a cruise ship has a large , circular window. It has a diameter of 6 meters. What is the windows area?

The rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

From the question, we have the following parameters that can be used in our computation:

John drove from here to San Antonio which is 180 miles away in 3 hours.

This means that

Distance = 180 miles

Time = 3 hours

Using the above as a guide, we have the following:

Speed = Distance/Time

Substitute the known values in the above equation, so, we have the following representation

Speed = 180/3

Evaluate

Speed = 60

Hence. the rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

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\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \: (3 {a}^{2} - 7xy)(3 {a}^{2} + 7xy) = 9 {a}^{ 4 } - 49 {x}^{2} {y}^{2} \)

____________________________________

\( \large \tt Solution \: : \)

\(\qquad \tt \rightarrow \: (3 {a}^{2} - 7xy)(3 {a}^{2} + 7xy)\)

\(\qquad \tt \rightarrow \:(3 {a}^{2} \sdot3 {a}^{2} ) + (3a {}^{2} \sdot7xy) - (7xy \sdot3 {a}^{2} ) - (7xy \sdot7xy)\)

\(\qquad \tt \rightarrow \:9 {a}^{4} + 21a {}^{2} xy- 21 {a}^{2} xy - 49 {x}^{2} {y}^{2} \)

\(\qquad \tt \rightarrow \: 9 {a}^{ 4 } - 49 {x}^{2} {y}^{2} \)

or

Apply property :

\(\qquad \tt \rightarrow \: (p + q)(p - q) = {p}^{2} - {q}^{2} \)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

option d is correct

Step-by-step explanation:

hope this helped

Answer:

D

Step-by-step explanation:

Edge 2019

On solving the provided question we can say that - correlation coefficient of the question is r = \(\frac{S_{xy} }{\sqrt{S_{xx} S_{yy} } }\) =  -0.91

The Pearson's correlation coefficient, also known as the Pearson's r, Pearson's product-moment correlation coefficient, bivariate correlation, or simply correlation coefficient, is a statistical indicator of the linear relationship between two sets of data.

\(S_{xx} =\)∑\(x^2\) - (∑x\()^2\) /n = 19300- ((420)^2 /10)= 1660

\(S_{yy} =\) ∑\(y^2\) (∑y\()^2\)/n = 7454- ((270)^2 /10) = 164

\(S_{xy} =\)∑\((xy)^2\)/n -475

The correlation coefficient is:

r = \(\frac{S_{xy} }{\sqrt{S_{xx} S_{yy} } }\) =  -0.91

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Answer:

8

Step-by-step explanation:

46 = 10b - 34

Move 34 to the other side by adding 34 to each side

80 = 10b

Divide 10 on each side to get b on one side

8 = b

Answer:

Hello! answer: x = 15

Step-by-step explanation:

Here is a visual i created of what the complementary angle would look like!

Answer:

Each point appears to give the same number of tickets.

Predicted number of tickets for getting 10 points: 90 tickets

Step-by-step explanation:

27/3=9

63/7 =9

81/9=9

It gives 9 tickets per point.

Answer:

A

Step-by-step explanation:

The first one

Answer:

120% of 54 =

120% × 54 =

120/100 × 54 =

(120 ÷ 100) × 54 =

120 × 54 ÷ 100 =

6,480 ÷ 100 =

64.8

Percentage of 120% of 54

120% of 54 = 64.8

and to prove that we got the right answer do what we did above in reverse below

64.8 ÷ 54 =

1.2 =

1.2 × 100/100 =

(1.2 × 100)/100 =

120/100 =

120%

Step-by-step explanation:

Answer: 4

This problem requires basic division. If the restaurant divided 4/5 kg of butter with 1/5 kg on each dish, you would need to compute 4/5 divided by 1/5.

4/5 ÷ 1/5

Using the "KFC" method, or Keep, Change, Flip, you would keep the first number (in this case, 4/5), change the division sign, and flip the fraction to 5/1, or 5. We now have this:

4/5 x 5

To compute this equation, you must multiply the numerators of both of the numbers together. In this case, you would compute (4x5)/5, resulting with 20/5, or 4.

You can check this answer by re-multiplying the numbers together. 1/5 kg of butter per dish, multiplied by the total amount of dishes, 4, you would result in the original 4/5 kg of butter.

Hope this helps!

To calculate the merit increase based on your annual review score, we can use the given information that merit increases start at 0.5% for a score of 2.6 and increase by 1% every 0.4 points.

First, we need to determine the difference between your score and the starting score of 2.6:

3.4 - 2.6 = 0.8

Next, we divide this difference by 0.4 to determine the number of 0.4-point intervals:

0.8 / 0.4 = 2

Since each 0.4-point interval corresponds to a 1% increase, we multiply the number of intervals by 1% to find the total increase:

2 * 1% = 2%

Therefore, you will be receiving a merit increase of 2%.

Answer:

  (a)  as x → -∞, f(x) → ∞ and as x → ∞, f(x) → ∞

Step-by-step explanation:

You want to know the end behavior of the 4th-degree function shown in the graph.

The graph has an arrow on each end of the curve shown in the figure. The left arrow points upward, indicating a tendency to +∞ as x gets more negative.

The right arrow also points upward, indicating a tendency to +∞ as x gets more positive.

  As x → -∞, f(x) → ∞ and as x → ∞, f(x) → ∞.

Answer: the last one

Step-by-step explanation:

The equation that represents the distance, in kilometers, Seb travels (d) based on how many hours he bikes (t) at this rate is d = 20t

The given parameter is

constant rate of 20 kilometers per hour.

This means that

Rate = 20km per hour

When Seb bikes for t hours, the distance is

d = rate * t

This gives

d = 20t

Hence, the equation that represents the distance, in kilometers, Seb travels (d) based on how many hours he bikes (t) at this rate is d = 20t

This means that

t = 5

So, we have:

d = 20 * 5

Evaluate

d = 100

Hence, Seb will travel 100 kilometers if he bikes at this rate for 5 hours

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Answer:

1. d=20t

2. 50

Answer:

Area = 40

Perimeter = 26

Step-by-step explanation:

length = 8

width = 5

Area = 8 x 5 = 40

Perimeter = 2(8 + 5) = 26

Answer:

101.5 in^2

Step-by-step explanation:

area of top trapezoid is

1/2*a*(a + 2a) = 37.5

area of rectangle is

4b * b = 64

The probability of P(X = 48) and P(Y =2) is 0.1056 and 0.2642 respectively.

Suppose 10 percent of households earn over 80,000 dollars a year,and 0.25 percent of households earn over 450,000.

a random sample of 400 house-holds has been chosen

N = 400

P = 25%

n*p = 400*0.25 = 100

n(1-p) = 400 * 0.75 = 300

100 and 300 are greater than 5 so we use the normal distribution here to estimate further.

mean = n*p = 100

sd = √(np(1 - p))

sd = √(100(1 - 0.25))

sd = √(100 x 0.75)

sd = √75

sd = 8.66

p(X≥48)

= p(X≥47.5)

P(z <  (47.5 - 40)/6)

P(z < 1.25)

= 0.8944

1 - 0.8944

= 0.1056

FOR Y

N = 400 p = 0.25% = 0.0025

400 * 0.0025 = 1

1 is less than 5 so we use poisson distribution.

using the excel function,

1 - BINOMDIST(1, 400, 0.0025, TRUE)

= 1 - 0.735759074

= 0.2642

Therefore, the probability of P(X = 48) is  0.1056 and P(Y =2) is 0.2642

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Answer:

Step-by-step explanation:

Answer:

2635 or D

Step-by-step explanation:

3400 x 2/5 = 1360

1360 x 3/8 = 510

510 freshman are opposed

3400-1360 = 2040

2040 x 1/8 = 255

255 sophomores, juniors, and seniors are opposed

255+510 = 765 are opposed

3400 - 765 = 2635

2635 students are in favor

The number of students that are in favour of the school forming a track team is 2635.

The first step is to determine the number of freshmen in the school: 2/5 x 3400 = 1360

Now, determine the number of freshmen that are in favor of the idea: (1 - 3/8) x 1360

5/8 x 1360 = 850

The second step is to determine the number of the remaining students: (1 - 2/5) x 3400 = 2040

Now determine the number of remaining students that are in favor of the idea: (1 - 1/8) x 2040 = 1785

Add the results gotten in the previous steps together: 1785 + 850 = 2635

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Answer:

\(-3x^{2}\) -5x +2

Step-by-step explanation:

Just combine like terms and solve.

-2x^2+-6x - (x+1)(x-2)

Use foil on the second part

-2x^2-6x - x^2-x-2

Now combine like terms and you’d get your final answer

Answer:

There are no options but what they are trying to say is which is more a need then a want. so a need is something like i broke my foot i "NEED" a docter fast. Want is like I just ate dinner and I "WANT" dessert. You can survive without that dessert.

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The total number of people want in all is 531.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of buses = 9

Number of buses that has 63 people = 5

Number of buses that has 54 people = 4

The total number of people in all the buses.

= 5 x 63 + 4 x 54

= 315 + 216

= 531

Thus,

The total number of people want in all is 531.

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The triangle similarity can be proven by three methods, and the AA similarity postulate states that two triangles are similar if and only if their corresponding angles are congruent.

If they have the same shape but different sizes. This is what is known as similarity. In mathematics, there are three ways to prove that two triangles are similar: AA, SAS, and SSS.

In the case of AA similarity postulate, two triangles are similar if and only if two corresponding angles are congruent, meaning they have the same degree measure.

Similarly, if triangle ABC is similar to triangle JKL by AA similarity postulate, it means that the corresponding angles of both triangles are congruent.

Therefore, it is possible that triangle ABC is similar to one or more of the triangles given, but it is not possible to say without further information such as the angles and lengths of the sides.

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Complete Question:

Define triangle is ​△ABC​ similar to Similarity property and why?

Which triangle is ​△abc​ similar to and why? responses △abc is similar to △ghi by ​aa similarity postulate. triangle a b c, is similar to , triangle g h i, by , ​, a a similarity postulate, ., △abc is similar to △jkl by ​aa similarity postulate​. triangle a b c, is similar to , triangle j k l, by , ​, a a similarity postulate, ​, . △abc is similar to △def by ​aa similarity postulate​. triangle a b c, is similar to , triangle d e f, by , ​, a a similarity postulate, ​, . ​△abc​ is not similar to any of the triangles given.

Answer:

Step-by-step explanation:

24^2 + b^2 = 40^2

576 + b^2 = 1600

b^2 = 1024

b = 32

32

Step-by-step explanation:

\( {a}^{2} + {b}^{2} = {c}^{2} \)

a= 24 , b= b , c=40

In order to find b, you have to change the equation a bit. Your new equation will look like \( {c}^{2} - {a}^{2} = {b}^{2} \)

here is the step by step now

\( {40}^{2} - {24}^{2} = {b}^{2} \)

\( {1600} - {576} = {b}^{2} \)

\( {1024} = {b}^{2} \)

**now you need to take the square root of both sides and you get 32**

The probability that it weighs more than 51 pounds exactly 53 pounds.

Given that, mean weight of 50 pounds and a standard deviation of 0.5 pounds.

We need to find the probability that it weighs more than 51 pounds,

P(X = 53) = 0

z = (51 - 50) / 0.5 = 2.00

P(X > 51) = P(z > 2.00) = 0.0228

z1 = (49 - 50) / 0.5 = -2.00

z2 = (51 - 50) / 0.5 = 2.00

P(49 < X < 51) = P(-2.00 < z < 2.00) = P(z < 2.00) - P(z < -2.00) = 0.9772 - 0.0228 = 0.9544

Hence, the probability that it weighs more than 51 pounds exactly 53 pounds.

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Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

Its B.

Step-by-step explanation:

Because \(11^{2}\) + \(12^{2}\) does not equal \(15^{2}\)

121 + 144 \(\neq\) 225

265 \(\neq\) 225

If Santiago has been approved for a mortgage up to $195,000 and the conventional loan requires a 20% down payment, then his down payment will be:

Down payment = 20% * $195,000

Down payment = $39,000

Therefore, if Santiago buys a house for the maximum amount he has been approved for, he will need to make a down payment of $39,000.

To calculate how much house Santiago can afford, we need to subtract the down payment from the total amount he has been approved for:

Maximum home price = Total mortgage amount - Down payment

Maximum home price = $195,000 - $39,000

Maximum home price = $156,000

Therefore, Santiago can afford a home up to a maximum price of $156,000.

To summarize:

Santiago's down payment will be $39,000.

Santiago can spend up to $156,000 on a house.

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