Answer: Y = -x/2 + 12.5
Step-by-step explanation:
You wrote the equation strange so i don't really know if the end of the equation is a 25 or not
The length of a rectangle is increasing at a rate of 4 meters per day and the width is increasing at a rate of 1 meter per day. When the length is 10 meters and the width is 23 meters, then how fast is the AREA changing
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
Ava bought 2 sandwiches for a total of $5.25, a bowl of soup for $3.00, and a bag of chips for $1.25. How much change did she get back if she paid with a $20.00 bill?
Answer:
Step-by-step explanation:
5.25
3.00
1.25
_____
$ 9.50
- 20.00
_______
$10.5
Ms. Smith mixes orange juice with seltzer in a ratio of 3:1. If she uses 48 ounces of orange juice, how many ounces of seltzer does she need?
Answer:
16 oz
Step-by-step explanation:
the ratio is 3 oz of oj to 1 oz of seltzer.
I pretty much just divided 48 by 3.
I hope this is correct and I hope it helps you!
Estimate by rounding each mixed number to thenearest whole number 5 1/3 - 3 7/9
Answer:
1.6 or 2?
Step-by-step explanation:
5-3 =2
1/3 - 7/9 LCD
3/9 - 7/9 =-4/9
2-4/9 = 1 5/9
16/3-34/9 LCD
1 5/9 = 1.5555555555 rounded is 1.6 or 2? Not sure if decimals count.
Find the area of the triangle created with the diagonal. Each side length measures 8 feet. Help ASAP please.
What figure has one endpoint and continues without end on one direction?
Group of answer choices
A. line
B. line segment
C. ray
D. point
Answer:
Step-by-step explanation:
b line segment
A dog trainer compared mean numbers of lessons for two
groups of dogs to learn a new trick.
Mean number of lessons Mean Absolute Deviation (MAD)
Group A 5
Group B 3
2
2
Which statement about the data is true?
The mean number of lessons for group A is greater than the mean
for group B by 1 MAD
B. The mean number of lessons for group A is greater than the mean
for group B by 2 MAD
C. The MAD for group A is more than the MAD for group B
D. On average, the dogs in group B required more lessons than the
dogs in group A
Answer:
The mean number of lessons for group A is greater than the mean for group B by 1 MAD
Step-by-step explanation:
Given the table :
_______Mean number of lessons ____ MAD
GRP A _____ 5 ___________________ 2
GRP B _____ 3 ___________________ 2
With group A having a mean number of lessons of 5 and Group B having a mean number of lessons of 3
Mean of A > mean of B ; hence, Group A dlgs tool more lessons to learn the trick than group B dogs.
The mean absolute deviation (MAD), measures how far a value is from the mean
Difference in mean number of lessons :
5 - 3 = 2
2 lessons ;
Number of mean absolute deviations:
Difference / MAD value = 2 / 2 = 1
Answer:
The mean number of lessons for group A is greater than the mean for group B by 1 MAD.
Step-by-step explanation:
Test approved
Suppose that point P is on a circle with radius r, and ray OP is rotating with angular speed o. Find each of the following for the given values ofr, w, and t r= 10 cm, 6 = radian per sec, t = 4 sec 6 radians (round to the nearest thousandths) a) What is the angle generated by P in time t? cm (round to the nearest thousandths) b) What is the distance traveled by P along the circle in time t? c) What is the linear speed of P? cm/sec (round to the nearest thousandths)
Please help my daughter has been stuck on this for the pass hour now
Answer:
algebraic expression: 3x + 2b
coefficients: 3 and 2
variables: w and b
# of terms: 2
constant: 0
algebraic expression: 6xy - 2c + 4
coefficients: 6 and -2
variables: x, y, and c
# of terms: 3
constant: 4
algebraic expression: 2/3 y - 3p
coefficients: 2/3 and -3
variables: y and p
# of terms: 2
constant: 0
Answer:
Problem 1:
Coefficients are : 3 & 2
Variables are: w & b
Number of terms: 2
Constant: none
Problem 2:
Coefficients are : 6 & -2
Variables are: xy & c
Number of terms: 3
Constant: 4
Problem 3:
Coefficients are : [tex]\frac{2}{3}[/tex] & -3
Variables are: y & p
Number of terms: 2
Constant: none
Step-by-step explanation:
Okay, lets break this down.
An Algebraic expression is not meant to be solved, but rather used to determine the various components inside of it to better understand how to solve equations later on. Although for now lets look at these problems. :
A Coefficient in terms of algebra, is the number before a variable. In other terms, a coeffiecient is the number before the letter such as 3w. Looking at 3w we see that there are two parts: 3, and w.
The number 3 is the coefficient while the variable is the letter w. Variables are always the letters.
Variable: A letter used to determine an unknown value such as x
Now a term is a single mathematical expression. It may be a single number (positive or negative), or a single variable ( a letter). (Can also be a coeffient with a variable multiplied or divided by one another as such :
[tex]3w = 3*w\\\frac{3}{w} = 3 / w[/tex]
Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.
Now with that said, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.
With all of that said, lets look at the problems given:
Problem 1:
Coefficients are : 3 & 2
Variables are: w & b
Number of terms: 2
Constant: none
Problem 2:
Coefficients are : 6 & -2
Variables are: xy & c
Number of terms: 3
Constant: 4
Problem 3:
Coefficients are : [tex]\frac{2}{3}[/tex] & -3
Variables are: y & p
Number of terms: 2
Constant: none
I would be happy to help you again in the future, and hope that this provide you with some clarification. Have a nice day!
At a certain conference the information technology session and the social media session occur at the same time so it is impossible for an attendee to sit in on both sessions. If the probability that an attendee sits in on the information technology session is 0.11, and the probability that an attendee sits in on the social media session is 0.62, what is the probability that an attendee sits in on the information technology session or the social media session?
Answer:
0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.
Step-by-step explanation:
What is the probability that an attendee sits in on the information technology session or the social media session?
They cant be in both sections simultaneously, so this probability is the sum of each probability.
0.11 = 11% probability that an attendee sits in on the information technology session
0.62 = 62% probability that an attendee sits in on the social media session
0.11 + 0.62 = 0.73
0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.
what are the special purpose books?
Answer:
hi Plz Subscribe Sameer Duos Channel
Help please!
Factoring Quadratics
Factor the following quadratic expressions into two binomials. Show your work.
1. x + 34x + 64
2. x - 14x + 40
3. X2 + 8x - 48
4. x2 - 17% - 60
5. 2x + 13x + 20
6. 5x? - 13x + 6
7. 8x + 14x - 15
8.-8x? - 20x + 12
Answer:
Step-by-step explanation:
Sry but I only did 1,2,5,6,7&8
But am not sure if am correct just try
A trigonometric identity derived from the Pythagorean theorem is called a ___ identity.
1) cosecant
2) cosine
3) Pythagorean
4) secant
5) cotangent
The answer is 3) Pythagorean.
A trigonometric identity derived from the Pythagorean theorem is called a Pythagorean identity.
How to complete the blank?Mathematically, the Pythagorean theorem states that
Hypotenuse^2 = Adjacent^2 + Opposite^2
Divide through by Hypotenuse^2
This gives
1 = cos^2(x) + sin^2(x)
Rewrite as:
cos^2(x) + sin^2(x) = 1
As a general rule, the above represents the basic Pythagorean identity.
Hence, the word that completes the blank is Pythagorean.
Read more about Pythagorean identity at:
https://brainly.com/question/1969941
#SPJ2
What fraction is equivalent to 8%
2/25
4/50
8/100
this are the smallest fractions equivalent to 8%
Answer:
8/100
Step-by-step explanation:
8% = 0.08 = 8/100
let me know if you need more of an explaination <33
Please help me ASAP
Ryan has 8 kittens. Two are white. What fraction of the kittens are not white? Write in simplest form
Answer:
3/4
Step-by-step explanation:
If 2 out of 8 of the kittens are white, than 6 aren't white. That fraction would be 6/8 but when you simplify you get 3/4.
The answer is 3/4 of the kittens are not white.
This a simplifed version of 6/8 which is the complement of 2/8, the amount of white kittens.
Hope this helps, if not, comment below please!!!
:L
All of the items in a bicycle shop are on sale for 30% off the regular price. Rene spends $74.90 to buy a bicycle and a
helmet (without taxes). If the regular price of the bicycle is $85, which equation can be used to find the regular price of the
helmet, h?
0.3(74.90+ h) - 85
0.3(85+) - 74.90
0.7(74.90+h) - 85
0.7(85+1) - 74.90
Answer:
0.7(85+)-74.90
Step-by-step explanation:
Answer:
D - 0.7(85+)-74.90
Step-by-step explanation:
Got 100% on the quiz! Have a good day!! :)
Joe has 16 pounds of fertilizer for his three gardens. He uses ⅜ of the fertilizer in his first garden and ¼ of the fertilizer in his second garden. What fraction of the fertilizer is left for the third garden? *
Answer:
3/8
Step-by-step explanation:
3/8 of 16 is 6
1/4 of 16 is 4
6+4 = 10
16-10 = 6
3/8 of 16 = 6
at what rate per annum a sum of Rs 25000 amount to Rs 26250 in 6 months.
Answer:
Rate = 10%
Step-by-step explanation:
Given:
Amount deposit = 25,000
Amount get = 26,250
Time = 6 month = 6 / 12 = 0.5 year
Find:
Rate
Computation:
Interest = Amount get - Amount deposit
Interest = 26,250 - 25,000
Interest = 1,250
Interest = P x R% x T
1,250 = 25,000 x R% x 0.5
Rate = 10%
I’m Sorry But here’s An Other One :’)
Answer:
32.34
Step-by-step explanation:
9.35 + 9.35 + 6.82 + 6.82=32.34
Your welcome.
If one he side of a square note book measures 20cm what is the area of the front cover of the note book
Answer:
400 sq cm
Step-by-step explanation:
20cm x 20cm
Which is the better deal? $2.89 for 4 quarts or $4.39 for 6 quarts
Answer:
$4.39 for 6 quartz
Step-by-step explanation:
if you multiply 2.89 by 2 it's more then 4.39
Can some on help me not sure thanks
Answer:
13 I think
Step-by-step explanation:
So basically all i did was double what the gate had. 5=15 3=13 I dont know if that makes lol
Need help please help me
Can you guys help plsssss I’m tireddddd
Answer:
#8 - 52°, #9 - 29°
Step-by-step explanation:
8. The two angles added together are a straight line, so they sum up to 180 degrees.
x + (2x + 24°) = 3x + 24° = 180°
3x + 24° = 180°
3x = 156°
x = 52°
9. Similar to #8. "Supplementary" means they add up to 180° (whether they are actually next to each other or not).
So, 4x + (2x + 6°) = 180°
6x + 6° = 180°
6x = 174°
x = 29°
Hope this helps. Get some rest. Zzzzz :)
9. What is the volume of this cube? (2 pts.) Show your work here.
Answer:
Volume = 27 cubic units
Step-by-step explanation:
First, the formula of volume is l x h x w.
Second, the l, h, and w, are all 3, so to get your answer you do 3 x 3 x 3 which equals 27.
Hope this helps!
HELP !!!!!!!!!! PLEASEEEEEEE
Answer:
13.825, 13, -13 25/40
Answer:
13.825, 13, and -13 25/40
Step-by-step explanation:
Hope this helps :)
Can someone please help and thank you:)
The number of vinyl album sales (in millions) in a country x years after 2010 can be modeled by y = 0.1242 + 0.32 +3.3
for 2010 through 2016. Use this model to predict the number of vinyl album sales in the country in the year 2020 where
(2 = 10) (1 point)
• The number of vinyl album sales in the country in the year 2020 will be 20.5 million
The number of vinyl album sales in the country in the year 2020 will be 18.3 million
The number of vinyl album sales in the country in the year 2020 will be 7.74 million
O The number of vinyl album sales in the country in the year 2020 will be 21.12 million
Answer:
b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.
Step-by-step explanation:
Given - The number of vinyl album sales (in millions) in a country x years after 2010 can be modeled by y = 0.12 x² + 0.3 x +3.3 for 2010 through 2016.
To find - Use this model to predict the number of vinyl album sales in the country in the year 2020 where x = 10
a) The number of vinyl album sales in the country in the year 2020 will be 20.5 million.
b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.
c) The number of vinyl album sales in the country in the year 2020 will be 7.74 million.
d) The number of vinyl album sales in the country in the year 2020 will be 21.12 million.
Proof -
Given that,
The equation be - y = 0.12 x² + 0.3 x +3.3
Now,
Put x = 10 in above equation we get
y = 0.12×10² + 0.3×10 +3.3
= 0.12×100 + 3 + 3.3
= 12 + 6.3 = 18.3
⇒y = 18.3
∴ we get
The number of vinyl album sales in the country in the year 2020 will be 18.3 million.
So,
The correct option be - b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.
Find the length of the third side. If necessary, round to the nearest tenth.
12
=========================================================
Work Shown:
a = 9, b = 12 are the two legs of the right triangle
c = unknown is the hypotenuse
Apply the pythagorean theorem to find c
a^2 + b^2 = c^2
9^2 + 12^2 = c^2
81 + 144 = c^2
225 = c^2
c^2 = 225
c = sqrt(225)
c = 15
Answer:
15
Step-by-step explanation:
Since this is a right angled triangle we can use pythagoras theorem to work out the length of the hypotenuse, or the the longest side.
pythagoras theorem says that a²+b²=c² with c² being the hypotenuse, or missing side here.
12²+9²=225
Because 225 is equal to C², or C squared, we must take the square root in order to find the actual length.
√225 = 15