O is the center of the regular octagon below. Find its perimeter. Round to the nearest tenth if necessary.

This table shows the frequency of each number obtained after throwing the die 35 times

To prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.

Numbers: 1, 2, 3, 4, 5, 6

Frequency: 5, 14, 6, 4, 5, 1

Based on the given numbers, the frequency table would look like this:

Number   | Frequency

1                      5

2                     14

3                      6

4                      4

5                      5

6                       1

This table shows the frequency of each number obtained after throwing the die 35 times.

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Answer:

w = 120

x = 60

y = 120

z = 60

Step-by-step explanation:

w = 120 (vertically opposite angles)

sum of co interior angles is 180

⇒ w + x = 180 and x + y = 180

w + x = 180

⇒ 120 + x = 180

⇒ x = 180 - 120

⇒  x = 60

x + y = 180

⇒  60 + y = 180

⇒   y = 180 - 60

⇒   y = 120

z = x (corresponding angles)

z = 60

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

Answer:

1. -3/5x^41+5/12

2.   14/3 or 80/21 (see explanation in step -by -step explanation)

Step-by-step explanation:

1. For this you just have to simplify it

2. for this one if it is just  2/3 - (-4) then it would be 14/3 but if it is 2/3 - (-4)-6/7 then you get 80/21 ( to solve this you also just simplify it)

Answer:

48  

Step-by-step explanation:

1 foot is 12 inches

12x4=48

Answer: 48

Step-by-step explanation:

Good luck <3

Remember the next concepts:

1) Orthocenter: It's the point where all three altitudes of the triangle intersect. An altitude is a line that passes through a vertex of the triangle and is perpendicular to the opposite side. In an obtuse triangle, the orthocenter is outside it.

2) Incenter: It is the point of intersection of all the three interior angle bisectors of the triangle. The bisectors always cross across the inner part of the triangle. Therefore, the incenter will always be located inside the triangle.

The incenter is the center of a circumference that is tangent to all the sides of the triangle, that's why the incenter has to be inside the triangle.

3) Centroid: It is the point of intersection of its medians (the lines joining each vertex with the midpoint of the opposite side). This point always lies inside the triangle

4) Circumcenter: The circumcenter is the center of a triangle's circumcircle.

In this case, the circumference that surrounds the triangle could have its center outside the inner part of the triangle. An obtuse triangle is one of these cases.

Answer:

Step-by-step explanation:

B. incenter,

Answer:

I have no idea what the answer is because I am in 6th grade but good luck

Step-by-step explanation:

I don't know

Answer:

B.  -414,720 x⁷y⁶

Step-by-step explanation:

To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.

The binomial theorem states that for an expression of the form (a + b)ⁿ:

\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)

For the expression (2x - 3y²)¹⁰:

Therefore, each term in the expression can be calculated using:

\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)

The 4th term is when r = 3. Therefore:

\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)

So the 4th term of the given expansion is:

\(\boxed{-414720\:x^7y^6}\)

The function f(x)* = 1 + x^2 is defined for all real numbers x, so the domain is all real numbers, or (-∞, ∞).

In determining the function's output values, one must consider its collection of feasible results to extract the range. Reviewing f(x)* exhibits a minimum value of 1 due to x^2 being perpetually non-negative, while adding another factor merely preserves positivity.

Concurrently as x skyrockets, so too does the value of f(x)* given that approaching infinity generates infinitely larger powers than any constant coefficient subordinated by it. Consequently, the overall range of f(x)* becomes [1, ∞), enwrapping all feasible solutions equivalent or superior to 1.

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Therefore, the he equation of line for \(x\) is \(2\).

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that

Celinda scored two more than three times as many strikes as Teresa did while they were bowling. Celinda scored eight strikes. Let x represent the number of strikes Teresa scored.

\(8-2=6\\\\\frac{6}{3}=2\)

Hence, the equation for \(x\) is \(2\).

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Answer:

2x - 3 - (x-1)

2x - 3 -x +1

x-2

Answer:

Answer:

80,000,000

Step-by-step explanation:

Answer:

1. 5

2. 8

3. 40

Step-by-step explanation:

So rounding the factors is an easy way to estimate the product of 5.3 and 7.9.

The real answer is 41.87 and 40 is a reasonable approximation.

40 ≈ 41.87

Answer:

1. 5

2. 8

3. 40

Step-by-step explanation:

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

3(12 + 7)

Step-by-step explanation:

To find the GCF of 36 and 21, list out their factors.

36: 1, 2, 3, 4, 6, 9, 12, 18, 36

21: 1, 3, 7, 21

The greatest factor which both numbers share is 3.

Therefore, you can factor 36 + 21 as 3(12 + 7)

Answer:

1) immigrant

2) citizen

3) native born-citizen

4) quotas

5) census

6) birth rate

Step-by-step explanation:

..

Answer:

71

Step-by-step explanation:

i just want to ask a question sorry for not being helpful

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

The exponential function that represents this situation is f(x) = 42 * (0.85)ˣ

From the question, we have the following parameters that can be used in our computation:

Inital growth, a = 42

Rate of decrease, r = 15%

Using the above as a guide, we have the following:

The function of the situation is

f(x) = a * (1 - r)ˣ

Substitute the known values in the above equation, so, we have the following representation

f(x) = 42 * (1 - 15%)ˣ

So, we have

f(x) = 42 * (0.85)ˣ

Hence, the function is f(x) = 42 * (0.85)ˣ

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Question

Growth was worth $42 at tje beggining of the day. event every hour stock goes down by 15%. Write the exponential function that represents this situation.

Answer:

the first one

Step-by-step explanation:

because 4/6=2/3

2/3=6/9

so 4/6=6/9

The required answers are,

(f o g) (-4) = -14

(g o f) (-4) = 58

A function is a connection between a variety of inputs and outputs. A function is, to describe it simply, a relationship between inputs in which each input is connected to exactly one output.There is a range, codomain, and domain for every function. A function is usually referred to as f(x), where x is the input.

In the given question ,

f(x) = \(x^2-9x\)   and    g(x) = x+6

(a). (f o g)(-4)

\(=(x+6)^2-9(x+6)\\\\=(-4+6)^2-9(-4+6)\\\\=(2)^2-9(2)\\\\=4-18\\\\=-14\)

(b). (g o f)(-4)

\(=(x^2-9x)+6\\\\={(-4)^2-9(-4)}+6\\\\=16+36+6\\\\=58\)

The required answers are -14 and 58.

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The solution is, After decreasing £16870 by 3% we get, £16363.90.

Here, we have,

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

First, find the percentage of £16870 by 3%

%value = 3% * 16870

           = (3 / 100) * 16870

           = 506.1

Now, just minus with actual value

New value = actual value - %value

We know, actual value = £16870 and %value = 506.1

so, New value = 16870 - 506.1

we get, New value = £16363.90

Therefore, After decreasing £16870 by 3% we get, £16363.90

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complete question:

Decrease £16870 by 3%

Give your answer rounded to 2 DP.

If Gavin contributes towards a Pension fund (7,5% of his Basic Salary), then his net salary will be reduced by the amount he contributed towards pension fund i.e. R652.5.

1.1 Name of employee is Gavin Pillay. 1.2 UIF stands for Unemployment Insurance Fund. UIF is a benefit to provide short-term relief to workers who lose their jobs, or can't work due to illness, maternity or adoption leave. 1.3 The UIF paid by Gavin is calculated correctly.

Firstly, we need to calculate Gross Salary of Gavin, which is given as: Basic Salary + Overtime + M = R8700 + R1200 + R3201 = R13101Then, calculate total deductions from gross salary.

Total Deductions = PAYE + UIF = R1200 + 87 = R1287Hence, Gavin's net salary = Gross salary - Total Deductions = R13101 - R1287 = R11814Therefore, UIF paid by Gavin is calculated correctly as R87.1.4 This payslip is for the month of May i.e.

31/05/2023.1.5 Basic salary of Gavin = R8700. Deduct 7.5% of his basic salary to calculate his pension fund contribution. Pension Fund Contribution = 7.5/100 x R8700 = R652.5.1.6

Total deductions of Gavin includes PAYE, UIF and pension fund contribution.

Therefore, Total Deductions = PAYE + UIF + Pension Fund Contribution = R1200 + R87 + R652.5 = R1939.5.1.7

Gavin's age can not be determined as his date of birth is not provided.1.8 Address of Gavin's workplace is 21 Halsted Road, Pietermaritzburg?

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The function is negative for since the leading coefficient is positive and the highest degree is odd (9) (-inf, -6).

The function is negative for since the leading coefficient is positive and the highest degree is odd (9) (-inf, -6).

It then crosses the -6 root to turn positive until it again crosses the -2 root.

(It crosses because the odd multiplicity of both roots)

The function remains negative from -2 until root 4, where it crosses into the positive, where it does not cross since there is an even multiplicity.

In light of the aforementioned, only the first option makes sense. because the leading coefficient is positive and the highest degree is odd (9) the function is negative for (-inf, -6).

Then it crosses the -6 root to become positive until it crosses again the root -2.

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Answer:

y = -10x -6

Step-by-step explanation:

Answer:

120cm

Step-by-step explanation:

The surface area of the square pyramid is 127.4 square centimeters

A three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The given figure is a square pyramid

The formula to find surface area = a²+2a√a²/4+h²

a is the base edge length and h is the height

a is 6 cm and h is 7 cm

Surface area =  6²+2(6)√6²/4+7²

=36+12√36/4+49

=127.4 square centimeters

Hence, the surface area of the square pyramid is 127.4 square centimeters

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