Actividades de Apertura
a) Dos ángulos rectos.
b) Dos ángulos agudos.
c) Dos ángulos suplementarios.
d) Dos ángulos complementarios
e) Dos rectas paralelas.
f) Dos rectas perpendiculares
g) Una recta transversal.

Answer:

Step-by-step explanation:

The volume of the three tennis balls combined is approximately 4.88 cubic inches. The volume of the packaging cylinder is approximately 50.33 cubic inches. Thus, the volume of the three tennis balls is about 9.7% of the volume of their packaging cylinder.

To calculate this, we can use the formula for the volume of a sphere (V = 4/3 x π x r3) and the formula for the volume of a cylinder (V = π x r2 x h).

The radius of each tennis ball is half the diameter, or 1.35 inches. So, the volume of each tennis ball is 4/3 x π x (1.35)3 = 4.88 cubic inches.

The radius of the cylinder is the same as the diameter of each tennis ball, or 2.7 inches. The height of the cylinder is 8.1 inches. So, the volume of the cylinder is π x (2.7)2 x 8.1 = 50.33 cubic inches.

The volume of the three tennis balls is 4.88 x 3 = 14.64 cubic inches. The volume of the packaging cylinder is 50.33 cubic inches. Thus, the volume of the three tennis balls is 14.64 ÷ 50.33 = 0.097 = 9.7% of the volume of their packaging cylinder.

The amount of Suzy's instalment every month if it is agreed to repay equal amount monthly is $152

Simple interest = principal × rate × time

= 4500 × 0.072 × 3

= $972

Total amount to repay = $4500 + $972

= $5472

Repayment time = 3 years

Suzy will repay every month

3 years= 12 months × 3

= 36 months

Since,

the repayment is equal every month

Amount of instalment every month= $5472 / 36

= $152

Therefore, Suzy will repay $152 each month instalmentally.

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Answer:

8a3

Step-by-step explanation:

volume of cube = Lcube

one side=length of cube

so

volume of cube= L3

=2a3

= 2A × 2A × 2A

The mean would be 35 feet.

The mean tells us that the typical throw of the ball results in a distance of approximately 3.5 feet.

what is Mean?

In arithmetic, mean is the sum of all the added values of all the data in a set divided by the number of data in the set.

To find the mean of the distances, we need to calculate the sum of all the distances and divide by the total number of distances:

(20+25+25+31+33+34+41+41+45+50+56+67) / 12 = 425 / 12 = 35.42

Rounding to one decimal place, we get the mean distance of approximately 3.5 feet.

However, it's worth noting that the stem-and-leaf plot shows some variability in the distances, with some throws going as far as 6.7 feet and some as short as 2 feet.

So while the mean can provide us with a measure of central tendency, it doesn't tell the whole story about the distribution of the distances.

Therefore, The mean would be 35 feet. The mean tells us that the typical throw of the ball results in a distance of approximately 3.5 feet.

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With the root values 6 and 8 the quadratic equation is x² - 6x +8 = 0.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of second degree.

The roots of the quadratic equation are -

HCF of smallest prime number, LCM of smallest composite number

The smallest prime number is 2.

So, the HCF of 2 is 2.

The smallest composite number is 4.

So, the LCM of 4 is 4.

If m and n are the roots of a quadratic equation ax² + bx + c = 0, then the sum of the roots is (m+n) and the product of the roots is (mn).

And then the quadratic equation becomes x² - (m+n)x +mn = 0.

So, here m = 2 and n = 4.

The sum of roots is -

(m + n) = (2 + 4) = 6

The product of roots is -

(mn) = (2 × 4) = 8

So, the quadratic equation is x² - 6x +8 = 0.

Therefore, the equation is x² - 6x +8 = 0.

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The first figure represents Antiparallel β sheet. Second figure is parallel β sheet. Third figure represents neither of the two types. The fourth figure is also parallel β sheet and the fifth figure represents both types.

Antiparallel and parallel β-sheets are two different arrangements of the β-strands in a protein structure.

