What is the area of one of the blue half circles? HINT: Remember, Area = pi x radius squared. So you will need to use the 40 (this is the diameter so make sure you find the radius). Then since you only want a half circle, you will need to divide it by 2.

The school is going to put grass on both semicircles of the field. How much grass will they need to cover the entire circle? HINT: You found one of the circles in #1, you need both of them now.









What is the distance around one of the semicircles at either end of the soccer field? HINT: You need circumference, which is pi x d. So you will need 40 and pi. Since you only want one, you will need to divide by 2.












What is the distance around the inner lane of the track? (You will want to use circumference and then the length of the field). HINT: You need circumference, which is pi x d. So you will need 40 and pi (that will give you the circles and then you have both of the straight distances which are 100 each).



pls help

Answer: -2.5

Step-by-step explanation: The absolute value of 0.5 is "0.5".

Therefore; if you subtract the value "3" from "0.5", you will end up with -2.5 as an answer.

Here's what you need to do:

We know that Ryan can install 144 square feet of flooring in 3 hours.

So, if we take 144 square feet, and divide by 3 hours, 144 / 3, we end up with 48, meaning Ryan can install 48 square feet of flooring every hour.

Then, simply multiply 48 by 18, 48 x 18, and you end up with 864.

Meaning, in 18 hours, Ryan can install 864 square feet of flooring.

Answer: 864 square feet.

Suppose that there is a random variable y, denotes the number of cars observed at car entering an intersection time.

a) Possible values of y are present in above table figure.

b) Five different outcomes and their associated y-values are also present in above figure 2.

Starting at a particular time, each car entering an intersection is observed to see whether it turns left (L) or right (R) or goes straight ahead (S). The experiment terminates as soon as a car is observed to go straight. Suppose that the random variable y denotes the number of cars observed. List five different outcomes and their associated y-values. In this experiment, each car entering an intersection is observed to see whether it turns left or right or goes straight. Let y denote the number of cars observed.

a) The experiment will terminate as soon as a car is observed to go straight. For this experiment, the possible outcomes are as shown above figure.

b) Also, from the above outcome, the five different outcomes are given below:

Outcome Value of y

RRRS 4

LLRLLS 6

RRS 3

LRRRLS 6

S 1

Hence,

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Complete question :

Starting at a particular time, each car entering an intersection is observed to see whether it turns left (L) or right (R) or goes straight ahead

(S). The experiment terminates as soon as a car is observed to go straight. Suppose that the random variable y denotes the number of cars observed.

a) what is the possible value of y?

(b)List five different outcomes and their associated y-values.

Outcome Value of y

RRRS

LLRLLS

RRS

LRRRLS

S

Option D. The approximate surface area of the drum is 2744 1/7 in². The surface area of a cylinder can be calculated using the formula:

A = 2πr² + 2πrh

where r is the radius of the base, h is the height of the cylinder, and π is the mathematical constant pi, which we can approximate as 3.14.

Plugging in the given values, we get:

A = 2 x 3.14 x 13² + 2 x 3.14 x 13 x 20.5

= 1060.04 + 1684.06

≈ 2744.1

Rounding this to the nearest 1/7, we get:

2744 1/7 in²

Therefore, the approximate surface area of the drum is 2744 1/7 in². However, none of the given answer choices match this result exactly.

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A cylindrical chemical drum with a radius of 13 inches and a height of 20 1/2 inches needs painting. net of a cylinder What is the approximate surface area of this drum? Use 22,7 for pi.

A. 1062 2/7 in²

B. 1675 1/7 in²

C. 2737 3/7 in²

D. None of the above

The relation is not a function, but rather a circle with center at the origin and radius 2.

Given the relation in the question;

x² + y² = 4.

First, lets solve for y.

x² + y² = 4

Subtract x² from both sides

x² - x² + y² = 4 - x²

y² =  4 - x²

Take the squre root of both sides

y = ±√( 4 - x² )

This shows that for a given value of x, there are two possible values of y. One positive and one negative, that satisfy the equation.

Therefore, the relation is not a function.

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Answer:

f(x) = - [tex]\frac{1}{2}[/tex] x + 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 0 ) , x- intercept and (x₂. y₂ ) = (0, - 4) , y- intercept

m = [tex]\frac{-4-0}{0-2}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex] , then

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

to find c substitute (- 4, 7 ) into the partial equation

7 = - [tex]\frac{1}{2}[/tex] (- 4) + c = 2 + c ( subtract 2 from both sides )

5 = c

y = f(x) = - [tex]\frac{1}{2}[/tex] x + 5 ← equation of function

Answer:

Saanvi recorded the number of math problems she did for homework each night for 10 days.

Step-by-step explanation:

Answer:

Positive

Step-by-step explanation:

It's a positive number

If it doesn't have a (-) it's a positive number

According to the solving $310 money you have in savings after 26 weeks, we can use either the recursive or explicit formula:

The explicit equations for L-functions are Riemann's relations between sums over an L-function's complex number zeroes and sums over prime powers for the Riemann zeta function.

a) Recursive formula:

Let S(n) be the amount of money in savings after n weeks. Then:

S(0) = 50 (initial amount)

S(n) = S(n-1) + 10 (deposit of $10 per week)

b) Explicit formula:

The explicit formula for this sequence is:

S(n) = 50 + 10n, where n is the number of weeks.

c) To find how much money you have in savings after 26 weeks, we can use either the recursive or explicit formula:

Using the recursive formula:

S(0) = 50 (initial amount)

S(1) = S(0) + 10 = 50 + 10 = 60

S(2) = S(1) + 10 = 60 + 10 = 70

S(3) = S(2) + 10 = 70 + 10 = 80

and so on, until:

S(26) = S(25) + 10 = 310

Therefore, after 26 weeks, you have $310 in savings.

Using the explicit formula:

S(26) = 50 + 10(26) = 50 + 260 = 310

after 26 weeks, you have $310 in savings.

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Answer:   76.67%

Step-by-step explanation:

Answer:

Any number greater than 10;   11, 12, 15, 20, 100...etc

Step-by-step explanation:

Order the data from least to greatest and strikethrough numbers on each side until you reach the middle 1 or 2 numbers. In this case there are 9 numbers, so the middle number is our median.

8, 8, 8, 8, 10, v, 18, 18, 18

the variable v can be many numbers, but in order for the median to be 10, v must be a number greater than 10. If v = 11, the median is 10. Likewise, if v = 100000, the median is still 10 because it is the middle of the set.

We can cut 6 pieces of rope measuring 5/8 of a foot from a rope of 4 3/8 feet, with some rope left over.

Area is a measurement of the size of a surface or a region in a two-dimensional space. It is expressed in square units, such as square inches (in²), square meters (m²), or square feet (ft²). To find the area of a shape, you need to multiply its length by its width, or use an appropriate formula depending on the shape. For example, the formula for the area of a rectangle is A = l × w, where A is the area, l is the length, and w is the width.

To find the number of pieces of rope measuring 5/8 of a foot that can be cut from a rope of 4 3/8 feet, we need to divide the length of the rope by the length of each piece of rope:

4 3/8 feet = 4 + 3/8 feet = 4 feet + (3/8) x 12 inches = 4 feet + 3 inches = 51 inches

Each piece of rope measures 5/8 of a foot, which is equivalent to 5/8 x 12 inches = 7.5 inches.

Now we can divide the length of the rope (in inches) by the length of each piece of rope (in inches) to find the number of pieces:

51 inches ÷ 7.5 inches ≈ 6.8

Therefore, we can cut 6 pieces of rope measuring 5/8 of a foot from a rope of 4 3/8 feet, with some rope left over.

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Answer:

Step-by-step explanation:

The expression in standard form that represents the area of the square with side length s is given by:

A = s^2

However, if you want to substitute the value of s with the expression 5y+3, then the area expression becomes:

A = (5y+3)^2

Expanding the expression, we get:

A = 25y^2 + 30y + 9

Therefore, the expression in standard form that represents the area of the square with side length 5y+3 is 25y^2 + 30y + 9.

Answer:

a) 76

b) 26

I could only do the first two.

The solution will be b=4, the number b such that the average rate of change of f on the interval [2, b] is - 1/18 if the provided assertion is correct.

For instance, a range between 0 and 10 would include all of the integers between them, not just 1, 2, 3, 4, 5, 6, 7, 8, and 9. These would additionally incorporate fractional numbers like 1.3 and components like 1/10. We therefore have the job. We must determine b to the extent that the interval [2, b]'s average percentage of change or slope is -1/8. Discover f first(2).

f(2) = 1/(2) = 1/2

So, we have the point (2, 1/2)

At point b, f(b) = 1/b.

Let's plug this into the slope formula

We simply have to figure out b now. Let's start by multiplying the divisor and fraction by b.

Now, cross multiply.

Solve for b. Use the factors -4 and -2 to multiply.

Thus, b=4 or b=2.

However, b=2 cannot be the answer because the range [2,2] has no significance. Thus, b=4.

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Answer : B. 36 Square Centimetres

Explanation : 9 × 8 = 72        72 ÷ 2 = 36

Answer:36 b

Step-by-step explanation:

The amount (Present Value) that Crystal Nelson can invest today so that she can withdraw $46,500 at the end of each year for 20 years when she retires in 5 years' time is $454,047.76.

Firstly, the present value of the periodic withdrawals for 20 years is determined and used as the future value for determining the present value in 5 years.

The present value is the future value discounted to the current period, removing the effect of compound interest.

N (# of periods) = 20 years

I/Y (Interest per year) = 5%

PMT (Periodic Withdrawals) = $-46500

FV (Future Value) = $0

Results:

Present Value (PV) = $579,492.78

Sum of all periodic payments = $-930,000.00

Total Interest = $350,507.22

N (# of periods) = 5 years

I/Y (Interest per year) = 5%

PMT (Periodic Payment) = $0

FV (Future Value) = $579,492.78

Results:

Present Value (PV) = $454,047.76

Total Interest = $ 125,445.02

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Answer:

The answer to your problem is, A. 536,866,822

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

If a fair coin is tossed 29 times, the total number of outcomes will be expressed as: [tex]2^{29} = 536,870,476[/tex]

If at least 2 tails occur, the expected outcome will be 29 times

Pr(at least 2 tails occur) = [tex]2^{29} - 29 - 1[/tex]

Pr(at least 2 tails occur) = [tex]536,870,912 - 30 = 536,866,822[/tex]

Thus the answer to your problem is, A. 536,866,822

Answer:

(f•g)(x)=16x²+1

(g•f)(x)=4x²+4

Step-by-step explanation:

f(x)=x²+1, g(x)=4x

(f•g)(x)=f(g(x))

=f(4x)

=(4x)²+1

=16x²+1

(g•f)(x)=g(f(x))

=g(x²+1)

=4(x²+1)

= 4x²+4

The function f(x) = 81 − x2 is increasing on the interval (−∞, 9) and decreasing on the interval (9, ∞).

Parabola is a type of curve which is defined by the quadratic equation. It has a distinct "U" shape, with the vertex of the curve being the highest or lowest point.

The point x = 9 is the vertex of the parabola, which marks the point at which the function changes from increasing to decreasing.

Since the function is a parabola, it is also a polynomial of degree 2, and it is always decreasing for points greater than the vertex, and increasing for points less than the vertex.

This means that the function is increasing on the interval (−∞, 9) and decreasing on the interval (9, ∞).

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Answer:c

Step-by-step explanation:

The perimeter of the circle formed by bending the rectangular wire will be equal to the length of the wire.

Perimeter of the circle = Length of the wire

2πr = 2(l+b) where r is the radius of the circle, l is the length of the wire, and b is the breadth of the wire.

Substituting the given values, we get:

2 x 3.14 x r = 2(32 + 12)

6.28r = 88

r = 14 cm

Therefore, the radius of the circle is 14 cm.

Answer:

14.01 cm

Step-by-step explanation:

The length of the wire is equal to the perimeter of the rectangle. So, the length of the wire is:

When this wire is bent into a circle, its length becomes equal to the circumference of the circle. The formula for the circumference of a circle is:

(let r = radius)

So, we can write:

Solving for r, we get:

So, the exact value of the radius of the circle formed by bending this rectangular wire is 14.01 cm.

The sum of 8 3/4 + 2 and 1/2 is 11 1/4 ( optionB)

A sum is the result of an addition. For example the sum of 10,15,4,6,12 is obtained by adding all the numbers together.

= 10+15+4+6+12 = 47

Similarly, the sum of 8 3/4 + 2 and 1/2 is obtained by,

35/4 +2 +1/2

The LCM of 4,2 and 1 is 4 and 8 can also be used.

= (70+16+4)/8

= 90/8

= 11 2/8

simplifying the fraction

= 11 1/4.

therefore the the sum of 8 3/4 + 2 and 1/2 is 11 1/4

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Using the appropriate statistical relation, the confidence interval estimate for the net worth of the wealthiest celebrities is (150.35; 204.77).

Given the samples :

X = 256,196,190,166,163,162,148,148,143.

Using a calculator, we could obtain the sample mean and sample standard deviation is-

Mean, μ = [tex]\sum\frac{x}{n}[/tex] = 174.55

Standard deviation, σ = 38.8

The confidence interval can be defined thus :

Mean ± standard error

Standard Error = Tcritical × σ/√n

Tcrit ; 95% ; df = n - 1 = 9 - 1 = 8; T-critical = 2.26

Standard Error = (2.26 × 38.06/√10) = 27.20

Lower confidence boundary = 177.55 - 27.20 = 150.35

Upper confidence boundary = 177.55 + 27.20 = 204.77

Therefore, the confidence interval is (150.35; 204.77)

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Pythagoras - Has a theorem named after him

Thales - Contributed to the five basic theorems of geometry

Pythagoras was a Greek philosopher, mathematician, and founder of the Pythagorean school of philosophy. He lived in the 6th century BCE on the Greek island of Samos and is known for his contributions to mathematics, geometry, music, and philosophy.

Pythagoras is most famous for the theorem that bears his name, the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This theorem is fundamental to the study of geometry and has applications in many fields, from architecture to physics.

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Therefore, the expression that represents the balance after two months is: 1500 * (1 + 0.01) * (1 + 0.01) = 1530.15.

Percent, denoted by the symbol "%", is a way of expressing a number as a fraction of 100. For example, 50% is equivalent to the fraction 50/100, which can be simplified to 1/2. Percentages are commonly used to express ratios, proportions, or rates in various contexts such as finance, statistics, and everyday life. For instance, an interest rate of 3% means that for every $100 borrowed, the borrower will be charged $3 per year. Similarly, a score of 80% on an exam means that the student has answered 80 out of 100 questions correctly.

by the question.

To calculate the balance after two months, we first need to calculate the balance after the first month, including the interest earned:

Balance after 1 month = 1500 + (1% of 1500) = 1500 + 15 = 1515

Then, we can calculate the balance after two months, including the interest earned in the second month:

Balance after 2 months = 1515 + (1% of 1515) = 1515 + 15.15 = 1530.15

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