The triangles below are similar.

Triangle S R P. Angle S is 54 degrees, R is 41 degrees, P is 85 degrees. Triangle X Y Z. Angle X is 54 degrees, Z is 41 degrees, and Y is 85 degrees.

Which similarity statements describe the relationship between the two triangles? Check all that apply.
Triangle P R S is similar to triangle X Y Z
Triangle R S P is similar to triangle Z X Y
Triangle S R P is similar to triangle X Z Y
Triangle P S R is similar to Triangle Z Y X
Triangle R P S is similar to triangle Z Y X
Triangle S P R is similar to triangle X Z Y

Ms. Redmon gave her theater students an assignment to memorize a dramatic monologue to present to the rest of the class. The graph shows the times, rounded to the nearest half minute, of the first 10 monologues presented.

The assignment requires the students to memorize a dramatic monologue to present to the rest of the class. Based on the graph, the content loaded for the first ten presentations can be determined. The graph contains the timings of the first 10 monologues presented. From the graph, the lowest time recorded was 2 minutes while the highest was 3 minutes and 30 seconds.

The graph showed that the first student took the longest time while the sixth student took the shortest time to present. Ms. Redmon asked the students to memorize a dramatic monologue, with a requirement of 130 words. It is, therefore, possible for the students to finish the presentation within the allotted time by managing the word count in their dramatic monologue.

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The expression 61+x when x = 18 evaluates to 79.

Expression is a combination of numbers, symbols and operators that represent a mathematical quantity or operation.

To find the value of the expression, we must first substitute 18 in for x.  To evaluate this expression, we must add 61 and 18. 61+18 = 79. Therefore, the expression 61+x when x = 18 evaluates to 79.

To verify the answer, we can use the distributive property of multiplication to expand the expression. 61+x is equivalent to 61+18, which can be written as

61+18 = 61+1*18.

We can now distribute the 1 to the 18,

so 61+1*18 = 61+18 = 79.

Therefore, the expression 61+x when x = 18 evaluates to 79.

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Question: Evaluate-61+x

Enter your answer in the box.

Find the value of equation, when x = 18.

Answer:

To solve the problem:

Location: Swimmers' School

Swimming Lessons: 4 classes for $56

The unit rate for classes at Swimmers' School is:

Unit rate = Total price / Number of classes

Unit rate = $56 / 4 classes

Unit rate = $14 per class

The lower unit rate is: $14 per class

The classes at Divers' Depot:

Price: 10 classes for $120

The unit rate for classes at Divers' Depot is:

Unit rate = Total price / Number of classes

Unit rate = $120 / 10 classes

Unit rate = $12 per class

Based on the unit rates, the classes at Divers' Depot ($12 per class) are the better deal compared to Swimmers' School ($14 per class). Therefore, the answer is:

Location: Divers' Depot

Step-by-step explanation:

To find the better deal, we need to find the cost per class for each option. For Swimmers' School, the cost per class is $56 / 4 = $14. For Divers' Depot, the cost per class is $120 / 10 = $12. Therefore, the better deal is Divers' Depot, because the cost per class is lower.

(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

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Answer:

t= 20+40c

Step-by-step explanation:

Given that Ray's total cost is always $30 less than Earl's and they charge the same amount per carpet cleaned, the difference is in the amount charged for a house call and to find that amount you have to subtract 30 from the amount Earl's charges:

50-30=20

This means that Ray charges $20 for a house call and $40 per carpet cleaned. According to this, the equation would indicate that the total cost for Ray is equal to the amount he charges for a house call plus the price per carpet cleaned for the number of carpets cleaned, which would be:

t= 20+40c, where:

t is the total cost

c is the number of carpets cleaned

Answer:

g(x)=f(x−h) g ( x ) = f ( x - h ) - The graph is shifted to the right h units. In this case, h=0 which means that the graph is not shifted to the left or right. The vertical shift depends on the value of k . ... g(x)=f(x)−k g ( x ) = f ( x ) - k - The graph is shifted down k units.

Step-by-step explanation:

Answer:

The answer is 5%

Step-by-step explanation:

Hope this helps!!

Answer: 1 decameter

Step-by-step explanation:

Answer:

1 decameter

Step-by-step explanation:

1 decameter is 10 meters or 1000 centimeters

★» -30, 10

★» Yes, I use ★» at the beginning of each sentence, it's my style.

Answer:Its c

Step-by-step explanation:

Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

The second hand of a clock rotates once around the clock face in 60 seconds or one minute. Therefore, in 4 minutes, the second hand will rotate 4 times around the clock face.

The length of the second hand of a clock is 8 cm. The distance traveled by the top of the second hand in one full rotation is equal to the circumference of a circle with radius 8 cm, which is 2πr = 2π(8) = 16π cm.

The distance traveled by the top of the second hand in 4 rotations (or 4 minutes) is:

4 rotations * 16π cm/rotation = 64π cm

So the distance traveled by the top of the second hand of a clock in 4 minutes if the hand is 8 cm long is approximately 64π cm or about 201.06 cm (when rounded to two decimal places).

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Thus, the expected number of times we roll the die is 2.213, and the variance is 1.627.

In this case, the probability of rolling a 6 is 1/6, and the probability of not rolling a 6 is 5/6. Since we stop rolling after 10 tries, we need to consider the expected value and variance for a truncated geometric distribution.

The expected number of times we roll the die is given by:

E(X) = Σ [x * P(X=x)], where x ranges from 1 to 10.

For x = 1 to 9, P(X=x) = (5/6)^(x-1) * (1/6).
For x = 10, P(X=10) = (5/6)^9, as we stop rolling after the 10th attempt.

Calculate E(X) using the given formula, and you'll find that the expected number of times we roll the die is approximately 2.213.

For variance, we use the following formula:

Var(X) = E(X^2) - E(X)^2

To find E(X^2), compute Σ [x^2 * P(X=x)] for x from 1 to 10 using the same probabilities as before.

Calculate Var(X) using the given formula, and you'll find that the variance is approximately 1.627.

So, the expected number of times we roll the die is 2.213, and the variance is 1.627.

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Answer:

The correct option is;

x³ + 4·x² + 3·x  < x³ + 13·x² + 54·x + 72.

Step-by-step explanation:

The given parameters are;

The basic plan of the decorator = x wall-color options, x + 1 ceiling-colr options, and x + 3 floor options

The gold plan of the decorator = All of the basic plan options plus 3 additional options in each category

Therefore, the gold plan of the decorator = (x + 3) wall-color options, (x + 1 + 3) ceiling-color options, and (x + 3 + 3) floor options

The total number unique layouts offered by the basic plan = x × (x + 1) × (x + 3) = x³ + 4·x² + 3·x

Also, the total number unique layouts offered by the gold plan = (x + 3) × (x + 1 + 3) × (x + 3 + 3) = (x + 3) × (x + 4) × (x + 6)  = x³ + 13·x² + 54·x + 72

Which gives;

The comparison between the total number of unique layouts offered by the basic and gold plans  as x³ + 4·x² + 3·x  < x³ + 13·x² + 54·x + 72.

Answer: -19

Step-by-step explanation:

-15-4=-19 olur. İyi dersler!

There are 30 of 1/10's in the number 3

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

How many 1/10's are in 3?​

The above statement is a quotient expression that has the following features

Dividend = 3

Divisor = 1/10

So, we have

Quotient = Dividend /Divisor

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

Quotient = 3/(1/10)

Evaluate

Quotient = 30

Hence, there are 30 1/10's

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The dependent variable in this experiment is the level of anxiety as measured by a standardized measure of anxiety before and after the interventions or waitlist period.

The dependent variable in this experiment is the standardized measure of anxiety that was administered to participants before and after the interventions or waitlist period.

The dependent variable is what is being measured or observed to determine the effectiveness of the two interventions (cognitive-behavioral therapy and mindfulness-based stress reduction program) for anxiety.

Therefore,  The researchers are trying to find out how the interventions affect anxiety, so anxiety levels are the outcome or result of the intervention and therefore the dependent variable.

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1) The point does not lie on the circle.

2) The point lies on the circle.

a) If the point (-3 , 7) lie on the circle with a center at (-5, 6) and a radius of 9, then the distance between the two points must be exactly 9 units.

The distance between these points is:

D = √( (-3 + 5)² + (7 - 6)²)

D = √(4 + 1) = √5

The point does not lie on the circle.

2) To check this, evaluate the equation in the point and see if it is true:

(4 - 4)² + (5 + 2)² = 49

0 + 49 = 49

49 = 49

This is true, so the point lies on the circle.

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Answer:10 gallons are needed to paint 15,000 square feet of wall.

Step-by-step explanation:

3,000/2=1,500

15,000/1,500=10 gallons

Answer:

5

Step-by-step explanation:

A^2 +B^2 =C^2

12^2 + b^2 =13^2

144+ b^2 =169

\(x^{2}\)= 25

x=5

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

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Answer:

2.08 this is answer

In quantitative research, data collection from the same respondents at 2 or more points (waves) in time is referring to "longitudinal."

A method for gathering and interpreting numerical data is known as quantitative research. It can be used to discover patterns and averages, to make predictions, to verify causal linkages, and to generalize results to larger groups.

Some features regarding quantitative research are-

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a) When Lily's age is 20, and Raphael's age is divided by 3 then the expression of Lily's age in terms of h is h < 10.

b) Ethan's age is half of Raphael's age therefore, Ethan's age is half Raphael's age.

a) If Raphael is twice as old as his sister Lily, we can represent their ages as 2h and h, respectively, where h is Lily's age. The sum of their ages is less than 30, so we can write the equation:

2h + h < 30

Combining like terms, we get:

3h < 30

Dividing both sides by 3, we get:

h < 10

This is an expression of Lily's age in terms of h.

b) If Ethan's age is 16, and Raphael's age is twice Ethan's age, we can represent Raphael's age as 2 × 16 = 32.

Ethan's age is 16, which is half of Raphael's age of 32. Therefore, Ethan's age is half of Raphael's age.

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The question is -

Raphael is twice as old as his sister. The sum of their ages is less than 30.

a) Lily's age is 20, and Raphael's age is divided by 3. Write an expression in terms of h for Lily's age.

b) An expression for Ethan's age 16. Write a sentence to describe how Ethan's age compares with Raphael's age.

Answer:

285

Step-by-step explanation:

450-165=285

Hope this helps and is right.

Answer:

7

Step-by-step explanation:

1 x  3=

2x3=6

4x3=12

7x3=21

Answer:

7

Step-by-step explanation:

im not that smart either but i think tis the 3s

1 x3 = 3

2 x3 = 6

4 x3 =12

7 x3 = 21

if tht makes any sense

The values in b are compared with the true volume. And we conclude that b is precise and accurate.

Accuracy determines how closely measured values match the actual value. The degree to which two measured values are inside a certain range, or how closely they agree, is called precision.

First calculate the mean of a, b, and c. We get, the mean of a is 87.63, the mean of b is 87.06, and the mean of c is 87.77.

From the values in "a", we can tell there is no good agreement between the given values, and just one (87.1) value is near to the true value. So a is neither precise nor accurate.

From the values in "b", we can tell these given values are reasonably close to the true value and exhibit good agreement. So b is precise and accurate.

From the values in "c", we can tell there is a considerable agreement between the given values but they are not very close to the true value. So c is precise but not accurate.

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