a cylinder water tank carries a volume of 150L when it is full. The water tank has a base surface with a diameter of 140 cm. what is the height of the water tank?​

Answers

Answer 1

Answer:

9.74418019cm=h

~ 9.7442

Step-by-step explanation:

volume of a cylinder=πr²h

radius=½of diameter

=½×140cm

=70cm

1l=1000cm³

150l=150l/1l×1000cm³

=150000cm³

150000cm³=π(70cm)²×h

150000cm³=15393.8040cm²h

150000cm³/15393.8040cm²=15393.8040cm²h/15393.8040cm²

150000cm³/15393.8040cm²=h

9.74418019cm=h


Related Questions

8.
Use the graph of y = ex to evaluate the expression e0. Round the solution to the nearest tenth if necessary.



A. 7.4

B. 1.0

C. 0.0

D. 2.7

8. Use the graph of y = ex to evaluate the expression e0. Round the solution to the nearest tenth if

Answers

Answer:

B. 1.0

Step-by-step explanation:

I got it right on the quiz

Answer:

B. 1.0

Step-by-step explanation:

When x=0, the value of y=eˣ is 1.

Reread the three paragraphs that begin at the top of page 2 and end on page 3. How does the flashback in these paragraphs advance the plot

Answers

The way the flashback in these paragraphs advance the plot is C. It introduces Evan's motivation for working in the garden with Grandfather.

What is Flashback Narrative?

The technique of flashback in storytelling involves interrupting the chronological order of events to depict an earlier event or scene. It uses time travel to furnish the audience with necessary backstory, context, or a deeper understanding of the characters.

The technique of flashbacks is frequently employed as a means of divulging previous occurrences, recollections, or incidents that hold significance to the present narrative being conveyed.

Hence, it can be seen from the given text that the use of flashback helps show the motivation which Evans had for working in the garden with Grandfather

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Reread the three paragraphs that begin at the top of page 2 and end on page 3. How does the flashback

what is a log10 (100)

Answers

Answer:

The value of the given logarithm is;

\(\log _{10}100=2\)

Explanation:

Given the logarithm;

\(\log _{10}100\)

To solve, we know that 100 is the square of 10.

so we have;

\(\log _{10}100=\log _{10}10^2\)

And according to the rules of logarithm

\(\begin{gathered} \log m^n=n\log m \\ \text{and} \\ \log _nn=1 \end{gathered}\)

Applying the two rules;

\(\begin{gathered} \log _{10}100=\log _{10}10^2=2\log _{10}10=2\times1 \\ \log _{10}100=2 \end{gathered}\)

Therefore, the value of the given logarithm is;

\(\log _{10}100=2\)

3. Bob Baffert hos iwo thoroughbred horses in his bom that he brings out
every morning to train for the upcoming rocos. Hoppertunity is a horso
training for a 2.400 meter race and Dortmund is a horse training for an
1,800 meter race. In a given workout, Hoppertunity and Dortmund start
running at the same time. Dortmund runs twice as fast at Hoppertunity:
however, Hoppertunity starts 200 meters ahead of Dortmund. After 12.5
seconds, Dortmund catches up with Hopperlunily.
Letr represent Hoppertunity's rate, Match expressions to the boxes and
symbols to the circles to create an equation that can be used to find the
rate at which Hoppertunity runs. Not all expressions and symbols will be
used, and you may use an expression and/or symbol twice.
2r
2
12.5
15
200
400
000000000 3

3. Bob Baffert hos iwo thoroughbred horses in his bom that he brings outevery morning to train for the

Answers

Answer:

12.5r + 200 = 12.5*2r

Step-by-step explanation:

Given

Rate of Hoppertunity = r

Rate of Dortmund = 2r as it is twice as fast

Solution

Let the distance Hoppertunity runs be d, then the distance Dortmund runs is d + 200 m

Since it took 12.5 seconds Dortmund to catch Hoppertunity, it can be expressed as:

d = 12.5r for Hoppertunity d + 200 =12.5*2r for Dortmund

By replacing d in the second equation, we get:

12.5r + 200 = 12.5*2r

Soving:

12.5r = 200r = 200/12.5r = 16 m/sec

Hoppertunity's rate is 16 m/sec

Dortmund's rate is 32 m/sec

The price of a new drone is $289. Sales tax is 9%. What is the total cost of the drone in dollars, including tax? ​

Answers

Answer:

$315.01

Step-by-step explanation:

To find the total cost of the drone including tax, we need to add the sales tax to the original price:

Sales tax = 9% of $289 = 0.09 * $289 = $26.01

Total cost = $289 + $26.01 = $315.01

Therefore, the total cost of the drone including tax is $315.01.

What is 56 divided by 89?

Answers

Answer:

0 or 0.62921348314 (if done by the calculator)

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 89 on the left side and the dividend 56 on the right side like this:

8 9 ⟌ 5 6

Step 2:

The divisor (89) goes into the first digit of the dividend (5), 0 time(s). Therefore, put 0 on top:

0

8 9 ⟌ 5 6

Step 3:

Multiply the divisor by the result in the previous step (89 x 0 = 0) and write that answer below the dividend.

0

8 9 ⟌ 5 6

0

Step 4:

Subtract the result in the previous step from the first digit of the dividend (5 - 0 = 5) and write the answer below.

0

8 9 ⟌ 5 6

- 0

5

Step 5:

Move down the 2nd digit of the dividend (6) like this:

0

8 9 ⟌ 5 6

- 0

5 6

Step 6:

The divisor (89) goes into the bottom number (56), 0 time(s). Therefore, put 0 on top:

0 0

8 9 ⟌ 5 6

- 0

5 6

Step 7:

Multiply the divisor by the result in the previous step (89 x 0 = 0) and write that answer at the bottom:

0 0

8 9 ⟌ 5 6

- 0

5 6

0

Step 8:

Subtract the result in the previous step from the number written above it. (56 - 0 = 56) and write the answer at the bottom.

0 0

8 9 ⟌ 5 6

- 0

5 6

- 0

5 6

3 to 4 is equivalent to the ratio of x to 36. What will x be?

Answers

Answer:

x = 27

Step-by-step explanation:

What method would you choose to solve the equation 2x2 – 7 = 9? Explain why you chose this method.

Answers

No it is 3 because 2*2 = 4 and - 7 will = 3

Parametric Functions

Parametric Functions

Answers

Answer:

Step-by-step explanation:

it think it 23 becasue u add

1 divide it by 2

What expression is equivalent to 1/3(4x + 9) + 5x?

Answers

Answer:

19/3x+3 or 6 1/3x+3

Step-by-step explanation:

lets simplify:

1/3(4x+9)+5x.

distribute 1/3 :

4/3x+3+5x

add x together:

4/3x+5x=19/3=6 1/3.

final answer:

19/3+3

In order to estimate the average time spent on the computer terminals per student at a university, data were collected for a sample of 81 business students over a one week period. Assume the population standard deviation is 1.8 hours. With a 0.95 probability, the margin of error is approximately

Answers

Answer:

The margin of error is approximately 0.39.

Step-by-step explanation:

Formular for the margin of error is

Margin of error = z* (sd/√n)

Where z* is 95% confidence level = 1.96, sd is 1.8 and n is 81

Margin of error = 1.96 (1.8/√81)

= 1.96(1.8/9)

= 1.96*0.2

= 0.392

Write an algebraic representation for the reflection

Answers

Answer:

A reflection of a point over the line y=−x is shown. The rule for a reflection in the origin is (x,y)→(−y,−x) .

PLZZZZ Hurry I’m in a rush

PLZZZZ Hurry Im in a rush

Answers

Answer:

y=10

Step-by-step explanation:

2y+3+9y-7+7y+4=180

18y=180

y=10

What’s the answer????

Whats the answer????

Answers

The equation of the circle in standard form with a center at (-6, 5) and passing through the point (-11, 3) is (x + 6)² + (y - 5)² = 29.

What is the equation of the circle?

The equation of a circle in standard form with a center at (h, k) and a radius r is:

(x - h)² + (y - k)² = r²

Center: (h, k) = (-6, 5)

Point on circle: (-11, 3)

Substituting these values into the standard form equation:

(x - (-6))² + (y - 5)² = r²

(x + 6)² + (y - 5)² = r²

Now we need to find the value of r, which is the radius of the circle.

The distance between the center (-6, 5) and the point (-11, 3) is equal to the radius of the circle.

Using the distance formula:

r = √((x₂ - x₁)² + (y₂ - y₁)²)

r = √((-11 - (-6))² + (3 - 5)²)

r = √((-5)² + (-2)²)

r = √(25 + 4)

r = √29

r² = 29

The equation of the circle:

(x - h)² + (y - k)² = r²

(x + 6)² + (y - 5)² = 29

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Helpqquuuiiiiccckkkkk

Helpqquuuiiiiccckkkkk

Answers

Here's some help. Hope this works.

Helpqquuuiiiiccckkkkk

4x+5(7x-3)=9(x-5)
x=???

Answers

Answer:

i think its 3 im not sure

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

Given equation,

→ 4x + 5(7x - 3) = 9(x - 5)

Now the value of x will be,

→ 4x + 5(7x - 3) = 9(x - 5)

→ 4x + 35x - 15 = 9x - 45

→ 39x - 15 = 9x - 45

→ 39x - 9x = -45 + 15

→ 30x = -30

→ x = -30/30

→ [ x = -1 ]

Hence, the value of x is -1.

Simplify the fraction 5 divided by 1/2

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The fraction 5 divided by 1/2 looks like \(\frac{5}{1/2}\). It is difficult to divide with fractions but can be easier if you remember that dividing by a fraction is the same as multiplying by its reciprocal. A number's reciprocal is that number flipped by switching the numerator and the denominator. So, 3/5 becomes 5/3, and 1/2 becomes 2/1. Another way to state 2/1 is simply 2. Therefore, \(\frac{5}{1/2}\) is really 5 * 2. 5 times 2 is 10, which is your answer.

Solve the inequality:
15 ≤ 3 − 2x

Answers

Divide both sides by  2

2.2      Subtract  6  from both sides

x ≤ -6

2.000 X  + 12.000  ≤  0

Answer: x ≤ -6

                 

About 4% of the population has a particular genetic mutation. 100 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 100.

Answers

400 because 100x40 is 400

An article reports that 1 in 500 people carry the defective gene that causes inherited colon cancer. In a sample of 2000 individuals, what is the approximate distribution of the number who carry this gene

Answers

Answer:

Brianliest!

Step-by-step explanation:

4

1 in 500

500 x 4 = 2000

4 in 2000

As Venus revolves around the sun, it travels at a speed of approximately 22 miles per second. Convert this speed to miles per minute. At this speed, how many
miles will Venus travel in 5 minutes?

As Venus revolves around the sun, it travels at a speed of approximately 22 miles per second. Convert

Answers

Answer:

6600 miles

Step-by-step explanation:

step 1: converting to miles per minutes

Provided 22 mi/sec

1 min = 60 sec

X = 1 sec

X = (1 min x 1 sec)/60 sec

X = 0.01667 minutes

So 1 sec = 0.01667 minutes

then, 22 miles/sec = 22 miles/0.01667 min

1320 miles/ min

step 2: How many miles in 5 minutes

1 min = 1320 miles

5 min = X

X = (5 min x 1320 miles)/ 1 min

minutes will cancel each other then,

X = 5 x 1320 miles

X = 6600 miles

so in 5 minutes Venus will travel 6600 miles

Simplify the expression to lowest terms. 4x^2 - 9/2x^2+11x+12

Answers

Answer:

(2x - 3)/(x +4)

Step-by-step explanation:

Given the expression 4x^2 - 9/2x^2+11x+12

Simplify the numerator

4x^2 - 9 = (2x)^2 - 3^2

Recall that a^2 - b^2 = (a-b)(a+b)

Hence 4x^2 - 9 = (2x - 3)(2x + 3)

The denominator

2x^2+11x+12

Factorize

2x^2+11x+12 = 2x^2+8x + 3x+12

=2x(x + 4) + 3(x + 4)

= (2x + 3)(x + 4)

Hence

4x^2 - 9/2x^2+11x+12 =  (2x - 3)(2x + 3)/(2x + 3)(x + 4)

= (2x - 3)/(x +4)

The Smiths are sending out a batch of holiday cards. Emily signed 2/5 of the cards. Then Josh signed 1/9 of the remaining cards. Tatiana signed 20% of what Josh had left. If there were 75 cards in all, how many cards are left to be signed?

Answers

The number of cards left to be signed is 32 cards.

To determine the number of cards left to be signed, we need to calculate the number of cards signed by each person and subtract it from the total number of cards.First, Emily signed 2/5 of the cards, which is equal to (2/5) * 75 = 30 cards.

Next, we need to find the number of cards remaining after Emily signed. To do this, we subtract the cards Emily signed from the total number of cards:

75 - 30 = 45 cards.

Now, Josh signs 1/9 of the remaining cards, which is equal to (1/9) * 45 = 5 cards.

After Josh signs his portion, we need to find the number of cards still remaining. We subtract the cards Josh signed from the previous remaining cards:

45 - 5 = 40 cards.

