The top of Mount Romero is 123.5 feet above sea level. The bottom of Mount Romero is 32.7 feet below sea level. What is the distance between the top and bottom of the mountain?

Answer:

[tex]y = 50x[/tex]

Step-by-step explanation:

Let's start off by trying to find the slope/gradient (commonly denoted as [tex]m[/tex]) of this function

[tex]m = \frac{\Delta y}{\Delta x}[/tex]

This means we divide the change in y over the change in x

Let's pick, for example, x = 3 (who's corresponding y is 150) and x = 4 (who's corresponding y is 200)

[tex]m = \frac{200 - 150}{4 - 3}\\\\m = 50[/tex]

Now we have this:

[tex]y = 50x+b[/tex]

Let's plug in a random value of x and y from this function in order to find b. I'll pick x = 2:

[tex]100 = 50\cdot 2 + b\\100 = 100 + b\\b = 0[/tex]

Since b is 0, we don't have to write it on our equation, meaning that our final equation is just

[tex]y = 50x[/tex]

To verify this, let's say we didn't know the value of y when x is equal to 4 and all we had was that equation:

[tex]y = 50\cdot 4\\y = 200[/tex]

Just like it is on the graph :)

Good luck!

Answer:

i can't make the line becaause of mobile problem but i have maked a table please compromis

Step-by-step explanation:

Table 1

Marks Frequency Cumulative Frequency

0-10 2 2

10-20 8 10

20-30 12 22

30-40 18 40

40-50 28 68

50-60 22 90

60-70

70-80 6

4 96

100

Table 2

Class (marks ) Frequency

11-15 2

16-20 3

21-25 3

26-30 5

31-35 6

36-40 6

41-45 3

46-50 2

Total 30

Table 3

Time (in min) Frequency

15 7

20 15

25 17

30 3

35 14

40 2

Table 4

31 42 49 25 29

40 36 24 29 30

40 46 38 34 26

24 22 39 40 21

Answer:

X=-9

Step-by-step explanation:

Answer:

x = -9

Step-by-step explanation:

Answer:

(b) 6

Step-by-step explanation:

Because QS and PR are perpendicular, The line QS passes through the line PR. Therefore, we can subtract PS from PR.

8-2=6

Answer:

uepwphdohdohdq

Step-by-step explanation:

annyqjlxyogqoyhakvykblyabl,lbaylbaoyhoqhshyvjbaxvleoqo

Answer:

32 has exponent of 3

55 has exponent of 2

Step-by-step explanation:

Answer:

i think b is you're answers

Answer:

C

Step-by-step explanation:

The general form of a polynomial expression is

[tex]a_{n}[/tex][tex]x^{n}[/tex] + [tex]a_{n-1}[/tex][tex]x^{n-1}[/tex] + [tex]a_{n-2}[/tex][tex]x^{n-2}[/tex] + ............ + a₁[tex]x^{1}[/tex] + a₀

For the given polynomial the [tex]x^{n}[/tex] term is - [tex]x^{13}[/tex] , that is n = 13 , thus

n - 7 = 6 , that is the [tex]x^{6}[/tex] term

with [tex]a_{n-7}[/tex] being its coefficient

Since there is no [tex]x^{6}[/tex] term, then its coefficient is zero, that is

[tex]a_{n-7}[/tex] = 0 → C

9514 1404 393

Answer:

Step-by-step explanation:

1. A point on a graph is a maximum if there are no points on the graph that are higher.

A point on a graph is a minimum if there are no points on the graph that are lower.

Sometimes you're interested in a "local" maximum or minimum. In that case, the "no points higher/lower" rule refers to points in the immediate vicinity of the one of interest.

Sometimes you're interested in a maximum or minimum on an interval. In that case, the rule applies to points contained within the interval. (The maximum or minimum may be at the end of the interval.)

__

2. Average rate of change is defined over some interval. That is, you are given the end points of the interval of interest. The average rate of change is the slope of a straight line between those end points. The slope formula applies:

  [tex]m=\dfrac{y_2-y_1}{x_2-x_1} \quad\text{where the end points of the interval are $(x_1,y_1)$ and $(x_2,y_2)$}[/tex]

[tex]\qquad\bullet\quad {:}\dashrightarrow\rm \sqrt [2]{1845}}[/tex]

[tex]\qquad\bullet\quad {:}\dashrightarrow\rm\sqrt [2]{1845}[/tex]

[tex]\qquad\bullet\quad {:}\dashrightarrow\rm sqrt[345]{2096}[/tex]

fraction rules

[tex]\boxed{\begin{minipage}{6 cm}\bf{\dag}\:\:\underline{\textsf{Fraction Rules :}}\\\\\bigstar\:\:\sf\dfrac{A}{B} + \dfrac{B}{C} = \dfrac{A+B}{C} \\\\\bigstar\:\:\sf{\dfrac{A}{B} - \dfrac{B}{C} = \dfrac{A-B}{C}}\\\\\bigstar\:\:\sf\dfrac{A}{B} \times \dfrac{C}{D} = \dfrac{AC}{BD}\\\\\bigstar\:\:\sf\dfrac{A}{B} + \dfrac{C}{D} = \dfrac{AD}{BD} + \dfrac{BC}{BD} = \dfrac{AD+BC}{BD} \\\\\bigstar\:\:\sf\dfrac{A}{B} - \dfrac{C}{D} = \dfrac{AD}{BD} - \dfrac{BC}{BD} = \dfrac{AD-BC}{BD}\\\\\bigstar \:\:\sf \dfrac{A}{B} \div \dfrac{C}{D} = \dfrac{A}{B} \times \dfrac{D}{C} = \dfrac{AD}{BC}\end{minipage}}[/tex]

Answer:

A- 16 songs a day

B- 32 songs in the weekend

Step-by-step explanation:

A- if she songs "jingle bells" 5 times, the sings"silver bells" twice as many times, that would just be like multiplying  5 x 2, which equals 10, then add the 5 times she sings jingle bells, that would be 15. then she sings "silent night" one time which adds on to the other songs to get 16 songs a day

B- the weekend has 2 days in it so you would just multiply 16 x 2 which gives you 32

Answer:

The band must sell at least 113 tickets to make a net profit of at least $ 1,925.

Step-by-step explanation:

While the band charges $ 25 for each entrance ticket to their performances, and the venue charges them $ 900 for the use of the place, the number of tickets that must be sold for the band to obtain a profit of at least $ 1,925 arises from the following calculation:

1,925 + 900 = Costs plus profit

2,825 / 25 = Number of tickets needed to cover costs and profit

113 = Number of tickets needed to cover costs and profit.

Therefore, the band must sell at least 113 tickets to make a net profit of at least $ 1,925.

Answer:

7560

Step-by-step explanation:

view picture

Answer:

Answer is B

Step-by-step explanation:

y = -1

Step-by-step explanation:

The slope of the line is -4/7.

Answer:

..............................

Answer:

x= 1

Step-by-step explanation:

Solve

Let's solve your equation step-by-step.

4x−2=2x

Step 1: Subtract 2x from both sides.

4x−2−2x=2x−2x

2x−2=0

Step 2: Add 2 to both sides.

2x−2+2=0+2

2x=2

Step 3: Divide both sides by 2.

2x

2

=

2

2

x=1

Answer:

Use DESMOS graphing calculator

Here's the picture for the answer.

Hope this helped :)

Answer:

Terms: -8, -4c, 7, -c, -12c, -2

Variables: c

Coefficients: -4, -1, -12

Constants: -8, 7, -2

Step-by-step explanation:

Terms are anything in between a plus or minus.

Variables are anything that is not a real number, such as c.

Coefficients are the number directly before a variable, such as -4 in -4c.

Constants are any real numbers without a variable, such as -8.

Answer:

580 +70 which is 650

Step-by-step explanation:

add

Answer:

115.2

Step-by-step explanation:

Answer: 115.2

Step-by-step explanation:

What is 24% of 480?

Y is 24% of 480

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 24% * 480

Converting percent to decimal:

p = 24%/100 = 0.24

Y = 0.24 * 480

Y = 115.2

Answer:

2 : 1

Step-by-step explanation:

Recipe :

Sugar = 2 cups

Flour = 3 cups

Butter = 1 cup

Chocolate chips = 1/2 cup

ratio of flour and butter to sugar?

Total cups of flour plus butter = (3 + 1) = 4 cups

Cups of sugar = 2 cups

ratio of flour and butter to sugar :

4 cups : 2 cups

= 2 : 1

Answer:

once you place your coordinates go to the pencil looking thing if on kami if not and on docks go to tools and click scribble

Step-by-step explanation:

Answer:

Answer is 33.75

Step-by-step explanation:

Answer:

The height of water in the container is 5 cm

Step-by-step explanation:

Here, we want to calculate the height of the water in the container

Mathematically, the volume is :

50 * 30 * h = 1500h cm^3

Also, 7.5 L = 7500 cm^3 = 7.5 L

Let the height be h

1500h = 7500

h = 7500/1500

h = 5 cm

Answer:

13.44

Step-by-step explanation:

she is right...........

Answer:

The correct unit price is $1.12 per pair. The error comes from dividing $67.20 by only 5 pairs (instead of 60 pairs).

Step-by-step explanation:

The contractor should have calculated the unit price as $67.20 divided by 60 pairs. Five dozen pairs is 5x12=60. This results in $67.20/60=$1.12 per pair. The error comes from dividing $67.20 by only 5 pairs (instead of 60 pairs).

Answer:

i think it`s the first one

Step-by-step explanation:

Answer:A

Step-by-step explanation:

The player runs 5 meters forward, and then runs 5 meters in the opposite direction.

pls mark as brainliest hope you have a nice day!

Answer:

hope it would help you

Step-by-step explanation:

the ans should be A

mark my ans as BRAIN LIST

Answer:

4 years old

Step-by-step explanation:

His sister is x years old.

Gary is 1 year less than 3 times her age, so his age is

3x - 1

His age is 11, so we can write an equation.

3x - 1 = 11

Add 1 to both sides.

3x = 12

Divide both sides by 3.

x = 4

Answer: She is 4 years old.

Answer:

4

Step-by-step explanation:

Answer:

4/15 was left over from is salary.

Step-by-step explanation:

Common denominator is 15. 5/15+6/15= 11/15.

15/15-11/15= 4/15.

If Mr Hassan spent 1/3 of his salary on food and 2/5 of the remainder on transport then 4/15  fraction of his salary was left.

A fraction represents a part of a whole.

Let us consider the salary of Hassan as 1.

Mr Hassan spent 1/3 of his salary on food

2/5 of the salary on transport.

We need to find the fraction of his salary left.

We need to subtract 1/3 and 2/5 from 1

1-1/3-2/5

LCM of 3 and 5 is 15

15-5-6/15

4/15

Hence, 4/15 is the fraction of Hassan salary was left

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ2

Step-by-step explanation: 30:90 = 10:30 =1:3 = 1/3

Answer:

40.5 inches

Step-by-step explanation:

15.2*2+5.05*2=30.4+10.1=40.5