A regular polygon has n sides.
How many pairs of parallel sides does the polygon have if:
a) n is odd?
b) n is even?

Answer:

=  -10

Step-by-step explanation:

p + (-q) - 2 = x

if:

p = -3

q = 5

then:

-3 + (-5) - 2 = x

we know that:

+(-) = -

then:

-3 +(-5) - 2 = -3 - 5 - 2 = x

x = -10

The value of the expression p + (-q) - 2 is -10 if the p = -3 and q = 5 the answer is -10.

It is defined as the combination of constants and variables with mathematical operators.

We have given an expression:

= P + (-q) - 2

Plug p = -3

q = 5

= -3 + (-5) - 2

= -3 - 5 - 2

= -10

Thus, the value of the expression p + (-q) - 2 is -10 if the p = -3 and q = 5 the answer is -10.

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We have to use the formula  [tex]n = log_{r} (1+\frac{S_{n}(1-r) }{a})[/tex]  to find the number of terms of a finite geometric sequence.

If a be the first term of a finite sequence, r be the common ratio between consecutive terms and n be the number of terms.

So, we have to use the formula of sum of sequence and then calculate it to reduce the equation to find the value of number of terms, that is n.

Then, Sum of the sequence (Sn) = [tex]\frac{a(1-r^{n}) }{1-r}[/tex]

Here, in the given problem,

Sum(Sn) = 280, First term of the sequence(a) = 40, Common ratio(r) = 0.75

So, Sn = [tex]\frac{a(1-r^{n}) }{1-r}[/tex]

   ⇒ [tex]1-r^{n} =\frac{S_{n}(1-r) }{a}[/tex]

   ⇒ [tex]r^{n} =1+\frac{S_{n}(1-r) }{a}[/tex]

   ⇒ [tex]n = log_{r} (1+\frac{S_{n}(1-r) }{a})[/tex]          

Now you have to put the values and get the number of terms.

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Answer:

The correct linear inequality is y<2/3x+3

Step-by-step explanation:

Linear inequalities are defined as expressions in which two linear expressions are compared using the inequality symbols

In the graph, the grey region corresponds to the region non-allowed by inequality. We see that for x=0, y is allowed to be only less than 3: this means that the correct inequality must be in the form y<mx+3, so only the 1st option or the 4th option.

In order to choose the correct option, we should find the value of m, the slope of the line in the graph. This slope can be found by calculating the variation of y divided by the variation of x:

m=dy/dx

Choosing for example the points x=0 (which corresponds to y=3) and x=3 , we find

So, the equation of the line is y=2/3x+3

and so the correct inequality is

y<2/3x+3

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Answer:

72 Degrees

Step-by-step explanation:

We know that its 72 because of VAT, the vertical angle theorem.

Answer:

Step-by-step explanation:

The future value can be computed using the formula for an annuity due. It can also be found using any of a variety of calculators, apps, or spreadsheets.

__

The formula for the value of an annuity due with payment P, interest rate r, compounded n times per year for t years is ...

  FV = P(1 +r/n)((1 +r/n)^(nt) -1)/(r/n)

  FV = 5000(1 +0.06/4)((1 +0.06/4)^(4·3) -1)/(0.06/4) ≈ 66,184.148

  FV ≈ 66,184.15

The attached calculator screenshot shows the same result. The calculator needs to have the begin/end flag set to "begin" for the annuity due calculation.

__

The future value of the annuity due is $66,184.15.

The total interest earned is the difference between the total of deposits and the future value:

  $66,184.15 -(12)(5000) = 6,184.15

A total of $6,184.15 in interest was earned by the annuity.

Answer:

4. They are supplementary

Answer:

4 they are supplemental

In logarithmic form, we get In(2e^9)= ln(2)+9.

We are given,

 ln(2[tex]e^{9}[/tex])

We know that, ln(ab) = ln(a) + ln(b)

So we get,

 ln(2[tex]e^{9}[/tex]) = ln(2)+ln([tex]e^{9}[/tex])

Since ln(m^n)=n ln(m)  

And ln(e)= 1, we will get,

ln(2[tex]e^{9}[/tex]) = ln(2) +9 ln(e)

          = ln(2) +9

Hence, the logarithmic form, we get In(2e^9)= ln(2)+9.

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Answer: (1, -10)

Step-by-step explanation:

Since both of the equations are set equal to y, we can conclude that:

[tex]-x^2 -5x-4=-x^2 + 9x-18\\\\-5x-4=9x-18\\ \\ -14x-4=-18\\\\-14x=-14\\\\x=1[/tex]

If x=1, then [tex]y=-(1)^{2}+9(1)-18=-10[/tex]

Thus, the solution is (1, -10)

Answer:

n(-9+ n) =0

Step-by-step explanation:

-9n+n^2=0   Kind of use 'reverse distributive' property

n (-9 + n) = 0

The answer choice which represents a relative frequency bar graph is; A bar graph titled social media preferences has platform on the x-axis. Upstart, 0.10; Aster, 0.25; Babble, 0.30; Techy, 0.35.

The statistical definition of relative frequency is simply the ratio of the frequency of an event in a statistical experiment with respect to the total frequency. Hence, since the frequencies in the social media bar chart as decimals (fractions of a whole), it follows that it is a relative frequency representation.

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Answer  Its B

Step-by-step explanation:Edge 2022 I guess

Answer:

operant conditioning and schedules of reinforcement

The probability will last longer than 2 years will be 3.3%.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

First let us calculate the z score using the formula:

[tex]z = \dfrac{(x- \mu)} { s}[/tex]

where x = 2, u is the mean = 3.1 years, and s is the standard deviation

[tex]z =\dfrac{ (2 - 3.1) }{ 0.6}[/tex]

z = -1.83

From the standard probability tables, the p-value at z = -1.83 is:

P = 0.033 = 3.3%

Therefore the probability that will last longer than 2 years will be 3.3%.

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We conclude that the line that passes through (0, 0) and (2, -3) is perpendicular to line l.

Remember that two lines are perpendicular only if the slope of one of the lines is equal to the opposite of the inverse of the slope of the other line.

So, if line l has the slope 2/3.

Then the perpendicular lines have a slope equal to -3/2.

Now, remember that if a line goes through two points (x₁, y₁) and (x₂, y₂), then the slope of that line is:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So here we just need to find two points (x₁, y₁) and (x₂, y₂) such that the slope is equal to -3/2.

If we define (x₁, y₁) = (0, 0), then the other point must be:

[tex]a = \frac{y_2 - 0}{x_2 - 0} = -3/2\\\\y_2/x_2 = -3/2[/tex]

Then we can write the other point as (2, -3).

So we conclude that the line that passes through (0, 0) and (2, -3) is perpendicular to line l.

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The equation to model the above scenario is [tex]x^{2}[/tex] +22x - 23 = 0

The perimeter of the expanded rectangle is 48 units

A rectangle is a quadrilateral with its 4 angles 90°

Analysis:

First rectangle:

length = 10 + x

width = x

Second rectangle:

length = x + 14

width = x + 8

Area of expanded rectangle = 135 square unit

(x+8)(x+14) = 135

[tex]x^{2}[/tex] + 8x + 14x + 112 = 135

[tex]x^{2}[/tex] + 8x + 14x -23 = 0

[tex]x^{2}[/tex] + 22x -23 = 0

[tex]x^{2}[/tex] + 23x - x - 23 = 0

(x-1)(x+23) = 0

Therefore x = 1

Expanded length = 1+14 = 15

Expanded width = 1+8 = 9

Perimeter = 2(9+15) = 48 units

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Answer:

25:16

50:32

100:64

Step-by-step explanation:

The equation -2(5x+8) = 14+6x solved using step by step representation is x = -15/8.

The equation to be considered as given in the task content is; -2(5x+8)=14+6x.

It follows from the task content that the steps for solving the equation are as follows;

-2(5x+8) = 14+6x

-10x - 16 = 14 + 6x

-10x - 6x = 14 + 16

-16x = 30

x = 30/-16

x = -15/8

Hence, the value of x upon solving the equation is; -15/8.

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Answer:

The answer is 28

Step-by-step explanation:

ms..s.s..snskkzkzklzlzls

Answer:

first one L second one D

Step-by-step explanation:

Answer:

Gabrielle is 27

Mikhail is 9

Step-by-step explanation:

g = 3m

g + m = 36

since g = 3m we can substitute it in the equation

g + m = 36 as

3m + m = 36

4m = 36

m = 9

3m = 27 which is g

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Answer:

18

Step-by-step explanation:

Using order of operations:

[tex] \frac{15 - 9}{3} (19 - 10)[/tex]

[tex] \frac{6}{3} (9)[/tex]

[tex]2(9) = 18[/tex]

Answer: Choice B) One-sixth

In other words, the fraction 1/6

===========================================================

Explanation:

The base, aka horizontal component, is 6 units long. Count out the spaces from -5 to 1 to get a result of 6.

Or you could subtract and use absolute value in either of these two ways

Where A = -5 and B = 1 are the endpoints mentioned. Absolute value is used to ensure the result of the subtraction isn't negative. Negative distance on a number line doesn't make sense.

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However you determine the base, we'll multiply it by the unknown height which we'll call h. This leads to the area of the rectangle. The area is 6h.

Rule: The area under a probability density curve must always be 1.

So the area 6h must be 1 which helps us see that...

6h = 1

h = 1/6

Divide both sides by 6 to isolate h fully.

Answer:

B

Step-by-step explanation:

Answer:

[tex]24m + 32[/tex]

Step-by-step explanation:

[tex]8(3m + 4) = 24m + 32[/tex]

Explanation:

Add up the given decimal values

0.03+0.14+0.65+0.08 = 0.90

Recall that all of the P(X) values must add to 1 to represent 100% of all possible outcomes. So far we added to 0.90, so we're missing 1 - 0.90 = 0.10

As a check,

0.03+0.14+0.65+0.08 + 0.10 = 1

Answer:

340 i am pretty sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the Law of Cosines,

[tex]a^{2}=b^2 + c^2 - 2bc \cos A\\\\13^{2}=14^{2}+18^{2}-2(14)(18) \cos A\\\\-351=-504 \cos A\\\\\cos A=\frac{351}{504}\\\\A=\boxed{\cos^{-1} \left(\frac{351}{504} \right)}[/tex]

Answer: 83

Step-by-step explanation:

The equation of the line in point-slope form is

[tex]y-3=4(x-2)[/tex]

Substituting in x = 22,

Answer: (0, -6) and (1, -5)

Step-by-step explanation:

If [tex]x-y=6[/tex], then [tex]y=x-6[/tex]. Substituting this into the second equation,

[tex]x-6=x^{2}-6\\\\x^{2}-x=0\\\\x(x-1)=0\\\\x=0, 1[/tex]

If x=0, y=-6.

If x=1, y=-5.

So, the solutions are (0, -6) and (1, -5)

Step-by-step explanation:

2(x + 2) + 5(x + 5) = 4(x-8) + 2(x - 2)

2x+4+5x+25=4x-32+2x-4

7x+29=6x-36

7x-6X=-36-29

X=-65

Answer:

x = -65

Step-by-step explanation:

2(x + 2) + 5(x + 5) = 4(x-8) + 2(x - 2) ​

Distribute:

2(x + 2): 2x + 4

5(x + 5): 5x + 25

=

4(x - 8): 4x - 32

2(x - 2): 2x - 4

Combine like terms:

(2x + 4) + (5x + 25) = (4x - 32) + (2x - 4)

5x + 2x: 7x              =  4x + 2x: 6x

4 + 25 = 29             =  -32 - 4: -36

7x + 29 = 6x - 36

Now we want to separate like terms,

subtract 29 from both sides

subtract 6x from both sides

7x + 29 - 29 - 6x = 6x - 29 - 6x- 36

7x - 6x = - 29 - 36

x = -65

Answer:

54√2

Step-by-step explanation: