Answer:
r = 1/π
Step-by-step explanation:
The area of a circle is given by ...
A = πr²
The rate of change of area is ...
A' = 2πr·r'
We want that rate of change to be twice as fast as the rate of change of radius:
2r' = 2πr·r'
1 = πr . . . . . . divide by 2r'
1/π = r
When the area is changing twice as fast as the radius, the radius is 1/π.
_____
Additional comment
The area and the radius have different units, so their rates of change must be compared numerically. The numerical value will depend on the units used. The radius for a circle whose area is measured in m² will be different than for one whose area is measured in ft².
Choose the angle which is represented by the name.
R
Answer:
Option B
Step-by-step explanation:
Angles can be named by only the middle point's name. Option B would be correct in this case, because the point in the center of the angle is point R.
Four times a number, decreased by 2, is 8 more than the product of six and the number.
Find the number.
Answer:
-5
Step-by-step explanation:
4x -2 = 8 + 6x
-2x = 10
x = -5
The standard configuration for a Colorado license plate is 3 letters followed by 3 digits. How many different license plates are possible if letters and digits can be repeated?
Answer:
17,576,000 different combinations possible.
Step-by-step explanation:
Consider the problem: A set of books that are each 1.5 inches wide are being organized on a bookshelf that is 36 inches wide. How many books can fit on the shelf?
a. Complete the multiplication equation and the division equation to represent the situation. Use a ? to represent the unknown in the equation. Write your answer as a decimal to the nearest tenth if necessary.
multiplication equation: ? • (
) =
division equation:
÷
= ?
b. How many books can fit on the shelf? Use a diagram, if needed.
books
According to the calculation, 24 books can fit on the shelf.
Given that a set of books that are each 1.5 inches wide are being organized on a bookshelf that is 36 inches wide, to determine how many books can fit on the shelf the following division must be performed:
36 / 1.5 = X 24 = XTherefore, 24 books can fit on the shelf.
Learn more about maths in https://brainly.com/question/25879518
Dolly is measuring the angles of a triangle. He measures the first two angles of a triangle and gets 30 and 100. How could he find the measure of the third angle?
Answer:
the third angle is 50 degress
Step-by-step explanation:
the angle sum property states that the sum of all the interior angles of a triangle is 180.
therefore : 30 + 100 + x = 180
x = 180 - 130
x = 50
The difference between a and 10 is less than 5
The value of X is units in length.
Answer:
x=17.5 we do that 5*3.5 =17.5
Help a sis out ??
Write a function rule for the area of a triangle whose height is 4 in, more than twice the length
of its base. What is the area of the triangle when the length of its base is 16 in.?
A. A = 262 + b
C. A = 262 + b
A = 144 in?
A = 528 in.
B. A = b2 + 2b
A = 288 in
D. A = 262 + 4b
A = 576 in
O
D
B.
C
SES
Answer:
B
Step-by-step explanation:
let base be b then height h = 2b + 4
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ) , then
A = [tex]\frac{1}{2}[/tex] b(2b + 4) ← distribute parenthesis
A = b² + 2b
When b = 16 , then
A = 16² + 2(16) = 256 + 32 = 288 in²
Fred makes $750 a week working 5 days .How much does he make in one day
Answer:
$150
Step-by-step explanation:
750/5 = 150
When the expression 3(n + 7) is evaluated for a given value of n, the result is 33. What is the value of n.
Answer:
i think n = 4
Step-by-step explanation:
3(n+7) = 33
3n+21 = 33
3n = 12
n = 4
Answer:
n=4
Step-by-step explanation:
3(n+7)=33
3n + 21=33
3n=33-21
3n=12
n=12÷3
n=4
PLEASE HELP ASAP TENTH GRADE GEOMETRY
Answer: SU = 4(1) + 1 = 5
Step-by-step explanation:
Since T is on segment SU we know the whole is eqaul to the sum of it’s parts.
ST + TU = SU substitute
3x - 1 + 3x = 4x + 1 simplify
6x - 1 = 4x + 1 solve for x
2x = 2
x = 1
ST = 3(1) -1 = 2
TU = 3(1) = 3
SU = 4(1) + 1 = 5
The children at Lincoln School go outside for recess if the temperature is 3°C or higher for what temperature will the students go outside? Write an inequality to represent this situation and then graph the solution
Answer:
it has to be 37.4 degrees or higher. An inequality would be X≥37.4
step-by-step explanation:
76 % of 150 calculate this
will mark brainly
Which statements describe the end behavior of f(x)?
Select two answers.
As x approaches ∞, y approaches −∞.As x approaches ∞, y approaches −∞.
As x approaches −2.5, y approaches ∞.As x approaches negative 2 point 5 textsf comma y approaches ∞.
As x approaches −∞, y approaches −2.5.As x approaches −∞, y approaches
As x approaches −2.5, y approaches −∞.As x approaches negative 2 point 5 textsf comma y approaches −∞.
As x approaches ∞, y approaches ∞.As x approaches ∞, y approaches ∞.
As x approaches ∞, y approaches −2.5.
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
x + 2y = -16
Answer:
y = -1/2x - 8
Step-by-step explanation:
You are looking for the equation in the form of y=mx + b, so you need y on the left hand side without x. Subtract x from both sides.
2y = -x - 16
Now you want 1y instead of 2y. So divide everything by 2.
y = -1/2x - 8
What is a ratio? Can you give a real world example of a ratio and the 3 different ways to write that ratio. pls i need alot of help my parents dont help me and i do online school WILL be marked as brainlyist
Answer:
2:3
2 to 3
or a fraction bar
Step-by-step explanation:
Answer:
In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3).
3 different ways you can write that ratio-
1) 4 to 3
2) 4:3
3) 4/3 (fraction)
Step-by-step explanation:
hope this helped:)
HELP PLEASE!!
1. Olivia sold water bottles over four days. Create a graph to determine if
the quantities of bottles and number of days are proportional If the
quantities are proportional, what is the constant of proportionality?Olivia sold water bottles over four days. Create a graph to determine if
the quantities of bottles and number of days are proportional If the
quantities are proportional, what is the constant of proportionality?
Answer:
68 got it right on the test!!!
Step-by-step explanation:
0 6. What is the constant of proportionality for the set of data in the table? 10 8 2 Hours 70 56 42 14 Miles 48
Answer:
k = 7
Step-by-step explanation:
The constant of proportionality k is calculated as
k = [tex]\frac{miles}{hours}[/tex]
Using the values from the table , then
k = [tex]\frac{14}{2}[/tex] = [tex]\frac{42}{6}[/tex] = [tex]\frac{56}{8}[/tex] = [tex]\frac{70}{10}[/tex] = 7
To make cherry trail mix, Sebastián needs 4 oz of nuts for every 3 oz of dried
cherries. To make sunflower trail mix, he needs 5 oz of nuts for every 2 oz of
sunflower seeds. Can Sebastián make more cherry trail mix or sunflower trail mix
with 20 oz of nuts? Show your work.
The number of servings that can be obtained from the 20 oz of nuts is given by the number of 4s and 5s in 20.
Sebastian can make more cherry trail mixReasons:
The given recipe are;
1 cherry trail mix = 4 oz. of nuts + 3 oz. of dried cherries.
1 sunflower trail mix = 5 oz. of nuts + 2 oz. of sunflower seeds
The number of cherry trail mix Sebastian can make with 20 oz. of nuts is therefore;
[tex]\displaystyle Number \ of \ cherry \ trail \ mix = \mathbf{ \frac{20 \ oz \ of \, nuts}{4 \ oz \, of \, nuts \, per \, cherry \ trail \, mix }} = 5 \ cherry \ trail \ mix[/tex]
The number of cherry trail mix that can be made with 20 oz. of nuts = 5 cherry trail mixes
[tex]\displaystyle Number \ of \ sunflower \ trail \ mix =\mathbf{ \frac{20 \ oz \ of \, nuts}{5 \ oz \, of \, nuts \, per \, sunflower\ trail \, mix }}[/tex]
[tex]\displaystyle \frac{20 \ oz \ of \, nuts}{5 \ oz \, of \, nuts \, per \, sunflower\ trail \, mix } = \mathbf{4 \ sunflower \ trail \ mix}[/tex]
The number of sunflower trail mix that can be made with 20 oz. of nuts = 4 sunflower trail mix
Therefore;
Sebastian can make more cherry trail mix than sunflower trail mix with 20 oz. of nuts.
Learn more about division of numbers in arithmetic here:
https://brainly.com/question/917110
David is deciding between two parking garages. Garage A charges an initial fee of $7 to park plus $3 per hour. Garage B charges an initial fee of $4 to park plus $4 per hour. Let A represent the amount Garage A would charge if David parks for t hours, and let B represent the amount Garage B would charge if David parks for hours . Write an equation for each situation , in terms of t, and determine which garage would be cheaper if David needs to park for 2 hours .
Answer:
Step-by-step explanation:
Garage A = 7+3t
Garage B = 4+4t
Garage A = 7+6
Garage B = 4+8
B = Cheaper
Answer:
A = 3t + 7, B = 4t + 4, B is cheaper
Step-by-step explanation:
A = 3(2) + 7 = 6 + 7 = 13
B = 4(2) + 4 = 8 + 4 = 12
Find the unknown side (w) of the rectangular solid. Please help..
Answer:
Step-by-step explanation:
MAy yoy make it bigger
can someone help me for this?
Answer:
500000N=2m
x. =6m
cross multiply, it'll be
6×50000÷2
=150,000N
Is 30 squared, 10 squared, 50 squared, 30 squared, or 60squared closest to 5?
Answer:
if you are dividing by 2 then 10 is closer but if you multiplying .. 10 is still closer
HELP URGENT!!! RESPOND QUICKLY!!!
Answer:
i think x = 7 y = 11
Step-by-step explanation:
have a nice dae
A light post 5 1/5 metres long was set 1 1/2 metres into the ground. What was the length of the post above the ground? Write your answer in its simplest form *
Answer:
3.7 meters
Step-by-step explanation:
First, convert the fractions into decimals.
5 1/5 = 5.2
1 1/2 = 1.5
Then subtract them
5.2-1.5=3.7 meters!
There are 20 marbles in a bag. 1/5 are red and others are blue. What is the ratio of red to blue marbles
Answer:
4:16 or 1:4
Step-by-step explanation:
1/5 of 20 = 4
there are 4 red marbles
there are 16 blue marbles
4:16 or 1:4
Answer:
1/5 to 4/5
Step-by-step explanation:
I took this quiz befrore and got a 100
The charge on an ion is
a.
always positive.
b.
always negative.
C.
either positive or negative.
Answer:
C. Either positive or negative
Richard wants to paint the top and sides of the block column. What is the surface area he needs to cover?
592 sq. ft
512 sq. ft
960 sq. ft
800 sq. ft
What is the result of subtracting 4x^2 + 3xy +2y^2 from 5x^2 + 3xy + 6y^2?
x^2 + 6xy + 8y2
4x^2 + 3xy + 2y^2 - 5x^2 + 2xy + 6y^2
= 4x^2 + 3xy + 2y^2 + -5x^2 + 3xy + 6y^2
Combine like terms:
= 4x^2 + 3xy + 2y^2 + -5x^2 + 3xy + 6y^2
= (4x^2 + -5x^2) + (3xy + 3xy) + (2y^2 + 6y^2)
= -x^2 + 6xy + 8y^2
A teacher asked her students to divide a large number by 50.
• Aslan divided the number by 50.
• Lucy divided the number by 5 and then divided the answer she got by 10.
• Jack divided the number by 10 and then divided the answer he got by 40.
Who among these got the correct answer assuming they did NOT make mistakes in division?
Answer:
Step-by-step explanation:
Another way to do it is to multiply by 100 and divide by 2. That's probably the simplest way to do it.
Aslan of course would get the right answer. It's direct and it does give the right answer.
Lucy also did it correctly.
Jack is the only one who will not get it right.