(a) If A is the area of a circle with radius r and the circle expands as time passes, find dA dt in terms of dr dt . dA dt
Answer:
Step-by-step explanation:
The question is incomplete. Here is the complete question.
If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in terms of dr/dt. dA dt = dr dt (b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 1 m/s, how fast is the area of the spill increasing when the radius is 25 m?
Area of the circle A = πr²
dA/dr = 2πr where r is the radius of the circle
dA/dt = dA/dr * dr/dt
dr/dt is the rate of increase in radius of the oil spill.
Given
dr/dt = 1m/s
radius r = 25m
Substitute into the formula above;
dA/dt = dA/dr * dr/dt
dA/dt = 2πr * 1
dA/dt = 2π(25) * 1
dA/dt = 50πm²/s
dA/dt = 157.1m²/s
Hence the area of the spill is increasing at the rate of 157.1m²/s
answer this for 40 points :D
Answer:
I wish I knew . I have a question for you. wait nah... Thanks for the points my mate ... sorry about it . I need points .
Step-by-step explanation:
friend me if you want :)
Answer:
this is not 40 points its 20 ?
Step-by-step explanation:
Please answer quickly ASAP: How do you find the area of a trapezoid?
Answer:
To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.
Step-by-step explanation:
Answer please ? Find the perimeter of the figure ( must include all sides )
Answer:
32 ft
Step-by-step explanation:
First we can add up all the sides we already know as perimeter is the sum of all the lengths of a shape. 9+6+3+4 = 22
There are two unknown side lengths in the diagram, the long one at the top, and the short one between the 3ft side and the 4ft side. Luckily these can be easily found using the given sides. Since this shape is rectangular in nature (all 90-degree angles), the top length is the same as the bottom length. We know the total bottom length to be 7ft (3+4) so the top length must be 7ft as well.
Similarly, all the vertical lengths on the right side must be equal to the 9ft length on the left side, therefore the unknown length is 3ft (9-6).
Adding on these two new lengths and our total perimeter is 22+7+3 = 32ft.
Hope this helped!
What is 11/9 as a decimal?
. A snack bar is having a sale on hamburgers. At 9:00AM, the snack bar has sold 28 hamburgers. At 12:00PM, the snack bar discovers that it has sold 103 hamburgers. What is the average rate of change between 9:00AM and 12:00PM?
Answer:
75
Step-by-step explanation:
The average rate of change between 9:00 AM and 12:00 PM is 25 if a snack bar is having a sale on hamburgers. At 9:00 AM,
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
It is given that:
A snack bar is having a sale on hamburgers. At 9:00 AM, the snack bar sold 28 hamburgers.
At 12:00 PM, the snack bar discovers that it has sold 103 hamburgers.
The average rate of change between 9:00 AM and 12:00 PM:
= (103 - 28)/(12 - 9)
= 75/3
= 25
Thus, the average rate of change between 9:00 AM and 12:00 PM is 25 if a snack bar is having a sale on hamburgers. At 9:00 AM,
Learn more about the rate of change here:
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Suppose f(x)=2x−5 and g(x)=|−3x+1|. Find the value of f(x−2)
Answer:
2x-9
Step-by-step explanation:
f(x)=2x-5
to find f(x-2) we substitute x-2 in place of x
hence,f(x-2)=2(x-2)-5=2x-4-5
=2x-9
am i correct?
Scientists examined data on mean summer sea‑surface temperatures (in degrees Celsius) and mean coral growth (in millimeters per year) over a several‑year period at locations in the Red Sea.
Temperature (∘C) 29.55 29.96 30.04 30.28 30.34 30.47 30.81
Growth (mm/y) 2.64 2.37 2 .74 2.52 2.34 2.46 2.31
Required:
Use your calculator to find the mean and standard deviation of both sea surface temperature x and growth y and the correlation r between x and y . Then use these basic measures to find the slope and intercept of the least‑squares line for predicting y from x .
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Temperature (∘C) 29.55 29.96 30.04 30.28 30.34 30.47 30.81
Growth (mm/y) 2.64 2.37 2.74 2.52 2.34 2.46 2.31
Using calculator and treating temperature and growth data as samples :
Temperature :
Mean : ΣX/n
n = sample size
Mean temperature (m) = 211.45 / 7
Mean temperature = 30.21°C
Standard deviation (s) :
Sqrt(Σ(X - m)²/n - 1)
s = 0.403
Growth:
Mean : ΣX/n
n = sample size
Mean growth (m) = 17.38 / 7
Mean growth = 2.483 mm/yr
Standard deviation (s) :
Sqrt(Σ(X - m)²/n - 1)
s = 0.161
Using the correlation Coefficient a calculator : the correlation Coefficient is - 0.6278, This shows that a negative relationship exists between both variables.
The intercept of the graph = 17.812
The slope of the relationship : -0.504
Jacob is training for a marathon. His plan is to run the same distance for 3 days a week, then increase that distance
by the same amount each week of training. During week 6, Jacob runs 14 miles per day, which is 1.5 miles more per
day than he ran during week 5. Which equation represents the daily running distance, in miles, as a function of time,
t, in weeks?
f(t) = 0.5t + 7
f(t) = 0.5t + 11
f(t) = 1.5t + 5
f(t) = 1.5t + 12.5
Answer:
f(t) = 1.5t + 5
Step-by-step explanation:
each week he will run an extra 1.5 miles and one the first week he started off running 5 miles. 1.5 is your slope and 5 is the y-intercept.
Answer:f(t) = 1.5t + 5
Step-by-step explanation:
Edg 2020
Each square in Figures D and E has a side length of 1 unit. Compare the area of the two figures. Which figure has more area? How much more? Explain or show your reasoning.
Option B has more, if you want to have mathematical work just set each of the square side lengths to 1. In the first figure, you have 4 units square for each square so 2 units sq on the first and 4 on the second. Then since the other shapes are half circles or 1/4 circles we can put them together to get full and partial circles. The first shape had 2 full circles and the second shape has 1.5. SO using 1 as the radius, you get 3.14 units sq per circle. Leaving you with (circles) 6.28 + (squares) 2 leaving you with 8.28 units sq for figure 1 and (circles) 4.71 + (squares) 4 leaving you with 8.71 for figure 2. This leaves you with a .43 difference. Hope this helps
Answer:
The areas of all 3 shaded regions are equal: about 30.96 square units (144 - 36π square units). The area of the entire square is 144 square units, because 12⋅12=144. The area of the 1 large circle is approximately 113.04 square units, because 3.14⋅62=113.04. The area of the 4 medium circles is also 113.04 square units, because 3.14⋅32=28.26, and 28.26⋅4=113.04. The area of the 9 small circles is also 113.04 square units, because 3.14⋅22=12.56, and 12.56⋅9=113.04.
Step-by-step explanation:
3252614683754629158741032465x93756356872264881+432757232878247-3243566=
Answer:
bout 7
Step-by-step explanation:
Answer:3.049533e+44 to be exact
Step-by-step explanation:
if you rolled two dice, what is the probability that you would roll a sum of 2
Answer:
2.78%
Step-by-step explanation:
Theres only one number combination you could get for the sum of 2 ( 1 and 1) but there is 36 different outcomes on the 2 dice that you could get for all the numbers.
1/36=.02777.. =.0278 but since its a percentage you move it over 2x to the right from the decimal point which would give you 2.78%
Kevin's wife sends him to the store to buy pickles and ice cream. Ice cream cost 5 dollars per pound and pickles costs 8 dollars per pound. Kevin has 80 dollars in his wallet. Let x be the number of pounds of ice cream and y be the number of pounds of pickles that Kevin purchases. State the inequality that represents his budget, and graph the solution that represents the possible combinations of x and y . Express your answer with the standard form a x + b y on the left side. The budget inequality is _____________________
Answer:
5x+8y≤80
Step-by-step explanation:
trust me ;)
Answer:
5x+8y< 80
Step-by-step explanation:
The total amount should be less than 80 or equal to
65% of what is 39?
Answer:
The answer is 25.35
Step-by-step explanation:
Hope this helps:)
Answer:
60
Step-by-step explanation:
65 % of 60 = 39
In a certain school club, 40% of the members are boys. If there are 45 members in the club, how many of them are boys?
Answer:
18 of them are boys
Step-by-step explanation:
40% = 40/100 = 0.40
0.40 × 45 = 18
I don't understand with this question, can you help me with this pls?
Answer:
By moving the decimal at the end of the number to the correct amount of places for x 10 you move it once to the right for x 100 you move it right twice.
Step-by-step explanation:
Find the place value of the product 0.5 multiplied by 2.65
Answer: 1.325
Step-by-step explanation: I multiplied
2. The assessed value of the Oscar's house is $159,000. The
annual property tax is rate 4.23% of the assessed value.
What is the annual property tax on the Oscar's house?
Answer:
6725.70
Step-by-step explanation:
159000 * 0.0423 = 6725.70
What is the value to the expression -2.1(4.7+(-7.4))
f(x) =x^6-3x+9
g(x)=3x^3+2x^2-4x-9
Find (f-g)(x)
Step-by-step explanation:
(f-g)(x)=
[tex]x ^{2} - 3x + 9 - (3 {x}^{3} + 2 {x}^{2} - 4x - 9) = \\ x ^{2} - 3x + 9 - 3 {x}^{3} - 2 {x}^{2} + 4x + 9 = \\ - 3 {x}^{3} - x ^{2} + x + 18[/tex]
what is the least common denominator of 1/2, 2/3 and 3/8 A. 48 B. 24 C. 16 D. 12
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
HELP PLEASE!!! 50 PTS
Which polynomial can be factored using the binomial theorem?
64x3 + 48x2 + 36x + 27
64x3 + 96x2 + 72x + 27
256x4 – 192x3 + 144x2 – 108x + 81
256x4 – 768x3 + 864x2 – 432x + 81
Answer:
x2 + 40x + 400
256x4 – 256x3 + 96x2 – 16x + 1
256x4 – 192x3 + 144x2 – 108x + 81
Step-by-step explanation:
Hope this helps.
Have a good night ma´am/sir.
Be safe!
Answer:
C
Step-by-step explanation:
Ed2021
N+2=-14-n 46 POINTS WORK SHOWN
Answer:
woah that seems too complicated for my 9th grade brain
Step-by-step explanation:
n+2=−14−n
Move all terms containing n to the left side of the equation.
2n+2=−14
Move all terms not containing n to the right side of the equation.
2n=−16
Divide each term by 2 and simplify.
So the answer is: n=−8
Can someone help and explain? 4 + 5x - 1
Answer:
5x+3
Step-by-step explanation:
1. Subtract 1 from 4
4+5x-1
2. Solution
5x+3
5|7+4x|-7=48
Please help
Answer: 1.2
Step-by-step explanation:
first multiply 5 by 7 to get 35, and 5 by 4x to get 20x. Then add negative 7 to 35 and we have 28 subtract 28 from both sides getting 20x=20, so x is 1
a chemical change creates a new
Answer:
A new substance with new and different physical and chemical properties.
Step-by-step explanation:
Chemical reactions involve combining different substances. The chemical reaction produces a new substance with new and different physical and chemical properties. Matter is never destroyed or created in chemical reactions. The particles of one substance are rearranged to form a new substance.
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- 7/8 k = -21
Please show the steps... :(
Answer:
Your answer is: k = 24
Solve for k by simplifying both sides of the equation, then isolating the variable.
Step-by-step explanation:
Hope this helped : )
-7/8k = -21
Step 1: Multiply both sides by 8/(-7).
(8/-7) x -7/8k = -21 x (8/-7)
Answer= k = 24
Use a factor rainbow to determine if 729 is a perfect square. Explain your reasoning.
Answer:
729 is a perfect square
Step-by-step explanation:
because 27 * 27 = 729
solve for g when g=1/6(w+40)
9514 1404 393
Answer:
g = 1/6(w+40)
Step-by-step explanation:
The given equation is already solved for g. Nothing need be done.
g = 1/6(w+40)
In one particular suburb, there are 10 families that own a labrador. If there are a total of 20 families that own a dog in general, then what percentage of dog owners have a labrador?