A circle has a radius of 50 cm. Which of these is the closest to its area?
157 cm squared
314 cm squared
7,854 cm squared
15,708 cm squared

Answer:

x=3102.5/8.5 is your answer

Step-by-step explanation:

Answer:About 14 to 15 inches

Step-by-step explanation:

Answer:

Step-by-step explanation: First you must do 70 subtracted by 13 then you have your answer for x.

The equation is graphed in this figure is y - 5 = 3(x - 1).

From the graph:

points are (0, 2) , (1, 5) , (-2, -4) and (-3, -7).

slope between two points (0, 2) and (1, 5) is m = y2 - y1/x2 - x1

= 5 - 2 / 1 - 0

= 3/1

m = 3.

we know that line equation is y - y1 = m(x - x1)

y - 2 = 3(x - 0)

3x - y + 2 = 0.

option 4 is correct because y - 5 = 3(x - 1) ≅ 3x - y + 2 = 0.

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Answer:

Operations on Complex Numbers (page 2 of 3) ... Simplify (2 – i)(3 + 4i). (2 – i)(3 + 4i) = (2)(3) + (2)(4i) + (–i)(3) + (–i)(4i). = 6 + 8i – 3i – 4i2 = 6 + 5i – 4(–1) ... exact same techniques for simplifying complex-number expressions as you do for polynomial ... Suppose you have the following exercise:

Step-by-step explanation:

1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.

2)The snow days to days ratio is 20:1

3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.

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1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.

2)The snow days to days ratio is 20:1

3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.

Define ratio?

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Answer:

6 pounds and 15 ounces

Step-by-step explanation:

Since 1 pound is equal to 16 ounces you divide 111 by 16 and get 6 remainder 15 which is basically 6 pounds and 15 ounces. Hope this helps!

Answer:

Joseph's present age=3 yrs

David's present age=9 yrs

Step-by-step explanation:

Let Joseph's present age be x.

David's present age=3x

__________________

Ater 3 yrs,

Joseph's age=x+3

David's age=2(x+3)

Also, we can add 3 to David's present age to get age After 3 yrs. So, David's age after 3 yrs would also be 3x+3.

Now, balance them.

3x+3=2(x+3)

3x+3=2x+6

x=3

D"s prsent age=9

J's present age=3

Answer:

The final answer is 78 inches, though I would recommend for you to read through the steps of how this is achieved.

Step-by-step explanation:

To start, to grasp the corresponding sides deal, think of it as saying Quad 1234 is equal to Quad ABCD. Now, it is fairly easy to make up the sides between the two shapes. With this, the following is true:

Side 12 ≅ Side AB

Side 23 ≅ Side BC

Side 34 ≅ Side CD

With the end, it loops back around to meet back at the first edge of the shape again, if you're looking for a side length.

Side 41 ≅ Side DA

Now, with the real stuff. We're greeted with the Quads DEFG and KLMN, and asked to find FG. Looking at it, FG would be using the 3rd and 4th letters of the set of quad edges. Comparing this to the other quad shape, the 3rd and 4th letters are MN. Therefore, lets use this.

Next, set these equal to each other. FG is 5y+3 and MN is 7y-27

5y+3 = 7y-27

5y = 7y-30

-2y = -30

2y = 30

y = 15

y equals 15.

Lastly, plug this into the equation for FG to get the final answer.

5(15)+3

75+3

78 inches

A. The total value of the loan with quarterly compounded interest is $52,400.

B. The total value of the loan with monthly compounded interest is $52,010.04

Part A: Total value of the loan with the quarterly compounded interest

To find the total value of the loan, we'll use the formula for compound interest:

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

Where:

A = final amount (loan + interest)

P = principal amount (initial loan) = $20,000

r = interest rate = 7% = 0.07

n = number of times compounded per year = 4 (quarterly)

t = number of years = 10

Plugging in the values, we get:

A = $20,000 * (1 + 0.07/4)^(4 * 10)

A = $20,000 * (1.0175)^40

A = $20,000 * 2.620075

A = $52,401.51

Rounding to the nearest hundred, the total value of the loan with quarterly compounded interest is $52,400.

Part B: Total value of the loan with the monthly compounded interest

To find the total value of the loan with monthly compounded interest, we'll use the same formula with a different value of n:

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

Where:

n = number of times compounded per year = 12 (monthly)

Plugging in the values, we get:

A = $20,000 * (1 + 0.07/12)^(12 * 10)

A = $20,000 * (1.005833)^120

A = $20,000 * 2.600502

A = $52,010.04

Rounding to the nearest hundredth, the total value of the loan with monthly compounded interest is $52,010.04

The difference between the two loans is $52,401.51 - $52,010.04 = $391.47

The difference between the two loans is due to the higher frequency of compounding in the monthly compounded interest loan. The interest is compounded more times per year, so the interest is accumulating on the interest more quickly, leading to a higher overall interest charge.

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The value of g, for a  30-sided regular polygon has an angle measure represented as 6g° is calculated to be 28

The problem is solved using the formula for number of angles for n sided polygon

The formula is (n - 2)180

where n = number of sides

for 30-sided polygon the angles is solved as below

= (n - 2)180

= ( 30 - 2 ) * 180

= 28 * 180

= 5040

this is represented as 6g

each angle is measured 5040 / 30 = 168

6g = 168

g = 28

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Answer: 28

Step-by-step explanation: 168 is the whole polygon, so 6 times 28 is 168 therefore its correct, btw i also did the test

Answer:

18n + 9

Step-by-step explanation:

Distribute 9 into the expression.

9*2n = 18n

9*1 = 9

18n + 9

Answer:

The MEDIAN, 4.5 hours, is the best measure of center, so the IQR is the best measure of variability.

McKennas conclusion IS NOT accurate.  The mode of her data IS 6 hours.  However, MORE than half of the time, she spends LESS than 6 hours riding her horse.  It would be more accurate to say that Mckenna typically rides her horse between 2.5 and 6 hours.

Step-by-step explanation:

Put the values in order of smallest to largest:

0, 2, 2, 2.5, 2.5, 3, 4, 5, 6, 6, 6, 8, 9, 10

Median (middle value) = (4 + 5)/2 = 4.5

Lower quartile Q1 = 2.5

Upper quartlie Q3 = 6

IQR = Q3 - Q1 = 3.5

Mode (value that occurs most often) = 6

Mean (average) = sum of values ÷ number of values = 4.7

Range (difference between the highest and lowest values) = 10 - 0 = 10

Median is the best measure of the center since it isn't influenced by extreme values.

IQR is less affected by outliers and extreme values. It gives a consistent measure of variability for skewed data.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

The MEDIAN, 4.5 hours, is the best measure of center, so the IQR is the best measure of variability.

McKennas conclusion IS NOT accurate.  The mode of her data IS 6 hours.  However, MORE than half of the time, she spends LESS than 6 hours riding her horse.  It would be more accurate to say that Mckenna typically rides her horse between 2.5 and 6 hours.

The correct number line that displays the solution `x ≥ 3` would be:

 <------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------>

       -10    -9     -8     -7     -6     -5     -4     -3     -2     -1     0      1      2      3      4      5      6      7      8      9     10

                                   ●------------------------------------------------>

The solution `x ≥ 3` is an inequality that means x is greater than or equal to 3. To graph this inequality on the number line, we mark the point representing the value 3 with a closed circle on the number line and draw an arrow pointing to the right to indicate that all values greater than or equal to 3 satisfy the inequality.

The closed circle at 3 indicates that 3 is included in the solution set, and the arrow to the right indicates that all values greater than 3 also satisfy the inequality. Therefore, any value of x that is equal to or greater than 3 would be considered a solution to the inequality `x ≥ 3`.

It is important to note that if the inequality was `x > 3` (without the equal sign), the closed circle at 3 would be changed to an open circle, indicating that 3 is not included in the solution set, and only values greater than 3 would be considered solutions. In conclusion, the number line provided above correctly displays the solution `x ≥ 3`.

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Answer:

There are two intersections.

(-3,1) and (-1,-3)

Step-by-step explanation:

Answer:

They intersect at (-3,1), and also (-1,-3)

Step-by-step explanation:

Graph:

Find the amount of the markup by subtracting:

76-39 = $37

Divide the amount of the mark up by the purchase price:

37/39 = 0.948 x 100 = 94.8%

Answer: 94.8 %. Round the answer as needed.

Answer:

\(C = (30,500)\)

Step-by-step explanation:

Given

\(Area = 1800ft^2\)

\(A = (6,0)\)

\(B = (0,25)\)

\(C(x,y) = (30,y)\)

Required

Determine the coordinates of C

The area of triangle is calculated as thus:

\(Area = \frac{|A_x(B_y - C_y) + B_x(C_y - A_y) + C_x(A_y - B_y)|}{2}\)

This gives:

\(1800= \frac{|6(25 - y) + 0(y - 0) + 30(0 - 25)|}{2}\)

\(1800= \frac{|6(25 - y) + 30(0- 25)|}{2}\)

\(1800= \frac{|6(25 - y) + 30(-25)|}{2}\)

\(1800= \frac{|150 - 6y -750 |}{2}\)

\(1800= \frac{|150 -750- 6y |}{2}\)

\(1800= \frac{|-600- 6y |}{2}\)

Multiply through by 2

\(2 * 1800= |-600- 6y|\)

\(3600= |-600- 6y|\)

\(3600= |-(600+ 6y)|\)

\(3600= 600+ 6y\)

Solve for 6y

\(6y = 3600 - 600\)

\(6y = 3000\)

Solve for y

\(y = 3000/6\)

\(y = 500\)

Hence:

The point is:

\(C = (30,500)\)

Carlos read 29 pages on Thursday.

So Let, the pages read by Carlos on Thursday and Friday be x as on Thursday and Friday he read the same number of pages.

Now, solve the equation fr x as follows:

So, Carlos read 29 pages on Thursday and Friday.

Therefore, Carlos read 29 pages on Thursday.

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Answer:

more because it is 9 pitchers and 4/7 of energy drink in each

By doing a change of units, we know that he will need 40 pint jars to hold the whole volume of sauce.

We know that Joe makes tomato sauce to sell at a craft fair, and we know that he did make that sauce in 5-gallon batches.

We want to see how many jars do he need to hold these 5 gallons, so we need to perform a change of units.

Remember the relation:

1 gallon  = 8 pints.

So, for each gallon, he will need 8 pint jars, then for the 5 gallons, he will need:

5*8 pint jars = 40 pint jars.

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The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

From the question, we have the following parameters that can be used in our computation:

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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Answer:

1) 1 hour

2) 1 hour

3) 2 hours

Step-by-step explanation:

1 hour = 60 minutes

Therefore,

7/8 of an hour implies 7/8 of 60 minutes

7/8 * 60 = 420/8 = 52.5 Mins

52.5 is closest to an hour

5/6 of an hour implies 5/6 of 60 minutes

5/6 * 60 = 50 = 50 Mins

50 is closest to an hour

An hour + Anhour = 2 hours

Total: 2 hours

Given

Answer

Answer:

Ximena can use 1 gigabytes of data

Step-by-step explanation:

The first thing you want to do is subtract

51.10 - 44.50 =  5.6

5.6 is the amount of money she will have to spend on data

With each gigabyte costing 4 dollars and only 5 dollars to spend

she can only use one gigabyte

Using the linear function given in this problem, the formula underestimates the median weekly earnings in 2013 by $3, as 657 < 660.

The function that estimates the median weekly earnings n years after 1980 is:

W = 13n + 231.

2013 is 2013-1980 = 33 years after 2000, hence the estimate is given by W when n = 33, that is:

W = 13 x 33 + 231 = 660.

657 < 660, hence the formula underestimates the median weekly earnings in 2013 by $3.

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Answer:

3,600,000,000

Step-by-step explanation:

if i understood this correctly, you just multiply 100,000,000 by 36 and you're done

If m/n is the probability that you do not eat green candy after you eat a red candy, then m + n is 6.

A bag contains 8 green candies and 4 red candies. If you eat five candies, there are relatively prime positive integers m and n so that m/n is the probability that you do not eat green candy after you eat a red candy. Below list the ways to accomplish this ordering along with their respective probabilities:

GRRRR : \(\frac{8}{12}\times\frac{4}{11} \times\frac{3}{10} \times\frac{2}{9} \times\frac{1}{8}\)

GGRRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{4}{10} \times\frac{3}{9} \times\frac{2}{8}\)

GGGRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{4}{9} \times\frac{3}{8}\)

GGGGR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)

GGGGG : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)

The sum is \(\frac{8\times3\times4(2+14+42+70+70)}{12.11.10.9.8}\)

Probability that you do not eat green candy after you eat a red candy =\(\frac{1}{5}\)

so m = 1 and n = 5

m + n =6

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According to the information, the perimeter of the triangle is ≈ 31.18

To find the distance between two points, we can use the distance formula:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Let's label the coordinates as follows:

Point 1: (-2, 3)

Point 2: (3, -2)

Now we can substitute these values into the distance formula:

distance = sqrt((3 - (-2))^2 + (-2 - 3)^2)

distance = sqrt((5)^2 + (-5)^2)

distance = sqrt(25 + 25)

distance = sqrt(50)

distance ≈ 7.07

Therefore, the distance from (-2, 3) to (3, -2) is approximately 7.07 units.

To find the perimeter of the triangle, we need to find the length of all three sides of the triangle and then add them up.

Using the distance formula, we can find the length of the sides:

Side 1: (-2,3) to (3,-2)

d = √[(3 - (-2))^2 + (-2 - 3)^2]

= √[5^2 + (-5)^2]

= √50

= 5√2

Side 2: (3,-2) to (-7,-2)

d = √[(-7 - 3)^2 + (-2 - (-2))^2]

= √[(-10)^2 + 0^2]

= 10

Side 3: (-7,-2) to (-2,3)

d = √[(-2 - (-7))^2 + (3 - (-2))^2]

= √[5^2 + 5^2]

= 5√2

Therefore, the perimeter of the triangle is:

5√2 + 10 + 5√2 = 15√2 + 10 ≈ 31.18 (rounded to two decimal places)

An two of the three sides are equal, so it is an isosceles triangle.

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