I really need help with my math someone please help

I Really Need Help With My Math Someone Please Help

Answers

Answer 1

Answer:

∠ A = 56°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

2x + 3x + 40 = 180

5x + 40 = 180 ( subtract 40 from both sides )

5x = 140 ( divide both sides by 5 )

x = 28

then

∠ A = 2x = 2 × 28 = 56°


Related Questions

A solid glass sphere is cast with a diameter of 30 cm. find the volume of the sphere. please leave in terms of pi.
a. v = 20pie cm^3
b. v = 40pie cm^3
c. v = 4,500pie cm^3
d. v=14,137pie cm^3

Answers

Answer:

C

Step-by-step explanation:

Recall that the volume of a sphere is given by:

[tex]\displaystyle V = \frac{4}{3}\pi r^3[/tex]

Because the sphere has a diameter of 30 cm, its radius is 15 cm. Therefore, its volume is:

[tex]\displaystyle \begin{aligned} V & =\frac{4}{3}\pi(15\text{ cm})^3 \\ \\ & = \frac{4}{3}\pi(3375\text{ cm}^3) \\ \\ & = 4500\pi\text{ cm}^3 \end{aligned}[/tex]

In conclusion, our answer is C.

What is area of the figure?

Answers

Answer:

88

Step-by-step explanation:

In the figure below, lines p and q are parallel. What do you notice?
the options are alternate exterior,

alternate interior,

vertical, corresponding

and supplemantary.

Answers

What I notice about the lines p and q that are parallel is that they are both supplementary angles. Lines p and q are parallel because alternate exterior angles are congruent Lines l and m are parallel because same side interior angles are supplementary Lines l and m are parallel because alternate interior angles are supplementary

y varies inversely as x and y = 11 when x = 8. Determine the value of y when x = 16

22
5.5
17
34

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's get started ~

According to question :

[tex]\sf \dashrightarrow y \propto \dfrac{1}{x} [/tex]

[tex]\sf \dashrightarrow y = k\dfrac{1}{x} [/tex]

where, k = proportionality constant

Now, we have been given that when y = 11, x = 8

Let's plug these values in equation to find value of k ~

[tex]\sf \dashrightarrow 11 = k \cdot\dfrac{1}{8} [/tex]

[tex]\sf \dashrightarrow k = 11 \times 8[/tex]

[tex]\sf \dashrightarrow k =88[/tex]

we got the value of proportionality constant. now we have been asked to find the value of y when x = 16

So, let's use the equation ~

[tex]\sf \dashrightarrow y = k \cdot\dfrac{1}{x} [/tex]

[tex]\sf \dashrightarrow y = 88\cdot\dfrac{1}{16} [/tex]

[tex]\sf \dashrightarrow y = \dfrac{11}{2} [/tex]

[tex]\sf \dashrightarrow y = 5.5[/tex]

I hope you understood the whole procedure ~

suppose that there is a circular race track. Joseph takes 25 minutes to finish it and Owuor takes 35 minutes
to finish it. If both of them start running from the same point at the same time in the same direction, after
how many minutes will they meet for the first time on the starting point?

Answers

Answer:

They will cross the finish line together in 175 minutes.

Step-by-step explanation:

This question asks you to consider the 25 and 35 times table.

I listed the 25 and 35 times tables and tried to find the lowest common multiple.

You can see that on Josephs' 7th lap of the track he will cross the line simulatneously with Owuor who will be on his 5th lap.  So the answer should be 175 minutes.

25 × 1 = 25   35 × 1 = 35

25 × 2 = 50   35 × 2 = 70

25 × 3 = 75       35 × 3 = 105  

25 × 4 = 100   35 × 4 = 140

25 × 5 = 125   35 × 5 = 175

25 × 6 = 150     35 × 6 = 210

25 × 7 = 175

25 × 8 = 200

The circumference of a circle is approximately 43.96 centimeters. what is the radius of the circle? use 3.14 for radius.

Answers

Answer:

  7 cm

Step-by-step explanation:

The circumference of a circle is given in terms of its radius by the formula ...

  C = 2πr . . . . where r represents the radius

__

Using the given values in the formula, we can find the radius to be ...

  C/(2π) = r

  43.96/(2×3.14) = r = 7 . . . . cm

The radius of the circle is 7 cm.

A municipal trash facility allows a person to throw away a maximum of 40 pounds of trash per week. Last week, 195 people threw away the maximum allowable trash. How many tons of trash did this equal

Answers

The total tons of trash that was thrown away by the people is 3.9 tons.

How many tons of thrash was thrown away?

The first step is to convert pounds to tons

1 pound  = 0.0005 tons

40 x 0.0005 = 0.02 tons

The second step is to multiply 0.02 by 195

0.02 x 195 = 3.9 tons

To learn more about multiplication, please check: https://brainly.com/question/13814687

#SPJ1

your and friend got 20 frog and your friend caught 5 times more? how many did ur friend catch please explain

Answers

If you catch 3.33 frogs. Then the number of the frogs that were caught by your friend will be 16.67.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

You and your friend got 20 frogs and your friend caught 5 times more.

Let you catch x frogs. Then the number of the frogs that were caught by your friend will be 5x.

x + 5x = 20

     6x = 20

       x = 3.33

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

Let you caught x and friend caught 5x

Now

x+5x=206x=20x=20/6x=3.33

5x=16.67

please please help me i will give you a ton of points

Answers

Answer:

Step-by-step explanation:

(d). V ≈ 3016

S.A. ≈ 2261

Need help please answer ASAP!
25&26

Answers

Answer:

40° and 6

Step-by-step explanation:

25. Let's suppose the angles as 2x and 7x

Then,

2x + 7x = 180°

or, 9x = 180°

or, x = 180°/9

or, x= 20°

Now, 2x is smaller

So, 2x = 2× 20° = 40°

26. Solution,

Each exterior angle = 360°\n

or, 60° = 360°/n

or, 60°n = 360 °

or, n = 360°/60°

or, n=6

As, Hexagon has 6 sides.

#26

Any polygon has sum of exterior sides as 360°

No of sides

360/60=6

#25

Let the angles be 2x and 7x

2x+7x=1899x=180x=180/9x=20°

Smallest angle=2(20)=40°

Pete, Lulu and Liza are walking in the Boston downtown. Each time Pete takes 4
steps, Lulu takes 3 steps. Each time Lulu takes 5 steps, Liza takes 4 steps. If Liza
takes 120 steps, how many steps does Pete take?

Answers

If Liza takes 120 steps, then the number of steps taken by Pete will be 72.

What are a ratio and a proportion?

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.

Pete, Lulu, and Liza are walking in the Boston downtown. Each time Pete takes 4 steps, Lulu takes 3 steps. Each time Lulu takes 5 steps, Liza takes 4 steps.

Then the relation between is given as

4 Pete → 4 Lulu

5 Lulu → 4 Liza

Then we have

[tex]\rm \dfrac{5}{3} \times 4 \ Pete \rightarrow \dfrac{5}{3} \ Lulu \rightarrow 4 \ Liza[/tex]

If Liza takes 120 steps, then the number of the step taken by Pete will be

[tex]\rm \dfrac{5}{3} \times 4 \ Pete \rightarrow 4 \times 120 \\\\Pete \rightarrow 72[/tex]

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ1

Donna earns $1,404 per week at her job. However, 19% of her income gets taken out in taxes, and 12% of her income gets taken out and put into her retirement account. Which is a reasonable estimate of the amount Donna is left with each week after the money is deducted?

Answers

Answer:

About 969 dollars

Step-by-step explanation:

I kind of did it the long way. I divided $1,404 by 100 and multiplied by 19. Did the same thing with 12. Added the product of those together and subtracted from 1,404.

