plzz answer fastt i need the answer

Answer:

Step-by-step explanation:

Remember that

Area of Circle = \(\pi r^2\)

\(\pi = pi \\r = radius\)

They told us that for this circle, the area is \(144\pi m^2\)

If you put it back into the formula for area of a circle we get:

Area of Circle = \(\pi r^2\)

\(144\pi = \pi r^2\)

Divide both sides by \(\pi\).

144 = \(r^2\)

Now we want to solve for r (r = radius).

You need to square root each side

\(\sqrt{144} = \sqrt{r^2}\)

\(12 = r\)

So now we know the radius, \(r = 12\) metres

Also remember that

Diameter = \(2r\)

So,

Diameter = 2 times 12 = 24 metres

The required diameter of the given circle is 24 meters.

The area of the circle is given by the pie times square of the radius.

Area of circle = πr^2

Here,
The given area of the circle is 144π m²
And we know that,
Area = πr²

substitute the value of the area in the above expression,

144π = πr²
r² = 144
r = √144
r = 12 meters

Since,
Diameter = 2 × radius
Diameter = 2 × 12 = 24 meter

Thus, the required diameter of the given circle is 24 meters.

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ANSWER

The short piece is 10 meters long and the long piece is 33 meters long

EXPLANATION

Let the length of the shorter piece be x.

Let the length of the longer piece be y.

We have that the total length of the banner is 43 meters. This means that:

x + y = 43 ___(1)

The short piece is 23 meters shorter than the long piece. This means that:

x = y - 23 _____(2)

Now, we have a system of two simultaneous equations:

x + y = 43

x = y - 23

We can solve this by substitution.

Substitute the second equation into the first equation.

That is:

y - 23 + y = 43

Collect like terms:

y + y = 43 + 23

2y = 66

Divide through by 2:

y = 66 / 2

y = 33 m

Recall that:

x = y - 23

Therefore:

x = 33 - 23

x = 10 m

Therefore, the short piece is 10 meters long and the long piece is 33 meters long.

The recurrence relation of the running time for a recursive algorithm, prove by induction that T(n)=O(nlog

3 /2 + log₃((k + 1)/3))

       = (k + 1)(3/2 + log₃(k + 1) - log₃(3))

To prove by induction that T(n) = O(nlog₃(n)), we will first establish a base case and then assume the hypothesis for n and prove it for n + 1.

Base Case:

For n = 3, T(3) = 2T(3/3) + 3 = 2T(1) + 3 = 2(10) + 3 = 23.

Assumption:

Let's assume that for some k ≥ 3, T(n) ≤ cnlog₃(n) holds for all n ≤ k.

Inductive Step:

Now, we need to prove that T(n) ≤ cnlog₃(n) holds for n = k + 1.

T(k + 1) = 2T((k + 1)/3) + (k + 1)

Using the assumption, we have:

T(k + 1) ≤ 2c((k + 1)/3)log₃((k + 1)/3) + (k + 1)

We can simplify the logarithm using the change of base formula:

log₃((k + 1)/3) = logₓ((k + 1)/3) / logₓ(3)

Let's choose x = (k + 1)/3, so logₓ(3) = 1. Thus, we have:

log₃((k + 1)/3) = logₓ((k + 1)/3)

Substituting this back into the inequality, we get:

T(k + 1) ≤ 2c((k + 1)/3)logₓ((k + 1)/3) + (k + 1)

Expanding further:

T(k + 1) ≤ 2c(k + 1)logₓ((k + 1)/3) / 3 + (k + 1)

       = (2c / 3)(k + 1)logₓ((k + 1)/3) + (k + 1)

Since logₓ((k + 1)/3) is positive and (2c / 3)(k + 1) is also positive, we can simplify the inequality further:

T(k + 1) ≤ (2c / 3)(k + 1)logₓ((k + 1)/3) + (k + 1)

       ≤ (2c / 3)(k + 1)logₓ((k + 1)/3) + (k + 1)logₓ((k + 1)/3)

       = (k + 1)(2c / 3 + logₓ((k + 1)/3))

Now, let's choose c such that 2c / 3 ≥ 1. This ensures that (2c / 3 + logₓ((k + 1)/3)) ≥ 1.

Choosing c = 3/2 satisfies the condition. Therefore, we have:

T(k + 1) ≤ (k + 1)(2c / 3 + logₓ((k + 1)/3))

       ≤ (k + 1)(3/2 + logₓ((k + 1)/3))

       = (k + 1)(3/2 + logₓ((k + 1)/3))

       = (k + 1)(3/2 + log₃((k + 1)/3))  [since x = (k + 1)/3]

By simplifying further, we obtain:

T(k + 1) ≤ (k + 1)(3

/2 + log₃((k + 1)/3))

       = (k + 1)(3/2 + log₃(k + 1) - log₃(3))

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a) Equating expressions of the total costs for Printing Service 1 and 2, a system of equations the principal can use to compare the charges of the two printing services are:

25 + 0.34x

30 + 0.27x.

b) Based on the system of equations, the number of bags that would make the total cost the same for each printing service is approximately 71.

c) The total cost for each printing service plan when 71 bags are printed is $49.

A system of equations is two or more equations solved simultaneously, concurrently, or at the same time.

                                        Printing 1     Printing 2

Fixed service fee                 $25             $30

Service charges per bag    $0.34          $0.27

Let the number of bags = x

25 + 0.34x ... Expression 1

30 + 0.27x ... Expression 2

For the total cost of both services to be the same, we equate the two expressions as follows:

25 + 0.34x = 30 + 0.27x

-5 = -0.07x

x = 71.43

= 71 bags

The total cost for Printing 1:

25 + 0.34x

= 25 + 0.34(71.43)

= $49.29

= $49

The total cost for Printing 2:

30 + 0.27x

= 30 + 0.27(71.43)

= $49.29

= $49

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Answer:

(-0.5, 0.5)

Step-by-step explanation:

midpoint formula:

[(x₁ + x₂) / 2] , [(y₁ + y₂) / 2]

[(9/2 - 11/2) / 2], [(3/8 + 5/8) / 2]

[(-1) / 2], [(1) / 2]

(-0.5, 0.5)

Answer:

109.5cm²

Step-by-step explanation:

The formula to this equation is SA = 2lw + 2lh + 2wh

So...

SA = 2(11 x 9) + 2(11 x 6) + 2(9 x 6)

= 49.5 + 33 + 27

= 109.5cm²

There are 92,378 different assignments of pollsters to houses where two pollsters will canvas a neighborhood with 20 houses.

There are 20 houses to choose from for the first pollster, and then 19 houses remaining for the second pollster.

However, since the order in which the pollsters visit the houses does not matter, we need to divide by the number of ways of arranging the 10 houses that each pollster will visit evaluated using probability.

Therefore, the total number of different assignments of pollsters to houses is:

(20 choose 10) * (10 choose 10) / 2! = (184,756) * (1) / 2 = 92,378

So there are 92,378 different assignments of pollsters to houses.

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Answer:

he is buying it for 11.25. you get this buy multiplying 15 by 25% which equals 3.75 then you subtract 15 by 3.75 and you get 11.25

hope it helps

please mark as brainliest

Step-by-step explanation:

Answer:

11.25$

Step-by-step explanation:

A) the area of a rectangle with side lengths of 6 and 4 units is:Area = length × widthArea = 6 units × 4 unitsArea = 24 square units. B) we can use rectangular areas to help us solve mathematical problems.

a) Let's consider a rectangle with side lengths of 6 and 4 units. We can find the area of the rectangle by tiling it. To do this, we can divide the rectangle into unit squares, which means 24 squares altogether.

This shows that the area of the rectangle is 24 square units.We can also use multiplication to find the area of the rectangle. The area of a rectangle is found by multiplying the length by the width.

Therefore, the area of a rectangle with side lengths of 6 and 4 units is:Area = length × widthArea = 6 units × 4 unitsArea = 24 square units

Therefore, we see that both the tiling method and the multiplication method give the same answer.

b) When solving real-world and mathematical problems that involve rectangles, we often need to find their areas. To do this, we can multiply the length and width of the rectangle.

For example, consider a rectangle with a length of 7 feet and a width of 5 feet. To find the area of this rectangle, we can multiply 7 by 5. Therefore, the area of the rectangle is:Area = length × widthArea = 7 feet × 5 feetArea = 35 square feetWe can also represent whole-number products as rectangular areas in mathematical reasoning.

For example, if we know that the area of a rectangle is 20 square units and one side length is 4 units, we can use this information to find the other side length. We can reason that if the area is 20 square units and one side length is 4 units, the other side length must be 5 units, since 4 × 5 = 20.

Therefore, we can use rectangular areas to help us solve mathematical problems.

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Answer:

We can use equivalent ratios to solve this problem.

We know that 3 pounds of potatoes makes 8 servings of mashed potatoes.

This can be expressed as a ratio: 3 pounds of potatoes : 8 servings of mashed potatoes

We can use this ratio to find the number of servings of mashed potatoes that 12 pounds of potatoes would make.

To do this, we'll keep the ratio of potatoes to servings of mashed potatoes the same, while scaling up the quantity of potatoes.

We can start by cross multiplying:

3 pounds of potatoes * x servings of mashed potatoes = 8 servings of mashed potatoes * 12 pounds of potatoes

3 * x = 8 * 12

Next, we'll solve for x by dividing both sides of the equation by 3

x = 8*12/3

x = 32

So, 12 pounds of potatoes would make 32 servings of mashed potatoes.

This answer is correct because the ratio of potatoes to servings of mashed potatoes is the same in both cases and we just scaled up the quantity of potatoes while keeping the ratio the same.

Answer:

3,675 people

Step-by-step explanation:

First row, a = 20

Common difference, d = 5

number of terms, n = 35

Sn = n/2 {2a + (n - 1)d}

= 35/2 {2*20 + (35 - 1)5}

= 35/2 {40 + ( 34)5}

= 17.5(40 + 170)

= 17.5(210)

= 3,675 people

The answer is actually 3675.

My reasoning: Plug it in and you shall see!

The data analytics life cycle is represented by this activity is Data reporting. So, the correct answer is D).

The activity of finding the average estimate for Symteco over the past three years represents the phase of data reporting in the data analytics life cycle. Data reporting involves analyzing and summarizing the collected data to extract meaningful insights and communicate the findings to stakeholders.

In this case, the data analyst is presenting the average estimate of Symteco, which is a key metric of interest. Data reporting includes creating reports, visualizations, or dashboards to effectively communicate the analyzed data and provide actionable insights to support decision-making.

It is an essential step to convey the results of data analysis and enable stakeholders to make informed decisions based on the findings. So, the correct option is A).

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--The given question is incomplete, the complete question is given below "  the data analyst is asked to find the average estimate for symteco over the past three years. Which phase of the data analytics life cycle is represented by this activity?

A. Data acquisition

B. Exploratory data analysis

C. Predictive modeling

D. Data reporting"--

Answer:50

Step-by-step explanation:

50 , middle school students preferred espresso-flavored frozen yogurt.

The circle was created so the percentage of the total circle is 100%

Therefore, the sum of percentages of frozen yogurt flavors is 100

Dutch chocolate + country vanilla + sweet coconut + espresso + cake batter =100

Given,

Dutch chocolate = 21.5 percent,

country vanilla = 28.5 percent,

sweet coconut = 13 percent,

espresso = x (say),

cake batter = 27 percent

substituting in above we get x

21.5+28.5+13+x+27=100

90+x=100

x=100-90

x=10

Therefore, espresso = 10 percent

Total students = 10% of 500

=50

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Answer:

Step-by-step explanation:

Answer:

The breadth of the room is 6 metres

Answer:

Step-by-step explanation:

Side of a tile= a  = 0.75 m

Area of one square tile = a²  = (0.75)² = 0.5625 m²

Area of 96 square tiles = 0.5625 * 96

Area of the room =  area of 96 square tiles

length * breadth = 0.5625 * 96

9 * breadth = 0.5625 * 96

     breadth = \(\frac{0.5625*96}{9}\\\\\)

      breadth = 6 m

The deepest to highest creatures are in order flounder, bluefish, clam, hermit crab according to sea level.

What is sea level?

The average surface level of one or more of the coastal bodies of water on Earth is known as mean sea level, and it can be used to measure heights like elevation.

Main Body:

a) As the value for flounder is most negative , so we can say that it is found at the greatest depth .

after which bluefish is found .

the  value of clam is less positive than hermit crab so it is found after bluefish and at last hermit crab

Hence the order is like :  Flounder > bluefish > clam > hermit crab .

b)The difference between the depth at which bluefish and hermit crab are found is 5ft.

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Answer:

A=4 ft

Midline: y=14

Step-by-step explanation:

When talking about sinusoidal waves, we know the amplitude will be the distance between the midline and the highest or lowest point of the graph. This can be found by first, finding the distance between the lowest point and the highest point:

d= 18ft - 10ft = 8ft

and divide this distance into 2:

\(A=\frac{8}{2}\)

A= 4 ft

in order to find the midline, we need to figure the midpoint between the highest and lowest value. We can do so by using the following formula:

\(Midpoint=\frac{high+low}{2}\)

so:

\(Midpoint=\frac{18+10}{2}\)

Midpoint = 14

so the midline is located at the line:

y=14

Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.

Given the system of equation expressed as:

3x + y = 3

x - 2y = 4

Solve simultaneosly;

3x + y = 3 ............. 1 * 1

x - 2y = 4 ...............2 * 3

_________________________

3x + y = 3

3x - 6y = 12

Subtract

y-(6y) = 3 - 12

7y = -9

y = -9/7

Substitute y = -9/7 into the equation to get x

x - 2y = 4

x - 2(-9/7) = 4

x + 18/7 = 4

x = 4 -  18/7

x = 3/7

Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.

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Answer: 274 degrees.

Step-by-step explanation:

If the temperature in an oven increases by 8 degrees every minute, then in 3 minutes the temperature will increase by 8 x 3 = 24 degrees.

Therefore, the temperature in the oven after 3 minutes will be:

250 + 24 = 274 degrees.

Answer:

Below

Step-by-step explanation:

(3x-1)(3x-1)  =  9x^2 -3x -3x+1 = 9x^2 -6x +1

Answer: -1-1i and -1+1i

Step-by-step explanation:

Answer:

0.0111001100110011......

Step-by-step explanation:

9/20 = 0.45

now multiply 0.45 * 2 = 0.90 = keep 0
then multiply 0.90 * 2 = 1.80 = keep 1
then multiply 0.80 * 2 = 1.60 = keep 1
then multiply 0.60 * 2 = 1.20 = keep 1
then multiply 0.20 * 2 = 0.40 = keep 0
then multiply 0.40 * 2 = 0.80 = keep 0
then multiply 0.80 * 2 = 1.60 = keep 1
then multiply 0.60 * 2 = 1.20 = keep 1
then multiply 0.20 * 2 = 0.40 = keep 0

this will keep going on until we get 0.00 or 1.00
In this case, it's not possible.

So it's the answer 0.0111001100110011......

Answer:

5/14

Step-by-step explanation:

The probability of drawing a particular coloured card is the number of cards that are that colour, divided by the total number of cards:

The probability of drawing a blue card on your first draw would be 5 out of (5 + 3) = 5/8

The next draw would be the same principle, but the denominator (bottom number of the fraction) would be 1 less, because you have just taken out 1 card on your first draw:

The probability of drawing a blue card on your second draw (after drawing a blue card first) would be 4 (since you have already taken one) out of (8 - 1) = 4 / 7

To find the probability of both these steps combined, you multiply the two fractions together:

5/8 x 4/7 = 20/56

The question asks you to simplify, which means that the final answer is 5/14

Hope this helps!

The shortest length of fabric, in inches, Kirk could use to make the tablecloth without putting any separate pieces of fabric together is 138 inches.

Let us find out the shortest length of fabric, in inches, Kirk could use to make the tablecloth without putting any separate pieces of fabric together.

For the tablecloth, the diameter of the circular table is 3 feet which means the radius of the circular table is given by;

Radius of the circular table = Diameter / 2 = 3 / 2 = 1.5 feet

Since Kirk wants to make the tablecloth to hang down 5 inches over the edge of the table all the way around, then the total diameter of the tablecloth is given by;

Total diameter of tablecloth = 3 feet + 5 inches + 5 inches = 3 feet 10 inches = 3.83 feet

For a single piece of rectangular fabric that is 60 inches wide, we will find out the shortest length of fabric that Kirk could use to make the tablecloth without putting any separate pieces of fabric together as shown below;

We will draw a rectangle with width 60 inches and length L inches, where L represents the length of the rectangular piece of fabric.

The area of the rectangular piece of fabric is given by;

Area of rectangular piece of fabric = Width × Length= 60 inches × L inches= 60L square inches

However, to make the tablecloth, Kirk needs a circular piece of fabric. The total diameter of the circular piece of fabric is 3.83 feet.

Therefore, the radius of the circular piece of fabric is given by;

Radius of the circular piece of fabric = Diameter / 2= 3.83 / 2 = 1.92 feet

The circumference of the circular piece of fabric is given by;

Circumference of circular piece of fabric = 2πr= 2 × π × 1.92 feet= 12.05 feet

To ensure that the tablecloth hangs down 5 inches over the edge of the table all the way around, Kirk will fold under and sew down 1 inch of the material all around the edge.

Hence, the diameter of the tablecloth will be reduced by 2 inches.

The diameter of the circular piece of fabric required is;

Diameter of circular piece of fabric required = 3.83 feet - 2 × 1 inch = 3.67 feet

Therefore, the radius of the circular piece of fabric required is given by;

Radius of the circular piece of fabric required = Diameter / 2= 3.67 / 2 = 1.83 feet

Hence, the circumference of the circular piece of fabric required is given by;

Circumference of circular piece of fabric required = 2πr= 2 × π × 1.83 feet= 11.5 feet

We need to ensure that the length of the rectangular piece of fabric is not less than the circumference of the circular piece of fabric required. That is;

L ≥ Circumference of circular piece of fabric required

L ≥ 11.5 feet × 12 inches / foot = 138 inches

Thus, the shortest length of fabric is 138 inches.

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Answer:

2nd option

Step-by-step explanation:

given an exponential function in the form y = a\(b^{x}\)

to find a and b use the coordinate points it passes through

using (0, 4 ) , then

4 = a\(b^{0}\) [ \(b^{0}\) = 1 ] , that is

a = 4 , so

y = 4\(b^{x}\)

using (2, 100 )

100 = 4b² ( divide both sides by 4 )

25 = b² ( take the square root of both sides )

\(\sqrt{25}\) = b , that is

b = 5

then exponential function is

y = 4 . \(5^{x}\)

The expected number of students participating in each activity would be:

Playing: 45 students

Reading story books: 30 students

Watching TV: 20 students

Listening to music: 10 students

Painting: 15 students

To determine the number of students expected to participate in each activity, you can calculate the percentage of students engaging in each activity and then apply that percentage to the total student population of 2,000.

Playing: 45 students

Percentage: (45 / 2,000) x 100% = 2.25%

Expected number of students: 2.25% of 2,000 = 45

Reading story books: 30 students

Percentage: (30 / 2,000) x 100% = 1.5%

Expected number of students: 1.5% of 2,000 = 30

Watching TV: 20 students

Percentage: (20 / 2,000) x 100% = 1%

Expected number of students: 1% of 2,000 = 20

Listening to music: 10 students

Percentage: (10 / 2,000) * 100% = 0.5%

Expected number of students: 0.5% of 2,000 = 10

Painting: 15 students

Percentage: (15 / 2,000) x 100% = 0.75%

Expected number of students: 0.75% of 2,000 = 15

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Answer:

A) 50

Step-by-step explanation:

1. Calculate the cost of one cubic meter

\(20/4 = 5\)

2. Determine the amount

(10)(5) = $50

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