the water level of a lake fell by 11/2 inches during a 12/3-week long dry spell. Find the average rate at which the water level changed every week.

Answers

Answer 1

Every week, the water level dropped by 1.375 inches on average rate.

The average rate is what?

The ratio of "change in the function values" to "change in the interval endpoints" is referred to as the average rate of change of a function f(x) over an interval [a, b]. Specifically, [f(b) - f(a)] can be used to get the average rate of change (b - a). The average rate of change, represented by the symbol A(x), is, in other words, the "ratio of change in outputs to change in inputs." A(x) = (change in outputs), for example (change in inputs)

based on the available facts;

Detailed explanation:

A lake's water level dropped by -11/2 inches throughout the course of a 12-week dry period.

Total fall of water level = -11/2 inches = -5.5 inches

Time of fall = 12/3 week = 4 weeks

Average rate at which water level changed every week=Total fall of water level/Time of fall

=-5.5/4

=-1.375per inch every week

Average rate at which the water level changed every week = -1.375 inches

to know more about average rate visit;

https://brainly.com/question/28333863

#SPJ9


Related Questions

Which of these tables represents a function? A table has values of X and Y. Row 2: X negative 1 and Y 15. Row 3: X negative 2 and Y 6. Row 4: X 0 and Y 15. Row 5: X 4 and Y 6. W. A table has values of X and Y. Row 2:  X 0 and Y 4. Row 3: X 6 and Y 15. Row 4: X 0 and Y 6. Row 5: X negative 2 and Y negative 1. X. A table has values of X and Y. Row 2:  X 4 and Y 0. Row 3: X negative 1 and Y negative 2. Row 4: X 6 and Y negative 2. Row 5: X 6 and Y 15. Y. A table has values of X and Y. Row 2:  X 6 and Y negative 2. Row 3: X 4 and Y 0. Row 4: X 15 and Y negative 1. Row 5: X 4 and Y 3. Z. A. W B. X C. Y D. Z

Answers

Answer:

A. E negitive

Step-by-step explanation:

Answer: x is alys a step behind y so you can make ech difrints by moltapling to ech step

Step-by-step explanation:

The variable y varies directly with the variable x.

If the value of x is 14, what is the value of y?

Answers

Given that the variable y varies directly with the variable x. If the value of x is 14, the value of y will be 21.

If the value of x is 14, what is the value of y?

Proportional relationships are relationships between two variables where their ratios are equivalent.

A direct variation is expressed;

a ∝ b then a = kb

Where k is the proportionality constant.

Given the data in the question

a = 10b = 15k = ?

First, we determine the proportionality constant.

a = kb

15 = k × 10

k = 15/10

k = 3/2

Now, if the value of x is 14, then the value of y will be;

a = kb

y = kx

y = (3/2) × 14

y = ( 3 × 14 )/2

y = 42/2

y = 21

Given that the variable y varies directly with the variable x. If the value of x is 14, the value of y will be 21.

Learn more about proportionality here: https://brainly.com/question/27530069

#SPJ1


Answer:

Value of y is 21, when x is 14.

Step-by-step explanation:

Now we have to,

→ find the value of y when x is 14.

Forming the formula,

→ k × 2 = x

→ k × 3 = y

Let's complete the given table,

→ k × 2 = x, k × 3 = y

→ 1 × 2 = 2, 1 × 3 = 3

→ 2 × 2 = 4, 2 × 3 = 6

→ 3 × 2 = 6, 3 × 3 = 9

→ 4 × 2 = 8, 4 × 3 = 12

→ 5 × 2 = 10, 5 × 3 = 15

→ 6 × 2 = 12, 6 × 3 = 18

→ 7 × 2 = 14, 7 × 3 = 21

Then the table will look like,

|| x || y |||| 2 || 3 |||| 10 || 15 |||| 14 || 21 ||

Hence, y is 21 when x is 14.

The vertex of this parabola is at (4,-3). When the x-value is 5, the y-value is -6. What is the coefficient of the squared term in the parabola’s equation?

Answers

In parabola ,  the coefficient of the squared expression is -3..

What on a graph is a parabola?

Drawing a parabola for the quadratic function f(x) = ax2 + bx + c results in a U-shaped curve. When an is smaller than zero, the parabola's graph is downward (or opens downward). When the value of an is greater than 0, the parabola's graph ascends (or opens up).

Parabola equation with a vertex at (h, k) is given by y = a(x - h)^2 + k

For the give parabola, y = a(x - 4)^2 - 3

y = a(x^2 - 8x + 16) - 3

At (5, -6)

-6 = a((5)^2 - 8(5) + 16) - 3 = a(25 - 40 + 16) - 3 = a - 3

a = -6 + 3 = -3

Therefore, the coefficient of the squared expression is -3..

Learn more about parabola

brainly.com/question/21685473

#SPJ9

PLEASE SHOW WORK
HELP

Answers

Answer:

82 + 0.6h = 85           and          h = 5

Step-by-step explanation:

hours = h

82 + 0.6h = 85

85 - 82 = 0.6h

3 = 0.6h

3/0.6 = h

h = 5

what is the answer of 20 plus 12

Answers

Answer:

32

Step-by-step explanation:


The diameter of the most popular brand of flying disc used in disc golf measures between 8 and 10 inches. Find the range of possible circumferences and areas for these flying discs to the nearest tenth.

Answers

The range of possible circumferences and areas for these flying discs are 25. 24 inches to 31. 42 inches and 50. 27 square inches and 78. 55 square inches respectively.

How to determine the circumference

The formula for circumference of a circle is expressed as;

Circumference = πd

Where;

π takes the value 3. 142d is the diameter

Circumference for diameter of 8 inches

Circumference = 3. 142 × 8 = 25. 14 inches

Area = 1/ 4 πd² = 1/ 4 × 3. 142 × 8²

Area = 50. 27 square inches

Circumference for diameter of 10 inches

Circumference = 3. 142 × 10

Circumference  = 31. 42 inches

Area = 1/ 4 × 3. 142 × 10²

Area = 78. 55 square inches

Thus, the range of possible circumferences and areas for these flying discs are 25. 24 inches to 31. 42 inches and 50. 27 square inches and 78. 55 square inches respectively.

Learn more about a circle here:

https://brainly.com/question/24375372

#SPJ1

A customer wanted to purchase a video game and realized that they were short $3.96 to be able to pay. Which value is the opposite of being short $3.96?

Answers

Using the absolute value function, the value that is the opposite of being short $3.96 is: x + 3.96.

What is the absolute value function?

The absolute function is defined by:

|x| = x, x ≥ 0.|x| = -x, x < 0.

It measures the distance of a point x to the origin, that is, |2| = |-2| = 2.

For this problem, the number is of $3.96, that is:

|x| = 3.96.

Hence:

Short of $3.96 means that x = -3.96.The opposite is the other solution, of x = 3.96.

More can be learned about the absolute value function at https://brainly.com/question/24734454

#SPJ1

Answer:

Impressive explanation

Exactly what I needed

I double checked this and it's fine

Better than from a teacher!

Step-by-step explanation:

Impressive explanation

Exactly what I needed

I double checked this and it's fine

Better than from a teacher!

solve the inequality -5x - 7 less than 28

Answers

Step-by-step explanation:

Determine the area of square 1

Answer:

x > - 7

Step-by-step explanation:

- 5x - 7 < 28 ( add 7 to both sides )

- 5x < 35

divide both sides by - 5 , reversing the symbol as a result of dividing by a negative quantity.

x > - 7

if C = 5/9(f-32)find the value of f when c=30

Answers

The answer for this equation would be f = 86

Help me please, I need to pass this class

Answers

Answer:

Step-by-step explanation:

20

Answer: KL IS 3 + 9 THEN 5 MINUS NINE

Step-by-step explanation: FIND KL

Simplificación the -49/88

Answers

We can't simplify -49/88 any further because it's already reduced to the least common factor in the numerator and denominator.

We'll leave it as it is;

-49/88

[tex]--------------------------------[/tex]

No podemos simplificar más -49/88 porque ya está reducido al mínimo común divisor en el numerador y el denominador.

Lo dejaremos como está;

-49/88

10. Circle the irrational number in the list below.
√196
7.27
5/9
√15

Answers

square root
of 15 is the answer

1, .25 blank , -1.25, blank complete each arithmetic sequence

Answers

The complete arithmetic sequence is 1, .25, -0.5, -1.25, -2

How to complete the arithmetic sequence?

The arithmetic sequence is given as:

1, .25, blank, -1.25, blank

Replace the blanks in the arithmetic sequence with x and y

So, we have:

1, .25, x, -1.25, y

An arithmetic sequence has a common difference (d)

The common difference is calculated using

d = T2 - T1

So, we have

d = 0.25 - 1

d = x - 0.25

d = y + 1.25

Substitute d = x - 0.25 in d = 0.25 - 1

x - 0.25 = 0.25 - 1

This gives

x = 0.25 + 0.25 - 1

Evaluate the sum

x = -0.5

Substitute d = 0.25 - 1 in d = y + 1.25

0.25 - 1  = y + 1.25

This gives

y = 0.25 - 1 - 1.25

Evaluate

y = -2

Hence, the complete arithmetic sequence is 1, .25, -0.5, -1.25, -2

Read more about arithmetic sequence at

https://brainly.com/question/6561461

#SPJ1

I need help with this ASAP​

Answers

Solution : Straight line question : y= 2x-3

Straight Line:

A straight line is just a line with no curves. So, a line that extends to both sides till infinity and has no curves is called a straight line.

Slope:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Use the slope and one of the points to solve for the y-intercept (b).

One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line

1)Point (3,3) (4,5)

slope: (5-3)/(4-3) = 2/1 = 2

Y= mx+c

y -3 = 2(x-3)

y-3= 2x-6

y= 2x-6+3

y= 2x-3

More details : brainly.com/question/16283887

#SPJ9

How to find the nth term in the sequence
3,6,9,12

Answers

The n th term of the series is 3n where n is the term of reference

As we can see that there is constant difference in the terms

12-9=3

9-6=3

6-3=3

We are made sure that it is the arithmetic progression

Common difference is the difference that is constantly subtracted or added to each term after the first term

Thus the common difference 'd' is  3 as per the calculations above

Now the first term is 3

We know that any N th term of arithmetic progression is given by the formula

Tn= a+ (n-1)*d

where a is the first term of the progression and n is the term of reference and d is the common difference

a=3

d=3

Therefore, nth term of the series is = Tn= 3 + (n-1) *3

 Tn= 3+3n-3

 Tn = 3n

Hence the n th term of the series is 3n where n is the term of reference

For further reference:

https://brainly.com/question/16671654?referrer=searchResults

#SPJ9

i need help ! pls ive been having a hard time with it ive looked at it 100 times

Answers

Answer:

6.4 (or round to 6 for one digit)

Step-by-step explanation:

Look up "distance between two points formula"

Answer: MN≈6.4

Step-by-step explanation:

[tex]M(-3,-1)\ \ \ \ N(2,3)\\[/tex]

                        [tex]\boxed {MN=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }[/tex]

[tex]x_1=-3\ \ \ \ x_2=2\ \ \ \ y_1=-1\ \ \ \ y_2=3\\MN=\sqrt{(2-(-3))^2+(3-(-1))^2}\\ MN=\sqrt{(2+3)^2+(3+1)^2}\\ MN=\sqrt{5^2+4^2}\\ MN=\sqrt{25+16} \\MN=\sqrt{41} \\MN\approx6.4[/tex]

Find the rate of change between the following points. (-1, -4) (3, 1)

Answers

Answer:

Step-by-step explanation:

rghhgrwfgethyrtegrgrfrgtgrgrtt4gt

PLEASE WHAT IS THE LIMIT HELP IM SOBBING CRYING THANKS

Answers

Answer:

Step-by-step explanation:

Click this link to see the answer pls. I cannot explain it on this little square box.

i swear, just click it.

https://giphy.com/gifs/trolli-basketball-weirdly-awesome-sour-brite-slam-STcNf6rLHyMA8

Andy and his friend sam were walking along the road together. andy had a big bag of marbles. unfortunately the bottom of the bag split and all the marbles spilled out. poor andy! one third of the marbles rolled down the slope too quickly for andy to pick them up. one sixth of all the marbles disappeared into the rain-water drain. andy and sam picked up all they could but half of the marbles that remained nearby were picked up by other children who ran off with them. andy counted all the marbles he and sam had rescued. he gave one third of these to sam for helping him pick them up. andy put his remaining marbles into his pocket. there were 14 of them. how many marbles were there in andy's bag before the bottom split?

Answers

The total number of marbles that were there in Andy's bag before the bottom split are 84 marbles.

Let, the total number of marbles Andy have in the bad in beginning = x

One third of the marbles rolled down the slope too quickly for Andy to pick them up. So we can write,

Total number of marbles Andy have now = x - (x/3)

One sixth of all the marbles disappeared into the rain-water drain. So, So we can write,

Total number of marbles Andy have now = x - (x/3) - (x/6) = (x/2)

Half of the marbles that remained nearby were picked up by other children who ran off with them. So, we can write

Total number of marbles Andy have now = (x/2) - (x/4) = (x/4)

Andy gave one third of these to Sam for helping him pick them up. So,

Total number of marbles Andy have now = (x/4) - (x/12) = (x/6)

Now, we have given that Andy have 14 marbles in the end in his pocket. On comparing it with above equation, we get

(x/6) = 14

⇒ x = 84

The total number of marbles that were there in Andy's bag before the bottom split are 84 marbles.

To know more about Solving Quadratic equations refer to the link:

https://brainly.com/question/18117039

#SPJ4

A polynomial function g(x) has a positive leading coefficient. Certain values of g(x) are given in the following table.


x –4 –1 0 1 5 8 12
g(x) 0 3 1 2 0 –3 0



If every x-intercept of g(x) is shown in the table and each has a multiplicity of one, what is the end behavior of g(x)?

a
As x→–∞, g(x)→–∞ and as x→∞, g(x)→–∞.

b
As x→–∞, g(x)→ –∞ and as x→∞, g(x)→∞.

c
As x→–∞, g(x)→∞ and as x→∞, g(x)→–∞.

d
As x→–∞, g(x)→∞ and as x→∞, g(x)→∞.

Answers

The end behavior of g(x) is;Option A: As x→–∞, g(x)→–∞ and as x→∞, g(x)→–∞.

What is the End behavior of the Polynomial?

The Factor Theorem states that a function with leading coefficient a and zeros x1, x2, x3,....,xn is defined by;

g(x) = a(x - x1)(x - x2).....(x - xn)

In the given table;

f(x) = 0 for x = -4 and 12. Thus, the zeros are x1 = -4 and x2 = 12

Then the definition is;

g(x) = a(x + 4)(x - 12)

g(x) = a(x² - 8x - 48)

The end behavior is the limit of g(x) as x goes to infinity, thus:

limₓ→ ∞ g(x) = limₓ→ ∞ax² = a * ∞

Since the leading coefficient a is negative, then;

a * ∞ = - ∞

Thus, the end behavior of g(x) is; As x→–∞, g(x)→–∞ and as x→∞, g(x)→–∞.

Read more about End behavior of Polynomial at; https://brainly.com/question/1365136

#SPJ1

Type the correct answer In each box. Spell all words correctly, and use numerals Instead of words for numbers. If necessary, use / for the
fraction bar(s).
IS What is the mean of the given distribution, and which type of skew does it exhibit?
(4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3, 4, 3, 2}
The mean of the distribution Is
and it exhibits a
skew.

Answers

The solution is Mean = 3.25 for the given distribution's mean and its type of skew.

What in mathematics is Mean?

A list of values, such as measurements or numbers, is used to calculate it by dividing the total number of values in the list by the total number of values in the list. Add up each value in the set to determine the mean. Next, divide the total by the number of values.

based on the facts provided;

Step 1: Presented data:

4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3, 4, 3, 2

Step 2:

Sum of the numbers

         = 4.5 + 3 + 1 + 2 + 4 + 3 + 6 + 4.5 + 4 + 5 + 2 + 1 + 3 + 4 + 3 + 2

         = 52

Sum of the numbers = 52

Number of terms = 16

Step 3:

Mean=sum of the number/number of term

         =52/16

          = 3.25

Mean = 3.25

Mean of the distribution is 3.25.

to know more about Mean visit;

https://brainly.com/question/12789483

#SPJ9

Dylan is making a party favorites for his dylan is making party favors for his birthday party he has 32 pencils and 56 lollipops and he must use all the pencils and lollipops for his birthday favorites if dylan creates the greatest number of identical packages possible how many parties favors can he make how many pencils and lollipops are there in each party package

Answers

He can make 8 party package and each package consists 4 pencils and 7 lollipops with 32 pencils and 56 lollipops .

To determine the greatest number of identical packages possible we have to determine the highest common factor of two given no. , 32 and 56

Let's determine the factors of the 32 and 56 ,

32 = 2 × 16 = 2 × 2 × 2 × 2 × 2

56 = 2 × 2 × 2 × 7

So , common factors are 2 , 2 ,2

Now , The HCF is , 2 × 2 × 2 = 8

So , total combination is 8 and in each combination , there is 4 pencils  ( 32 / 8 = 4 )and 7 ( 56/8 = 7 ) lollipops .

To know more about HCF visit ,

https://brainly.com/question/17437347?referrer=searchResults

#SPJ4

URGENT!! ILL GIVE BRAINLIEST! 100 POINTS

Answers

Answer:

1. l

2. h

3. j

4. k

Step-by-step explanation:

Looks right to me :)

what property of the median does this​ illustrate? a. it does not illustrate any property of the median. b. it illustrates the​ non-resistance of the median. c. it illustrates the resistance of the median. d. it illustrates that the median divides the bottom​ 50% of the data from the top​ 50%.

Answers

Answer: C. It illustrates the resistance of the median.

Write the first six terms of the arithmetic sequence with the first​ term, a1, and common difference, d.
a1 = 2, d=3

Answers

Answer:

2.5.8.11.14.17

Step-by-step explanation:

Start from 2 and add 3 every time

Nicole cleans six of the ten windows in her house. Her mom said she needs to wash 3/5 of the windows. Has Nicole cleaned enough windows? Explain your answer.

Answers

Answer:

Yes she has cleaned enough windows.

Step-by-step explanation:

If you simplify 6/10 you get 3/5

A set of 10 scores has ss = 90. if the scores are a sample, the sample variance is ____, and if the scores are a population, the population variance is ____.

Answers

If the scores are a sample, the sample variance is 10, and if the scores are a population, the population variance is 9.

A set of 10 scores has SS = 90.

The formula in getting the population variance is

σ² = SS / N

where SS is the sum of squared deviation and N  is the number of population.

Therefore, the population variance is

σ² = 90 / 10

σ² = 9

The formula in getting the sample variance is

σ² = SS /( n - 1)

where SS is the sum of squared deviation and n is the number of samples.

Therefore, the sample variance is

σ² = 90/ (10 - 1)

σ² = 90 / 9

σ² = 10

Therefore, if the scores are a sample, the sample variance is 10, and if the scores are a population, the population variance is 9.

Learn more about the variance here:

https://brainly.com/question/5518024

#SPJ4

What is the slope of the line?

Answers

Answer: The answer is A) - 9/5, because the slope of the line is decreasing/going downward indicating that the slope is negative. The slope of the line is steep, and so the rise should be more the run.

Step-by-step explanation: hope this helps!!!!!!

#3 D
MODELING REAL LIFE You consider buying a phone from one of two cell phone carriers. The table shows the total costs
(in dollars) of the phone and service for different numbers of months at Carrier A. The total cost y (in dollars) of the phone
and x months of service at Carrier B is represented by the equation y = 55x + 300. Which carrier has the lower initial fee?

Answers

Answer:

Step-by-step explanation:

The carrier that has the lower initial fee is carrier B

How to determine which carrier has the lower initial fee?

For carrier B, we have the following equation

y = 55x + 300

Set x = 0 to determine the initial fee

y = 55 x 0 + 300

Evaluate

y = 300 ---- the initial fee of carrier B

For carrier A, we have the following points on the table

(x, y) = (3, 500), (6, 650)

The slope of the points is calculated using

m = (y2 - y1)/(x2 - x1)

This gives

m = (650 - 500)/(6 - 3)

Evaluate

m = 50

Let the initial fee of carrier B y

So, we have the following points

(x, y) = (0, y), (6, 650)

The slope of the points is calculated using

m = (y2 - y1)/(x2 - x1)

This gives

m = (650 - y)/(6 - 0)

Evaluate

m = (650 - y)/6

Substitute m = 50 in m = (650 - y)/6

50 = (650 - y)/6

This gives

300 = 650 - y

Solve for y

y = 350

So, we have:

y = 300 ---- the initial fee of carrier B

y = 350 ---- the initial fee of carrier A

300 is less than 350

Hence, the carrier that has the lower initial fee is carrier B

Read more about linear equations at

https://brainly.com/question/14323743

#SPJ1

58 divided by 5,350 (working out please!)

Answers

When we divide 58 by 5,350, the value is 0.108411.

How to compute the value?

The information is that we should divide 58 by 5,350.

It should be noted that we cab reduce to the lowrst term before dividing. This will be:

= 58/5350

= 29/2675

Therefore, we can then convert the value to decimal and this will be:

= 29/2675

= 0.108411

The division is 0.108411.

Learn more about division on:

brainly.com/question/148825

#SPJ1

Other Questions
What is that which keeps the MRI functioning decide if the following statement is true or false based on the culture tidbit video you watched previously: in latin america and some parts of europe, a mutual kiss on the cheek is not a common greeting. 1 Answer: HACCP is a program designed to create awareness of potential pointsof contamination in a food-processing facility. a. true b. false2 Answer: A bacteriostatic agent uses static electricity to remove bacteriafrom a surface. a. true b. false3 Answer: The three major sources of contamination in a food processing plantare people, processing equipment, and the plant environment. a. true b. false4 Answer: Water hardness is a measure of the presence of substances in waterthat form insoluble precipitates with soap. a. true b. false5 Answer: The floor of a food processing facility should have an unfinishedconcrete surface for easy cleaning. a. true b. false Craigmont company's direct materials costs are $3,600,000, its direct labor costs total $7,540,000, and its factory overhead costs total $5,540,000. its conversion costs total:_____. 8. The road transport company of Maldivies keep MVR 950 aside as a wage per day for the hired labourers. The company initially hires 10 laboures. Find out the income of each labourer. HELP PLEASE PLEASE HELP SHOW WORK HELP PLS PLS PLS The direction and resultant In a crash are key factors in determining motor vehicle crash survivability"crush"speedpoint of impactkinetic energyin a crash are key factors in determining motor vehicle crash in the case of materials handling, storage, use and disposal, remember that the main hazards are injuries from: When you jump off a high diving board into water, you notice great resistance of water. this resistance is called __________ and is caused by water's great ______. Hello can someone please please help me with this???? 9pq(3p - 5q) please help In a 40 hour work week marcie spends 15 hours answering phones what is the ratio of hours spent answering telephones to hours doing other types of work? Four islands in this study, ranging in area from about 100 to 800 square miles, each contained about 100 bird species. What does such variation tell you about the simple assumptions of the island equilibrium model? A borrower applied for a va guaranteed first time mortgage for $150,000. however, the property appraised for $146,000. if the buyer still wished to buy the property, what most probably will happen? just before he was assassinated in 44 bc, what roman leader installed himself as "dictator in perpetuum"? Write a balanced equation from the following cell notation: mn(s) | mn2 (aq) || cd2 (aq) | cd(s) Hi there dears I need your help ^-^Am practicing my art skills in sketching(am still a beginner believe me), but am having problems to form a head (in anime) I did 1 but I need other head angles.You can also give me some other sketches that I can also try practicing (includes of hands, eyes, body, legs/feet etc.)I will appreciate your answers The first image was drawn by me.*started last night and finished today* The second image is the reference i drew. . 2.514g Ca, 1.004g O empirical formula What are constraints that members of your audience might have that keep them from responding to your message as you hope? SHOW WORK!!!!!!!!!!!!!!!!AC = x +3, BC= 8, and AB= 2x-11. Find XABC are collinear. Point B is between A and C