A soccer field has a length of 100 yards and a width of 60 yards. Which equation can you use to find the area of the soccer field?

A price floor is a law that limits the minimum price at which a good, service, or factor of production can be sold while a price ceiling is a regulation that limits the maximum price at which a good, service, or factor of production can be sold

Price floors are commonly implemented to support producers, while price ceilings are typically put in place to protect consumers from higher prices that might result from shortages or monopolies.

Example of Price Floor:Agricultural subsidies are a common example of price floors. Government price floors ensure that farmers receive a minimum price for their crops.

If the market price of wheat falls below the government-established price floor, the government may buy the excess supply at the guaranteed price, ensuring that farmers are able to make a profit. If there is a price floor, the minimum price is set above the equilibrium price.

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x = 1

\(-x^{2} +2x-1=0\\-(x-1)^{2} \\x=1\)

X cannot be a binomial variable because it matches a geometric distribution having parameters of p = 0.02 and is instead a geometric variable.

What is a Binomial Distribution?

The number of successes and failures in a series of n (a finite value) independent trials or experiments is represented by a binomial distribution.

Given that the producer of electronics is aware that 2% of computer processors are faulty, and

The random variable X represents the number of processors it takes to find a bad processor.

X does not constitute a binomial variable in this situation.

In the example above, the amount of failures (processors) is being counted up until the initial success (a malfunctioning processor) is attained.

X cannot be a binomial variable because it matches a geometric distribution having parameters of p = 0.02 and is instead a geometric variable.

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Answer:

Andy's house to Billy's hometown 15 ways

Andy's house to Willie's hometown 2 ways.

Step-by-step explanation:

Andy's house to Billy's hometown there are 3 roads. There 5 road from billy's hometown to Willie's house . In total there will be 15 ways to travel which is calculated by 3 * 5. For traveling to Willie's hometown there will be two ways. There are two roads that are built to get to Willie's house.

Let's start by setting up an equation to solve for the number of apples in the basket at first.

Let A be the number of apples in the basket at first, and P be the number of pears in the basket at first.

From the problem, we know that:

- A + P = 80 (the total number of fruits in the basket at first)

- 0.4A (40% of the apples) and (2/3)P (66.67% of the pears) were eaten

- In the end, there were 36 fruits left, so the number of fruits that were eaten was 80 - 36 = 44.

From this information, we can set up the following equation:

0.4A + (2/3)P = 44

We can then use the first equation to solve for P in terms of A:

P = 80 - A

Substituting this into the second equation, we get:

0.4A + (2/3)(80 - A) = 44

Simplifying this equation, we get:

0.4A + 53.33 - (2/3)A = 44

Multiplying both sides by 15 to eliminate the fractions, we get:

6A + 800 - 10A = 660

Simplifying this equation, we get:

-4A = -140

Dividing both sides by -4, we get:

A = 35

Therefore, there were 35 apples in the basket at first.

Answer:

Let's start by using algebra to solve this problem. We'll let "a" be the number of apples in the basket at first, and "p" be the number of pears. We know that:

a + p = 80 (since there were 80 fruits at first)

We also know that 0.4 of the apples were eaten, which means that 0.6 of the apples were left. Similarly, 2/3 of the pears were eaten, which means that 1/3 of the pears were left. So:

0.6a + (1/3)p = 36

Now we have two equations and two variables, which we can solve using substitution or elimination. Let's solve for "p" in the first equation:

p = 80 - a

Now we can substitute this expression for "p" in the second equation:

0.6a + (1/3)(80 - a) = 36

Multiplying both sides by 3 to get rid of the fraction:

1.8a + 26.67 - 0.33a = 36

Combining like terms:

1.47a + 26.67 = 36

Subtracting 26.67 from both sides:

1.47a = 9.33

Dividing both sides by 1.47:

a = 6.33

So there were approximately 6.33 apples in the basket at first. Since we can't have a fraction of an apple, let's round up to 7 apples. To check our answer, we can substitute this value for "a" in the first equation:

a + p = 80

7 + p = 80

Subtracting 7 from both sides:

p = 73

So there were 7 apples and 73 pears in the basket at first. We can check that 0.4 of the apples were eaten (which is 0.4 x 7 = 2.8, or 3 since we can't eat a fraction of an apple), and 2/3 of the pears were eaten (which is 2/3 x 73 = 48.67, or 49 since we can't eat a fraction of a pear). So there were 7 - 3 = 4 apples left, and 73 - 49 = 24 pears left, for a total of 28 fruits left. This doesn't match the given information that there were 36 fruits left, so there must be an error in the problem statement or our calculations.

Step-by-step explanation:

118+2×=180

180-118=62

62÷2(×)=31

×=31

Answer:

x + x + 118 = 180

Step-by-step explanation:

...........

Answer:

0.06

Step-by-step explanation:

Identify the probability to the nearest hundredth that a point chosen randomly inside the rectangle either is in the hexagon or in the circle

Area of rectangle = 26.2 * 13 =  340.6 sq inch

Area of Hexagon  = 3√3(side)²/2 = 3√3 (1.8)²/2 = 8.42 sq inch

Area of circle = π(radius)² = 3.14 * (2)² = 12.56 sq inch

Area of hexagon + area of circle = 12.56 + 8.42 = 20.98 sq inch

Probability of selecting point inside the hexagon or in the circle  = 20.98/340.6

= 0.06

Answer: Square and rectangle

Step-by-step explanation:

Solution:

Note that:

Using the perimeter of the smaller triangle, solve for x.

The length of x is 2 units.

Answer:

16 ft

Step-by-step explanation:

We are here given that the side lengths of the state flag are in ratio 4:7 . Let us take the ratio to be \( 4x:7x\) .

Now we are given that the flag is 28 ft. long. So ;

\(\longrightarrow 7x = 28\\\)

Divide both sides by 7 ,

\(\longrightarrow x = 4 \)

Therefore the height of the flag will be ,

\(\longrightarrow h = 4x \)

Substitute for x ,

\(\longrightarrow h = 4(4) ft \)

Multiply,

\(\longrightarrow\underline{\underline{ h = 16ft}} \)

And we are done!

a. The value of θ such that f(θ) = sinθ on the interval π/2<0<π is π/2.

b. The exact value of θ such that 2/(θ) -√3 on the interval 0<θ ≤ 2π is 2/√3 radians.

c. f(θ) = g(θ) for all values of θ.

d. the results from part c) would not hold true for all values of θ.

f(θ) = sinθ
g(θ) = cotθ (1-cos 2θ)
(θ) - sin 2θ
Let's solve the given questions,
a. On the interval π/2<0<π, sinθ is positive.

Therefore,
f(θ) = sinθ
For exact value(s), we need to check for the value of θ in the interval π/2<0<π
Therefore, f(π/2) = 1
f(π) = 0
Thus, the value of θ such that f(θ) = sinθ on the interval π/2<0<π is π/2.
b.  2/(θ) -√3 = 0
=> 2/(θ) = √3
=> θ = 2/√3
Therefore, the exact value of θ such that 2/(θ) -√3 on the interval 0<θ ≤ 2π is 2/√3 radians.
c. Using trigonometric identities, analytically show that f(θ) = g(θ) for all values of θ.
Consider,
f(θ) - cos 2θ = sinθ - cos 2θ
= sinθ - (1-2sin²θ)
= 2sin²θ - sinθ - 1
Now,
g(θ) - (cosθ+ sin θ)(cosθ-sinθ)
= cotθ (1-cos 2θ) - cos²θ + sin²θ
= cos²θ/sinθ - cos²θ/sinθ - cosθ/sinθ.sinθ + sin²θ/sinθ
= (sin²θ - cos²θ)/sinθ
= sinθ - cos 2θ
Therefore, f(θ) = g(θ) for all values of θ.
d. f(π/8) = sin(π/8) = 0.382
g(π/8) = cot(π/8)(1-cos(2π/8)) = 2.613
Since f(θ) and g(θ) have different values for the same angle π/8, the results from part c) would not hold true for all values of θ.

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Answer:

Clean price is $3,977.22

Dirty price = $4110.99

Step-by-step explanation:

We proceed as follows;

Semiannual coupon payments = $3000* 12%/2 = 6% * 3,000 = 6/100 * 3,000 = $180

Coupons are paid on 1st June and 1st December every year(semi-annually means twice a year, every 6 months)

No. of payments remaining = 11 (1 payment in 2020 on 1st December,2020 and 2 in each of the following 5 years)

Semiannual Yield = 6%/2 =3%

The clean price of the bond is given by

P = 180/1.03+ 180/1.03^2+.....+180/1.03^11+ 3200/1.03^11

=180/0.03*(1-1/1.03^11)+3200/1.03^11

=$3977.22

Dirty price = clean price +accrued interest

Accrued Interest = Interest from 1st June , 2020 to 1st December,2020

= no of days from 1st June to 15th October/no of days from 1st June to 1st December * $180

= 136/183*$180

=$133.77

So, Dirty price = $3977.22+$133.22 = $4110.99

Answer:

A. The fewest number of packages of cups and napkins that can be purchased so that they will be the same is 3 packages of cups and 2 packages of napkins.

B. I'm not sure what this part is asking, I hope someone else comes in and helps.

Step-by-step explanation:

Part A Explanation:

3 packages of cups gives you 24 cups total

2 packages of napkins gives you 24 napkins total

 9800=24500(1-r)^3 solve for r

r= (9800/24500)^(1/3))-1)*100 r=26.31% explicit function F(x)=p (1-r)^x

Answer:

b

Step-by-step explanation:

Answer:

m = 3/2

Step-by-step explanation:

You want to find the slope, or the change in y coordinates over change in x-coordinates.

The first given point is E(-2, -4)

The second point is F(2, 2)

Coordinates are given in (x, y), so following the equation and computing the  x and y coordinates of E - F for both the numerator and denominator:

\(\frac{y_2 - y_1}{x_2-x_1} = \frac{-4 -2}{-2 -2} = \frac{-6}{-4} = \frac{3}{2}\)

You could also have went the other way and calculated F - E for the numerator and denominator and get the same answer.

Finally, to check you can also look at the graph through the rise over run (rise/run) method and see that from E, you go up 3 (rise) and to the right 2 (run) to get to the next point on the line.

the solutions to the equation (4x)⁽¹/³⁾ - x = 0 are x = 0, x = 2, and x = -2.

To solve the equation (4x)⁽¹/³⁾ - x = 0, we can follow these steps:

1. Let's isolate the radical term by adding 'x' to both sides of the equation:

  (4x)⁽¹/³⁾ = x

2. Now, we need to eliminate the exponent of 1/3. To do that, raise both sides of the equation to the power of 3:

  [(4x)^(1/3)]³ = x³

  4x = x³

3. Rearrange the equation to bring all terms to one side, setting it equal to zero:

  x³ - 4x = 0

4. Factor out an 'x' from the equation:

  x(x² - 4) = 0

5. Apply the zero-product property, which states that if a product of factors is equal to zero, then at least one of the factors must be zero.

  Setting each factor equal to zero:

  x = 0       (from the factor 'x')

  x² - 4 = 0 (from the factor 'x² - 4')

6. Solve the second equation, x² - 4 = 0:

  x² = 4

  Taking the square root of both sides:

  x = ±2

Therefore, the solutions to the equation (4x)⁽¹/³⁾ - x = 0 are x = 0, x = 2, and x = -2.

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Complete question is below

consider this equation.

(4x)⁽¹/³⁾ - x = 0

Answer:

35% of that number is 91.

Step-by-step explanation:

we need to first find 25% of what number equals 65.

65×100÷25 = 260

Then, if you use the same method again, 60% of 260 would be 156.

We know "that" number is 260, and all we need to do is find 35% of it.

35% of 260 = 91

Hope this helped :)

Step-by-step explanation:

Given expression

8(5s)

The expression equivalent to the given expression is

B. 5(s 8)

D . 40s

Hope it will help :)❤

By quadratic formula, the roots of the quadratic function 2 · x² - 2 · x + 5 = 0 are two conjugated complex numbers: x₁ = 0.5 + i 1.5 and x₂ = 0.5 - i 1.5, respectively.

Let be a quadratic function of the form a · x² + b · x + c = 0, whose roots can be found by means of the following formula:

\(x = \frac{-b \pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}\)     (1)

Where a, b, c are the coefficients of the quadratic function.

In we know that 2 · x² - 2 · x + 5 = 0, then the roots of the polynomial are, respectively:

\(x_{1} = \frac{2 + \sqrt{(-2)^{2}-4\cdot (2)\cdot (5)}}{2\cdot (2)}\)

\(x_{1} = \frac{2 + \sqrt{4-40}}{4}\)

x₁ = 0.5 + i 1.5

\(x_{2} = \frac{2 - \sqrt{(-2)^{2}-4\cdot (2)\cdot (5)}}{2\cdot (2)}\)

\(x_{2} = \frac{2 - \sqrt{4-40}}{4}\)

x₂ = 0.5 - i 1.5

By quadratic formula, the roots of the quadratic function 2 · x² - 2 · x + 5 = 0 are two conjugated complex numbers: x₁ = 0.5 + i 1.5 and x₂ = 0.5 - i 1.5, respectively.

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Answer:

- 32/35

Step-by-step explanation:

-8/7 / 5/4 = -32/35

Answer:

11

Step-by-step explanation:

The pattern is the number minus 7. The next numbers after 11 would be 4, -3, -10 and so on.

Answer:

So, the prime factorization of 828 can be written as 2^2 × 3^2 × 23 where 2, 3, and 23 are prime.

Step-by-step explanation:

828 / 2 = 414

414 / 3 = 138

138 / 2 = 69

69 / 23 = 3

3 / 3 = 1

Answer:

2/6th or 1/3rd of the pie

Step-by-step explanation:

Subtract 2/6 from 2/3:  convert 2/3 to 4/6.  Then 4/6 less 2/6 is 2/6.

Matt ate 2/6th, or 1/3rd, more pie than did his mother.

Answer:

85.85%

Step-by-step explanation:

I am pretty sure

Answer:

86%

Step-by-step explanation:

so first, we figure up how many customers ordered the pike and the shrimp. 14 + 16 = 30. then we can figure out what percentage 30 is to 212 by dividing 30 by 212. we get 0.141509434... we can then round to about 14 so we know that 14% of the customers ordered pike or shrimp. now we take whats left (100% - 14%) and we see that the percentage of people who ordered crab was 86%.

another way we could do this, is to add the total amount of pike and shrimp (30) and subtract it from the total so now we only have the number of customers who ate crab (212 - 30 = 182). then we can take that number and divide it by the total (212) to get the decimal version of the percentage of people who ordered crab. we get that the decimal answer is 0.858490566... so we round to the nearest hundredth to get our percentage, 86%.

I hope this helps :))

Answer:

24

Step-by-step explanation:

dont exaclty have an explanations - its just the calculations

The formula to calculate the circumference of a circle is given by \(\displaystyle\sf C=2\pi r\), where \(\displaystyle\sf C\) represents the circumference and \(\displaystyle\sf r\) is the radius of the circle.

Given that the diameter of the above ground circular swimming pool is 30 ft, we can find the radius by dividing the diameter by 2. So, the radius \(\displaystyle\sf r\) would be \(\displaystyle\sf \frac{30}{2}=15\) ft.

Now, substituting the value of \(\displaystyle\sf r\) into the formula, we have:

\(\displaystyle\sf C=2\pi ( 15)\)

Using \(\displaystyle\sf \pi =3.14\), we can calculate the circumference:

\(\displaystyle\sf C=2( 3.14)( 15)\)

\(\displaystyle\sf C=2( 3.14)( 15)\)

\(\displaystyle\sf C=94.2\) ft

Therefore, the circumference of the pool is 94.2 ft.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Myra has 80 cups if she spilled half she would have 40 cups so no she will not be able to serve 45 cups.

Answer:

1:5 so C!!!!!!

:)(:

Answer:

C, The ratio of the perimeter of the scale drawing to the perimeter of the sign is 1:5.

Step-by-step explanation:

A scale drawing of a rectangular sign has a scale factor of 1:5. Which statements are true?

We know that having the sign of 1:5, is 1:5 because you can think that a the perimeter is 1:5.

The smallest number works the best too.