Finally, Tatiana signs 20% of what Josh had left, which is equal to 20/100 * 40 = 8 cards.

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Round the fraction 5 2/7 to the nearest whole number?

Answers

Answer:

0

Step-by-step explanation:

Fraction to Nearest Whole Number

Here we will show you step-by-step how to get the solution to: "What is 5/27 rounded to the nearest whole number?"

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

5 / 27 = 0.1

Then, we round to the nearest whole number using the following rules:

If the number to the right of the decimal point is .5 or higher, then add 1 to the left of the decimal point.

If the number to the right of the decimal point is less than .5, then leave the number to the left of the decimal point as is and remove the digit to the right of the decimal point.

.4 is less than .5. Thus, we leave the number to the left of the decimal point as is and remove the digit to the right of the decimal point.

5/27 rounded to the nearest whole number is therefore:

0

Please help this is a test grade I have 3 mins left

Please help this is a test grade I have 3 mins left

Answers

Greetings! Hope this helps!

Answer

Initial volume = 65

Final volume = 69

Object volume = 4

Have a good day!

_______________

A brainliest would help tons! :D

Answer:

initial= 65

final = 69

object volume = 4

Step-by-step explanation:

at first the water its up to 65 then when the object is placed inside the water goes up 4 so the obeject volume is 4  

Edgar accumulated $9,000 in credit card debt. If the interest rate is 30% per year and he does not make any
payments for 2 years, how much will he owe on this debt in 2 years by compounding continuously?

Answers

Answer:

$16399.06

Step-by-step explanation:

Given

Debt amount P = $9000Interest rate r = 30% = 0.3Time t = 2 yearsCompound number = continuous

Use formula

A = Pe^(rt)A = 9000*e^(0.3*2) = $16399.06

Which equation represents a circle with a center at (-4,9) and a diameter of 10 units?
(x - 9)2 + (+ 4)2 = 25
(x + 4)2 + (- 9)2 = 25
(x - 9)2 + ( + 4)2 = 100
(x + 4)2 + (- 9)2 = 100
PLZ HELP!

Answers

The first option is correct. See an explanation below.
Which equation represents a circle with a center at (-4,9) and a diameter of 10 units?(x - 9)2 + (+ 4)2

The equation of circle with center at P ( -4 , 9 ) and diameter 10 units is given by ( x + 4 )² + ( y - 9 )² = 25

What is a Circle?

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the equation of circle be represented as A

Now , the value of A is

Let the center of the circle be P ( -4 , 9 )

Let the diameter of the circle be d = 10 units

So , the radius of the circle r = d/2 = 5 units

And , standard form of a circle is

( x - h )² + ( y - k )² = r²,

So , the equation of circle is

( x + 4 )² + ( y - 9 )² = 25

Hence , the equation of circle is ( x + 4 )² + ( y - 9 )² = 25

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Mr. Brooks spent one over two of an hour making gingerbread cookies and one over fourths of an hour breaking the cookies. She then spent 45 minutes decorating the cookie. How many total minutes did she spend on her gingerbread cookies

Mr. Brooks spent one over two of an hour making gingerbread cookies and one over fourths of an hour breaking

Answers

90 minutes

Step-by-step explanation:

1/2 an hour = 30 minutes

1/4 an hour = 15 minutes

45+15=60

60+30=90

what is the prime factorization of 90​

Answers

Answer:So, the prime factors of 90 are 2 × 3 × 3 × 5 or 2 × 32 × 5, where 2, 3 and 5 are the prime numbers.

Step-by-step explanation:

Use Elimination for the answer on both :)

Use Elimination for the answer on both :)

Answers

The value of x and y after solving the equation -5x - 10y = 30 and - 3x + 3y = 27 by elimination method is -6 and 3 respectively.

What is the equation?

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given:

-5x - 10y = 30 and - 3x + 3y = 27

Solve by using the elimination method,

Divide the equation - 3x + 3y = 27 by 3 and equation -5x - 10y = 30 by 5 on both sides,

(- 3x + 3y) / 3 = 27 / 3  and (-5x - 10y) / 5 = 30 / 5

-x + y = 9  and -x - 2y = 6

Subtract equation

-x + y = 9 - (-x - 2y = 6)

-x + y - 9 = x - 2y - 6

y = 3

and - x + 3 = 9, x = -6

Therefore, the value of x and y after solving the equation -5x - 10y = 30 and - 3x + 3y = 27 by elimination method is -6 and 3 respectively.

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