we want a common denominator so that we can add the 2 fractions

\(\frac{7}{8}\) - \(\frac{3}{6}\)      \(\frac{3}{6}\)÷\(\frac{3}{3}\) = \(\frac{1}{2}\) (3/6 is equivalent to 1/2)  These are easier numbers to work with.

\(\frac{7}{8}\) -\(\frac{1}{2}\)  We need a common denominator.  The easiest one to use would be 8

\(\frac{1}{2}\) x \(\frac{4}{4}\) = \(\frac{4}{8}\)          (1/2 is equivalent to 4/8)

\(\frac{7}{8}\) - \(\frac{4}{8}\) = \(\frac{3}{8}\)

Answer:

The answer is point C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Edge2021

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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The slope of the line of best fit represents the change in the average weight of the catfish for every one-unit change in the length of the catfish. It gives an indication of the strength and direction of the relationship between the length and weight of the catfish.

A positive slope indicates that as the length of the catfish increases, its weight tends to increase as well, while a negative slope indicates the opposite. The magnitude of the slope indicates how steeply the weight changes with respect to the length. A larger slope indicates a stronger relationship, while a smaller slope indicates a weaker relationship.

Thus, the slope of the line of best fit can provide valuable insights into the relationship between the length and weight of the catfish and can be used to make predictions about the weight of the catfish for a given length.

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Answer:

2963*100,000 that's the answer for that question

The interval of time for which the height of the ball greater than or equal to 52 feet is  [1 , 3] .

In the question ,

it is given that ,

The equation that model the path of ball after Carl hit it is -16t² + 64t + 4 .

we have to find the interval of time ,

where the height of the ball is greater than or equal to 52 feet,

that is represented as

-16t² + 64t + 4 ≥ 52

-16t² + 64t + 4 - 52 ≥ 0

-16t² + 64t - 48 ≥ 0

multiplying both sides of the inequality by 9-1) , we get

16t² - 64t + 48 ≤ 0

Dividing both sides of the inequality by 16 , we get

t² - 4t + 3 ≤ 0

t² - 3t - t + 3 ≤ 0

t(t - 3) -1(t - 3) ≤ 0

(t - 1)(t - 3) ≤ 0

which means

1 ≤ t ≤ 3 , and is represented as  [1 , 3] .

Therefore , The interval of time for which the height of the ball greater than or equal to 52 feet is  [1 , 3] .

The given question is incomplete , the complete question is

During baseball practice, Carl hit a ball into outfield. The equation -16t² + 64t + 4 , can be used to model the path of the ball once Carl hit it. For which interval of time, in seconds, is the height of the ball greater than or equal to 52 feet ?

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Answer:

How would you represent the expression "any position"?

Step-by-step explanation:

The probability that a randomly selected square foot of merino wool will contain more than one defect is approximately 0.5034.

The average number of defects in a square foot of merino wool is given as 0.7. Since the number of defects follows a Poisson distribution, we can use the Poisson probability formula to calculate the probability of having more than one defect.

The Poisson probability formula is given as:

P(x; λ) = (e^(-λ) * λ^x) / x!

Where x is the number of defects, and λ is the average number of defects in the given unit (in this case, square foot).

To find the probability of having more than one defect, we can sum the probabilities for x = 2, 3, 4, and so on, up to infinity. However, since the Poisson distribution is infinite, we can approximate the probability by subtracting the probability of having at most one defect from 1.

Let's calculate it step by step:

P(0 or 1 defect) = P(0 defects) + P(1 defect)

= (e^(-0.7) * 0.7^0) / 0! + (e^(-0.7) * 0.7^1) / 1!

= e^(-0.7) + 0.7 * e^(-0.7)

≈ 0.4966

P(more than one defect) = 1 - P(0 or 1 defect)

≈ 1 - 0.4966

≈ 0.5034

Therefore, the probability that a randomly selected square foot of merino wool will contain more than one defect is approximately 0.5034.

The probability that a randomly selected square foot of merino wool will contain more than one defect is approximately 0.5034.

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Answer: 88 1/2

Step-by-step explanation:

easy

Answer:

89

Step-by-step explanation:

Based on the differential equation a) Solving the DE subject to P(0) = P0 will yield P = ((kP0 - h)e^(kt) + h)/k. b) For the three cases given (P0 > h/k, P0 = h/k, P0 = 0), the behavior of the population P(t) is will be population will grow without bound, the population will remain constant, and the population will decrease and approach zero as t approaches infinity respectively. c) The fish population will go extinct in finite time if there exists a time T > 0 such that P(T) = 0. At T = (1/k)ln(-h/(kP0 - h)) the fish population will go extinct.

(a) To solve the differential equation (dP/dt) = kP - h subject to P(0) = P0, we need to separate the variables and integrate both sides:

(dP/dt) = kP - h

dP/(kP - h) = dt

∫dP/(kP - h) = ∫dt

ln|kP - h| = kt + C

kP - h = e^(kt + C)

P = (e^(kt + C) + h)/k

Using the initial condition P(0) = P0, we can solve for C:

P0 = (e^(k*0 + C) + h)/k

P0 = (e^C + h)/k

e^C = kP0 - h

C = ln(kP0 - h)

Substituting back into the equation for P, we get:

P = (e^(kt + ln(kP0 - h)) + h)/k

P = ((kP0 - h)e^(kt) + h)/k

This is the solution to the differential equation subject to the initial condition P(0) = P0.

(b) The behavior of the population P(t) for increasing time depends on the initial condition P0:

- If P0 > h/k, then the term (kP0 - h)e^(kt) will be positive and will increase exponentially as t increases, so the population will grow without bound.

- If P0 = h/k, then the term (kP0 - h)e^(kt) will be zero and the population will remain constant at P = h/k for all time.

- If P0 < h/k, then the term (kP0 - h)e^(kt) will be negative and will decrease exponentially as t increases, so the population will decrease and approach zero as t approaches infinity.

(c) The fish population will go extinct in finite time if there exists a time T > 0 such that P(T) = 0. From the equation for P, we can see that this will happen if and only if P0 < h/k:

P(T) = ((kP0 - h)e^(kT) + h)/k = 0

(kP0 - h)e^(kT) = -h

e^(kT) = -h/(kP0 - h)

Since the exponential function is always positive, this equation has no solution for P0 > h/k or P0 = h/k. However, if P0 < h/k, then the term (kP0 - h) is negative and the equation has a solution:

kT = ln(-h/(kP0 - h))

T = (1/k)ln(-h/(kP0 - h))

This is the time at which the fish population will go extinct.

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Answer:

multiplication...

Step-by-step explanation:

50 x 12 = 600

SO...

j = 600

SOO...

600 / 12 = 50

there u go

can i be brainiest...

Answer:

B: 1/3 × 15

Step-by-step explanation:

1/3 = 33%

Round 14 up to 15.

This will get you the closest answer

Step 1 of 3: State the null and alternative hypotheses for the test:

H0: σ^2 = 0.0009 (The variance of the yarn diameters is equal to 0.0009mm)

Ha: σ^2 > 0.0009 (The variance of the yarn diameters is greater than 0.0009mm)

Step 2 of 3: Compute the value of the test statistic:

To test the hypothesis, we can use the chi-square distribution. The test statistic is calculated as:

χ^2 = (n - 1) * s^2 / σ^2

where n is the sample size (100), s^2 is the sample variance (0.001258), and σ^2 is the hypothesized variance (0.0009).

Plugging in the values, we have:

χ^2 = (100 - 1) * 0.001258 / 0.0009

Step 3 of 3: Draw a conclusion and interpret the decision:

Using a significance level of 0.05, we compare the computed χ^2 value to the critical value from the chi-square distribution with (n - 1) degrees of freedom. If the computed χ^2 value is greater than the critical value, we reject the null hypothesis.

Based on the computed χ^2 value, you can compare it to the critical value and determine whether to reject or fail to reject the null hypothesis. If the computed χ^2 value is greater than the critical value, it provides evidence to support the alternative hypothesis, indicating that the batch of yarn is unusable by the manufacturer.

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Answer:

\(\bold{\boxed{Check explaination for better understanding!}}\)

z=65,y=65,x=50

Step-by-step explanation:

Firstly,  let's identify the only angle provided. The angle is an exterior angle.

The exterior angle theorm states that greater than either of the measures of the remote interior angles.

Let's remember that and start solving!

The exterior angle and x form a supplimentary line which means they create 180 degrees.

130+x=180

x=50

Now by the theorm the sum of z+y should be equal to the exterior angle which is 130.

Simply, z+y=130.

So z  is equal to 65, and y is equal to 65.

Let's check our answers now.

z=65,y=65,x=50

z+x+y=180

65+50+65=180! That works :)

Hope it helps! :))

Answer:

3/21, 14.29%, or 14.29

Step-by-step explanation:

John has 21 total marbles, which includes 3 blue ones.

(That's 3 over 21)

Hope this helps!

Answer:   Q= -0.6 or -2/3

Step-by-step explanation:

Answer:

700

Step-by-step explanation:

The ratio of cats to dogs was 3:7

Divide 300 by 3

=100

multiply 100 and 7

=700

Step-by-step explanation:

let common ratio be x

3x + 7x = 300

10 x = 300

x = 300/10= 30

there common ratio x is 30

3 x 30 =90 cats

7 x 30 = 210 dogs