Archimedes drained the water in his tub. The amount of water left in the tub (in liters) as a function of time (in minutes) is graphed. How much water was initially in the tub?

Answers

Answer 1

Answer:

y+zx=a (see below for variables

Step-by-step explanation:

You haven't attached an image, so I'll I assume you want the equation

y is amount of water, x is time, z is water drained per minute, and a is the original amount o water

y=a-zx

rearranging it for the original amount of water

y+zx=a

Answer 2

Answer:

360 liters

Step-by-step explanation:

The time when the draining began is the same as 0 minutes since the beginning of the draining. So we need to look for the point on the graph where Time is 0, which is the y-intercept. The point we are looking for is (0,360), which means that at the beginning of the draining, there were 360 liters of water in the tub.


Related Questions

Write the equation in point slope form

Answers

Answer: X=4/2x+3

Step-by-step explanation:

I just know

The equation in point slope form is
y-4 = (1/2)(x -2).

The equation for point slope form is
y - y1 = m(x - x1)

The point on the graph is given as (2,4) so you can substitute that into the equation as

y - 4 = m(x - 2)

M represents the slope.

By looking at the graph, you can see that the y-intercept is (0,3). The slope is change in y / change in x or the rise/run. From (0,3) to (2,4).

Change in y = 4 - 3 = 1
Change in x = 2 - 0 = 2

Therefore the slope = 1/2 = m.

Substitute m in for the slope and the final equation in point slope form would be y-4 = (1/2)(x -2).

Tallahassee, FL has a population of 483,493. New York, NY has 345,876 more people than Tallahassee. Phoenix, AZ has 279,426 less people than New York.

b.) Round to the nearest hundred thousand to check the reasonableness of your answer for the population of Phoenix, AZ.

Answers

Answer:

600,000

Step-by-step explanation:

Phoenix AZ has approximately 600,000 people

Plz help I need help

Answers

Answer:

Not proportional

Step-by-step explanation:

This is because there is not an equal about of feet per day

help with 14 please!!! please also explain!!

Answers

Answer:

f = ab/(a + b)

Step-by-step explanation:

#14

Given:

1/f = 1/a + 1/b

Solving for f:

1/f = b/ab + a/ab1/f = (a + b)/ab         cross - multiplyf(a + b) = ab             divide by (a + b)f = ab/(a + b)

Giving brainliest for number 31

Answers

Answer:

b, d, c

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

f(x)=x²-x

#CarryOnLearning

hopeithelps,,thanks

9
Mark studied a group of 30 whales. If each wale weighed approximately 380,000 pounds, find
the total weight of all 30 whales. Express your answer is standard form.

Answers

Answer:

11400000

Step-by-step explanation:

1 whale = 380000 lbs

30 whale weighs 380000×30

30 whales = 11400000

Please help please help please help please help

Answers

For your question you can try option #3

1. In the end of semester examination, 32% students failed in Economics, Mathematics, 46%in Business, 12% in Economics and Mathematics, 9% Mathematics and Business, 10% in Economics and Business and 3% in all the three. Using Venn diagram, determine, i. Number of students that failed in exactly one course. ii. Number of students that failed in exactly two courses. iii. Number of students who passed in all the three courses. iv. Number of students who failed in at least one course.​

Answers

(ii) 3% of students failed all three courses, 12% failed economics and mathematics, 9% in math and business, and 10% in econ and business. In other words, the students in these groups failed at least the two mentioned courses. Then 12% - 3% = 9% failed only econ and math but not business; 9% - 3% = 6% failed math and business but not econ; and 10% - 3% = 7% failed econ and business but not math. These groups are mutually exclusive, so the total percentage of students that failed exactly two courses is (ii) 9% + 6% + 7% = 22%.

32% failed econ, which means 32% - 12% - 10% + 3% = 13% failed only econ. Similarly, 46% failed business, so 46% - 9% - 10% + 3% = 30% failed only business. But we don't know how many students failed math, so we can't determine how many failed only math... And consequently we can't determine the proportion of students that make up the other categories.

the volume of a cube is increasing at the rate of 12 in^3/min. how fast is the surface area increasing in square inches per minute, when the length of an edge is 20in.?

Answers

We want to find the rate of change of the surface for a cube of increasing volume.

When the side length is equal to 20 inches, the surface area is increasing at a rate of 439.29 in^2 per minute.

We know that for a cube of side length S, the volume is:

V = S^3

And the surface area is:

A = 6*S^2

Here we know that the volume increases at a rate of 12in^3/min.

Because the volume depends on the side length cubed, we can say that the side length increases at a rate of:

∛(12in^3)/min = 2.29 in/min

Then, as a function of time t in minutes, we can write the side length as:

S(t) = (2.29 in/min)*t

Then the surface area equation is:

A(t) = 6*((2.29 in/min)*t)*((2.29 in/min)*t)

A(t)  = (31.46 in^2/min^2)*t^2

The rate of change is given by direct differentiation, we get:

A'(t) = 2*(31.46 in^2/min^2)*t

Now we need to evaluate this in the value of t such that the side length is equal to 20 in:

S(t) = 20in = (2.29 in/min)*t

         (20in)/(2.29 in/min) = t = 8.73 min

Then we will get:

A'(8.73min) =  2*(31.46 in^2/min^2)*8.73min = 439.29 in^2/min

This means that when the side length is equal to 20 inches, the surface area is increasing at a rate of 439.29 in^2 per minute.

If you want to learn more, you can read:

https://brainly.com/question/23483858

Select the values that are solutions to the inequality x2 + 3x – 4 > 0.

–6

–2

0

5

Answers

the answer to this question is -6&5

Help please :) will give brainliest if the answer is right

Answers

Answer:

(A) D.

(B) Cosh(-x)= e^-x+e^x

                            2

and the last box on the bottom would be 2

Step-by-step explanation:

If you divide 60 liters into 10 parts, there will be 6 liters each. How many liters would there be if you had 7 of these groups?

Answers

Answer:

I'm pretty sure 70 liters

Step-by-step explanation:

because 60÷10=6

so 70÷10=7

A new car sells for $27,300. It exponentially depreciates at a rate of 6.1% to $22,100. How long did it take for the car to depreciate to this amount? Round your answer to the nearest tenth of a year. fill in the blank 1

Answers

Answer:

3

Step-by-step explanation:

27300 * (1-6.1%)^n = 22100,

n∈(3,4)

when n = 3,≈22603;

when n = 4,≈21224;

so choose n = 3.

Therefore, it takes  car to depreciate to this amount is [tex]3[/tex].

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given that,

A new car sells for $[tex]27,300[/tex]. It exponentially depreciates at a rate of [tex]6.1[/tex]% to $[tex]22,100[/tex].

So, the equation is

[tex]27300(1-6.1)^n=22100\\\\[/tex]

when [tex]n[/tex] belongs to [tex](3,4)[/tex]

when [tex]n=3\\[/tex]

The equation would be

[tex]27300(1-6.1)^3=22100\\\\=22603[/tex]

When

[tex]n=4\\27300(1-6.1)^4=22100\\=21224[/tex]

So, the time it takes to depricate to the given amount is [tex]22603[/tex] when [tex]n=3[/tex].

Hence, it takes  car to depreciate to this amount is [tex]3[/tex].

To know more about the simplification

https://brainly.com/question/12795317

#SPJ2

four snack bars contain 0,2 34% 6/20 and 13/50 which snack bar contains the most amount of calories from fat

Answers

Answer:

The second snack bar  (34%)..

Step-by-step explanation:

Convert all to %:

0.2  * 100 = 20%

6/20 = 30%

13/50 = 26%

34%   <-------- This one.

Answer:

34%

Step-by-step explanation:

34%=34/100 =O.34 which is the greatest decimal compared to the rest

Round off the numbers then add to find the estimated difference.

ANSWERS ARE INCORRECT

Answers

Answer:

500, 300

Step-by-step explanation:

Assuming the rounding is for nearest 100,

635-124

600-100

500

864-612

900-600

300

pls I need help pls I need it​

Answers

Answer:

You would need 23 inches to build it

Which equation applies the associative property of multiplication?

A. (-1\4 - 5\3) - 3\5 = -1\4 - (5\3 - 3\5)

B. -5\12 times (6\5 times 1\3) times 9\2 = (-5\12 times 6\5) times (1\3 times 9\2)

C. -6\7 times 8\11 times 1\3 = 8\11 times (-6\7) times 1\3

D. (-7\8 times 2\5) + ( 7\8 times 3\5) = -7\8 times (2\5 + 3\5) ​

Answers

Answer:

(a) is correct answer but it is w.r.t addition

not multiplycation.

