A forest fire leaves behind an area of grass burned in an expanding circular pattern. If the radius of the circle of burning grass is increasing with time according
to the formula r(t) = 5t + 2, express the area A burned as a function of time, t (minutes).
Answers
The area A burned as a function of time, t is
A(t)=78.5t²+62.8t+12.56
What is Radius of the circle?A circle's or sphere's radius is any of the line segments that connect the object's center to its perimeter; in more recent usage, it is also their length.
According to the given values ;
r(t)=5t+2
.°. A(t)=πr²=π*(5t+2)²
=π(25t²+20t+4)
= 78.5t²+62.8t+12.56
hence ,the area A burned as a function of time, t is
A(t)=78.5t²+62.8t+12.56
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Related Questions
F(x) = x^2+3; g(x) = square root of x-2 find f(g(x))
Answers
solve for x 9x + 1 equals 25 + x edg 2020?
x=2
x=3
x=4
x=5
Answers
What is a pendulum?
Answers
Answer:
A pendulum is a weight suspended from a pivot so that it can swing freely. When a pendulum is displaced sideways from its resting, equilibrium position, it is subject to a restoring force due to gravity that will accelerate it back toward the equilibrium position
EXAMPLES:
the tick in a grandfather clock, a wrecking ball suspended by a chain or link
Step-by-step explanation:
hope this helps! please mark brainliest:)
A pendulum is a simple device consisting of a weight suspended from a fixed point, allowing it to swing back and forth under the force of gravity
Pendulum: A pendulum is a simple device consisting of a weight suspended from a fixed point, allowing it to swing back and forth under the force of gravity. The bob is typically attached to a string, rod, or wire that allows for free movement.
When a pendulum is set in motion, it swings back and forth in a regular and repetitive pattern.
The motion of a pendulum is governed by several factors, including the length of the pendulum, the mass of the bob, and the gravitational acceleration.
The swinging motion of a pendulum is influenced by two fundamental principles:
1. Period: The period of a pendulum is the time it takes for the pendulum to complete one full swing from one side to the other and back. The period depends on the length of the pendulum and is not affected by the mass of the bob. A longer pendulum will have a longer period, while a shorter pendulum will have a shorter period.
2. Oscillation: The pendulum oscillates due to the force of gravity acting on the bob. As the pendulum swings to one side, it gains potential energy, which is then converted into kinetic energy as it swings back. This energy transfer causes the pendulum to continue swinging back and forth.
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Anyone wanna help me do this because I’m not understanding how this works
Answers
Answer:
its b .
Step-by-step explanation:
A rectangle with a width of 2.5 cm and a length of 3 cm is dlated by a scale factor of 4. Which statements about the new
rectangle are true? Check all that apply.
Answers
Answer:
Step-by-step explanation:
1 - 3 - 6 - 7
The value of y is directly proportional to the value of x. If y = 35 when X = 140, what is the
value of y whenx=70?
Answers
Answer:
17.5
Step-by-step explanation:
soln:
given,
since, x and y are directly proportional
and x=140, y=35
dividing x by y we get,
x/y=140/35
or,x/y=4/1
or,x=4y
when x=70,
x=4y
or,70=4y
•°•y=17.5
How many portions of 8 ¾ ounces each can be made from a boneless roast weighing 28 pounds?
Answers
Number of portions of 8 ¾ ounces each can be made from a boneless roast weighing 28 pounds is 51 7/35.
Here,
A boneless roast weighing = 28 pounds
Each portion = 8 3/4 ounces
We have to find the number of portion.
What is Division method?
Division method is used to distributing a group of things into equal parts.
Now,
Since, 1 pound = 16 ounces
Hence, 28 pound = 28 x 16 = 448
So, Number of portions = 448 ÷ 8 ¾ = 448 ÷ 35/4 = 51 7/35
Therefore, Number of portions of 8 ¾ ounces each can be made from a boneless roast weighing 28 pounds is 51 7/35.
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If you take a number, times by 5 then subtract 9. You get the same as if you took the number, times by 4 then add 1. What is the number?
Answers
Answer: 7
Step-by-step explanation:
Answer:
Let number be x
5x + 9= 4x + 1
5x - 4x = - 9 + 1
x = - 8
what is the equation for the image graph
reflect f(x) = x² +1 over y axis
Answers
Answer:
= 25
Step-by-step explanation:
solve the equation and answer it
What is a correct first step in solving the inequality -4(3-5x)>-6x+9?
Answers
Answer:
you would distribute the -4 into the parenthesis and the answer would be option D
Step-by-step explanation:
On a coordinate plane, a point is 7 units up on the y-axis. Which of the statements are true? On a coordinate plane, a point is 7 units up on the y-axis.
Which of the statements are true? Select all that apply.
The point is located at (7, 0).
The point is located at (0, 7).
The point is on the y-axis.
The point is on the x-axis.
The point is at the origin.
Answers
Answer:
The second one
The third one
Step-by-step explanation:
Answer:
the point is located at 7,0. the point is on the y-axis.
Step-by-step explanation:
What is the quotient?
Answers
Answer:
just post them all in one question instead of a ton of different questions. it's annoying.
Step-by-step explanation:
p=a+b+c solve for a
please help
Answers
Answer:
a=p-b-c
Step-by-step explanation:
p=a+b+c
a=p-b-c
Bella has $1,200 in her bank account. She wrote a check to pay her rent for $975.25. Then, she deposits $105 into the account. What is the balance of her account?
Answers
Answer:
The balance in her account is $329.75
PLEASE HELP i'll give brinlist to the first person that is right
Answers
56 divided by 9,072 long form
Answers
Answer:
0.0061728395
Step-by-step explanation:
BOOM
Janine has $45. She plans to spend $70. Her father gives her $10. How much money does she need to borrow from her sister?
Answers
Answer:
i think -15 would be ur answer
Step-by-step explanation:
subtract 70 and 55 and u should get -15 if its right
Square number (2x+5y)(3x^2-4xy+2y^2)
Answers
Answer: 6x³+7x²y-16xy²+10y³
Step-by-step explanation:
( 2x + 5y )( 3x² - 4xy + 2y²)
⇒ (2x * 3x² ) = 6x³
⇒ (2x * - 4xy) = -8x²y
⇒ (2x * 2y² ) = 4xy²
⇒ (5y * 3x² ) = 15x²y
⇒ (5y * - 4xy) = -20xy²
⇒ (5y * 2y² ) = 10y³
( 2x + 5y )( 3x² - 4xy + 2y²) = 6x³-8x²y+4xy²+15x²y-20xy²+10y³
= 6x³+7x²y-16xy²+10y³
Use the area of the rectangle to find the area of the triangle.
15 ft
8 ft
please help me
Answers
Answer:
c
Step-by-step explanation:
area of triangle=1/2 area of rectangle
where l=base
w=height of triangle.
Acone with diameter 4 cm and a height of 8 cm. What is the volume of the figure? Round your answers to the nearest tenth,
if necessary.
a
18.1cm3
b
33.5cm3
с
44.5cm
d
30.2cm
Answers
Answer:
B. 33.5 cm³Step-by-step explanation:
d = 4 cm ⇒ r = 2 cm
so:
[tex]V=\frac13\pi r^2\cdot H=\frac13\pi\cdot 2^2\cdot8\approx\frac13\cdot3.1415926...\cdot32=33.51032...\approx33.5\ cm^3[/tex]
Reggie is deciding when to go bowling with his friends. Friday night is glow-bowling night, with 5 glow-bowling games for $22.50. But the early-bird special on Saturday morning offers 8 games for $30. How much more does glow-bowling cost per game?
How much does it cost per game?
Answers
Step by step explanation:
how do i evaluate l18l
Answers
Answer:
18
Step-by-step explanation:
It is asking for the absolute value of 18. The absolute value is the units away from 0 the number is, so the answer is 18.
Answer: the answer is 1^19 (one to the power of 19)
Step-by-step explanation:
l^18 multiplied by l^1 = l^(18 + 1) = l^19
(1 to the power of 18 multiplied by 1 to the power of 1 equals 1 to the power of (18 + 1) equals 1 to the power of 19)
athletic shoes: $79.99
discount: 40%
Answers
Answer:
48$ -specific (not rounded)
Step-by-step explanation:
There could be other solutions that can work. Such as counting the 79.99 to just 80. But for the very SPECIFIC value, you have to find 40% of 79.99 by multiplying it by .4 . 79.99*.4 = 31.99. After that, you would subtract 79.99 and 31.99 which would get you to 48.
Answer:
$47.99
Step-by-step explanation:
79.99*40/100
79.99*0.4
40% of $79.99 = $32.00 ( rounded )
79.99 - 32 = $47.99
For dinner, jerry had a double cheeseburger and one order of medium fries totalalling 1200 calories. Joe has two double cheeseburgers and one medium fry totalling 1260 calories. How many callories are in one cheeseburger and medium frys
Answers
Answer: See explanation
Step-by-step explanation:
Let the number of callories that are in one cheeseburger be = x
Let the number of calories that are in one medium frys be = y
Therefore, the question can be formed into an expression as:
Jerry = 1x + 1y = 1200
Joe = 2x + 1y = 1260
x + y = 1200 ....... i
2x + y = 1260 ....... ok
Subtract equation i from ii
x = 60
Therefore, number of callories that are in one cheeseburger is 60 calories
Since x + y = 1200
60 + y = 1200
y = 1200 - 60
y = 1140 calories
The number of calories that are in one medium frys is 1140 calories
Isaac buys eggs and apples at the store. .He pays a total of $24.26. • He pays a total of $4.36 for the eggs. • He buys 5 bags of apples that each cost the same amount. Write and solve an equation which can be used to determine x, how much each bag of apples costs. Equation: Answer: x = Submit Answer
Answers
The equation that represents the cost of each bag of apples is 5x + 4.36 = 24.26 and the cost is $3.98.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Isaac buys eggs and apples at the store. He pays a total of $24.26. He pays a total of $4.36 for the eggs. He buys 5 bags of apples that each cost the same amount.
Let x be the cost of each bag of apples. Then the equation is given as,
5x + 4.36 = 24.26
Simplify the equation, then we have
5x = 24.26 - 4.36
5x = 19.90
x = 19.90 / 5
x = $3.98
The equation that represents the cost of each bag of apples is 5x + 4.36 = 24.26 and the cost is $3.98.
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for f(x) = 1/3x +5
f(3) =
Answers
Answer:
f(3) = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 1/3x + 5
f(3) is x = 3
Step 2: Evaluate
Substitute: f(3) = 1/3(3) + 5Multiply: f(3) = 1 + 5Add: f(3) = 6The equation x+3y=2 can be rewritten in the equivalent form y=___x+____ which revels a slope equals to ___
-3,-2,-1,-2/3,-1/3,1/3,2/3,1,2,3
Answers
Hello!
[tex]\large\boxed{Slope = -\frac{1}{3}}[/tex]
x + 3y = 2
Rewritten into slope form: y = mx + b
Find the slope when rewritten:
Move x to the right hand side of the equation. (Subtract)
x - x + 3y = 2 - x
3y = 2 - x
Divide both sides by 3:
y = 2/3 - 1/3x
Rearrange:
y = -1/3x + 2/3.
The slope is equivalent to -1/3.
Help pls . Math people
Answers
3(121) -5
363-5
358
[tex]f(x)=3x^2-5[/tex]
Substitute x = -11 in the equation.
[tex]f(-11)=3(-11)^2-5\\f(-11)=3(121)-5\\f(-11)=363-5\\f(-11)=358[/tex]
Thus, the answer is 358 aka the second choice.
My assigned ratio is: 2:5 Give Two examples of ratios that are equivalent to my ratio:
Answers
Answer:
4:10 and 6:15 are equivalent to 2:5
Andrea and Peter are riding their bicycles in the same direction on the same path. Andrea started 6 miles ahead of Peter and is traveling at a rate of 12 miles per hour. Peter is traveling at a rate of 14 miles per hour. After how many hours will Peter catch up to Andrea? Write and solve an equation to model the problem. Explain the meaning of the solution.
Answers
Answer:
3 hours
Step-by-step explanation:
Step one:
given
Andrea started 6 miles ahead of Peter and is traveling at a rate of 12 miles per hour.
let the number of hours be x
and the total distance traveled be y
y=6+12x------------1
the initial distance is 6 miles
the distance traveled after x hours = 12x
Peter is traveling at a rate of 14 miles per hour.
y=14x------------2
the initial distance is 0 miles
the distance traveled after x hours = 14x
Step two:
let us equate the two expressions above
6+12x=14x
14x-12x=6
2x=6
divide both sides by 2
x=6/2
x= 3 hours
it will take 3 hours for both of them to cover the same distance