John has a cylindrical water tank in his house with a 4 m radius and 15 m height. The cost of filling the water in the tank is $0.5 per cubic meter. What would be the cost of filling the complete tank? (Use pi = 3.14)

Answers

Answer 1

Answer:

$377

Step-by-step explanation:

Volume of a cylinder is;

V = πr²h

Where;

r is radius

h is height

We are given;

radius; r = 4 m

Height; h = 15 m

Thus;

V = π × 4² × 15

V = 753.9822 m³

Cost of filling the tank is $0.5 per m³.

Thus, total cost to fill this tank is;

C = 0.5 × 753.9822

C = 376.9911

C ≈ $377


Related Questions

find the lenght of the missing side:

Answers

Answer:

x=15.73292

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos 70 = x / 46

46 cos 70 =x

x=15.73292

Answer:

15.73

Step-by-step explanation:

cos(x) = adjacent leg / hypotenuse

cos(70) = x / 46

0.342 = x / 46

0.342 x 46 = x

x = 15.73

What type of number is
[tex] \sqrt{7} [/tex]
O A rational number O A whole number O An irrational number O A decimal that ends​

Answers

Answer:

C

Step-by-step explanation:

It's not rational. It can't be represented as a fraction.

It can't be a decimal the ends. If I told you want the hundredth digit was, you could not establish the 101st digit.

If you try to find the square of 7 using the calculator that comes with winds, you get an answer that goes out to 2 followed by the decimal followed by 31 digits. You cannot find a pattern nor can you find an ending.

sqrt(7) is irrational.

find the volume of a cylinder if the radius is 8cm and the height is 15cm?​

Answers

Answer:

3015.92894745 cm^3

Step-by-step explanation:

Formula for volume of cylinder(v)= πr^2h

Here,

r=8 cm

h=15cm

Now,

V=πr^2h=π8^2*15=π64*15=960π=3015.92894745 cm^3

[tex]2\pir = 1828 + 49 = [/tex]Hey Shona playing how much town

A= 12b1+b2h ; solve for b1

Answers

Answer:

b1 = 0, b2 = 0

EXPLICACION

A = 12 b1 + b2 h

A - 12 b1 - b2 h = 0

b2!=0, h = -(12 b1)/b2

ground of the following nearest tens and Place a 7639. b_4325671​

Answers

Answer:

a)7640

b)4325670

Step-by-step explanation:

when rounding off a number one of the factors to consider is the number before the number you are supposed to round off,if the number is greater than 5 or equal to then you can go ahead and add a 1 to the number you have to round off.but if the number before is less than 5 you just have to leave the number the way it is.in this case for the first question you can see that the tens number is 3 and the number before is greater than 5 so you can add a 1 to the 3 to make it 4, bringing the answer to 7640 the 9 becames a zero..for the second one you can see that the number before the tens number is less than 5 so you can't add a 1 to it leaving the answer as 4325670..

I hope this helps

30 POINTS! PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!! Transformation

Options for center of dilation is located -->
At the center of the smaller circle, or at the center of the larger circle, or at at the top of the larger circle, or to the right of both circles, or to the left of both circles.

I WILL REPORT SCAMS.

Answers

The scale factor of the dilation is 0.78

The centre of dilation is located at (0,0)

The scale factor of a dilation is the ratio of the corresponding component of the final image to the original image.

According to the image given, the scale factor will be the ratio of the radius of the final image to the original image as shown below:

[tex]Scale \ factor = \frac{small \ radius}{large \ radius} \\Scale \ factor = \frac{7}{9}\\ Scale \ factor=0.78[/tex]

Hence the scale factor of the dilation is 0.78

The centre of dilation is located at the origin because the radius is the distance between the centre of the circle and its circumference. We can therefore conclude that the centre of dilation is located at (0,0)

The scale factor of the dilation is [tex]\frac{7}{9}[/tex].

The center of dilation is a point to the right of both circles.

From Analytical Geometry we know that every Circle is defined by its Radius, its form is directly proportional to its radius. Hence, the Scale Factor of the Dilation ([tex]f[/tex]) is the following ratio:

[tex]f = \frac{r_{2}}{r_{1}}[/tex] (1)

Where:

[tex]r_{1}[/tex] - Radius of the original circle.

[tex]r_{2}[/tex] - Radius of the dilated circle.

If we know that [tex]r_{1} = 9[/tex] and [tex]r_{2} = 7[/tex], then the scale factor of the dilation is:

[tex]f = \frac{7}{9}[/tex].

The scale factor of the dilation is [tex]\frac{7}{9}[/tex].

There is a geometrical approach to determine the location of the Center of Dilation. We draw two lines tangent (blue lines) to both circles and we extend to the right of the scene, the point in which both intersects each other is the location of the center of dilation. (representation is included in the image attached below)

In a nutshell, the center of dilation is a point to the right of both circles.

helpppp: write the rule that describes the composition of transformations

Answers

omg i need help on tht too

PLS HELP ME
Given that the universal set.
U = {X : 30 ≤ X ≤ 40. X is an even number}.
P = {X : X is a multiple of 4}
and Q = {X : X is a number such that the sum of its digits is an odd number}.
find n(P∩Q')

A. 1
B. 2
C. 3
D. None of the above​

Answers

Given that

U = {X : 30 ≤ X ≤ 40. X is an even number}.

so Mathematically

U = {30,32,34,36,38 40}.

P = {X : X is a multiple of 4}

P = { 4,8,12,16,20,24,28,32,36,40,44,........}

and Q = {X : X is a number such that the sum of its digits is an odd number}.

Q = {12,14,16,18,21,23,25,27,29,30,32,34,36,38,41,43,45,..........}.

(Q')= U-Q  ={40}

(P∩Q')= {40}

n(P∩Q')= 1

(Q') is Q complement which means a set containing those elements of the universal set which are not element of the set Q.

(P∩Q') is a set containing those elements of set P and Q complement which are common to both sets.

n(P∩Q') denotes the number of elements in a set containing those elements of set P and Q complement which are common to both sets which  has only 1 element which is 40.

So the best answer is part A = 1.

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The drama club sells sweatshirts for $9 dollars each to raise money for their club.
Answer the questions below .

Answers

Answer:

m=9n

Step-by-step explanation:

Linear equation, straight forward m=3n. Highlighted point is n=3 and m=9*3=27

The equation for the total money raised will be m = 9n.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that the drama club sells sweatshirts for $9 dollars each to raise money for their club.

From the table:-

The number of Sweatshirts               Money raised

       1                                                            9

       3                                                          27    

       4                                                           36

The equation will be written as:-

m = 9n

m = 9 x 1 = 9

m = 9 x 3 = 27

m = 9 x 4 = 36

Therefore, the equation for the total money raised will be m = 9n.

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#SPJ5

whats a common denominator for 3/5 and 3/8

Answers

A common denominator would be 40 (3/5 = 24/40, 3/8 = 15/40)

Answer:

40

Step-by-step explanation:

Two denominator are 5 and 8, we need to find their L.C.F. so since the only common number between 5 and 8 is 1, so,

L.C.F. = 1×5×8 = 40, so common denominator = 40

please help me! asap!

Answers

Answer:

First option

Remove 2 tiles

What are the amplitude, period, phase shift, and midline of f(x) = 7 cos(2x + π) − 3? (6 points) Amplitude = −3; period: π; phase shift: x = negative pi over 2 ; midline: y = 3 Amplitude: 7; period: π; phase shift: x = negative pi over 2 ; midline: y = −3 Amplitude: 7; period: 2π; phase shift: x = pi over 2 ; midline: y = 3 Amplitude: −3; period: 2π; phase shift: x = pi over 2 ; midline: y = −3

Answers

Answer:

So the amplitude is 7

The period is pi

The phase shift is negative pi/2

The midline is -3

Step-by-step explanation:

A trigonometric function is the same as

[tex]f(x) = a \cos(b(x + c)) - d[/tex]

Where a is the amplitude, 2 pi/ absolute value of b is the period, c is the phase shift, and d is the vertical shift or midline.

