The formula for the circumference of a circle is: c = 2πr Solve for the radius, r, by dividing both sides by 2π. What is the formula for the radius of a circle in terms of the circumference? r = 2 pi c r = StartFraction c Over 2 pi EndFraction r = StartFraction pi Over 2 c EndFraction r = StartFraction 2 pi Over c EndFraction
Answers
Answer:
B/ r = c divided by 2 pi
Step-by-step explanation:
The formula for radius would be C / 2π
what is Circumference of circle?The circumference of a circle is defined as the linear distance around it.
C=2πr
Given:
c = 2πr
To find the expression for radius we have to follow the steps
c = 2πr
r= c/2π
Hence, the expression for radius is c/2π
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Related Questions
If y varies inversely as X and y=16 when X=4,find y when X=32
Answers
\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=16 \end{cases} \\\\\\ 16=\cfrac{k}{4}\implies 64 = k\hspace{9em}\boxed{y=\cfrac{64}{x}} \\\\\\ \textit{when x = 32, what's "y"?}\qquad y=\cfrac{64}{32}\implies y=2\)
2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answers
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
Please help tell me what i put on estimate and product
Answers
Answer:
You should have it right I checked the math the product is right and the estimate would mate sense so that should be right
Step-by-step explanation:
Answer:
Estimate: 4200
Product: 3828
Step-by-step explanation:
An estimate would be an approximate solution and the product is the actual solution. To estimate I rounded the 2 numbers (66 and 58) to numbers that are easier to work with, like 70 and 60, and multiplied those in my head, resulting in 4200. That is my estimate. For the actual product I just imputed 66 and 58 in my calculator which gave e 3828.
100 PTS AND BRAINLIEST WRONG ANSWERS REPORTED
The function p(w)=230(1.1)^W represents the number of specialty items produced at the old factory w
weeks after a change in management. The graph represents the number of specialty items produced at the
new factory during the same time period.
(a) During Week 0, how many more specialty items were produced at the old factory than at the new
factory? Explain.
(b) Find and compare the growth rates in the weekly number of specialty items produced at each factory.
Show your work.
Answers
Answer:
40; 0.1 and 0.16
Step-by-step explanation:
a. We know that p(w)=230(1.1)^W represents the number of specialty items produced at the old factory.
This equation is in the form of an exponential growth function:
f(x)=a(1+r)^x
where a is the initial value, r is the growth rate, and x is the number of time intervals.
That means that for p(w)=230(1.1)^W:
230 is the initial value, and 0.1 is the growth rate. (1.1-1)
Therefore, for week 0, there were 230 specialty items produced at the old factory.
We can also plug in 0 for w (0 time intervals) to get the same answer
That would look like:
p(0)=230(1.1)^0
p(0)=230(1)
p(0)=230
On the other hand, for the new factory, if you go find 0 on the x-axis, you'll notice that 190 specialty items were produced in week 0.
230-190=40
This means that our answer for a is that 40 more specialty items were produced at the old factory than the new factory.
_____
b. Our first step for this question would be to find the equation for the graph.
We can immediately recognize that this is an exponential growth function, similar to the other equation.
As a reminder, exponential growth functions are in the form: f(x)=a(1+r)^x
We can put it in terms of production and weeks:
p(w)=a(1+r)^w
We know that the initial value is 190 by the graph.
p(w)=190(1+r)^w
Now we just need to find the growth rate:
We can do this by choosing a value (other than the first point) and plugging it in. Let's use (1, 220) which is in the form (w, p)
Plug it in to the equation:
220=190(1+r)^1
220=190(1+r)
Distribute
220=190+190r
Subtract 190 from both sides
30=190r
Divide 190 from both sides
r=0.1578947368 (round how your teacher asks)
Next, all we have to do is find the growth rate for the old factory:
p(w)=230(1.1)^W
1.1=1+r
Therefore, r=0.1
The growth rate at the old factory is 0.1.
When comparing them, we'll realize that the growth rate at the new factory is about 0.06 higher.
#1
For old factory
p(w)=230(1.1)^wSo
week =0\(\\ \rm\dashrightarrow p(0)=230(1.1)^0=230(1)=230\)
For nEW factory
On graph y intercept is 190Difference:-
230-190=4040 items were more produced
#2
For old factory
Turn it to p(1+r)^t form where r is rate of change\(\\ \rm\dashrightarrow 230(1+0.1)^t\)
Growth rate is 0.1For new factory
(0,190)(1,220)Find slope:-
\(\\ \rm\dashrightarrow m=\dfrac{220-190}{1}=30\)
Find growth rate
m/b(b is y intercept)30/1903/190.16New factory has greater growth rate
Which symbol correctly compares these fractions?
−35□−23
=
<
>
Answers
-35 is < -23.
-35 is less than -23.
-23 is closer to 0 on the number line with 12 steps than -35.
What would the height need to be for this curve to be a density curve?
1/5
1/4
1/2
1
Answers
For a curve to be a density curve, it must meet certain conditions such as it should be non-negative, and the area under the curve should equal 1. Furthermore, the curve should be continuous and smooth, and there should be no values outside the range of the data.
Let's see how the height would need to be for this curve to be a density curve.A density curve is a statistical representation of the distribution of a dataset or population. Density curves are used to describe the distribution of continuous data and provide a visual representation of the likelihood of an event occurring within a specific range of values. It helps to determine the proportion of data that falls within a given range of values. A density curve is used to provide a graphical representation of data without showing the individual data points.To be a density curve, a curve must have the following properties:The curve should be non-negative.The area under the curve should be equal to 1.The curve should be smooth and continuous.There should be no values outside the range of the data.From the above properties, we can conclude that the height required for a curve to be a density curve depends on the data that the curve represents. As long as the curve meets the above conditions, it can be considered a density curve. So, there is no specific height required for a curve to be a density curve. The height of the curve can vary depending on the range of the data and the distribution of the data.For such more question on properties
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Select the equivalent expression. (INTEGER EXPONENTS.)
Answers
Answer:
\( {3}^{16} . {7}^{ - 6} \)
Step-by-step explanation:
\(( {3}^{ - 8} . {7}^{3} )^{ - 2} \\ \\ = {3}^{ - 8( - 2)} . {7}^{3( - 2)} \\ \\ \huge = {3}^{16} . {7}^{ - 6} \)
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Fill in the banks if you had this question before!!
Answers
An equation for the total cars and trucks for dealership A is: x + y = 164.
An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.
The number of cars that dealership A sold is: 98 cars.
The number of trucks that dealership B sold is: 66 trucks.
How to write a system of equations to model this situation?In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:
Let the variable x represent the number of cars sold.Let the variable y represent the number of trucks sold.Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;
x + y = 164.
Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;
2x + 0.5y = 229.
By solving the systems of linear equations simultaneously, we have:
2x + 0.5(164 - x) = 229
1.5x + 82 = 229
x = 98 cars.
For the y-value, we have;
2(98) + 0.5y = 229
0.5y = 229 - 196
y = 33/0.5
y = 66 trucks.
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Two trains leave stations 306 miles apart at the same time and travel toward each other. One train travels at 75 miles per hour while the other travels at 95 miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.
Answers
Answer:
what are the answer choices
Step-by-step explanation:
what are the answer choices
Please answer the question
Answers
Answer:
\(35.33\ m^3\)
Step-by-step explanation:
Given that,
Height of the cylindrical well, h = 20 m
The diameter of the well, d = 1.5 m
Radius, r = 0.75 m
We need to find the volume of the well. This will be the amount that is dug out to make a well. So,
\(V=\pi r^2 h\\\\V=3.14\times (0.75)^2\times 20\\\\V=35.33\ m^3\)
So, \(35.33\ m^3\) soil was dug out to make a well.
A store sells memory cards for $25 each.
a. The markup for each memory card is 25%. How much did the store pay for 50 memory cards?
Answers
Answer:
$18.75 for 1
$937.50 for 50
Find set A' n B'
U= {1, 2, 3, 4, 5, 6, 7}
A= {4, 5, 6, 7}
B = {3, 4, 7}
Answers
Answer:
its 1 and 2
Step-by-step explanation:
first find A' which is(1,2,3) since these are in the universal set but not in A.
similary B' which is (1,2,5,6)
and since (1,2) are both in A' and B' set A'nB'=(1,2)
Answer:
Step-by-step explanation:
U={1,2,3,4,5,6,7}
A={4,5,6,7}
B={3,4,7}
A'={1,2,3}
B'={1,2,5,6}
A'∩B'={1,2}
Given A = {10, 11, 12, 13}, B = {10, 12, 14, 16}, and C = {7, 8, 9, 10, 11}, find
A ∪ B
A ∩ B
A ∪ C
A ∩ C
B ∪ C
B ∩ C
Answers
The (A ∪ B) ∩ (A ∪ C) ∩ (B ∪ C) ∩ (B ∩ C) ∩ C is an empty set {}.To find the sets A ∪ B, A ∩ B, A ∪ C, A ∩ C, B ∪ C, and B ∩ C, we can perform the following operations:
A ∪ B: The union of sets A and B includes all unique elements from both sets, resulting in {10, 11, 12, 13, 14, 16}.
A ∩ B: The intersection of sets A and B includes only the common elements between the two sets, which are {10, 12}.
A ∪ C: The union of sets A and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 13}.
A ∩ C: The intersection of sets A and C includes only the common elements, which is {10, 11}.
B ∪ C: The union of sets B and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 14, 16}.
B ∩ C: The intersection of sets B and C includes only the common elements, which is an empty set {} since there are no common elements.
Finally, performing the remaining operations:
(A ∪ B) ∩ (A ∪ C): This is the intersection of the union of sets A and B with the union of sets A and C. The result is {10, 11, 12, 13} since these elements are common to both unions.
(B ∪ C) ∩ (B ∩ C): This is the intersection of the union of sets B and C with the intersection of sets B and C. Since the intersection of B and C is an empty set {}, the result is also an empty set {}.
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Lance has recognized an issue within the manufacturing of their dance platforms. How
might they go about finding a resolution?
Answers
If Lance has recognized an issue within the manufacturing of their dance platforms, there are various ways in which they can go about finding a resolution. Below are some of the ways in which Lance can address this issue and resolve it:Identify the Root Cause of the Issue:
The first thing that Lance needs to do is identify the root cause of the issue. They need to look into what exactly is causing the problem. They can carry out some research to find out what could be causing the issue, and then look into ways in which they can address this root cause.
Devise a Plan: Once Lance has identified the root cause of the issue, they can then devise a plan to resolve it. They need to come up with a plan that addresses the root cause and ensures that the issue does not occur again. This plan should be well thought out and should be implemented with the utmost care.
They need to make sure that the plan is feasible and can be implemented within the given budget.Implement the Plan: Once Lance has a plan in place, they can then begin to implement it. They need to ensure that everyone who is involved in the manufacturing process is aware of the plan and is trained to carry it out.
They need to monitor the implementation process and make any necessary adjustments.Evaluate the Results: Once the plan has been implemented, Lance needs to evaluate the results. They need to see if the plan has been successful and if the issue has been resolved.
They need to look at the data and see if there has been any improvement. If the plan has not been successful, they need to go back to the drawing board and come up with a new plan.
Overall, it is important for Lance to be proactive and address any issues in their manufacturing process. By doing so, they can ensure that their products are of the highest quality and that they maintain a good reputation in the market.
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You buy a refrigerator for $711. The sales tax rate is 4%. Estimate the sales tax
Answers
Answer:
about $28
28.44 to be exact
Step-by-step explanation:
For the function f(x) = x2 + 3x – 1, which of the following produces the number 27.
o f(5)
o f(2)
o f(3)
o f(4)
Answers
Answer:
f(4) is the correct answer which gives the number 27.
write an equation of the passing through the point (4,-1) and perpendicular to line y=2x-5
Answers
Answer: Line perpendicular to y = 2x - 5 is y = (-1/2)x.
Step-by-step explanation:
whats the volume of a cube that is 1 inch by 1 inch
Answers
Answer:
3
Step-by-step explanation:
Gave extra p. for a thorough answer
Identify the terms, variables, and coefficients of the given expression in the picture
*Ignore the “6.” that is not apart of the expression
The expression is 9k + 7 - k + 4
Andrew believes the terms are 9k, and 7-k
He believes the variables are k, and k
He believes the coefficients are 9, and 7
Is Andrew correct? If not, fix his mistakes. Explain what he did wrong.
Answers
Hey
terms are
9k , 7 , k , 4
the variable is
k
coefficients are
9 , -1
Ana works 25 hours a week at the library. If she is paid $10 an hour, and her net salary each week is $212.50, what percent of her salary is withheld for taxes?
Answers
Approximately 17.65% of Ana's salary is withheld for taxes.
To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.
Number of hours worked per week (H) = 25 hours
Hourly wage (W) = $10
Net salary (S) = $212.50
Calculate the total earnings before taxes:
Total earnings = Hours worked * Hourly wage
Total earnings = 25 hours * $10/hour
Total earnings = $250
Determine the amount of tax withheld:
Tax withheld = Total earnings - Net salary
Tax withheld = $250 - $212.50
Tax withheld = $37.50
Calculate the percentage of salary withheld for taxes:
Percentage withheld = (Tax withheld / Net salary) * 100
Percentage withheld = ($37.50 / $212.50) * 100
Percentage withheld ≈ 17.65%
Therefore, approximately 17.65% of Ana's salary is withheld for taxes.
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Give the slope and the y-intercept of the line with the
given equation. Then, graph the linear equation.
y = 3x +5
What is the slope? Select the correct choice below and
fill in any answer boxes within your choice.
OA. The slope is
(Simplify your answer.)
OB. The slope is undefined.
What is the y-intercept? Select the correct choice
below and fill in any answer boxes within your choice.
OA. The y-intercept is
(Type an integer or a simplified fraction.)
OB. There is no y-intercept.
Graph the equation.
Click to
enlarge
graph
Answers
NO LINKS!!!
1. If each spinner is spun once, what is the probability that both spinners show the same color?
2. If each spinner is spun once, what is the probability of getting a red-blue combination?
Answers
Answer:
\(\sf 1. \quad \dfrac{3}{8}\)
\(\sf 2. \quad \dfrac{7}{24}\)
Step-by-step explanation:
Spinner 1Spinner 1 is divided into 6 congruent sections.
There are 3 red sections, 2 blue sections and 1 yellow section.
Therefore, the probability of spinning each of the three colors is:
\(\bullet \quad \sf P(R_1)=\dfrac{3}{6}=\dfrac{1}{2}\)
\(\bullet \quad \sf P(B_1)=\dfrac{2}{6}=\dfrac{1}{3}\)
\(\bullet \quad \sf P(Y_1)=\dfrac{1}{6}\)
Spinner 2Spinner 2 is divided into 3 sections of differing sizes.
The red section is half of the spinner. The blue and yellow sections are quarters of the spinner.
Therefore, the probability of spinning each of the three colors is:
\(\bullet \quad \sf P(R_2)=\dfrac{1}{2}\)
\(\bullet \quad \sf P(B_2)=\dfrac{1}{4}\)
\(\bullet \quad \sf P(Y_2)=\dfrac{1}{4}\)
Question 1If each spinner is spun once, then:
The probability that both spinners both show red is:
\(\sf P(R_1)\;and\;P(R_2)=\dfrac{1}{2} \times \dfrac{1}{2}=\dfrac{1}{4}\)
The probability that both spinners both show blue is:
\(\sf P(B_1)\;and\;P(B_2)=\dfrac{1}{3} \times \dfrac{1}{4}=\dfrac{1}{12}\)
The probability that both spinners both show yellow is:
\(\sf P(Y_1)\;and\;P(Y_2)=\dfrac{1}{6} \times \dfrac{1}{4}=\dfrac{1}{24}\)
Therefore, the probability that both spinners show the same colour is:
\(\sf P(R_1\;\&\;R_2)\;or\;P(B_1\;\&\;B_2)\;or\;P(Y_1\;\&\;Y_2)=\dfrac{1}{4}+\dfrac{1}{12}+\dfrac{1}{24}=\dfrac{9}{24}=\dfrac{3}{8}\)
Question 2If each spinner is spun once, the probability of getting a red from spinner 1 and a blue from spinner 2 is:
\(\sf P(R_1)\;and\;P(B_2)=\dfrac{1}{2} \times \dfrac{1}{4}=\dfrac{1}{8}\)
The probability of getting a blue from spinner 1 and a red from spinner 2 is:
\(\sf P(B_1)\;and\;P(R_2)=\dfrac{1}{3} \times \dfrac{1}{2}=\dfrac{1}{6}\)
Therefore, the probability of getting a red-blue combination is:
\(\sf P(R_1\;\&\;B_2)\;or\;P(B_1\;\&\;R_2)=\dfrac{1}{8}+\dfrac{1}{6}=\dfrac{7}{24}\)
Why are the lines y = 5x − 1 and 10x + 2y = 0 perpendicular
Answers
Answer:
The lines are not perpendicular because the product of their slopes is not -1.
Step-by-step explanation:
y = 5x - 1
slope = 5
10x + 2y = 0
2y = -10x
y = -5x
slope = -5
The slopes are 5 and -5.
5 × (-5) = -25
The product of the slopes is -25, not -1, so the lines are not peropendicular.
Answer:
The line are not perpendicular. Perpendicular lines after opposite reciprocals.
Step-by-step explanation:
Change 10x + 2y = 0 into the slope intercept form of a line.
Subtract 10x from both sides
10x - 10x + 2y = 0 - 10 x
2y = -10x Divide both sides by 2
y = -10x/2
y = -5x.
The slope of the first equation is 5 ( y = 5x -1 ).
The slope of the second equation is -5 ( y = -5x )
The opposite reciprocal of 5 would be -1/5 not -5.
So these lines are not perpendicular.
Helping in the name of Jesus.
if x = –2 ,then find the value of x³ –2x + 1
Answers
Answer:
- 3
Step-by-step explanation:
Substitute x = - 2 into the expression , that is
(- 2)³ - 2(- 2) + 1
= - 8 + 4 + 1
= - 3
NEED HELP FAST ANWSER THIS QUESTION PLEASE
Answers
or, alternatively,
3x-2=4
your answer either way is x=2
3x-2 = 4
+2 +2
3x = 6
/3 /3
x = 2
good luck!
X=2 because if you add up the numbers on the left hand side then you will get two. BUT then, if you look into the right side of the equation then you have 4. So, with the left side you need to make this equal to 4. Now, the difference between 4 and -2 is 6 so 6/3=2 :))) hope this helped ;)
2x² + 5x, what will it a Perfect Square? make
Answers
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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Find the quotient by using a grid or drawing a picture.
720 ÷ 16
A. 46
B. 47
C. 45
D. 48
Answers
C. 45
Explanation: I used a calculator
720 / 16 = 45
45 x 16 = 720.
A rectangle has a perimeter of 30 and a length of 10. Find the width.
Answers
Answer:
5
Step-by-step explanation:
Find the growth/decay rate given the exponential function.
g(x) = 6(.83)
Answers
Answer:
Decay Rate = 17 percent
Step-by-step explanation:
1.00 - 0.83 = 0.17
how many hundred billions in the number 432,845,979,484
Answers
There are 4 hundred billions in the number 432,845,979,484.
To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.
The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.
Let's break down the number:
4 hundred billions (4 x 100,000,000,000)
3 ten billions (3 x 10,000,000,000)
2 billions (2 x 1,000,000,000)
8 hundred millions (8 x 100,000,000)
4 ten millions (4 x 10,000,000)
5 millions (5 x 1,000,000)
9 hundred thousands (9 x 100,000)
7 ten thousands (7 x 10,000)
9 thousands (9 x 1,000)
4 hundreds (4 x 100)
8 tens (8 x 10)
4 units (4 x 1)
As we can see, there are 4 hundred billions in the number 432,845,979,484.
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