In an antiparallel β-sheet, the direction of the peptide bonds in the individual β-strands is opposed to each other, meaning that the N-terminal end of one strand points in the opposite direction from the N-terminal end of the neighboring strand. The hydrogen bonds between the strands run perpendicular to the direction of the peptide bonds and hold the strands together.

In a parallel β-sheet, the direction of the peptide bonds in the individual β-strands is the same, meaning that the N-terminal end of one strand points in the same direction as the N-terminal end of the neighboring strand. The hydrogen bonds between the strands run parallel to the direction of the peptide bonds and hold the strands together.

Both antiparallel and parallel β-sheets play important roles in the structure and function of proteins, and are found in many different types of proteins, including enzymes, transport proteins, and structural proteins.

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Complete question:

classify each peptide chain as part of a parallel β sheet, part of an antiparallel β sheet, either type of β sheet, or not part of a β sheet. options in document attached below.

Answer:

Reflection Paper on "Freedom Riders"

Ankit Mishra

title movie

freedom riders

instructions create a reflection paper that summarize the documentary and how brougth about social changes and lead to the Civil rigths act of 1964

please help me

2,3 pages

Please read the instructions please I need your help watch the movie and the instructions

Reflection Paper on "Freedom Riders" Documentary

The "Freedom Riders" is a powerful documentary that recounts the story of a group of civil rights activists who rode buses across the American South in 1961 to challenge the segregated public transportation system. The film provides a vivid and moving account of their journey and the challenges they faced along the way, from beatings and arrests to bombings and arson attacks. Through interviews with surviving freedom riders and archival footage, the film sheds light on the bravery and determination of these activists and the impact they had on the civil rights movement.

The freedom riders were inspired by the nonviolent protest movement led by Dr. Martin Luther King Jr. and other civil rights leaders. They believed that segregation was a moral wrong and that they had a duty to resist it through nonviolent means. Despite the danger they faced, the freedom riders refused to back down, putting their lives on the line for the cause of justice and equality.

The bravery of the freedom riders had a profound impact on the civil rights movement. Their actions galvanized support for the cause and drew national attention to the issue of segregation. The freedom rides sparked a wave of protests and civil disobedience across the South, and helped to build momentum for the passage of the Civil Rights Act of 1964. This landmark legislation banned segregation in public places and made it illegal to discriminate against someone on the basis of race, color, religion, sex, or national origin.

The "Freedom Riders" documentary serves as a powerful reminder of the sacrifices made by those who fought for civil rights in the United States. It highlights the courage and determination of the freedom riders and the impact they had on the country. It is an important film that teaches us about the past and the struggles of those who fought for justice and equality.

In conclusion, the "Freedom Riders" documentary is a powerful reminder of the sacrifices made by those who fought for civil rights in the United States. It highlights the bravery and determination of the freedom riders and the impact they had on the civil rights movement. The film serves as a testament to the power of nonviolent protest and the importance of standing up for what is right, even in the face of opposition. The lessons of the freedom riders should inspire us all to continue working towards a more just and equal society.

Ankit Mishra

3cos²∅ (1+tan²∅) = 3

This equation involves trigonometric functions and can be simplified using trigonometric identities.

Starting with the right-hand side of the equation, we have 3. On the left-hand side, we have the expression 3cos^2(θ)(1 + tan^2(θ)).

We can simplify the expression as follows:

cos^2(θ) = 1 - sin^2(θ)

and

tan^2(θ) = sin^2(θ) / cos^2(θ)

Substituting these identities into the expression on the left-hand side, we get:

3(1 - sin^2(θ))(1 + sin^2(θ) / (1 - sin^2(θ))

Expanding the product and simplifying, we get:

3

Thus, the equation is true and holds true for all values of θ.

The distance travelled by Rahul, if he takes 6 rounds of a square field of side = 120m is 2880 meters.

We are given that Rahul takes 6 rounds of a square field of side length 120m. To find the total distance he travels, we need to calculate the perimeter of the square field and multiply it by the number of rounds.

The perimeter of a square is the sum of the lengths of its four sides. Since the side length of the square field is 120m, the perimeter is:

4 * 120m = 480m

This is the distance Rahul covers in one round around the square field.

To find the total distance he covers in 6 rounds, we multiply the distance covered in one round by the number of rounds:

480m * 6 = 2880m

So, Rahul covers a total distance of 2880 meters.

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The cost of one carrot is £1.6 and cost of one radish is £3.1 according to the quadratic equations we formed by the given data.

Here the cost of 4 kilo grams of radish and 1 and half kilo gram of carrot is £14.80.

Now, form a quadratic equation from the given data:

4[tex]\alpha[/tex]+1.5[tex]\beta[/tex]=14.80 --------(1)

Also given that the cost of 3kg of radishes and 2kg of carrots is £12. 50.

Similarly form a equation with that data:

3[tex]\alpha[/tex]+2[tex]\beta[/tex]=12.50 ----------(2)

Now simplify both equation 1 and 2

4[tex]\alpha[/tex]+1.5[tex]\beta[/tex]=14.80

3[tex]\alpha[/tex]+2[tex]\beta[/tex]=12.50

--------------------

4(3[tex]\alpha[/tex]+2[tex]\beta[/tex]=12.50)

3(4[tex]\alpha[/tex]+1.5[tex]\beta[/tex]=14.80)

-----------------------

12[tex]\alpha[/tex]+8[tex]\beta[/tex]=50

-(12[tex]\alpha[/tex]+4.5[tex]\beta[/tex]=44.4)

----------------------

3.5[tex]\beta[/tex]=5.6

[tex]\beta[/tex]=1.6

Therefore cost of one carrot is £1.6.

Now substitute the value is equation 1, we get:

4[tex]\alpha[/tex]=12.4

[tex]\alpha[/tex]=£3.1

Therefore cost of one radish is £3.1.

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The cost of one plum in pence is 9p. The cost of 1 lime in pence is 12p.

Comparing the cost plum is cheaper.

The cost of 1 plum can be found by dividing the total cost of 7 plums by 7:

63 p / 7 = 9 p

Therefore, the cost of 1 plum is 9 p.

The cost of 1 lime can be found by dividing the total cost of 5 limes by 5:

60 p / 5 = 12 p

Therefore, the cost of 1 lime is 12 p.

Comparing the costs of 1 plum and 1 lime, we see that 1 plum costs 9 p and 1 lime costs 12 p. Therefore, the plum is cheaper per item.

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____The given question is incomplete, the complete question is given below:

A grocery shop sells plums and limes. 7 plums cost 63 p. 5  limes cost 60p a) Work out the cost of  1 plum, in pence (p).

b) Work out the cost of 1 lime, in pence (p).

c) Which type of fruit is cheaper per item?

Answer:

The data in Set A are skewed left, because the mean is less than the median. The data in set B are symmetrical, because the mean is equal to the median.

Step-by-step explanation:

For prim people, this is the answer I got it right.

Bob gave the cashier $15.26 for the bag of beans.

To find the value of x, we need to subtract the cost of the beans from the total amount given to the cashier. The cost of the beans is $2.37, and the change received is $17.63.

Therefore, the value of x can be calculated as:

x = Total amount given to the cashier - Cost of the beans

x = $17.63 - $2.37

x = $15.26

A cashier is an employee who works in a retail or service industry, responsible for handling cash, credit card payments, and providing customer service. They are often the first and last point of contact for customers in a business. Cashiers use a cash register or computer system to record transactions, and must be able to accurately count money, make change, and reconcile the cash drawer at the end of their shift.

They also need to be proficient in using technology, such as scanners and card readers, to process transactions. In addition, cashiers must have good communication skills to interact with customers, answer questions, and resolve any issues. Other responsibilities may include stocking shelves, maintaining a clean and organized workspace, and ensuring that customers receive accurate pricing and promotional discounts.

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get rid of y. that's all you have to do.