Step-by-step explanation:

may it will help you.

mark me brainlist plz.

HELLPPPPPPPPPPPPPPPP

Answers

9514 1404 393

Answer:

3.46 pounds6.92 pounds13.84 pounds

Step-by-step explanation:

The most accurate ratio of pounds to dollars will be found using the given numbers that have the most significant figures. Those are found on the last row of the table:

  pounds/dollar = 34.60/50 = 0.692

To find the other table values, multiply the dollar amounts by this constant of proportionality. The problem statement tells you to round the result to hundredths.

  $5 ⇒ 5.00 × 0.692 = 3.46 pounds

   $10 ⇒ 10.00 × 0.692 = 6.92 pounds

  $20 ⇒ 20.00 × 0.692 = 13.84 pounds

_____

You can also fill in the table by recognizing that $5 is one tenth of $50, so the number of pounds will be one tenth of 34.60 = 3.46. Then each of the following rows doubles the amount on the previous row.

In pack of ten books, three are geometry books while the rest are book on algebra. If three books are drawn at random, what is the probability that one of them is geometry book and the others are book on algebra​

Answers

Answer:

21/40.

Step-by-step explanation:

There are 3 geometry and 7 algebra books.

If the geometry book is drawn first probability = 3/10

If the second is algebra P = 7/9.

If the third is algebra P = 6/8 = 3/4.

So the probability  of all three being drawn in this order = 3/10 * 7/9 * 3/4

= 63/360

= 7/40.

Now there are a total of 3 ways in the order they are drawn, That is:

GAA

AGA

AAG.

So the required probability = 3 * 7/40

= 21/40.

By which rule are these triangles congruent?
A)
AAS
B)
ASA
C)
SAS
D)
SSS

Answers

Answer:

A. AAS

Step-by-step explanation:

In both triangles, the line mn and jh are congruent, the angles k and g are congruent, and h and m are congruent.

subtract 2 3/4 - 5/16

Answers

Answer:

2 7/16

Step-by-step explanation:

2 3/4 - 5/16 → 11/4 - 5/16 (convert 2 3/4 into an improper or top-heavy fraction)

11/4 - 5/16 → 44/16 - 5/16 (multiply 11/4 by 4/4 to make a common denominator)

44/16 - 5/16 = 39/16 (Subtract 44 - 5 = 39)

Simplify (convert back into mixed number)

39/16 = 2 7/16

Hope this helps!

Find the GCF of 224 and 78 by Euclid's steps.​

Answers

Step-by-step explanation:

hope this helps you dear sis.....

Answer:

Answer is given in the attachmentHope it's helpful!

8/12 + 1/2 ?? how do you do the problem ??

Answers

Answer:

1 1/6

Step-by-step explanation:

First convert 1/2 into twelfths.

1/2= 6/12

Then add:

6/12 + 8/12= 14/12= 7/6= 1 1/6

Hope this helps! :)

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\frac{7}{6}[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\frac{8}{12}+ \frac{1}{2}\\\rule{150}{0.5}\\\rightarrow \frac{8}{12}=\frac{8/4}{12/4}=\frac{2}{3}\\\\\rightarrow\frac{2}{3}+ \frac{1}{2}\\\\rule{150}{0.5}\\\rightarrow LCM(3,2): 6\\\\\rightarrow \frac{2}{3} =\frac{2*2}{3*2} =\frac{4}{6}\\\\\rightarrow \frac{1}{2}=\frac{1*3}{2*3}=\frac{3}{6} \\\rule{150}{0.5}\\\rightarrow \frac{4}{6} +\frac{3}{6}\\\\\rightarrow\boxed{\frac{7}{6}}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

In Bobby's grade, 679 students are enrolled in health and 21 students are not. What percentage of the students in the school are enrolled in health? Write your answer using a percent sign (%).​

Answers

97.07%

Step-by-step explanation:

total number of students is

696+21=717

696/717×100=97.07

answer is 97.07%

The ratio of green pepper plants to red pepper plants in Adeline's garden is 3 to 5. If there are 20 red pepper plants, how many green pepper plants are there?

A. 35
B. 16
C. 12
D. 6

Answers

the answer is C 12


explanation:
4x5 is 20
4x3 is 12
process of GCF to find the ratio

Help plsss! I don’t get this

Answers

desmos trust me, it’s way more easier that way

Which pair of
Traingle can be proved counter to bySSS

Answers

Answer:

all three pairs of sides are congruent

I need to turn this in before 11:59!!!!!!
Solve for x.
4.0 – 3
3
= 7
Enter your answer in the box.
X=

Answers

Answer:

I'm sorry if its incorrect

Answer:

x=6

Step-by-step explanation:

answer is in the photo

Find 178 ÷ 8.



22 R1



23 R2



22 R2

Answers

Answer:

22. R2

Step-by-step explanation:

Answer:

22 R2.

Explanation:

I used the method of long division.

Please mark BRAINLIEST, I'll follow you.

Khali has a box with the dimensions shown. He plans to cover the box with glitter What is the total surface area to be covered with glitter? Show your work​

Answers

Answer:

162

Step-by-step explanation:

4.5x9x4

Other Questions
Which of the following graphs represents a function? 2. Write a description in 35 paragraphs of prose about a place, object, or experience. Use showing language to describe the details; use telling language to inform the reader about the basic situation. Make sure the writing refers to at least three senses. Your goal is to make the reader see, hear, touch, taste, or smell the thing you are describing. 6.Why does Milgram include a transcript of Gretchen Brandt's interactions with theexperimenters?A. To provide readers with an example of the kind of behavior he expected fromexperiment subjectsB. To suggest the strength of a person's moral beliefs varies depending on wherethey come fromC. To prove that anyone is capable of breaking their moral code if commanded todo so by an authority figureD. To emphasize that participants that Milgram selected had stronger morals thatthe average individual Which statement correctly compares ice and liquid water?A. Both liquid water and ice have definite shapes.B. Particles of liquid water have more energy than particles of ice.C. Liquid water has a lower temperature than ice.D. Ice has a definite volume, but liquid water does not. foreign-owned factories located in mexico along the border with the united states are called Estimate 530x375. Is the estimated product closer to 150,000 or 200,000? Explain. What is the v if = 8 m and f = 20 Hz? A computer programming team has 17 members. (For each answer, enter an exact number.) (a) How many ways can a group of nine be chosen to work on a project? 24310 Correct: Your answer is correct. (b) Suppose nine team members are women and eight are men. (i) How many groups of nine can be chosen that contain five women and four men? 1 Incorrect: Your answer is incorrect. (ii) How many groups of nine can be chosen that contain at least one man? 9 Incorrect: Your answer is incorrect. (iii) How many groups of nine can be chosen that contain at most three women? (c) Suppose two team members refuse to work together on projects. How many groups of nine can be chosen to work on a project? (d) Suppose two team members insist on either working together or not at all on projects. How many groups of nine can be chosen to work on a project? Nick describes the other members of the group in unflattering terms such as redneck and The Psycho. He also describes the mountain of a black guy named Tiny with whom he seems to identify. What does his description of these characters tell us about how he sees them, and how he sees himself compared to them? The immediate result after DNA replication are one old strand that came back together after replication and one completely new strand that was just assembled two completely new strands of DNA three strands of DNA, one old and two new two strands of DNA that each contain one strand of the original DNA molecule The United States entered World War I because: A: British ships were pressing U.S. sailors into service.B: Germany tried to persuade Mexico to attack the United States.C: German and Irish immigrants were in favor of helping the Allied Powers.D: All of the choices are correct. Find the percent of change from10 yards to 15 yards1. 5%2. 33%3. 15%4. 50% A company just starting business made the following four inventory purchases in June:June 1 150 units $ 390 June 10 200 units 585 June 15 200 units 630 June 28 150 units 510 $2,115 A physical count of merchandise inventory on June 30 reveals that there are 250 units on hand. The inventory method which results in the highest gross profit for June is Select one: a.the weighted average unit cost method. b.the FIFO method. c.the LIFO method. d.not determinable. What is the force being applied to an object with a mass of 12 khans an acceleration of 4 m/s^2 9. Which lines are parallel if mZ4=mZ5? Justify your answer. please help! i need i misses 2 lessons What did Margaret Weylin do to exhibit her power over Dana? The perimeter of a poster is 16 feet. The area is 15 square feet. What are the dimensions of the poster? 7. As we understand from the reading, Vera Petrova ----A) can only perceive things with her fingersB) is a curious childC) is not the only fictional character who has extraordinary abilitiesD) fails most of the tests administered by a special commissionE) perceives the objects only when her fingers ar There are 18 daisies in a 0.25 m area. How many daisies might there be in a 1.0 m area?