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2. A pony ride operates in a circular ring that has a radius of 5.5 feet. Trent is
setting up the
fencing around the edge of the ring. Which measurement is closest to the
length of the fencing
in feet?

Answer:

mean=12

Step-by-step explanation:

First, order the data like so.

5, 7, 12, 12, 16, 17, 17

Then add them all up.  

It is a sum of 86.

Finally divide

86/7=12.2

Since 12.2 movies aren't possible, let's say the mean is 12

Answer:

Step-by-step explanation:

The first term of the given sequence is a(1) = 64.  Each succeeding term is found by multiplying the present one by (-3/4), and so (-3/4) is the common ratio.  Then the geometric sequence represented here is

a(n) = a(1)*(-3/4)^(n - 1), or, specifically,

a(n) = 64*(-3/4)^(n - 1)

Alternatively:  a(n) = a(n - 1)*(-3/4). or a(n) = (-3/4)a(n - 1)

The sequence can be described by the formula f(x + 1) = 3/4f(x). According to this formula, each phrase in the sequence is 3/4 times the one before it. Therefore, the correct option is A.

A list of numbers or objects that follow a certain pattern or rule is referred to in mathematics as a sequence. Unless otherwise stated, a sequence consists of an infinite number of terms, which are the individual items that make up the sequence.

Many mathematical disciplines, such as calculus, number theory, and statistics, make use of sequences. Mathematical, geometric and Fibonacci sequences are some examples of sequences. The sequence can be described by the formula f(x + 1) = 3/4f(x). According to this formula, each phrase in the sequence is 3/4 times the one before it.

Therefore, the correct option is A.

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Explanation:

Setting smaller realistic goals you can achieve will help build momentum on achieving the bigger goals. Think of it like building a house. You can't simply build a house in a single day, week, or even month. It takes a while to lay the foundation, build the frame, etc. Just take it one step at a time and do so at a realistic pace. At the same time, make sure you don't take too small a step or it might seem too nitpicky, and it might take longer than you thought. In short, this is why choice A is the answer.

Choice B is false because you should probably only focus on one internship so you're 100% focused on that only. I suppose you could have perhaps 2 or 3 of them, but it could get tricky to juggle them all. The more tasks you take on, the more stress will come with it and the less time you'll have per job (not to mention less time for everything else). Be honest with yourself as to what you can handle. Personally, I think that one internship should be enough. Ideally it's paid but unfortunately there are unpaid internships that are out there. Go with the best option that will help your career path.

Choice C is false. You don't need to change your lifestyle unless you have bad habits that may be detrimental to your career. If you do need a lifestyle change, then it's probably best to do changes in small steps as the first paragraph mentions.

Choice D is false. You should have a set goal on what you want and stick to it. Yes you can change your mind if you pick something that doesn't make you happy. But you shouldn't change your mind frequently and often, as it would waste time and energy. So this is why planning it out is a good idea.

The best alternatives of the given ones to move toward a personal vision is by setting smaller and more specific goals and changing your lifestyle.

The comprehensive human goals include -

Given is to move towards a personal vision and the steps taken to achieve them.

In order to move towards a personal vision, the most important steps of the given ones is by setting smaller and more specific goals. This is because the smaller and specific goals are easier to achieve in the beginning. Other than this, an option about changing your lifestyle will be a lot helpful in achieving the smaller and specific goals.

Therefore, the best alternatives of the given ones to move toward a personal vision is by setting smaller and more specific goals and changing your lifestyle.

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Answer:

the number that belongs in the green box is 8

9514 1404 393

Answer:

Step-by-step explanation:

The net will be a rectangle representing the lateral area. Its length will be 2π(4 in), the circumference of the box, and its height will be 9 in, the height of the box. On either side of that rectangle will be an 8-in diameter circle representing the ends of the box.

The total surface area is given by the formula ...

  SA = 2πr(r +h)

For one box, the area is ...

  SA = 2(3.14)(4 in)(4 in +9 in) ≈ 326.6 in² . . . . area of one box

__

There are 144 square inches in a square foot, so the area required for 1500 boxes is ...

  (1500)(326.56 in²)/(144 in²/ft²) ≈ 3402 ft² . . . area of 1500 boxes

Answer: 297 and 353

Step-by-step explanation:

Given

A store ordered 650 candles at a total cost of $6,789.30

The soy candles cost $12.02 each and the specialty candles cost $9.12

Suppose there x soy candles and y specialty candles

[tex]\therefore x+y=650\quad \ldost(i)\\12.02x+9.12y=6789.30\quad \ldots(ii)\\\text{Solve (i) and (ii)}[/tex]

[tex]x=297,y=353[/tex]

Store ordered 297 soy candles and 353 specialty candles.

Answer:

D. 0.79

Step-by-step explanation:

The probability of an event is a number between 0 and 1, where, 0 indicates impossibility of the event and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur.

so, the answer is D. 0.79

Answer:

As for the others, probability 0 means that the even't cannot happen, whereas probability 1 means that event is certain. So, the bigger the number, the greater the probability. the greatest number represents the event that is more likely to occur between0 ≤ P(E) ≤ 1.

Given

1.5>0.79>0.16>0.03

So

0.79 is a required answer.

Answer:

D.77

Step-by-step explanation:

Since the mean is the average first you

Add up all the values

74+75+80+76+75+81+78 = 539

Divide the product by the number of values

539÷7=77

Answer: 5

Step-by-step explanation:

11 2/5 Divided by 3 is 19/5 (as a fraction) or 3.8

add 3.8 to 1.2.

Hope I could help.

Answer:

x = 9

Step-by-step explanation:

5x + 27 = 45 + 3x

Subtract 3x from both sides

2x + 27 = 45

Subtract 27 from both sides

2x = 18

Divie both sides by 2

x = 9

Answer:

r = 15

Step-by-step explanation:

Volume of a sphere is given by

V = 4/3 pi r^3

4500 pi = 4/3 pi r^3

Divide each side by pi

4500 = 4/3  r^3

Multiply each side by 3/4

3/4 *4500  = 3/4 *4/3  r^3

3375 = r^3

Take the cube root of each side

(3375)^(1/3) = (r^3)^(1/3)

15 = r

Answer:

see below

Step-by-step explanation:

(3x + 8) units by (6x + 5) units.

A = l*w

  = (3x+8)(6x+5)

   Distribute

3x*(6x+5) + 8(6x+5)

18x^2 +15x + 48x +40

Combine terms

18x^2+63x+40  units^2

The degree is 2  ( the highest power of x)

This is a trinomial   ( it has 3 terms)

Multiplication is closed for polynomial multiplication

We started with polynomials and we ended up with a polynomial.

Answer:

Kim will need to spend 67 minutes on her sixth ride

Step-by-step explanation:

Represent the number of minutes of her sixth ride by m.

Then the average number of minutes is

53 + 43 + 56 + 54 + 45 + m

---------------------------------------- = 53

                      6

Multiplying both sides of this equation by 6 yields

6(53 + 43 + 56 + 54 + 45 + m)

--------------------------------------------- = 6(53)

                        6

which simplifies to

 251 + m

---------------- = 318

or  251 + m = 318.  Subtract 251 from both sides to obtain the value of m:

m  = 318 - 251 = 67

Kim will need to spend 67 minutes on her sixth ride to attain an average ride length of  53 minutes.i

Answer:

B

Step-by-step explanation:

To find the inverse of a function just replace the x and y value

so for f(x) instead of y=√(x-2) it x=√(y-2)  --- take this and now solve for y

x=√(y-2)

x²=y-2

x²+2=y

This matches h(x)

Answer: It really is B but I’m confused on your new question I’ll try :(

Step-by-step explanation:

Answer:

These are the numbers in order from greatest to least.

0.24, 0.57, 3/5, and 0.87

Step-by-step explanation:

Hope this is helpful.

Answer:

A, 16 to 20

Step-by-step explanation:

32 / 2 = 16

40 / 2 = 20

Answer:

(x - 4)(x - 2)

Step-by-step explanation:

x² - 6x + 8

x² - 2x - 4x + 8

x(x - 2) - 4(x - 2)

(x - 4)(x - 2)

Step-by-step explanation:

(x-4)(x-2)=0

x2-2x-4x+8=0

x2-6x+8=0

Answer:

x = 4.5

Step-by-step explanation

When z is 6 that means x is 1.5 which means that when z is 18 then x is 4.5 because we add 3+1.5 which is 4.5

Answer:

Graph B

Step-by-step explanation:

y = (x - 3)(x - 3)

The x intercepts are at 3

Since both intercepts are at 3, the vertex is at 3

We know it is an upwards facing parabola since it is quadratic and the constant out front is positive

what are the answers, you didn't put a following

Answer:

How many hours do you spend at the pharmacy each month?

Step-by-step explanation:

GOt it right on test

Answer:

$728.00

Step-by-step explanation:

10m*14m=140m

140*$5.20=$728.00

Answer:

B. 2x - 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 3x - 1

g(x) = x + 2

(f - g)(x) is f(x) - g(x)

Step 2: Find

The measure of RS to the nearest hundredth is 23.09 m

From the given figure, we have the following parameters

Adjacent to <R = RS

hypotenuse = 20cm

Using the theorem;

cos theta = opp/hyp

cos<R = RS/20
cos 30 = RS/20
RS = 20/cos30

RS =23.094 m

Hence the measure of RS to the nearest hundredth is 23.09 m

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Answer:

D.144

Step-by-step explanation:

[tex]\frac{7}{x} = \frac{84}{156-x}[/tex]

⇔ 84x = -7x + 1092

⇔ 91x = 1092

⇔ x = 12

⇒ AC = 156 - x = 156 - 12 = 144

Answer:

okay I don't have to work at rito pag nasagutan the gathered from the story is about

Answer:

P = A - 0.2P

Step-by-step explanation:

A = P + Prt

Where,

A = Total amount in an account earning simple interest

P = principal

r = rate

t = time

A = P + Prt

In terms of Payment

P = A - Prt

Holly:

r = 4% = 0.04

t = 5 years

P = A - Prt

= A - (P * 0.04 * 5)

= A - 0.2P

P = A - 0.2P

Answer:

1. x = 15

2. x = 26

3. x = 7.6157731059 (you can round this answer to 8 or 7.6)

4. x = 11.7

5. x = 25

6. x = 1.4

7. x = 22.5

8. x = 38.4

9. x =  10.3    v = 5.8

For some of them, I had to use estimation.  

I used this formula : a^2 + b^2 = c^2

Answer:

[tex] \sin(c) \: = \frac{ \sqrt{3} }{2} [/tex]

[tex] \tan(c) = \sqrt{3} [/tex]

[tex] \sin(b) = \frac{1}{2} [/tex]

The ratios that are correct for the triangle are as follows:

The simplest trigonometric ratios are as follows:

AB = √18² - 9²

AB = √324 - 81

AB= √243

AB = 9√3

Therefore, the trigonometric ratio that are correct for the triangle are as follows;

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Answer:

A

Step-by-step explanation:

A zero in a polynomial function is what the variable is equal to to make the function equal to 0. In the graph, there is only one point that is on the x, 0. Meaning there is only one zero.