A bucket of water of mass 15 kg is pulled at constant velocity up to a platform 40 meters above the ground. This takes 16 minutes, during which time 5 kg of water drips out at a steady rate through a hole in the bottom. Find the work needed to raise the bucket to the platform. (Use g=9.8m/s^2.)

Answers

Answer 1

Answer:

  4900 J

Step-by-step explanation:

The average mass of water raised is ...

  (15 kg +(15 -5) kg)/2 = 12.5 kg

The work done to raise it 40 m is ...

  W = mgh = (12.5 kg)(9.8 m/s^2)(40 m) = 4900 J


Related Questions

I will give brand list

Answers

Answer:

5/4

Explanation:

coordinates given (0,0) and (8,10)

How to find unit rate?

use this formula:

(y2-y1)/(x2-x1)

using the formula:

→(10-0)/(8-0)

→ 10/8

→ 5/4

→ 1.25

Answer:

5/4 cm/s

Step-by-step explanation:

The gradient (slope) of the line is equal to the speed of the object.

Gradient = change in y ÷ change in x

Using the two given points (0, 0) and (8, 10):

⇒ speed = (10 - 0) ÷ (8 - 0) = 5/4 cm/s

7. Which expression is equivalent to -2v + (-4) +8+(-3)?

A.-5v
b. 7v
c. -6v+5
d. -5v+4

Answers

Answer:

the answer would be answer d.5v+4

All of the following are equivalent, except _____.

(12 + 3x) x
12 x + 3 x
(12 + 3) x
15 x

Answers

Answer:

x = 5

so that means the solution

Step-by-step explanation:

45x16+3X14+12x13=x918

The answer is:

A

Work/explanation:

Let's take the time to simplify each of these expressions and see which ones are equivalent.

[tex]\mathbb{OPTION~A}[/tex]

[tex]\sf{(12+3x)x}[/tex]

Simplify by distributing x:

[tex]\sf{12x+3x^2}[/tex]

__________

[tex]\mathbb{OPTION~B}[/tex]

[tex]\sf{12x+3x}[/tex]

Combine like terms:

[tex]\sf{15x}[/tex]

__________

[tex]\mathbb{OPTION~C}[/tex]

distribute x

[tex]\sf{(12+3)x}=12x+3x=15x}[/tex]

___________

[tex]\mathbb{OPTION~D}[/tex]

Nothing can be done to simplify the expression 15x.

Hence, the "odd one out" is A, as it's not equivalent to the others.

Bri and Annamarie are picking strawberries at two different strawberry farms that charge a flat fee plus a cost per basket picked. The graph shows the total cost for Annamarie based on the number of baskets of strawberries picked.

The equation y = 3.25x + 5.5 shows the total cost for Bri with y representing the cost and x representing the number of baskets picked.

Which statements about the baskets picked by the two girls are true? Select each correct answer.
A) The farm where Bri picks charges less of a flat fee.
B) The farm where Bri picks charges less per basket picked.
C) Annamarie pays $2.75 per basket picked.
D) Bri pays $5.50 per basket picked.

Answers

The points on the graph for the amount of strawberries picked by Annamarie are (0, 11), (10, 38.5).

(10, 38.5)

38.5/10 = 3.85

Annamarie pays $3.85 per basket.

y = 3.25x + 5.5

(3.25, 5.5)

The amount of strawberries picked by Bri is (3.25, 5.5).

Bri pays $5.50 per basket.

The farm where Bri chose to pick strawberries charges more for them so A and B are not the answer.

Annamarie pays $3.85 per basket so C is not one of the answers.

The only answer is D) Bri pays $5.50 per basket picked.

Answer:

[tex]From \: the \: graph, \: the \: equation \: representing \: the \: number \: of \: strawberries \: picked \: by \: Annamarie \: is \: given \: by: \\ \\ \frac{y - 11}{x - 0} = \frac{38.5 - 11}{10 - 0} \\ \\ \frac{y - 11}{x} = \frac{27.5}{10} = 2.75 \\ \\ y - 11 = 2.75x \\ \\ y = 2.75x + 11 \\ \\ Given that the \: equation \: representing \: the \: number \: of \: strawberries \: picked \: by \: Bri \: is \: given \: by \: y \: = 3.25x + 5.5 \\ \\ From \: the \: \: two \: equations \: we \: can \: deduce \: that : \: \\ \\

The \: farm \: where \: Bri \: picks \: charges \: less \: of \: a \: flat \: fee. \: \\ \\Annamarie \: pays  \: $2.75 \: per \: basket \: picked. \: [/tex]

C) Annamarie pays $2.75 per basket picked.

22 people share 333 chocolate bars equally. Each chocolate bar is the same size.
About how much chocolate does each person get?

Answers

Answer:

15.31

Step-by-step explanation:

Once again, If you divide 333 chocolates by 22 people you will have 15.31 chocolates per person

Answer:

For the dude above or below me he ment 3 and 2 not 22 and 333 he copy and pasted it

Step-by-step explanation:

What is the length of the line?


hopefully you can see the lines.

Answers

Answer:

Depending on what you're looking for: 5 or -5/2

Step-by-step explanation:

If non-function, count the height in which it covers: 5

If function, find slope (rise over run): -5/2

please answer as soon as possible!! (50 points)

Answers

Answer:

I think its the first one

Step-by-step explanation:

Your answer would be B !!! Hope you the best

How many solutions does this equation have?

–16 + 18u = 18u + 17 − 15

Answers

Answer:

No solutions

Step-by-step explanation:

I don't know what I'm suppose to do with the minus .Solve the inequality: 10 ≤ 7 - x

Answers

Answer:

Step-by-step explanation:

10 ≤ 7 - x

Add x to both sides

10 +x ≤ 7 -x + x

10 +x ≤ 7

Subtract 10 from both sides

10 - 10 + x≤ 7 - 10

x ≤ -3

x  = { ....... -4, -3}

Please due tomorrow!!!!!!

Answers

Answer:

B. -94.94

Step-by-step explanation:

Substitute given value into function and evaluate

Answer:

-94.94

Step-by-step explanation:

The answer is -94.94. First you put -4.2 as x, so 23.2*-4.2 which gives you -97.44. Then you do (-97.44)+22.5. Which gives you the answer -94.94.

PLEASE HELP ME!! I ALREADY DID THE FIRST ONE BUT IM SO CONFUSED ABOUT THE OTHERS!!!

Answers

Answer:

i) 134

ii) Number of bottles sold on Tuesday:   [tex]\dfrac{x}{45}[/tex]

iii) Number of bottles sold on Wednesday:  [tex]\dfrac{(x-75)}{48}[/tex]

iv) [tex]x=3915[/tex]

Therefore, 87 bottles were sold on Tuesday and 80 bottles were sold on Wednesday

Step-by-step explanation:

i) You need to ensure that the values are both in the same format (either both in dollars, or both in cents).

45 cents = 45/100 dollars = 0.45 dollars

60.30 ÷ 0.45 = 134

ii) both values are in cents, so no need to convert one of them.

Let n be the number of bottles sold.

So 45n = x

Therefore, n = x/45

ii)

Let n be the number of bottles sold.

So 48n = (x - 75)

Therefore, n = [tex]\dfrac{(x-75)}{48}[/tex]

iv)

Number of bottles sold on Tuesday:   [tex]\dfrac{x}{45}[/tex]

Number of bottles sold on Wednesday:  [tex]\dfrac{(x-75)}{48}[/tex]

If the number of bottles sold on Tuesday was 7 more than those sold on Wednesday:

[tex]\implies \dfrac{x}{45}-7=\dfrac{(x-75)}{48}[/tex]

multiply both sides by 48:  

[tex]\implies \dfrac{48x}{45}-336=x-75[/tex]

multiply both sides by 45:

[tex]\implies 48x-15120=45x-3375[/tex]

[tex]\implies 3x=11745[/tex]

[tex]\implies x=3915[/tex]

Therefore, 87 bottles were sold on Tuesday and 80 bottles were sold on Wednesday

Zeke and six of his friends are going to a baseball game. Their combined money totals $28.50. At the game, hot dogs cost $1.25 each, hamburgers cost $2.50 each, and sodas cost $0.50 each. Each person buys one soda. They spend all $28.50 on food and soda. Determine how many different combinations, including those combinations containing zero, of hot dogs and hamburgers Zeke and his friends can buy, spending all $28.50. ENTER

Answers

1.25x + 2.5y + 0.5z ≤ 28.5

is your inequality

The area of a circle is 61.2cm2.
Find the length of the radius rounded to 2 DP.

Answers

Answer:

4.41 cm

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

61.2 = pi r^2

Using 3.14 for pi

61.2 / 3.14 = r^2

19.49044586 = r^2

Take the square root of each side

sqrt( 19.49044586) = sqrt(r^2)

4.414798507 = r

To 2 decimal places

4.41 = r

Identify a1 and r for the geometric sequence defined by a Subscript n Baseline = negative 256 (negative one-fourth) Superscript n minus 1 a1 = r =.

Answers

Answer:

Identify a1 and r for the geometric sequence

defined by a Subscript n Baseline = negative 256 (negative one-fourth) Superscript n minus 1

a1 =

-256

 r =

-1/4

Approximate the sum of the first 17 terms to the nearest tenth.

Sum =

-204.8

Step-by-step explanation:

The value  [tex]a_1[/tex] is -256.

The value  r = -1/4

What is a geometric sequence?

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

Example:

2, 4, 8, 16 is a geometric sequence.

We have,

In a geometric sequence,

Each term is obtained by multiplying the preceding term by a constant factor, which is called the common ratio (r).

So,

The nth term of the sequence.

[tex]a_n[/tex] = -256 x [tex](-1/4){n-1}[/tex]

Now,

[tex]a_1[/tex] = -256 x [tex](-1/4)^{1 -1}[/tex]

   = -256 [tex](-1/4)^0[/tex]

   = -256 x 1

   = -256

[tex]a_2[/tex] = -256 x [tex](-1/4)^{2-1}[/tex]

   = -256 x [tex](-1/4)^1[/tex]

  = -256 x -1/4

  = 64

Now,

[tex]a_1[/tex] r = [tex]a_2[/tex]

-256 x r = 64

r = 64 / -256

r = -1/4

Therefore,

[tex]a_1[/tex]= -256 and r = -1/4

Learn more about geometric sequence here:

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Workers in an office of 120 staff were asked their favourite type of take-away.
The results are summarised in the table.

Take-away Frequency Angle
Pizza 18
a
Curry 5
b
Fish & chips 25
c
Kebab 3
d
Other 69
e


How many degrees represent 1 person?

Answers

Angles: 42°, 114°, 24°, 30°, 150°.

Please help me with number 3

Answers

Answer:

y=x(squared) -6x+5

Step-by-step explanation:

Fourteen equals fifteen decreased
by an unknown number.

Answers

Answer:

14 = 15 - x

Step-by-step explanation:

14 = 15 - x

14 = 15 -1

14 = 14

Hope this helps!

Through observation and surveys, Dr. Thompson was able to determine how much time a sample of children spent playing outside. What type of research is this

Answers

The type of research that's illustrated in this case is a descriptive study.

What is a descriptive study?

Descriptive study simply means a study where information is collected without changing the environment.

Since Dr. Thompson was able to determine how much time a sample of children spent playing outside, this is a descriptive study.

Learn more about researches on:

https://brainly.com/question/25257437

Each can of paint is 1,000 square inches . what is the fewest number of full cans of paint will maraina need.

Answers

Answer:

How many square feet does maraina need to fill though?

Please help it's for my homework, It's easy I'm just dum...

Answers

First, since it's given the angle PRS=98 degrees we can find x.

(3x-8)+(2x+6)=98 we can solve for x

after solving this we find that

x=20

Now we can solve for angle QRS

2x+6 plug in our values and we get

40+6, which equals 46 degrees

can someone help me with this

Answers

Answer:

Statements                                                                       Justifications

E bisects AI, BC bisects AE, FH bisects EI                     Given

AE is congruent to EI                                                       Definition of Bisector

AD is congruent to DE                                                     Definition of Bisector

EG is congruent to GI                                                       Definition of Bisector

If AE is congruent to EI, AD is congruent to DE, and EG is congruent to GI, then AD is congruent to DE, EG, and GI, DE is congruent to AD, EG, and GI, EG is congruent to AD, DE, and GI, and GI is congruent to AD, DE, and EG. Therefore, AD is congruent to EG.

This isn't the best answer and probably won't get you a 100, but it shows effort so...

The sum of 3 consecutive odd numbers is 69. Find the numbers. solve the question in step-by-step

Answers

The question is related to an arithmetical sequence where common difference is 2.

(a-2) +a + (a+2) =3a=69

a=23

So three odds are

21 23 25

uiz / 3 of 5
Two different cell phone companies charge a monthly fee, plus a cost per text message. Cell phone company M charges a monthly fee of
$10, plus $0.15 per text message. The table below shows monthly charges of cell phone company N based on the number of texts.
Phone Company N
Number of Monthly
Texts
Charge
(x)
(y)
25
$17.50
50
$20.00
75
$22.50

Answers

Answer:

$22.50....................

Use given triangle to fill in the blank.

Answers

Answer:

The choice first

[tex] \tan(x) = \frac{12}{5} [/tex]

I need help please, anyone?!! I don’t know what I’m doing, please give explanation to your answer

Answers

15% Of 2780 is 417

Convert 15% to a decimal (0.15) and multiply by 2780

0.15*2780= 417

Awnser: 417
2363 went on the trip.

2780x0.15=417

Then 2780-417

So you get 2363

Pls i need answer I’m really confused with this question

Answers

Answer:

answer choice 2

Step-by-step explanation:

10+4(19)=86

Look at the shaded shapes drawn on a square grid.
A
B
Steven says:
The area of rectangle A is double the area of square B.
Is he correct?
Explain your answer:

Answers

Answer:

No.  Steven is not correct.

Step-by-step explanation:

The area of shape A is 15 (either multiply 5 x 3 or just count squares).  The area of shape B is 9.

15 is not double 9.

In 2020, summer camp registration was $15
more than it was in 2021. In 2020, registration
was $285. By what percentage did the summer
camp registration decrease in 2021?

Answers

Answer:

I think your answer is 5.25% or it could be 5.3 or 5

5.26 percent of the summer camp registration decreased in 2021

What is the percentage?

The ratio of two numbers that has no dimensions is what is known as a percentage. It may be used to determine how much one number exceeds another when comparing two figures, or it is used to compare the two statistics to a uniform grid.

In 2020, there was a $285 membership fee for summer camp.

It is stated that the membership cost for summer camp increased by $15 in 2020 compared to 2021. We can calculate the summer camp registration cost for 2021 using the data given.

In 2021, there was a $285-$15 membership fee for summer camps.

there was a $270 membership fee for summer camps.

The gradual decrease in the summer enrichment registration price must be determined = (Drop/Initial Value)*100 represents the proportion decrease.

= (15/285)*100 represents the percentage decline.

The membership price for summer camps has decreased by 5.26 percent.

Learn more about percentage, here:

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Which of the following modifications to the list of assets and liabilities below would result in a positive net worth? Home owned $105,000. Mortgage owed $100,000. Car valued at $26,000. Car loan of $22,000. Investment fund of $4,500. Savings of $1,500. Credit card balance of $15,000. A. Lowering mortgage by $1,000. B. Increasing investment fund by $500. C. Adding $100 to savings. D. All of the above. Please select the best answer from the choices provided A B C D.

Answers

Answer:

I think its D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Can you please simplify these expressions in two forms: radical and simplified without exponents?
I don't really understand how fractional exponents work, so an explanation would be appreciated.
27^4/3
36^3/2
(1/8)^2/3
128^5/7
Thank you :)

Answers

Answer:

(a.) 27^4/3 = 81, (b.) 36^3/2 = 216, (c.) (1/8)^2/3 = 1/4, (d.) 128^5/7 = 32

Step-by-step explanation:

All these expressions can be converted in square roots.

In order to do this, we can picture the fractional exponents as exponent / index

(a.) So for this first problem, we would have the cube root of [tex]27^{\frac{4}{3} }[/tex] or

[tex]\sqrt[3]{(27)^{4} }[/tex].

We must do the equation inside the radical first (i.e., [tex](27)^{4}[/tex]) to get [tex]\sqrt[3]{531,441}[/tex] = 81

We can follow these same steps for the remaining equations:  

(b.) [tex]36^{\frac{3}{2} }[/tex] = [tex]\sqrt{(36)^3}[/tex] = [tex]\sqrt{46,656}[/tex] = 216

(c.) [tex](\frac{1}{8})^\frac{2}{3}[/tex] = [tex]\sqrt[3]{(\frac{1}{8})^{2} }[/tex] = [tex]\sqrt[3]{(\frac{1^2}{8^2}) }[/tex] = [tex]\sqrt[3]{(\frac{1}{64}) }[/tex] = [tex]\frac{1}{4}[/tex]

(d.) [tex]128^{\frac{5}{7} }[/tex] = [tex]\sqrt[7]{(128)^{5} }[/tex] = 32

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