!!PLEASE HELP 25 POINTS!! The graph of an absolute Value

First term = a= -10

common difference=d= -8+10 = 2

n= 98

the 98th term = a+(n-1)d = -10+ (98-1)2

= -10+(97)2 = -10 +194

=184

98th term of the given arithmetic sequence is 184.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.

The given arithmetic sequence is -10, -8, -6,......

Here, a=-10, d=-8-(-10) = 2

So, aₙ=-10+(n-1)×2

aₙ=-10+2n-2

aₙ=2n-12

a₉₈=2×98-12

a₉₈=184

Therefore, 98th term of the given arithmetic sequence is 184.

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Answer:

[tex]\text{A) }68\:\mathrm{cm}[/tex]

Step-by-step explanation:

The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.

Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.

To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a [tex]90^{\circ}[/tex], creating right triangles [tex]\triangle TOP[/tex] and [tex]\triangle SOP[/tex].

The Pythagorean Theorem states that the following is true for any right triangle:

[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or the longest side, of the triangle

Thus, we have:

[tex]10^2+TP^2=26^2,\\TP^2=26^2-10^2,\\TP^2=\sqrt{576},\\TP=24[/tex]

Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.

What we know:

Thus, the perimeter of the quadrilateral PTOS is equal to [tex]24+24+10+10=\boxed{\text{A) }68\:\mathrm{cm}}[/tex]

Answer:

the other one should get a brainliest.

I'm just answering to make it technically possible.

Answer:

x = 6

Step-by-step explanation:

Given

4x - 2 = 2x + 10 ( subtract 2x from both sides )

2x - 2 = 10 ( add 2 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Answer:

Try 750 ft?

Step-by-step explanation:

Proportion:

800/500 = 1,200/x

Solve:

1,200 / 800 = 1.5

1.5 * 500 = 750

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Answer:

32

Step-by-step explanation:

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Purchase price= $56,900

Decrease in value= 8.1% per year from the previous year

To calculate the value of the sailboat after x number of years, we need to use the following formula:

Future value= purchase price / (1 + decrease in value)^x

For 10 years:

FV= 56,900 / (1.081^10)

FV= $26,112.91

Answer:

A

Step-by-step explanation:

Desnity: mass/volume

3/20= .15

Answer:

182.353745

Step-by-step explanation:

[tex]\frac{0.482 x61.2^2}{\sqrt{98.01} }[/tex]

Exponent First!

61.2^2 = 61.2 × 61.2 = 3745.44

Next, start multiplying it by 0.482

3745.44 × 0.482 = 1,805.30208

Then Solve for the Square root of 98.01

[tex]\sqrt{98.01}=9.9[/tex]    

Finally, divide 1,805.30208 by 9.9    

1,805.30208 ÷ 9.9 = 182.353745

Answer:

Step-by-step explanation:

Answer:

The answer will be 2a×3=6a

Answer:

Tras 10 días la acción habrá caído $795.

Step-by-step explanation:

Dado que durante 8 días el precio de una acción de una compañía X cae 720 pesos, en el noveno día sube 45 pesos y el decimo día cae 120 pesos, `para determinar el valor de las acciones al terminar el decimo día se debe realizar el siguiente cálculo:

X - 720 + 45 - 120 = Valor

X - 840 + 45 = Valor

X - 795 = Valor

Por lo tanto, tras 10 días la acción habrá caído $795.

Answer:

Step-by-step explanation:

angle a=40 degree (being vertically angles)

angle a + 90 +angle b=180 degree (being sum of interior angles of a triangle)

40 +90 +angle b=180

130 + angle b=180

angle b=180-130

angle b =50 degree

vrtically opposite of angle b

vertically opposite of angle b + missing angle=65 degree (sum of two intrior opposite angle is equal to the exterion anle formed)

40 degree + missing angle=65

missing angle=65-40

missing angle=25 degree

angle c+ vertically opposite of angle b + missing angle=180 degree (being sum of interior angles of a triangle)

angle c +50 +25 =180

angle c+75=180

angle c=180-75

angle c=105 degree

Answer:

6x²+17x-12

Step-by-step explanation:

(2x-3)(4-3x)

8x-6x²-12+9x

Reorder.

6x²+9x+8x-12

Combine like terms.

6x²+17x-12

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hope it helps

Option C is correct, 6n(n³-4n²+3) is the  factored form of expression 6n⁴ – 24n³ + 18n

An expression is combination of variables, numbers and operators.

The given expression is 6n⁴ – 24n³ + 18n.

Six times of n power four minus twenty four times of n cube plus eighteen times of n.

6n⁴ – 24n³ + 18n.

Now we have to find the factored form of 6n⁴ – 24n³ + 18n.

Take 6n as common

6n(n³-4n²+3)

Hence, Option C is correct, 6n(n³-4n²+3) is the factored form of expression 6n⁴ – 24n³ + 18n

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I DONT SPEAK ENGLISH, I'M BRAZILLIAN

Answer:

brainllest if right

b

Step-by-step explanation:

Answer:

yes the triangle are similar

The correct name for a side of the angle is C!

Answer:

C. ED

Step-by-step explanation:

Answer:

you didnt provide the other 2 measurements, its length x width x height for volume

Answer: [tex]7\times 10^{-1}[/tex]

Step-by-step explanation:

Given

[tex](4.0\times 105)\div (5.89\times 102)[/tex]

First solve the brackets part in calculator, we obtain

[tex]\Rightarrow 420\div 600.78\\\\\Rightarrow \dfrac{420}{600.78}=0.69909\approx 0.70\\\\\Rightarrow 7\times 10^{-1}[/tex]

Answer:

Using the property of intersecting secant:-

[tex](DE)(CE)=(FE)(LE)[/tex]

[tex](4)(x-1+14)=(5)(x-4+5)[/tex]

[tex]4(x+3)=(5x+1)[/tex]

[tex]4x+12=5x+5[/tex]

[tex]4x+-5x=5-12[/tex]

[tex]-x=-7[/tex]

[tex]x=7[/tex]

[tex]So, CD=x-1=7-1=6[/tex]

[tex]so,~your ~answer ~is ~B) ~6[/tex]

By intersecting secants theorem, the measure of CD is 6 units.

The theorem states that when two secants intersect at an exterior point, the product of the one whole secant segment and its external segment is equal to the product of the other whole secant segment and its external segment.

For the given situation,

The diagram shows the circle with the two secants intersecting at the exterior point.

By intersecting secants theorem,

[tex](CE)(DE)=(LE)(FE)[/tex] -------- (1)

Here, CE = CD + DE

⇒ [tex]CE = (x-1)+4[/tex]

DE = 4

LE = LF + FE

⇒ [tex]LE = (x-4)+5[/tex]

FE = 5

On substituting the above values in 1,

⇒ [tex](x-1+4)(4)=(x-4+5)(5)[/tex]

⇒ [tex](x+3)(4)=(x+1)(5)[/tex]

⇒ [tex]4x+12=5x+5[/tex]

⇒ [tex]5x-4x=12-5[/tex]

⇒ [tex]x=7[/tex]

Thus CD = [tex]x-1[/tex]

⇒ [tex]7-1=6[/tex]

Hence we can conclude that by intersecting secants theorem, the measure of CD is 6 units.

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Answer:

$100

$120 in and $20 out

Step-by-step explanation:

Answer:

the answer is $100

because if the bank is loosing 2% they are having to pay $20 bc 0.02 x 1,000= 20, and they are earning 12% they getting 120 bc 0.12 x 1,000 = 120, and 120-20= $100. you have to subtract the $20 because that is what the bank is paying, so it's losing money

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

Arrange the value into the ascending order:

[tex]62, 88, 89, 90, 92, 95, 96, 98, 100, 100[/tex]

Calculating the Range:

[tex]= Greatest - Lowest\\\\= 100 - 62\\\\ = 38[/tex]

Outlier =  This might be the value "far" from other data values= 62

The range of scores would be, sans outlier,

 [tex]88, 89, 90, 92, 95, 96, 98, 100, 100[/tex]

Calculating the range without outlier [tex]= 100 - 88 = 12[/tex]

Inter Quartile Range [tex]= Q_3 - Q_1[/tex]

[tex]IQR = 98 - 89 = 11[/tex]

Calculating the IQR without outlier [tex]= 99 - 89.5 = 9.5[/tex]

Therefore,

Option a is "True".

Option b is "True".

Option c is "True".

Option d is "False".

Option e is "False".

Option f is "True".

Answer:

A.

Step-by-step explanation:

Vertical shifts are represented by - or +, and they are not within the parenthesis. Since the function is being shifted down by 2 units, the correct answer is A.

Answer:

17pigs and 11 chicken  

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

[tex]\sqrt{25}[/tex] is equal to 5, so we can sub it in the equation.

This gives 12-3×5 or 12-15.

This solves to -3.

**This content involves simplifying surds, which you may wish to revise. I'm always happy to help!

Answer:

7/12 h

Step-by-step explanation:

1/3 of 1 3/4  =  1/3 of 7/4 = 1/3 x 7/4  =  7/12 h

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Answer:

x = 1

y = 1

Step-by-step explanation:

3x - 2y = 1

2x + 2y = 4

3x - 2y + 2x + 2y = 1 + 4

3x + 2x = 5

5x = 5

5x ÷ 5 = 5 ÷ 5

x = 1

2x + 2y = 4

2(1) + 2y = 4

2 + 2y = 4

2 - 2 + 2y = 4 - 2

2y = 2

2y ÷ 2 = 2 ÷ 2

y = 1

Check:

3x - 2y = 1

3(1) - 2(1) = 1

3 - 2 = 1

x and y being 1 works for the first equation.

2x + 2y = 4

2(1) + 2(1) = 4

2 + 2 = 4

x and y being one works for both equations.