Mathematics High School


In the city of Carmen, there is a drawbridge that is opened twice per hour over the summer. The graph below shows the number of feet that the top of the bridge was above the water versus the amount of minutes that the
drawbridge was open

In The City Of Carmen, There Is A Drawbridge That Is Opened Twice Per Hour Over The Summer. The Graph

Answers

Answer 1

Answer:

1) Between 0 and 1 minute the rate of change is 25 ft./min

2) Between 1 and 2 minute the rate of change is 0 ft./min

3) Between 2 and 4 minute the rate of change is -12.5 ft./min

Step-by-step explanation:

1) Between 0, and 1 feet, we have;

The rate of change = (Final height - Initial height)/(Final time - Initial time)

The rate of change = (40 - 15)/(1 - 0) = 25 ft/min

Between 0 and 1 minute the rate of change = 25 ft./min

2) Between 1, and 2 feet, we have;

The rate of change = (40 - 40)/(2 - 1) = 0 ft/min

Between 1 and 2 minute the rate of change = 0 ft./min

3) Between 2, and 4 feet, we have;

The rate of change = (15 - 40)/(4 - 2) = -12.5 ft/min

Between 2 and 4 minute the rate of change = -12.5 ft./min

Related Questions

Which expression is equivalent to
8(3x+4w)

Answers

Answer:

24x+32w

Step-by-step explanation:

24x+32w is the answer I think

What is the first step in solving this expression? 28 - 11 + 6 ● 3 + 5

Thanks,

Answers

Answer:

First Step of solving this expression: Multiply

Answer for the expression: 40

Step-by-step explanation:

To find the first step you need to follow the order of operation

Parenthesis

Exponents

Multiplication and Division

Addition and Subtraction

Since there are not Parenthesis or Exponents then you may skip that step but there is a multiplication sign so the first step is Multiplication

To solve multiply 6 and 3

Which is 18

Now the expression looks like this:

28-11+18+5

Now simplify from left to right:

28-11=17

17+18=35

35+5=40

Hope this helps!

Answer: Multiply 6*3, then add 18+5, then subtract 28-11, then add them:

17 + 23 = 40!

Step-by-step explanation: PEMDAS:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Pregunta En cierto supermercado, Monica pagó $ 3,20 por 2 libras de manzanas y 2 libras de naranjas, mientras que Sarah pagó $ 4,40 por 2 libras de manzanas y 4 libras de naranjas. A estas tarifas, ¿cuál es el costo, en dólares, de 3 libras de naranjas?

Answers

Answer:

Step-by-step explanation: 14.2

The cost price of a washing machine is $15,480 if the selling priceis $17,000 what is the profit or loss

Answers

Answer:

profit

Step-by-step explanation:

the actual price is 15 480 and the seller sold it for 17 000

which he made a profit of 1520

how do you find the slope, I really need help.

Answers

Answer:

-1/10

Step-by-step explanation:

its down 1 and right 10 so you know the slope is -1/10

(can I get brainliest please)

The answer is b. The rise is 1 and the run is 10

Let x=
-
11
8
and y=
11
4
0
Which expression has a negative value?
Copyright 2017 Open Up Resources
Select one
OA. x+y
OB. xy
OC. x.y
OD. x/y

Answers

Answer:

OD. x/y

Step-by-step explanation:

Mrs.Stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. How old is Mrs.Stone now, if 9 years ago Alex was two times okder than Joyce? Mrs.Stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. How old is Mrs.Stone now, if 9 years ago Alex was two times okder than Joyce?

Answers

Answer:

54 years

Step-by-step explanation:

Joyce age = x

Alex age = y

3x = 2y - - - (1)

y - 9 = 2(x - 9)

y - 9 = 2x - 18

-9 + 18 = 2x - y

9 = 2x - y

y = 2x - 9 - - (2)

3x = 2y

3x = 2(2x - 9)

3x = 4x - 18

18 = 4x - 3x

18 = x

Hence,

Mrs stone is 3 * 18 = 54 years

Jessica rented a truck to move into another apartment. The rental charge is $140 per day plus $0.35 per mile. Write an equation to determine x, the number of miles she can drive the truck if the cost is y.

Answers

Answer:

y=0.35x+140

Step-by-step explanation:

Step one:

given data

The rental charge is $140 per day

additional charges per mile driven = $0.35 per mile

Step two:

Required

The expression for the total charges

let the number of miles be x, and the total charges be y

the expression for the total charges is

y=0.35x+140

Fiona can make 8 cards in 12 hour. She divides to find the number of cards she can make per hour, but she makes a mistake. Three of these reasons explain why her answer must be wrong. Which does NOT?

Answers

Answer:

2/3 card per hour

Step-by-step explanation:

The correct calculation is given below

The number of cards she can make per hour is :

12 hours = 8 cards

1 hour = x cards

Cross Multiply

12 hours × x cards = 8 cards × 1 hour

x cards = 8 cards × 1 hour/12 hours

x cards = 2/3 card

She can make 2/3 card per hour

Answer:

a

not C B D   A

Step-by-step explanation:

What is the slope of the line that passes through the points (-10, –4) and (10, -29)? Write your answer in simplest form. Answer: Submit Answer undefined attempt i out of​

Answers

Answer:

-5/4

Step-by-step explanation:

11. $1.44 for 12 pencils

Answers

Answer:12 cents per pencil

Step-by-step explanation:

1.44/12

12 cents each
Djdjdjdkdkdkd



What is the equation of the line in slope-intercept form?

Answers

Answer:

y=6-5

Step-by-step explanationy

Does anyone understand this?

Answers

Answer:

C

Step-by-step explanation:

What’s the slope of the perpendicular line that passes through (-1, 12) and (-6, 18).

Answers

Answer:

[tex]m=-\frac{6}{5}[/tex]

Step-by-step explanation:

Anyone know how to do this??

Answers

Answer:

no

Step-by-step explanation:

97.8 to the nearest tenth.

Answers

Answer: it is already rounded to the

If you mean the nearest tenths then the answer is 97.8 but if you mean the nearest tens then the answer is 100 hope this helps :)

Step-by-step explanation:

easy math please help

Answers

A and D
Explanation: I did this problem in khan academy

Answer:a and d

Step-by-step explanation:

10x^3-35x^2 please help me

Answers

Answer:

5x^2(2x-7)

Step-by-step explanation:

Hope this helps!

Hi Someone plz help me ty have a great day.plz see the picture

Answers

Answer:

Your answer is 34 1/2, have a great day and happy holidays!

Step-by-step explanation:

Answer:

34 1/2

if you use the distributive property and multiply 11×3 you would get 33 then multiply 1/2×3 you get 3/2 or 1 1/2 then add 33+1 1/2 and you get 34 1/2. hope this helped.

URGENT! TIMED QUESTION, WILL GIVE BRAINLIEST!

The height of a punted football is modeled by the following quadratic function:
h(t) - -5t2 . 40
where the height is measured in meters after t seconds.
+
a. How many seconds will it take the ball to hit the ground?
c. What is the maximum height of the ball?

Answers

Answer:

Step-by-step explanation:

Part a

When the ball hits the ground  it has covered the height of zero meters so we replace h(t) with zero

[tex]h(t)=-5t^2+40t\\0=-5t^2+40t\\40t-5t^2=0\\5t(8-t)=0\\5t=0 \ \ \ , \ \ \ 8-t=0\\t=0 \ \ \ , \ \ \ t=8\\[/tex]

So it will take 8 seconds for the ball to hit the ground we another value

t = 0 seconds is when the ball was thrown and after 8 seconds the balls hits the ground

Part c

The ball reaches its maximum height when the velocity is zero.

So as this functions represents the displacement of the ball h(t) we differentiate it to get the velocity equation, so we differentiate h(t) with respect to t.

[tex]v=-10t+40[/tex]

so now we replace the velocity which is v with a zero because the ball reaches its maximum height when the velocity is zero.

[tex]0=-10t+40\\10t=40\\t=40/10\\t=4[/tex]

so now we insert the value of t = 4 into the equation of h(t) to get the height.

[tex]h(t)=-5t^2+40t\\h(4)=-5(4)^2+40(4)\\h(4)=-80+160\\h(4)=80\\[/tex]

so the maximum height of the ball is 80 meters.

Part d

The y-intercept of the graph is zero, and it represents that there is no initial height covered by the ball or the ball is actually thrown from already a height of x meters, as we can see from the equation the y-intercept is zero which means the height covered by the ball is 0 meters when time is zero.

So the point is actually at the Origin (0 , 0).

