The value of y' is found to be approximately 0.748 ft.
How to solveThe specific energy, E, in open channel flow, can be calculated using the equation E = [tex]y + Q^2/(2gy^2)[/tex] where y is the depth of flow, Q is the flow rate, and g is the acceleration due to gravity.
In this case, Q = y * width * velocity = [tex]2 ft * 5 ft * 7.5 ft/s = 75 ft^3/s.[/tex]
Substituting these values in, the specific energy, E, is found to be E = 2 ft + (75 ft³/s)² / (2 * 32.2 ft/s² * (2 ft)²) = 3.466 ft.
The alternate depth, y', can be found by solving the equation 3.466 ft
= [tex]y' + (75 ft^3/s)^2 / (2 * 32.2 ft/s^2 * (y')^2) for y'.[/tex]
This is a quadratic equation and using the positive root for supercritical flow, y' is found to be approximately 0.748 ft.
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solve for x in : 5^{2x-1} =12^{x}
Answer:
x=2.192785
Step-by-step explanation:
52x−1=12x
log(52x−1)=log(12x)
(2x−1)*(log(5))=x*(log(12))
2x−1=(
log(12)
log(5)
)*(x)
2x−1=1.543959*x
2x−1=1.543959x
2x−1−1.543959x=1.543959x−1.543959x 1.543959x
0.456041x−1=0
0.456041x−1+1=0+1
0.456041x=1
0.456041x
0.456041
=
1
0.456041
0.456041)
x=2.192785
Answer:
x = 2.19
Step-by-step explanation:
Given that,
An equation, [tex]5^{2x-1} =12^{x}[/tex]
To find,
The value of x.
Solution,
We have,
[tex]5^{2x-1} =12^{x}[/tex]
Taking log both sides,
[tex]\text{log}(5^{2x-1})=\text{log}(12^x)[/tex]
We know that,
[tex]\text{log}\ a^n=n\ \text{log}a[/tex]
So,
[tex](2x-1)\text{log}5=x\ \text{log}12[/tex]
So,
[tex](2x-1)0.6989=1.0791x\\\\1.3978x-0.6989=1.0791x\\\\1.3978x-1.0791x=0.6989\\\\0.3187x=0.6989\\\\x=\dfrac{0.6989}{0.3187}\\\\x=2.19[/tex]
So, the value of x is equal to [tex]2.19[/tex].
Reference,
https://brainly.com/question/14968632
the questipn is: Given segment AB with endpoint (-2,-2) and (8,4), what is the coordinate of the midpoint?
Answer:
(3,1)
Step-by-step explanation:
If you plot both of the points on a graph you get another straight line.
When you connect the dots you get 3,1 as the midpoint of the two segments :))
Help me with 7 and 8 pleaseeeee
Answer:
7 is 8,and 8 is 23p+9
Answer:
7= 8
8=
Step-by-step explanation:
3/1 + 1/3
What is the answer to this?
Answer:
10/3, or 3 1/3.
Step-by-step explanation:
3/1 + 1/3
3 + 1/3
9+1/3
10/3, or 3 1/3.
Nathan launches a water balloon vertically from a platform on his roof. The height of the balloon (in feet) is represented by the equation h=−16t2+28.7t+32.4, where t is the time (in seconds) after he launches the water balloon. What is the maximum height of the balloon?
Answer:
45.27feet
Step-by-step explanation:
Given the height of the balloon (in feet) represented by the equation h=−16t2+28.7t+32.4, where t is the time (in seconds)
Note that the velocity of the balloon at maximum height is zero, hence;
v = dh/dt =0
-32t+28.7 = 0
-32t = -28.7
t = 28.7/32
t = 0.897secs
Get the maximum height
Recall that h=−16t²+28.7t+32.4
h = -16(0.897)²+28.7(0.897)+32.4
h= -12.87+25.74+32.4
h = 45.27feet
Hence the maximum height reached is 45.27feet
A dress with a regular price of $60 is on sale for 20% off the regular price. Lisa has a coupon for an additional 10% off the sale price. What is the price of the dress after the discount for the coupon?
Answer:
It is $42
if I am wrong then let me know so I can recheck my work
Answer:
$42
Step-by-step explanation:
20+10=30%
60*0.3=18
60-18=42
What is the solution to the inequality?
n - 15 > -5
pls help ♀️
Step-by-step explanation:
Given inequality
n - 15 > - 5
The inequality can also be written as :
n - 15 = - 5
n = - 5 + 15
n = 10
or
n > 10
Hope it will help :)
Answer:
n>10
Step-by-step explanation:
n-15>-5
n>-5+15
n>10
252.8 x 63.4 please I need help
Answer:
16027.52
Step-by-step explanation:
Find the area of a circle with a radius of 33 millimeters use 3.14 for pi also please explain steps if you can it really helps me
Answer:
3421.19
Step-by-step explanation:
A=πr2=π·332≈3421.1944
Answer:
3419.46
Step-by-step explanation:
To find the area of a circle you need to:
pi(3.14) x Radius²
= 3.14 x 33²
= 3419.46
I hope it is right since I literally started this topic.
Help me please!!!!!!!!!!!!
find x or solve for x .
On the blueprint of a house and 35 mm represents 10 m an actual length of a living room is 9 m what is the length on the blueprint
Answer:x 31.5 mm
Step-by-step explanation:I hope this helps
The actual length of the room on the blueprint 31.5mm.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the given question
35mm represents 10m
⇒ 1m = 35/10
⇒ 1m = 3.5mm
Therefore,
The actual length of the room on the blueprint = 3.5 × 9 = 31.5mm
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4х2 - 3x + 2,
How many terms are there
Answer:
3
Step-by-step explanation:
We are given an expression and are asked how many terms are there.
When it comes to terms, we need to see how many numbers have different endings, this can be variables, symbols, and exponents.
Looking into it, we see 4x^2 - 3x + 2
These are all different terms, therefore there are 3 different terms.
juanyra,hannah,and bella went out for pizza.juanyra ate 1/3 of the pizza,hannah ate 2/6 of the pizza,and bella ate 1/4 of the pizza.how much did they eat toghether.
Answer:
1 - (1/4 + 2/3)
1 - (3/12 + 8/12)
1 - 11/12
1/12 left
A specialty shop procures silver necklaces for 15$ a piece and offers them to customers for 33$ each. What is the mark-up percentage?
Answer:
54.5%
Step-by-step explanation:
Given data
Cost price= $15
Selling price= $33
Mark up percent =????
%markup= selling-cost/selling*100
substitute
%markup= 33-15/33*100
%markup= 18/33*100
%markup=0.545*100
%markup= 54.5%
Hence the Percent markup is 54.5%
Hue is arranging chairs. She can form 2 rows of a given length with 4 chairs left over, or 9 rows of that
same length if she gets 10 more chairs. Complete the equation and solve it to find how many chairs are in
that row length. In your equation, use the variable x to represent the number of chairs in each row.
The equation is
There are
chairs in each row.
Answer:
9x-10= 2x+4
x=2
Step-by-step explanation:
what’s the slope of the line? i’m marking a brainliest!
Answer:
m = -2
Step-by-step explanation:
To get the slope of the line, we are going to use the 2-points slope equation form
That will be;
m = (y2-y1)/(x2-x1)
(x1,y1) = (-5,11)
(x2,y2) = (8,-15)
m = (-15-11)/(8-(-5)) = -26/13 = -2
The possible mistake she might have made is placing the x-values difference over the y and her formula will look like;
m = (x2-x1)/(y2-y1)
It is an error of switching the numerator for the denominator
Students in a class were asked to name their favorite type of soup. The results are shown in the circle graph. How many times more students prefer tomato soup than prefer French onion soup? French onion=0.06% Tomato=33%
Answer:
5.5 times
Step-by-step explanation:
0.33/0.06=5.5
help please
− 20 + (−13) − 7 − (+11) + 14 =
Answer:
-20+(-13)-7-(+11)+14= -37
Step-by-step explanation:
we make first : +(-13)= -13 then -(+11)=-11
then we calculate all the nb we have
-20-13-7-11+14= -37
Having some struggles with this:
Answer:
the 3rd one hope this helps
Step-by-step explanation:
Select the correct answer.
A ball is thrown up from a height of 400 feet, and the height (in feet) of the ball at any time t, in seconds, is given by the function shown below.
[tex]h(t)=-16t^{2}+400[/tex]
Find the equation for the axis of symmetry of the given function.
A.
t = 0
B.
t = 5
C.
t = 6
D.
t = 4
Answer:
A
Step-by-step explanation:
Because i took the the test
Brainliest to whoever gets it right: Apply the appropriate mathematical operation to solve this occupation related problem.
Labor rate: $8.75 per hour.
Hours worked: 16
Total price of services: $224
Overhead rate: %
Answer:
37.5%
Step-by-step explanation:
Labor rate = 8.75 dollars per hour.
Hours worked = 6
Direct cost of labor = 140 dollars
Total price of services = 224 dollars
Therefore, the overheads = 84 dollars which is
84 X 100 / 224 = 37.5%
[tex]Which point is closer to the line y=1/2x+4, A(-2,6) or B (4,3)?[/tex]
9514 1404 393
Answer:
neither; they are the same distance from the line
Step-by-step explanation:
The distance of point (x, y) from line ax+by+c=0 is given by ...
d = |ax +by +c|/(√a² +b²)
Since we're using the same line for both points, we only need to evaluate ...
d = |ax +by +c|
Subtracting y can put the equation in the desired form:
1/2x -y +4 = 0
__
For point A, the expression of interest evaluates to ...
|(1/2)(-2) -(6) +4| = |-1-6+4| = 3
For point B, the expression of interest evaluates to ...
|(1/2)(4) -(3) +4| = |2-3+4| = 3
These values tell us the points are the same distance from the line.
_____
The attached graph shows that circles of the same radius centered on A and B are both tangent to the line. Hence the distances are the same.
HELP WITH THIS QUESTION!!!
Answer:
- 1/x^18 y^3
Step-by-step explanation:
if the diagonal of the square is 8 feet what is the area of the square
Answer:
32
Step-by-step explanation:
You have to use pythagorean theorem for this, where a and b represent the 2 sides while c represents the hypoteneuse.
a²+b²=c²
If the diagonal of a square is 8, it divides the square into 2 triangles, both with a hypoteneuse of 8. Since it is a square, that means the other 2 sides will have equal lengths. So input 8 into the equation:
a²+b²=8²
a²+b²=64
Then you can change a and b into the same variable, since you know they will be equal due to you working with a square.
a²+a²=64
simplify: 2a²=64
divide both sides by 2: a²= 32
square root both sides: a = [tex]\sqrt{32}[/tex]
then you know the length of each side is [tex]\sqrt{32}[/tex]
to find the area of a square, you must multiply both sides by each other, so do [tex]\sqrt{32}[/tex]*[tex]\sqrt{32}[/tex], which will give you 32 since you are essentially doing this:
[tex](\sqrt{32})^2[/tex] in which the square and square root cancel out.
can someone solve this
In UVW, u = 190 cm, v = 380 cm and w=560 cm. Find the measure of ZW to the
nearest 10th of a degree
Answer:
157.2
Step-by-step explanation:
Delta math
Answer: 157.2 degrees
Step-by-step explanation: Use law of cosines
I need help asap!! This is an i-ready lesson.
Answer:
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Answer: A because it keep going none stopping
Step-by-step explanation:
(4x+7) (4x-7)=
give the solution pleasee
Answer:
16x - 49
Step-by-step explanation:
Answer:
Im not sure 4x+8 and then 4×-7??? do it on your calendar frl amd you can see amd type exactly what the guesting..
Please help urgent !!
A or D. not sure 'bout it. sorry.
Answer:
b. [tex] {x}^{4} \:varies \: directly \: as \: y[/tex]
Step-by-step explanation:
[tex] \frac{ {x}^{4} }{y} = 7 \\ \\ \implies {x}^{4} = 7y \\ \\ \implies {x}^{4} \: \alpha \: y \\ {x}^{4} \:varies \: directly \: as \: y[/tex]