By integrating the rate, we will see that waste pumped from t = 0 to t = 8 is A = 24.279
How to get the waste pumped in that interval?
We have the function:
R(t) = 3 + 2*cos(2pi*t/15)
This is the rate at which the waste is removed, then the waste that the station pumps between t = 0 and t = 8 is given by:
[tex]A = \int\limits^8_0 {3 + 2*cos(2pi*t/15)} \, dt[/tex]
That integral gives:
[tex]A = \int\limits^8_0 {3 + 2*cos(2pi*t/15)} \, dt \\\\A = 3*(8 - 0) + 2*(15/2pi)*(sin(2pi*8/15) - sin(2pi*0/15))\\\\\\A = 24.279[/tex]
If you want to learn more about integrals, you can read:
https://brainly.com/question/3647553
Concert tickets cost $70 each. A college student ordered some tickets online. There
was a service fee of $3.50 per ticket. The student has $367.50. How many tickets
did can he order?
Answer:
The college student can get 5 concert tickets
Step-by-step explanation:
$367.50÷(70+$3.50)
Find the slope of the line that passes through the points (-9,-4) and (-16,-8)?
Pieter wrote the equation 7h – 5(3h – 8) = –72 to model the number of hours it takes to dig a well to a level of 72 feet below sea level. How many hours will it take to dig the well?
4
10
14
17
Answer:14
Step-by-step explanation:
Answer:
14
Step-by-step explanation: Correct
HEY GUYS HELP ME ON THIS ONE PLS DO IT FAST
Answer:
The answer is 72
Step-by-step explanation:
The formula to find the area of a trapezoid
[tex]A= \frac{1}{2}h(b_{1} + b_2{} )[/tex]
First, we can add the bottom base together
5 + 8 + 3 = [tex]16_{2}[/tex]
We know that the height of the trapezoid is 6 and base1 is 8
[tex]A= \frac{1}{2}6(16 + 8)[/tex]
[tex]A=\frac{1}{2}6(24)[/tex]
[tex]A=3(24)[/tex]
[tex]A=72[/tex]
OR
Find the area of the two triangles
[tex]A=\frac{1}{2}5(6)\\\\A=5(3)\\\\A=15\\\\[/tex][tex]A=\frac{1}{2}3(6)\\\\A=3(3)\\\\A=9\\[/tex]
15 + 9 = 24
For the area of the rectangle
6 x 8 = 48
48 + 24 = 72
20 students in total. 10
play sports and 12 play music. 2 of them
don't play anything and some are play
both. What's the percentage for students
play both?
Answer:
20%
the above was solved using set
Angle MNP ~ Angle HJK.
Both triangles are isosceles. if m
Answer:
Angles H, J, M, N
Step-by-step explanation:
Since m<p is 90 degrees it must be the largest angle so both triangles have angle 45-45-90. m<P is equal to m<K. This means that angle h, j, m, and n are equal.
angles M, N, and J.
try drawing diagrams to help you figure out the problem :)
The amount of television viewed byâ today's youth is of primary concern to Parents Against Watching Televisionâ (PAWT). 300 parents of elementaryâ school-aged children were asked to estimate the number of hours per week that their child watches television. The mean and the standard deviation for their responses were 12 and 3â, respectively. PAWT constructed aâ stem-and-leaf display for the data that showed that the distribution of times was aâ symmetric, mound-shaped distribution. Give an interval where you believe approximatelyâ 95% of the television viewing times fell in the distribution.
a. less than 9 and more than 15 hours per week
b. between 3 and 21 hours per week
c. between 6 and 18 hours per week
d. less than 18
Answer:
Option C. between 6 and 18 hours per week
Step-by-step explanation:
We are given that distribution of times is symmetric and mound shaped and this implies that data is normally distributed.
We also know that in the normal distribution the 95% of data lies within 2 standard deviations i.e. mean± 2*standard deviation.
So, 95% of the television viewing times falls in interval
mean± 2*standard deviation
12±2*3
12±6
[6,18]
Thus, [6,18] is an interval where you believe approximately 95% of the television viewing times fell in the distribution.
pahelp pooo, thank u
Answer:
1. 25 cm^2
2. 9 m
3. 4.8x5=24 m^2
4. 56/6=9.33 cm
5. 8x7.2=57.6 m^2
can someone answer this question plsss now now
Answer:
Abe I would estimate 20 and actual time would be 21
Lane I would estimate 15 and the actual time would be 17
Norma I would estimate 15 and actual time would be 13
Amado I would estimate 40 and actual time would be 40
Cesar I would estimate 25 and actual time would be 25
Step-by-step explanation:
Hope this helps a bit!
A frame around a rectangular family portrait has a perimeter of 138 inches. The length is nine more than three times the width. Find the length and width of the frame.
Given :
Perimeter of the frame is 138 inches.The length is nine more than three times the width⠀
To Find :
The Length and width of the frame .⠀
Solution :
We know that,
[tex]\qquad{ \bold{ \pmb{2(Length + Breadth ) = Perimeter_{(rectangle)}}}}[/tex]
Let's assume the width of the rectangle as x inches. Then the length will become (3x + 9).
⠀
Now, Substituting the given values in the formula :
[tex]\qquad \dashrightarrow{ \sf{2(3x + 9 + x )= 138}}[/tex]
[tex]\qquad \dashrightarrow{ \sf{2(4x + 9 )= 138}}[/tex]
[tex]\qquad \dashrightarrow{ \sf{8x + 18= 138}}[/tex]
[tex]\qquad \dashrightarrow{ \sf{8x = 138 - 18}}[/tex]
[tex]\qquad \dashrightarrow{ \sf{8x = 120}}[/tex]
[tex]\qquad \dashrightarrow{ \sf{x = \dfrac{120}{8} }}[/tex]
[tex]\qquad \dashrightarrow{ \bf \: x = 15}[/tex]
⠀
Therefore,
[tex]\qquad { \pmb{ \bf{ Width _{(frame)} = x = 15 \: inches}}}\:[/tex]
[tex]\qquad { \pmb{ \bf{ Length _{(frame)} = (3x + 9) \: = 3(15) + 9 = 54 \: inches}}}\:[/tex]
Taryn had 7/8 of a pound of sugar. She used some
of the sugar to make muffins. She has 3/8 of a
pound of sugar left. How much sugar did she use to
make muffins?
Answer: 1/2
Step-by-step explanation:
7/8 - 3/8 = 4/8
4/8 = 1/2
Answer:
she used 4/8 of the sugar
Step-by-step explanation:
What is the value of x in the figure?
Enter your answer in the box.
x=
A little square marked on angle means that the angle is 90 degrees.
By the vertical angle theorem, angles opposite each other are equal thus the angle opposite the angle with the little square is also 90 degrees.
That angle is split into two angles that is off measure 22 degrees and x degrees
-- x + 22 = 90 --> x = 68.
Hope that helps!
Answer:
68
Step-by-step explanation:
[tex] \hookrightarrow \: x + 22 = 90(complementary \: angles) \\ [/tex]
[tex] \hookrightarrow \: x + 22 = 90 \\ \hookrightarrow \: x = 90 - 22 \\ \hookrightarrow \: x = 68[/tex]
plss help me plss #2
Answer:
8
Step-by-step explanation:
2 ÷ 1/4 = 8
You can draw 2 squares and make them into quarters for your diagram. Hope this helped!
Answer: There are 8 1/4 inches in 2 inches.
Step-by-step explanation:
1/4 x 4 = 1, so 1/4 x 8 = 2
Diagram can be made to look as splitting 2 inches into 8 parts.
Find the area of the kitchen
12. You purchase a new computer for $2,100. The function f(x) = 2100(.5)* gives the value of the
computer
each year, where x is the number
of years since the computer was purchased. What is
the value of the computer after four years?
A. $1050
B. $525
C. $262.50
D. $131.25
Answer:
I think it's C but I never did this before so don't trust me
Step-by-step explanation:
2100 * 5 = 1050 and I divided 1050 by 4 which gave me $262.50
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each pair of points A and B to point C such that ∠ABC = 90°. A(3, 3) and B(12, 6) C(6, 52) A(-10, 5) and B(12, 16) C(16, -6) A(-8, 3) and B(12, 8) C(18, 4) A(12, -14) and B(-16, 21)
9514 1404 393
Answer:
A(3, 3) and B(12, 6), C(16, -6)A(-10, 5) and B(12, 16), C(18, 4)Step-by-step explanation:
As the attached diagram shows, a perpendicular line from B intersects a choice of C only for B1(12, 6) and B2(12, 16). We note that there are only 3 choices of point C shown, instead of 4, so the question may be incomplete.
__
It seems easiest to graph the points and use a square (right-angle tool) to identify points C that may be appropriate.
It can also work to use a spreadsheet to do the slope calculations. You want to find a point C such that BC ⊥ AB, for a given AB pair. That is, the slope of BC is the negative reciprocal of the slope of AB.
The 2nd and 3rd C points listed make right angles with the 1st and 2nd AB pairs listed, respectively.
when a cannonball is fired, the equation of its pathway can be modeled by h=-16t^2+128t
Answer:
there is no way to further simplify the equation
Step-by-step explanation:
Juanita walks 3 hours and burns 750 calories
Answer:
And............ What?
soIve for x. Show your work or no credit 1) -8x + 10x - 5 = 35
Answer:
x=20
Step-by-step explanation:
Which graph represents a proportional relationship?
Answe point me
Step-by-step explanation:
Answer:A
Step-by-step explanation:
Solve the linear inequality. Other than ∅, graph the solution set on a number line.
Find the solution set in interval notation.
12x-8≤6x-15
The solution for the linear inequality, in interval notation, is [tex]\:(-\infty \:,\:-\frac{7}{6}][/tex].
InequalityIt is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use of follow symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than) and > (greater than).
The solutions for inequalities can be given by: graph in a number line or numbers.
For solving this exercise, it is necessary to find a number solution for the given inequality.
12x-8≤6x-15
12x-6x≤ -15+8
6x≤-7
x≤ -7/6
Read more about inequalities here.
brainly.com/question/25275758
What is the probability of getting a 7 of spades in a deck of 52 cards?
Answer:
I'm sure it's 1/52
Step-by-step explanation:
because if there is 52 cards and one 7 of spades then it would be a 1 out of 52 chance
what's the área of this triangle?
Answer:
192 SQUARE FEET
Step-by-step explanation:
Area of a triangle= 1/2 ×base×height
1/2 of the base =32/2 ft
=16 ft
Let the height be A ft and another side(16 ft) be B ft
We know that, A^2 + B^2 =Hypotenuse^2
OR, A^2 + 16^2 = 20^2
OR, A^2= 400-256
OR, A^2 =144
OR, A= Square root of 144
OR, A=12 ft
By the problem,
1/2 ×Base×Height =Area of half of the triangle
1/2 ×16×12= Area of half of the triangle
96=Area of half of the triangle
AREA OF THE TRIANGLE=96 ×2
AREA OF THE TRIANGLE=192 SQUARE FEET.
HOPE IT HELPS
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what would be twice a number?
Answer:
2x
Step-by-step explanation:
Substitute the x for a number like 2 and you multiply the 2 numbers together to get the total and in this case it would be 4.
Have a great day!!
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Kiara has already written 37 pages, and she expects to write 1 page for every additional hour spent writing. How many hours will Kiara have to spend writing this week in order to have written a total of 50 pages?
Answer:
13 hours
Step-by-step explanation:
Since Kiara has already written 37 pages she only needs 13 more to get to 50 pages. If she takes one hour per page then it will take her 13 hours to write 13 pages.
Based on the measures shown, could the figure be a parallelogram?
A Yes, one pair of opposite sides could measure
10 in., and the other pair could measure 13 in.
B Yes, one pair of opposite sides could measure
10 in., and the other pair could measure 8 in.
C No, there are three different values for x when each expression is set equal to 10.
D No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
If 5000 is borrowed with an interest of 12.3% compounded semi-anually
Answer:
312.5
Step-by-step explanation:
P=5000
r=12.5%=0.125
t=6month=0.5years
I=P•r•t
I=(5000)(0.125)(0.5)
I =$312.5
Determine whether f(x) = –52 – 10x + 6 has a maximum or a minimum value. Find that value and explain how you know.
Answer:
minimum
Step-by-step explanation:
Because of the negative infront of 52. The graph opens downward which makes it minimum. Hope this helps
Please help asap! I will gave brainlest!
Four years ago Ravi was 8 years older than Priya. If he is now 3times as old as she is, find their present ages?
Answer:
24
Step-by-step explanation:
Hope this helps and please mark me brainliest :D