Answers
Answer:
Colin will have to wait for 2 hours for the pond to completely empty
Step-by-step explanation:
Volume of a Prism
The volume of a prism of base area Ab and height H is computed with the formula:
V=Ab.H
We are given a pond in the shape of a prism with a trapezoidal base (front view).
The area of a trapezoid of bases b1 and b2, and height a, is given by:
[tex]\displaystyle A_b=\frac{b_1+b_2}{2}.a[/tex]
The parallel bases of the trapezoid have measures of b1=0.6 m and b2=1.4 m, and the height is a=2 m, thus the area is:
[tex]\displaystyle A_b=\frac{0.6+1.4}{2}*2[/tex]
[tex]A_b=2\ m^2[/tex]
The height of the prism is H=1m, thus the volume of the pond is:
[tex]V=2\ m^2*1\ m[/tex]
[tex]V=2\ m^3[/tex]
It's also known the level of the pond goes down by 20 cm (0.2 m) in the first 30 minutes. Note at this moment the level is still at the rectangular prism zone of the pond, thus the volume of water is calculated as the area of the face of water by the height it went down:
[tex]V_w=1\ m*2\ m*0.2\ m = 0.4\ m^3[/tex]
The pond still has this volume of water:
[tex]V_p=2\ m^3-0.4\ m^3=1.6\ m^3[/tex]
The pond was drained [tex]0.4\ m^3[/tex] in 30 minutes, thus the rest of the water will be taken out in
[tex]\frac{1.6}{0.4}*30 =120\ min[/tex]
Thus, Colin will have to wait for 2 hours for the pond to completely empty
Related Questions
Which of the following expression is a perfect square?
A. 4x
B. 4x2
C. 6x4
D. 8x
Answers
The local candle store marks up the price of its candles by 75% before selling them. If the store paid
the distributor $6.99 per candle, how much will a candle cost in the store?
Answers
Answer:
$12.23
Step-by-step explanation:
75/100 = 0.75
0.75 x 6.99 = 5.2425
6.99 + 5.2425 = 12.2325
Order the following from biggest to smallest = 10 g = 10 kg = 10 mg
Answers
Answer:
10 kg = 10g = 10 mg
Hope this helped ;)
Is it a, b, c, d, plz answer this
Answers
Answer:
d 4x^2 + 24x - 8
Step-by-step explanation:
Perimeter of the rectangle = 2x² - 5 + 12x + 1 + 2x² - 5 + 12x + 1
= (2x²+ 2x²) + (12x+ 12x) + (- 5 + 1 - 5 + 1)
= 4x² + 24x - 8
Graph a line that constans the point (-7,-4) and has a slope of -2/3
Answers
Answer:
2-3 -7-4 is the answer I hope it helps
3 lines are shown. A line with points T, R, W intersects a line with points S, R, W at point R. Another line extends from point R to point U between angle T, R, V. Angle V R W is (3 x) degrees and angle T R S is (2 x + 18) degrees.
What is m∠SRW?
18
54
126
108
Answers
Answer:
m∠SRW = [tex]126^{o}[/tex]
Step-by-step explanation:
Given: <VRW = 3x
<TRS = (2x + 18)
What is m∠SRW?
<TRS = <VRW (vertically opposite angles)
2x + 18 = 3x
18 = 3x - 2x
x = 18
<VRW = 3x = 3 x 18 = [tex]54^{o}[/tex]
<TRS = (2x + 18) = 92 x 18 + 18)
= [tex]54^{o}[/tex]
Also,
<TRV = <SRW (vertically opposite angles)
So that,
<TRU + <URV = <SRW
But,
<TRV + <SRW + <TRS + <VRW = [tex]360^{o}[/tex]
<TRV + <SRW + [tex]54^{o}[/tex] + [tex]54^{o}[/tex] = [tex]360^{o}[/tex]
<TRV + <SRW + [tex]108^{o}[/tex] = [tex]360^{o}[/tex]
<TRV + <SRW = [tex]360^{o}[/tex] - [tex]108^{o}[/tex]
<TRV + <SRW = [tex]252^{o}[/tex]
2 <SRW = [tex]252^{o}[/tex] (∵ <TRV = <SRW)
<SRW = [tex]\frac{252}{2}[/tex]
= [tex]126^{o}[/tex]
Therefore,
m<SRW = [tex]126^{o}[/tex]
Answer:
short answer its 126 so C.
Step-by-step explanation:
THIS IS FOR FUTURE PPL ON EDGE 2022!! JUST HAD IT
13. Describe the number of solutions for the equation. (1 point)
3(x – 3) = 3x
O one solution
O no solution
O infinite solutions
What one
Answers
Answer:
no solution
Step-by-step explanation:
Given
3(x - 3) = 3x , that is
3x - 9 = 3x ( add 9 to both sides )
3x = 3x + 9 ( subtract 3x from both sides )
0 = 9 ← not possible
This indicates the equation has no solution
If the two factors (below, not the picture tho) 6 and 10,000,000 make 60,000,000 what is the second factor is the equation?
