Answer:
If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is is dA/dt = 15 - 0.005A
Option C) dA/dt = 15 - 0.005A is the correction Answer
Step-by-step explanation:
Given the data in the question;
If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is?
dA/dt = rate in - rate out
first we determine the rate in and rate out;
rate in = 3pound/gallon × 5gallons/min = 15 pound/min
rate out = A pounds/1000gallons × 5gallons/min = 5Ag/1000pounds/min
= 0.005A pounds/min
so we substitute
dA/dt = rate in - rate out
dA/dt = 15 - 0.005A
Therefore, If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is is dA/dt = 15 - 0.005A
Option C) dA/dt = 15 - 0.005A is the correction Answer
16 is 4670 of what number ?
Helppp
Answer:
16
Step-by-step explanation:
Hope this helps sorry if I'm wrong
Answer:
291.875
Step-by-step explanation:
16 x 291.875= 4670
Help please this is due soon
Answer:
3 hours
Step-by-step explanation:
The rate of lawn treatment is 75 lawns per 25 hours, which can be simplified as 3 lawns per hour.
If he treats 3 lawns every hour, it will take him 3 hours to treat 9 lawns.
PLEASE PLEASE HELP ASAP PLEASE PHOTO ATTACHED ABOVE PLEASE HELP
Answer:
is y= 8-2x/3
Step-by-step explanation:
the 2x/3 is a fraction
(IF CORRECT I WILL MARK YOU BRAINLYIEST The stem and leaf plot below shows the prices of cars and vans at a dealership, in thousands of dollars. What is the difference between the range of the van prices and the range of the car prices?
A.) $6,000
B.) $7,000
C.) $4,000
D.) $5,000
Answer:
The answer is C.) $4,000
help me please. solve for f (-2)
Answer:
9
Step-by-step explanation:
please help PLEASE HELP!!!!!!!!!!!!!!! I AM SUPER DESPARATE I NEED MUCH MUCH MUCH HELP
Answer:
8.v = r 2 πh 3
Step-by-step explanation:
Plz help me I am timed!
Answer:
the base is 7 and the height is seven so the first answer
What is 1 % of 19,290,00 from a loan
what is 6,383 in expended form?
Answer:
expanded notation form:
6,383 =
6,000
+ 300
+ 80
+ 3
expanded factors form:
6,383 =
6 × 1,000
+ 3 × 100
+ 8 × 10
+ 3 × 1
expanded exponential form:
6,383 =
6 × 103
+ 3 × 102
+ 8 × 101
+ 3 × 100
Step-by-step explanation:
i wasn't entirely sure what you needed but i hope this helps :) have a great day !!
Solve the following mathematics
49x^2 -100y2
Answer:
(7x-10y)(7x-10y)
Step-by-step explanation:
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I need help I will give you brainliest
9514 1404 393
Answer:
f⁻¹(x) = log(x)/log(16)
g⁻¹(x) = (2^x -1)/3
Step-by-step explanation:
In each case, you want to solve ...
x = f(y)
__
a. x = 4^(2y)
log(x) = 2y·log(4) . . . . . . . . take logs
y = log(x)/(2·log(4)) . . . . . . .divide by the coefficient of y
f⁻¹(x) = log(x)/log(16) . . . . simplify (4^2 = 16)
__
b. x = g(y)
x = log(3y +1)/log(2) . . . . use the change of base relation
x·log(2) = log(3y +1) . . . . multiply by log(2)
2^x = 3y +1 . . . . . . . . . . . take antilogs
2^x -1 = 3y . . . . . . . . . . . subtract 1
y = (2^x -1)/3 . . . . . . . . . . divide by the coefficient of y
g⁻¹(x) = (2^x -1)/3 . . . . . . . . note that "-1" is not part of the exponent of 2
4x10 exponent of 4 equals
Answer:
1,048,576
Step-by-step explanation:
4x4x4x4x4x4x4x4x4x4
10x10x10x10
10,000
Math nation. I need help, please.
Answer:
Step-by-step explanation:
Draw a picture! You get a right triangle with vertical leg = 17,000 ft, and you want to find the hypotenuse.
sin(21°) = 17,000/hypotenuse
hypotenuse = 17,000/sin(21°) = 47,437.3 ft
Will give brainliest
A ?
B?
C ?
Answer:
A: 180° B: 360° C: 540°
Step-by-step explanation:
A: The measures of interior angles of a triangle sum to 180°. Since figure ABC is a triangle, the interior angles of figure ABC sum to 180°.
B: We can see the quadrilateral ACDE is a trapezoid. If you can see, the trapezoid can be split into two triangles if you connect points C and E. As U mentioned before, the measures of interior angles of a triangle sum to 180°. Since we know figure ACDE can be split into two triangles we have to do: 180x2 which is 360°.
C: Now that we know the Pentagon ABCDE can be split into 3 triangles(1 from figure ABC and 2 from figure ACDE), we have to multiply 180 by 3 because like I mentioned before, the measures of interior angles of a triangle sum to 180°. So, 180x3=540°.
Answer:
A) 180
B) 360
C) 540
Step-by-step explanation:
A) All interior angles added together in a triangle are 180°.
B) All quadrilaterals' are 360°.
Think of it as drawing a diagonal to split the quadrilateral equally. You have two triangles, so:
180 + 180 = 360°
C) To find the sum of the interior angles of any polygon, use:
180 (n - 2)
Where n = number of sides. In a pentagon, there are 5:
180 (5 - 2)
180 (3)
540°
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question 1: What is the coefficient of the third term of the trinomial? (In other words, what is C?)
(2x + 3)(4x − 1) = 8x^2 +10x − C
Question 2: What is the coefficient of the second term of the polynomial? (In other words, what is B?)
(x + 2)(2x^2 + x − 1) = 2x^3 + Bx^2 + x − 2
Question 3: What is the coefficient of the third term of the polynomial? (In other words, what is C?)
(x + 2)(x^2 −3x − 2) = x^3 −x^2 −Cx − 4
Answer:
1) C = 3
2) B = 5
3) C = 8
Step-by-step explanation:
Question 1)
We have:
[tex](2x+3)(4x-1)[/tex]
Distribute:
[tex]=(2x+3)(4x)+(2x+3)(-1)[/tex]
Distribute:
[tex]=8x^2+12x-2x-3[/tex]
Combine like terms:
[tex]=8x^2+10x-(3)[/tex]
Therefore, C = 3.
Question 2)
We have:
[tex](x+2) (2x^2+x-1)[/tex]
Distribute:
[tex]\displaystyle =(x+2)(2x^2)+(x+2)(x)+(x+2)( - 1)[/tex]
Distribute:
[tex]=(2x^3+4x^2)+(x^2+2x)+(-x -2)[/tex]
Combine like terms:
[tex]=2x^3+(5)x^2+x-2[/tex]
Therefore, B = 5.
Question 3)
We have:
[tex](x+2)(x^2-3x-2)[/tex]
Distribute:
[tex]=(x+2)(x^2)+(x+2)(-3x)+(x+2)(-2)[/tex]
Distribute:
[tex]=(x^3+2x^2)+(-3x^2-6x)+(-2x-4)[/tex]
Combine like terms:
[tex]=x^3-x^2-(8)x-4[/tex]
So, C = 8.
What is the diameter of a sphere with a volume of 78006 in?
Answer: 53.0
Step-by-step explanation:
Then the diameter equals 53.0122774
The diameter of the sphere is 53.01 inch
What is a Sphere?
A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.
The Surface Area of a Sphere = 4πr²
The Volume of a Sphere = ( 4/3 ) πr³
where r is the radius of the sphere
Given data ,
Let the diameter of the sphere be = d
The radius of the sphere be = r
The volume of the sphere is V = 78006 inch³
The Volume of a Sphere = ( 4/3 ) πr³
Substituting the values in the equation ,we get
( 4/3 ) πr³ = 78006 inch³
Now , Multiply by ( 3 / 4 ) on both sides , we get
πr³ = ( 78006 x 3 ) / 4
= 58504.5 inch³
Divide by π on both sides , we get
r³ = 58504.5 / π
= 18622.56 inch³
Taking cube roots on both sides , we get
r = 26.506 inch
So , the radius of the sphere is r = 26.506 inch
Now , the diameter of the sphere is d = 2 x r
= 2 x 26.506
= 53.01 inch
Hence , The diameter of the sphere is 53.01 inch
To learn more about sphere click :
https://brainly.com/question/27933834
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1/1000 as a power of ten
Answer:
-3 power
Step-by-step explanation:
the amount of 0 is the power
The population of a community is known to increase at a rate proportional to the number of people present at time t. If an initial population P0 has doubled in 3 years, how long will it take to triple? (Round your answer to one decimal place.)
Answer:
4.75 years are required to triple the population
Step-by-step explanation:
As we know
[tex]\frac{dP}{dt} = P\\[/tex]
Integrating both the side with respect to t we get
[tex]ln P = kt + c_1\\P = e^{kt + c_1}\\P = Ce^{kt}[/tex]
At t = 0, P = P0
[tex]2 P_0 = P_0 * e ^{3k}\\2 = e ^{3k}\\ln 2 = 3k\\k = 0.231\\[/tex]
substituting K value in main equation, we get -
[tex]P = P_0 * e^{0.231 * t}\\3P_0 = P_0 * e^{0.231 * t}\\3 = e^{0.231 * t}\\ln 3 = 0.231 * t\\t = 4.75[/tex]
4.75 years are required to triple the population
What’s the value of x in each triangle?
Answer:
The value of x is 70°.
Step-by-step explanation:
Let's name the angle to the right of 125° as 'y'.
y = 180 - 125 (linear pair)
y = 55°
Now, we know that all the angles in a triangle sum up to 180°. (Angle Sum Property)
x = 180 - (55+55)
x = 180 - 110
x = 70°
Hector is buying books at a bookstore.
*He buys 2 used books and 1 new book for $26.
*The new book costs $18.
If each used book cost the same amount, what is the price of each used book?
Answer:
if they both cost $26 then $52 if they both coast $18 then $36
Step-by-step explanation:
Answer:
(total price - price of 1 new book)÷number of used books
($26-$18)/2=4
Step-by-step explanation: sssniperwolf
Last year, David opened an investment account with $6500. At the end of the year, the amount in the account had increased by 23.8%. How much is this increase in dollars? How much money was in his account at the end of last year?
Answer:
The increase is $1547, he has $8047 in his account now.
Step-by-step explanation:
6500 increase 23.8% =
6500 × (1 + 23.8%) = 6500 × (1 + 0.238) = 8047
8047 - 6500 = 1547
I will give out branlyest
Answer:
The only one that makes sense is A.
Hope this helps.
Step-by-step explanation:
V=LWH
Answer:
A
Step-by-step explanation:
I just took the quiz
The longer l watch the television, the higher the electric consumption I have. Which
variable is independent?
A Time spent watching TV
B Electric consumption
C. Brand of TV
D. Family members
Answer:
it will be A
Step-by-step explanation:
I am sure search ok thank u
53 – 102 + 20 (8-3)
How you do it
Answer:
Answer = 51
Step-by-step explanation:
PEMAS = (parenthesis, exponents, multiplication, division, addition, subtraction) follow steps in order
Answer:
51
Step-by-step explanation:
53-102+20(8-3)
53-102+20 x 5
53-102+100
=51
A number is greater than 8. The same number is less than 10. The inequalities x > 8 and x <10 represent the situation.
Which best explains the number of possible solutions to the inequality?
There is one solution because 9 is the only number between 8 and 10.
There are a three solutions because 8, 9, and 10 are possible solutions.
There are a few solutions because there are some fractions and decimals between 8 and 10.
There are infinite solutions because there is always another number between any two numbers.
Answer:
There are infinite solutions because there is always another number between any two numbers.
Step-by-step explanation:
Help me on this one, the highlighted one is wrong
Answer:
price and quantity demanded
Step-by-step explanation:
2.25 kilometers in number form
Answer:
9/4 225%
Step-by-step explanation:
either one you need :)
Answer:
1.398 miles
Step-by-step explanation:
Formula: multiply the value in kilometers by the conversion factor '0.62137119223556'.
you have approximately 1/4 of tank of gas.your tank holds 20 gallons.how much gas do you have left? if you plan to fill the tank,how many gallons will you purchase? if gas cost $21/2 per gallon,how much will it cost you to fill up
Step-by-step explanation:
if you have a quarter tank then what is empty is 15 gallons because 20*3/4=15
you now need to fill up the 15 gallons, if each gallon is 21/2 dollars then 15*21/2 should give us a price. 21/2=10.5
15 gallons*10.5 dollars=$157.5 for the final price
Jordan mixed together 9 gal. of Brand A fruit drink and 8 gal. of Brand B fruit drink which contains 48% fruit juice. Find the juice in Brand A If the mixture contained 30% fruit juice.
Answer:
Step-by-step explanation:
You do this by figuring out the amounts of pure fruit juice in all.
Explanation:
Mixture:
17 gal 30% contains:
17
⋅
30
100
=
5.10
gal pure juice
From Brand B:
8 gal 48% contains:
8
⋅
48
100
=
3.84
gal pure juice
So
5.10
−
3.84
=
1.26
gal came from 9 gal of brand A
So the percentage of A is:
1.26
9
⋅
100
=
14
%
pure juice.
Mark brainliest if this answer is correct please
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