The value of x is 18 and the measure of each side is:

QR = RS = QS = 29

An equilateral triangle is a triangle that has all its sides equal in length. Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees.

Now, According to the question:

Angle QRS is an equilateral triangle.

QRS is an equilateral triangle, thus all the three sides of the given triangle will be equal.

we have

QR = 2x - 7___(1)

RS = 5x - 61 ___(2)

QS = 11 + x_____(3)

Now, As all the sides of the triangle are equal, therefore

QR = RS = QS

⇒QR = RS

⇒2x - 7 = 5x - 61

⇒ -7 + 61 = 5x - 2x

⇒ 54 = 3x

⇒ x = 18

Put the value of x in above equations:

Thus, the measure of

QR = 2(18) - 7=29,

RS = 5(18) - 61 = 29 and

QS = 11 + 18 = 29.

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A linear clear variation is represented by the equation y = kx, in which k is the area under the curve y = mx + b and b is the zero-valued y-intercept.

The polynomial y = mx (commonly stylized y = kx), which seems referred to as a direct variation, can be obtained from the theory y = mx + b if m is a sufficiently small factor and b = 0. In other words, you may claim that y directly depends on x or that y is proportionate to x.

The standard format for presenting a direct variation is y=kx. The letters "y" and "x" are variables, and the letter "k" is a constant. Making a table will allow you to identify those ordered pairs that statisfy the example of y=2x.

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Answer:

Step-by-step explanation:

The correct answer is C. Shading will be above the y=-2x+1 line but below the y= 3x-1 line.

The line y=-2x+1 is a line with a slope of -2 and a y-intercept of 1. It represents the solutions that are greater than -2x+1.

The line y=3x-1 is a line with a slope of 3 and a y-intercept of -1. It represents the solutions that are less than 3x-1.

So, when you graph both of these lines on the same coordinate plane, the solutions that satisfy both inequalities will be the region that is above the line y=-2x+1 but below the line y=3x-1, and this is the region that will be shaded.

A sample size of 44 is needed to assure with 95% confidence that the sample mean will not differ from the population mean by more than 2.5 units.

To find the sample size needed to assure with 95% confidence that the sample mean will not differ from the population mean by more than 2.5 units, we can use the formula:

n = [ (z * σ) / E ]^2

where n is the required sample size, z is the critical value for the desired confidence level (95% confidence level corresponds to a z-value of 1.96), σ is the population standard deviation (given as the square root of the variance, which is √(70) ≈ 8.37), and E is the maximum error, or the maximum difference between the sample mean and population mean that we are willing to tolerate (which is given as 2.5 units).

Substituting the given values into the formula, we get:

n = [ (1.96 * 8.37) / 2.5 ]^2

n ≈ 43.48

Rounding up to the nearest whole number, we get a required sample size of n = 44.

Therefore, a sample size of 44 is needed to assure with 95% confidence that the sample mean will not differ from the population mean by more than 2.5 units, assuming a normal distribution with a population variance of 70.

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scores on a certain test are normally distributed with a variance of 70 . a researcher wishes to estimate the mean score achieved by all adults on the test. find the sample size needed to assure with 95 percent confidence that the sample mean will not differ from the population mean by more than 2.5 units.

Answer:

9.9 cm

Step-by-step explanation:

The right triangle has one-half the wing span as a leg.

The hypotenuse is 5.8cm and the other leg is 3cm

If we let the unknown leg of the triangle be x, by the Pythagorean theorem we know the sum of the squares of the two legs must be equal to the square of the hypotenuse .

So

x² + 3² = 5.8²

x² = 5.8² - 3²

= 33.64-9

= 24.64

x = √24.64

= 4.96

Total wingspan = 4.96 × 2 = 9.9 cm

Answer: 5

Step-by-step explanation:

If Johnny sets his watch 2 days ado then after two days watch will behind 18 seconds.

Addition is a basic mathematical operation that combines two or more numbers to give a total or sum. It is one of the four elementary arithmetic operations, along with subtraction, multiplication, and division. The operation involves adding or combining the values of two or more numbers, which are called addends, to produce a new value, which is the sum or the total.