Answers
Answer:
It's 6 to the power of 7
Step-by-step explanation:
60,000,000
There are 7 zeros
The amount of variation in the dependent variable that cannot be accounted for by the combination of independent variables in regression analysis is called .
Answers
Answer:
A linear function has an x-intercept of 12 and a slope of StartFraction 3 Over 8 EndFraction. How does this function compare to the linear function that is represented by the table?
x
y
Negative two-thirds
Negative three-fourths
Negative one-sixth
Negative StartFraction 9 Over 16 EndFraction
One-third
Negative StartFraction 3 Over 8 EndFraction
StartFraction 5 Over 6 EndFraction
Negative StartFraction 3 Over 16 EndFraction
It has the same slope and the same y-intercept.
It has the same slope and a different y-intercept.
It has the same y-intercept and a different slope.
It has a different slope and a different y-intercept
Step-by-step explanation:
bonsoir ce que vous pouvez m aidez
je cherche des fraction égale a 4sur16
Answers
Answer:
1 sur 4 est équivalent.
Step-by-step explanation:
J'espère que cela aide !! Puis-je avoir la couronne?
4/16 et être réduit à 1/4!
A lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 100x, where x represents the number of years after 2000. Which of the following is the most reasonable domain and range for the function?
Answers
Answer: x ≥0,y ≥3000
Step-by-step explanation:
that’s what i put and got it right so ♀️
Harper surveyed 380 of the students in her school about their favorite color. 323 students said their favorite color was red. What percentage of the surveyed students said their favorite color was red?
Answers
Answer:
85%
Step-by-step explanation:
Method 1: Set up a proportion
Set up an equation of the form:
part
whole
=
whole
part
=
percent
100
100
percent
Assign the variable
x
x to the unknown value:
x
=
x=
percent
percent
The question asks what
percent
percent of all the students is 323
Substitute the known values with the numbers given in the problem, and the unknown value with
x
x:
323
380
=
380
323
=
x
100
100
x
Solve for
x
x:
100
⋅
323
=
100⋅323=
380
⋅
x
380⋅x
Cross multiply
32300
380
=
380
32300
=
380
x
380
380
380x
Divide both sides by 20
85
%
=
85%=
x
x
Simplify
Method 2: Convert to decimal and multiply
Find
323
out of
380
as a decimal:
Find 323 out of 380 as a decimal:
323
380
=
380
323
=
0.85
0.85
Convert decimal to percent:
Convert decimal to percent:
0.85
×
100
=
0.85×100=
85
%
85%
Move decimal 2 places to the right
number
percent
323
85%
380
100%
find the value of variable y using appropriate identity (y-5)2-(y-3)2=12
Answers
Answer:
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow (y-5)2-(y-3)2=12 [/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow 2y-10-2y-6=12[/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow 2y-2y-10-6=12 [/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow -16=12 [/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow y's\:value\:is\:undefined [/tex]
Answer:
[tex] {(y - 5)}^{2} - {(y - 3)}^{2} = 12 \\ = ( {y}^{2} - 10y + 25) - ( {y}^{2} - 6y + 9) = 12 \\ = {y}^{2} - 10y+ 25 - {y}^{2} + 6y - 9 = 12 \\ = - 4y + 16 = 12 \\ = - 4y = 12 - 16 \\ = - 4y = - 4 \\ = y = \frac{ - 4}{ - 4} \\ = \boxed{y = 1}[/tex]
y=1 is the right answer.is it one to one or onto? why?
Answers
Answer:
Step-by-step explanation:
Given quadratic function is,
f(x) = -x² - x + 1
Range of the function has been defined as (-∞, [tex]\frac{5}{4}[/tex] ]
Domain of the function is a set of all real numbers.
From the graph of this function,
At x = -3 and x = 2, value of y = -5
But for one to one functions, every x value should map to a different value of y.
Therefore, function is not one to one.
Since, every value of domain (x-value) maps the range (y-value) in the given range (-∞, [tex]\frac{5}{4}[/tex] ], function will be defined as onto.
Therefore, this function is ONTO, but NOT ONE TO ONE.
Please! Find the values of x,y and Z
Answers
Answer:
x = 24
y = 10
z = 17
Explanation:
It's long to explain, so heres a picture of how solved each. hope this helps!! :)
Aubree invested $4,400 in an account paying an interest rate of 2.4% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest tenth of a year, for the value of the account to reach $6,880?
Answers
Answer:
We conclude that the time required to get a total amount of $6,880.00 from compound interest on a principal of $ 4,400.00 at an interest rate of 2.4% per year and compounded 4 times per year is 18 years and 8 months.
Step-by-step explanation:
We know the formula
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
where
A denotes the Accrued Amount (principal + interest) P denotes the Principal Amount r denoted the Annual Interest Rate t denotes the Time Period in yearsn denotes the number of compounding periods per unit tGiven
Total amount A = $6,880
Principle amount P = $4,400
Interest Rate r = 2.4% = 0.024 per year
Compounded quarterly = n = 4
Thus, the time period can be fetched using the simplified-derived equation suchs as:
t = ln(A/P) / n[ln(1 + r/n)]
substituting the values
t = ln(6,880.00/4,400.00) / ( 4 × [ln(1 + 0.006/4)] )
t = 18.8 years
Therefore, we conclude that the time required to get a total amount of $6,880.00 from compound interest on a principal of $ 4,400.00 at an interest rate of 2.4% per year and compounded 4 times per year is 18 years and 8 months.
Answer:
The answer is actually 18.7 -.-
Step-by-step explanation:
.If 65+5y = 82, 3x +23= 54 and 5z +43= 110, find 3x+ 5y +5z
Answers
Step-by-step explanation:
65+5y=82
5y=82-65
5y=17
y=17/5=3.4
3x+23=54
3x=54-23
3x=31
x=31/3=10.3
5z+43=110
5z=110-43
5z=67
z=67/5=13.4
3x+5y+5z3.
3(3.4)+5(10.3)+5(13.4)
10.2+51.5+67
128.7
Fill in the missing parts 5/7 of ... is 1/7?
Answers
Answer:
5/7 x = 1/7
x = (1/7) / (5/7)
x = (1/7) * (7/5)
x = 7 / 35
x = 1 / 5 or .2
Step-by-step explanation:
Elena walked 12 miles. Then she walked 0.25 that distance. How far did she walk altogether? Select all that apply.
Answers
12 x 0.25 =3
12+3=15
This is 8th grade math 5y+2×5h=4h Solve for h
Answers
Answer:
h= −5/6y (negative 5 y over 6)
Step-by-step explanation:
5y+(2)(5)h=4h
Step 1: Add -4h to both sides.
10h+5y+−4h=4h+−4h
6h+5y=0
Step 2: Add -5y to both sides.
6h+5y+−5y=0+−5y
6h=−5y
Step 3: Divide both sides by 6.
6h/6=−5y/6
h=−5/6y
Answer:
h = - 5y/ 6
Step-by-step explanation:
5y + 2 * 5h = 4h
Using BODMAS
Perform multiplication first
5y + 10h = 4h
Collect like terms
5y = 4h - 10h
5y = - 6h
Divide both sides by - 6
5y / - 6 = - 6h / - 6
h = - 5y/ 6
I need help, can someone tell me the answer to 13x + 3 - 7x - 1? Please and thank you.
Answers
Answer:
6x+2 is the answer
Step-by-step explanation:
.......
Jade types 40 words in 7 minutes. Andrew types 35 words in 6 minutes. Who is the faster typist?
Answers
Andrew types faster than Jade
40/7 = 5.7 words per minute (Jade)
35/6 = 5.8 words per minute (Andrew)
May I have brainliest please? :)
The help is needed for these times
Answers
Answer:
This be soooo hard ;w;
Step-by-step explanation:
.w.
How to write an equation in slope-intercept form with a graph
For example:
Answers
Answer:
y = - x - 1 is the answer to the graph
Combine like-terms of 6x-2x-2=-3x+4(x+7)
Answers
3x-2 = 7x + 28
Which of the following is not the same as positive 7?
1. 0 +7
2. 07
3. 7 units to the left of O on a number line
4. the opposite of -7
Answers
Answer:
the answer is 3 because is you go left it turns it negative
Please help due in 10 minutes
Answers
Answer:
The 2nd one should be the correct answer
answer: the 2nd option. (aka: 2(3x+5)
if : 3x+3x+5+5= 6x+10
THEN: 2(3x+5)
HOW: 2 times 3x.
2 times 5
6x+10.
hope i helped! we just passed this subject in my class. Good luck!!
I will give brainliest!!!! What is the area of a circle with a circumference of 16?
Answers
Answer:
20.37183...
hope this helps!
Answer:
Step-by-step explanation:
the area is 20.37 if u need the steps just add a comment and ill show the steps
What is an equation of the line that passes through the point (-5, -1) and is
parallel to the line 4x + 5y = 45?
Answers
Answer:
y = -4/5 x - 5
Step-by-step explanation:
−40+10a= \,\,-70 −70
Answers
Answer:u did it wrong
Step-by-step explanation: