Answer:
H(t) = 43in + (2in/year)*t.
Step-by-step explanation:
im right
A water storage tank has the shape of a cylinder with diameter 22 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 21 ft, what percentage of the total capacity is being used?
The percentage of the total capacity being used is mathematically given as 98.4 %
What percentage of the total capacity is being used?Generally, the equation for the Lateral area is mathematically given as
Lateral area =[tex]\frac{\theta}{2} \gamma^2-(\gamma-h) \sqrt{h(2-h)}\\[/tex]
Where
[tex]\theta=2 \cos ^{-1}\left(1-\frac{h}{\gamma}\right)=2 \cos ^{-1}\left(1-\frac{1}{11}\right)\\\\\&\Rightarrow F=\frac{\theta}{2}(11)^2-(11-1) \sqrt{1(2-1)}\\\\&\Rightarrow F=\frac{2\left(\cos ^{-1}(10 \% 11)\right.}{2}(11)^2-(10) \sqrt{1}\\\\&\Rightarrow F=6.167 \mathrm{ft}^2[/tex]
Hence Volume of the whole cylinder is
V=\pi 11^2 l
V=121 \pi l
Generally, the equation for Total capacity is mathematically given as
[tex]V_1=\pi(11)^2 L[/tex]
[tex]=121 \pi 2ft^2[/tex]
Area of cross-section:-
[tex]\begin{aligned}A &=\int_{-11}^{10}\left[\sqrt{1^2-y^2}-\left(-\sqrt{u^2-y^2}\right)\right] d y \\&=2 \int_{-71}^{10} \sqrt{1^2-y^2} d y . \\A & \cong 373.96 \mathrm{ft}^2\end{aligned}[/tex]
In conclusion, the Percentage of total capacity
[tex]\% TC=\frac{121 \pi l-6.167 l}{121 \pi l} \times 100 \\[/tex]
[tex]\% TC =\frac{373.77}{3799+100}=98.37 \%[/tex]
Read more about total capacity
https://brainly.com/question/13263207
#SPJ1
When a female asks me why am i dry does she mean why am i dry at texting?
Answer asap
Answer:
if u might be giving replies in short like hmm... gn and all she meant that only ig
hope it helps.....
PLEASE HELP ITS A QUIZ GRADE
Parallel lines I and m are cut by transversals s and t to form the diagram below
What is the value of x
1. 58
2. 64
3. 96
4. 116
Answer:
3. 96
Step-by-step explanation:
x= 180°-84°
x=96°
so number 3 is the right answer.
PLEASE SOLVE IT STEP BY STEP
Answer:
45
Step-by-step explanation:
3 students have both cats and dogs, so we will subtract 3 from the number of students who have cats and 3 from the number of students who have dogs because they shouldn't be surveyed multiple times.
This way, there are 20 students with cats, 17 students with dogs, 3 students with both, and 5 students with neither.
20+17+3+5=45
the line on a graph passes through the points (1,3) and (7,1)
The midpoint of the points (1,3) and (7,1)
M=(2,4)
This is further explained below.
What is the midpoint of points (1,3) and (7,1)?Generally, the equation for is midpoint mathematically given as
[tex]M=\frac{x1-x2}{2}, \frac{y1-y2}{2}[/tex]
Therefore
[tex]M=\frac{1+3}{2}, \frac{7+1}{2}[/tex]
M=(2,4)
In conclusion,the midpoint of points (1,3) and (7,1)
M=(2,4)
Read more about midpoint
https://brainly.com/question/28224145
#SPJ1
CQ
The line on a graph passes through the points (1,3) and (7,1)
What is the midpoint of the points
Choose two of the points that represent the overall pattern of the data. Type the points in below. Imagine a line connecting the points on the graph above, extending the all the way to the ends of the graph. Determine the equation of the line and give the function below. Round your slope and y-intercept to the nearest whole number.
The linear function that connects the points with coordinates (0,3) and (1,8) is given by:
y = 3 + 5x.
What is the missing information?The points on the graph are missing, and the problem couldn't be found on a search engine, hence we are going to suppose that the points are (0,3) and (1,8).
What is a linear function?A linear function is modeled according to the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.Considering points (0,3) and (1,8), we have that:
When x = 0, y = 3, hence the y-intercept is of b = 3.When x increases by 1, from 0 to 1, y increases by 5, from 3 to 8, hence the slope is of m = 3.Hence the linear function that connects the points with coordinates (0,3) and (1,8) is given by:
y = 3 + 5x.
More can be learned about linear function concepts at https://brainly.com/question/24808124
#SPJ1
find the number of rectangles and squares an 8 by 8 chess board respectively.
Answer:
1296
Step-by-step explanation:
number of horizontal lines in chess board is = 9
number of vertical lines in chess board is = 9
36 x 36 = 1296
PLEASE HELP ME I GIVE GOOD POINTS THERE ARE 2 IMAGES
Answer:
Function maximum of 7 at x = - 3Function minimum of - 1 at x = 5The function is increasing on the intervals:Step-by-step explanation:
Function maximum
jelo on sll of tjede
Answer:
Step-by-step explanation:
go to school
If we draw one individual at random, what is the probability that the respondent has excellent health or doesn't have health coverage?
Based on the number of respondents with excellent health and those don't have health coverage, the probability that the respondent has excellent health or doesn't have health coverage is 33.61%
How to find the probability?Out of 20,000 respondents, 2,524 people did not have health coverage. Out of those same 20,000 people, 4,198 respondents had excellent health coverage.
The probability that the respondent has excellent health or doesn't have health coverage is therefore:
= Probability that random person does not have health coverage + Probability that a respondent has excellent health coverage
= (2,524 + 4,198) / 20,000
= 33.61%
Find out more on probability at https://brainly.com/question/25839839
#SPJ1
help pleaseeeeeeeeeeeeeeee
Answer:
c is the answer
Step-by-step explanation:
hint is the direction of movement
8y - 5 < 3
Help please!!
Answer:
y < 1
[tex]( - \infty \: 1)[/tex]
Step-by-step explanation:
8y - 5 < 3
8y < 8
y < 1
[tex]( - \infty \: 1)[/tex]
Find the product of 5 and the difference between 15 and 7.
Answer:
40
Step-by-step explanation:
product of 5 and the difference between 15 and 7.
= 5(15-7)
= 5(8)
= 40
if x=2u²+1 and y=5u³+1, find dy/dx
Answer:
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{15}{4}[/tex] u
Step-by-step explanation:
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{dy}{du}[/tex] × [tex]\frac{du}{dx}[/tex]
differentiate using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex] , and [tex]\frac{d}{dx}[/tex] (constant) = 0
given
x = 2u² + 1
[tex]\frac{dx}{du}[/tex] = 4u , then
[tex]\frac{du}{dx}[/tex] = [tex]\frac{1}{4u}[/tex]
y = 5u³ + 1
[tex]\frac{dy}{du}[/tex] = 15u²
then
[tex]\frac{dy}{dx}[/tex] = 15u² × [tex]\frac{1}{4u}[/tex] = [tex]\frac{15}{4}[/tex] u
3x+4=5x-6 solve for x
I need help answering some math questions,
Answer:lake a:7 lake b:9 lake c 21
Step-by-step explanation:
2x + 3y = 7
6x +9y=6
Answer:
The answer is No Solution.
Step-by-step explanation:
We can't add the two systems, so let's look for x. We would need to multiple them by (-6) and 2, which are the numbers in front of x. One must be a negative.
(2x + 3y = 7) * (-6)
(6x + 9y = 6) * 2
_____________
(-12x) + (-18y) = -42
(12x + 18y = 12
Both the x and y cancel each other out, and we're only left with -42 and 12, which doesn't really solve for x.
You can check the answer by checking for y. So, this time, we'll multiply the equations by (-9) and 3, which are the numbers in front of y.
(2x + 3y = 7) * (-9)
(6x + 9y = 6) * 3
___________
(-18x) + (-27y) = -63
18x + 27y = 18
Both x and y cancel out, and we're left with -63 and 18.
Write the ratio as a fraction in lowest terms.
46 minutes to 3 hours
The ratio as a fraction in lowest terms is 23 : 90
Much like fractions, ratios are a comparison of two quantities containing differences in characteristics or properties. Change any worded ratios, such as "one of two" or "one to two," into numerical ratios. For example, if a sentence reads "There are two oatmeal cookies for every four chocolate chip cookies," it would be written as 2:4 ratio of oatmeal cookies to chocolate chip cookies. Convert your ratios to fractions by replacing the "colon" symbol with a "divide" symbol. For example, a ratio of 2:4 is the same as 2/4. Simplify your fraction by dividing the top and bottom by the same number until you cannot divide any longer. For example, you can divide 2/4 by the number "2" on both the numerator and denominator. The result would be a simplified fraction of 1/2.
So,
46 minutes : 3 hours
= [tex]\frac{46 \ minutes}{ 3 \ hours}[/tex]
We know, 1 hour = 60 minute, 3 hours = 3 × 60 minutes = 180 minutes,
= [tex]\frac{46 \ minutes}{ 180\ minutes}[/tex]
= [tex]\frac{46 }{ 180}[/tex]
= [tex]\frac{23}{ 90}[/tex]
=23:90
Therefore , the ratio as a fraction in lowest terms of 46 minutes to 3 hours is 23:90.
Learn more about fraction in lowest terms here https://brainly.com/question/1474763
#SPJ1
The ratio as a fraction in lowest terms is 23 : 90
Much like fractions, ratios are a comparison of two quantities containing differences in characteristics or properties. Change any worded ratios, such as "one of two" or "one to two," into numerical ratios. For example, if a sentence reads "There are two oatmeal cookies for every four chocolate chip cookies," it would be written as 2:4 ratio of oatmeal cookies to chocolate chip cookies. Convert your ratios to fractions by replacing the "colon" symbol with a "divide" symbol. For example, a ratio of 2:4 is the same as 2/4. Simplify your fraction by dividing the top and bottom by the same number until you cannot divide any longer. For example, you can divide 2/4 by the number "2" on both the numerator and denominator. The result would be a simplified fraction of 1/2.
So, 46 minutes : 3 hours
[tex]=\frac{46 \ minutes}{3 \ hours}[/tex]
We know, 1 hour = 60 minute, 3 hours = 3 × 60 minutes = 180 minutes,
[tex]=\frac{46 \ minutes}{180 \ minutes}\\[/tex]
= [tex]\frac{46 }{180}[/tex]
= [tex]=\frac{23}{90}[/tex]
=23:90
Therefore , the ratio as a fraction in lowest terms of 46 minutes to 3 hours is 23:90.
Learn more about fraction in lowest terms here brainly.com/question/1474763
#SPJ1
I need help I don’t understand at all it’s due 30 mins?
Answer:
First box: 15
Second box: 8
Third box: 3
Fourth box: 5
Fifth box: (x+3)(x+5)
Step-by-step explanation:
Factor the trinomial so that it will multiply nicely. 3 and 5 add up to 8 while they multiply to 15
if x=-2/3 and y=0.6 what would 1/4xy equal in simplest form
Answer:
0.625
Step-by-step explanation:
x=2/3, y=0.6
then 1/4xy = 1/(4×2/3×0.6)
= 0.625
You burn 300 Calories will exercising for 40 minutes. What is your average power while exercising, in watts? Select one: A. 523 watts B. 784.5 watts C. 627.6 watts D. 418.4 watts
Based on the number of calories that you burn after exercising for 40 mins, your average power would be A. 523 watts.
What is your average power?A single calorie is 4.184 Joules
This means that 300 calories will be:
= 300 x 4.184
= 1,255.20 Joules
The power is therefore:
= 1,255.20 / (40min x 60 secs)
= 0.523
= 523 watts
Find out more on average power at https://brainly.com/question/13976868
#SPJ1
simplify the following expressions 1.)4m+14n+15m 2.)10s(17s-3) 3.) 5-12(17-6k) 4.)6p-9pq+4+q+2pq 5.) -19c -4c+9+16c 6.)16(-8t+10)+18t
hope this helps
Answer:
1.)19m+14n
2.)170^2-30s
3.)-199+72k
4.)-7pq+6p+q+4
5.)-7c+9
6.)-110t+160
Step-by-step explanation:
You are building a house. The scale factor of the blueprint is 0.75 in = 2 ft. If the dimensions of the blueprint bedroom are 6 in by 9 in, how much carpeting will you actually require for the floor?
How many times does 0.75 divide into 6?
6.0/0.75 = 8
8 x 2 = 16 ft
How many times does 0.75 divide into 9?
9.0/0.75 = 12
12 x 2 = 24
ANS 16ft x 24ft = 384 sq ft Answer:
Step-by-step explanation:
CAN SOMEONE HELP PLS, THE PICTURE IS ALREADY ATTACHED JUST GIVE ME THE ANSWER AND EXPLAIN!!
Answer:
he walks 4.5 feet every second
Step-by-step explanation:
ill give 10 points and brainly
Answer:
600 feet
Step-by-step explanation:
If you moved Both Samantha and Ryu two units to the left, you would see that the distance would be equal from 0 to -600. Distance cannot be negative so the distance between the two would be 600 feet.
Which of the following describes the translation shown? A. T₍₁₁, ₅₎ B. T₍₋₁₁, ₋₅₎ C. T₍₋₁₁, ₅₎ D. T₍₁₁, ₋₅₎
The translation of a point a units right and b units down is given by [tex]T_{(a,-b)}[/tex]
What is a triangle?A triangle is a polygon that has three angles and three sides. The sum of angles in a triangle is 180 degrees. Types of triangles are isosceles, equilateral and scalene
Translation is the movement of a figure either up, right, left or down in the coordinate plane. Translation, reflection and rotation are rigid transformations while dilation is not a rigid transformation.
The translation of a point a units right and b units down is given by [tex]T_{(a,-b)}[/tex]
Find out more on triangle at: https://brainly.com/question/17335144
#SPJ1
−4(x−3)−1=4−7(x−5) solve for x
Answer:
9.33
Step-by-step explanation:
[tex]-4(x-3)-1 = 4-7(x-5)\\-4x+12-1 = 4-7x+35\\-4x+7x = -12+1+4+35\\ 3x = 28\\x = 28/3\\x = 9.33[/tex]
Which expression represents
60
6060 divided by the product of
4
44 and
3
33?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
60
÷
(
4
×
3
)
60÷(4×3)60, divided by, left parenthesis, 4, times, 3, right parenthesis
(Choice B)
B
(
4
×
3
)
÷
60
(4×3)÷60left parenthesis, 4, times, 3, right parenthesis, divided by, 60
(Choice C)
C
(
60
÷
4
)
×
3
(60÷4)×3left parenthesis, 60, divided by, 4, right parenthesis, times, 3
thanks you
The correct expression to represent 60 divided by the product of 4 and 3 is;
⇒ 60 ÷ (4 x 3)
Option A is true.
What is mean by Number system?
A system of writing to express the number is called Number system.
The written expression is given as;
''60 divided by the product of 4 and 3''.
Now, The product of 4 and 3 is written as;
⇒ 4 x 3
Since, 60 is divided by product of 4 and 3.
Hence, It can be written as;
⇒ 60 ÷ (4 x 3)
So, The correct expression to represent 60 divided by the product of 4 and 3 is;
⇒ 60 ÷ (4 x 3)
Option A is true.
Learn more about the number system visit:
https://brainly.com/question/2164351
#SPJ1
Suppose the absolute price of good X is $18, the absolute price of good Y is $72, and the absolute price of good Z is $180.
The relative price of good X in terms of good Y is 1X =_______
Y.
The relative price of good Y in terms of good Z is 1Y =________
Z.
The relative price of good Z in terms of good X is 1Z =_________
X.
The relative price of good X in terms of good Y is 4Y
The relative price of good Y in terms of good Z is 2.5Z
The relative price of good Z in terms of good X is 0.1X
What are the relative prices?The relative price of a good is the price of a good in terms of the price of another good. The relative price of a good is the ratio of the price of two goods or services.
The relative price of good X in terms of good Y = Price of good Y / price of good X
$72 / 18 = 4Y
The relative price of good Y in terms of good Z = price of good Z / price of good Y
$180 / $72 = 2.5Z
The relative price of good Z in terms of good X = price of good X / price of good Z
$18 / $180 = 0.1X
To learn more about relative price, please check: https://brainly.com/question/14923610
#SPJ1
The area of a circle is 2122.64 sq cm. What is the circumference?
*explain in words*
the circumference of circle of area 2122.64 sq. cm. is 163.36 cm.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Area of circle is calculated using formula :
A = πr²
It is given that Area of circle is 2122.64 sq cm. then the radius will be :
A = πr²
2122.64 = π(r)²
r = √2122.64 / π
r = 26 cm
Now, calculating the circumference of the circle using formulae :
C = 2πr
C = 2π x 26
C = 163.36 cm
Therefore, the circumference of circle of area 2122.64 sq cm is 163.36 cm.
Read more about area of circle at:
https://brainly.com/question/472270
#SPJ1