Answer:
dx/dt = 12
Step-by-step explanation:
Given the equation of a circle expressed as:
x²+y² = 16
Differentiate the expression with respect to x
2x dx/dt + 2y dy/dt = 0
Given
x = 2
dy/dt = 3
Required
dx/dt
Substitute the given parameters into the resulting differential equation
2x dx/dt + 2y dy/dt = 0
2 dx/dt + 2(4) (-3) = 0
y = 4 since the radius is 3,
2 dx/dt - 24 = 0
2 dx/dt = 24
dx/dt = 24/2
dx/dt = 12
Using implicit differentiation, it is found that:
[tex]\frac{dx}{dt} = 4 + 3\sqrt{3}[/tex]
The equation of the circle is:
[tex]x^2 + y^2 = 16[/tex]
We are given x = 2, then:
[tex]2^2 + y^2 = 16[/tex]
[tex]y^2 = 12[/tex]
[tex]y = \pm \sqrt{12}[/tex]
First quadrant, thus, positive:
[tex]y = \sqrt{12}[/tex]
[tex]y = 2\sqrt{3}[/tex]
Applying implicit differentiation, we have that:
[tex]2x\frac{dx}{dt} + 2y\frac{dy}{dt} = 16[/tex]
We are given that [tex]frac{dy}{dt} = -3[/tex], then:
[tex]2(2)\frac{dx}{dt} - 12\sqrt{3} = 16[/tex]
[tex]4\frac{dx}{dt} = 16 + 12\sqrt{3}[/tex]
[tex]\frac{dx}{dt} = \frac{16 + 12\sqrt{3}}{4}[/tex]
[tex]\frac{dx}{dt} = 4 + 3\sqrt{3}[/tex]
A similar problem is given at https://brainly.com/question/9543179
Anyone know the answer?
Can someone tell me the answer Plz I’m struggling I’ll give brainlist and points
Answer:
4. 3
5. 5
Step-by-step explanation:
Let x = number of blocks in a bag.
4.
Left side = 2 bags & 7 blocks
Right side = 1 bag & 10 blocks
The beam is balanced, so the weights of the two sides are equal.
2x + 7 = x + 10
x = 3
There are 3 blocks in a bag.
5.
Left side = 3 bags & 6 blocks
Right side = 4 bags & 1 block
The beam is balanced, so the weights of the two sides are equal.
3x + 6 = 4x + 1
-x = -5
x = 5
There are 5 blocks in a bag.
Answer: 4. x+3x=x+1x
5. x+3=4+3x
Help Asap!!! Name The Angle Pair And Find The Missing Value.
Answer:
Step-by-step explanation:
The two angles are vertically opposite. Vertically opposite angles are equal.
2 + 3x = 62 Subtract 2 from both sides
2-2+3x = 62-2
3x = 60 Divide by 3
3x/3 = 60/3
x = 20
The unknown part of the angle = 20
Answer:
vertical angles
X=20
Step-by-step explanation:
I know that the two angles have to be congruent because they are vertical angles. Congruent means that they equal each other so then the equation would be, 2+3x= 62
X=20
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help fast
Answer:
Length: 40ft
Width: 15ft
Step-by-step explanation:
Since we're comparing the two and we know they equal the same perimeter I would write it out like so,
(x+25) + x = 2x + (x + 10)
Combine like terms to end up with...
2x + 25 = 3x + 10
-10 -10
2x + 15 = 3x
Subtract 2x from both sides which you get 15 = 1x (1x is the same as x)
x = 15
One side of Cat's driveway is x so that means it is 15ft and the other side (x+25) you replace the x with 15 and add. (15 + 25) which equals 40ft.
Hope that helps and have a great day!
Answer:
Length is 40ftWidth is 15ftStep-by-step explanation:
Since the perimeter of both driveways are the same, we can write an equation comparing the two.
(x + 25) + (x) = (2x) + (x + 10)
Now, we can solve for x.
(x + 25) + (x) = (2x) + (x + 10)
~Remove parenthesis and combine like terms
2x + 25 = 3x + 10
~Subtract 25 to both sides
2x = 3x - 15
~Subtract 3x to both sides
-x = -15
~Divide -1 to both sides
x = 15
Now that we know what x equals, we can find the length and width of Cats driveway.
Length:
x + 25
15 + 25
40
Width:
x
15
40 + 15 = 55ft
Therefore, the length is 40ft and the width is 15ft.
Best of Luck!
Read the paragraph at the top and answer the question. (First to get it correct will get brainlesit!:)
Answer: definition 1
Step-by-step explanation:
Safara wants to rent a bicycle. The
graph shows the cost
for renting a bicycle for different lengths of time.
a. What is the slope of the line? Show your work.
Answer:
30
Step-by-step explanation:
We can use the points (0,0) and (2,60) to determine the slope using the formula y2-y1/x2-x1.
Plug in values: (60-0) / (2-0)
=60/2
=30
I need this done by October 29th.
Use properties of operations to write two equivalent expressions for 13(4 + x).
1. Explain how to distribute the 13 to the terms inside the parentheses, then do the distribution. Use multiplication to simplify the result.
Answer:
i need answer too plz help
Step-by-step explanation:
Answer:
you have to shuffel the numbers up utill you find the divisor
Step-by-step explanation:
first you pu 10 10↑⇔
The value of y is directly proportional to the value of x. If y = 45 when x =
180, what is the value of y when x = 80?
Step-by-step explanation:
y=45 when x=180 that is x is higher than y
4of y will give you 1of x that 45×4= 180
so when x is 80 so y will be 80÷4 that is 20
so y= 20
57- (-13)= helpppi need it like now
Answer: 7
Step-by-step explanation:
Pleaseeeee helpppp!!!!!
Answer:
A.
Step-by-step explanation:
Answer:
I believe A
Step-by-step explanation:
A builder wants to create a rectangular room in a house she wants it to have a total area of 375 square feet, and it should be 10 feet longer than it is wide
Answer:
Width = 15 ft
Length = 25ft
Step-by-step explanation:
Given that:
Total area = 375 ft²
Length = 10 + width
Let ;
Width = x
Length = x + 10
Area of a rectangle = Length * Width
Area of rectangle = 375 ft²
375 = x * (x + 10)
375 = X² + 10x
x² + 10x - 375 = 0
X² + 25x - 15x - 375 =. 0
x(x + 25) - 15(x + 25) = 0
x +. 25 = 0
x - 15 = 0
Hence,
x = - 25 or x = 15
X cannot be negative
Hence, x = 15
Width = 15 ft
Length = x + 10 = 15 + 10 = 25 ft
what is the value of 8+2 to the third power times 5
Answer:
48
Step-by-step explanation:
use pemdas. first you do the exponents so you now have 8+8x5
then multiplication so now you get 8+40
then add to get your answer: 48
hope this helps :))
The Statue of Liberty weighs 450,000 pounds. How many tons does the statue weigh?
Answer:
it will be a hurdered
Step-by-step explanation:
Answer: that is 225 tons
Step-by-step explanation:
Yeah that’s what it is.
What is 9.4 x 10^8 written in standard form?
Someone please help me!!!!
Answer:
A
Step-by-step explanation:
940000000
hopefully it's right
Plot each value on a number line
Step-by-step explanation:
hope it helps
for any question comment me❤❤
HELP PLEASEEE TIMED TEST
Which comparison is true?
A. 4.280 > 4.3
B. 5.6 > 4.3
C. 4.3 < 4.280
O D. 5.3 < 4.280
Answer:
B.
Step-by-step explanation:
5.6 Is LARGER THAN 4.3
The correct comparison is option (B) 5.6 > 4.3
What is comparison?"A comparison is to examine the differences between numbers or mathematical expressions to decide if it is greater than, smaller than or equal to another quantity."
Comparing decimal numbers:First compare whole part of numbers (number before decimal).
If the whole number are same then compare tenth digit.
If the decimal number is same till tenth digit then compare hundredth digit.
Using the rules of comparing decimals,
5.6 > 4.3
Therefore, the correct answer is option (B)
Learn more about comparing decimals here:
https://brainly.com/question/123818
#SPJ2
I need someone smart to answer this
Is 5(x - 3) = 5x + 15 the Distributive Property? Explain your answer with supporting equations.
Answer:
Distributive Property is when you break down numbers inside of parentheses.
Here are some Examples:
2(x + 2) = 3x + 65
5(x + 7) = 4x + 29
Yes, 5(x - 3) = 5x + 15 is the Distributive Property.
What is the name of the property that will be used to simplify the expression x(x + 2)?
Answer:
distributive I think
Step-by-step explanation:
A hat cost $18. The store owner marks up the price 15% in order to earn a profile. What is the amount of the markup?
Answer:
The markup is 20.7 added along with 18, but the markup without the original price added is 2.7
Step-by-step explanation:
If you want step by step just comment and I’ll do it
Answer:
You need to multiply $2.70 cents is the answer. But with the markup, the price is $20.70
Step-by-step explanation:
You take the dollar amount, 18.00, and then multiply it by the percent, which we move the decimal since we are turning it into a decimal, since it is 15 we move the decimal two spots which makes it, 0.15.
Shawn bought 3 items at the grocery store that cost $3.35, $6.85, and $2.90. After paying the cashier, Shawn received $2.15 in change.
How much did Shawn give the cashier to pay for his purchase?
Answer: 17.44
Step-by-step explanation:
Add them all, up to get how much he paid the cashier.
What is the value of sin^-1(cos(2pi/3))?
Answer:
-pie/6
Step-by-step explanation:
Answer: C
-pi/6
Step-by-step explanation:
Select all tables that could represent a function.
Answer: A and E
A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.
From all tables, table A, table C and table E could represent a function.
What is function?"It is a relation between input and output values.""In function, for each input there is exactly one output."For given question,
We have been given five tables.
Here, column x represents input values and column y represents the output values.
For table A,
each input value distinct output.
Hence table A could represent a function.
For table B,
there are two outputs -4 and -6 for the input 3.
So, table B could not represent a function.
For table C,
There is distinct output for each input.
So, table C could represent a function.
For table D,
There are four output values for the input 3.
So, table D could not represent a function.
For table E,
There is distinct output for each input.
So, table E could represent a function.
Therefore, table A, table C and table E could represent a function.
Learn more about the function here:
https://brainly.com/question/12431044
#SPJ2
The whale swims down 150 more feet more. What is the whale’s elevation now?
The Cooking Club made some pies to sell at
a basketball game to raise money for the
new math books. The cafeteria contributed
four pies to the sale. Each pie was then cut
into five pieces and sold. There were a total
of 60 pieces to sell. How many pies did the
club make?
Answer: HOPE THIS HELPS! :D
12 pies
STEPS:
There was 5 pieces per pie
There was 60 pieces
60/5 aka 60 divided by 5
= 12
meaning there is 12 pies with 5 pieces each.
To Check Your Answer:
Multiply to check your answer.
In this case multiply
5x12= 60
I NEED HELPS!!! O///O
Write an equation that has a slope of 4 and a y-intercept of (0,1)
Answer:
y = 4x + 1
Step-by-step explanation:
slope intercept form is written as y = mx + b. m represents slope, and b represents y intercept. plug in the slope and y intercept (replace the variables) and you get y = 4x + 1. hope this helps :)
Please help somebody
Answer:
Divide the diameter by 2.
94 < 10 ( t - 2 ) + 74
What is this I am confused? Please help I am in Algebra 1. May you also explain your steps too.
Answer:
Step-by-step explanation:
94<10(t-2)+74
94<10t-20+74
94<10t+54
94-54<10t
40<10t
t=4
or
4>t
0.5 divided by 4.25, 2.4 divided by 16.8, 38.5 divided by 0.5, 107.25 divided by 2.5
Answer: thats the answer
Step-by-step explanation:
0.5 divided by 4.25 is 0.11,
2.4 divided by 16.8 is 0.14
38.5 divided by 0.5 is 77
107.25 divided by 2.5 is 42.9
Answer:
Step-by-step explanation:
0.5 divided by 4.25 is 0.11,
2.4 divided by 16.8 is 0.14
38.5 divided by 0.5 is 77
107.25 divided by 2.5 is 42.9
Finding the missing sides and angles
Answer:
B=27 degree angle
