Answer:
The liters that the tank will contain at 5:11 PM that day are:
4416 Liters.Step-by-step explanation:
Firstly, you must identify the outlet flow of the water pumped from the tank, for this, you must subtract the last volume given from the first volume:
19,140 L - 8,097 L = 11,043 LAnd the minutes that passed from the first volume until the last volume given (18 minutes from 4:47 PM to 5:05 PM), so, you must divide that two values to obtain the outlet flow:
Outlet flow = [tex]\frac{Volume}{Time}[/tex] Outlet flow = [tex]\frac{11,043 L}{18 min}[/tex] Outlet flow = 613.5 [tex]\frac{L}{min}[/tex]Now, you must see the next hour given (5:11 PM), if you see, from 5:05 PM to 5:11 PM has passed 6 minutes, taking into account this, you replace the equation of outlet flow to clear the volume:
Outlet flow = [tex]\frac{Volume}{Time}[/tex] Volume = Outlet flow * timeAnd replace the values to obtain the new volume pumped:
Volume = 613.5 [tex]\frac{L}{min}[/tex] * 6 minVolume = 3681 L.At last, you must subtract these liters from the last volume identified in the tank:
New Volume in the tank = 8097 L - 3681 LNew Volume in the tank = 4416 LThe volume in the tank at 5:11 PM is 4416 Liters.
The tank will contain 4416 L of water at 5:11 PM .
Rate of discharge of water:Given that, the tank contains 19140 L at 4:47 PM and 8097 L at 5:05 PM
It means that, in 18 minutes the amount of water discharge is,
[tex]=19140-8097=11043L[/tex]
The rate of flow is,
[tex]=\frac{11043}{18}=613.5L/min[/tex]
From 5:05 PM to 5:11 PM , six minutes are passes.
Water discharge in that six minute is ,
[tex]=613.5*6=3681L[/tex]
The tank will contain at 5:11 PM is,
=[tex]8097-3681=4416L[/tex]
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7x10^15 grains of sand in world
Answer:
7.0e15
Step-by-step explanation:
Factor Completely 3x2-7x+2 and please show work !!
Answer:
8-7x
Step-by-step explanation:
3x2-7x+2
6-7x+2
8-7x
Ada had $42 to spend on a binder and 11 spiral notebooks. The binder cost $9 what was the price of each spiral notebook?
the table represents a function. which could be a missing value for x?
Answer:
8
Step-by-step explanation:
f(x) = x (x^2)
Use the properties of exponents to simplify the expression
Answer:
y^6/x^2
Step-by-step explanation:
What is the domain of the function graph
Answer:
B. -5 ≤ x ≤ 5
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
We see that our x-values span from -5 to 5. Since both are closed dots, they are included in the domain:
[-5, 5] or -5 ≤ x ≤ 5
Answer:
A, if continuous; c, if not
continuous is if it has arrow
Step-by-step explanation:
x is the line across
Can a person live a million days?
Answer:no
Step-by-step explanation:that’s just NOT POSIBBLE
Answer:
Um no.
Step-by-step explanation:
They’d be over 2,000 years old
The length of a rectangle is 2 less than two times the width. Perimeter is 42. Find the length and the width.
Answer:
Hi there
Your answer is
width= 5.75
length= 9.5
Step-by-step explanation:
L=2w-2
P=42
Perimeter formula
L+L+W+W=P
(2w-2)+(2w-2)+w+w=42
8w-4=42
+4
8w=46
/8
w= 5.75
Plug in width in length formula!
L=2w-2
L=2(5.75)-2
L=9.5
Nine friends vote on their favorite fruit. Only one person in the group votes for kiwi.
Choose the decimal that is equivalent to this fraction.
A. 0.1
B. 0.11
C. 0.111111…
D. 0.212121…
Answer:
i think it would be A
Step-by-step explanation:
The Gordon family plans to buy a TV. One TV has a purchase price of $330 and an estimated yearly operating cost of $14. The other has a purchase price of $369 and an estimated yearly operating cost of $9. Which TV should the Gordons buy if they plan to keep it for 8 years? Use rational functions to help justify your answer
Answer:
Step-by-step explanation:
They should purchase the $369 one with the $9 plan.
330 + (14x8) =442
369+ (9x8) = 441
Hope this helps!
Answer:
rational functions that model the average annual cost of each television if it is owned for x years, such as f(x)= (330+14x)/x and
g(x)= (369+9x)/x
calculation proving that over 8 years, the annual cost for the $330 television is $55.25; for the $369 television, it is $55.13
statement that the Gordons should buy the $369 television because it is less expensive overall
Step-by-step explanation:
edge 2022
Find the coordinates of the midpoint of segment LP with endpoints: L(4, 2) and P(0, 2)
Step-by-step explanation:
here,
midpoint of line segment LP
=( X1 +X2÷2 , Y1 + Y2÷ 2)
=(4+0÷2 , 2+2 ÷2)
=(4÷2 ,4÷2)
=(2,2)
Therefore the midpoint of segment LP with L (4,2) and P (0,2) = (2 ,2).
Help I need it I plz
Answer:
A. 1.25
Step-by-step explanation:
3x + 5 = 20 - 2x
I need sum help
Answer:
18x
Step-by-step explanation:
528+787 using standard algorithm
Answer: 1,315
528
+787
---------
1315
Answer: 1315
Step-by-step explanation:
1 1
528
+787
1315
An ordered pair is written as:
(domain, range)
(range, domain)
Answer:
the answer is (domain, range) or (x,y)
An ordered pair is written as, (domain, range). So Option A is correct
What is Domain and Range ?The domain of a function is the set of all input values (independent variable) for which the function is defined and produces a valid output (dependent variable).
The range of a function is the set of all possible output values of the function. It represents the set of all possible values of the dependent variable.
The set of all "x" values constitutes the domain, and the set of all "y" values constitutes the range, in a set of ordered pairs.
You should keep in mind that ordered pairs are represented by the following symbols: (x, y).
Find the domain when examining a collection of ordered pairs by compiling a list of all the relation's x values.
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In ΔJKL, \text{m}\angle J = (8x+6)^{\circ}m∠J=(8x+6)
∘
, \text{m}\angle K = (2x+2)^{\circ}m∠K=(2x+2)
∘
, and \text{m}\angle L = (4x+4)^{\circ}m∠L=(4x+4)
∘
. Find \text{m}\angle L.m∠L.
Answer:
The measure of angle L is 52
Step-by-step explanation:
Mathematically, in a triangle, the sum of the angles equal 180
So in this case;
J + K + L = 180
So therefore;
8x + 6 + 2x + 2 + 4x + 4 = 180
8x + 2x + 4x + 6 + 2 + 4 = 180
14x + 12 = 180
14x = 180 -12
14x = 168
x = 168/14
x = 12
So to get the measure of angel L, we simply substitute the value x in the equation for L
From the question, L = 4x + 4
So therefore L = 4(12) + 4 = 48 + 4 = 52
If a = 7 and b=2 what is (a-b)²
Answer:
25
Step-by-step explanation:
[tex](7 - 2) { }^{2} [/tex]
[tex] = 5 { }^{2} [/tex]
[tex] = 25[/tex]
The area of a rectangle is 18xcm2
If the length is twice the width find the demension of the rectangle
Answer:
Length 6 width 3
Step-by-step explanation:
3×6=18
3 is double 6
what is the area of the figure below
Someone help me with math please.
Answer:
hypotenuse² = b² + h²
x² = b² + h²
=> x² = 6² + 4²
=> x² = 36 + 16
=> x² = 52
=> x = √52
=> x = 7.21
Each of the 25 students in Mr Walker's class sold 16 raffle tickets. If each ticket costs $15 how much money did Mr Walker's students raise?
Answer: $6000
Hope this helps!-xoxo
What is the value of the expression?
8 1/2 - 2 + 4 3/4
Answer:
I think the answer is 45/4 i'm so sorry if the answer is wrong
Step-by-step explanation:
Answer:
11 1/4
Step-by-step explanation:
What is the factored form of t^6-p^3
Answer:
-(p - t^2) (p^2 + p t^2 + t^4)
Which of the following is not a function?
A{ (0,1), (1,2), (2,3), (3,4)}
B.{(0,2), (1,3), (4,3), (1,2)}
C.{(1,3), (4,2), (2,0), (3,4)}
D.{(1,2), (2,2), (3,2), (4,2)}
Answer:
B. {(0,2), (1,3), (4,3), (1,2)}
Step-by-step explanation:
A relation is not a function if the same input value maps to multiple output values. Essentially, if any x is repeated, it is not a function.
The second set, {(0,2), (1,3), (4,3), (1,2)}, has x-values of 0, 1, 4, 1, so 1 is repeated. It is not a function.
The two lines intersected by the transversal are parallel. If m/1 =(8x) and m/2= (10x - 18) what is the value of x?
