A full lake begins dropping at a constant rate. After 4 weeks it has dropped 3 feet. What is the unit rate of change in the lake's level compared to it's full level?

choices: (a) 0.75 (b) 1.33 (c) -0.75 (d) -1.3

Answers

Answer 1

(-3 ft)/(4 weeks) = -3/4 ft/wk = -0.75 ft/wk

The most approriate choice is ...

... (c) -0.75

Answer 2
Final answer:

The unit rate of change for the dropping lake's level is -0.75, calculated by dividing the total drop in levels (3 feet) by the total time (4 weeks). As the lake's level is dropping, the rate of change is negative.

Explanation:

The question is asking us to find the unit rate of change in the lake's level, which means the amount the level has changed per unit of time. In this case, the time unit is weeks.

The lake has dropped 3 feet over 4 weeks, so to calculate the unit rate of change, we divide the total change (3 feet) by the total time (4 weeks). This results in a unit rate of change of 0.75 feet per week. However, since the lake's level is dropping, this should be a negative number.

So, the correct answer is (c) -0.75.

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Related Questions

INVESTIGAR LAS CARACTERÍSTICAS DE LOS NUMEROS PRIMOS Y ANOTAR LA LISTA DE LOS PRIMEROS 20 NUMEROS PRIMOS


AYUDENME URGE PARA AHORITAAAAAAA

SE QUE NADIE LO VA RESPONDER : (

Answers


No soy español pero soy fluido, puedo ayudarte aunque

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71

sarah drives 55 mi/h for h hours. which expression shows the number of miles that sarah drove?

Answers

The expression that I can make from this data is 55 x h = miles traveled

Answer:

The expression is 55 x h = miles traveled

Step-by-step explanation:


PLEASE HELP worth 45 points
In a blueprint, each square has a side length of 1/4 inch.
(down below)


a. Ceramic tile costs $5 per square foot. How much would it cost to tile the bathroom?

It would cost $
to tile the bathroom.

b. Carpet costs $18 per square yard. How much would it cost to carpet the bedroom and living room?

It would cost $
to carpet the bedroom and living room.


Question 2
c. Which has a greater unit cost, the tile or the carpet? Explain.

The has a greater unit cost because $5 per square foot for the tile is than $ per square foot for the carpet.

Answers

1 blue square on drawing is length 1/4 in but that means 4ft in reality.

so one blue square area correspongs to 4x4 = 16 square feet.

(a) there 6 tiles for the batrhroom = 6x16 sq.ft = 96 sq.ft and the cost will be $480

(b) bedroom + living area = 7x8-8 tiles = 48 tiles = 48 x 16 sq.ft. = 768 sq.ft = 85.33 sq. yards. So the cost will be 85.33*18=$1535.94

(c) unit cost for tile: $5/sq.ft

unit cost for carpet: $1535.94/768sq.ft = $2/sq.ft

The tile has a greater unit cost ($5 per sq.ft) than carpet ($2 per sq.ft)


Final answer:

The exact costs for tiling and carpeting cannot be determined without the dimensions of the rooms. However, converting square inches to square feet or yards allows for cost calculation. Generally, tile has a greater unit cost than carpet when both are compared per square foot.

Explanation:

Unfortunately, we cannot provide exact costs for tiling the bathroom or carpeting the bedroom and living room as the dimensions of these rooms are not provided. However, once you have total area in square inches, you can convert it into square feet or square yard by knowing that 1 square foot is 144 square inches and 1 square yard is 1296 square inches. After converting, you can then multiply the areas by the respective unit costs of the ceramic tile and the carpet to get the total costs.

For the unit cost comparison, generally, carpet is sold by square yard and tile is sold by square foot. To make an accurate comparison, we need to convert the price of carpet from per yard to per foot by dividing it by 9 (since 1 square yard = 9 square feet). If, for example, the carpet cost is $18 per square yard, this would equate to $2 per square foot. Comparing this to the tile cost of $5 per square foot, you can see that the tile has a greater unit cost.

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A cooler holds 15 liters of water. About how many gallons does it hold?

Answers

Divide 15 by 3.79 to get your answer.

[tex]\frac{15}{3.79} = 3.9[/tex]

The answer is 3.9 gallons, or you could round to 4.

Answer:


Step-by-step explanation:

The cooler holds 15 liters of water

Give: 1 gallon ≈ 3.79 liters

15 liters of water has how many gallons?

Cross multiplying gives approximately:

(15 × 1) ÷ 3.79 = 3.957783641 gallons = 4 gallons rounded up to nearest gallon.

The cooler holds about 4 gallons.


worth 30 points


what is the answers to questions 34 and 35???plz help me I don't understand

Answers

The answer to question 34:

Let 'x' = pounds of gravel. The ratio of mulch to gravel is given 2 1/4 | 1 1/3. Which equals 9/4 | 4/3 = 27/16.



So the total gravel and much is equal to x + 27/16x = 172  


Solving for 'x'



43/16 x = 172    


x = 172 (16/43) = 64 pounds of gravel           Mulch = 27/16x = 64 (27/16)= 108 pounds

The answer to question 35:

A.) 1,080 beats per minute at rest and 1,500 beats per minute while running.

B.) 4,500 (while running) - 3,240 (at rest) = 1,260 more beats while running than at rest.

Hi Nicole,


Question 34:

2 1/4 pounds of mulch for every 1 1/3 pounds of gravel.

Gravel - 172 / 1 1/3 = 129

Mulch - 172 / 2 1/4 = 76.44444...


Question 35:

a. 18 beats in 15 seconds.

b. 25 beats in 10 seconds.

Part A:

Find beats per minute:

1 minute = 60 seconds

60 / 15 = 4

18 x 4 = 72

Answer - 72 beats per minute (Resting)

150 beats per minute (Running)


Part B:

72 times per minute resting

Find 25 times in 10 seconds in minutes,

1 minute = 60 seconds

60 / 10 = 6

25 x 6 = 150

So while running the friend has 150 beats per minute.

Find the number of beats in 3 minutes for both:

Resting:

72 x 3 = 216

216 beats in 3 minutes

Running:

150 x 3 = 450

450 beats in 3 minutes

Subtract:

450 - 216 = 234

Answer - Your friend's heart beat is 234 beats more in 3 minutes than at rest.


Hope This Helps!

what is 5 in into centimeters

Answers

5 inches into centimeters is 12.7 because 2.54 cm is in an inch so multiple 2.54 by 5 and get 12.7

I believe it is 12.7

Only if you know please!!!

What is the expression in simplest radical form?

√504

Answers

22.4 is the answer.

cal used

Answer:

6√14 I think

Step-by-step explanation:

Galen wrote the statement "If the sum of the digits in a number is divisible by 3, the original number is divisible by 3." Which statements are true regarding his work? Check all that apply.



A: The hypothesis of the statement is "If the sum of the digits in a number is divisible by 3."


B: An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3."


C: The statement is not a conditional statement because it does not include both an "if" and a "then" clause.


D:The statement can be proven true or false.


E:The conclusion of the statement is written before the hypothesis.

Answers

The true statement regarding Galen's work are:

The hypothesis of the statement is "If the sum of the digits in a number is divisible by 3."An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3."The statement can be tested with examples to determine its truth value.

Did Galen's Statement Meet Conditional Statement Criteria?

A conditional statement is a logical statement that consists of an "if" clause (hypothesis) and a "then" clause (conclusion), where the "if" clause specifies a condition and the "then" clause indicates a result that follows if the condition is met.

Galen's statement:

"If the sum of the digits in a number is divisible by 3, the original number is divisible by 3."

Let's analyze the components of the statement:

Hypothesis (if clause): "The sum of the digits in a number is divisible by 3."Conclusion (then clause): "The original number is divisible by 3."

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WHAT IS THE MIDPOINT OF 0.1 AND 0.2

Answers

The 0 is needed as a placeholder between the decimal point and the hundredths' digit. For numbers between 0.1 and 0.2, there is a 1 in the tenths' place: 0.11, 0.12, 0.13, and so on. For numbers between 0.2 and 0.3, there is a 2 in the tenths' place: 0.21, 0.22, 0.23, and so forth.

The midpoint of 0.1 and 0.2 is 0.15.

What is the midpoint?

The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.

To find the midpoint we just have to add both the numbers and then divide by 2.

So, midpoint be,

= (0.1+0.2)/2

=0.3/2

=0.15

Thus the midpoint of 0.1 and 0.2 is 0.15.

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how do u calculate these number from least to greatest 2.35, 2.54, 2.01

Answers

From least to greatest: 2.01, 2.35, 2.54

the total weight of six pieces of butter and a bag of sugar is 3.8lb.if the weight of the bag of sugar is 1.4lb what is the weight of each piece of butter

Answers

answer:

0.4lbs per stick of butter

step-by-step explanation:

objective: find the weight of each stick of butter

total pounds: 3.8 - 1.4 (bag of sugar) = 2.4lbs

2.4lbs is the amount of pounds of butter but we need to find the weight of each stick - to do this we must divide our weight of the butter by the six sticks of butter

2.4 ÷ 6 = 0.4lbs per stick of butter

Will mark brainliest for the RIGHT answer and it must be explained

Answers

Total hours is given as 50

Hours skiing is given as 5.

Divide hours skiing by total hours:

5 /50 = 0.1

Multiply that by 100 to get the percent:

0.1 x 100 = 10%

Variable for a small pizza dough is s. And medium pizza dough is 1 1/2 times the small and a large is 2 1/2 times a small what is the amount for a small pizza

Answers

32/2 if im ring tell me pls


Nina has 3 feet ribbon that she wants to cut into 8 equal sized pieces. What is true about the length of each ribbon? A) each piece has 1/3 of 8 feet ribbon B) each piece has 1/8 of 3 feet ribbon C) each piece has 8/3 feet of ribbon

Answers

B)each piece has 1/8 of 3 feet ribbon

Answer:

B) each piece has 1/8 of 3 feet ribbon

Step-by-step explanation:

Given,

The total length of the ribbon = 3 feet,

Total number of pieces of the ribbon = 8,

If each piece has the same length,

So, the length of each piece

[tex]=\frac{\text{total length of the ribbon}}{\text{total pieces}}[/tex]

[tex]=\frac{3}{8}[/tex]

= 1/8 of 3 feet

Hence, OPTION B is correct.

What total length of ribbon is needed to Line the two long sides of the hat?

Answers

Answer:

Total length of ribbon to line the long sides will be 22 in

Step-by-step explanation:

In the given figure of kite if we draw a line "h" vertically will form two right angle triangles.

Then by applying Pythagoras theorem in both the triangles.

h²= (3x + 5)² + (2x + 1)² ------(1)

h²= (5x + 1)² + 5² ------(2)

By equating both the equations

(3x + 5)² + (2x + 1)² = (5x + 1)² + 25

9x² + 25 + 30x + 4x² + 4x + 1 = 25x² + 10x + 1 + 25

13x² + 34x + 26 = 25x² + 10x + 26

13x² - 25x² + 34x - 10x + 26 - 26 = 0

- 12x² + 24x = 0

12x² - 24x = 0

x² - 2x = 0

x(x - 2) = 0

x = 2

Now we will put x = 2 in the measure of sides of the kite.

Side 1 = (3x + 5)

          = 3×2 + 5

          = 11

Side 2 = (5x + 1)

          = 5×2 + 1

          = 11

Side 3 = (2x + 1)

          = 2×2 + 1

          = 5

Therefore, Total length of ribbon to line the long sides will be = 11 + 11

= 22 in.

Your answer will be D-22.

The function y=25x+500 represents your monthly rent y when you pay x days late.

The domain is 0,1,2,3,4 and 5 what is the range?

Answers

x, y=25x+500

range = {500, 525, 550, 575, 600, 625}

For a given function we can define the domain as the set of the possible inputs of that function, and the range as the set of the possible outputs of that function.

We will find that the range is: {500, 525, 550, 575, 600, 625}

So, if for a given function f(x) we know that the domain is {x₁, x₂, ..., xₙ} then the range will be {f(x₁), ..., f(xₙ)}

Here we have the function:

y = f(x) = 25*x + 500

And we have the domain: {0, 1, 2, 3, 4, 5}

Then the values in the range are:

f(0) = 25*0 + 500 = 500f(1) = 25*1 + 500 = 525f(2) = 25*2 + 500 = 550f(3) = 25*3 + 500 = 575f(4) = 25*4 + 500 = 600f(5) = 25*5 + 500 = 625

Thus the range is: {500, 525, 550, 575, 600, 625}

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(w15/w5)^4 Simplify it.

Answers

[tex]Solution, \left(\frac{w^{15}}{w^5}\right)^4=w^{40}[/tex]

[tex]Steps:[/tex]

[tex]\left(\frac{w^{15}}{w^5}\right)^4[/tex]

[tex]\frac{w^{15}}{w^5}=w^{10}, =\left(w^{10}\right)^4[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc}, =w^{10\cdot \:4}[/tex]

[tex]\mathrm{Refine}=w^{40}[/tex]

[tex]\mathrm{The\:Correct\:Answer\:is\:w^4^0}[/tex]

[tex]\mathrm{Hope\:This\:Helps!!!}[/tex]

[tex]\mathrm{-Austint1414}[/tex]

Answer:

for this equation, it equals w^40

Step-by-step explanation:

I took the test already :)

The graph of the equation y = 1 2 x + 2 is displayed. Which equations would intersect the orange line at the y-intercept? Check all that apply.

Answers

All of those given equations intersect the equation y = 12x +2. (:

Answer:

A

C

D

is the answer. i just was doing the practice

What is the solution to 2 ln x = 4 ln 2?

Answers

Answer:

The solution to 2 ln x = 4 ln 2 is x = ±4

Step-by-step explanation:

We have 2 ln x = 4 ln 2

[tex]nlogx\texttt{ can be written as }logx^n[/tex]

So we have

           2 ln x = 4 ln 2

              ln x² = ln 2⁴

Comparing both sides we have

             x² = 2⁴ = 16

             x = ±4

The solution to 2 ln x = 4 ln 2 is x = ±4

Answer:

4

Step-by-step explanation:

840.89+928=
[tex]840.89 + 928 \\ [/tex]

Answers

840.89 + 928 = 1768.89.

Answer:

1,768.89

Step-by-step explanation:

this is your answer

determine if the number 5.1x10^-8 is written in scientific notation

Answers

Yes, the number is written in scientific notation.

Given

Determine if the number 5.1x10^-8 is written in scientific notation

Scientific notation;

Scientific notation is defined as mathematical representation used to represent the decimal number which presents between 1 to 10 multiplied by 10 raised to a power equal to some integer.

If the power is more negative number will be smaller.If the power is less negative the number will greater.

The standard of the scientific notation is;

[tex]\rm =a\times b^{10}[/tex]

Therefore,

The number written in scientific notation is;

[tex]5.1\times10^{-8}[/tex]

Hence, yes, the number is written in scientific notation.

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What is the solution to this equation? x – 17 = –5

A. x = 22
B. x = 12
C. x = –22
D. x = –12

Answers

B.
X-17=-5
Add 17 to both sides

-5+17=12

Given ED, DB which statements about the figure are true? Check all that apply.

Answers

Answer: EB is bisected by DF

A is the midpoint DF

EB is a segment bisector

FA=1/2FC.

Step-by-step explanation:

suppose both factors in a multiplication problem are multiples of 10. Explain why the number of zeros in the factors. Include an example.

5th grade work.

Answers

Answer:

10 * 10 = 100

20 * 10 = 200

30 * 40 = 1200

Step-by-step explanation:

Step 1: In both the factors, we have zeros. for example, multiplying 20 and 10, we get 200.

Step 2: Since there are two zeros (adding zeros in multiple), therefore, in the result we get 2 zeros

More examples:

10 * 200 = 2000, there are 3 zeros (1 +2 = 3 zeros)

200 * 200 = 40000, there 4 zeros ( 2+2 = 4)

Hope this will help you understand the concept.

When multiplying two multiples of 10, the number of zeros in the product equals the sum of the zeros in the factors. This is due to each zero representing a power of ten. The product in a multiplication of multiples of 10 will have a number of zeros that matches the combined number of zeros in the factors.

When both factors in a multiplication problem are multiples of 10, the result is a number with a zero for each zero in each factor.

This is because each zero represents a power of ten, and when we multiply by 10, we are increasing the power of ten.

For example, if we have two factors, 30 and 40 (which are multiples of 10), the product would be 1200. In this case, 30 has one zero and 40 has one zero, so the product, 1200, has two zeros.

The rule can also be applied to larger multiples of 10.

For instance, if we multiply 200 by 4000, the product would: 200 (two zeros) x 4000 (three zeros) equals 800,000 (five zeros).

The total number of zeros in the product equals the sum of the zeros in the factors.

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Charmaine, Hans and Tom have a total of $84 in their wallets. Tom has 3 times what Charmaine has. Hans has $9 more than Charmaine. How much does each half

Answers

Tom has $252, Hans has $93 and Charmaine still has $84.

What's the awnser for 3x-14=x+2

Answers

x = 8.

3x-14=x+2

   +14   +14

3x = x + 16

-x    -x

2x = 16

Which equals 8 divided.

So x = 8.

3x - 14 = x + 2

-x         -x      

2x - 14 =      2

     +14       +14

2x       =      16

[tex]\frac{2x}{2}[/tex]        =    [tex]\frac{16}{2}[/tex]

 x        =     8

Answer: x = 8

how do you solve (6-2^3)-3^2+2 and what is the answer

Answers

Answer:

-9

Step-by-step explanation:

Since there's no = sign in your expression, it's not an equation and can't be "solved."  Perhaps you mean, "How do you combine the following?"

(6 - 2^3) - 3^2 + 2 can be evaluated as follows:

6 - 8 - 9 + 2, or -9


suppose the function, g(x), is used to model the height, y , of a soccer ball, x seconds after the ball is kicked up in the air. The ball starts on the ground and travels in a parabolic shape as it reaches a maximum height and then returns to the ground . Suppose further that the ball reaches its maximum height of 15 feet in 2.2 seconds . What would be an appropriate domain for g(x)?

Answers

The ball starts on the ground and travels in a parabolic shape as it reaches a maximum height and then returns to the ground . Suppose further that the ball reaches its maximum height of 15 feet in 2.2 seconds .

the ball reaches its maximum height of 15 feet in 2.2 seconds .

The ball takes 2.2 seconds to reach the maximum height from the ground

Ball takes another 2.2 seconds to reach the ground from the maximum height

So 2.2+ 2.2 = 4.4 seconds

The ball will be in the air for 4.4 seconds

So the domain of g(x) is 0 to 4.4 seconds

[0,4.4] is the domain in interval form

Answer:

Modeling  with Quadratic Function

1. y=3x^2-2x+2

2.y=4x^2+5x-6

3.33x^2-24x+635,2,555

4. -0.507x^2+14.907x-36.131

5. 0<x<4.4

Step-by-step explanation: i made 100%

How many ways can the letters of the word ORGANISM be arranged so the third letter is G? A. 7 B. 8 C. 5040 D. 40,320

Answers

3rd letter is fixed, so you only have to worry about the other letters
There are seven other letters, so there are 7! arrangements
7!= 5040
C.) 5,040
7*6*5*4*3*2*1
That's how mate.

Hello can you help me please?) please answer question 3 and 7

Answers

The independent variable for 3 would be how many hours are spent, while the dependant variable is how much is earned, the function would be y= 50x (total money, y, equals 50• hours worked), when 6 (for the hours) is plugged into the equation, y (total money earned) would be 300.

Question 7's independent variable is how many hours are worked, while the dependant variable is how much is earned, once again, it would mean y=17.75x (total money, y, is equal to 17.75, the price for each, multiplied by x, the amount sold). Which would mean that for 5 DVDs, the price would be 88.75

3.

1h - $50

xh - x · $50

f(x) = 50x

x = 6 → f(6) = (50)(6) = 300

Answer: $300.


7.

1DVD - $17.75

xDVD - x · 17.75

f(x) = 17.75x

x = 5 → f(5) = (17.75)(5) = 88.75

Answer: $88.75

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