Given the function

[tex]7 \cos(2x + \pi) - 3[/tex]

The amplitude is 7, and the midline is -3. The period is

[tex] \frac{2\pi}{2} = \pi[/tex]

The phase shift is

[tex]2x + \pi = 0[/tex]

[tex]2x = - \pi[/tex]

[tex]x = - \frac{\pi}{2} [/tex]

So the amplitude is 7

The period is pi

The phase shift is negative pi/2

The midline is -3.

Do you think mathematics is used when collecting and reporting your data ? Give your reasons.

Answers

yes because everyone needs mathematics

mathematics are everywhere even if u said u dont like math u still cant get away with math

If mn, solve for x.
(3x + 9) (x + 21)

Answers

2

3x. + 63x + 9x + 189

Step-by-step explanation:

Use distributive law, in other words multiply the first bracket terms by the second bracket terms

e Reasons Y...
SIVARI Leaming su...
Solve for 2. Round to the nearest tenth, if necessary.
х
K
J
63°
I
PLS HELP

Answers

Answer:

x = .5

Step-by-step explanation:

Since we have a right triangle, we can use trig functions

tan theta = opp / adj

tan 63 = 1/x

x tan 63 = 1

x = 1/ tan 63

x=0.50952

Rounding to the nearest tenth

x = .5

<6 and <7 can be classified as?
a. vertical angles
b. alternate interior angles
c. same side interior angles
d. alternate exterior angles

Answers

Answer:

A. vertical angles

Vertical angles are supplementary angles when the lines intersect perpendicularly

Kyrin picked 40 apples from the trees behind his house. Later, he gave two to each of his friends. He only has 8 remaining. How many friends does he have?

Answers

16 friends. solve using the equation 40 - 2x = 8.

Answer:

kyrin had 16 friends

Step-by-step explanation:

40 - 2 (x) = 8 make x as friends

- 2x = 8 - 40

- 2x/ - 2 = - 32/ -2

x = 16

Find the range of the function f(x)=-4x-8 for the domain {0,1,2}

Answers

Answer:

Since this function is definable for all real values of x,

Domain(f(x)) = R = (-∞,∞)

Step-by-step explanation:

Now,

Let 4x-8=y

4x = y+8

x = (y+8)/4

Since x is definable for all real values of y,

Range(f(x)) = R = (-∞,∞)

Single adults: According to a Pew Research Center analysis of census data, in 2012, 20% of American adults ages 25 and older had never been married. Suppose that we select random samples from this population of American adults ages 25 and older. For each sample we then calculate the proportion that had never been married.

For which of the following sample sizes will the sampling distribution be approximately normal?

Wang, W., and Parker, K. (2014). Record Share of Americans Have Never Been Married. Pew Research Center. http://www.pewsocialtrends.org/2014/09/24/record-share-of-americans-have-never-married/

A) 25
B) 50
C) 75

Answers

Answer:

B. 50

Step-by-step explanation:

Central limit theorem is used to calculate the sampling distribution of the given case. The number of adults who are 25 years of age or above and not married is 20% of the samples selected. The standard deviation is 0.06 while the sample size should be 50 to conclude the results.

at 1 pm, you start out on your bike at 12 mph to meet a friend who lives 8 miles away. at the same time, the friend starts walking toward you at 4 mph. at what time will you meet your friend?

Answers

Answer:  1:30 PM

It takes 30 minutes

==========================================================

Explanation:

x = number of hours traveled

We'll use the equation

distance = rate*time

You bike at a rate of 12 mph and do so for x hours. That means you travel 12x miles based on the equation above. Your friend travels 4x miles for similar reasoning. Overall, the two of you travel a combined distance of 12x+4x = 16x miles. This combined distance is set equal to the 8 miles (distance between your houses) and you solve for x.

16x = 8

x = 8/16

x = 1/2

x = 0.5

Recall x is the number of hours, so that means it takes 1/2 an hour for the two of you to meet. This is equivalent to 30 minutes since 1/2*60 = 30.

If all of this starts at 1 PM, then you'll meet up at 1:30 PM since we add on 30 minutes to 1 PM to get to this moment in time.

------------------

Extra info:

You travel 12x = 12*0.5 = 6 miles

Your friend travels 4x = 4*0.5 = 2 miles

Total distance = you+friend = 6+2 = 8 miles

This helps confirm the answer.

Find the volume of this object.
Use 3 for it.
Volume of a Cylinder
V= Tr2h
Volume of a Cone
V= Tr?
3
8 in
4 in
13 in
V~ [?]in3

Answers

We are required to find the volume of the object which comprises of a cylinder and a cone

The volume of the object is 108 in³

Volume of a cylinder = πr²h

π = 3

r = diameter / 2 = 4 in / 2 = 2 in

h = 8 in

Volume of a cylinder = πr²h

= 3 × (2 in)² × 8 in

= 3 × 4 in² × 8 in

= 96 in³

Volume of a cone = πr²h/3

= (3 × (2 in)² × 3 in) / 3

= (3 × 4 in² × 3 in) / 3

= 36 in³ / 3

= 12 in³

The volume of the object can be found by adding the volume of the cylinder and the volume of the cone

Total volume = Volume of a cylinder + Volume of a cone

= 96 in³ + 12 in³

= 108 in³

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Find the cross product (7,9, 6)x 44, 1, 5). Is the resulting vector perpendicular to the given vectors?
a. (-57, 43, 33); yes
c. (33. – 59, - 57); no
b. (39, – 59,43), yes
d. (33, - 57, 49); no

Answers

Answer:

Option B, (39, -59, 43)

Answered by GAUTHMATH

name the property that the following statement illustrates 84+8=8+84

Answers

Answer:

the commutative property of addition :)

Please help explanation if possible

Answers

Answer:

Step-by-step explanation:

The equation for the direct variation is, for us (using f and m instead of y and x):

f = km, where k is the constant of proportionality. We need to solve for this first using the first set of given values:

-19 = k(14) so

[tex]k=-\frac{19}{14}[/tex] Now plug that in with second set of givens, namely to find f when m is 2:

[tex]f=(-\frac{19}{14})(2)[/tex] and

[tex]f=-\frac{19}{7}[/tex]

Decide which kind of change(s) is/are illustrated in each equation
(meaning changed from "regular" y=sinx or y=cosx)
→ Note: more than once choice may be circled per question.

Answers

Phase shift and period change

Rewriting the equation:

y = cos ( 2 ( x - 2 ) )

Phase shift 2 units to the right

Period changed to 2pi/2 = pi

An item is regularly priced at $95. It is on sale for 85% off the regular price.

Answers

Answer:

14.25

Step-by-step explanation:

95*0.85=80.75

95-80.75=14.25

Answer:

The sale took $14.25 off the original price, so the item is currently $80.75 with the sale.

Which
graph shows a dilation?

Answers

Answer:

There are no pictures but the dialtion would be the same figure but in an increased size. If you add pictures I can give you a more definite answer

Answer:

here you go!!

Hope it helps

Pls mark me a brainliest

Step-by-step explanation:

Jayden travels 13/18 feet in 9/26 seconds. Find the speed of Jayden in feet per second.

Answers

Answer:

Speed = 2 7/81 feet per second

Step-by-step explanation:

Distance travelled = 13/18 feet

Time taken = 9/26 seconds

Find the speed of Jayden in feet per second.

Speed = Distance travelled / Time taken

= 13/18 ÷ 9/26

= 13/18 × 26/9

= (13 * 26) / (18 * 9)

= 338 / 162

= 2 14/162

= 2 7/81 feet per second

Speed = 2 7/81 feet per second

Jayden speed is 2 7/81 feet per second

4 − 3
2
∗ 0.6 + (2
5
− 3.2 + 8.1) =

Answers

Answer:

4.9...Maybe???

Step-by-step explanation:

just writing this to post my answer

HELPPPPPPPP!!!!!!!!!!!!!!!!!

Answers

1)3
2)5/4
3)1
4)3/2
5)1.3
6)4
7)0
8)1
9)7
10)2
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Research via the internet and find an article in the news regarding wireless hacking, hardware hacking, or other security breach. As security and IT changed so rapidly, your article should be no older than 2007 (i.e. Less than 5 years old). Summarize the article using at least 500 words. A piece of wood displaces 12.5 mL of water and has a density of 0.97 g/ml. what is the mass of the piece of wood? what will happen if the wood is placed in water?HELP PLEASE! ASAP YOUR DA BEST! 15 POINTS YALL who is dajjal?????One of the greatest devils ever It will appear to deceive people to worship and worship. Intoxicated people into ignorance and ignorance, society will be filled with vile, vile, vain, and chaos. It will enslave people. lead people to misery The era it occupied was an era full of vices and vices. unfair People will suffer great tribulation because they will reap benefits from the land and from the people. and forced people to be under its power. and it has both material and spiritual powers. The Prophet Muhammad (PBUH) called it "Ad-Dajjal" or "Dajjal", meaning "Dajjal" in Arabic means "liar and deceitful". or "the deceiver" from the evidence that has been taught more than 1400 from the teachings of the Prophet Muhammad (pbuh) is found in the texts that have been reported inherited by the narrator (Al Hadi) d) of the Prophet Muhammad (PBUH) that can be summarized as follows:1- Its face is bright white. but his right eye is completely blind. and his left eye lit up. and looks bulging out (Reported by Bukhari 77:68-92 and Ahmad's Musnad, Volume 1, pages 240374).2- It will appear from the eastern territories. There was a vehicle of a white donkey, the length of each ear was 30 yards, one step of it. equal to walking one day Its vehicles will travel faster. Like a cloud blown by the wind (Reported by Abu Dawud, Sunan, Khanz al-Ummal, volume 7, pages 1998 - 2104, and in Mishkat al Masabih chapter Fina. h).3- It can control the rain to fall to the ground. and it will produce crops(Mishkat Al Masabih chapter Fitnah).4- It will cause great misery to mankind. which has never been in trouble Or any test will be equal to the test of Dajjal from the creation of man until the day of resurrection.(Mishkat Al Masabih and Khanz Ab Ummal Chapter 7, page 2028).5- His wealth will be innumerable upon the face of the earth. 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Can someone please help me I dont know how to do this (Due today) necesito las respuestas porfa II. Transformation1. We couldnt go out because it was so dark.- It was too __________________.2. Kevin said, What does she do Jack?- Kevin _____________________.3. Nam spoke English well, so they offered him the job.- Nam spoke English so well_________________________.4. I wont phone him if he doesnt phone him first. - Unless ________________________________.5. She has never moulded an animal out of clay before.- This is ________________________________________________. What are the elements of a tour?? A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. In a random sample of 36 bins, the sample mean amount was 50.67 pounds and the sample standard deviation was 3.9 pounds. a) Conduct the appropriate hypothesis test using a 0.1 level of significance.b) What is the test statistic? Give your answer to four decimal places.c) What is the P-value for the test? Give your answer to four decimal places.d) What is the appropriate conclusion?i. Fail to reject the claim that the mean amount per bin is 50 pounds because the P-value is larger than 0.1.ii. Fail to reject the claim that the mean amount per bin is 50 pounds because the P-value is smaller than 0.1. iii. Reject the claim that the mean amount per bin is 50 pounds because the P-value is larger than 0.1.iv. Reject the claim that the mean amount per bin is 50 pounds because the P-value is smaller than 0.1.