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## . Please use complete sentences. How has music changed from prehistoric or ancient times?

In the workplace, classical can be played as a background to slowly introduce the type of music to the minds of children which could, overtime, cause children to develop a fondness or sense of familiarity for the music. Also, suggesting it and playing it with them at full attention could also help cause children to become interested in it, or, during playtime, naptime, or any period of time in which a child can focus on something, classical music can play, which will also help increase brainwave activity and strengthen focus as well as relaxation and help a child become more studious.

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## A rectangular shipping container has a volume of 2500 cubic cm. The container is 4 times as wide as it is deep, and 5cm taller than it is wide. What are the dimensions of the contaner?

A rectangular shipping container has a volume of 2500 cubic cm. The container is 4 times as wide as it is deep, and 5cm taller than it is wide. What are the dimensions of the contaner?

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## Combine and simplify the following radical expression. 2 over 3 times cubed root of 5

Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared

Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to select the correct option that could be used to calculate the coordinates for point B.

Let, (x, y) be the co-ordinates of point B.

According to distance formula, the distance between two points (a, b) and (c, d) is given by

Therefore, the distance between the points A(8, 9) and B(x, y) is given by

Since, distance between A and B is 10 units, so

d = 10.

Therefore,

Thus, the correct statement is

10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.

Option (C) is correct.

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## Joe runs 8.75 times around a track in 1,125.803 seconds. If one lap around the track is 420.3 meters, which is the best estimate of the runner's average speed in meters per second (m/s)?

Joe runs 8.75 times around a track in 1,125.803 seconds. If one lap around the track is 420.3 meters, which is the best estimate of the runner’s average speed in meters per second (m/s)?

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## Which musician wrote the song "the times they are a changin" which became an anthem of the 1960s counterculture movement

Which musician wrote the song “the times they are a changin” which became an anthem of the 1960s counterculture movement

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## 5 less than three times a number is 10

5 less than three times a number is 10

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## If f(x)=the square root of x+12 and g(x)=2 times the square root of x, what is the value of (f-g)(144)?

5 in 0.05 is 10 times greater than 5 in 0.005.

Step-by-step explanation:

To find : In which number does the digit 5 have greater value 0.05 or 0.005 how many times as great is it and how do you know ?

Solution :

According to the place value stem,

Ones      Tenths      Hundredths     Thousandths

0              0                   5                                           – 0.05

0              0                   0                        5                 – 0.005

In 0.05 5 is in hundredths place and in 0.005 5 is in thousandths place.

So, 5 in 0.05 is 10 times greater than 5 in 0.005.

As

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## The weight of an African elephant is 6×10^6 grams; the weight of a tiger is 3×10^5 grams. How many times heavier is the elephant than the tiger?

The weight of an African elephant is 6×10^6 grams; the weight of a tiger is 3×10^5 grams. How many times heavier is the elephant than the tiger?

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## What can be concluded from observing a 45-degree angle translated across the y-axis three times ?

The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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## What is the following product? Square root 12 times sqrt 18

The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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## Find the quotient of the quantity 21 times x to the 2nd power times y to the 6th power plus 6 times x times y to the 3rd power minus 30 times x times y all over 3 times x times y. 21x2y6 + 6xy3 − 10 7xy5 + 2y2 + 10 7xy5 + 2y2 − 10 7xy5 + 2y − 10

Find the quotient of the quantity 21 times x to the 2nd power times y to the 6th power plus 6 times x times y to the 3rd power minus 30 times x times y all over 3 times x times y. 21x2y6 + 6xy3 − 10 7xy5 + 2y2 + 10 7xy5 + 2y2 − 10 7xy5 + 2y − 10

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## In which number does the digit 5 have greater value 0.05 or 0.005 how many times as great is it and how do you know

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=   …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

…………[3]

Subtract [2] and [3]

……….[4]

Add equation [1] and [4], to get values of x and y

Substitute x in [1]

Substitute value of x in equation [2], to get z

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.

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## A total of 321 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold

A total of 321 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold

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## College calculus. I’ve tried it a couple times but i can’t seem to get the right answer

The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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## A moving small car has a head-on collision with a large stationary truck 7.3 times the mass of the car. Which statement is true about the direction of the car after the collision if the collision is elastic? The car continues moving in its initial direction with the same velocity. The car bounces off and moves in the opposite direction. The car keeps moving in its initial direction with a lower velocity than at first. The car stops completely.

The gravitational force Fg between two objects is given by the equation:

Fg=(G*m₁*m₂)/r₂, where G=6.67*10^-11 m³ kg⁻¹ s⁻² is the gravitational constant, m₁ and m₂ are the masses of the two bodies and r is the distance between those bodies.

Due to the gravitational attraction the pencil and the eraser will attract if we there is no friction on the surface.

m₁=10 g=0.01 kg is the mass of the pencil
m₂=20 g=0.02 kg is the mass of the eraser
r=2.5 cm = 0.025 m

First we calculate the Fg:

Fg={(6.67*10^-11)*0.01*0.02}/(0.025²)=2.1344*10^-11 N

To get the velocity v of the pencil:

v²=2as, where a is the acceleration of the pencil and s is the path. In our case s=r so we can write:

v²=2ar

a=Fg/m₁= 2.133*10^-9 m/s²

v²=2*(2.133*10^-9)*0.025=1.0665*10^-10

v=√(1.0665*10^-10)=1.0327*10^-5 m/s

We have the velocity and the acceleration, so we can calculate the time t with the equation:

t=v/a=(1.0327*10^-5)/(2.133*10^-9)=4841.6 s

1 hour has 3600 s so when we divide time t in seconds by 3600 we get time T in hours:

T=t/3600=4841.6/3600=1.3449 h.

So the time for the pencil and eraser to touch is T=1.3449 hours.

Also time T can be expressed like T= 1h and 20 mins and 41.64 s

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## A barrel shaped like a cylinder is laid on its side and rolled up a ramp that is 92m long. The barrel has a circular base that turns 46 times in being rolled up the ramp. What is the diameter of the circular base?

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=   …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

…………[3]

Subtract [2] and [3]

……….[4]

Add equation [1] and [4], to get values of x and y

Substitute x in [1]

Substitute value of x in equation [2], to get z

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.

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## When larina started college, she was certain that she would never smoke marijuana. by the end of her freshman year, however, larina had used this drug several times. larina’s experience best illustrates?

The answer is C. In order to carefully control conditions and confirm or disconfirm a hypothesis about the causes of behavior, one must perform an experiment.

Explanation:

Experimental research allows the researcher to control all the variables in order to create the conditions that can confirm or disconfirm a hypothesis. This method aimes to establish a relation of causality between two variables, which means that one variable is generated and determined by the other; this is posible because all of the other variables that can influence it have been controlled.

When a researcher conducts a survey or engages in naturalistic observation, he can’t control the variables, therefore, he can only establish a correlation between two variables, but not of causality.

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## Jackie’s total number of coins is 204.. She has twice as many quarters as nickels and three times as many dimes as nickels.. How many of each coin does she have ?? Thank you so much :)

3 positive real root and 1 negative real root and no complex root.

Step-by-step explanation:

Here, the given function,

Since, the coefficient of variables are,

-3,   5,    -1,    8,    4,

The sign of variables goes from Negative(-3) to positive (5) , positive(5) to negative(-1) and negative (-1) to positive (8),

So, the total changes in sign = 3,

By the Descartes’s rule of sign,

Hence, the number of real positive roots = 3,

Also,

Since, the coefficient of variables are,

-3,   -5,   -1,    -8,   4

The sign of varibles goes to negative (-8) to positive (4),

So, the total changes in sign = 1,

Hence, the number of real negative roots = 1,

Now, the degree of the function f(x) is 4,

Thus, the highest number of roots of f(x) is 4,

So, it does not have any complex root.

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## The sum of 74 and four times a number is 258. Find the number

(B)

Step-by-step explanation:

The given data set is:

30, 24, 8, 21, 35, 23, 23, 19, 13, 17

In order to find the median, arrange the given data in ascending order that is

8, 13, 17, 19, 21, 23, 23,24, 30, 35

Now, Median is given as:

Thus, the median is 22.

The lower quartile is:

8, 13, 17, 19, 21

The mid data set value is the Lower Quartile, thus the Lower Quartile is 17.

The upper Quartile is:

23, 23,24, 30, 35

The mid data set value is the Upper Quartile, thus the Upper Quartile is 24.

Hence, option B is correct.

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## The perimeter of triangle B is 6 times greater than the perimeter of triangle A. The area of triangle B is how many times greater than the area of triangle A? A. 36 times greater B. 6 times greater C. 3 times greater D. 1.5 times greater

The perimeter of triangle B is 6 times greater than the perimeter of triangle A. The area of triangle B is how many times greater than the area of triangle A? A. 36 times greater B. 6 times greater C. 3 times greater D. 1.5 times greater

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## PLLZZ HELP MEessay question Alinn flipped a coin 20 times. The coin landed heads up 12 times and tails up 8 times. Part A: Based on the results, what is the experimental probability of the coin landing heads up? Show your work. (5 points) Part B: What is the theoretical probability of the coin landing heads up? Show your work. (5 points)

So hmmm there are 5pennies in a nickel, and 10pennies in a dime and 25pennies in a quarter

now, in \$6.10, there are 610 pennies

n = amount of nickels coins
d = amount of dime coins
q = amount of quarter coins

so… we know, there are 5*n or 5n pennies in the nickels, and 10*d or 10d pennies in the dimes and 25*q or 25q in the quarter coins, and we know their sum is 610 pennies total, thus

5n + 10d + 25q = 610

now, there are 4 more “n” then “d”, so whatever “d” is, “n” is 4  more than that
n = d + 4

and twice as many “q” than “n”, so, whatever “n” is, then
q = 2n

solve for “d”, to see how many dimes are there

what about the nickels? well, n = d + 4
what about the quarters?  well, q = 2d + 8

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## Ishaan is 3 times as old as Christopher and is also 14 years older than Christopher. How old is Ishaan?

In this case, since the standard deviation is known and
the sample size is less than 30, we will use the t-distribution. The formula
for calculating the confidence interval is:

Confidence Interval = X ± t * s / sqrt(n)

Where,

X = sample mean = \$664.14

t = t score (taken from standard distribution tables)

s = standard deviation = \$297.29

n = sample size = 14

At Degrees of Freedom = n – 1 = 13 and 98% Confidence
interval, z = 2.65

Substituting the values in the equation:

Confidence Interval = 664.14 ± 2.65 * 297.29 / sqrt(14)

Confidence Interval = 664.14 ± 210.55

Confidence Interval = 453.59 to 874.69

< CI < \$874.72

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## Stephanie has 84 less than three times as much as Erin. Together they have 132. how much money does each girl have?

Given : The function   shows the height H(t) , in feet, of a projectile after t seconds.

A second object moves in the air along a path represented by , , where g(t) is the height, in feet, of the object from the ground at time t seconds.

To find :  Part A – Create a table using integers 2 through 5 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located?

Part B – Explain what the solution from Part A means in the context of the problem.

Solution :

For Part A –

Substitute the value of t from 2 to 5 in the equation H(t) and g(t)

t

2

3

4

5

To determine the interval in which H(t)=g(t), we have to plot the equation and the table points and see the intersection.

Refer the attached figure below.

The intersection point of both the equations are (4.632,29.088)

This point lies between t at 4 to 5.

Therefore, H(t)=g(t) between t=4 to t=5.

For Part B –

The Part A shows that the projectile destroyed along the path are same in interval [4,5] and gives the solution of equation.

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## The new york times prints an article accusing new jersey governor chris christie of taking campaign contributions from wealthy citizens with ties to organized crime. christies public relations staff argues that these claims are completely unfounded. therefore, they might file a complaint of ____________ against the newspaper in order to get the story retracted.?

The correct answer is “it includes commentary on several rights issues, including slavery and women’s suffrage.”

The statement that best describes “How ain’t a Woman” is “it includes commentary on several rights issues, including slavery and women’s suffrage.”

Isabella Baumfree was an African American woman that was born in 1797. She changed her name to Sojourner Truth in 1843. Her tenacity on the civil rights for women made her a supporter of human rights followed by many African Americans. She was also famous for her speech delivered in 1851 in the Women’s Rights Convention, in Akron, Ohio. The title of the speech is “How ain’t a Woman.” In the speech, she includes commentary on several rights issues, including slavery and women’s suffrage.

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## Two times a number is the result when 7 times the same number is taken away from 99. What is the number?

No, It is not necessarily true that the greatest common divisor of all three numbers is greater than 1.

Step-by-step explanation:

Consider the provided information.

It is given that Aisha’s number and Benoit’s number have a common divisor greater than 1.

Let us assume any number having common divisor greater than 1

Let say Aisha’s number is 10 and Benoit’s number is 14.

Now the common divisor in both the numbers are:

Aisha: 10 = 2×5

Benoit: 14 = 2×7

Here, the common divisor is 2.

Now, it is given that Aisha’s number and Carleen’s number also have a common divisor greater than 1.

Let us assume Carleen’s number is 35. Thus the common divisor in both the numbers are:

Aisha: 10 = 2×5

Carleen: 35 = 5×7

Here, the common divisor is 5.

Benoit’s number and Carleen’s number also have a common divisor greater than 1.

Benoit: 14 = 2×7

Carleen: 35 = 5×7

Here, the common divisor is 7.

Now, we need to find that the greatest common divisor of all three numbers is greater than 1.

Aisha: 10 = 2×5

Benoit: 14 = 2×7

Carleen: 35 = 5×7

There is no common divisor greater than 1.

Hence, it is not necessarily true that the greatest common divisor of all three numbers is greater than 1.