Heather draws a polygon with x number of sides. The sum of the interior angles of her polygon is 60 times the number of sides. How many sides does Heathers polygon have?

Answer:

PV= $86,998,184.72

Step-by-step explanation:

Giving the following information:

Annual payments= $17,285,714.29

Number of years= 7

Interest rate= 9%

First, we need to determine the future value incorporating the interest rate.

FV= {A*[(1+i)^n-1]}/i

A= annual payment

FV= {17,285,714.29* [(1.09^7) - 1]} / 0.09

FV= $159,036,085.1

Now, we can calculate the present value:

PV= FV/(1+i)^n

PV= 159,036,085.1/1.09^7

PV= $86,998,184.72

Answer:

D) 28+32

Step-by-step explanation:

Well, if you solve the equation in the question, you derive 60.

So, solve all of the equations in the answer, and you find that the last answer choice is the only one that equals 60.

Hope this helped.

Answer:

28 + 32

Step-by-step explanation:

4(7 + 8)= 4*7+4*8= 28+32= 60

Last option is correct

Answer:

90 degrees

Step-by-step explanation:

Answer:

you didn't specify much!

So I am saying they are 45° each and that make the sum of both 90°

Step-by-step explanation:

According to the triangle sum theorem, all the angles in a triangle must add up to 180. If one angle is 90° the other two have to add up to 90°,

Answer:

The arrow stay in flight for 26.92 seconds

Step-by-step explanation:

We are given that  the height of an arrow shot from a bow on Mars is modeled by equation:

[tex]h(t) = 2.3 + 50t - 1.86t^2[/tex]

Where h(t) is the height of arrow

t is the time in seconds

Now we are supposed to find How long does the arrow stay in flight?

Substitute h(t)=0

So,[tex]2.3+50t-1.86t^2=0[/tex]

[tex]1.86t^2-50t-2.3=0[/tex]

t=-.04 , 26.92

Since the time cannot be negative

So,the arrow stay in flight for 26.92 seconds

Answer: B

Step-by-step explanation:

The probability of winning when playing regular defense is 42 over the total 50.  

42/50 = 0.84

The probabilty of also winning when playing Prevent defense is 35 over the total 50 also.

35/50 =  0.70  

0.84 is greater than 0.70 so your more likely to win playing regular defense.

B. P(win | regular) = 0.84

    P(win | prevent) = 0.70

    Conclusions : You are more likely to win by playing regular defence.

The ratio of favourable outcomes of an event and total outcomes of an event is called probability of that event.

The number of outcomes of winning by regular defence is 42 out of 50.

∴ P(win | regular) = 42/50 = 0.84

The number of outcomes of winning by prevent defence is 35 out of 50.

∴ P(win | prevent) = 35/50 = 0.70

Conclusion : You are more likely to win by playing regular defence.

Hence the option B is correct.

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Answer:

C and D.

Step-by-step explanation:

I am guessing that he wants to find if 2 is a rational number by comparing it to  the fraction [tex]\frac{\sqrt {2}}{1}[/tex]

There are a couple of reasons why Mark is not correct:

1. A number is rational only if it can be written as a fraction made up of the numerator and denominator as integers.

2. The fraction [tex]\frac{\sqrt {2}}{1}[/tex] is not equal to 2, so, he is wrong.

So, C and D would be correct.

NOTE: In case I misinterpreted the question, use 1. to judge if it is rational or not, you should get your answer.

Answer:

Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.​

Step-by-step explanation:

This is the correct answer

brainliest pls

Answer:

a=3,b=5

Step-by-step explanation:

[tex] \frac{3}{x} + \frac{5}{ {x}^{2} } \\ = \frac{3x}{ {x}^{2} } + \frac{5}{ {x}^{2} } \\ = \frac{3x + 5}{ {x}^{2} } [/tex]

so as you got it:

[tex] \frac{(ax + b)}{ {x}^{2} } = \frac{3x + 5}{ {x}^{2} } \\ a = 3 \\ b = 5[/tex]

Answer:

B. -6

Step-by-step explanation:

hope this helps!

Answer:

-6

Step-by-step explanation:

from (-6,-4) to (x,8) there are already 12 spaces in between the y- axis from -4 to 8. So because there are already 12 spaces in between you dont need to add any space between x and -6 so you can conclude that if x is -6 then there will be 12 spaces inbetween because of -4 and 8

Answer:

The Answer I think is A' (0,-2)  B' (0,0)  C(-3,0)

I will update and do the step by step when it is verified.

Step-by-step explanation:

Answer:

x ≠ 1.

Step-by-step explanation:

In mathematics, anything divided by 0 is null. It is not valid. And so, in this case, x - 1 must never equal 0, but it can be any number other than 0.

x - 1 = 0

x = 1

That means that the domain of the function is x ≠ 1.

Hope this helps!

The value of domain is,

⇒ {- ∞, ∞} - {1}

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ y = 3 / (x - 1)

Now, We can find the domain as;

Here, The function is,

⇒ y = 3 / (x - 1)

Hence, Domain is,

⇒ {- ∞, ∞} - {1}

Thus, The value of domain is,

⇒ {- ∞, ∞} - {1}

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Answer:

3 and 15

Step-by-step explanation:

Factors of 30

30 = 2 , 3 , 5 , 6 , 10, 15  

Odd numbers are: 3, 5, 15

Odd number & multiple of 3  are: 3 and 15

The required two odd numbers are 3 and 5.

We have to determine,  It is a factor of 30 and a multiple of 3 what are 2 numbers.

To obtain the factor of 30 and 2 numbers is calculated in the following steps.

The Factors of 30 are,

30 = 2 , 3 , 5 ,

And multiply the terms by 2,

[tex]= 2\times 2 , \ 2 \times 3,\ 2 \times5 \\\\=4, \ 6,\ 10[/tex]

After multiply by 2 all the term become even.

Then,

The 2 odd numbers are: 3, 5

Hence, The required two odd numbers are 3 and 5.

To know more about Odd numbers click the link given below.

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Answer:

-3

Step-by-step explanation:

we khow that the vertex form of a function is written this way :

f(x)=a(x-h)²+k

Answer:

y=-4x+18

Step-by-step explanation:

y=-6(x-3)+2x

Distribute -6 to the (x-3)

y=-6x+18+2x

Combine like terms

y= -4x+18

Answer: y = -4x + 18

Step-by-step explanation:

First do distributive property

y = (-6x + 18) + 2x

Next, combine like terms

y = -6x + 2x + 18

y = -4x + 18

Answer:

Area = 4.5 cm²

Step-by-step explanation:

Area of Triangle ABD = [tex]\frac{1}{2} Base * Height[/tex]

Where Base = 3 cm, Height = 3 cm

So,

Area = 1/2 (3*3)

Area = 9/2

Area = 4.5 cm²

Answer:

C

Step-by-step explanation:

Answer: ŷ = 0.96185X + 3.55949

Step-by-step explanation:

From the plot provided : our points are;

(19,25), (36,35),(37,39),(41,40),(44,45),(46,50),(47,49),(49,47),(51,55),(57,59),(58,60),(58,61)

According to relation:

Y = mx +c

Using the online linear regression calculator

ŷ = 0.96185X + 3.55949

The gradient or slope (m) = 0.96185

m = (y2 - y1) / (x2 - x1)

Answer:  B) 3³ x 7⁶

Step-by-step explanation:

The most they have together is 3³ and 7⁶ the Least Common Multiple is:

3³ x 7⁶

Answer:

-7/4 =x

Step-by-step explanation:

x-2(x+3) = 4(2x+3) -(x+4)

Distribute

x -2x -6 =8x+12 -x -4

Combine like terms

-x-6 = 7x +8

Add x to teach side

-x-6 +x = 7x+x+8

-6 = 8x+8

Subtract 8 from each side

-6-8 =8x+8-8

-14 = 8x

Divide by 8

-14/8 = 8x/8

-7/4 =x

Answer:

Step-by-step explanation:

[tex](x + 3) = 4 (2 x + 3)- (x + 4)\\Ope- the- brackets\\x+3 = 8x +12-x-4 \\Collect- like- terms\\x-8x+x=12-4-3\\-6x =5\\Divide-both-sides-by -6\\\frac{-6x}{-6} =\frac{5}{-6} \\x =-5/6[/tex]

Answer:  2157

Step-by-step explanation:

3 | 5    10     3      8       -6      -3  

  | ↓    15   75   234   726   2160

   5    25   78   242   720   2157  ← remainder = f(3)

Answer:

Step-by-step explanation:

f(x)=5x^(5)+10x^(4)+3x^(3)+8x^(2)-6x-3, f(3)

means that : 5x^(5)+10x^(4)+3x^(3)+8x^(2)-6x-3 is divided by x-3

it won't let me add more attachments

Answer:

If x represents the no. of adults

and y represents the children, then

x + y = 550

9x + 3.50y = 3575

Answer:

Step-by-step explanation:

Number of children = y

Number of adults = x

Total people = 550

x + y = 550 ------------------ (I)

Charge for 'y' children =3.50 * y = 3.5y

Charge for 'x' adult = 9 * x = 9x

Total amount = $ 3575

9x  + 3.5y = 3575 -------------(II)

Multiply equation (I) by (-9)

(I)*(-9)  -9x - 9y = -4950  

(II)         9x  + 3.5y = 3575  { Now add and so 'x' will be eliminated}

                  - 5.5y   =  -1375

y = -1375/-5.5

y = 250

Plug in y = 250 in equation (I)

x + 250 = 550

            x = 550 - 250

            x = 300

Number of children = 250

Number of adults = 300

Answer:

Back Section Tickets: $22.50

Front Section Tickets: $35

Step-by-step explanation:

600(12.50+x) + 450(x) = 31125

7500+600x + 450x = 31125

1050x = 23625

x = 22.50 = back section tickets

x+12.50 = 35 = front section tickets

Answer:

121

Step-by-step explanation:

Angles on a line add up to 180.

180 - 115 = 65

Angles in a circle add up to 360 degrees.

360 - 304 = 56

Angles in a triangle add up to 180 degrees.

180 - 56 - 65 = 59

Angles on a line add up to 180 degrees.

180 - 59 = 121

Following are the calculation to the angle:

Given:

Please find the given question.

To find:

angle=?

Solution:

The sum of all the angles on a line is 180.

[tex]\to 180^{\circ} - 115^{\circ} = 65^{\circ}[/tex]

A circle's angles sum up to [tex]360^{\circ}[/tex]

[tex]\to 360^{\circ} - 304^{\circ} = 56^{\circ}[/tex]

The triangle's angles sum up to [tex]180^{\circ}[/tex].

[tex]\to 180^{\circ} - 56^{\circ} - 65^{\circ}= 59^{\circ}[/tex]

The line's angles sum up to [tex]180^{\circ}[/tex].

[tex]\to 180^{\circ} - 59^{\circ} = 121^{\circ}[/tex]

Therefore, the final answer is "[tex]121^{\circ}[/tex].."

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Answer:

lcm:

just write the larger common factors:

[tex]{3}^{3} \times {8}^{4} [/tex]

gcm(gcd):

just write the smaller factors:

[tex] {2}^{3} \times {6}^{7} [/tex]

Answer:

8, 16, 26

Step-by-step explanation:

1 squared + (5*1) + 2 = 8

2 squared + (5*2) + 2 = 16

3 squared + (5*3) + 2 = 26

Hope it helps !

Answer:

8, 16, 26

Step-by-step explanation:

To find the first 3 terms substitute n = 1, 2, 3 into [tex]T_{n}[/tex] , that is

[tex]T_{1}[/tex] = 1² + 5(1) + 2 = 1 + 5 + 2 = 8

[tex]T_{2}[/tex] = 2² + 5(2) + 2 = 4 + 10 + 2 = 16

[tex]T_{3}[/tex] = 3² + 5(3) + 2 = 9 + 15 + 2 = 26

Answer:

Step-by-step explanation:

If he earns $2 per hot dog sold, then the algebraic expression for this is 2x, where x is the number of hot dogs sold. If he has to put out $48 to buy the supplies, that is represented as -48. The function, then, that represents the profit earned by selling the hot dogs is

y = 2x - 48

Answer:

c

Step-by-step explanation:

Answer:

a^2-ab+3ab^2-2b^2

Step-by-step explanation:

-2a^2b+a^2-5ab+3ab^2-b^2+2(a^2b+2ab)

Open parenthesis

-2a^2b+a^2-5ab+3ab^2-2b^2+2a^2b+4ab

Add

-2a^2b+2a^2b=0

We have

a^2-5ab+3ab^2-2b^2+4ab

Add

-5ab+4ab=-ab

We have

a^2-ab+3ab^2-2b^2

Answer:

Hello!

~~~~~~~~~~~~~~~~~`

Profit % = (Profit/C.P)*100

= (1000/8000)*100

= 12.5%

Step-by-step explanation:

Cp of 1000glass =8000

100were broken =8000-800=7200

now there were 900 glass tumblers left he sold at rs10 each =9000

there for sp is bigger than cp

P in rs =9000-8000=1000

Hope this helped you! Brainliest would nice..!

☆_________________❤︎________________☆

Hey there! :)

Answer:

19 units.

Step-by-step explanation:

The sides of a Rhombus are all congruent. Therefore:

x + 10 = 3x - 8

Subtract both sides by x:

10 = 2x - 8

Add 8 to both sides:

18 = 2x

Divide both sides by 2:

18/2 = 2x/2

x = 9.

Find the side length by plugging x into an equation:

(9) + 10 = 19 units.

Answer:

D, the lines coincide.

Step-by-step explanation:

isolate the y so theres no 2y, only y:

2y = 8 - 2x (divide both sides by 2)

y = 4 - x

The lines are the same line, so while they are plural, they also coincide, as one lies on top of the other.

Hope this helps :) Brainliest??

Answer:

its D

Step-by-step explanation: