Which lines from Natalie Merchant's song "Wonder" most likely inspired R. J. Palacio to give August's mother's great determination in the novel Wonder? O Doctors have come from distant cities just to see me O stand over my bed disbelieving what they're seeing with love, with patience and with faith she'll make her way I'm over your heads how I confound you and astound you​

Answer:

a) even

b) neither

c) odd

Step-by-step explanation:

A function is "even" when there is symmetry about the y-axis.

Functions are symmetric with respect to the y-axis if for every point (a, b) on the graph, there is also a point (-a, b) on the graph:

A function is "odd" when there is origin symmetry.

Functions are symmetric with respect to the origin if for every point (a, b) on the graph, there is also a point (-a, -b) on the graph:

From inspection of the graph, the curve appears to be symmetrical about the y-axis. Therefore, the function is even.

This is an absolute value function.  It has no symmetry about the y-axis or the origin.  Therefore, the function is neither.

From inspection of the graph, the curve appears to be symmetric with respect to the origin. Therefore, the function is odd.

Answer:

Slope (m) = infinity

Step-by-step explanation:

The value of f(x) when x = -1 is 6.

The value of f(x) when x = 0 is 7.

The value of f(x) when x =9 is 10

The value of f(x) when x = 81 is 16

A function simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

The value of f(x) when x = 0 is:

= ✓0 + 7

= 7

.

The value of f(x) when x =9 is:

= ✓9 + 7

= 10

The value of f(x) when x = 81 is:

= ✓81 + 7

= 16

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Answer:

5

Step-by-step explanation:

The possible value of y-coordinate of the point C will be 5 or -1.

Given information:

Right triangle ABC is on a coordinate plane.

Segment AB is on the line y = 2 and is 6 units long.

Point C is on the line x=−3.

The area of triangle ABC is 9 square units.

AB is on the line y=2 which is parallel to the x-axis. So, AB will be parallel to x-axis.

Point C is on the line  which is parallel to y-axis. So, side BC or AC will be parallel to y-axis.

So, AB will be perpendicular to the other side containing point C (BC or AC). From this, the y-coordinate of the point C should be such that the length of the side or leg containing C should justify the area of the triangle.

The length of other leg of the triangle should be,

So, the y-coordinate of the point C can be,

Therefore, the possible value of y-coordinate of the point C will be 5 or -1.

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Answer:

5

Step-by-step explanation:

Triangle Area formula

A = 1/2(b)(h)

We have the area of the triangle = 12.5 and the base, or height = 5

12.5 = 1/2 (5)(h) OR 12.5 = 1/2(b)(5)

(switching base/height doesnt work for everything)

12.5 = 2.5h OR 12.5 = 2.5b

12.5/2.5 = 2.5h/2.5 OR 12.5/2.5 = 2.5b/2.5

5 = h, 5 = b

5 · 5 = 25

25/2 = 12.5

This is just how I did it, you would use the distance formula, but since I didn't have coordinates, I checked my answer like this, you could always substitute coordinates that fit the description for the question.

So, the answer is 5.

Have a wonderful Day!

Answer:

Step-by-step explanation:

y=mx+b

m= slope and b= y intercept

you'll start with a point on the y axis on -1

and the slope will go up so towards the right corner up but 2/1 points

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer:

1/14

Step-by-step explanation:

The ratio is 5:70. The fraction form of that is 5/70. To get the lowest terms, I divided both numbers by 5. So it is 1/14

Answer:\({ \left[\begin{array}{ccc}45.5\\\\\end{array}\right] }{}\\\\\end{array}\right] } ----\)

Step-by-step explanation: Hey, Basically we are going to arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

Hope this helps!

Answer:

Step-by-step explanation:

The measure of the line segment DE is 6 units if point D is on line segment CE. Given CE = 18 and CD = 12

A segment bisector is a line, ray, line segment, or point that divides a line segment into two equal halves at its center.

It is given that:

Point D is on line segment CE. Given CE = 18 and CD = 12

From the line figure:

CD + DE = CE

12 + DE = 18

DE = 18 - 12

DE = 6

Thus, the measure of the line segment DE is 6 units if point D is on line segment CE. Given CE = 18 and CD = 12

The complete question is:

Point D is on line segment CE. Given CE = 18 and CD = 12; determine DE

The figure is attached to the picture.

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We can simplify cosec(t)tant(t) to sec(t). A trigonometric function is a mathematical function that relates the angles of a triangle to the ratios of its sides.

The most common trigonometric functions are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

To simplify the expression cosec(t)tant(t), we need to use the trigonometric identity:

cosec(t) = 1/sin(t)

tant(t) = sin(t)/cos(t)

Substituting these expressions into the original expression, we get:

cosec(t)tant(t) = (1/sin(t))(sin(t)/cos(t))

The sin(t) term in the numerator and denominator cancel out, leaving:

cosec(t)tant(t) = 1/cos(t)

Recalling the definition of secant, sec(t) = 1/cos(t), we can express the simplified expression as:

cosec(t)tant(t) = 1/sec(t)

Therefore, we can simplify cosec(t)tant(t) to sec(t).

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Answer:

78

Step-by-step explanation:

dont use this

The prices of products usually fall due to depreciation and the appearance of new technological objects. In this case, the value of the television would lower its price due to the appearance of other technologies such as LED.

To calculate the depreciation of the LCD TV, the year of manufacture, the useful life, the prices of new products (generally better), among others, must be taken into account.

A ballpark figure of 15% is generally used to calculate the depreciation of a television per year. In this case, following this pattern, the television would have a value of:

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The expression is equivalent to the expression (12 + 3) ÷ 5 is (3 + 12) ÷ 5

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

(12 + 3) ÷ 5

The above expression is a quotient expression

However, we can apply some algebraic properties

Take for instance;

12 + 3 can be expressed as 3 + 12

So, we have

(12 + 3) ÷ 5 = (3 + 12) ÷ 5

Hence, the expression is equivalent to the expression is (3 + 12) ÷ 5

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The only possible solution is x = 2. Therefore, the three consecutive integers that form the sides of the right triangle are 2, 3, and 4.

Since they are consecutive integers, let's assume that the hypotenuse, which is the longest side of the right triangle, is x+2, as it is three units longer than the shortest side.

In a right triangle, the hypotenuse's square is equal to the sum of the squares of the other two sides, according to the Pythagorean theorem. We can thus write:

\((x+2)^2 = x^2 + (x+1)^2\)

Expanding the squares, we get:

\(x^2 + 4x + 4 = x^2 + x^2 + 2x + 1\)

Simplifying and rearranging terms, we get:

\(2x^2 - 2x - 3 = 0\)

We can solve this quadratic equation by using the quadratic formula:

x = (-b ± \(\sqrt{b^2 - 4ac}\)) / 2a

where a = 2, b = -2, and c = -3.

Plugging in these values, we get:

x = (-(-2) ± \(\sqrt{((-2)^2 - 4(2)(-3)))\) / 2(2)

x = (2 ± \(\sqrt{(4 + 24))\) / 4

x = (2 ± \(\sqrt28}\) / 4

x = (2 ± \(2\sqrt{7}\)) / 4

x = 1/2 ± \(\sqrt{7}\)/2

The only option is x = 2, since x must be an integer. As a result, the numbers 2, 3, and 4 are the three consecutive integers that make up the sides of the right triangle.

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Answer:

Sorry can't do this

Step-by-step explanation:

Answer:

uhhhhhhhhhhhhhhhhhhhhhhhhh 4

Step-by-step explanation:

Explanation:

We will use the compound interst formula below

Where,

By substituting the values, we will have

Hence,

The final answer is

Answer:

2:7

Step-by-step explanation:

6:21 /3 = 2:7

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

A. -21

Step-by-step explanation:

y varies directly as x

y = kx

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

y = 15 when x = -5

Find k, the constant of variation

15 = k(-5)

Divide both sides by -5

-3 = k

k = -3

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

y when x= 7

using k = -3

y = -3(7)

y = -21

The value of x and y are 8\(\sqrt{2}\), we can solve this question by Pythagoras' Theorem.

Pythagoras' Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. Mathematically, it can be written as: \($a^2 + b^2 = c^2$\)

where 'a' and 'b' are the lengths of the legs (the sides adjacent to the right angle) and 'c' is the length of the hypotenuse. This theorem is named after the ancient Greek mathematician Pythagoras, who is credited with its discovery and proof. It has a wide range of applications in geometry, trigonometry, and other areas of mathematics and science.

By using Pythagoras' theorem, we get

\(sin 45=\frac{x}{16}\)

\(\frac{1}{\sqrt{2} }\) =\(\frac{x}{16}\)

\(x=8\sqrt{2}\)

\(cos 45=\frac{x}{16}\)

\(\frac{1}{\sqrt{2} }\)=\(\frac{y}{16}\)

\(y=8\sqrt{2}\)

So, the values of x and y are 8\(\sqrt{2}\)

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Answer:

D

Step-by-step explanation:

\(5(3x-2)=6\\15x-10=6\\15x=16\\x=\frac{16}{15}\)

Answer:

D.) 16/15

Step-by-step explanation:

To solve we must first distribute the 5 to everything that is inside the parenthesis. To do this we can multiply 5×3x = 15x     and      5×-2 = -10.We can then combine these new numbers and set them equal to 6.

5(3x-2) ---> 15x-10=6

From here we need to get the x on one side all alone. To do this we need to first move the -10. We can add 10 to both sides.

15x=6+10

Simplify...

15x=16

Then we can divide both sides by 15 to get x alone

x=16/15

Answer:

5 would be the midian

Step-by-step explanation:

You would need to add 0+2+4+6+8+10

Then count how many numbers there are (6)

Then put it in a fraction

30/6

Then divide and then you get 5

Answer:

21,67

Step-by-step explanation:

0+2+4+6+8+10 all divided by numbers in the set data[6]=21,67

Answer:

12 girls

Step-by-step explanation:

Boys to girls ratio= 1:2

Thats means there are (1+2) 3 total parts.

So \(\frac{36}{3}\)=12

Each part is 12 so

boys is 12*2= 24 boys

Girls id 12*1= 12 girls

Answer:

12

Step-by-step explanation:

Total number of students in class ⇒ 36

Given that,

The number of boys is twice the number of girls.

First, let us make an expression to find the number of girls.

For that, let the number of girls be x.

Number of girls ⇒ x

Number of boys ⇒ 2x

Total number of pupils ⇒ x + 2x

So,

x + 2x  = 36

3x = 36

Divide both sides by 3.

x = 12

Therefore, there are 12 girls and 24 boys in the class.

A. inequality that compares the temperatures of the two cities is: -2 > -6. B. inequality means city R, represented by -2 on the number line greater than the temperature of city S, represented by -6 on the number line. C.  city R is warmer than city S.

In mathematics, an inequality is a statement that compares two values or expressions and indicates that one is greater than, less than, or equal to the other. Inequalities are used to describe relationships between values that are not necessarily equal, and they are written using special symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

For example, the inequality 3x + 2 < 10 means that the expression 3x + 2 is less than 10. This inequality can be solved for x by subtracting 2 from both sides and then dividing by 3, yielding x < 2. This means that any value of x that is less than 2 will satisfy the inequality.

The inequality that compares the temperatures of the two cities is: -2 > -6

This inequality means that the temperature of city R, represented by -2 on the number line, is greater than the temperature of city S, represented by -6 on the number line. In other words, city R is warmer than city S.

On the number line, the further to the right a number is, the greater it is. Since -2 is to the right of -6, this indicates that -2 is greater than -6, which represents the fact that city R is warmer than city S.

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Answer:

3) 49*x^2*y^2

4) x

5) 1

6) 8

Step-by-step explanation:

3).  ( 7xy)^2

=. 7^2 * x^2 * y^2

= 49*x^2*y^2

4). x^3 / x^2

=  x

5). 7^0

=.  1

6). 8x^0

= 8

Answer:

1.78 min

Step-by-step explanation:

so first you have to figure out the fastest runner

pepe 12 miles in 4.5 minutes

and paula ran 34 miles in 7.5 minutes

if you divide miles by minutes you get how many miles they ran in one minute

12/4.5=~2.67

34/7.5=~4.53

So you can see that paula is faster

if she ran ~4.5 miles in a minute then it would take her ~1.78 minutes to run 8 miles

they're both super humans though like woah