How many feet of fencing will George need for the dog run?
22 feet
68 feet
76 feet
82 feet

Answer:

3x^3-4x^2+12x-6

Step-by-step explanation:

i hope this is right<3

A ratio shows us the number of times a number contains another number. The length of the pieces of wire are 200m, 250m, 300m, 350m, and 400m.

A ratio shows us the number of times a number contains another number.

Given the piece of wire are in the ratio 4:5:6:7:8. Therefore, the total length of the wire will be,

4x + 5x + 6x + 7x + 8x = 1500m

30x = 1500 m

x = 50 m

Now, the length of the wire will be,

4x = 4(50) = 200m

5x = 5(50) = 250m

6x = 6(50) = 300m

7x = 7(50) = 350 m

8x = 8(50) = 400 m

Hence, the length of the pieces of wire is 200m, 250m, 300m, 350m, and 400m.

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Answer:

5

Step-by-step explanation:

Count the digits.

Answer:

angle CAD

Step-by-step explanation:

look at the 3 points that make up the angle

The percentage increase is 22.72%

The given parameters are:

Initial = 440 coins

Final = 540 coins

The percentage increase is calculated as:

%Increase = (Final - Initial)/Initial * 100%

So, we have:

%Increase = (540 - 440)/440 * 100%

Evaluate the difference

%Increase = 100/440 * 100%

Evaluate the quotient

%Increase = 0.2272 * 100%

Evaluate the product

%Increase = 22.72%

Hence, the percentage increase is 22.72%

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[tex] {a}^{4} \: - \: {a}^{3} \: + \: {2a}^{2} [/tex]

[tex] \boxed{ \bold{ {a}^{2} \: \times \: ( {a}^{2} \: - \: a \: + \: 2)}}[/tex]

Answer:

a²​(a²​-a+2)

Step-by-step explanation:

Solution Given:

a⁴-a³+2a²​

first taking common a²​

we get

a²​(a²​-a+2) which is a required answer.

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Answer:  [tex]\textsf{Slope = 6}[/tex]

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Given:  [tex]\textsf{f(x) = 6x + 7}[/tex]

Find:  [tex]\textsf{The slope of the equation}[/tex]

Solution: Looking at the equation it is in standard form which is y = mx + b where m is the slope and b is the y-intercept.  Looking at our expression we can see that m is equal to 6 which is our slope.

Therefore, the slope of our expression is equal to 6.

Answer:

a₃ = 1.25

Step-by-step explanation:

the sum to infinity is calculated as

S ∞ = [tex]\frac{a_{1} }{1-r}[/tex]

a₁ is the first term and r the common ratio

given a₁ = 5 and S∞ = 10 , then

10 = [tex]\frac{5}{1-r}[/tex] ( multiply both sides by (1 - r)

10(1 - r) = 5

10 - 10r = 5 ( subtract 10 from both sides )

- 10r = - 5 ( divide both sides by - 10 )

r = 0.5

then

a₂ = a₁ × r = 5 × 0.5 = 2.5

a₃ = a₂ × r = 2.5 × 0.5 = 1.25

Answer:

26% increase

Step-by-step explanation:

Initial temperature= t

5% increase= t+ 5%= 1.05t

20% increase= 1.05t +20%= 1.05t*1.2= 1.26t

1.26 t= t + 26%

So temperature increased by 26%

Answer:

3 ÷ y

Step-by-step explanation:

Quotient refers to the division of two values, in this case 3 and y.

Answer:

3/y

Step-by-step explanation:

Answer:

20 can be the answer of it

Based on the calculations on the bisector of ST, the value of ST are equal to 38 and 30 respectively.

In order to determine the bisector of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

For exercise 1, we have:

ST = SM + MT

ST = 19 + 19

ST = 38.

For exercise 2, we have:

First of all, we would determine the value of x as follows;

3x - 6 = x + 8

3x - x = 8 + 6

2x = 14

x = 14/2

x = 7.

ST = SM + MT

ST = 3x - 6 + x + 8

ST = 3(7) - 6 + 7 + 8

ST = 30.

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Answer:

865

Step-by-step explanation:

if minus than answer

The value of x for the equation to the true is 2/3

Given the following functions

f f(x) = −3x + 4 and;

g(x) = 2

If the functions are equal, then;

-3x + 4 = 2

Subtract 4 from both sides

-3x = 2 - 4

-3x = -2

x = 2/3

Hence the value of x for the equation to the true is 2/3

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The first five terms of the geometric series is : -2, -6, -18, -54, -162.

Given :  [tex]a_{5} = -162[/tex]

[tex]a_{2} = -6[/tex]

We know G.P. series always increases in the form [tex]a.r^{n-1}[/tex]

Similarly, [tex]a_{5} = a.r^{5-1} = a.r^{4} = -162[/tex]

[tex]a_{2} = a.r^{2-1} = a.r = -6[/tex]

Now, [tex]\frac{a_{5} }{a_{2} } = \frac{a.r^{4} }{a.r^{1} } = r^{4-1}[/tex]

[tex]r^{3} = \frac{-162}{-6} = 27[/tex]

[tex]r = \sqrt[3]{27} = 3[/tex]

Now,

[tex]a_{2} = a.r = -6\\a.(3) = -6\\a = -2[/tex]

The first 5 terms are  :  [tex]a, a.r, a.r^{2} , a.r^{3} , a.r^{4}[/tex]

[tex]-2 , (-2).3 , (-2).3^{2} , (-2).3^{3} , (-2).3^{4}[/tex]

Therefore, The first 5 terms are  : -2, -6, -18, -54, -162.

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Answer:

P= 2l + 2W

Step-by-step explanation:

(P-2W)/2= l

(P-2W)= 2l

P-2W= 2l

P= 2l + 2W

An equation is formed of two equal expressions. The given equation can be solved for 'a' as a = K/(4+9b). Thus, the correct option is D.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation, K = 4a + 9ab can be solved for a as shown below,

K = 4a + 9ab

K = a(4+9b)

a = K/(4+9b)

Hence, the given equation can be solved for 'a' as a = K/(4+9b). Thus, the correct option is D.

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Answer:

See attached image

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answers:

5.) Yes it is, you add each one to itself to get the next number

6.) Yes, you subtract 5 from each number

7.) yes, you add 1.50 to each number

8.) Yes, you add 50 to each number

9.) No, they do not follow a pattern

10) Yes, you divide by 5 every time.

Lets solve the question,

Given dimensions are:

Length = 26 feet

Width = 14 feet

concrete walkway with width = c

After installing the concrete walkway dimensions of the walkway will be,

Length = 26 + 2c

Width = 14 + 2c

She wants to build a wooden deck around the pool with a concrete walkway of width = w

Thus the dimensions of the wooden deck around the pool will be,

Length = [tex]26 + 2c + 2w[/tex]

Width = [tex]14 + 2c + 2w[/tex]

Now the perimeter of the wooden deck will be,

Perimeter = 2(length + width)

 [tex]= 2[(26 +2c + 2w) + 2(14 + 2c + 2w)] = 2(40 + 4c + 4w) = (80 + 8c + 8w)[/tex]

Therefore, perimeter of the wooden deck would be: 80 + 8c + 8w

Perimeter = (80 + 8c + 8w)

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Answer:

The answer is B=10 and the top is called hypothenus

Answer:

x = 10

Step-by-step explanation:

The given is a right triangle, in right triangles the sum of square value of two legs (base and height) is equal to square value of hypotenuse.

Now, know the value of base and hypotenuse are 24  and 26

let x represent the missing side:

26^2 = x^2 + 24^2

676 = x^2 + 576 subtract 576 from both sides

100 = x^2 find the root of both sides

10 = x this is the length of the missing side

The explicit formula for the sequence is 3n -10

An arithmetic sequence is a series of terms which have  common difference between its consecutive numbers.

The sequence given is

−7, −4, −1, 2, 5, …

The common difference between each term is d =3

-4-(-7) = 3

-1-(-4) =3

The nth term for a sequence is given by

[tex]\rm T_n = a +(n-1)d[/tex]

Here a is the first term = -7

n is the no. of terms  = n

d is the common difference = 3

Therefore the equation will be

[tex]\rm T _n = -7 + (n-1) * 3[/tex]

[tex]\rm T _n[/tex] = -7 +3n -3

[tex]\rm T _n[/tex] = 3n -10

Therefore the explicit formula for the sequence is 3n -10 .

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Answer:

The height of the balloon at 09 18 =  788.4 meters.

Step-by-step explanation:

As the hot air balloon is descending.

and the height of the balloon n minutes after it starts to descend is [tex]h_{n}[/tex]

meters.

The height of the balloon (n +1) minutes after it starts to descend, [tex]h_{n+1}[/tex]meters, is given by

[tex]h_{n+1}[/tex]= [tex]k *h_{n}+20\\[/tex] where K is a constant

Here the balloon starts to descend from a height of 1200 meters at 09 15

So [tex]h_{n}[/tex]=1200 meters

At 09 16 the height of the balloon is 1040 meters.

So  [tex]h_{n+1}[/tex]= 1040 meters

the height of the balloon at 09 18 = [tex]h_{n+3}[/tex] meters

now  [tex]h_{n+1}[/tex]= [tex]k *h_{n}+20\\[/tex]

k = [tex]\frac{h_{n+1 }-20 }{h_{n} }[/tex]

k= (1040 - 20) ÷ 1200

k = 0.85

Now [tex]h_{n+2}[/tex] = (0.85 × 1040) +20 =904 meters

Similarly  [tex]h_{n+3}[/tex] = (0.85 × 904) +20 = 788.4 meters.

Therefore the height of the balloon at 09 18 =  788.4 meters.

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The volume of the cylinder with height 6 meters and the radius 18 meters is [tex]6,104.16 m^{3}[/tex].

The volume of a cylinder is the capacity of the cylinder which calculates the amount of material quantity it can hold.

Given that, the height of a cylinder=6 meters and the diameter of a cylinder=6×6=36 meters (A diameter that is 6 times the measure of the height)

Now, radius [tex](r)=\frac{d}{2} =18 meters[/tex]

[tex]\pi =3.14[/tex]

We know that, the volume of the cylinder[tex]=\pi r^{2} h[/tex]

[tex]=3.14\times 18^{2} \times 6 m^{3}[/tex]

[tex]=6,104.16 m^{3}[/tex]

Hence, the volume of the cylinder with height 6 meters and the radius 18 meters is [tex]6,104.16 m^{3}[/tex].

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Answer:

B = an event that in the second turn it will land on Lose a Turn. Based from the given wheel, there are 24 equal parts with three $500 and one Lose a Turn. Thus, the probability of landing on $500 then lose a turn is 1921 .

this is possible IF thewheele consists of 24 parts

The chance of landing on $500 and then Lose A Turn will be 1/192. Then the correct option is C.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

The diagram is given below.

The total number of the events will be

Total events = 24

Then the chance of landing on $500 will be

The number of favorable events will be

Favorable events = 3

⇒ 3/24

⇒ 1/8

Then the chance of the Lose A Turn will be

Favorable event = 1

⇒ 1/24

The chance of landing on $500 and then Lose A Turn will be

P = (1/24)(1/8)

P = 1/192

The chance of landing on $500 and then Lose A Turn will be 1/192.

Then the correct option is C.

The question was incomplete, but the complete question is attached below.

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The cost of renting a community center for x guest is given as y = 10x + 100

An equation is an expression that shows the relationship between two or more variables and numbers.

The standard linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the y intercept.

Let y represent the cost of renting a community center for x guest. Hence:

y = 10x + 100

The cost of renting a community center for x guest is given as y = 10x + 100

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Answer:

No solution

Step-by-step explanation:

 7x + 2y = 16 ----------------(I)

-21x - 6y = 24 -----------------(II)

[tex]\sf \dfrac{a_1}{a_2}=\dfrac{7}{-21}=\dfrac{-1}{3}\\[/tex]

[tex]\sf \dfrac{b_1}{b_2}=\dfrac{2}{-6}=\dfrac{-1}{3}[/tex]

[tex]\sf \dfrac{c_1}{c_2} =\dfrac{16}{24}=\dfrac{2}{3}\\\\ \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2} \neq \dfrac{c_1}{c_2}[/tex]

So, the lines are parallel and has no solution

Let's first gather all the information we have:

 [tex]\rm\hookrightarrow Center: (-3, 2)\\\rm \hookrightarrow Radius: 5[/tex]

Let's put that into standard form [tex](x-h)^2+(y-k)^2 =r^2[/tex]

              [tex]\rm \hookrightarrow Equation: (x+3)^2+(y-2)^2 = 5^2[/tex]

To put that equation into general form:

 ⇒ expand all the quadratics on one side and move the radius squared

      to the same side as the quadratics

           [tex](x+3)^2+(y-2)^2 = 25\\x^2+6x+9+y^2-4y+4=25\\x^2+y^2+6x-4y-12=0[/tex]

Answer: x² + y² + 6x - 4y - 12 = 0

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Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours

Let x represents hours babysitting and y represents hours tutoring

So, we have:

Earnings = Rate of babysitting * x + Rate of tutoring* y

This gives

Earnings = 5x + 10y

He wants to earn at least $95.

This means that:

5x + 10y ≥ 95

See attachment for the graph of the inequality

From the attached graph, two possible solutions are: (5, 7) and (8, 5.5)

This means that Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours

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