the amount of sod needed to cover the circular green on a golf course?

Answer:

Refer to pic..........

Answer:

1. X=7

2. x=2

Step-by-step explanation:

The expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

Pascal's Triangle is a triangular array of numbers in which the value in each cell is the sum of the two numbers directly above it.

To expand the given expression (x²-3y)⁴ as per Pascal's triangle:

First, write down the fourth row of Pascal's Triangle as:

1 4 6 4 1

The above numbers represent the coefficients of the terms in the expansion of (a+b)⁴, where a is x² and b is -3y. Therefore, it can be written as,

1×(x²)⁴ + 4×(x²)³×(-3y) + 6×(x²)²×(-3y)² + 4×(x²)(-3y)³ + 1(-3y)⁴

Simplify each term,

x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸

Therefore, the expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

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The match for each set is

1 DnE = {1;4;9;16;25;36;49;64;81} = E ---> E c D

2 DnF = {12;14;16;18} = F ---> F c D

            D n (E n F) = D n {16} = {16}

3.---> (E n F) c D

        D u (E u F) = D n {16} = {0;1;2;3;4;......} = D

4.--->(E n F) c D

5. D n (E u F)

   =D n {1;4;9;12;14;16;18;25;36;49;64;81} = {1;4;9;12;14;16;18;25;36;49;64;81} = E u F --> E u F c D

Symbols, numbers, points in space, lines, and other geometrical forms, variables, and even other sets may all serve as elements in the mathematical representation of a set.

Generally, the equation for is  mathematically given as

\($$\begin{aligned}&D=\{0 ; 1 ; 2 ; 3 ; 4 ; \ldots\} \\&E=\{1 ; 4 ; 9 ; 16 ; 25 ; 36 ; 49 ; 64 ; 81\} \\&F=\{12 ; 14 ; 16 ; 18\}\end{aligned}$$\)

\(1. $D \cap E=\{1 ; 4 ; 9 ; 16 ; 25 ; 36 ; 49 ; 64 ; 81\}=E$ \rightarrow E \subset D\)

2 \($D \cap F=\{12 ; 14 ; 16 ; 18\}=F$\) --->\($F \subset D$\)

3.\($D \cap(E \cap F)=D \cap\{16\}=\{16\}$ ---\rightarrow $(E \cap F) \subset D$\)

4.\($D \cup(E \cap F)=D \cup\{16\}=\{0 ; 1 ; 2 ; 3 ; 4 ; \ldots\}=D$ \rightarrow $(E \cap F) \subset D$\)

5. \($D \cap(E \cup F)$=D \cap\{1 ; 4 ; 9 ; 12 ; 14 ; 16 ; 18 ; 25 ; 36 ; 49 ; 64 ; 81\}=\{1 ; 4 ; 9 ; 12 ; 14 ; 16 ; 18 ; 25 ; 36 ; 49 ; 64 ; 81\}=E \cup F \rightarrow E \cup F \subset D\)

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The current market price for the bond is $870 the yield to maturity is 14.13%

The approximate yield to maturity of this bond is 11.25%, which is above the annual coupon rate of 10% by 1.25%. You can then use this value as the rate (r) in the following formula: C = future cash flows/coupon payments. r = discount rate (the yield to maturity)

knowing that:

the formula is:

\(P = (C / (1 + r))^1 + (C / (1 + r))^2 + ... + (C + F) / (1 + r)^n\)

Putting the values:

\($870 = (130 / (1 + r))^1 + (130 / (1 + r))^2 + ... + (130 + 1,000) / (1 + r)^13\)

Using the math we find that the percentage is  approximately 14.13%;

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Answer:

It's D

Step-by-step explanation:

1. you go to a pex.

2. you click it.

3. you get it right.

Answer:

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

According to definition of a function, each input value should have exactly one corresponding output value.

Verify the data sets:

Answer: 65.085, unacceptable!!! -

Step-by-step explanation:

Hi there! Hopefully this helps!

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\(2e = 2\)

Divide both sides by 2.

\(e = \frac{2}{2}\)

Answer:

1250 dollars lost :(

and gained 3750 dollars

Step-by-step explanation:

one/ fourth of 5000 is 1250 just as 500000 is one fourth of 125000

Answer: A = 6

Step-by-step explanation: Here to help! So, if "a" wants to know the numerator of the fraction, all you have to do is to multiply 0.6 by 10, and that would get you 6/10. 6/10 is equivalent to 60% or 0.6. :))))

Answer:

The approximate probability that the total weight of the passengers exceeds 4432 pounds is 0.2709

Step-by-step explanation:

\(\mu = 192\)

\(\sigma = 31\)

No. of passengers = n = 21

We are supposed to find the approximate probability that the total weight of the passengers exceeds 4432 pounds

\(x = \frac{4432}{21} \sim 211\)

\(Z=\frac{x-\mu}{\sigma}\\Z=\frac{211-192}{31}\)

Z=0.612

refer z table

P(Z<211)=0.7291

P(Z>211)=P(Z>4432)=1-0.7291=0.2709

Hence the approximate probability that the total weight of the passengers exceeds 4432 pounds is 0.2709

From the given equation, it is possible to show that the ordered pair is a solution to the linear equation :  Yes, it is a solution.

An equation can be represented by a linear function. The standard form for the linear equation is: y= ax+b , for example, y=10x+9. Where:

a= the slope. It can be calculated for Δy/Δx .

b= the constant term that represents the y-intercept.

For the given example: a=10 and b=9.

You can find the solution of a linear equation when you replace the value of coordinate x in the linear equation and its result is equal to zero.

The equation of this exercise is y=11x-4 , when you compare this equation with the  standard form for the linear equation is: y= ax+b. You find that a=11 and b = -4.

For solving this equation, you should replace the given coordinate x in the given equation. If the value found for y is the same of the given coordinate y,  the ordered pair is a solution. Otherwise, the ordered pair is not a solution.

Thus,

y=11x - 4 , for x=0, you have

y=11*0 -4

y=0-4

y= -4

You found y= -4 the same value of the y of the ordered pair. Therefore, the ordered pair is a solution of the linear equation.

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Answer:

I think the answer is12h?

The zeros and the multiplicities are

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

f(x) = (x + 6)³(x - 11)²(x - 6)(x + 5)³

The power of each factor are the multiplicities

So, we have

Zero(s) of multiplicity one:

x - 6 = 0

Zero(s) of multiplicity two:

x - 11 = 0

Zero(s) of multiplicity three:

x + 6 = 0 and x + 5 = 0

When evaluated, we have

Zero(s) of multiplicity one:

x = 6

Zero(s) of multiplicity two:

x = 11

Zero(s) of multiplicity three:

x = -6 and x = -5

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Answer:rf JAMES CHARLE's?!?

Step-by-step explanation:

Answer:

A = 22.62°

B = 67.38°

c = 26

Step-by-step explanation:

\(a^2+b^2=c^2\\10^2+24^2=c^2\\100+576=c^2\\676=c^2\\26=c\)

\(\sin A=\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{10}{26}\\\\A=\sin^{-1}(\frac{10}{26})\\\\A\approx22.62^\circ\)<-- You can also use other trig ratios

\(B=180^\circ-(90^\circ+22.62^\circ)=180^\circ-112.62^\circ=67.38^\circ\)

There's no specific order in how to solve for A and B, so there may be more than one way to approach these solutions.

Answer:

\( \frac{1}{3} \pi( {3.5}^{2} )(11) = 44.9\pi\)

C is the correct answer.

The order of the fraction from least of greatest are

The fractions in order from least to greatest.

7/15 3/11 13/5 4/2 4/3

converting to decimals

7/15 = 0.4667

3/11 = 0.2727

13/5 = 2.6

4/2 = 2

4/3 = 1.3333

The order is written as follows

3/11 = 0.2727

7/15 = 0.4667

4/3 = 1.3333

4/2 = 2

13/5 = 2.6

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Answer:

They are all equal and identical in form; coinciding exactly when superimposed.

Step-by-step explanation:

Answer:

  52 miles per hour

Step-by-step explanation:

You want to know Kenneth's average speed if he drove 174.2 miles in 3 7/20 hours.

Speed is the ratio of distance to time:

  speed = distance/time

  speed = (174.2 mi)/(3 7/20 h) = 52 mi/h

Kenneth's average speed was 52 miles per hour.

Answer:

xy³−x³−2y³+y for the first one and 4x³+2y³−5x−2y for the second

Step-by-step explanation:

Answer:

5x³+y³-4x-y

Step-by-step explanation:

x³ -2y³+x. +. y³-2x²+y. + -2y+2y³-5x+4x³

x³-y³+x+y + -2y+2y³-5x+4x³

5x³+y³-4x-y

Answer:

48

Step-by-step explanation:

4*2*3 for the 4 flaps

2*4*3 for the 2 tops

(4*2*3) + (2*4*3) = 48

Answer:

52 square inches

Step-by-step explanation:

to find the surface area of a rectangular prism the formula is

S.A.=2(l*w+l*h+w*h)

2(4*3+4*2+3*2)

=52 square inches

here l is length w is width and h is height

Answer:

B

Step-by-step explanation:

The \(y\)-intercept is \((0,27)\), eliminating all the options except for B.

The radius of the circle is determined as r = 5.

option B.

The radius of the circle is determined by applying the general formula for circle equation.

(x - h)² + (y - k)² = r²

where;

The given circle equation;

4x² + 4y² = 100

Simplify the equation by dividing through by 4;

x² + y² = 25

x² + y² = 5²

So from the equation above, the radius of the circle corresponds to 5.

r = 5

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The equation we have to find has the following form:

We know that the slope is -1/4. This means that the equation is:

We also know that it must pass through the point (-7,0) which means that taking x=-7 should give us y=0:

So we have:

Which can be rewritten:

So the correct option is B

Answer:

a

Step-by-step explanation:

rn rn m rn... rn

rn rn rn

rn em rn rnnn