What is the standard form of the equation of the circle in the graph

Answer:x^1/2 • 1/3 x^1/2 + 1/3

Step-by-step explanation:

The equivalent expressions are,

C) x⁻² = 1/x²

E) (2x²y⁵)³ = 8x⁶y¹⁵

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We can all the expression as,

A) (x²)⁵ = x⁷

LHS, (x²)⁵ = x¹⁰

               ≠ x⁷

B) x⁹ ÷ x⁴ = x¹³

LHS, x⁹ ÷ x⁴ = x ⁹⁻⁴

                  = x⁵

                  ≠ x¹³

C) x⁻² = 1/x²

LHS, x⁻² = 1/x²

             = 1/x²

D) (2x²y⁵)³ = 2x⁵y⁸

LHS, (2x²y⁵)³ = 8x⁶y¹⁵

                   ≠ 2x⁵y⁸

E) (2x²y⁵)³ = 8x⁶y¹⁵

LHS, 2x²y⁵)³ = 8x⁶y¹⁵

Thus, The equivalent expressions are,

C) x⁻² = 1/x²

E) (2x²y⁵)³ = 8x⁶y¹⁵

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Answer:

60 minutes

Step-by-step explanation:

its the first time they line up.

Answer:

50 ft

Step-by-step explanation:

An integer is a whole number.

If you're Ascending that means to go up( or to increase in height. This means that the number would be positive. The 50 feet would give us our number, so our answer is (+) 50 ft.

The line segment and ray with the arrow markers on them are parallel, so y = 30 because they are alternating interior angles.

Similarly, x = 75 because it corresponds on the angle with measure 75º at the top of the triangle. This also follows from the given two parallel lines.

Answer:

I don't know, Sorry

Step-by-step explanation:

Answer:9 tables with 5 people at each one

Step-by-step explanation:

Using the factorization that defines the arrangement, there can be 9 tables for 45 guests with 5 guests per table. "A large number is factorised, which is the process of breaking it down into smaller numbers that, when multiplied together, produce the original number. A number is factorised when it is divided into its factors or divisors."

The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics. The Grouping method, the Difference in Two Squares, the Sum or Difference in Cubes, and the Greatest Common Factor (GCF) are the four main methods of factoring. Divide a number by the smallest prime number (larger than 1) that divides it evenly and leaves no remainder to find its factors quickly. As you receive more numbers, repeat this procedure until you reach 1.

Here,

Jordan and Micheal are planing a graduation party with 45 guests. They want to seat an equal number of guests at each table.Each table should have more than one guest.

when we factorize 45,

1x45

3x15

5x9

We can arrange in the order of 5 guest on each table and their can be 9 tables for 45 guests using the factorization that defines "Factorization is the process of dividing a large number into smaller ones that, when multiplied together, yield the original number. Factorization is the division of a number into its factors or divisors."

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Answer:

n = -3

Step-by-step explanation:

-5n-30=21+9n+3n

-5n-30=21+12n

-17n=51

n=-3

Answer:

X=32

Step-by-step explanation:

since it is equilateral, all the angles are the same so they equal 60 , because those are the only possible angle measurements that an equilateral triangle can have.

we know that all the angles are equal to 60 so we set up an equation

2x-4=60

2x=64

x=64/2

x=32

Answer:

2 months difference

Step-by-step explanation:

4.9-2.9=2

Complete Question

A local country club has a membership of 600 and operates facilities that include an 18-hole championship golf course and 12 tennis courts. Before deciding whether to accept new members, the club president would like to know how many members use each facility. A survey of the membership indicates that 70% use the golf course, 50% use the tennis courts, and 5% use neither of these facilities. One club member is chosen at random. What is the probability that the member uses either the golf or the tennis facilities?

Answer:

The value is [tex]f = 0.45[/tex]  

Step-by-step explanation:

From the question we are told that

   The number of members is  n  =  600

   The  proportion of those that use the golf course is  p =  0.70

   The proportion of those that use the tennis courts is q = 0.50

    The proportion of those that use neither of these facilities is k =  0.05

Generally the probability that a member use the golf course or the tennis court is  

      [tex]c = 1 - q[/tex]

=>   [tex]c = 1 - 0.05[/tex]

=>   [tex]c = 0.95[/tex]

Generally the probability that a member use the golf course or the tennis court can also be represented as

     [tex]c = p + q - z[/tex]

Here z represent the probability that a member uses golf course and tennis court

So

    [tex]0.95= 0.7 +0.50 - z[/tex]

=> [tex]z = 0.25[/tex]

Generally the probability that the member uses the golf course but not the tennis courts is mathematically represented as

     [tex]f = p -z[/tex]

=> [tex]f = 0.70 -0.25[/tex]

=> [tex]f = 0.70 -0.25[/tex]  

=> [tex]f = 0.45[/tex]  

Answer:

1

Step-by-step explanation:

Anything raised to 0 is 1.

Answer:

D' (-4, -1)

E' (-8, -5)

F' (-6, -7)

G' (-2, -3)

Step-by-step explanation:

To solve this each point would go under this:

(x, y) --> (-1(x + 6), y - 8)

the x + 6 and y - 8 are the transformation. The -1 multiplied by x represents the reflection over the y-axis

D --> D':

(-2, 3) --> (-4, -1)

E -- E':

(2, 3) --> (-8, 5)

F --> F':

(0, 1) --> (-6, -7)

G --> G':

(-4, 5) --> (-2, -3)

Step-by-step explanation:

It is a ratio so it will be

3:2

1: .67

Answer:

49in square

Step-by-step explanation:

multiply the width and length to get the area so 7in times 7in equals 49in square.

Answer:

The probability that exactly four road construction projects are currently taking place in this city is 0.168.

Step-by-step explanation:

Let X denote the number of road construction projects that take place at any one time in a certain city.

It is provided that X follows a Poisson distribution with parameter λ = 3.

Then the probability mass function of X is:

[tex]p_{X}(x)=\frac{e^{-\lambda}\cdot \lambda^{x}}{x!};x=0,1,2,3...[/tex]

Compute the probability that exactly four road construction projects are currently taking place in this city as follows:

[tex]P(X=4)=\frac{e^{-3}\cdot 3^{4}}{4!}[/tex]

                [tex]=\frac{0.04979\times 81}{24}\\\\=0.16804125\\\\\approx 0.168[/tex]

Thus, the probability that exactly four road construction projects are currently taking place in this city is 0.168.

Using the Poisson distribution, it is found that there is a 0.1954 = 19.54% probability that exactly four road construction projects are currently taking place in this city.

We have only the mean for the discrete distribution, hence, the Poisson distribution is used.

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

In this problem, the mean is of 3, hence [tex]\mu = 3[/tex].

The probability that exactly four road construction projects are currently taking place in this city is P(X = 4), hence:

[tex]P(X = 4) = \frac{e^{-3}3^{4}}{(4)!} = 0.1954[/tex]

0.1954 = 19.54% probability that exactly four road construction projects are currently taking place in this city.

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Answer:

B. 2,500

Step-by-step explanation:

The diagram of the area of the store has been divided A and B as shown in the attachment below.

Dimensions of A:

(*Note: scale = 1 in to 16 ft)

Length = 4 inches

Actual length = 4*16 = 64 ft

Width = 1¾ inches

Actual width = 1¾*16 = 28 ft

Area of A = length * width = 64*28 = 1,792 ft²

Dimensions of B:

(*Note: scale = 1 in to 16 ft)

Length = 2¼ inches

Actual length = 2¼*16 = 36 ft

Width = 3 inches - 1¾ inches = 1¼ inches

Actual width = 1¼*16 = 20 ft

Area of A = length * width = 36*20 = 720 ft²

Area of the store = area of A and area of B = 1,792 + 720 = 2,512 ft²

Approximately, the are is 2,500 ft²

Answer:

The answer is 4

Step-by-step explanation:

If this helps may i plz have brainliest :)

Answer:

 $92.54

Step-by-step explanation:

sales tax = cost * tax rate

               = 995 * .093

               = 92.535

Answer:

0.5

Step-by-step explanation:

Given that: An average concentration of 1 coliform bacteria per 20 cc of the river water.

This implies that in 20 cc of the water, it is certain that 1 coliform bacteria would be found. So that:

pr(1 bacteria in 20 cc of water) = 1

i.e the probability of getting 1 bacteria in 20 cc of water is 1.

The probability of the 10 cc sample of water containing 2 coliform bacteria can be determined as:

pr(2 bacteria in 10 cc of water) = [tex]\frac{1}{2}[/tex]

                                                   = 0.5

Step-by-step explanation:

is a person who studies and writes about the past and is regarded as an authority on it. Historians are concerned with the continuous, methodical narrative and research of past events as relating to the human race; as well as the study of all history in time.

hope this help!

Answer:2=540(4x-10)(2x+7)(741-25)

Step-by-step explanation:

Answer:

7 shirts 8 pairs of pants

Step-by-step explanation:

:(

:)

Answer:

8 pants, and 7 shirts

Step-by-step explanation:

because there are only two factors in here, you can just subtract:

15-7=8

can i get brainliest please?

Answer:

2

Step-by-step explanation:

48/2(9+3)

=48/2(12)

=48/24

=2

hope this helps

plz mark as brainliest

Answer:

The answer is 2 Have a blessed and safe day

Answer:

The equation would be y=3x+7. Please mark as helpful if it helps, thanks!

Ok. My answer I came up with is:

y=2-3x

Thanks

Answer:

15

Step-by-step explanation:

Step 1:

x - 23 = - 8        Equation

Step 2:

x = - 8 + 23       Add 23 on both sides

Answer:

x = 15

Hope This Helps :)

Answer: 9

I did (-3)^2= cause I'm not sure if you meant to put ( ) ( ) in it. If you did well, sorry. I got (-3)^2=9.

Answer:

A customer will get 1 gallon for $3.50.

A customer will pay $ 21 for 6 gallons.

A customer will get 4 gallons for $14.00.

A customer will get 2 gallons for $7.00.

Step-by-step explanation:

This is solved using the unitary method .

Four gallons cost $ 14

1 gallon costs $ 14/4= $ 3.5

6 gallons cost = $ $ 14/4 *6= $ 21

2 gallons cost = $ 14/4 *2= $14/2= $ 7

A customer will get 1 gallon for $3.50.

A customer will pay $ 21 for 6 gallons.

A customer will get 4 gallons for $14.00.

A customer will get 2 gallons for $7.00.

This can be found out by using the direct ratio as well.

Gallons                   Cost

4                               $14

1                                x

Using cross product

x*4= $ 14*1

x= $ 14/4 = $3.5

The same can be applied to find the rest and we get the same answers.