A cylindrical water tank has a diameter of 60 feet and a water level of 10 feet. If the water level increases by 2 inches, how many more cubic feet of water will be in the tank, to the nearest cubic foot?
Answers
After formula for the volume of a cylinder, the increase in water level results in approximately 260 more cubic feet of water in the tank.
The current water level is 10 feet, which is 120 inches. When the water level increases by 2 inches, the new water level will be 122 inches.
The radius of the tank is half of the diameter, which is 30 feet or 360 inches.
The current volume of water in the tank can be calculated using the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height of the water level.
V = π(360²)(120) ≈ 15,465,920 cubic inches
When the water level increases by 2 inches, the new height of the water level is 122 inches.
The new volume of water in the tank can be calculated using the same formula:
V = π(360²)(122) ≈ 15,914,693 cubic inches
The difference in volume between the two levels is:
15,914,693 - 15,465,920 = 448,773 cubic inches
To convert cubic inches to cubic feet, we divide by 1728:
448,773 ÷ 1728 ≈ 259.6 cubic feet
Rounding to the nearest cubic foot, we get:
260 cubic feet
Therefore, the increase in water level results in approximately 260 more cubic feet of water in the tank.
To know more about volume of a cylinder, visit:
https://brainly.com/question/27033747#
#SPJ11
Related Questions
I would appreciate if you could help and explain on how you do it. :)
<ABC and <DEF are complementary angles.
What is the measure of x?
Answers
Answer:
x=35
Step-by-step explanation:
Steve earn $15 and spent 2/3 of it how much did he spend
Answers
Steve spent 2/3 of $15, to find how much this 2/3 of $15 is, we have to multiply $15 by 2/3, as follows:
\(15\times\text{ }\frac{2}{3}=\frac{15\times2}{3}=\frac{30}{3}=10\)Therefore, we have found that Steve already spent $10 .
Name three items that have a capacity greater than 10 liters
Answers
three items that have a capacity greater than 10 liters are Large cooking pots, Backpacks, Water coolers.
Here are three items that have a capacity greater than 10 liters:
Large cooking pots - Many cooking pots used in commercial kitchens have a capacity of 10 liters or more.
Backpacks - There are many backpacks available with a capacity greater than 10 liters, including hiking backpacks, travel backpacks, and backpacks designed for carrying large amounts of equipment or gear.
Water coolers - Many water coolers have a capacity of 10 liters or more, making them useful for providing drinking water for a large group of people over an extended period of time.
To know more about capacity, visit: brainly.com/question/23944576
#SPJ4
List the data in the following stem-and-leaf plot. The leaf represents the tenths digit. 14 15 1447 16 56 17 8 18 366 Separate the numbers in the list by a comma. The list is: 151, 154, 154, 157, 165, 166, 178, 183, 186, 186 0,0,... X
Answers
The leaf representation is given as
14 l
15 l 1447
16 l 56
17 l 8
18 l 366
The 10th means that after the decimal, So the foundation must be the 15.1. This will be the 15.4, 15.7, 16.5 16.6 17.8 18.3 18.6 and 18.6.
In order to help visualize the shape of a distribution, a stem-and-leaf display or stem-and-leaf plot is a tool for presenting quantitative data in a graphical manner, comparable to a histogram.
The adoption of monospaced (typewriter) typestyles during that period contributed to their appeal since they made it simple for then-current computer technology to create the images. The improved graphic capabilities of modern computers have reduced the employment of these techniques.
While a stemplot is another name for a stem-and-leaf plot, it frequently refers to a different kind of chart. The term "simple stem plot" may refer to the mapping of a matrix of y values to a common x axis, along with the identification of the common x value by a vertical line and the individual y values by symbols on the line.
To learn more Stem-leaf plot :
https://brainly.com/question/8649311
#SPJ4
he sum of two numbers is 981. One of the numbers is 703. What is the other number?
Answers
Answer:
278
Step-by-step explanation:
well you have to subtract 981 by 703 to get the other number because you know that the sum is 981. you already know one number so you have to subtract the number from the sum to get the other.
