A figure is a regular n-gon. Which of the following
expressions represents the sum of the measures of
the exterior angles of the polygon, one at each
vertex?
A. (180 - 10°
360
B. 180
12
C. (n - 2)180°
D. 360°

Answer:

a,b,e

Step-by-step explanation:

Answer:

B, C and E

Step-by-step explanation:

Answer:

Equation is;

P = I(1 + r)^n

The population is 328

Step-by-step explanation:

Here we want to model the situation and use the modeled equation to predict population.

This follows an exponential pattern with similarity to the amount paid on a compound interest

Mathematically, we can have the equation as;

P = I(1 + r)^n

Where P is the population we want to calculate

I is the initial population in 1995 = 200 people

r is the rate of increase = 2% = 2/100 = 0.02

n is the difference in the number of years = 2020-1995 = 25

Thus the population would be;

P = 200(1 + 0.02)^25

P = 200(1.02)^25

P = 328.12

which is 328 approximately

Answer:

4%

Step-by-step explanation:

R=INTEREST X 100% / TIME X PRINCIPAL

r=40 x 100=4000

4000/500 x 2=1000

4000/1000=4%

Answer:

Two imaginary solutions.

Step-by-step explanation:

In order to simplify the equation, we square root both sides. As the argument (value in the root) is negative, and we know that the square root function's domain is only positive numbers, we would have two imaginary solutions.

This would be positive/negative [tex]3i\sqrt{5}[/tex].

Another way to visualize this is by looking at the parabola's graph. Through algebraic manipulation, we know that the parabola is z^2 + 45. This parabola never crosses the x-axis. Therefore there are two solutions that are imaginary.

I hope this helps!

Answer:

4

Step-by-step explanation:

Starting at the left end of the wall, you'll find that you can set four (4) tiles end to end along this wall.

Answer:

Step-by-step explanation:

if we have n people and we want to do groups of 5, the total number of different combinations is:

[tex]c = \frac{n!}{(n - 5)!5!}[/tex]

find the smallest n such c > 365.

let's do it by brute force:

if n = 5, we have:

[tex]c = 5C_5 = 5[/tex]

if n = 6

[tex]c =6C_5 =6[/tex]

if n = 7

[tex]c = 7C_ 5= 21[/tex]

if n = 8

[tex]c = 8C_5 = 56[/tex]

if n = 9

[tex]C = 9!/(4!*5!) = 126[/tex]

so 9 is not enough, let's see N = 10

C = 10!/(5!*5!)  = 252

10 is not enough, let's see with 11.

C = 11!/(6!*5!) =  462

So you need at least 11 members in the club.

Then the minimum number of members such we have more than 365 combinations is 11 members

Client need al least 11 members in the club.

According to the question,

Group of five members, the combination will be:

→ [tex]c = \frac{n!}{(n-5)! \ 5!}[/tex]

By using Brute force,

If n = 5,

c = 5,

C₅ = 5

If n = 6,

c = 6,

C₅ = 6

If n = 7,

c = 7,

C₅ = 21

If n = 8,

c = 8,

C₅ = 56

Now,

If n = 9,

→ C = [tex]\frac{9!}{(4!\times 5!)}[/tex]

      = 126

and, If n = 10,

→ C = [tex]\frac{10!}{(5!\times 5!)}[/tex]

      = 252

and, If n = 11,

→ C = [tex]\frac{11!}{(6!\times 5!)}[/tex]

      = 462

Then perhaps the minimal number of individuals required to have more than 365 possible combinations seems to be 11.

Thus the response above is correct.

Find out more information about combination here:

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Answer:

$39.6

Step-by-step explanation:

Answer:

It's 8 the answer is 8

Step-by-step explanation:

∠8 and ∠16 are corresponding angles with ∠12  

the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal

According to the question,

Given the diagram we have to find the angles which are corresponding angles with ∠12.

Those angles which are on the same side of traversal called corresponding angles.

By definition of corresponding angles the angles which are corresponding to ∠12 are ∠8 and ∠16. These angles lie on same side of traversal line.

Hence, ∠8 and ∠16 are corresponding angles with ∠12

Option 1 is correct.

To learn more about corresponding angles from here

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Answer:

18°

Step-by-step explanation:

sin 2x=cos zy

m(2x)=72°

cos(π/2-a)=sin a

cos(π/2-72°)=sin72°

cos18°=sin72°

=>m(zy)=18°

Answer:

10x³ - 6x² - 9x + 12

Extra information:

★ Cubic polynomial: A polynomial of degree three is called cubic polynomial.

It is of the form P ( x ) = ax³ + bx² + cx + d [ Where a,b,c,d are real numbers and a is not equal to 0 . ]

Answer:

(2+sqrt3)

Step-by-step explanation:

Assertion(A): (2-√3) is one zero of the quadratic polynomial then the other zero will be (2+√3).

Reason (R): Irrational zeros (roots) always occurs in pairs.

Since the given polynomial is a quadratic so it has only two zeros. Let other zero be x. Hence, the other zero is (2 -√3).

Polynomials that have only one zero mean both values of the variable are the same. This is the case of equal zeros of a quadratic equation. Let x be the variable of a quadratic equation and both zeroes of the quadratic equation are 2, i.e., equal roots.

Learn more about quadratic polynomial at

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Answer:

90 days.

Step-by-step explanation:

dy/dt = - 0.0032y

dy = -0.0032y dt

dy/y = -0.0032 dt

Integrating:

ln y = -0.0032t + c     where c is some constant

y = e^(-0032t) + e^c

y = A e^(-0032t)   where A is a constant.

At time 0 we can let y = 1 so in that case A = 1

When there is 0.75 of y left:

0.75 = e^-0032t

ln 0,75 =  -0032 t

t = ln 0.75 / -0032

t = 90.

Answer:

B. 90 days

Step-by-step explanation:

Edge 2022

sorry I don't want to give you the wrong answer

Answer:

42 units²

Step-by-step explanation:

It can be split in two parts:

rectangle with sides of 1 and 12 units and

a right triangle with base (6-1)= 5 units and the height of 12 units.

then the area:

Answer:

StartFraction 5 over 3.5 EndFraction = StartFraction 12 over x EndFraction

or [tex]\frac{5}{3.5}[/tex] = [tex]\frac{12}{x}[/tex]

Step-by-step explanation:

Answer:

it’s D

Step-by-step explanation:

Answer:

-1/5

Step-by-step explanation:

h(0) is 5, and h^-1 is 1/h, so 1/-5 is -1/5.

Answer:

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = number of expected outcome/total outcome.

a)Total number of student is the total outcome = 40

Expected number of outcome is the number of students who bought 20 or more books = 6 (number of students who bought 20-24 books)

Probability of those students who bought 20 or more books =  6/40 = 0.15

Expressing as percentage = 0.15 * 100 = 15%

This means that 15% of the total students bought 20 or more books

b) Mean is calculated using the formula [tex]\overline x =\frac{\sum fx}{N}[/tex]

f is the frequency

x is the midpoint of the class interval

N is the total number of students.

Check the attachment for the frequency table.

[tex]\overline x = \frac{410}{40}\\ \overline x = 10.25[/tex]

Mean number of books bought is 10.25

Answer:

4x is a monomial

Step-by-step explanation:

it has one type of term, in this case one with a variable

Answer:

D.

Step-by-step explanation:

The simplest and fastest way to answer this question is to graph the equations given. Once you do so, then you should see that D is the correct answer.

Answer:

You can not select three options, but only these two:

the graph has a domain of all real numbers

the graph has a range of y≥1

Step-by-step explanation:

See attachments.

Answer:

are there answer choices because if there is i can help you

Step-by-step explanation:

0 = 4 - 7 x^2 + x

0= (-7)x^2 + (1)x + 4

a= -7

b = 1

c= 4

Answer:

£16.50

Step-by-step explanation:

[tex]x \times (1+\frac{10}{100} )=18.15[/tex]

[tex]x \times \frac{110}{100} =18.15[/tex]

[tex]\frac{110}{100} x=18.15[/tex]

[tex]1.1x=18.15[/tex]

[tex]\frac{1.1x}{1.1}=\frac{18.15}{1.1}[/tex]

[tex]x=16.5[/tex]

Answer: £16.50

Step-by-step explanation:

Let the original cost be x

x + 10/100x = 18.15

1.1x = 18.15

x = 16.50

Answer:

B

Step-by-step explanation:

Standard form is just descending powers.

Highest power in the polynomial is 5,

Second highest is 2,

Third Highest is 1 (x^1 = 9x)

Lowest is x^0 (the 12 is actually 12*x^0 = 12*1)

:-)

Answer:

x+5

Step-by-step explanation:

Side is equal to sqrt area

= sqrt x^2 +10x + 25

= x+5

So one side of the square is x+5 metres

Answer:

(x+5) meters long

Step-by-step explanation:

x^2 + 10x+25

We recognize that this is a perfect square trinomial

a^2 + 2ab+b^2 = (a+b)^2

x^2+2*5*x+5^2 = (x+5)^2

Since this is a square

A = s^2 where s is the side length

(x+5) ^2 =s^2

Each side is (x+5)

Answer: width = 16 ft.

Step-by-step explanation:

let width be w

Length is w + 20

Given

w + 20 = 36

w = 36 - 20

w = 16

Answer:

16 ft

Step-by-step explanation:

l= w+20

36= w+20

w= 36-20

w=16 ft

Answer:

9 and 11

Step-by-step explanation:

Answer:

$96.50

Step-by-step explanation: