A tree measured 12 1/2
feet tall. Over the next 5 1/2
years it grew to be 51 feet tall.
During the 5 1/2
years, what was the average yearly growth rate of the tree?
Answer:4.08 ft a year or 1 and 5/8 feet a year (approx)
Step-by-step explanation:
It's 12.5 feet the first year
51 feet 5 years later
If you do the math and divide 51 by 12.5, you get 4.08 which is around 1 and 5/8 ft
12.5x4.08 is 51 feet.
So the tree grows approximately 1 and 5/8 feet a year
A spherical balloon is inflating with helium at a rate of 64π ft/min. How fast is the balloon's radius increasing at the instant the radius is 2 ft? How fast is the surface area increasing?
The balloon's radius is increasing at a rate of...
Answer:
let r ,v be the radius and volume of sphere.
dv/dt=64πft³/min
r=2ft
Dr/dt=?
Step-by-step explanation:
we have
volume of sphere=4/3πr²
v=4/3πr²
differentiating both side with respect to t we get
dv/dt=4πdr²/dr×dr/dt=4π×2r×dr/dt=8/3×πr×dr/dt
substituting the given value we get
dv/dt=8/3×πr×dr/DT
64π×3/(8π×2)=dr/dt
Dr/dt=12ft/min
The balloon's radius is increasing at a rate of12 ft/min
The balloon's radius increasing at the instant the radius is 2 ft will be 10106.47 ft³ per minute.
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
A spherical balloon is inflating with helium at a rate of 64π ft/min.
dr/dt = 64π ft/min
Then the balloon's radius increasing at the instant the radius is 2 ft will be
V = (4/3)πr³
Differentiate with respect to time. Then we have
[tex]\rm V' = \dfrac{dV}{dt} \\\\ V' = \dfrac{4}{3}\cdot \pi 3r^2 \cdot \dfrac{dr}{dt}[/tex]
Simplify the equation, then we have
V' = 4πr² × 64π
V' = 4π × (2)² × 64π
V' = 10106.47 ft³ per minute
The balloon's radius increasing at the instant the radius is 2 ft will be 10106.47 ft³ per minute.
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If the function 5x + y = 1 has the domain {-2, 1, 6}, then what is the corresponding range?
A.
{-9, 6, 31}
B.
{9, -6, -31}
C.
{-11, 4, 29}
D.
{11, -4, -29}
Answer:
C. ????
Step-by-step explanation:
Answer: c
Step-by-step explanation:
What is the approximate volume of the cylinder?
Answer:
V ≈ 509 m3 ← This is an approximate answer, rounded to the nearest whole. To calculate the volume of a cylinder, multiply the area of the base (Πr2) times the height (h). This gives the formula V = Πr2h.
MARKING BRAINLIEST PLS HELP WITH MATHS PLS SEE QUESTION 1
Answer:
day 2) 100
day 3) 140
day 4) 180
day 5) 220
day 7) 300
Step-by-step explanation:
the equation would be y= 40x + 20 since 20 is the starting price and everyday you add 40 dollars. put in what day it is as X to get the answer
Find the value of x.
3x + 1
12.5
15
The value of x is 3.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
As, we know that The median (also called a midline or midsegment) is a line segment half-way between the two bases.
median = (a+ b ) / 2
So, 12.5 = (3x+1 + 15) / 2
12.5 = 3x + 16 / 2
25 = 3x + 16
3x = 9
x= 3
Hence, the value of x is 3.
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plz help Consider the figure below.
Simplify answers!
Answer:
Sin Z = 40/85
Tan G = 75/40
Cos Z = 75/85
Sin M = 1
Step-by-step explanation:
a certain bacteria populations doubles in size everyday. Suppose a sample starts with 500 bacteria. write an expression that models the number of bacteria in the same sample after x days. Evaluate the expression for x=0,2,and 5
Answer:
16,000
Step-by-step explanation:
16,000 - answer
AQRS is similar to ALKJ. What is the similarity ratio?
9
D
S
12
15
10
6
37°
к
37°
8
-L
O a
6/5
Oh
978
Answer:
Step-by-step explanation:
a cars value starts at $32,000. After 1 year, it is worth $27,200. What is the decay factor?
Answer:
15% × 7 = 1.05
32,000 - 1.05 = 31,998.95
31,998.95 ‐‐‐‐‐> 31,999
$31,999
(If you don't need to simplify, the answer would be $31,998.95, but I did it just incase you do)
Step-by-step explanation:
The width of a rectangle is 2 inches smaller than its length. The perimeter is 24 inches. Find the length and width of the rectangle.
Answer:
7 inches and 5 inches
Step-by-step explanation:
The length the length and width of the rectangle be l and b.
Accodrding to question,
Width, b = l-2
Perimeter, P = 24 inches
We know that,
The perimeter of a rectangle is given by :
P = 2(l+b)
24 = 2(l+l-2)
12 = 2l-2
14=2l
l = 7 inches
Width, b = 7-2 = 5 inches
Hence, the length and width of the rectangle are 7 inches and 5 inches respectively.
Alice and Becky live on Parkway East, at the intersections of Owens Bridge and Bay Bridge, respectively. Carl and
David live on Parkway West, at the intersections of Bay Bridge and Owens Bridge, respectively. Parkway East is a one-
way street running east. Parkway West is one way running west. Both bridges are two way.
CAN SOMEONE HELP ME PLEASE I GIVE POINTS
Answer:
Step-by-step explanation:
Select all of the equations that have x = 7 as a solution.
x 3= 28
8.x = 56
3+x= 12
x +4= 11.
Pls hurry
Answer:
B
D
Step-by-step explanation:
Solve each equation. Show your work, or explain your reasoning.
-3x + 5 = 16
Find the volume of each cylinder. (use nr = 3.14)
Answer:
54286.72cm
Step-by-step explanation:
you divide 48 by 2 because your radius is half of your diameter which equals 24 and from there you plug in the information into you formula
The first snack is 270 calories for 3 servings, and the second snack is 450 calories How many servings does the snack have to have in order to equivalent to the first snack?
Answer:
5 servings
Step-by-step explanation:
Given that:
For a particular first snack to be = 270 calories;
the servings = 3
Then, for the second snack, the calories = 450.
To estimate the servings for the second snack; we need to equate the first snack with the second snack.
Let y be the value of the unknown second snack
Then:
270 calories = 3 servings
450 calories = y servings
y servings = (450 calories × 3 servings) / 270 calories
y servings = 5 servings
Thus; the second snack needs to have 5 servings in order to be equivalent to the first snack
The History Club is making T-shirts to sell for a fundraiser, at a price of $10 apiece. The costs, meanwhile, are $9 per shirt, plus a setup fee of $100. Selling a certain number of shirts will allow the History Club to cover their costs. How many shirts must be sold?
Answer:
fshdmso hdkdndjsj held by sks
(2x^5 + 3y^4) * (-4x^2 + 9y^4)
Answer:
are we supposed to solve this???
Answer:
18x^5y^4+27y^8−8x^7−12x^2y^4
Step-by-step explanation:
(2x^5+3y^4)(−4x^2+9y^4)
=(2x^5+3y^4)(−4x^2+9y^4)
=(2x^5)(−4x^2)+(2x^5)(9y^4)+(3y^4)(−4x^2)+(3y^4)(9y^4)
=−8x^7+18x^5y^4−12x^2y^4+27y^8
=18x^5y^4+27y^8−8x^7−12x^2y^4
Please help on this question
9514 1404 393
Answer:
12x +12y = 7
Step-by-step explanation:
The 2-point form of the equation for a line is useful.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (1/3 -1/4)/(1/4 -1/3)(x -1/3) +1/4
y = (1/12)/(-1/12)(x -1/3) +1/4)
y = -x +1/3 +1/4
Add x and multiply by 12.
x +y = 1/3 +1/4
12x +12y = 4 +3
12x +12y = 7
Alan's Auto Wash had revenues of $18 from 3 customers. In all, how many customers does Alan's
Auto Wash need to serve in order to have a total of $42 in revenue? Assume the relationship is
directly proportional.
Answer:
7 customers
Step-by-step explanation:
Alan's Auto Wash
18/3=6
42/6=7
The answer is 7 because it is 6 dollars for one car wash.
Answer:
7 customers
Step-by-step explanation:
please let me know if you would like an explanation.
what is the value of y?
For the given triangle the measure of the angle y is 65°.
Hence the correct option is C.
The angles that are created outside of a triangle are its external angles.
In other terms, the angle created between one of a triangle's sides and its neighboring extended side is the triangle's exterior angle.
And the exterior angle of a triangle is the sum of the interior angles of opposite sides.
The given angles are:
Exterior angle = 130°
Interior angles are y° and y°
Therefore,
Exterior angle = y° + y°
130° = y° + y°
2y° = 130
Dividing both sides by 2 we get,
y° = 65°
Hence,
The measure of the angle y is 65°.
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NEED HELP ASAP!!!
Use Pythagorean Theorem to solve. Round to the nearest tenth
Х
4m
5m
Answer:
[tex] \boxed{x = 3}[/tex]
Step-by-step explanation:
[tex] {5}^{2} = {4}^{2} + {x}^{2} \\ {x}^{2} = {5}^{2} - {4}^{2} \\ {x}^{2} = 9 \\ x = \sqrt{9} \\ x = 3[/tex]
Help me please! Thank you =D
Answer:
2A=A+A
Step-by-step explanation:
2A=A*A, not A+A
Jackie's Diner sold 15 milkshakes last week. 12 of the milkshakes had whipped cream on top. What percentage of the milkshakes had whipped cream?
Answer:
80%
Step-by-step explanation:
it is just trust me i got it wrong on ixl because i followed an dummy that did it wrong.
How many solutions does this system have?
3
y = x-5
-3x+4y=-20
Answer:
x=0 and y=-5
Step-by-step explanation:
hope this helps!
Does anyone know the answer to this? If you do please answer!
Answer:
The Y axes
Step-by-step explanation:
given f(x) = 2x - 3, find f(½)
Functions f (solid) and g (dashed) are graphed. What is the equation of g in terms of f?
HELP ME PLEASE I NEED HELP
Answer:
-f(-x)
Step-by-step explanation:
We need to reflect this across both the x and y axis
which means that we need it to look kind of like this -f(-x)
Asap I say I say ASAP
Answer:
its easy
Step-by-step explanation:
asap i say i say asap say pls next time
Answer:
tuff question
Step-by-step explanation: