Answer:
The Chain Rule can also help us deduce rates of change in the real world. From the Chain Rule, we can see how variables like time, speed, distance, volume, and weight are interrelated. A horse is carrying a carriage on a dirt path.
One real-life application of the chain rule is the study of motion in a car that is traveling along a curved path.
What is the chain rule?The chain rule is a fundamental concept in calculus that enables us to calculate the derivative of composite functions.
Composite functions are functions that are constructed by combining two or more functions. The chain rule tells us how to calculate the derivative of a composite function by breaking it down into simpler parts.
One real-life application of the chain rule is in physics, specifically in the study of motion.
For example, suppose we have a car that is traveling along a curved path. We want to know the rate at which the car is changing its speed at a particular point on the path. To do this, we need to find the derivative of the car's speed with respect to time.
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The question seems incomplete, the complete question would be as:
Write a real-life application of the chain rule.
Evaluate the function for an input value of 3. f(x)= −4x 2 −3x−5
Answer:
- 50
Step-by-step explanation:
x = 3
f ( x ) = - 4x^2 - 3x - 5
f ( 3 )
= - 4 ( 3 )^2 - 3 ( 3 ) - 5
= - 4 ( 9 ) - 3 ( 3 ) - 5
= - 36 - 9 - 5
= - 50
A Ferris wheel rotates 235 degree. Then, it stops to let passengers board. The Ferris wheel stop how many degrees short of a complete rotation?
Answer:
125°
Step-by-step explanation:
A ferris wheel is basically the shape of a circle. Circles/spheres are 360°. Since it already went 235°
360-235=125
I need help on this I’ll report if a link
Answer:
72.5°
Step-by-step explanation:
180° is a straight line. Subtract 35° from 180°, you get 145°, now divide 145° by 2, you will get 72.5°.
Hope this helped.
The sum of all angles is 360
we have one angle given which is 35 degrees the angle infront of it is also the same as opposite angles are always equal
so x= 35
for y as said earlier opposite angels are equal so the empty 2 angles are also y
so now we have
[tex]4y+35+35=360\\4y+70=360\\4y=290\\y= 72.5[/tex]
so y=72.5 degrees
Sophie surveyed 30 random students in her school and 18 said they enjoy watching baseball. A total of 1,050 students are in the school. How many of these are EXPECTED to enjoy watching baseball? *
Answer:
630 people
Step-by-step explanation:
Ratios:
[tex]\frac{18}{30} =\frac{x}{1050} \\\\30x=18900\\x=630[/tex]
A deer weighs 13 killograms and a boa constrictor weighs 17 killograms. About How many grams heavier is the boa constrictor than the deer
Answer:
4 kilogram
Step-by-step explanation:
A deer weighs 13 kilogram
A boa constrictor weighs 17 kilogram
The weight in grans in whichj the boa constrictor is heavier than the boa can be calculated as follows
= 17-13
= 4 kilograms
Hence the boa constrictor is heavier than the boa by 4 kilogram
What 2 conditions must be met for Segment XY to be the Midsegment of Triangle SRT?
List 1. and 2. in the box below.
1.______________________________________________________
2.__________________________________________________________
If Segment XY is the midsegment of Triangle SRT, what are the 2 properties that are created? List 3. and 4. in the box below.
3.________________________________________________________
4.___________________________________________________________
Answer:
Midsegment is the segment connecting the midpoints
1. X must be a midpoint of RS2. Y must be a midpoint of RTProperties of a midsegment
3. XY is parallel tp ST4. XY is half the length of STThat's based on BPT or Thales theorem
#1
X must be midpoint of SR#2
Y must be midpoint of TR#3
XY is half of ST#4
XY|| STA banana split costs $2.50. A milkshake costs $1.70. Bobby,Jack, and Ted ordered one of each and split the cost. How much does each boy owe?
Answer:
$4.20
2.50+1.70=4.20
Answer:
Jack= $4.20
Bobby=$4.20
Ted=$4.20
Step-by-step explanation: This is the answer because if you add up all the drinks the total they payed is $12.60 so you just divided that by how many people there are and get $4.20
Can you please help me
Answer:
there is the answer. ❤ hope it helps
i need help getting how do i do this??
Answer:
5 units
Step-by-step explanation:
By distance formula:
[tex]r = \sqrt{(4 - 1) ^{2} + {(7 - 3)}^{2} } \\ \\ r = \sqrt{ {3}^{2} + {4}^{2} } \\ \\ r = \sqrt{9 + 16} \\ \\ r = \sqrt{25} \\ \\ r = 5[/tex]
Answer:
radius = 5 units
Step-by-step explanation:
The radius is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (4, 7)
r = [tex]\sqrt{(4-1)^2+(7-3)^2}[/tex]
= [tex]\sqrt{3^2+4^2}[/tex]
= [tex]\sqrt{9+16}[/tex]
= [tex]\sqrt{25}[/tex]
= 5
evaluate 9P4
A. 9
B. 362,880
C. 126
D. 3024
Answer:
3024
Step-by-step explanation:
3024
Option (D) 3024 is the permutation value is the correct answer.
What is a permutation?A permutation is an arrangement of objects in a definite order. It is a number of ways a particular set can be arranged, where the order of the arrangement matters.
For the given situation,
The value of 9P4
The formula to find permutation is
[tex]nP_{r}=\frac{n!}{(n-r)!}[/tex]
Here, n = 9 and r = 4
⇒ [tex]9P_{4}=\frac{9!}{(9-4)!}[/tex]
⇒ [tex]\frac{9!}{5!}[/tex]
⇒ [tex]\frac{5!(6)(7)(8)(9)}{5!}[/tex]
⇒ [tex](6)(7)(8)(9)[/tex]
⇒ [tex]3024[/tex]
Hence we can conclude that option (D) 3024 is the permutation value is the correct answer.
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35POINTS PLZ HELP FAST
What is the volume of a cone with a radius of 4 in and a height of 1 ft?
50.24 cubic in
603.19 cubic in
16.7 cubic in
200.96 cubic in
Answer:
Step-by-step explanation:
16.76FT^3
Find the y-intercept of the following expression
(2x – 1) (3x - 1)
Answer:
5
Step-by-step explanation:
Answer:
y-int. is (0,1)
Step-by-step explanation:
HELP ME PLEASE I NEED HELP NOW PLEASE I NEED HELP I DONT HAVE TIME I HAVE LUNCH SOON I AM IN CLASS HELPCEMACKSLJDMAKLHNDLVKJAHSNDLKVJASHDNVKJLASHNDVKLJASNHVDKJLSANHVKJLHBVNHJWKABGEKJHWBAGVEKHJABGWEJVKHABGWEVHJKAGWBEVJKHAWBH
Answer:
3
Step-by-step explanation:
If figure A is half the size of figure B, then 1.5 x 2 = 3.
(y-6x+5)+(6y-5x+3)+(5y+2x-7)
Answer:
Hi! The answer to your question is -9x+12y+1
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
Stay Safe!!!
- Brooklynn Deka
first one that gets it correctly gets branlyest
Answer:
200 in2
Step-by-step explanation:
diameter= 15 in. so raduis = 15/2
area of circle = πr2
= 22/7 * 15/2 *15/2
= 176.79
rounding to the nearest 100, its 200 in2
Between which 2 consecutive integers is each number located on a number line?
__ < .99 < __
Answer:
x lies between 0 and 1 on the number line
Step-by-step explanation:
As we move to the left from 0.99, the first integer we reach is 0; as we move to the right from 0.99, the first integer we reach is 1.
Thus, 0 < x > 1: x lies between 0 and 1 on the number line.
mind helping a girl out? pls and thank you lol
Answer:
First box: 2
Second box: 54
Step-by-step explanation:
The ratio is 1:6.
In other words, the second column is the first column times 6.
2 x 6 = 12
3 x 6 = 12
5 x 6 = 30
9 x 6 = 54
Therefore, the first box would be 2.
The second box would be 54.
Step-by-step explanation:
ginger ale 2because everything is multiplied by 6
so 9 *6
A scientist has collected the following data on the population of a bacteria colony over a thirty-minute period:
5 minutes: 78,000
10 minutes: 234,000
15 minutes: 657,000
20 minutes: 1,784,000
25 minutes: 5,040,000
30 minutes: 14,980,000
Which type of graph would be best to use to display the growth of the colony?
A.) a bar graph
B.) a circle graph
C.) a histogram
D.) a line graph
15 m
4 m
4 m
160°
5 m
Find the area of the figure. Round your answer to the nearest tenth.
Answer:
17.3
Step-by-step explanation:
[tex](2 \sqrt{3}) \times 5 = 17.3[/tex]
The graphs shows the favorite colors chosen by some middle school students Favorite Colors Red Yellow Orange Blue Color Green Black Pink Purple 8 9 10 Number Which statement is supported by the information in the graph? Fewer than 30% of the students chose red yellow, or orange as their favorite color More than of the students chose pink as their favorite color. • Exactly 18% of the students chose blue as their favorite color. Exactly of the students chose green black or purple as their favorite color.
explain you answer choice
Answer:B
Step-by-step explanation:
Its b,i swear on my doggie
Find the distance between A and B
Answer:
11 units
Step-by-step explanation:
tell whether a triangle can have the given angle measures:
51°, 92°, 48°
Answer:
no
Step-by-step explanation:
since the sum of the angles is 197°
it cannot have the given angle measures
Answer:
No
Step-by-step explanation:
The angles of a triangle should sum up to 180.
But the is 191°
Which of the following statements is true?
A regular pentagon always has all the properties of a pentagon
A quadrilateral never has all the properties of a parallelogram
A right triangle sometimes has all the properties of a triangle
A regular hexagon never has all the properties of a hexagon
Answer:
Step-by-step explanation:
Option C a right triangle is the correct answer
PLS HELP ILL GIVE BRAINLIEST XD
Answer:
No i think
Step-by-step explanation:
Its going by 3, im pretty sure u cant get to 220.
Answer: No
Step-by-step explanation:
1. The pattern is +3 because
-4+3=-1
-1+3=2
2+3=5
5+3=8
2. To see if 220 is in the sequence and the starting point is -4 instead of 0, subtract 220-(-4)=224. Since 224/3 is 74.6666666667, which is not an integer, then 220 does not appear in the sequence.
Please help if you know the answer please
Answer:
1 3/7 or 10/7
Step-by-step explanation:
2 is also known as 14/7. 14/7 - 4/7 is equal to 10/7 or 1 3/7.
620 000 divided by 10 to the 3rd power plz help
Answer: 620
Step-by-step explanation: 620,000 / 10^3 = 620
Answer:
620
Step-by-step explanation:
10^3 = 10x10x10 =1000
620,000/1,000=620
3/4 + (-1/2) + (-2/3)
Answer:[tex]- \frac{5}{12}[/tex]
Step-by-step explanation:
https://www.symbolab.com/
Answer:
Okay so you are going to get -5/12
Step-by-step explanation:
what you are going to do first is look at your signs the plus and minus signs are there to try and mix you up. What you are doing is subtracting all three of these fractions... Okay?
3/4 - 1/2 - 2/3
What you need to do is turn 1/2 into 1/4 because when adding or subtracting fractions you need to have the same denominator.
Subtract:
3/4 - 2/4 = 1/4
Now you are going to have to multiply the tops and the bottom of 2/3 by four (you should get 8/12) and multiply 1/4 (top and bottom) by three (you should get 3/12). This allows you to subtract 2/3 and 1/4 to get a product of 5/12. You can not simplify this fraction any further so you have your answer!
-5/12
*EDIT
Don't forget the minus sign.
Find the volume of the cylinder. Round your answer to the nearest tenth.
12 in.
10 in.
Answer: this is your answer 4523.9
Step-by-step explanation:
Todd is walking dogs to earn money. He is trying to earn $15.00 . If he is paid 2.50 per dog , how many dogs will todd have to walk?
Answer: 6 dogs
Step-by-step explanation:
Just multiply 2.50 times something
So 2.50 x 6= 15
So the answer is 6 dogs Todd has to walk 6 dogs in oder to earn 15.00
A city is interested in building a parking garage in a certain area. Three hundred randomly selected residents from this area were asked, "Do you support the city's decision to build a parking garage in your area?" Of the 300 residents interviewed, 203 said no, 7 said yes, and 90 had no opinion. A large-sample z-confidence interval, p ± z * square root of p hat times 1 minus p hat over n, was constructed from these data to estimate the proportion of the residents who support building a parking garage in a certain area. Which of the following statements is correct for this confidence interval?
This confidence interval is valid because a sample size of more than 30 was used.
This confidence interval is not valid because the quantity np is too small.
This confidence interval is valid because each area resident was asked the same question.
The confidence interval is valid because no conditions are required for constructing a large-sample confidence interval for a proportion.
This confidence interval is not valid because "no opinion" was included as a response category for the question.
Answer:
This confidence interval is not valid because the quantity np is too small.
Step-by-step explanation:
300(7/300)= 7<10
The measure of the length and width of the rectangle is given as 135 feet and 92 feet respectively.
What is a rectangle?A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.
Here, we have,
to determine the dimensions
From the information given, we have the following proofs;
Width, w = x+15
Length, l = 2(x+15) - 49
Length, l = 2x + 30 - 49
Length = 2x - 19
The formula for perimeter of a rectangle is given as;
Perimeter = 2( length + width)
Substitute the expressions into the formula
Perimeter = 2 ( x+ 15 + 2x - 19 )
Perimeter = 2 (3x - 4)
Perimeter = 6x - 8
We have that the area is 162 more than 27 times the perimeter, which is Area = 27 (perimeter )+ 163
Area = 27(6x-8) + 162
Expand the bracket
Area= 162x - 216 + 162
Area = 162x - 54
But we know that
Area = length × width
Substitute the expressions
Area = (x+15)(2x-19)
Area = 2x² - 19x +30x - 285
Area = 2x² + 11x - 285
Equate the two formulas for area
162x - 54 = 2x² +11x - 285
Collect like terms
2x² + 11x - 285 - 162x + 54 = 0
2x² - 151x - 231 = 0
Solve the quadratic equation
(2x + 3)(x-77) = 0
Let's solve for x
x - 77 = 0
x = 77
The expression for the width;
Width = x+15
Width = 77 + 15
Width = 92 feet
The expression for the length
Length = 2(x+15) - 49
Length = 2 ( 77 + 15) - 49
Length = 154 + 30 - 49
Length = 184 - 49
Length = 135 feet
Thus, the measure of the length and width of the rectangle is given as 135 feet and 92 feet respectively.
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