(1,404÷100)19 + (1,404÷100)12 = 435.24

1,404 - 435.24 = 968.76

Since it was an estimate I rounded it to the nearest whole number and got 969

Hope this helps. There are probably better methods to solve this problem but this was my way.

These points are linear. Find the slope.

Answers

Answer:

8

Step-by-step explanation:

Concepts

The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. These points represent the x- and y-coordinates of the points.

Application

To find the slope of these points, we need to take two points and use the aforementioned formula. Let's take (0, 8), and (1, 16).

Solution

[tex]\frac{(16)-(8)}{(1)-(0)}[/tex] [tex]\frac{8}{1}[/tex] [tex]8[/tex]

Therefore, the slope is 8.

Answer:

slope = 8

Step-by-step explanation:

Take 2 points from the given table:

[tex]\textsf{let}\:(x_1,y_1)=(0,8)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(-1,0)[/tex]

Use the slope formula to find the slope:

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-8}{-1-0}=\dfrac{-8}{-1}=8[/tex]

fully factorize

6xy-2x+3z-9zy

Answers

Answer:

(2x−3z)(3y−1)

Step-by-step explanation:
6xy-2x+3z-9zy
2x(2xy-1)+3z-9zy
2x(-1+3y)+3z(1-3y)

(2x−3z)(3y−1)

Will give Brainliest and a lot of points! :D

Which of the following expressions factors completely to 3(x + 5)²?

A. 3x² + 25
B. x² + 10x + 25
C. 3² + 75
D. 3x² + 30x + 75

Answers

Answer:

solution

here;

answer D

Step-by-step explanation:

3(x2+10x+25)

3(x^2 +2×5×x +25)3(x+5)^2
answer: 3x^2+30x+75 (choice D)

explanation: so 3(x+5)^2. distribute the power to both of the variable and number in the parenthesis. that will equal to 3(x^2+10x+25). now multiple the expression in the parenthesis, and you will get 3x^2+30x+75.

PLEASE ANSWER FAST
Thirteen earthquakes were measured using the Richter scale. Their magnitudes are listed below. What is the range for this data set?

8.2, 3.1, 5.9, 2.5, 6.2, 5.1, 7.6, 9.3, 8.1, 7.4, 7.8, 6.5, 8.7
A. 6.8
B. 2.6
C. 4.1
D. 5.6

Answers

The range is found by subtracting the smallest data value from the largest data value. Here, the smallest data value is 2.5 and the largest is 9.3. Therefore, the range is:

[tex]9.3 - 2.5 = 6.8[/tex]

Therefore, the answer is Option A.

Just for extra.

The variance:

1. The steps that follow are also needed for finding the standard deviation. Start by writing the computational formula for the variance of a sample:

[tex]{s^2}= \frac{{\sum}{x^2} - \frac{({\sum}{x})^2}{n}}{n-1}[/tex]

2. Create a table of 2 columns and 14 rows. There will be a header row and a row for each data value. The header row should be labeled with x and x^2. Enter the data values in the x column, with each data value in its own row. In the second column, put the square of each of the data values, x^2.

x     y

8.2 67.24

3.1 9.61

5.9 34.81

2.5 6.25

6.2 38.44

5.1 26.01

7.6 57.76

9.3 86.49

8.1 65.61

7.4 54.76

7.8 60.84

6.5 42.25

8.7 75.69

3. Find the sum of all the values in the first column, [tex]{\sum}{x}[/tex].

[tex]\sum{x} = 86.4[/tex]

4. Square the answer from step 3, then divide that number by the size of the sample.

[tex]\frac{({\sum}{x})^2}{n} = \frac{7464.96}{13} = 574.22769230769[/tex]

5. Find the sum of all the values in the second column, [tex]{\sum}{x^2}[/tex].

[tex]{\sum}{x^2} = 625.76[/tex]

6. Subtract the answer in step 4 from the answer in step 5.

[tex]{\sum}{x^2} - \frac{({\sum}{x})^2}{n} = 625.76 - 574.22769230769 = 51.532307692308[/tex]

7. Divide the answer in step 6 by n - 1, one less than the size of the sample. This answer is the variance of the sample.

[tex]{s^2}= \frac{{\sum}{x^2} - \frac{({\sum}{x})^2}{n}}{n-1} = \frac{ 51.532307692308 }{12} = 4.294358974359[/tex]

Standard Deviation

To find the standard deviation, first write the computational formula for the standard deviation of the sample.

[tex]{s}= \sqrt{\frac{{\sum}{x^2} - \frac{({\sum}{x})^2}{n}}{n - 1}}[/tex]

Take the square root of the answer found in step 7 above. This number is the standard deviation of the sample. It is symbolized by [tex]s[/tex]. Here, we round the standard deviation to at most 4 decimal places.

[tex]{s} = \sqrt{4023.0714285714} = 63.4277[/tex]

A researcher determined that the heights of male students in a particular town are normally distributed
with a mean of 65 inches and a standard deviation of 1.7. Use the graph above to answer the following
questions:
a. What percentage of these students is taller than 66.7 inches?
b. If the data are based on 300 students, how many students are between 61.6 and 68.4 inches tall?
Explain.

Answers

The 16% of these students are taller than 66.7 inches and 285 students are between 61.6 and 68.4 inches tall.

What is a normal distribution?

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We have:

Mean of 65 inches and a standard deviation of 1.7.

From the graph:

P(X> 66.7) = (13.5 + 2.35 + 0.15)%

P(X> 66.7) = 16%

P(61.6 < X < 68.4) = (13.5 +34 + 34 + 13.5)%  = 95%

= (300×95)/100

= 285 students

Thus, the 16% of these students are taller than 66.7 inches and 285 students are between 61.6 and 68.4 inches tall.

Learn more about the normal distribution here:

brainly.com/question/12421652

#SPJ1

Create and interpret tables.
ASSIGNMENT
y.=4x
Y2=422
Y3=4*
Complete the table for each function. Then
answer the questions that follow.
a=]; b=1; CE; d =
d=O
e=;f=
=
f=9=
DONE
0
0
0
1
1
4
a
b
2
С
16
d
3
e
f
g

Answers

Answer:

a = 16    b = 4    c = 8     d = 16

e = 12    f = 36   g = 64

Step-by-step explanation:

a.

Equation =   [tex]y_x = 4x^{2} \\x = 1\\y_1 = 4(1)^{2} \\y_1 = 4^{2} \\y_1 = 16 \\[/tex]

b.

Equation:      [tex]y_x = 4^{x} \\x = 1\\y_1 = 4^{1}\\y_1 = 4[/tex]

c.

Equation:      [tex]y_x = 4x\\x = 2\\y_2 = 4(2)\\y_2 = 8[/tex]

d.

Equation:      [tex]y_x = 4^{x}\\x = 2\\y_2 = 4^{2}\\y_2 = 16[/tex]

e.

Equation:      [tex]y_x = 4x\\x = 3\\y_3 = 4(3)\\y_3 = 12[/tex]

f.

Equation:      [tex]y_x = 4x^{2} \\x = 3\\y_3 = 4(3)^{2} \\y_3 = 4(9)\\y_3 = 36[/tex]

g.

Equation:      [tex]y_x = 4^{x}\\x = 3\\y_3 = 4^{3}\\y_3 = 64[/tex]

The missing values for the function are

a= 4

b=4

c=8

d=16

e=12

f= 36

g=64

What is Function?

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable.

We have the table for three function.

Now, to find the following we have find the rate of change.

Function 1 : y= 4x

At x = 2 ; y= 8

At x= 3; y= 12

Function 2: y= 4x²

At x =1 ; y= 4

At x= 3; y= 36

Function 3 : y= [tex]4^x[/tex]

At x =1 ; y= 4

At x = 2 ; y= 16

At x= 3; y= 64

Learn more about Function here:

https://brainly.com/question/12431044

#SPJ5

A pizza has a diameter of 12in what is the Circumference

Answers

The Awnser: 37.6991 (c)

You invest $2000 compounded monthly at 9%, how much money do you have in 10 years?

Answers

Answer: The final balance is $4,734.73

In a certain Algebra 2 class of 26 students, 21 of them play basketball and 7 of them play baseball. There are 2 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{21}{26}*\frac{7}{26}\\ =\frac{147}{676}[/tex]

The probability of students who plays both basketball and baseball is 2/13

What is Set Theory Formula?

The set formula is given in general as n(A∪B) = n(A) + n(B) - n(A⋂B), where A and B are two sets and n(A∪B) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.

Given data ,

Let the number of students who plays basketball and baseball = n ( A ∩ B )

Let the number of students who plays basketball be = n ( A )

The value of n ( A ) = 21

Let the number of students who plays baseball be = n ( B )

The value of n ( B ) = 7

Now , 2 students does not play any sports out of the 26 students

So , n ( A ∪ B ) = 26 - 2

n ( A ∪ B ) = 24

Now , from the set theory formula ,

n(A∪B) = n(A) + n(B) - n(A⋂B)

Substituting the values in the equation , we get

24 = 21 + 7 - n ( A ∩ B )

Adding n ( A ∩ B ) on both sides , we get

n ( A ∩ B ) + 24 = 28

Subtracting 24 on both sides , we get

n ( A ∩ B ) = 4

So . the number of students who plays both basketball and baseball = 4

And , the probability that the student chosen plays both basketball and baseball = number of students who plays both basketball and baseball / Total number of students

Probability that the student chosen plays both basketball and baseball
= 4 / 26

= 2 / 13

Hence , The probability of students who plays both basketball and baseball is 2/13

To learn more about set theory formula click :

https://brainly.com/question/26397859

#SPJ2

simplifying question

Answers

Answer:

Step-by-step explanation:
1 - Distribute (Parentheses mean multiplication)
3 (x + 6) ⇒ 3x + 18
5 (x + 7) ⇒ 5x + 35
8 (x + 4) ⇒ 8x + 32
6 (x - 10) ⇒ 6x - 60

This is for AP CALCULUS. I really need help on this. I’m trying to find the first and second derivative of these three functions.

Answers

Review Material:

[tex]\sqrt[n]{x^m} = x^{\frac{m}{n}}[/tex]

[tex]\frac{d}{dx}[x^n]=nx^{n-1}\\[/tex]

[tex]\frac{d}{dx}[\sin(x)]=\cos(x)\\[/tex]

 [tex]\frac{d}{dx}[\cos(x)]=-\sin(x)\\[/tex]

[tex]\frac{d}{dx}[constant]=0\\[/tex]

Step-by-step explanation:

(a)

[tex]F(x) = -2\cos(x) +x^{\frac{4}{3}} -3e\\ \text{Note: 3e is a constant}\\F'(x) = 2\sin(x) + \frac{4}{3}x^{\frac{1}{3}}\\F''(x) = 2\cos(x) + \frac{4}{9}x^{-\frac{2}{3}}[/tex]

(b)

[tex]F(x) = x^{-3} + \frac{1}{2}x^2-\sin(x)\\F'(x)=-3x^{-4} + x - \cos(x)\\F''(x) = 12x^{-5} + 1 + \sin(x)[/tex]

(c)

[tex]F(x) = 2x^{-3}+x^{\frac{3}{4}}-4x\\F'(x) = -6x^{-4} + \frac{3}{4}x^{-\frac{1}{4}}-4\\F''(x)= 24x^{-5} - \frac{3}{16}x^{-\frac{5}{4}}[/tex]

PLEASE HELP ME OUT PLEASEEEE

Answers

Answer:

I hope you know what a rectangle is, but it is true.

Step-by-step explanation:

graph of a function, f(x), has zeros at - 3, and 5. Which of
following is a factor of f(x)?
(2x - 3)
(2x + 3)
(3x + 2)
(x + 5)



Answers

The function is a quadratic function, and none of the given options is a factor of the graph of the function

How to determine the factor?

The zeros of the function are given as:

-3 and 5

This means that:

x = -3 and x = 5

Rewrite as:

x + 3 = 0 and x - 5 = 0

Multiply both equations

(x + 3)(x -5) = 0 * 0

This gives

(x + 3)(x -5) = 0

Express as a function

f(x) = (x + 3)(x -5)

The above means that the factors of the function are (x + 3) and (x -5)

Hence, none of the given options is a factor of the graph of the function

Read more about factors at:

https://brainly.com/question/723406

#SPJ1

The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0

Answers

Length be x

width be x-5

So

Area=Length×Breadth

x(x-5)=750

Or

If x turned y

y(y-5)=750750-y(y-5)=0

Option C

Option A can be true as per commutatI've property

y²-5y=750

Option B is true

Answer:

y² - 5y = 750

750 - y(y - 5) = 0

(y + 25)(y - 30) = 0

Step-by-step explanation:

Formula

Area of a rectangle = length × width

Given:

y = length of the room(y - 5) = width of the room750 ft² = area of the room

Substituting the given values into the formula and rearranging in different way:

Equation 1

⇒ 750 = y(y - 5)

⇒ y(y - 5) = 750

⇒ y² - 5y = 750

Equation 2

⇒ 750 = y(y - 5)

⇒ 750 - y(y - 5) = 0

Equation 3

⇒ 750 = y(y - 5)

⇒ y(y - 5) - 750 = 0

⇒ y² - 5y - 750 = 0

⇒ y² - 30y + 25y - 750 = 0

⇒ y(y - 30) + 25(y - 30) = 0

⇒ (y + 25)(y - 30) = 0

pls help i beg you!

A plumber charges a flat fee of $79 to visit a home and examine a clogged drain. The plumber charges an additional $24 per hour spent fixing the drain. The total cost, C (in dollars), for fixing a drain that takes H hours is given by the following.

c=79+24h

Answer the following questions.

(a)
What is the total cost for fixing a drain that takes 7 hours?
$?
(b)
If the plumber charged a total of $343, how many hours did he spend fixing the drain?
?hours

Answers

Answer:

for "A" the answer is 247$

For "B" the answer 11 hours

Step-by-step explanation:

Malik randomly selects 60 students at Williams High School about their favorite flavor of milkshake. Of the students selected, 24 identified chocolate as their favorite milkshake. There are 1,990 students at Williams High School. Based on the data, what is the most realistic estimate for the number of students at Williams High School whose favorite ice-cream is Chocolate? A. 60 Students, B. 796 Students, C. 1,194 Students, or D. 1,400 Students?

Answers

Answer:

B

Step-by-step explanation:

The answer is B as this is a simple ration question.

All you need to do is convert the question into ration fraction form:

24/60 =x/1990

x is the number of people whose favourite ice-cream is chocolate.

Do cross multiply on both sides and you will get 47760=60x.

x= 796.

Thus, you get your answer.

If h(x) = |2x−6| -2, then what is h(-1)

Answers

Answer:

[tex]h(-1)[/tex] [tex]-h[/tex]

Please solve this for me

Answers

Answer: Trapezium

Detailed Explanation:

A quadrilateral in which only one pair of opposite sides are parallel is called a Trapezium. This is one of the basic properties of a Trapezium.
Other Questions
who is exempt from hipaa security rule If A'B' is 8 find the length of AB. If angle B is 40 degrees what is the measurement of B'? If angle A is 80 degrees what is the measurement of A'? Using AA what is the measurement of angle C? A. which group of words, if inserted at the beginning of sentence 26, would best integrate the long quotation more smoothly into the paper? because convention participants wanted to make men take notice of women, b. along with this strong statement of equality between men and women, c. since elizabeth stanton wrote the document, she was in a position to demand that d. even though this was outright plagiarism of the declaration of independence, Find the value of x. Round your answer to the nearest tenth a birthday cake is divided equally between 9 people what fraction of the cake does each person have? What is the value of the expression 1/2 divided by 6 He is going to the play; (therefore/since), he must leave early.a. thereforeb. sincePlease select the best answer from the choices provided OB The G.C.D of the three number and their L.C.M is 900. Two of the number are 60 and 150. what are the other possible numbers I came down radiant, light-hearted; I bounded like a pebble rolling down a rapid slope. When she saw me, she said,"What is it?"I did not answer; my eyes were moist. The night before, Pauline had understood my sorrows, as she now understood my joy, with the magical sensitiveness of a harp that obeys the variations of the atmosphere. Human life has glorious moments. Together we walked in silence along the beach. The sky was cloudless, the sea without a ripple; others might have thought them merely two blue surfaces, the one above the other, but wewe who heard without the need of words, we who could evoke between these two infinitudes the illusions that nourish youth,we pressed each other's hands at every change in the sheet of water or the sheets of air, for we took those slight phenomena as the visible translation of our double thought. Who has never tasted in wedded love that moment of illimitable joy when the soul seems freed from the trammels of flesh, and finds itself restored, as it were, to the world whence it came? Are there not hours when feelings clasp each other and fly upward, like children taking hands and running, they scarce know why? It was thus we went along.How does the setting help to establish the tone of the passage? Do paintings from different eras seem to express different ideas and feelings about what is important to the people of that period? Explain. Which statement could be supported by the graph?Time versus Population Density Grapha. The number of frogs will decrease in response to an increase in the fly population.b. The number of grasshoppers will increase in response to an increase in the bird population.c. The number of coyotes will decrease in response to an increase in the rabbit population.d. The number of hawks will decrease in response to a decrease in the mice population. Which is Greater, negative 2 and 2 fifths or negative 2 and 1 forth? What is the design that examines the effects of region of residence (e.g., northeast, south, midwest, and west) and income (i.e., low, medium, and high) Which of the following are true? Select all that apply.1. 9 m = 9000 mm2. 8 km = 8000 m3. 10 cm = 100 mm4. 890 cm = 8900 m5. 2000 m = 20 km6. 4 m = 40 cm Part AWhat is a theme in the scene from Pygmalion?A. For some people, good manners are impossible to learn.B. A solid education guarantees that one will be successful. C. With a willingness to learn, one can improve one's position in life. D. People in positions of authority have the most to teach others.Question 2Part BWhich detail from the scene best supports the answer in Part A?A. "A lady friend of mine gets French lessons for eighteenpence an hour from a real French gentleman. Well, you wouldn't have the face to ask me the same for teaching me my own language as you would for French..."B. "She offers me two-fifths of her day's income for a lesson. Two-fifths of a millionaire's income for a day would be somewhere about 60 pounds. It's handsome."C. "I want to be a lady in a flower shop stead of selling at the corner of Tottenham Court Road. But they won't take me unless I can talk more genteel."D. "Good enough for yeoo. Now you know, don't you? I'm come to have lessons, I am. And to pay for em too: make no mistake." The vertical number line in a Cartesian coordinate system is called a what? Match each term with its definition.Vocabulary wordsariddesalinationimposescarceDefinitionsthe removal of salt from watervery dryestablishvery small in quantity Which program did president kennedy establish to help other nations? the warren commission the mercury program the gemini program the peace corps i need help with this question please _____ drives are storage drives that contain both solid-state storage and hard disks in an attempt to gain the speed and power of ssds while still having the low cost and storage capacity of hard drives.