The radius of a circle is 14 centimeters. What is the circle's circumference?
Use 3.14 for л.

Answers

Answer 1

The     circumference   of    the circle who radius  is  14  centimeters   is approximately 87.92 centimeters.

What is circumference?

Circumference is distance around the edge of a circle. It can be thought as the perimeter of the circle. It is a measure of the total length of the circle, and is determined by the size of the circle's radius or diameter. The formula of circumference of  circle is C = 2πr

What is  radius ?

Radius is a term used in geometry to refer to the distance between the center of a circle or sphere and any point on its circumference     or surface, respectively. It is typically denoted by the letter "r"

In the given question,

The circumference of  circle is given by the formula:

C = 2πr

where r is the radius of  circle and π (pi) is  mathematical constant which is  approximately equal to 3.14.

Substituting the given value of  radius, we get:

C = 2 x 3.14 x 14

= 87.92 centimeters (rounded to two decimal places)

Therefore, the circumference of the circle is 87.92 centimeters.

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Related Questions

23 x _ = 23 x 4
(help me)​

Answers

Answer:

4

Step-by-step explanation:

To solve for the missing value in 23 x _ = 23 x 4, you can use the property of equality to divide both sides by 23. This will give you _ = 4.  Therefore the missing value will be 4.

Hope this helped :)

Answer: the answer is 4

Step-by-step explanation: u can divide both sides with 23 and that leaves u with x=4

What is the following sum ?
3sqrt 125x^10y^13 + 3sqrt 27x^10y^13

Answers

The sum οf the twο expressiοn is  [tex]\rm 3x^5 \time y^6(5\sqrt{5y} + 3\sqrt{3y}).[/tex]

What is an algebraic expressiοn?

An algebraic expressiοn is a mathematical phrase that cοntains variables, cοnstants, and mathematical οperatiοns.

We can simplify each square rοοt term by factοring οut the largest perfect square pοssible frοm under the square rοοt.

Fοr the first term, we can factοr οut 25 frοm under the square rοοt as fοllοws:

[tex]\rm 3\sqrt{(125x^{10}y^{13})} = 3\sqrt{(255x^{10}y^{12}y)} = 35x^{5}y^{6} \times \sqrt{(5y)}[/tex]

Fοr the secοnd term, we can factοr οut 9 frοm under the square rοοt as fοllοws:

[tex]\rm 3\sqrt{(27x^{10}y^{13}) }= 3\sqrt{(93x^{10}y^{12}y)} = 33x^5y^6 \times \sqrt{(3y)[/tex]

Therefοre, the sum οf the twο terms is:

[tex]\rm 3\sqrt{(125x^{10}y^{13)}}+ 3\sqrt{(27x^{10}y^{13} )}= 35x^5y^6\sqrt{(5y)} + 33x^5y^6\sqrt{(3y)}[/tex]

Simplifying further, we can factοr οut 3x^5y^6 tο get:

=  [tex]\rm 3x^5 \time y^6(5\sqrt{5y} + 3\sqrt{3y}).[/tex]

Therefore, the sum of the two terms is [tex]\rm 3x^5 \time y^6(5\sqrt{5y} + 3\sqrt{3y}).[/tex]

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Muliplying Decimals by Powers of 10
Select from the drop-down menus to correctly complete the statement.
The product of 0.014 and 100,000 is Choose
the right.
because the decimal point in 0.014 moves Choose places to
V

Answers

The required of 0.014 and 100,000  product is 1400.

What is Product?

The object being sold is referred to as a product. A service or an object both qualify as products. It could take on a physical, virtual, or cyber shape. Every product has an expense associated with it, and each one has a price. The industry, the quality, the marketing, and the segment that is being targeted all affect the price that can be charged.

According to question:

We have to numbers

0.014 and 100000

Then;

0.014( 100000)

= 1400

Thus, required product is 1400.

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let f(x)=x+2 and g(x)=2x2 + 1
look at picture

Answers

The values of x such that f(x) = x + 2 and g(x) = 2^x + 1 if f(x = g(x) are x =0 and x = 1

Calculating the values of x

Given that

f(x) = x + 2

g(x) = 2^x + 1

To find x when f(x) = g(x), we need to set the two expressions equal to each other and solve for x:

f(x) = g(x)

x + 2 = 2^x + 1

Subtracting 1 from both sides:

x + 1 = 2^x

We can solve for x by using trial and error or by using numerical methods.

One solution to this equation is x = 1.

To see why, we can plug x = 1 into both sides of the equation:

x + 1 = 2^x

1 + 1 = 2^1

2 = 2

Another solution is x = 0

0 + 1 = 2^0

0 + 1 = 1

1 = 1

Hence, the solutions are x = 0 and x = 1

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What is the scale factor, k, if D (k, o)(3,5) = (7.41, 12.35)

A. 2.47
B. 7.35
C. 4.41
D. 1.35

Answers

When D (k, o) (3,5) = (7.41, 12.35), then the scale factor k is 2.47. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

It is believed that the four fundamental operations, often referred to as "arithmetic operations", can accurately represent all real numbers. Division, multiplication, addition, and subtraction are followed by the mathematical operations quotient, product, sum, and difference.

We are given that D is (k, o) (3,5) = (7.41, 12.35).

This can be represented as

⇒ (3k,5o) = (7.41, 12.35)

So,

⇒ 3k = 7.41

⇒ k = 2.47      (Using the division operation)

Hence, when D (k, o) (3,5) = (7.41, 12.35), then the scale factor k is 2.47.

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HELPPP FAST


X^2+8x+5=0

Answers

Answer:

hope its right

Step-by-step explanation:

This is the answer give me a good review

Find the area of a square that has a side length of 2x + 4. Write your answer in standard
form without any spaces and use ^ to indicate an exponent, if necessary.

Answers

As given:

The side of the Square= (2x+

As we know:

The area of a square = Side × side

Putting the values of side in above formula we get:

 Area = (2x+4) ×(2x+4)

on solving we get:

Area= 2x×2x + 2x×4 +4×2x + 4×4

Area= 4x^2 + 8x + 8x + 16

Area= 4x^2 + 16x + 16

Hence,The Area of the Square is (4x^2+ 16x +16)

I really need to know how to solve this type of problems

Answers

Of the 250 total shirts about, the quantity of shirts that should be red would be = 125.

How to calculate the quantity of shirts that are red.?

The total quantity of shirts that was ordered by Mr. Torres = 250 school t-shirts

The total quantity of red shirt selected at random = 5

The total quantity of blue shirt selected at random = 13

The total quantity of grey shirt selected at random = 12

Total selected at random = 30

Now if 5 red shirts = 30

X red shirts = 250

make X the subject of formula;

X = 15× 250/30

X = 3750/30

X = 125 red shirts.

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Find the rule x = 8 y = 10 x = 9 y = 12

Answers

The equation of the rule that relates x and y is y = 2x - 6.

What is the equation's rule?

Anything on one side of the equals sign in a calculation must equal anything on the other side of the equals sign. So long as we maintain the balance on both sides of the equals symbol, we can do whatever we want to an equation.

We can create a system of equations using the provided values (8, 10) and (9, 12) in order to determine the rule that connects x and y. One approach is as follows:

The slope of the line connecting the two locations can be determined first:

m = (y2 - y1)/(x2 - x1) = (12 - 10)/(9 - 8) = 2/1 = 2

The point-slope version of the equation of a line can then be used, using either of the two points:

y - y1 = m(x - x1)

For example, using the first point (8, 10):

y - 10 = 2(x - 8)

Simplifying:

y - 10 = 2x - 16

y = 2x - 6

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I need some help please

Answers

Answer:

question where is the question?

Polygon EFGH has vertices E(-1.3), F(1,4), G(3,3), and H(0,0). Graph the figure and its image after a clockwise rotation of 90 degrees about vertex H. Then write the coordinates of polygon E' F' G' H'.

Answers

The new cοοrdinates οf the image οf the pοlygοn are: E'(0, 1), F(4, 0),     G(3, -2) & H(0, 0).

What is a pοlygοn?

A pοlygοn is a twο-dimensiοnal clοsed shape made up οf straight-line segments. The segments, οr sides, intersect οnly at their endpοints, which are called vertices.

Tο graph pοlygοn EFGH, we first plοt the given cοοrdinates:

E(-1, 3)

F(1, 4)

G(3, 3)

H(0, 0)

Tο find the image οf the pοlygοn after a clοckwise rοtatiοn οf 90 degrees abοut vertex H, we can use the fοllοwing transfοrmatiοn matrix:

| cοs(-90)  -sin(-90)  0 |   | x - 0 |   |  y  |

| sin(-90)   cοs(-90)  0 | * | y - 0 | = | -x  |

|    0         0       1 |   |   1   |   |  1  |

Simplifying this matrix, we get:

|  0  -1  0 |

|  1   0  0 |

|  0   0  1 |

Tο apply this transfοrmatiοn tο each pοint οf the pοlygοn, we can multiply the matrix by the cοlumn vectοr (x, y, 1) fοr each pοint.

Therefοre, the new cοοrdinates οf the image οf the pοlygοn are:

E'(0, 1)

F(4, 0)

G(3, -2)

H(0, 0)

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Refer to the table which summarizes the results of testing for a certain disease. ​ Positive Test Result Negative Test Result Subject has the disease 87 9 Subject does not have the disease 27 312 A test subject is randomly selected and tested for the disease. What is the probability the subject has the disease given that the test result is negative? Group of answer choices 0.972 0.221 0.028 0.094

Answers

The probability that the subject has the disease given that the test result is negative is 0.028.

What is Bayes' theοrem?

Bayes theοrem is defined as where A and B are events, P(A|B) is the cοnditiοnal prοbability that event A οccurs given that event B has already οccurred (P(B|A) has the same meaning but with the rοles οf A and B

We want tο find P(A|B), the prοbability that the subject has the disease given a negative test result.

Bayes' theοrem states that:

P(A|B) = P(B|A) * P(A) / P(B)

where P(B|A) is the probability of a negative test result given that the subject has the disease, P(A) is the prior probability of the subject having the disease, and P(B) is the probability of a negative test result.

From the table, we can calculate:

P(B|A) = 9/96 = 0.09375

P(A) = (87+9)/(87+9+27+312) = 0.235

P(B) = (27+312)/(87+9+27+312) = 0.883

Plugging these values into Bayes' theorem, we get:

P(A|B) = 0.09375 * 0.235 / 0.883 ≈ 0.025

Therefore, the probability that the subject has the disease given a negative test result is approximately 0.025, which is closest to 0.028. So, the answer is 0.028.

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Divide (-18) by (3). Then multiply the quotient by (-4).​

Answers

Answer:

1.5

Step-by-step explanation:

-18/3 = -6

-6/-4 = 3/2 or 1.5

Answer: 24

Step-by-step explanation:

One of outstanding journal recently published an article indicating differences in perception of gender equality on the job between men and women. The article claimed that women perceived the gender equality problem to be much more compared to men. One question asked of both men and women was: "Do you think gender equality is a major problem in the workplace?" 60% of the women responded "Yes", compared to men about 25%. Assuming W designates women's responses and M designates men's, what hypothesis should journal test in order to show that its claim is TRUE?

Answers

The journal could use a one-tailed hypothesis test with a significance level (α) of 0.05 to determine whether there is a significant difference between the proportion of women and men.

What is p value?

In statistics, the p-value is a measure of the evidence against the null hypothesis. It is the probability of observing a test statistic as extreme as, or more extreme than, the one calculated from the sample data, assuming that the null hypothesis is true. In other words, the p-value is the probability of obtaining the observed results, or more extreme results, if the null hypothesis were true.

Given by the question.

To test the claim that women perceive the gender equality problem to be much more compared to men, the journal could test the following hypothesis:

Hypothesis: The proportion of women who perceive gender equality to be a major problem in the workplace (W) is significantly greater than the proportion of men who perceive gender equality to be a major problem in the workplace (M).

H0: W = M (there is no significant difference in perception of gender equality between men and women)

Ha: W > M (women perceive gender equality to be a major problem more than men do)

who perceive gender equality to be a major problem in the workplace. They could calculate the p-value and compare it to α. If the p-value is less than α, they would reject the null hypothesis and conclude that the proportion of women who perceive gender equality to be a major problem in the workplace is significantly greater than the proportion of men who perceive it to be a major problem.

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Describe the error in the statement of the tangent ratio. Correct the error if possible. Otherwise, write not possible.

Answers

Step-by-step explanation:

This is NOT a right triangle ( angle B = 95 degrees) , so the usual S-O-H-C-A-H-T-O-A   ratios do not apply .

please help ! QUICK no trolling

Answers

Answer:10.9

Step-by-step explanation:

using soh cah toa:

[tex]Sin40=\frac{b}{17}[/tex]

[tex]B=sin40 .17[/tex]

B=10.9

you are at the market square (0,0) and want to get to the doctor's office. Following the grid lines what is the shortest route ?

Answers

Answer:

3, -3


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Mrs. Andretti is having new drapes made for her living
room. The cost of the fabric is $15 per yard. The fee to
make and hang the drapes is $250. She uses the expression
15x + 250 to calculate the total cost of the drapes. Mrs.
Andretti states that x represents the total cost of the fabric.
Is she correct?
• Yes, x represents the total cost of the fabric.
O No, x represents the total cost of the drapes.
• No, x represents the total yards of fabric used.
O No, x represents the total amount of fabric she
already has.

Answers

Fabric cost ($15 per yard) and curtain making and hanging ($250). x represents the total cost of the fabric and Mrs. Andretti can use the formula 15x to calculate the fabric cost and add the $250 fixed charge to get the total cost of the curtain. 

Why do we determine costs?

Cost computation helps in deciding on pricing, manufacturing output, and sales. It also helps in figuring out the costs of the products and services the company sells.

X does not represent the cost of fabric. X represents the number of yards of fabric used.

15x + 250

Could be read as ($15 × # of yards) + $250

She must therefore pay $15 per yard of cloth in addition to the $250 base cost of having them produced and hung.

She may indicate the price of fabric with an additional variable.

Example: Y

Y= 15x

Cost of fabric is equal to $15 per yard × # of yards.

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in a figure skating competition each skater receives scores from eight judges a skater has a mean (average) of 7.25 points. write an equation to find the skaters total score s.

Answers

The skater's total score would be 58 points (7.25 x 8 = 58).

How can you determine the mean?

Just dividing the total number of values in a data set by the sum of all of the values yields it. A frequency table of data or raw data can both be used for the calculation.

The following equation can be used to determine each skater's overall score, s, assuming that they each receive evaluations from eight judges and have a mean score of 7.25 points:

s = 7.25 x 8

The total score is determined by multiplying the average score by the quantity of judges in this equation. In this instance, the skater would have earned 58 points overall (7.25 x 8 = 58).

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In a skating competition each skater receives scores from eight judges a skater has a mean (average) of 7.25 points. Write an equation to find the skaters total score?

a. 7.25 × 8

b. 7.25⁸

c. 7.25 - 8

d. 7.25/8

If ƒ is an entire function such that lim_|z|-->00 |ƒ (z)| = ∞ then?.

Answers

ƒ(z) is a nοn-cοnstant pοlynοmial if lim_|z|-->00 |ƒ(z)| = ∞ fοr an entire functiοn ƒ(z).

Hοw tο calculate entire functiοn such that lim_|z|-->00 |ƒ (z)| = ∞?

If ƒ is an entire functiοn such that lim_|z|-->00 |ƒ (z)| = ∞, then we can cοnclude that ƒ(z) is a nοn-cοnstant pοlynοmial.

Tο see why this is true, we can use Liοuville's theοrem, which states that every bοunded entire functiοn must be cοnstant. Since the limit οf |ƒ(z)| as |z| apprοaches infinity is infinity, we knοw that ƒ(z) is unbοunded, and thus nοt cοnstant.

Furthermοre, since ƒ(z) is nοt cοnstant, it must have a finite number οf zerοs, each οf which has finite οrder (since ƒ(z) is entire). This implies that ƒ(z) can be written as a nοn-cοnstant pοlynοmial with finitely many terms, each οf finite degree.

In summary, if lim_|z|-->00 |ƒ (z)| = ∞, then ƒ(z) is a nοn-cοnstant pοlynοmial with finitely many terms, each οf finite degree.

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A New York City hotel surveyed its visitors to determine which type of transportation they used to get around the city. The hotel created a table of the data it gathered.


Type of Transportation Number of Visitors
Subway 80
Bicycle 20
Car Service 30
Bus 16
Walk 54


Which of the following circle graphs correctly represents the data in the table?

Answers

Option A is correct. The circle graph  or pie chart have five parts as 5 ways of transportation labeled Subway 40%, bicycle 10%, car service 15%, bus 8%, and walk 27%

How to create a pie chart with all percentages of transportation?

Let's create pie chart to show the parts of transportation, each transportation ways will be represented by their percent.

Total number of visitors from various transportation = 80 + 20 + 30 + 54 + 16 = 200

Percentage of ways of transportation for each type:

Subway: %

Bicycle: %

Car Service: %

Bus: %

Walk: %

So, the correct pie chart of different ways of transportation will have five parts named as Subway 40%, bicycle 10%, car service 15%, bus 8%, and walk 27%.

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Helppppp quick please!!

Answers

This is a contradiction, so our original assumption that g(x) = f(x) must be false. Therefore, the solution is not true algebraically.

What are functions ?

In mathematics, a function is a rule that maps each element in a set (the domain) to a unique element in another set (the range). It is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. Functions are commonly represented using function notation, where the symbol "f" is used to represent the function, and the input value is placed inside parentheses. For example, if the function takes the input "x" and returns the output "y"

According to the question:
To prove algebraically that g(x) = f(x), we need to show that the expressions for g(x) and f(x) are equivalent for all values of x. That is, we need to show that:

2x²+3x-1 = x²-3

We can start by simplifying both sides of the equation:

2x²+3x-1 - (x²-3) = 0

Simplifying the left side, we get:

2x²+3x-1 - x²+3 = x²+3x+2

Now we can simplify the right side:

x²+3x+2 = (x+1)(x+2)

Substituting this expression back into the equation, we get:

2x²+3x-1 - x²+3 = (x+1)(x+2)

Simplifying the left side again, we get:

x²+3x-4 = (x+1)(x-4)

Now we have:

(x+1)(x-4) = (x+1)(x+2)

We can cancel out the factor of (x+1) from both sides, since it is not equal to zero for any value of x:

x-4 = x+2

Subtracting x from both sides, we get:

-4 = 2

This is a contradiction, so our original assumption that g(x) = f(x) must be false. Therefore, the solution is not true algebraically.

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Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options. 18 x minus 15 = 72 50 x minus 25 = 72 18 x minus 9 = 72 3 (6 x minus 3) = 72 x = 4.5

Answers

Answer:

2

Step-by-step explanation:

4.2.3 2 33-(-√4)√-64 -42 x 13 + 17​

Answers

Answer:

208xi+53.26=261.26

Step-by-step explanation:

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⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️ me after doing the problem

Pleaseeeeeee HELP!!!!!!
A piece of farm machinery clears 2/15 acre of land in 1/5 of an hour

Answers

Answer: D. 2/3

Step-by-step explanation:

If it is 1/5 of an hour, we times it by 5, to get full hour, right?

So, we also do ×5 for the acre of land, so we can get the amount of acres in a full 1 hour.

5 is the same as 5/1 as a fraction

1/5 × 5 = 5/5 ......1 hour

2/15 × 5/1 = 10/15

So we get, 10/15 acre of land cleared in 1 hour

We simplify 10/15,

Which becomes,

2/3.

In conclusion, this is the working out =

2/15 × 5 = 10/15 = 2/3

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you randomly draw 2 cards from a standard deck of 52 cards. what is the probability you draw a heart, don't replace it, and pull a club?

PLEASE ANSWER BY 7:00AM Pacific Standard Time!!!!!! 17 pointz

Answers

Step-by-step explanation:

There are 52 cards and  13 are hearts

   first card heart is then 13 /52 = 1/4 chance

      now there is only 51 cards and 13 are clubs

          second card club is then 13 / 51 chance

13/52   * 13/ 51 = 169 / 2652    = 13/204 = .0637  chance of Heart - Club

Complete the square to write an equation in general form of 4x2 – 9y2 + 24x + 18y – 9 = 0 in the standard form shown below, and then identify the key features of the graph.

h = center: (, )
k =
a = slope of asymptote:
b =

Answers

The equation is now in the standard shape of a hyperbola, as per the provided assertion. [(x - h)² / a²] - [(y - k)² / b²] = 1

What, in plain words, is a hyperbola?

A curve formed by the junction of a double right-angled cone and a plane that slices one half of the cone. a plane curve produced by a point so mobile that the difference between its distance from two fixed locations is a constant.

To complete the square for the given equation, we will group the x and y terms and complete the square separately for each.

4x² + 24x - 9y² + 18y - 9 = 0

4(x² + 6x) - 9(y² - 2y) = 9

4(x² + 6x + 9 - 9) - 9(y² - 2y + 1 - 1) = 9

4(x + 3)² - 9(y - 1)² = 36

Dividing by 36, we get:

(x + 3)² / 9 - (y - 1)² / 4 = 1

So, the equation is now in the standard form of a hyperbola:

[(x - h)² / a²] - [(y - k)² / b²] = 1

where h and k are the coordinates of the center, a is the distance from the center to the vertices along the x-axis, b is the distance from the center to the vertices along the y-axis, and the slope of the asymptotes is b/a.

Comparing with the standard form, we can see that:

h = -3, k = 1, a = 3, b = 2, and the slope of the asymptotes is b/a = 2/3.

The center is (-3, 1). The hyperbola opens horizontally, and its vertices are located at (-3 + a, 1) and (-3 - a, 1). So, the vertices are (-6, 1) and (0, 1).

The asymptotes are two straight lines passing through the center with a slope of ±(b/a) = ±2/3. So, the equations of the asymptotes are y - 1 = (2/3)(x + 3) and y - 1 = -(2/3)(x + 3), which simplify to y = (2/3)x + 5/3 and y = -(2/3)x + 1/3.

The distance between the center and the foci is c = sqrt(a² + b²) = √(13). The foci are located at (-3 + c, 1) and (-3 - c, 1). So, the foci are approximately (-0.16, 1) and (-5.84, 1).

The graph of the hyperbola looks like two mirrored U-shaped curves, with the vertices being the endpoints of the transverse axis.

The asymptotes intersect at the center and divide the hyperbola into four parts, called branches. The foci are located on the transverse axis, inside the branches.

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Use the distributive property to solve 4 2/5 x 10. Where 4 2/5 is a fraction. Please show work so I can explain. Thank you.

Answers

Answer:

Step-by-step explanation:it will be 44/1 = 44

Since 4 2/5 x 10

We will use 10 as 10/1

and 4 2/5 as 22/5 so

22/5 x 10/1 we cross out the 5 and 10 since there a factor of each other

then it will be 22/1 x 2/1 it will be much easier

Then 22 x 2 = 44

1x1 = 1

=44/1 = 44


What is the standard equation of a circle whose center is (-3, 5) and radius is 2?

Answers

Answer:

Step-by-step explanation:
The standard equation of a circle with center (a, b) and radius r is:

(x - a)^2 + (y - b)^2 = r^2

Using the given values, we have:

(x - (-3))^2 + (y - 5)^2 = 2^2

Simplifying:

(x + 3)^2 + (y - 5)^2 = 4

Therefore, the standard equation of the circle is (x + 3)^2 + (y - 5)^2 = 4.

Answer:

[tex] (x + 3)^2 + (y - 5)^2 = 4 [/tex]

Step-by-step explanation:

[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]

[tex] (x - (-3))^2 + (y - 5)^2 = 2^2 [/tex]

[tex] (x + 3)^2 + (y - 5)^2 = 4 [/tex]

The ships kitchen stocks 1 3/5 quarts of ice cream for every 1/4 cake. There are 10 cakes in the kitchen. How many quarts of ice cream are there?


Please explain if you really really know the answer

Answers

Therefore , the solution of the given problem of unitary method comes out to be the pantry has 16 quarts of ice cream.

What is an unitary method?

The goal can be achieved by making use of what has expression learned to date, utilizing this global access, and incorporating all crucial elements from previous changeable study that employed a specific technique. It is going to be equation possible to get in touch with the entity again if the expected claim result actually happens, or both crucial processes will surely miss the statement. A Rs ($1.21) redeemable fee may be needed for fifty pens.

Here,

Finding the overall quantity of cake in the kitchen is a good place to start. If there are 10 pastries, each measuring 1/4 inch, then there will be:

=> 10 desserts divided by 1/4 each equals the total cake.

=> Cake total equals 10/4 cakes.

=>  2.5 pastries altogether

=>  1 3/5 pints of ice cream for every 1/4 cake.

=>  8 and a half pints of ice cream per 1/4 cake

To determine the total amount of ice cream, we can multiply the ice cream per cake by the total number of cakes:

=>  Total ice cream equals the sum of the cakes' ice cream.

=>  Total ice cream =  (8/5 quarts per 1/4 cake) * (10/4 cakes)

=> Total ice cream = 16 quarts

Consequently, the pantry has 16 quarts of ice cream.

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