The change in volume per minute and the total change in the volume of the solution after 10 minutes will be [tex] - 3 \frac {1}{20} \: litres [/tex] and [tex]- 30 \frac {1}{2} \: litres [/tex] respectively.
Entry rate = [tex] 16 \frac{3}{4} [/tex] per minute Discharge rate = [tex] 19 \frac{4}{5} [/tex] per minuteChange in the volume of solution in the tank per minute can be calculated thus :
Change in volume = (Entry rate - Discharge rate) × time [tex] 16 \frac{3}{4} - 19 \frac{4}{5} = \frac{67}{4} - \frac{99}{5} = \frac{(335 - 396)}{20} = \frac{-61}{20} = - 3\frac{1}{20} \: litres \: per \: minute [/tex]The total change in the volume of solution in the tank after 10 minutes can be calculated thus :
Change in volume per minute × time [tex] - \frac{61}{20} \times 10 = - \frac{610}{20} = - 30 \frac {1}{2} \: litres [/tex]Therefore, the solution in the tank decreases by [tex] 30 \frac {1}{2} \: litres [/tex] after 10 minutes
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The curve with equation ya = 224 – 14x² is called a kampyle of Exodus. Find an equation of the tangent line to this curve a
the point (3, -6).
An equation of the tangent line to the curve at the point (3, -6) is
Answer:
Showing results for The curve with equation ya = 224 – 14x² is called a kampyle of Exodus. Find an equation of the tangent line to this curve a the point (3, "-6)." An equation of the tangent line to the curve at the point (3, "-6)" is
Search instead for The curve with equation ya = 224 – 14x² is called a kampyle of Exodus. Find an equation of the tangent line to this curve a the point (3, -6). An equation of the tangent line to the curve at the point (3, -6) is
Step-by-step explanation:
Step By Step explanation is up you can see.
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between −20/3 and 51/4?
Answer:
-20/3=-6.666
51/4=12.some..
odd integrators between
-6.666 & 12 = -5,-3,-1,1,3,5,7,9,11
hope it help you
what is the domain of y=x^2-17
Answer:
The Vertex Form of a Parabola is:
g(x) = a(x - h)2 + k
vertex = (h, k)
rate = a (positive is up; negative is down)
a = -1/4 (downward parabola)
vertex = (17, 61)
There is no domain restriction.
Since the parabola is upside down (downward-facing), it reaches it's maximum at its vertex. In other words, is not possible for g(x) to be greater than 61.
Step-by-step explanation: hope this helped:/
Please help help help
Find the value of x if the two triangles are similar. Explain.
Given :
The given two triangles are similar .
To find :-
The value of x .
Solution :
In larger triangle :-
90 + y + y = 180
2y = 180 - 90
2y = 90
y = 45°
As we know that ,
Corresponding Angles of similar triangles are same ,
15x = 45
x = 45/15
x = 3
Which point approximates √ 3?
Answer:
d
Step-by-step explanation:
i thinck d i am not shor
If plane is going with 90 km per hour speed then in 35 minutes how much distance will it cover?
Answer:
52.5 Km
Step-by-step explanation:
90:60*35=
1.5 * 35=
52.5 Km
Answer:
52.5 km/h
Step-by-step explanation:
convert in m/s
90km×1000m=90000m
1hr=3600sec
9000m÷3600sec÷35m/s
35m/s×60÷2100
35m/s×2100÷52500
52500m÷1000m=52.5km
Please help
Find the equation of the line.
?
Х
101
Answer:
10
Step-by-step explanation:
Which of the expressions is equivalent to the expression 4(x+5)+3?
A. 4•x•4•5+3
B. 4•x+4•5+3
C. 4•x•3+4•5+3
D. 4+x+4+5+3
E. Other
Carlos ate 1/3 of his caramel pie. Carlos is having a friend come over and wants to give her 1/4 of the pie he has remaining. What fraction of the original pie will he give his friend?
===================================================
Explanation:
Multiply the denominators to get 3*4 = 12. We'll use this value to set up the number of slices we start with.
If we started with 12 slices, then 1/3 of this is (1/3)*12 = 4 slices. So Carlos ate 4 slices. There are 12-4 = 8 slices left.
1/4 of that value is (1/4)*8 = 2 which is the number of slices given to his friend.
Divide the number of slices given to the friend (2) over the number we started with (12) to get 2/12 = 1/6
-----------------------
Another approach:
If Carlos ate 1/3 of the full pie, then there are 2/3 of it left.
1/4 of this is (1/4)*(2/3) = (1*2)/(4*3) = 2/12 = 1/6 which represents the fractional amount of the original pie given to the friend.
Jason biked 18 miles during 1.5 hours. How far would he bike in 2 hours maintaining the same speed.
Answer:
18.5
Step-by-step explanation:
1.5 plus 0.5 equals 2 hours so i added 18 plus 0.5 which equals 18.5 if correct please mark me brainlist if you want if not correct am very sorry. This is what i got.
HELP Not sure how to do this. Harry starts 10 miles away from home. For each minute his distance decreases by two miles. Write and graph an equation to represent this scenario.
Answer:
yes
Step-by-step explanation:
j divisional yapa Irapuato perforan otero POW ad teo o ñ usado rap xiii foro
The equation to represent this scenario is d(t) = -2t + 10.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
Given, Harry starts 10 miles away from home.
For each minute his distance decreases by two miles.
Assuming no. of minutes to be 't' and distance to be d(t).
∴ d(t) = -2t + 10.
The graph of this is attached.
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What is the distance between the points (1,-6) and (5,-3)?
Answer: 5 is the answer
Use the distance formula to determine the distance between two points.
Answer:
[tex]\displaystyle d = 5[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Step-by-step explanation:
Step 1: Define
Identify
Point (1, -6)
Point (5, -3)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(5 - 1)^2 + (-3 + 6)^2}[/tex][Order of Operations] Evaluate: [tex]\displaystyle d = \sqrt{25}[/tex]Simplify: [tex]\displaystyle d = 5[/tex]If f(x) = x2 + 3x + 1, what is f(x + 2)?
Answer:
- f(X+2) = x^2 +7x +11
Step-by-step explanation:
- f(X) = x^2 +3x+1
- f(X+2) =(X+2)^2 + 3(X+2) + 1
- f(X+2) = x^2 + 4x + 4 + 3x + 6 +1
- f(X+2) = x^2 +7x +11
Answer:
Step-by-step explanation:
x2+3x+1
f(x+2)= 2x+3x+1
=5x+1
Please answer the following question:
Answer:
l
Step-by-step explanation:
The following are data on number of policemen and number of crimes. Find out if there is a correlation between these two variables. NumPolice NumCrimes 15 17 17 19 25 16 27 20 17 12 12 15 12 11 22 27 Using the test of correlation, What is the correct interpretation of the correlation coefficient in this example?
a. The interpretation would be there is a moderate positive correlation between number of policemen on duty and number of crimes
b. The interpretation would be there is a strong negative correlation between number of policemen on duty and number of crimes
c. The interpretation would be that TNOETS that there is a correlation between number of policemen on duty and number of crimes.
d. The interpretation would be that there is a strong positive correlation between number of policemen on duty and number of crimes
1. If the lines are parallel, find the measures
of <5 and <6.
122°
5
6
M<5 =
m<6=
Answer:
∠ 5 = 122° , ∠ 6 = 58°
Step-by-step explanation:
∠ 5 and 122° are vertically opposite and are congruent , then
∠ 5 = 122°
∠ 5 and ∠ 6 are same- side interior angles and sum to 180°
∠ 5 + ∠ 6 = 180° , that is
122° + ∠ 6 = 180° ( subtract 122° from both sides )
∠ 6 = 58°
Which of the following represents, "The difference between a number and elght Is twenty-two"?
A. N-8=22
B. 8 - N= 22
C. 8 - 22 N
Answer:
A.
Step-by-step explanation:
The difference means subtraction. The number mean a variable which is N. Then it is 8 (is means equal sign). Then 22 is the answer. The answer is N-8=22.
Have a great day!
lan walked 5 blocks home from school.His friend Kim walked x blocks farther.Write an expression for how far Kim
walked
How many square meters are there in a floor that is 9 meters long by 12 meters wide?
Answer:108
Step-by-step explanation:
Answer:
108 square meters
Step-by-step explanation:
12*9=108
Solve 48-5i=-4x+10yi
Answer:
Step-by-step explanation:
Suppose we decide to solve for y first. y will then be in terms of x AND a real and an imaginary term:
48-5i=-4x+10yi
The goal here is to solve for y. Adding 4x to both sides yields
48 - 5i + 4x = 10yi
and then we divide both sides by 10i to isolate the variable y:
48 - 5i + 4x
----------------- = y This result is "y in terms of the constant 48, the
10i imaginary terms 5i and 10i, and the expression 4x.
We solve the original equation for x in a similar manner:
48-5i=-4x+10yi becomes 48 - 5i - 10yi = -4x, so that:
-(48 - 5i - 10yi)
x = ------------------------
4
Next time, please specify which variable (x or y) you're solving for. Thank you.
The total temperature measured by 3 thermometers was −15 degrees Fahrenheit.
What was the average temperature measured by the 3 thermometers?
Answer:
-15 ÷ 3 = -5
Step-by-step explanation:
If 3 thermometers totaled -15, then they share that value equally.
Help me please help me help please help
Answer:
B
Step-by-step explanation:
if the number of chocolate changes the number of calories changes too
give brainlest if correct thank you :)
Each big square below represents one whole. what percent is represented by the shaded area?
Answer:
52 %
Step-by-step explanation:
Total number of squares = 100
Number of shaded squares = 52
% of shaded squares
= ( 52 / 100 ) x 100
= ( 52 x 100 ) / 100
= 5200 / 100
= 52 %
Ethan is cutting a 36-inch sub into slices that are
2- inches thick. How many slices will he cut?
Answer:
He can cut 18 slices!
Step-by-step explanation:
Answer:
18
Step-by-step
ive learned this before
please help w my khan acc
Answer:
y- intercept ( 0,-4)
x- intercept (-8,0)
Step-by-step explanation:
Answer:
y-intercept is (0,-6)
x-intercept is (-8,0)
Step-by-step explanation:
An intercept is the point at which the function intersects the given axis
what does 3 - (-8) equal????
Answer:
11
Step-by-step explanation:
3-(-8) = 3+8
= 11
please help (there’s a picture)
PLEASE HELP ME AND HURRY TOO NO LIBKS PLEASE I WILL GIVE BRAINLIEST
Answer:
[tex] {(5 - ( - 2))}^{2} = {(5 + 2)}^{2} = 7 \times 7 = 49 \\ 49 \times ( - 3) = - 147[/tex]
A submarine dives 51 3/5 meters below the surface of the water in 4 minutes. how many meters does the submarine dive each minute? NO LINKS!
A: 12 9/10
B: 12 3/4
C: 206 2/5
D: 47 3/5
Answer:
so you have to subtract for minus 53 so 4 - 53 is wait you have to subtract 51 and 3 and 1/2 - 4 so I'mma just get to the answer the answer is b
A group of activists wants to raise money for a good cause, so they decide to sponsor a bicycle race. It receives $60 per cyclist entry and $15,000 in donations, but it must spend $18 per entry to cover the cost of the race.
Write and solve an inequality to determine the number of cyclists the group needs to raise at least $57,000.
The number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists
Let x represent the number of cyclists.
Since, the activists receive $60 per cyclist entry and $15,000 in donations, hence:
Revenue = 60x + 15000
Also, the cost of the race is $18 per entry, hence:
Cost = 18x
They need to raise at least $57,000, hence:
Profit ≥ 57000
Revenue - Cost ≥ 57000
(60x + 15000) - 18x ≥ 57000
42x ≥ 42000
x ≥ 1000
Therefore the number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists
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