Answer:
[tex]\displaystyle \frac{dA}{dt} = 102 \ m^2/day[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Rectangle: A = lw
l is lengthw is widthCalculus
Derivatives
Derivative Notation
Implicit Differentiation
Differentiation with respect to time
Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle l = 10 \ meters[/tex]
[tex]\displaystyle \frac{dl}{dt} = 4 \ m/day[/tex]
[tex]\displaystyle w = 23 \ meters[/tex]
[tex]\displaystyle \frac{dw}{dt} = 1 \ m/day[/tex]
Step 2: Differentiate
[Area of Rectangle] Product Rule: [tex]\displaystyle \frac{dA}{dt} = l\frac{dw}{dt} + w\frac{dl}{dt}[/tex]Step 3: Solve
[Rate] Substitute in variables [Derivative]: [tex]\displaystyle \frac{dA}{dt} = (10 \ m)(1 \ m/day) + (23 \ m)(4 \ m/day)[/tex][Rate] Multiply: [tex]\displaystyle \frac{dA}{dt} = 10 \ m^2/day + 92 \ m^2/day[/tex][Rate] Add: [tex]\displaystyle \frac{dA}{dt} = 102 \ m^2/day[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Implicit Differentiation
Book: College Calculus 10e
Extra Points and brainliest! Question below
Answer:
14 one fourths
Step-by-step explanation:
First, we convert 7/2 into a fraction with the denominator of a four. To do this, we multiply the top and bottom by 2. 7*2 is 14, and 2*2 is 4, which gives us 14/4. This means that there are 14 one fourths in 7/2. Hope this helps!
Answer:
14 fourths
Step-by-step explanation:
Hey There!
So to solve this problem we need to divide 7/2 by 1/4
[tex]\frac{7}{2}divided by\frac{1}{4} =14[/tex]
Therefore 14 fourths can go into 7/2
Which inequality is true if p=3?
A. 3p <9
B. 13 < 4p
C. 5p > 15
D.8 > 2p
Answer:
D
Step-by-step explanation:
2×3 = 6 which is less than 8
FIND THE VALUE OF X PLEASE HELP ME
Answer:
x = 18
Step-by-step explanation:
4(18) = 72
2(18) - 10 = 26
4(18) + 10 = 82
72 + 26 + 82 = 180
i need help with this problem
9514 1404 393
Answer:
(a) 4 in²
Step-by-step explanation:
The volume of a rectangular prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the height of the prism.
We can find the area of the base by solving for B.
B = V/h
B = (12 in³)/(3 in)
B = 4 in² . . . . . . . . . . matches the first choice
Find the area of each of the following
Answer:
The area of this shape is 252.
Step-by-step explanation:
Cut the right piece of the shape into a triangle of 90 degrees, which makes the shape divided into 2 triangles and 1 rectangle.
9 x 13 = 117 (rectangle part)
15 x 9 = 135, 135/2 = 67.5
15 x 9 = 135, 135/2 = 67.5
67.5 + 67.5 + 117 = 252
please help asap !!! Which of the following points is a solution to the system of equations shown in the graph above?
A.(-2, 1)
B.(0, 0)
C.(0, 3)
D.(1, -2)
Answer:
a
Step-by-step explanation:
Help me pls i don't got a lot of time
Answer:
true
Step-by-step explanation:
I swear I know
i know it
What is 21+G as an algebraic expression?
Answer:
i dont know
Step-by-step explanation:
lol
Answer:
(20 + 1) + G
Step-by-step explanation:
7x2 + 4x - x2 whats the answer?!?
Answer:
14 + 2x I think
Step-by-step explanation:
Wait for more responses if needed
Answer:
[tex] {6x}^{2} + 4x[/tex]
Step-by-step explanation:
1) Collect like terms.
[tex](7 {x}^{2} - {x}^{2} ) + 4x[/tex]
2) Simplify.
[tex] {6x}^{2} + 4x[/tex]
Therefor, the answer is 6x² + 4x.
A zoo requires that 1 adult accompany every 7 students that visit the zoo. How many adults must accompany 28 students?
Answer:
4 adaults
Step-by-step explanation:
A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years.
How much of the sample will remain after 1 year?
Answer:
Step-by-step explanation:
1.5×0.5^(⅙) ≅ 1.3 mg
Helllllllpppppp please help me
Answer:
i think maybe j that is what I think
One third of the marbles were blue. How many of the marbles were blue? Draw a picture to solve the problem
uh
one third?
idunno man
Which equation is true for the value b= 10? OA 2(b + 4) = 16 B. 2(b + 2) = 40 3(b - 2) = 24 OD 2(8 + b) = 42 o E. 31b-4) = 20
Answer:
OC
Step-by-step explanation:
3(b-2)
3(10-2)
3(8)
24
PLEASE, PLEASE HELP WITH THIS SOON!
A restaurant customer left $1.10 as a tip. The tax was 4% and the tip was 10% of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Answer:
all info is needed answer of the total bill is:275 us
Step-by-step explanation:
10x1.10=11= tax
100/z=4/11
275
Work out the difference between 77.5 and 2.27.
Answer:
75.23 is the answer for 77.5-2.27
Which is the equation of a line that has a slope of -7 and a Y intercept of 2
Answer:
y = -7x + 2
Step-by-step explanation:
what is the volume if this rectangular prism
Answer:
24.2^3cm is the correct answer .
For my friend I’ll mark you and thanks you
Using the figure below, what is the trigonometric ratio of cos C?
Answer:
8/9 (choice b)
Step-by-step explanation:
The trigonometric ratios are based on the ratios of different sides.
If you remember SOH CAH TOA =
sine (sin) opposite hypotenuse
cosine (cos) adjacent hypotenuse
tangent (tan) opposite adjacent
__________________________
This is a nuemonic for these ratios.
the opposite side is the side that is directly across from the reference angle, the hypotenuse is the longest side, and the adjacent side is the side other than these two.
So cos C = adjacent side / hypotenuse side.
Since 18 is greater than 16 and 9, 18 is the hypotenuse.
the adjacent side is the side other than the opposite side and the hypotenuse which is 16
therefore cos C = 16 / 18 = 8 / 9.
You randomly select ONE card from a 52-card deck. Find the probability of selecting a card greater than 2 and less than 7, or a diamond.
There is 13 diamonds and 4 numbers greater than 2 but less than 7. This means your probability of selecting one of these specific cards is a 17/52 chance
Find the length of the third side. If necessary, round to the nearest tenth
Answer:
x=14.28
Step-by-step explanation:
24^2+x^2=28^2, Pythagorean theorem
x^2=28^2-24^2
x^2=(28+24)(28-24)
x^2=52*4
x^2=204
x is around 14.28
Patrick is reading a book about the history of baseball. The book is 210 pages long; 140 of the pages have illustrations on them. If Patrick opens the book to a random page, what is the probability that the page will have an illustration on it?
Answer:
Probability: 140/210= 14/21This graph represents a linear function.
Enter an equation in the form y=mx+b that represents the function
described by the graph.
*Note: Uses only numbers and symbols, no spaces. If there is a fraction,
10
1
make it improper and use parentheses (ie. y =
72+ z will be typed
as y=(10/7)x+(1/2)]
Type your answer
Answer:
y=1x-3
Step-by-step explanation:
Complete the statement with the term that makes it true.
If there is no data for a value within the range, there still needs to be a
for that value in a frequency table.
O column
Orow
Otable
Answer is in the file below
tinyurl.com/wpazsebu
--Please help, ill give 30 points and brainiest if your correct!!--
Lisa and Alice are playing a game. Each player either receives or has to pay play money based on the results of their spin. The table lists how much a player receives or pays for various spins. What color has the greatest amount?
Red
Pays $5
Blue
Receive $4
Yellow
Pay $1
Green
Receive $3
Orange
Pay $2
Answer:
The amount in table as positive negative numbers: -5, 4, -1, 3, -2.
The spinner lands on red the change to Lisa's amount of money is -$5.
Step-by-step explanation:
Consider the provided table.
Part(A)
The table list how much a player receives or pays for various.
Paying some money is represented by a negative sign while receiving money is represented by a positive sign.
For red they needs to pay $5 which can be written as -5.
For blue they received $4 which can be written as 4.
For yellow they needs to pay $1 which can be written as -1.
For green they received $3 which can be written as 3.
For orange they needs to pay $2 which can be written as -2.
So, the amount in table as positive negative numbers: -5, 4, -1, 3, -2.
Part(B)
Now, we need to describe the change to Lisa’s amount of money when the spinner lands on red.
If spinner lands on red then she needs to pay $5.
Thus, if the spinner lands on red the change to Lisa's amount of money is -$5.
The sum of 3 times the value of x and 2 is equal to less than 5 times the value of x. Which equation can be used to find the value of x?
A. 3x+2=4-5
B. 2x+3=4-5x
C. 3x+2=5x-4
D. None of these
sum is the answer to addition problem.
less than is subtraction and "times" is multiplication.
So we have
3x+2=5x-4
So the answer is C.
Also, i'm bored so imma solve it.
3x+2=5x-4
-2 -2
3x=5x-6
-5x -5x
-2x=-6
/-2 /-2
x=3
---
hope it helps
Which conditions are necessary for hail to form?
Answer:
Normally in intense thunderstorm clouds. The temperature should be below 32 degrees Fahrenheit in the clouds where the hail forms, typically there is also large water droplets and strong updrafts.
Answer: The freezing temperature of the air below the cloud causes the water droplets to freeze.
Step-by-step explanation: Weather conditions must be just right in order for hail to occur. The most important factors are dark,gray clouds alongside thunder and lightning in freezing or below freezing temperatures. When thunder is strong enough to raise water droplets up into freezing temperatures,hail is formed.
Write the percent as a fraction or mixed number in lowest term 74 3/8%
Answer:
222/2 = 111
8/2 = 4
74 /1
Step-by-step explanation:
15 points!!!
Write an
equation of the parabola shown.
Answer:
y=1/2x-4
Step-by-step explanation:
find the gradient and sub in to find y intercept.give me brainliest pls this took forever to do,