A mathematician is wondering what would happen to the surface area of a square if you were to repeatedly cut the square in half. She concludes that the surface area would become less and less but would never become zero units\(^2\). Which equation would help her model the surface area of a square piece of paper as it was repeatedly cut?
a) \(y=x^2+4x-16\)
b) \(y=-25x^2\)
c) \(y=9(2)^x\)
d) \(y=36(\frac{1}{2})^x\)
Answers
The equation that would help the mathematician model the surface area of a square piece of paper as it was repeatedly cut is \(y = 36 \times \frac{1}{2}^x\)
Option D is the correct answer.
We have,
In this equation, the variable x represents the number of times the square is cut in half, and y represents the surface area of the square.
As x increases, the exponent of 1/2 decreases, causing the value of y to decrease.
This exponential decay accurately represents the idea that the surface area becomes less and less but never reaches zero units²
Thus,
The equation that would help the mathematician model the surface area of a square piece of paper as it was repeatedly cut is \(y = 36 \times \frac{1}{2}^x\).
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ1
The correct equation that would help model the surface area of a square piece of paper as it is repeatedly cut in half is: \(\(y=36(\frac{1}{2})^x\)\)
As the square is cut in half, the side length of the square is divided by 2, resulting in the area being divided by \(\(2^2 = 4\)\).
Therefore, the equation \(y=36(\frac{1}{2})^x\)\)accurately represents the decreasing surface area of the square as it is repeatedly cut in half.
and, \(\(y=x^2+4x-16\)\)is a quadratic equation that does not represent the decreasing nature of the surface area.
and, \(\(y=-25x^2\)\) is a quadratic equation with a negative coefficient.
and, \(\(y=9(2)^x\)\)represents exponential growth rather than the decreasing nature of the surface area when the square is cut in half.
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ1
The product of 8 and x is greater than 50.
Answers
Answer:
X would have to be any number greater than 6.25
Step-by-step explanation:
8*7=56, 8*8=64, and so on.
Question 1. Order these from least to greatest:
THE IMAGE BELOW IS WHAT YOU ORDER FOR QUESTION 1
2. Order these in ascending order (least to greatest):
43/50, 0.91, 7/8, 84%
Answers
1: 2.62 2.4 0.268 2.26 2.71 (not answer)
for number 1 (greatest to least)
271% then 2.62 then 2 2/5 then 2.26 then 26.8%
2: least to greatest
.86 .91 .875 .84
84% then 43/50 then 7/8 then 0.91
YOUR TURN
3. Fifteen bicycles are produced each hour at the
Speedy Bike Works. Show that the relationship
between the number of bikes produced and the
number of hours is a proportional relationship.
Then write an equation for the relationship.
Answers
Answer:
The equation is: y = 15·x
Step-by-step explanation:
It is provided that at the Speedy Bike Works, 15 bicycles are produced each hour.
Consider the table below.
Number of Hours: 1 3 6 10
Number of Bicycles Produced: 15 45 90 150
Compute the ratio of number of bicycles produced and number of hours for every data above as follows:
\(\text{1 hour}=\frac{15}{1}=15:1\\\\\text{3 hour}=\frac{45}{3}=\frac{15}{1}=15:1\\\\\text{6 hour}=\frac{90}{6}=\frac{15}{1}=15:1\\\\\text{10 hour}=\frac{150}{10}=\frac{15}{1}=15:1\)
The ratio of the number of bicycles produced and number of hours is same for every data value.
Thus, the relationship between the number of bicycles produced and number of hours is proportional.
The equation for the relationship is:
y = 15·x
y = number of bicycles produced
x = number of hours
If angle b is two more than three times angle c, angle b and c are complimentary what is the measure of each angle
Answers
Step-by-step explanation:
"∠B is 2 more than 3 times the measure of ∠C" translates into B = 3C + 2....(1)
"...∠B and ∠C are complementary angles" translates to B + C = 90...............(2)
Now, all that's left to do is to solve for B and C. So, we'll take equation (1) and substitute it into equation (2) as follows:
(3C + 2) + C = 90
4C + 2 = 90
4C = 88
C = 22
Plugging C = 22 back into either equation (1) or (2) gives us
B = 90 - 22 = 68 (or B = 3(22) + 2 = 68)
Thus, ∠B = 68º; ∠C = 22º
Eugenia gasto 10 euros en el quiosco, compro 5 bocaditos, un paquete de galletas que costaba 1 euro y pagó 4 euros que debia ¿cuanto cuesta cada bocadito?
Answers
Answer:
the each snack cost is 1
Step-by-step explanation:
Let us assume the each snack cost be x
So according to the question
The following equation would be applied
5x + 1 + 4 = 10
5x + 5 = 10
5x = 5
x = 1
hence, the each snack cost is 1
So the same would be considered and relevant too
Identify all of the roots of the function.
f(x) = x3 – 5x2 – 2x + 24
Answers
Answer:
x=−2,4,3
Step-by-step explanation:
Answer:
x equals negative 2 4 3
Step-by-step explanation:
yes
a discrete-time random process xn is defined by xn = s n for n ≥ 0, where s is randomly selected uniformly from the interval (0, 1).
Answers
The given discrete-time random process xn is defined as xn = s n for n ≥ 0, where s is randomly selected uniformly from the interval (0, 1). This means that for each value of n, s is a random variable that can take any value within the interval (0,1) with equal probability. Thus, xn is a stochastic process that takes random values for each n.
As n increases, xn increases exponentially since it is being multiplied by a value between 0 and 1.
One important property of this process is that it is stationary. This means that the statistical properties of xn are invariant to shifts in time. Specifically, the mean and autocorrelation function of xn are constant for all values of n. The mean of xn is E[xn] = E[s]n, which equals 1/2 for this process. The autocorrelation function of xn is given by Rxx(k) = E[xn xn+k], which equals (1/3)^(k) for this process.
Overall, the given discrete-time random process xn is a stationary stochastic process that takes random values for each n, with a mean of 1/2 and an autocorrelation function that decreases exponentially with k.
To know more about discrete-time random process visit:
https://brainly.com/question/31477291
#SPJ11
What value from the set {4, 5, 6, 7, 8} makes the equation 4x + 3 = 23 true? Show your work
Answers
Answer:
Um?
Step-by-step explanation:
Which angle is formed by EA−→
and EG−→−?
Select all that apply.
Answers
Answer:
Step-by-step explanation:
\(\angle 2,\angle AEG, \angle GEB\)
Please help!! Need this turned in!! In the picture!!
Answers
Answer:
I hope this helps please name me brainliest
Step-by-step explanation:
find the volume of the square pyramid
Answers
To find the volume of square pyramid, We use the formula that given below.
\( {x}^{2} \times \frac{y}{3} \)
where x is base and y is height. So, let's substitute the values.
\( {10}^{2} \times \frac{18}{3} \)
It gives
\(600 {cm}^{3} \)
ㅤㅤㅤ~Volume of the given square pyramid is 600cm³
ㅤ
Ⲋⲟⳑⳙⲧⳕⲟⲛ :Volume of square pyramid is given by:
\( \qquad\maltese\quad{\pmb{ \sf { V = \dfrac{1}{3} ( base\:area)\times height}}}\)
Here, we have:
Height= 18 cmBase length = 10 cmArea of square = side × side Ⲧⲏⲉⲅⲉ⳨ⲟⲅⲉ,\( \quad\dashrightarrow\quad \sf {V = \dfrac{1}{3}\times 10\times 10\times 18 }\)
\( \quad \dashrightarrow \quad \sf {V =\cancel{\dfrac{1800}{3} } }\)
\( \quad \dashrightarrow \quad \sf {V = 600cm^3 }\)
ㅤㅤㅤㅤㅤㅤ~Hence, the volume of given square pyramid is 600cm³.
\( \rule{350pt}{1pt}\)
in PQR if m∠p is 14 less than five times x, m∠q is five less than x and m∠r is nine less than twice x find x and the measure of each angle.
x=
m∠p=
m∠q=
m∠r=
Answers
The value of x =26°, m∠p =116°, m∠q=21°, m∠r=43°
What is an angle?
An angle is formed when two lines meets at the same vertex. It is measured by degree. Based on the measurements angles are of three types.
Consider POR as a triangle.
Given that m∠p=5x-14, m∠q=x-5, m∠r=2x-9.
In triangle the sum of the angle is 180°, then
m∠p + m∠q +m∠r =180°
⇒5x-14+x-5+2x-9 = 180°
⇒8x-28=180°
⇒x=26°
then, m∠p=5x-14 = 5(26)-14 = 116°
m∠q=x-5 = 26-5=21°
m∠r=2x-9 = 2(26)-9=43°
Hence, the value of x =26°, m∠p =116°, m∠q=21°, m∠r=43°
Learn more about angles here:
https://brainly.com/question/14690981
#SPJ1
This morning, Maya's car had 18.41 gallons of fuel. Now, 1.7 gallons are left. How
much fuel did Maya use?
X
Answers
Let $f$ and $g$ be functions defined on a domain $A$. Prove that if $f$ is bounded, and $\displaystyle\lim_{x \rightarrow c} g(x)
Answers
If \($f$\)is bounded and \($\displaystyle\lim_{x \rightarrow c} g(x)$\) exists, then the limit of function\($f(x)g(x)$\)as \($x$\) approaches domain\($c$\)also exists and is equal to \($Lf(c)$\)
Let \($M$\)be an upper bound of \($f$\) on the domain . Since \($\displaystyle\lim_{x \rightarrow c} g(x)$\) exists, there exists a number \($L$\) such that for all \($\epsilon > 0$\) there exists a \($\delta > 0$\) such that for \($x \in A$\) with \($0 < |x - c| < \delta |g(x) - L| < \epsilon\).
Now let \(\epsilon > 0Then $|f(x)g(x) - Lf(x)| = |f(x)||g(x) - L| < M\epsilon\)
for all \(x \in A$ with $0 < |x - c| < \delta$\). So \(\displaystyle\lim_{x \rightarrow c} f(x)g(x)$ exists and is equal to $Lf(c)\)
If \($f$\) is bounded and \($\displaystyle\lim_{x \rightarrow c} g(x)$\) exists, then the limit of \(f(x)g(x)$\)as \($x$\)approaches\($c$\)also exists and is equal to \($Lf(c)$\).
The complete question is:
Let \($f$\) and \($g$\) be functions defined on a domain\($A$\). Prove that if \($f$\) is bounded, and \($\displaystyle\lim_{x \rightarrow c} g(x)$\)exists, then \($\displaystyle\lim_{x \rightarrow c} f(x)g(x)$\) exists.
Learn more about domain here
https://brainly.com/question/13113489
#SPJ4
Someone help me please
Answers
The measure of angle A is 21°
What is sine rule?The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.
Sine rule is used to find the measure of unknown angle or side of a. triangle.
Using sine rule to find the unknown angle;
a/sinA = b/sinB
19/sinA = 45/sin122
45sinA = 19sin122
45sinA = 19 × 0.840
45sinA = 16 .112
sinA = 16.112/45
sinA = 0.358
A = sin^{-1} 0.358
A = 21° ( nearest degree)
Therefore the measure of angle A is 21°.
learn more about sine rule from
https://brainly.com/question/20839703
#SPJ1
A sequence starts at 200 and 30 is subtracted each time . 200 , 170, 140 ...
What are the first two numbers in the sequence that are less than zero ?
Answers
Answer:
-10 & -40
Step-by-step explanation:
the last number before you get to 0 when continuing the -30 trend is 20. 20-30= -10. Then to get the next number simply subtract 30 again to get -40. Therefore, your answers are -10 & -40.
Answer:
-10 and - 40
Step-by-step explanation:
If 30 is subtracted.
30×6= 180
200-180=20
20-30= - 10
-10-30= - 40.
.:the first two numbers less than zero are. - 10 AND - 40
What is the volume of the solid? Let π=3.14
.
Answers
The volume of the solid as shown in the task content is; 2786.2cm³.
What is the volume of the solid?It can be obtained from the task content that the solid given is a Cone.
On this note, the volume of the cone can be evaluated by means of the formula;
V = (1/3)π r²h where(r =22/2 = 11 and h=22).
Hence, Volume, V = (1/3) ×3.14× (11)²×22 = 2786.2cm³.
Read more on volume;
https://brainly.com/question/13677400
#SPJ1
If x = -2, what is y = ?
Answers
In the curve of the sinusoidal curve when x = -2 y = 2
How to find the value y when x = -2 in the curve?A sinusoidal curve, also known as a sine wave, is a type of waveform that is commonly used to describe oscillations or periodic phenomena in various fields such as physics, engineering, mathematics, and electronics.
A sinusoidal curve is a graph of a function that oscillates between an upper value and a lower value, and repeats itself over a period of time.
In order to find the value of y when x = -2, from the x-axis at x = -2 trace it to touch the curve and then trace to the y-axis to get the y value (Check the attached).
Therefore, when x = -2, y = 2
Learn more about sinusoidal curve on:
https://brainly.com/question/29437051
#SPJ1
Anyone know any of these
Answers
Answer:
I'm surprised to inform you that yes, yes I do.
Step-by-step explanation:
If you didn't know, all those lines stand for something. Stand for an equation.
For example, let's take the first line shown, question number 5.
The line moves down on the number line, going from 4 all the way down to -6.
Since the dot is filled in, that means that the line includes 4, which means our answer's greater than or lesser than sign should have a line under it, meaning "or equal to".
A is the only reasonable answer for question 5, because it reads "X (which you could substitute for any point in the blue line) is less than or equal to 4."
If we use what we learned from question 5 for the next 3 questions, we could rightly say that the answer to 6 is D, the answer to 7 is C, and the answer to 8 is B.
If I'm wrong on any of these, feel free to scream profanities. Wouldn't be the first time.
What is BD? Please help
Answers
Answer:
12
Step-by-step explanation:
if BE is 6 then ED is also 6
6 + 6 = 12
Ok I need to know if I did this right so: 8^0 = 1 right (exponents) please help
Answers
Answer:
Yes that's correct. I just took a test on this not to long ago and got a 100%. I had this type of problem.
Step-by-step explanation:
Hope this helps!
Answer:
Yes you are correct. It would be one.
Step-by-step explanation:
first to answer will be marked brainlist
Answers
Professor M breaks chalk in class. While writing on the board, the probability that Professor M breaks the piece of chalk is 1/2. a. How many pieces of chalk do you expect Professor M to break in one class? b. How many pieces of chalk do you expect Professor M to break in one quarter - 20 classes? Assume that each class is independant
Answers
a. We expect Professor M to break 1/2 piece of chalk in one class. b. We expect Professor M to break 10 pieces of chalk in one quarter consisting of 20 classes.
a. The probability that Professor M will break a piece of chalk in one class is 1/2.
Let X be the number of pieces of chalk Professor M will break in one class. We can say that X follows a Binomial distribution with n = 1 and p = 1/2.
We can calculate the expected value of X as follows:
Expected value (E(X)) = np= 1(1/2)= 1/2
Therefore, we expect Professor M to break 1/2 piece of chalk in one class.
b. We are given that Professor M teaches 20 classes in one quarter.
Let Y be the number of pieces of chalk Professor M will break in one quarter.
Since each class is independent, we can say that Y follows a Binomial distribution with n = 20 and p = 1/2.
We can calculate the expected value of Y as follows:
Expected value (E(Y)) = np= 20(1/2)= 10
Therefore, we expect Professor M to break 10 pieces of chalk in one quarter consisting of 20 classes.
To know more about probability visit:
brainly.com/question/30034780
#SPJ11
Alex purchased 3 packs of baseball cards that cost $2.50 each. He also purchased 2 packs of card protectors that cost $3.00 each. If tax was included in the prices, how much change did Alex receive after paying with a $20 bill?
Answers
Answer:
6.50
Step-by-step explanation:
You have to add/multiply 2.50 by 3 to get the total cost of the cards. 2.50*3=7.5. then, you need to add/multiply 3.00 by 2 to get 6. 7.5+6= 13.5. 20-13.5=6.50.
the change was $6.50