Part e

We can see that the origin (0 ,0) and (8,0) are the x-intercepts of the graph as  solved from part A

We can see that the stationary point or the maximum point is at (4,80) which means the maximum height of the ball is 80 meters when the time is 4 seconds as solved in part C

Graph attached.

Determine if the function is even, odd, or neither.

Answers

Answer:

Even

Step-by-step explanation:

I think that it's even because the graph is reapeted, if it's odd, it's going to be like x^3

try it on desmos

even the ends of the waves are heading the same direction(up) if its odd one will be(one up and one down) even(both up/both down)

Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.

Answers

Answer:   B) 3

Explanation:

Start at a point like (0,2) which is on the blue f(x) line.

Move upward until you reach the red g(x) line. You should move up 3 units. Every point on f(x) follows the same pattern to land on a corresponding point on g(x). Therefore, this moves the entire blue line up 3 units.

This leads to k = 3

So g(x) = f(x) + 3

Answer: 3

Step-by-step explanation: This is because I took the test and because if you look at the graph its on 5 and 2. An easy way to look at it is what is 5-2 but you'd have to figure out what the answer was first. Between 5 and 2 is 3. Hope this helped!

Which statement best describes parallel lines?


Parallel lines intersect at exactly one point.

Parallel lines intersect at exactly one point. ,

Parallel lines intersect infinitely many times.

Parallel lines intersect infinitely many times. ,

Parallel lines have equal slopes.

Parallel lines have equal slopes. ,

Parallel lines have negative reciprocal slopes.

Answers

Answer:

Step-by-step explanation:

Parallel lines have identical slopes and different y intercepts.

y = 3x + 2

y = 3x + 9

These lines are parallel with the same slopes (3) and different y intercepts (2 and 9)

I need help with this to

Answers

Answer C is correct.

Explanation:

Let X = -2 and Y = 10

Y = -3x + 4
10 = -3*(-2) + 4
10 = 10

Which checks out.
C is correct hope this helps <3

Giving BRAINLESS TO THE CORRECT ANSWER

Answers

Answer:

-16?

Step-by-step explanation:

the correct answer  i

- 16

During the school day, you spend 2 hours in math, 1 hours in science, 2 hours in ELA and 1 hour in art and 2 hours at a friends house studying for your math tests. What percent of the time do you spend at your friend's house studying for your math tests?

Answers

Answer:

Step-by-step explanation:

More than two hours of homework may be counterproductive, research suggests. GSE scholar Denise Pope finds that students in high-achieving schools who spend too much time on homework experience more stress and health problems. ... Students in these schools average about 3.1 hours of homework each night

Which expression is equivalent to 8x - 12y + 32?

A. 16(0.5x 4y +32)
B. 16(0.5x - 0.75y + 32)
C. 16(0.5x - 0.75y + 2)
D. 16(0.5x + 4y +2)

Answers

Answer:

It's the third

16(0.5x - 0.75y +2)

Step-by-step explanation:

You just divide everything by 16

8x/16= 1/2x=0.5x

-12y/16 = -3/4x=-0.75x

32/16=2

Hope this helps, have an amazing day ^_^

Please help brainliest if correct

Answers

Answer: H

Step-by-step explanation:

7% of 21 is 1.47

Answer:

H. 1.47$ tax

Step-by-step explanation:

price of pants is 21 plus 7 percent tax

21/100=0.21

0.21 is 1 percent multiply by 7

1.47 dollars tax

what is (3x² + 5x - 9) + (7x² + 2x + 10)?
I will give brainiest to the answer with step-by-step explanation :

Answers

Answer:

10x^2+7x+1

Step-by-step explanation:

Let's simplify this step-by-step.

3x^2+5x−9+7x^2+2x+10

=3x^2+5x+−9+7^x2+2x+10

After, combine like terms. (Simplify the expression)

Here is a step-by-step row.

= 3x^2+5x+-9+7x^2+2x+10

= (3x^2+7x^2)+(5x+2x)+(-9+10)

= 10x^2+7x+1

That is the most simplified form, I hope this helped!

I also adore your profile picture, it's so aesthetic ♡

..you watch anime? if so, me too! here's the answer, 18 :))

step-by-step explanation:

3 + 5= 8

8 - 9= -1

-1 + 7= 6

6 + 2= 8

8 + 10= 18

your answer is 18!!

This month, a marching band has 60 musicians. If the number of musicians in the band last month was 51 members, what percent of increase was this? (Round to the nearest percent)

Answers

Answer: Happy holidays!

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