If Johnny last set his watch 2 days ago,

we can substitute d = 2 into the equation:

s = d + 16

To find out how many seconds behind his watch is.

s = d + 16

s = 2 + 16

s = 18

So, Johnny's watch is 18 seconds behind if he last set it 2 days ago.

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The total value of the investment of $1000.00 at 5% simple interest for 5 years equals $1,250.

Total principal 'P' amount invested by Ivy is equal to $1,000.

Time period of investment 't' = 5 years

Rate of simple interest 'r' = 5%

Simple interest = ( Principal × rate of interest × time ) / 100

⇒ Simple interest = ( 1000 × 5 × 5 ) / 100

⇒ Simple interest = $250

Total value of the invested principal amount is equal to

= Principal amount + simple interest

= $1,000 + $250

= $1,250

Therefore, the total investment value of the principal amount at simple interest rate for 5 years is equal to $1,250.

The above question is incomplete, the complete question is:

Ivy invested $1000. 00 at 5% simple interest per annum for 5 years. How much was her investment worth after her investment ?

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The variable n in the original equation -2/3n = 7 + 15 is equal to -12.

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable maybe pointed search is the energy.

In order to isolate the variable in the equation -2/3n = 7 + 15, the first step is to subtract 7 from each side of the equation. This results in -2/3n = 8. Next, multiply each side of the equation by 3 to cancel out the 3 in the denominator. This leaves -2n = 24. Finally, divide each side of the equation by -2 to isolate the variable n. This results in the equation n = -12. Therefore, the variable n in the original equation -2/3n = 7 + 15 is equal to -12.

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Probability the player two have more lands in hand than player one is:

A) 0.0135

B) 0.102

What is probability?

The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability.

Here, we have

Given: each player has a deck of 40 cards. each player shuffles their deck, then deals seven cards, called their hand.

A ) probability of each player having four lands in their hand

Given data:

player 1 has 10 land cards

player two(2) having 20 land cards

Hence, the probability can be calculated as

= 0.0135

B) probability of player one having  two lands and player two having three lands in hand

Given data:

player one (1) has 10 land cards

player two has 20

Hence, the probability of player one having  two lands and player two having three lands in hand   can be calculated as attached below

= 0.102

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Answer:

atq= let no.be x and y

x= 4y-3.......(1)

x-2y=7....(2)

subtracting both eqn

x-x+2y=4y-3-7

2y=4y-10

-2y= -10

y=5 ........second no.

first no...x=7+2y=7+10=17.......first no.

Step-by-step explanation:

If the weight of the bucket is 70 lb , then the work required to lift the bucket from bottom is 135240 foot-pounds  .

We use the formula : Work = Force × Distance to calculate the work done

where "Force" is weight of bucket filled with water and "Distance" is  height it is lifted.

The weight of bucket filled with water is =  70 pounds.

We convert this to a force in pounds force, by using g = 32.2 feet per second squared ;

So , Force = Weight × Gravity

⇒ 70 lb × 32.2 ft/s² = 2254 lb-ft/s²

The distance that the bucket is lifted is = 60 feet ;

So , work required to lift bucket from bottom of well to top is :

⇒  Work = Force × Distance = 2254 lb-ft/s² × 60 ft

⇒ 135240 foot-pounds

Therefore , it will require 135240 foot-pounds of work to lift the bucket filled with water from the bottom of the well to the top.

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The given question is incomplete , the complete question is

A bucket that weights 70lb when filled with water is lifted at a constant rate, by a mechanical winch, from the bottom of a well that is 60 feet deep.  

Compute the work required to lift the bucket from the bottom of the well to the top .

Answer:

Rectangle ABCD is graphed in the

coordinate plane. The following are the

vertices of the rectangle: A(5,5), B(7,5),

C(7, -1), and D(5, -1).

Given these coordinates, what is the length

of side BC of this rectangle?

Step-by-step explanation: