Answer:
C.
Step-by-step explanation:
A P E X
What is the equation of this line?
a.y = 2x
b.y=−12x
c.y=12x
d.y=−2x
Answer:
Im thinking its y=-2x but Im not 100% sorry if its wrong
2) Oil with ρ= 876 kg/m3 and μ= 0.24 kg/m · s is flowing through a 1.5 cm diameter pipe that discharges into the atmosphere at 88 kPa. The absolute pressure 15 m before the exit is measured to be 135 kPa. Determine the flow rate of oil through the pipe if the pipe is (a) horizontal, (b) inclined 8° upward from the horizontal, and (c) inclined 8° downward from the horizontal.
The pressure in a fluid flowing with laminar flow through a pipe is given by
Hagen-Poiseuille equation.
The correct responses are;
(a) If the pipe is horizontal, the flow rate is approximately 1.622 × 10⁻⁵ m³/s(b) If the pipe is inclined 8° upwards, the flow rate is approximately 1.003 × 10⁻³ m³/s(c) If the pipe is inclined 8° downwards, the flow rate is approximately 2.24 × 10⁻⁵ m³/sReasons:
When the flow is a steady incompressible flow through pipe, the flow rate
can be derived from the Hagen-Poiseuille equation as follows;
[tex]\displaystyle \dot V = \mathbf{\frac{\left[\Delta P - \rho \cdot g \cdot L \cdot sin\left(\theta \right) \right] \cdot \pi \cdot D^4 }{128 \cdot \mu \cdot L}}[/tex]
ΔP = 135 kPa - 88 kPa = 47 kPa
The density of the oil, ρ = 876 kg/m³
μ = 0.24 kg/(m·s)
L = 15 m
The diameter of the pipe, D = 1.5 cm = 0.015 m
(a) When the pipe is horizontal, we have;
θ = 0°
Which gives;
[tex]\displaystyle \dot V = \mathbf{\frac{\left[47 \times 10^3 - 876 \, kg/m^3 \times 9.81 \, m/s^2 \times 15 \, m \cdot sin\left(0^{\circ} \right) \right] \times \pi \times (0.015 \, m)^4 }{128 \times 0.24 \, kg/(m \cdot s) \times 15 \, m}}[/tex]
[tex]\displaystyle \dot V = \frac{\left[47 \times 10^3\, Pa - 128903.4\, Pa \cdot sin\left(0^{\circ} \right) \right] \times \pi \times (0.015 \, m)^4 }{128 \times 0.24 \, kg/(m \cdot s) \times 15 \, m}[/tex]
[tex]\displaystyle \dot V = \frac{\left[47 \times 10^3\, Pa - 128903.4 \, Pa \cdot sin\left(0^{\circ} \right) \right] \times \pi \times (0.015 \, m)^4 }{128 \times 0.24 \, kg/(m \cdot s) \times 15 \, m} =\frac{0.002379357\cdot \pi}{460.8}[/tex]
[tex]\displaystyle \dot V=\frac{0.002379357\cdot \pi}{460.8} = \mathbf{1.622 \times 10^{-5}}[/tex]
The flow rate when the pipe is horizontal, [tex]\displaystyle \dot V[/tex] = 1.622 × 10⁻⁵ m³/s(b) When the pipe is inclined 8°, we have;
[tex]\displaystyle \dot V = \mathbf{\frac{\left[47 \times 10^3\, Pa - 128903.4\, Pa \cdot sin\left(8^{\circ} \right) \right] \times \pi \times (0.015 \, m)^4 }{128 \times 0.24 \, kg/(m \cdot s) \times 15 \, m}} = 1.003 \times 10^{-5} \, m^3/s[/tex]
The flow rate of oil through the pipe if the pipe is inclined 8° upwards from the horizontal, [tex]\displaystyle \dot V[/tex] = 1.003 × 10⁻⁵ m³/s(c) If the pipe is inclined 8° downward from the horizontal, we have;
[tex]\displaystyle \dot V = \frac{\left[47 \times 10^3\, Pa - 128903.4\, Pa \cdot sin\left(-8^{\circ} \right) \right] \times \pi \times (0.015 \, m)^4 }{128 \times 0.24 \, kg/(m \cdot s) \times 15 \, m} = 2.24\times 10^{-5} \, m^3/s[/tex]
If the pipe is inclined 8° upwards from the horizontal, the flow rate of oil through the pipe is, [tex]\displaystyle \dot V[/tex] = 2.24 × 10⁻⁵ m³/sLearn more about flow through pipes here:
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a computer performs a calculation in 3.5 x 10^-5 seconds to solve a math problem. How long does the computer need to calculate the solutions to 5 x 10^4 math problems. Enter your answer in standard form
Step-by-step explanation:
let's do this in 2 steps :
1. go for 1×10⁴ math problems
2. multiply that result by 5 to fully cover 5×10⁴
1.
3.5×10^-5 × 1×10⁴ = 3.5×10^-1
2.
5 × 3.5×10^-1 = 16.5×10^-1 = 1.65×10⁰
so, the computer needs 1.65×10⁰ or simply 1.65 seconds.
Wärmelehre - German
20 Words
Answer:
Step-by-step explanation:
a steel batch of t = 830 c is quenched in an oil bath (mol = 450kg / tol = 20c). What is the maximum mass of steel in kg allowed in the batch. Have the oil not heated up to more than 30 c?
useful data: ol c = 1.8kj / (kg.K)
steel: c = 0.49kj / (kg.K m steel = kg
what is the value of f(-8) in f(x)=-3x-9
The value will be .......15.......
f(x) = -3x - 9
Now, substitute -8 in the place of x.
f(x) = -3x - 9
f(-8) = - 3(-8) - 9
f(-8) = 24 - 9
f(-8) = 15
______
Hope it helps ⚜
solve for Y 3y =2(4-2y)+6
Answer:
HOLA MATE HERE IS UR ANSWER:-
Step-by-step explanation:
3y=2(4-2y)+63y=8-4y+63y=14-4y3y+4y=147y=14y=14/7y=2Is (–3, –2) a solution to the equation y = x + –1?
Answer:
No.
Step-by-step explanation:
We plug in the coordinates and that gives us -2=-3+-1, that is not true, therefore your answer is no.
Brainliest would be appreciated! :-)
3a+5=20 steps on paper
Answer:
5
Step-by-step explanation:
3a+5=20 -5
3a=15 /3
a=5
find the number of outcomes when n = 6 and r = 3. n!
(n−r)!r!
Answer:
20
Step-by-step explanation:
This is the formula for a combination. Substitute the values and evaluate the expression.
[tex]\frac{n!}{r!(n-r)!}\\\\\frac{(6)!}{(3)!(6-3)!}\\\\\frac{(6)!}{(3!)(3!)}\\\\\frac{(6\cdot5\cdot4\cdot3\cdot2\cdot1)}{(3\cdot2\cdot1)(3\cdot2\cdot1)}\\\\\frac{720}{(6)(6)}\\\\\frac{720}{36}\\\\ 20[/tex]
Suppose X ~ N(6.5, 1.5), and a
3.5. Find and interpret the Z-score of the standardized normal random variable.
Answer:
Step-by-step explanation:
(GIVING BRAINLIEST AND EXTRA POINTS) A multiplication expression with a product of 108,064 is shown below. What is the missing digit?
2
3
4
5
Answer: The missing digit is 2.
Step-by-step explanation:
4,912*22= 108,064
In a chess club there are 10 males and 15 females. What percentage of the club is females?
Answer:
60%
Step-by-step explanation:
15 out of 25 is 60%
25 is the total people in the club
Hope this helps
Which of the following statements are true? Select all that apply.
A. ∠3 ≅ ∠2 because they are alternate interior angles.
B. m∠1 + m∠3 = 180° because they form a straight angle.
C. ∠3 ≅ ∠6 because they are alternate interior angles.
D. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.
The true statement are
2. <1 + <3 = 180 because form a straight angle.
3. ∠3 ≅ ∠6 because they are alternate interior angles.
4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.
What are parallel lines?
Two lines in a plane are said to be parallel if they do not intersect when extended infinitely in both directions.
Two lines cut by a transversal line are parallel if the corresponding angles so formed are equal. In general, the corresponding angles are in relative positions and lie along the same side of the transversal.Two lines cut by a transversal line are parallel if the alternate interior angles so formed are equal. In general, the pairs of the alternate interior are found in the inner side but lie on the opposite sides of the transversal.Two lines cut by a transversal line are parallel if the alternate exterior angles so formed are equal. In general, the pairs of alternate exterior angles are found on the outer side but lie opposite each other.As, from the figure
1. <3 = <2 because of vertically opposite angle.
Hence, it is false
2. <1 + <3 = 180 because form a straight angle.
Hence, it is true.
3. ∠3 ≅ ∠6 because they are alternate interior angles.
Hence, it is true.
4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.
Hence, it is true.
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Connor gets one hour of lunch and recess every day at school. He eats lunch first, and then gets to go outside for recess. He begins lunch at 11:15am. Based on this information, select All of the statements that are correct. a. If it takes Connor 25 minutes to eat lunch, he can go outside for recess at 11:40am. b. If it takes Connor 35 minutes to eat lunch, he will have 20 minutes left for recess. c. If it takes Connor 20 minutes for lunch, he can go outside for recess before 11:45am. d. If it takes Connor 25 minutes for lunch, he will still have at least 40 minutes left for recess. Vle. If it takes Connor 45 minutes for lunch, he can go out to recess at 12:00pm.
Answer: B ( sorry if im wrong )
Step-by-step explanation:
if Conner begins lunch at 11:15am then we need to find out what it'll be in +60 minutes, which is . . . 12:15pm
so it's not A, C, E - which now leaves us B and D
( I used a time calculator btw )
the answer is D because B is 25 minutes for recess
10 minus one third of a number is 4
Answer:
x = 18
Step-by-step explanation:
10 - x/3 = 4
=> - x/3 = -6
=> -x = -18
=> x = 18
Hoped this helped.
Answer: 18
Step-by-step explanation:
10 -1/3y = 4
1/3y = 10 - 4
1/3y = 6
y = 6 x 3 = 18
.03 + six tenths equals
Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles by SSS or SAS, write "not enough information". Explain your answer.
Write a congruence statement and give a reason why the triangles are congruent. Select the correct choice below and, if necessary, write the vertices of the second triangle in the correct order.
Answer:
option B is correct answer. ∆SVZ~=∆YVX, SSS
Step-by-step explanation:
reasons,
VY=VS, S
YX=SZ, S
VX=VZ, S
therefore, ∆SVZ~=∆YVX.
hope this helps you.
The two triangles are congruent by side angle side property. The correct option is A.
What is congruency?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.
Given that there are three triangles and these three triangles are connected to each other at the centres' A, B, and C.
The diameter of the three circles is HF, DF, and DH. The three diameters are similar in shape and are also equal to each other.
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Please help!
Describe a trend line in a scatterplot and how it should look in comparison to the data points.
Answer:
A trend line is a straight line that best represents the points on a scatterplot. The trend line may go through some points but need not go through them all. The trend line is used to show the pattern of the data. This trend line may show a positive trend or a negative trend.
Step-by-step explanation:
answer above
Sample Answer: A trend line describes the relationship between the two variables in a scatterplot. A trend line is sloped according to the general direction of the cluster of data points. It is drawn through the center of the cluster so the distance from the line to the points is minimized.
this is the correct answer on edge!!
Solve x + 5x – 14 = 0
Hey there!
Solve the equation:
Answer :x = 7/3 ✅
Explanations:x + 5x - 14 = 0
>> Add 14 to both sides :
x + 5x - 14 + 14 = 0 + 14
x + 5x = 14
6x = 14
>> Divide each side by 6 :
6x / 6 = 14 / 6
x = 14/6
Simplify the result :
14 / 6 = 2*7 / 2*3 = 7/3
Therefore, your answer is 7/3 .
More about equations:
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Have a good day :)
A line with a slope of 1 passes through the point (5, -3). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y=1x-8
Step-by-step explanation:
Lets do the same thing we did last time
-3=1(5)+?
-3=5+?
The y intercept is -8
CHECK:
-3=1(5)+-8
-3=5+-8
-3=-3
Answer:
y=x-8
Step-by-step explanation:
y-y1=m(x-x1)
y-(-3)=1(x-5)
y+3=x-5
y=x-5-3
y=x-8
Help me solve this please, im really bad at stuff like this
Answer:
given
Step-by-step explanation:
Answer:
statement - reason
BC||AD, <BAD is congruent to <DCB - given
<CBD is congruent to <ADB - alternate interior angles
BD is congruent to BD - reflexive (?)
triangle ADB is congruent to triangle CBD - AAS
AB is congruent to CD - CPCTC (corresponding parts of congruent triangles are congruent)
Question Progress
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I count on in equal steps,
My fourth number is 39, my fifth number is 43.
2
39
43
What is my first number?
Anyone know?
common difference=d=43-39=4
We need first term a
[tex]\\ \sf{:}\dashrightarrow a_5=43[/tex]
[tex]\\ \sf{:}\dashrightarrow a+4d=43[/tex]
[tex]\\ \sf{:}\dashrightarrow a+4(4)=43[/tex]
[tex]\\ \sf{:}\dashrightarrow a+16=43[/tex]
[tex]\\ \sf{:}\dashrightarrow a=27[/tex]
In a class of 36 students, 27 download rap music onto their mobile phones.
What percentage of the students listen to rap music?
Approximately 75% of the students in the class listen to rap music.
Percentage is a way of expressing a proportion or a fraction of a whole quantity in terms of 100. It is denoted by the symbol "%". The term "percent" comes from the Latin word "per centum," which means "per hundred."
To calculate the percentage of students who listen to rap music, you can use the following formula:
Percentage = (Number of students who listen to rap music / Total number of students) * 100
In this case:
Number of students who listen to rap music = 27
Total number of students = 36
Percentage = (27 / 36) * 100 ≈ 75%
So, approximately 75% of the students in the class listen to rap music.
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find all complex solutions of 3x^2-6x+1=0
Answer:
[tex]x=\frac{3+\sqrt{6} }{3}, \frac{3-\sqrt{6} }{3}[/tex]
Step-by-step explanation:
Let's see
[tex]\\ \rm\rightarrowtail 3x^2-6x+1=0[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm \sqrt{36-12}}{6}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm \sqrt{24}}{6}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm 2\sqrt{3}}{6}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{3+\sqrt{3}}{6}[/tex]
Find x, y
Please try to explain how you did it
HELP ME. NO LINKS!! PLEASE
Answer:
it's ether d or a
Step-by-step explanation:
i hope this helps you!
Graph the line with a slope of −1 that contains the point (3,6)?
Answer:
y=-x+9
Step-by-step explanation:
The answer above is written in slope-intercept form because it is the easiest form to graph (in my opinion); slope-intercept form is y=mx+b, where m is slope and b is the y-intercept. However, to get the answer, you must first use slope-point. Slope-point is [tex]y-y_{1}=m(x-x_{1})[/tex]. So, plug in the point and slope into the formula. This gives the equation, y-6=-1(x-3). Then, solve the equation for the answer of y=-x+9.
On a graph, the y-intercept will be 9. So, the line will cross the y-axis at a value of 9. Additionally, the slope is -1. So, y will increase by one and x will decrease by one. This means that the line will look like it decrease left to right.
A group of 8 people are sharing gummy bears each person wants 5 gummy bears each bag has 9 gummy bears
At least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.
The given parameters;
total number of people sharing the gummy bears, n = 8 peoplenumber of gummy bears in each bag, = 9 gummy bearsnumber of gummy bears needed by each person = 5 gummy bearsThe number of gummy bear bags needed to share 5 gummy bears to each person is calculated as follows;
let the number of gummy bears bag = x
[tex]\frac{9x}{8} = 5\\\\9x = 40\\\\x = \frac{40}{9} \\\\x = 4.4[/tex]
Thus, at least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.
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Anna categorized her spending for this month into four categories: Rent, Food, Fun, and Other.
If Anna spent a total of $2900 this month, how much did she spend on Rent?
Answer:
.26 * 2900= 754 dollars
Step-by-step explanation:
I'm not sure if it's right.
is ( -5, 6) ( -2, 0) ( 0, 6) ( 0, 2) ( 1, -3) a function
Answer:
No
Step-by-step explanation:
No, ( -5, 6) ( -2, 0) ( 0, 6) ( 0, 2) ( 1, -3) do not make up a function. It does not pass the vertical line test when graphed, as there are 2 points, (-5, 6), and (0, 6), that lines up on the same y-value.