The area of a circle is 25 in. What is it’s radius?

Answers

Answer 1

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2~ \begin{cases} r=radius\\ -----\\ A=25 \end{cases}\implies 25=\pi r^2\implies \cfrac{25}{\pi }=r^2 \implies \sqrt{\cfrac{25}{\pi }}=r[/tex]

Related Questions

If each weighs 2/3 pound, how many potatoes are there in a 50-pound case?

Answers

The number of potatoes that are there in a 50-pound case are 75 potatoes.

In Mathematics and Euclidean Geometry, an expression simply refers to a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables and numerical quantities (number).

Since each potato weighs 2/3 pound, the number of potatoes that are there in a 50-pound case can be modeled by the following expression;

Number of potatoes = 50 ÷ 2/3

Number of potatoes = 50 × 3/2

Number of potatoes = 150/2

Number of potatoes = 75 potatoes.

What is the solution set of the equation
X^2+3x-4=6

Answers

Two solutions were found : x = 5; x = -2. Reformatting the input : Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". Rearrange: Rearrange the equation bAnswer:

Step-by-step explanation:Two solutions were found : x = 5; x = -2. Reformatting the input : Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". Rearrange: Rearrange the equation b

Find the maximum and minimum values of the function.
y=7cosx

Answers

The Maximum and Minimum can not be determined on this problem because it isn't a quadratic function. Graphed, the highest point is 7 and lowest is -7 in a repeated mountain shape. Hope this helps.

The range of cos x is -1 to + 1

So maximum of 7 cos x = 7 and minimum is -7.

What is the number 0.093 expressed in Scientific notation?
A. 9.3 * 10^2
B. 0.93 * 10^1
C. 9.3 * 10^-3
D. 9.3 * 10^-2

Answers

0.093 expressed in Scientific
=
9.3 x 10^-2

answer
D. 9.3 * 10^-2

Option D is correct. 0.093 can be expressed in scientific notation as [tex]9.3 \times 10^{-2}[/tex].

To express the number 0.093 in scientific notation, we need to determine the coefficient and exponent.

0.093 can be written as 9.3 multiplied by a power of 10.

Since 0.093 is less than 1, the exponent should be negative.

To shift the decimal point to the right to form the original number, we move it three places to the right:

[tex]0.093 \rightarrow 9.3 \times 10^{-2}[/tex]

Therefore, 0.093 can be expressed in scientific notation as [tex]9.3 \times 10^{-2}[/tex], option D is correct.

To learn more on Number system click:

https://brainly.com/question/1763119

#SPJ6

the sum of 2 3/5 + (-1/5) write in simplest form

Answers

The answer is 2 2/5. Need an explanation

2 2/5 that’s the answer

if today is wednsday what day will it be in 100 days and why

Answers

the day would be friday because there are 7 days in a week and in fourteen weeks on wednesday would be 98 days so add two more days which would be friday which is also 100 days

Bonswa. How are you today?

We know that every week (every seven days) it will be Wednesday if today is Wednesday. So, how may weeks are in 100 days? 14. Why? Because 14(7) = 98. So, in order to get to 100 we must add 2. So what is Wednesday plus two more days? Friday. So if today is Wednesday it will be Friday in 100 days. Why? Well, that's how our calendar is set up.

The price of one share of a stock fell $12.50 each day for 8 days. Which expression represents this situation?

Answers

12.50 x 8 = 100 This is the answer

" $12.50 x 8 " is an expression to use.

what square root lies between 17 and 18

Answers

easy
if x is the number
sqrt x is between 17 and 18

17<√x<18
squaer the whole thing
289x could be 300
it could be sqrt of 300
√300=10√3

one is 10√3

Given four int values x1, x2, y1, y2 write the code to compute the distance between the two point

Answers

In which language?
Please tell me the language java, c++, cetc?

I don't get why price(max)=$80
Can someone help me

Answers

check the picture below.

as a matter of elasticity, if you sell 100 popsicles for $1, you get a revenue of $100.

However, if your price goes to $5 per popsicle, then folks will begin to find it too expensive and won't be buying 100, but just 15, so, even though $5 is a higher price, 5 * 15 is a much smaller revenue than 1 * 100.

2x^5+12x^4+16x^3-12x^2-18x=0

Answers

[tex]2x^5+12x^4+16x^3-12x^2-18x=0 [/tex]

Verify the identity Cotx/tanx+cotx = 1-sin^2x

Answers

[tex]\bf sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \\\\\\ tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)} \qquad \qquad cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}\\\\ -------------------------------\\\\ \cfrac{cot(x)}{tan(x)+cot(x)}=1-sin^2(x) \\\\\\ \textit{doing the left-side}\implies \cfrac{\frac{cos(x)}{sin(x)}}{\frac{sin(x)}{cos(x)}+\frac{cos(x)}{sin(x)}}\implies \cfrac{\frac{cos(x)}{sin(x)}}{\frac{sin^2(x)+cos^2(x)}{cos(x)sin(x)}}[/tex]

[tex]\bf \cfrac{\frac{cos(x)}{sin(x)}}{\frac{1}{cos(x)sin(x)}}\implies \cfrac{cos(x)}{\underline{sin(x)}}\cdot \cfrac{cos(x)\underline{sin(x)}}{1}\implies cos^2(x)\implies 1-sin^2(x)[/tex]

Find the interest rate for the given deposit and compound amount. $4600 accumulating to $5994.78, compounded monthly for 4 years.

Answers

Here we use the classic formula for Compound Amount:

A = P (1 + r/n)^nt

where P is the intial amount (i. e., the principal), r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

Then $5994.78 = $4600 (1 + r/12)^(4*12)

or ... $5994.78 = $4600 (1 + r/12)^48

We must solve for r.

Divide both sides of this equation by $4600:

1.303 = (1 + r/12)^48

Take the 48th root of both sides of this equation:

1.0056 = 1 + r/12

0.0056 = r/12 Solve for r: r = 12(0.0056) = 0.0672

The annual interest rate was 6.72%.

The rate of interest monthly is 0.55%.

Given that,

The deposit amount is $4,600.The future value is $5,994.78The number of months = 4(12) = 48.The payment i.e. PMT = $0

Based on the above information, the calculation is as follows:

The formula is

= RATE(NPER,PMT,-PV,FV,TYPE)

After applying the above formula, the rate of interest monthly is 0.55%.

Learn more: brainly.com/question/13324776

A problem states
there are 5 more girls than boys and girls there are 27 students in the class in all How many boys are in the class
What are the unknowns in this problem

A Number of students in the class
B The number of boys in the class
C The number of girls in class
D The number of boys and the number of girls in class

Answers

the problem only stats there are 27 students and that there are 5 more girls than boys

it does not say how many boys or how many girls there are so D should be the answer

A new iPhone user receives an average of 4.2 phone calls per hour. The calls occur randomly in time so if X = the number of calls received in an hour, then we can assume that X has a Poisson distribution with parameter λ = 4.2. Let Y = the number of phone calls received in a day. Assume all necessary independence in the following.
a. Y also has a Poisson distribution. What is the λ for Y?

b. What is the standard deviation of X?

c. What is the standard deviation of Y?

d. What is the probability that no calls are received in an hour?

e. What is the probability that more than 120 calls are received in a day?

f. What is the probability that Y is between 90 and 110 inclusive? (i.e. 90 ≤ Y≤110)

g. What is the variance of square root of 2Y?

h. Assume this distribution holds for all hours and days and that one call is independent from another. What is the probability that 120 or fewer calls are received for every day of this week? (Assume appropriate independence

Add any comments below.

Answers

Part A:

Given that Y is the number of phone calls received in a day and that a new iPhone user receives an average of 4.2 phone calls per hour.

Thus, the average number of phone calls received in a day is 4.2 * 24 = 100.8

Therefore, the λ for Y is 100.8

Part B:

The standard deviation of a Poisson distribution is given by

[tex]\sigma=\sqrt{\lambda}[/tex]

Thus, the standard deviation of X is given by

[tex]\sigma=\sqrt{4.2}=2.05[/tex]

Therefore, the standard deviation of X is 2.05.

Part C:

The standard deviation of Y is given by

[tex]\sigma=\sqrt{100.8}=10.04[/tex]

Therefore, the standard deviation of X is 10.04.

Part D:

The probability of a Poisson distribution is given by

[tex]P(X=x)=e^{-\lambda} \frac{\lambda^x}{x!} [/tex]

where, x is the number of occurence of the event in the given period.

Thus, the probability that no calls are received in an hour is given by

[tex]P(X=0)=e^{-4.2} \frac{(4.2)^0}{0!} =0.015[/tex]

Therefore, the probability that no calls are received in an hour is 0.015

Part E:

We approximate the Poisson distribution using Normal distribution by noting that for a Poisson distribution

[tex]\mu=\lambda \\ \\ \sigma^2=\lambda \\ \\ \sigma=\sqrt{\lambda}[/tex]

The probability of a normal distribution is given by

[tex]P(X\ \textless \ x)=P\left(z\ \textless \ \frac{x-\mu}{\sigma} \right)[/tex]

Thus, the probability that more than 120 calls are received in a day is given by

[tex]P(X\ \textgreater \ 120)=1-P(X\leq120) \\ \\ =1-P\left(z\leq \frac{120-100.8}{10.04} \right)=1-P(z\leq1.912) \\ \\ =1-0.97208=0.0279[/tex]

Therefore, the probability that more than 120 calls are received in a day is 0.0279

Part F:

We also approximate this using Normal distribution

The probability of a normal distribution between two value (a, b) is given by

[tex]P(a\ \textless \ X\ \textless \ b)=P\left(z\ \textless \ \frac{b-\mu}{\sigma} \right)-P\left(z\ \textless \ \frac{a-\mu}{\sigma} \right)[/tex]

Thus, the probability that Y is between 90 and 110 inclusive is given by

[tex]P(90\leq X\leq 110)=P\left(z\leq \ \frac{110-100.8}{10.04} \right)-P\left(z\leq \frac{90-100.8}{10.04} \right) \\ \\ =P(z\leq0.916)-P(-1.076)=0.82025-0.14103=0.67922[/tex]

Therefore, the probability that Y is between 90 and 110 is 0.67922

Part G:

The variance of aY is given by

[tex]Var(aY)=a^2Var(Y)[/tex]

Thus, the variance of [tex] \sqrt{2} Y[/tex] is given by

[tex]Var( \sqrt{2} Y)=( \sqrt{2} )^2Var(Y)=2(100.8)=201.6[/tex]

Therefore, the variance of [tex] \sqrt{2} Y[/tex] is 201.6

Part H:

We approximate this using Normal distribution

The probability of a normal distribution is given by

[tex]P(X\ \textless \ x)=P\left(z\ \textless \ \frac{x-\mu}{\sigma} \right)[/tex]

Thus, the probability that 120 or fewer calls are received in a day is given by

[tex]P(X\leq120)=P\left(z\leq \frac{120-100.8}{10.04} \right) \\ \\ =P(z\leq1.912)=0.97208[/tex]

Since, this distribution holds for all hours and days and one call is independent from another. Assuming that there are seven days in a week.

The probability that 120 or fewer calls are received for every day of this week is given by

[tex](0.97208)^7=0.8202[/tex]

Therefore, the probability that 120 or fewer calls are received for every day of this week is 0.8202

Write the equation for the following relation. Include all of your work in your final answer. Submit your solution. P = {(x, y): (1, 0), (2, 4), (3, 8), (4, 12), . . .}

Answers

First, we will notice that while the value of x increases by 1, the corresponding value of y increases by 4. This means that this is a linear relation.

The general equation for linear equations is : y = mx + c where m is the slope and c is the y-intercept

To get the slope, we will need to use two points. Let's take the first and the last points: (1,0) and (4,12)
The slope is calculated as: (y2-y1) / (x2-x1)
Use the chosen points to substitute in the equation and get the slope as follows:
m = (12-0) / (4-1) = 12/3 = 4

Now, the equation of the line became: y = 4x + c

The given points all satisfy the equation of the line, we can use any of them to substitute in the equation and get the value of c.
For instance, I will use the first point: (1,0)
y = 4x + c
0 = 4(1) + c
c = -4

The equation of the line is:
y = 4x - 4

Y=2x^2-x-10 write in intercept form

Answers

y-intercept: Let x = 0 and solve for y. Then y =2(0)^2 -(0) - 10 = -10. The y-intercept is (0,-1).

x-intercept: Let y = 0 and solve for x.
Then 0 = 2x^2 - x - 10. a=2, b= -1 and c = -10.
-(-1) plus or minus sqrt[ (-1)^2 - 4(2)(-10)
Then x = ------------------------------------------------------------
2(2)
1 plus or minus sqrt(81) 1 plus or minus 9
x = ----------------------------------- = ---------------------------
4 4

Calculate the 2 x-values. Let's call them "a" and "b." Then the x-intercepts (there are 2) are

(a, 0) and (b, 0)

The table shows the steps for solving the given inequality for x.

−3(4−6x)
Select the reason for each step from the drop-down menus.

Answers

step        justification

- 3 (4 - 6x) < x + 5

- 12 + 18x < x + 5                 distributive property (to solve the left side)

-12 + 17x < 5                        subtraction property of equality (to transpose x
                                             from right to left side)

                                              subtraction of like terms (18x - x = 17x)

17x < 17                                addition property of equality (to tranpose - 12
                                              from left to right side)

                                              addition of like terms (12 + 5 =17)

x < 1                                  division property of equality

Answer:step justification

- 3 (4 - 6x) < x + 5

- 12 + 18x < x + 5 distributive property (to solve the left side)

-12 + 17x < 5 subtraction property of equality (to transpose x

from right to left side)

subtraction of like terms (18x - x = 17x)

17x < 17 addition property of equality (to tranpose - 12

from left to right side)

addition of like terms (12 + 5 =17)

x < 1 division property of equality

Step-by-step explanation:

Suppose △DEF≅△MNO.
Which congruency statement is true?

A) DF≅NO
B) DE≅MN
C) EF≅MN
D) EF≅MO

Answers

the answer is b. would u like to see steps or are you good?

Final answer:

When triangles are congruent, their corresponding sides and angles are the same. Hence in congruent triangles △DEF and △MNO, side DF is congruent to side MN, thus option B) DE≅MN is the correct answer.

Explanation:

In the case of congruent triangles, the corresponding sides and angles are essentially the same. Therefore, we must match up the corresponding sides. A correct statement would be that side DF, from the first triangle, is congruent to side MN, from the second triangle. Hence the correct option is B) DE≅MN.

Additionally, DE would be congruent to MN, and EF would be congruent to NO, completing the congruence between triangles △DEF and △MNO.

Learn more about Congruent Triangles here:

https://brainly.com/question/22062407

#SPJ2

The fourth grade collected 40,583 cans and plastic bottles. Write the number in word form?

Answers

fourty-thousand,five-hundred eighty-three

Answer is 'Forty thousand, five hundred eighty-three'.

When we write numbers in word form, we express each digit's value in words. In the number 40,583, we have:

"Forty" represents the digit 4 in the ten thousands place.

"Five hundred" represents the digit 5 in the hundreds place.

"Eighty" represents the digit 8 in the tens place.

"Three" represents the digit 3 in the ones place.

Sampling is ordinarily used when the number of items comprising the population is relatively small.

Answers

I believe this statement is false, and that sampling is used when the number of items in a population are fairly large. One would use a sample to represent some form of measurement or test so that it can be applied to the larger number of same objects.

Mia's cat weighs 13 pounds, 7 ounces
About how many kilograms is this

Answers

Mias cat weighs about 6 kg

Her cat is About 6 kg :)

The ordered pair (2, 1) is a solution of a direct variation equation. Write the equation and identify the constant of variation.

Answers

A direct variation equation takes the form "b = ka," where the k is the constant of variation. In this case, 1 (b) is one-half as large as 2 (a), so the constant will be 0.5. This would allow the equation to be written as "b = 0.5a," and the constant of variation in this equation is 0.5.

If the volume of a cone with the same height as a cylinder equals the volume of the cylinder, the equation for the radius of cone R in terms of the radius of cylinder r is ________?

Answers

Volume of a cylinder with radius r and height H, Vc = π (r^2)*H

Volume of a conce with radius R and height H, Vcone = (1/3) π (R^2) * H

Vcone = Vc => (1/3)π (R^2)*H = π(r^2)*H

=> R^2 = 3 * (r^2)

=> R = r√3

Answer: R = r √3

Point P is reflected across two lines. Point A is its reflection image. Which two lines is point P reflected across?

x = 3 and y = 2

x = -2 and y = 2

x = 3 and y = -3

x = -2 and y = -3

Answers

the correct answer would be x=3 and y=2

Answer: The two lines are x = -2 and y = 2.

Step-by-step explanation: Given that the point P on the co-ordinate plane is reflected across two lines and A is its image after the reflection.

We are to find the two lines across which the point P is reflected.

The co-ordinates of point P are (0, 0) and the co-ordinates of its image A after reflection from two lines are (-4, 4).

From the given figure, we can note that

the first line of reflection is y = 2. Point C(0, 4) is the image after reflection from first line.

The second line of reflection is x = -2. Point A(-4,4) is the final image after second reflection.

Thus, the two lines are x = -2 and y = 2.

Stuck on this question. Any help would be appreciated.

Answers

Solving the 2nd equation for r results in
10-2h
r = --------------
5
(10-2h)^2
Then r^2 = ----------------
25

Substitute this r and this r^2 into the first equation and simplify. This will result in a formula for V as a function of h (V in terms of h).

Jennifer's grandmother buys carrots at the farm stand. She and her 3 grandchildren equally share the carrots. The total weight of the carrots she bought is 28 kilograms. How many kilograms of carrots will Jennifer get ?

Answers

since they share it equally
28/4=7

Simplify 3 + c (8n + 4) + 9n

A. 49n + 20
B. 3+33n
C. 25n + 11
D. 19n + 7

Answers

c is the answer to your question

Well first you need to distribute the (c) to the 8n+4. So then you you would get 8nc+4c+9n+3. Not unless that (c) is suppose to be a number.

For a laboratory assignment, if the equipment is working, the density function of the observed outcome x is f(x) = 2(1 − x), 0

Answers

The Variance is [tex]\int\limits^1_0 {(x- \mu)^2(2(1-x))} \, dx[/tex].

What is Variance?

Variability is measured by the variance. The average of the squared deviations from the mean is used to calculate it. The degree of spread in your data set is indicated by variance. The variance is greater in respect to the mean the more dispersed the data.

Given:

E(x) = [tex]\int\limits^1_0 {x(2(1-x))} \, dx[/tex]

= [tex]\int\limits^1_0 {(2x - 2x^2)} \, dx[/tex]

For the variance, if μ is the mean, then

Var(x) = E( x- μ)²

= [tex]\int\limits^1_0 {(x- \mu)^2(2(1-x))} \, dx[/tex]

Learn more about variance here:

https://brainly.com/question/14116780

#SPJ5

On the blueprint of a house, 48 millimeters represents 7 meters. the length of the living room is 60 millimeters on the blueprint, what is the actual length of the living room?

Answers

[tex]\bf \begin{array}{ccll} \stackrel{blueprint}{mms}&\stackrel{actual}{meters}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 48&7\\ 60&x \end{array}\implies \cfrac{48}{60}=\cfrac{7}{x}\implies x=\cfrac{60\cdot 7}{48}[/tex]

Other Questions

Haiti's revolution was ________ the general course of independence movements in latin america. What kind of solution occurs in your mouth when you eat something with a high salt content? a hypotonic solution an isotonic solution a hypertonic solutionWhat kind of solution occurs in your mouth when you eat something with a high salt content? a hypotonic solution an isotonic solution a hypertonic solution Jerry's goal is to increase his arm strength. Look at these entries in his workout log and determine which principle of training he is most likely focusing on in order to reach that goal.Tuesday4 reps @ 15 lbsWednesdayYoga classThursday5 reps @15 lbsFriday30-minute easy runSaturday6 reps @15 lbsSundayRest Time Overload Reversibility Progression A controversial topic is one that is (4 points) Settled Objective Advanced Debatable When considering different hypotheses, usually the ____ one which can account for the ____ is the correct one. | | \/ \/ newestplanetary system simplestinformation most complicatedorbitals longesttheoryI know its not chemistry but theres no science option The formula to determine the _____ is based on the _____.A.central limit theorem; standard deviationB.standard deviation; central limit theoremC.standard error of the mean; central limit theoremD.central limit theorem; z test What reasoning and explanations can be used when solving radical equations? European cuckoo birds lay their eggs in the nest of other bird species, allowing the other birds to raise their young. the cuckoo birds are therefore: The steps in the melting of an ice-cream bar kept beside a bonfire are listed below:Step 1: Heat from the bonfire travels to the ice-cream barStep 2: Heat travels from one part of the ice-cream bar to the other partsWhich statement is true? Heat is transferred by convection in Step 1 and by radiation in Step 2. Heat is transferred by radiation in Step 1 and by convection in Step 2. Heat is transferred by conduction in Step 1 and by radiation in Step 2. Heat is transferred by radiation in Step 1 and by conduction in Step 2. Quadrilateral ABCD is located at A(2, 2), B(2, 4), C(2, 4), and D(2, 2). The quadrilateral is then transformed using the rule (x 2, y + 8) to form the image A'B'C'D'. What are the new coordinates of A', B', C', and D'? Describe what characteristics you would find if the corresponding vertices were connected with line segments. Carlos is a salesperson for an industrial equipment company. carlos calls on manufacturers and spends most of his time talking with system operators who work on the factory floor. while carlos is able to get the operators interested in his products, he is often unable to make a sale. carlos needs to: Simplify the expression(-5)^3Answers:1251251525 if you nunca eat red meat how often do you eat it Please help me with this Math question Analogy or simile? "She walks in beauty, like the night" Which disease attacks the bodys joints What dietary education should the nurse provide to a client diagnosed with a hiatal hernia? After the war many Americans who fought in the revolutionary war:Preferred European to American newspapers Refused to go home until Congress address their grievances Focused on private rather than public affairs Rejected religious notions of the nations destiny Vwhat type of body movement occurs in the lower leg when a person kicks a soccer ball forward? Po is trying to solve the following equation by completing the square: 49x^2+56x-64 = 0.He successfully rewrites the above equation in the following form: (ax + b)^2 = c,where a, b, and c are integers and a > 0. What is the value of a + b + c?Halp Steam Workshop Downloader