A.1
B.9
C.11
D.6
Answer:
x = 9
Step-by-step explanation:
Given:
m<1 = 8x
m<2 = (10x - 18)
Required:
Value of x
Solution:
<1 and <2 are alternate exterior angles. Alternate exterior angles are congruent. Therefore:
m<1 = m<2
8x = 10x - 18 (substitution)
Solve for x
8x - 10x = -18
-2x = -18
-2x/-2 = -18/-2
x = 9
At football practice, the water jug was filled 18 litters 530 milliliters of water. At the end of practice there 795 milliliters left. How much water did the team drink?
Answer:
17 L 735 mL or 17,735 mL
Step-by-step explanation:
18,530 - 795 = 17 L 735 mL
Add 4x^2+6x+9 to 2x^2+3x-9
Answer: 6x^2 + 9x
.................................
Which one doesn’t belong
Answer:
Top left
Step-by-step explanation:
It's the only one that has parentheses. All the others don't have them.
I hope this helps!
Answer:
2^-4 the one in the bottom left corner.
Step-by-step explanation:
(-2)^4 = 16
-2^4 = 16
2^-4 = some decimal
4^1/2 = 16
What is the answer to this?
Answer:
27
Step-by-step explanation:
90-63
Answer:
27
Step-by-step explanation:
coplimentary angles mean add up to 90 so
90-63=27
Which statement describes the Richter scale?
It cannot account for fault movement during an earthquake.
It measures large earthquakes far from the seismograph.
It estimates the total energy released from an earthquake.
It increases in magnitude as amount of damage increases
Answer:
It increases the magnitude as amount of damage increases
Step-by-step explanation:
Hello, there! My name is Alice and I am here to help you today!
The answer is D)
Here are some notes that will help you with the whole lesson!
Earthquake: Sudden or violent shaking of the ground.
Epicenter: The point of the Earth's surface vertically above the focus of an Earthquake.
Focus: The focus is the place inside the Earth's crust where an earthquake originates.
Magnitude: The great size or extent of something.
Seismic wave: An elastic wave in the Earth.
Seismograph: An instrument that measures and records details of the Earthquake.
The Seismograph is used to find the Focus
Plate movement ⇒ Causes stress.
Stress ⇒ Increasing along faults.
Excess stress ⇒ Leads to rock breaking and an earthquake begins.
Earthquakes begin in the Lithosphere, usually 100km below the surface.
• Earthquakes have two centers
• The focus is the area beneath the surface where rocks beneath break under stress. It is the starting point of an Earthquake
• The Epicenter is the point on the surface directly above the focus
Earthquakes are caused by plate movement. And they begin at the focus.
• Waves carry energy as they travel
• The waves produced by an Earthquake are called Seismic waves
Seismic waves are classified into three categories
« P waves (primary) »
• Arrive first, travel fastest
• Compressed and expand the ground like an accordion
• Travel threw solids and liquids
« S waves (secondary) »
• Arrive after P waves
• Vibrate from side to side and up and down
• Shake structures violently when they reach the surface
• Travel ONLY threw solids
« Surface waves »
• Travel ONLY on the surface
• Were P and S waves move
• Move slowly
• Can produce dramatic ground movement
• May make the ground roll
The Mercalli scale rates an earthquake according to how much damage it causes. And has 12 levels of intensity.
The Mercalli scale rates earthquakes based on the amount of damage they cause.
The Richter scale measures magnitude based on the size of seismic waves.
• Magnitude is determined by measures based on the size of seismic waves.
• Seismic waves are measured by a seismograph
• This scale is good for measuring small, nearby earthquakes
The moment magnitude scale estimates the total energy released by an earthquake.
• Useful for earthquakes of all sizes and distances
• Data collected with seismographs
• Shows what kind of waves were produced and their strength
The Moment of magnitude scale takes into account the movement of rocks along fault lines.
The Sumatra earthquake of 2004 is the third strongest earthquake ever recorded.
• Measured 9.1-9.3 on the Moment magnitude scale
• Measured at the maximum intensity on the Mercalli scale
• Lasted approximately 9 minutes, the longest duration ever measured
• Triggers a massive tsunami and killed approximately 250,000 people
Geologists use Sisemic waves to locate an earthquake's Epicenter.
• Use Siesmograph to measure the difference between the arrival of P and S waves
• Compare data to seismographs from around the world
Earthquakes are caused by stress along faults due to plate movement.
«Traveling Of Energy»
• Seismic waves travel in all directions
• Three types of waves:
• P waves (primary)
• S waves (secondary)
• Surface waves
«Measuring Earthquake Energy»
• Mercalli scale
• Richter scale
• Moment magnitude scale
«Locating The Epicenter»
• Distance of epicenter measured from at least three seismographs
• Location of the epicenter is where three measurements overlap
Have a great day!