(04.04 LC)
On a coordinate grid, point T is at (2,-4) and point S is at (2,6). The distance (in units) between points T and S is
numbers, such as 2.)

Answer:

Mean of Connors 3 card is 9

Step-by-step explanation:

Solution

Minimum of 3cards is 6

range is 7

max -min=7

max=min+7

max=7+6

max=13

Mean=6+13+8/3=27/3=9

Answer:

Mean of Connors 3 card is 9

Step-by-step explanation:

Solution

Minimum of 3cards is 6

range is 7

max -min=7

max=min+7

max=7+6

max=13

Mean=6+13+8/3=27/3=9

Pick a quote and explain how it relates to you:

The habit of reading is one of the greatest resources of mankind; and we enjoy reading books that belong to us much more than if they are borrowed. A borrowed book is like a guest in the house; it must be treated with punctiliousness, with a certain considerate formality. You must see that it sustains no damage; it must not suffer while under your roof. You cannot leave it carelessly, you cannot mark it, you cannot turn down the pages, you cannot use it familiarly. And then, some day, although this is seldom done, you really ought to return it.

But your own books belong to you; you treat them with that affectionate intimacy that annihilates formality. Books are for use, not for show; you should own no book that you are afraid to mark up, or afraid to place on the table, wide open and face down. A good reason for marking favorite passages in books is that this practice enables you to remember more easily the significant sayings, to refer to them quickly, and then in later years, it is like visiting a forest where you once blazed a trail. You have the pleasure of going over the old ground, and recalling both the intellectual scenery and your own earlier self.

Everyone should begin collecting a private library in youth; the instinct of private property, which is fundamental in human beings, can here be cultivated with every advantage and no evils. One should have one's own bookshelves, which should not have doors, glass windows, or keys; they should be free and accessible to the hand as well as to the eye. The best of mural decorations is books; they are more varied in color and appearance than any wallpaper, they are more attractive in design, and they have the prime advantage of being separate personalities, so that if you sit alone in the room in the firelight, you are surrounded with intimate friends. The knowledge that they are there in plain view is both stimulating and refreshing. You do not have to read them all. Most of my indoor life is spent in a room containing six thousand books; and I have a stock answer to the invariable question that comes from strangers. "Have you read all of these books?"

"Some of them twice." This reply is both true and unexpected.

There are of course no friends like living, breathing, corporeal men and women; my devotion to reading has never made me a recluse. How could it? Books are of the people, by the people, for the people. Literature is the immortal part of history; it is the best and most enduring part of personality. But book-friends have this advantage over living friends; you can enjoy the most truly aristocratic society in the world whenever you want it. The great dead are beyond our physical reach, and the great living are usually almost as inaccessible; as for our personal friends and acquaintances, we cannot always see them. Perchance they are asleep, or away on a journey. But in a private library, you can at any moment converse with Socrates or Shakespeare or Carlyle or Dumas or Dickens or Shaw or Barrie or Galsworthy. And there is no doubt that in these books you see these men at their best. They wrote for you. They "laid themselves out," they did their ultimate best to entertain you, to make a favorable impression. You are necessary to them as an audience is to an actor; only instead of seeing them masked, you look into their innermost heart of heart.

The scenario formed a right triangle with an adjacent side of 24.2 ft. and included an angle of 37°.

First, let's recall the three main trigonometric functions.

In the scenario, the height of the flagpole appears to be the Opposite Side of the right triangle formed.

Since the function that we will be equating involves the Opposite Side and Adjacent Side of a right triangle, we will be applying the Tangent Function to find the height of the flagpole.

We get,

Therefore, the height of the flagpole is 18.2 ft.

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

Answer:

\(4(x^4+7)\)

Step-by-step explanation:

Taking out the greatest common factor,\(16x^4+28=4(x^4+7)\).

The best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.

To find the best-predicted height for someone with a foot length of 20.4 cm, we need to use the linear regression equation that relates foot length and height. The linear regression equation is of the form:

y = a + bx

where y is the predicted height, x is the foot length, a is the y-intercept, and b is the slope of the regression line.

From the given information, we know that the technology found a linear correlation between height and foot length. This means that we can use the paired data to calculate the values of a and b in the regression equation.

Using the paired data and technology, we can obtain the following regression equation:

height = 34.774 + 1.4966 (foot length)

Now we can substitute the given foot length of 20.4 cm into the equation to obtain the predicted height:

height = 34.774 + 1.4966 (20.4)

height = 65.83 cm

Therefore, the best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.

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Answer:

1007

Step-by-step explanation:

Divide the expression by two parts: the first one with all positive integer (the integer which can't be divided by two), 1+3+5+...2013 and the rest -2-4-6-...-2012

If you notice both parts are arithmetical sequences

Explore the first one 1+3+5...+2013

a1=1 d=3-1=2 an=2013

a1+d(n-1)=an

1+2(n-1)=2013

2(n-1)=2012

n-1=1006

n=1007

Sn=( 1/2)*(a1+an)*n= 0.5*2014*1007=1007*1007=1014049

-2+(-4)-...-2012

a1=-2

d=a2-a1= -4-(-2)=-2

a1+d(n-1)=an

-2+(-2)(n-1)=-2012

n=1006

Sn= (a1+an)/2*n=(-2-2012)/2*1006=-1007*1006

-1007*1006+1007*1007= 1007- the answer

The second mean

1-2=-1

3-4=-1

5-6=-1

There are 2012/2=1006 couples and every of them has sum -1

-1*1006=-1006

-1006+2013=1007

The given polynomial written in standard form is: 3z⁴ + 2z³ + 5z

Degree: 4

Leading Coefficient: 3

Classification: Trinomial

Writing a polynomial in standard form simply means that we put the term with the highest exponent in it first and then the one with the second highest exponents second, and so on.

The polynomial we are given is:  5z + 2z³ + 3z4

Writing it in standard form gives us:

3z⁴ + 2z³ + 5z

The degree of the polynomial is defined as the value of the exponent in the leading term (if we are assuming a single variable). Thus, this given polynomial is of degree 4.

The leading coefficient is the number that the first term is multiplied by and in this problem that would be 3.

There are three terms in the given polynomial (the first term is 3z⁴, the second term is 2z³, and the 3rd term is 5z). Thus, it is a trinomial.

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Answer:

The correct answer is D. Step 4 is incorrect and should be 10x = 24.

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

~Shoto Todoroki here~

Colin's mean score of his 10 runs is 18.8.

Colin's new mean score after the game on Sunday is 20.

Mean is a measure of central tendency. It is used to describe a data set. It is the sum of a set of observations divided by the number of observations. It is also known as average.

Mean = sum of scores / total number of scores.

Colin's mean scores can be determined by dividing the sum of scores by total number of scores.

Sum of scores = (20 + 29 + 34 + 19 + 8 + 12 + 0 + 23 + 29 + 14) = 188

Number of scores = 10

Mean of scores = 188 / 10 = 18.8

Colin's new mean score can be determined by adding 32 to the sum of scores already determined and dividing the sum by the total number of scores.

New sum of scores = 188 + 32 = 220

Number of scores = 11

Mean scores = 220 / 11 = 20

hope this helps :D

Answer:

5+x

Step-by-step explanation:

Answer:

Statistics

Looking at the table given,

Overall 30% of the package arrived ahead of delivery

Therefore 70% of the package did not arrive on time.

30% of total = 30% x 100 = 30( package that arrived ahead of delivery)

70% of 30(Satisfied with package that arrived ahead of delivery) = 21

P not satisfied = 30 - 21 = 9

Packages that did not arrive on time = 100 - 30 = 70

60% of 70 = 42 (satisfied and did not arrive on time)

70 - 42 = 28 (not satisfied and did not arrive on time)

Therefore

Not Satisfied = 9 + 28 = 37 (not 34)

Satisfied = 21 + 42 = 63 ( not 66)

From these, P(satisfied) = 21/100 = 0.21

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9514 1404 393

Answer:

  40 units²

Step-by-step explanation:

You can figure the side lengths using the distance formula, or you can use a formula for finding area from coordinates. The latter looks like ...

  \(\displaystyle A=\dfrac{1}{2}\left|\sum\limits_{k=1}^n{x_k(y_{k-1}-y_{k+1})}\right|\qquad\text{where $y_0=y_n$ and $y_{n+1}=y_1$}\)

So, the area is ...

  A = (1/2)|(-6(-5-1) +2(-1-7) +2(1-3) +3(7+3) +3(3+5) -5(-3+1)|

  = (1/2)|36 -16 -4 +30 +24 +10| = (1/2)(80)

 A = 40

The area of the figure is 40 units².

The fraction of silver or brown canoes is 7/10.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Total canoes team = 10

5 teams have silver canoes team.

2 teams have brown canoes team.

Now,

The fraction of silver and brown canoes.

= (5 + 2) / 10

= 7/10

Thus,

7/10

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Answer:

Step-by-step explanation:

To solve this inequality, we can start by isolating the absolute value expression on one side of the inequality.

|x| + 6 < 13

Subtracting 6 from both sides, we get:

|x| < 7

Now we have an absolute value inequality to solve. We can split this into two separate inequalities, one for when x is positive and one for when x is negative.

When x is positive:

|x| < 7 becomes x < 7

When x is negative:

|x| < 7 becomes -x < 7, or x > -7

Therefore, the solution to the inequality is:

-7 < x < 7

This means that x can be any number between -7 and 7, but not including -7 or 7.

The measure of the complement of a 1-degree angle is 89 degrees.

The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.

Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:

1 degree + x degrees = 90 degrees.

To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:

x degrees = 90 degrees - 1 degree.

Simplifying the right side, we get:

x degrees = 89 degrees.

In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.

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The Expression x^2 - 6x + 9 when x = 2 + i   is -2i

To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:

(2 + i)^2 - 6(2 + i) + 9

Simplifying the first term, we get:

(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2

Since i^2 = -1, we can substitute that in and simplify further:

(2 + i)^2 = 4 + 4i - 1 = 3 + 4i

Now we substitute this into the original expression:

(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9

Simplifying further, we get:

= 3 + 4i - 12 - 6i + 9

= 0 - 2i

= -2i

Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.

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Answer:

t = 4

Step-by-step explanation:

p = kt

144 = 36t

t = 144/36

t = 4

Answer:

t = 4

Step-by-step explanation:

You need to do 144 divided by 6 to find t.

And 144 divided by 6 equals 4, therefore t = 4

Answer:

96 oz.

Step-by-step explanation:

Mary drinks 24 ounces a day Lena drinks 3 times a much

24 x 3 = 72

72 + 24 = 96

Answer:

They dinks ounces of juice together = 96 ounces.

Step-by-step explanation:

Given that :-

To find :-

Solution :-

Mary drinks 24 ounces of juice a day = 24 ounces.

Lena drinks three times much than mary = 3 × 24 ounces = 72 ounces

They drinks ounces together = mary drinks ounces of juice + lena drinks ounces of juice

= 24 ounces + 72 ounces

Hence , They dinks ounces of juice together = 96 ounces.

Answer:

B only

Step-by-step explanation:

Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.

Therefore, only B is correct

The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.

The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.

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Answer:

5

Step-by-step explanation:

Answer:

161.1 m² (1 dp)

Step-by-step explanation:

Area of a triangle = 1/2 x base x height

⇒ area = 1/2 x 12 x (20 - 12) = 48 m²

Area of a quarter circle = \(\dfrac14\pi r^2\)

⇒ area = 1/4 x \(\pi\) x 12² = 113.1 m² (1 dp)

Total area = 48 + 113.1 = 161.1 m² (1 dp)

Answer:

\(0, \dfrac{\pi}{6}, \dfrac{5\pi}{6}, \pi\)

Step-by-step explanation:

Given the equation:

\(sin(x)-2sin(x) tan(x)=0\)

To find:

The solutions of given equation in the range [0, 2\(\pi\)) i.e. 0 can be in the answer but \(2\pi\) can not be there in the answer.

Solution:

Taking \(tan(x)\) common, we get:

\(tan(x) (1-2sin(x))=0\)

The solutions can be given as:

\(tan(x) = 0\) OR \(1-2sin(x) = 0\)

Let us solve both the equations one by one:

First equation:

\(tan(x) = 0\\ \Rightarrow x=0, \pi\)

Second equation:

\(1-2sin(x) = 0\\\Rightarrow 2sinx=1\\\Rightarrow sinx=\dfrac{1}{2}\\\Rightarrow x = \dfrac{\pi}{6}, \dfrac{5\pi}{6}\)

Therefore, the answers as a comma separated list are:

\(0, \dfrac{\pi}{6}, \dfrac{5\pi}{6}, \pi\)

Answer:

  y = -5/2x +1

Step-by-step explanation:

You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.

The equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:

  5(-2) +2(6) = c

  -10 +12 = c

  2 = c

Now we know the equation of the parallel line can be written as ...

  5x +2y = 2

Solving for y puts this in slope-intercept form:

  2y = -5x +2 . . . . . . . . subtract 5x

  y = -5/2x +1 . . . . . . . . divide by 2

We don't know what your boxes look like, but we can separate the numbers to make it look like this:

  \(\boxed{y=\dfrac{-5}{2}x+1}\)

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The variance of the score for younger women is 0.6875 while that of the older women is 1.4844.

From the complete question, the mean will be:

= (8 + 6 + 6 + 7 + 8 + 7 + 8 + 8) / 8

= 7.25

The variance will be:

= (8 - 7.25)² + (6 - 7.25)² + (6 - 7.25)² + (7 - 7.25)² + (8 - 7.25)² + (7 - 7.25)² + (8 - 7.25)² - (8 - 7.25)² / 8

= 0.6875

The mean of the older women will be:

= (7 + 5 + 8 + 5 + 7 + 6 + 8 + 5) / 8

= 6.375

The variance will be gotten by subtracting the mean from each value and doing it exactly as above. This will be 1.4844.

Lastly, since the variance for younger women is less than that of the older women, the score for younger women is less consistent.

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Answer:

This is a simple multiplication problem.

Here is my steps:

(14x^3 + 35x^2 + 4x + 10x + 8x + 20)

Combine like terms:

(14x^3 + 35x^2 + 22x + 20)

And that is your answer^^

Answer:

14x3+ 39x2 +8x +20

Step-by-step explanation:

Use the distributive property and/or the FOIL (front, outer, inner, last) method.

First:

Multiply (7x2)(2x)

=14x3

Then (7x) (5)

=35x2

Second:

Multiply (2x)(2x)

=4x2

Then (2x)(5)

=10

Third:

Multiply 4(2x)

=8x

Then (4)(5)

=20

You should get:

14x3 +35x2 +4x2 +10 +8x +10

Add all common numbers.

You should get:

14x3+ 39x2 +8x +20