If an exterior angle of a regular polygon is 24", then what is the measure of one of its interior angles.

Answer:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Let's solve your equation step-by-step.

7x−3=18

Step 1: Add 3 to both sides.

7x−3+3=18+3

7x=21

Step 2: Divide both sides by 7.

7x/7 = 21/7

x=3

The next three fractions in the pattern are 4/20 = 5/25 = 6/30.

In mathematics, there are three primary types of fractions. These three categories are proper fractions, improper fractions, and mixed fractions. Fractions are expressions that have a prime and a denominator. We divide its types into these two categories.

Analysis

This is equivalent fraction multiply 1/5 with 4,5,6, up and down fraction.

1/5*4/4 = 4/20

1/5*5/5 = 5/25

1/5*6/6 = 6/30

So, the answer will be \(\frac{4}{20} =\frac{5}{25} = \frac{6}{30}\)

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Answer:

\(d \approx 12.6\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Point (-4, -6)

Point (8, -10)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Therefore, B's share is Rs. 30,000 and C's share is Rs. 40,000.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.

Here,

Let the total sum of money be x.

Then, according to the given ratio, A's share is 2/9 of the total sum, so we have:

2/9 * x = 20000

Multiplying both sides by 9/2, we get:

x = 90000

Now, we can find the shares of B and C as follows:

B's share = 3/9 * 90000 = 30000

C's share = 4/9 * 90000 = 40000

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When writing a proof, you should construct the first statement by copying the “prove” statement(s) from the original problem. The Option B is correct.

When constructing the first statement in a proof, it is important to begin with copying the “prove” statement(s) from the original problem. This involves writing the next statement based on the given or previously proven statements.

It is not helpful to write a justification for the first statement in the right column without considering its logical connection to the problem. By beginning with a logically connected statement, the proof can proceed in a clear and organized manner which leads to a valid conclusion.

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Answer:    140°

Step-by-step explanation:

Heptagon is a seven-sided polygon. So heptagon has 7 angles.

As known the sum of the angles in poligon is

N=180°*(n-2)

So N(7)=180°*(7-2)=900°

if the sum of 2 angles are 200° then  the sum of residual 5 angles is

900°-200°=700°

The remaining 5 angles are equal so each of them is

∠α=700°:5=140°

Z-score is 1.27 for x = 72.

According to this z-score, x = 72 is 1.27 standard deviations away from the mean.

What is Standard Deviation?

The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given,

On a typing test, John averages 58 words per minute with a standard deviation of 11 words per minute

µ =  58 words per minute.

σ = 11 per minute in words

On a typing test, X represents the maximum words per minute.

On a typing test, John's words per minute are distributed normally.

As X- N, the normal distribution can be described (µ  ,σ)

This indicates that X is normally distributed, with X - N for the mean and SD (58, 11)

Consider John taking a typing test on Sunday and typing 72 words per minute, i.e. x = 72

For John's score, we must determine the Z-score, which may be done as

Z = X-µ/σ

Put known values in the Z-score calculation.

Z = 72 - 58/11

Z-score, thus, is 1.27 when x = 72.

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Answer:

220 adults and 250 children

Step-by-step explanation:

we require to set up 2 equations and solve simultaneously.

let a be the number of adults and c the number of children , then

a + c = 470 → (1) based on number of people

3a + c = 910 → (2) based on ticket sales

subtract (1) from (2) term by term to eliminate c

(3a - a) + (c - c) = 910 - 470

2a + 0 = 440

2a = 440 ( divide both sides by 2 )

a = 220

substitute a = 220 into (1) and solve for c

220 + c = 470 ( subtract 220 from both sides )

c = 250

that is 220 adults and 250 children attended

Answer:

Total cost = 633.559225

Step-by-step explanation:

First we can calculate the tax cost for the camera: 7.75% × 587.99 = 45.569225

That is the tax sale or cost.

Then we calculate total cost by adding the listed price with the tax cost:

587.99 + 45.569225 = 633.559225

Just remember these simple equation:

Step 1: Tax Cost = Tax Percentage × Listed Price

Step 2: Total cost = Tax Cost + Listed Price (original price)

Hope this helps. :)

Answer: D

Step-by-step explanation:

Hope it helps

To find the radius of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the volume is 824 cubic inches, we can rearrange the formula to solve for the radius:

824 = πr²h

Since the height is not given, we cannot find the exact radius. However, we can still determine the relationship between the height and radius if the volume remains the same.

b. If the height of the cylinder is changed, but the volume stays the same, the radius will change inversely proportional to the height. This means that as the height increases, the radius will decrease, and vice versa. This relationship ensures that the volume remains constant.

Therefore, we cannot determine the exact radius without knowing the height, but we can conclude that the radius and height have an inverse relationship.

Answer:

Step-by-step explanation:

\(I=Prt\)  P=principal, r =interest rate, t=time

\(I=1,320\) × \(\frac{3.2}{100}\) × \(5\)

 \(= 211.20\)

He will earn $211.20 interest.

A 90% confidence interval places the true mean normal body temperature between 98.14269 and 98.35577.

library(UsingR)

attach(normtemp)

print(normtemp)

hist(normtemp$temperature)

shapiro.test(normtemp$temperature)

qqnorm(normtemp$temperature)

qqline(normtemp$temperature)

We can observe that the data follows a normal distribution from the histogram and q plot.

The points in the q plot fall on a straight line and correspond to a normal distribution.

P-value = 0.2332, P>0.05, from the Shapiro test

hence, we fail to reject null htpothesis.

On accepting the null hypothesis we get to know that the data follows normal distribution.

The output for the given code will be ,

data: normtemp$temperature

t = 1527.9, df = 129, p-value < 2.2e-16

alternative hypothesis: true mean ≠0

90 percent confidence interval:

98.14269 98.35577

sample estimates:

mean of x

98.24923

Therefore , we can conclude that ,

The true mean normal body temperature is believed to be between 98.14269 and 98.35577 with a 90% confidence interval.

98.6 is not included in the 90% confidence interval.

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The coefficient of determination is calculated as: 0.520.

The coefficient of determination = the square of the correlation coefficient.

Given the following:

Value of the linear correlation coefficient (r) = -0.721

Therefore, we would have:

The coefficient of determination = (-0.721)²

The coefficient of determination = 0.520

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Answer:

5x = 3x

4+8t-y=y-t+8

98/r=34t

Step-by-step explanation:

hope this helps!

mark me brainliest plz!

Answer: A would be the answer hope this helps

Answer:

h

Step-by-step explanation:

h

The number of different sequences of tosses could there have been, if the number of tosses was even 1/2

You should understand that the tosses involves a sequence which is an array of numbers in a particular order

The question reads thus How many different sequences of tosses could there have been, if the number of tosses was even.

Number of tosses = 12

The tosses are 1,2,3,4,5,6,7,8,9,10,11,12 = 12 Times

The even numbers are

2,4,6,8,10,12 = 6 times

The Probability of the toss is 6/12

Therefore the number of tosses equals 1/2

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Answer:

Step-by-step explanation:

\(\boxed{\mathrm{ 4+m+n-m\: \;when,\: m=4\; and\; n=9}}\)

For 4+m+n-m substitute m with 4 and n with 9:-

____________________

Hope this helps!

Answer:

The linear equation with given slope and y-intercept is:

Option 1: \(y = \frac{1}{2}x\)

Step-by-step explanation:

The slope-intercept form of equation is given by:

\(y = mx+b\)

Here

m is the slope of the line and b is the y-intercept.

Given that

Slope of line is 1/2 so m = 1/2

And y-intercept is on origin so b = 0

Putting the values we get

\(y = \frac{1}{2}x+0\\y = \frac{1}{2}x\)

Hence,

The linear equation with given slope and y-intercept is:

Option 1: \(y = \frac{1}{2}x\)

Answer:

a) The common difference between consecutive terms is 9. Thus, the nth term can be expressed as:

n(9)+(-3)

b) To find the 10th term, we substitute n=10 in the expression we just found:

10(9) + (-3) = 87

Therefore, the 10th term of the sequence is 87.

The remainder is 5 + c, which means that the expression P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) divided by (x + 1) results in a quotient of\(5x^3 + 2x^2 - 4x + 4\) and a remainder of 5 + c.

To divide the polynomial P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) by the binomial (x + 1), we can use polynomial long division.

Let's set up the long division:

    \(5x^3 + 2x^2 - 4x + 4\)

_______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

We start by dividing the highest degree term of the dividend (5x^4) by the divisor (x + 1), which gives us 5x^3. We then multiply this quotient by the divisor (x + 1) and subtract it from the dividend:

              \(5x^3(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

- (\(5x^3 + 5x^2)\)

This leaves us with a new polynomial:\(2x^3 - 7x^2 - 3x + c\). We repeat the process by dividing the highest degree term of this polynomial (2x^3) by the divisor (x + 1), resulting in 2x^2. We then multiply this quotient by the divisor and subtract it from the polynomial:

              \(5x^3(x + 1) + 2x^2(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

-\((5x^3 + 5x^2)\)

_______________________

\(2x^2 - 3x + c\)

We continue this process until we reach the constant term, resulting in the remainder of the division.

At this point, we have:

               \(5x^3(x + 1) + 2x^2(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

- \((5x^3 + 5x^2)\)

_______________________

\(2x^2 - 3x + c\)

-\((2x^2 + 2x)\)

_______________________

- 5x + c

- (-5x - 5)

_______________________

5 + c

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Answer:

7(45)=7(40)+7(5)

Step-by-step explanation:

We need to represent 7(45) using the distributive property to simplify.

We can write 45 as 40+5

So it becomes,

7(45) = 7(40+5)

Distributive property is : a(b+c)=ab+ac

a=7, b = 40 and c = 5

7(40+5)=7(40)+7(5)

So, the correct option is (4).

Answer: 3.8 * 10^-3 (10 to the negative third power)

Step-by-step explanation:

First, you would find the leading digit which is 3. Then, include the following digits after the decimal. The following digit is 8 so you have 3.8. After that, you count how many places the decimal point would move until it's after three. (3 places) And since the number is smaller than 1, the exponent is negative.

Answer:

Step-by-step explanation:

1) first we find the x and y intercepts. Remember the intercepts are where x=0 and y=0

2) To find the x-intercept, substitute y = 0 and solve for x.

given equation:  x +2y= -4

then substitute y=0    so

x+ 2(0) = -4    -> any number multiplied by 0 it will always equal zero

then,  it will be  x=-4

the coordinates will be (-4,0)

3) To find the y-intercept, substitute x =0 and solve for y.

given equation:  x +2y= -4

then substitute x=0    so

(0)+ 2y = -4    -> x disappears since is zero

then,  it will be  2y=-4

then we multiply by 2 :

2y/2 = -4/2

y=-2

the coordinates for the y-intercept will be (0,-2)

The domain of f.g and f+g would be x ≥ 0 and x ≤ 3, which can be written in interval notation as [0, 3].

Notation is a mathematical representation of an idea or concept. It is a way of expressing ideas, relationships, and processes in an organized and concise form. Notation can involve symbols, letters, numbers, and words. Notation helps to convey complex ideas quickly and effectively. It can be used to make calculations and to compare data. Notation is also used to simplify long and complicated expressions.

Let f(x) and g(x) be two functions.

To find f.g, we need to multiply the two functions i.e., f(x).g(x) = f(x)g(x).

To find f+g, we need to add the two functions i.e., f(x)+g(x).

To find the domain of f.g and f+g, we need to find the domain of f(x) and g(x) first. The domain of f(x) and g(x) are x ≥ 0 and x ≤ 3, respectively. Therefore, the domain of f.g and f+g would be x ≥ 0 and x ≤ 3, which can be written in interval notation as [0, 3].

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The given conic section is a hyperbola since this type of conic section can be represented by the equation:

And the foci of a hyperbola with center at (h, k) are given by:

(h + c, k) and (h - c, k),

where

c = √(a² + b²)

So, for this hyperbola, we have:

h = -2

k = 3

a² = 16

b² = 9

Then, c is given by:

c = √(16+9) = √25 = 5

And the foci are:

(h + c, k) = (-2 + 5, 3) = (3, 3)

and

(h - c, k) = (-2 - 5, 3) = (-7, 3)

Thus, we can write the coordinates of both the foci as:

(-2 ± 5, 3)

Therefore, option C is correct.