Line AD is parallel to line HE. Identify one pair of alternate interior angles. ​

To answer this question, first, we will compute the intensity of each earthquake.

Recall that:

Therefore, using the given formula we get:

Then, the intensity of an earthquake that measures 7.5 on the Richter scale is:

and the intensity of an earthquake which measures 2.3 on the Richter scale is:

Now, notice that:

We know that:

Answer:

Answer: f=

x=cos(p(i/2)*x)+1=x=cos( π x/2)+1

Step-by-step explanation:

i used the given functions to solve for x i hope i helped if not im so sorry have a good day tho :)

The area of triangle ABC with vertices is 22 square units

The vertices are given as:

A(4, -3) B(9,-3) , and C(10, −11)

The area of the triangle is calculated using

Area = 0.5 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)|

This gives

Area = 0.5 * |4 * (-3 + 11) + 9 * (-3 + 11) + 10 * (-3 - 3)|

Evaluate the sum of products

Area = 0.5 * |44|

Remove the absolute bracket

Area = 0.5 * 44

Evaluate

Area = 22

Hence, the area of ABC with vertices is 22 square units

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Answer:

1. 3.75 or 3/4

2. 5.3

3. 4.5

4. 3.4

Step-by-step explanation:

hope this helped i tried :/

1) 3.75

2) 5.33

3) 4.5

4) 3.42

Answer:

I think it's 5,1

Step-by-step explanation:

counter-wise of 1,1 is -1,1 and translating it 5 to the right makes it -1+6, 1 = 5,1

The x - coordinate of A'' after the rotation and translation will be 7.

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The coordinate of A is;

A = (1 , 1)

Now,

After the combination of a rotation 90 degrees counter - clockwise about the origin, we get the point;

A' = (1 , -1)

And, After translated 6 units to the right we get the point;

A'' = (1 + 6, -1)

A'' = (7, - 1)

Thus, The x - coordinate of A'' after the rotation and translation will be 7.

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well it is going to be 10,000,000 (000-0000 to 999-9999) minus any number before 100-0000 that would make 9,000,000 legal numbers.

i would have to guess

L over 3 equals 9; L = 27 feet.

Answer:

The third one

the Length (L) is 27 since L/3

Answer: sorry if this is wrong I tried.

Physical factors such as terrain, climate, soil, water bodies, and mineral resources. These factors affect the availability of resources, the suitability of land for agriculture, the accessibility of transportation, and the attractiveness of living conditions.

Human factors such as industries, urbanization, transport, culture, history, and politics. These factors affect the type and scale of economic activities, the availability of services and amenities, the migration patterns and preferences of people, and the distribution of power and wealth.

These factors vary according to the scale of analysis because different regions may have different combinations and interactions of these factors that influence their population distribution. For example, at a global scale, climate may be a major factor that determines where people live, but at a local scale, urbanization may be more important.

Step-by-step explanation:

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Answer:  3 and 14

Step-by-step explanation:

Let the two numbers be X and Y.

"The sum of twice a number and 7 times another number is 49:"

2X + 7Y = 49

"The first number decreased by 3 times the second number is 5:"

X - 3*Y = 5

Rewrite the second equation so that either the X or Y is isolated.  I'll choose X:

X = 5+3Y

Now use this definition of X in the first equation:

2X + 7Y = 49

2(5+3Y) +7Y = 49

10 + 6Y + 7Y = 49

13Y = 39

Y = 3

Use Y = 3 to solve for X:

X - 3*Y = 5

X - 3*3 = 5

X = 5 + 9

X = 14

The values are X = 14 and Y = 3.

Check to see if these work:

2X + 7Y = 49

Does 2(14) + 7(3) = 49  ??

28 + 21 = 49  ?   YES

X - 3*Y = 5

Does 14 - 3*(3) = 5  ???

          14 - 9 = 5      YES

Answer:

1,256.8in

Step-by-step explanation:

Given data

Height h =4in

Radius r= 5in

The expression for the volume of cylinder is

V=πr²h

Substitute

V=3.142*4²*5

V=3.142 *16*25

V=1,256.8in³

Abby, Bernardo, Carl, and Debra play a game in which each of them starts with four coins. The game consists of four rounds. In each round, four balls are placed in an urn - one green, one red, and two white. The players each draw a ball at random without replacement. Whoever gets the green ball gives one coin to whoever gets the red ball. What is the probability that, at the end of the fourth round, each of the players has four coins

The probability that, at the tip of the fourth round, each of the players has four coins is 5/192.

Given that game consists of 4 rounds and every round, four balls are placed in an urn one green, one red, and two white.

It amounts to filling in an exceedingly 4×4 matrix. Columns C₁-C₄ are random draws each round; row of every player.

Also, let \(\%R_{A}\) be the quantity of nonzero elements in \(R_{A}.\)

Let \(C_{1}=\left(\begin{array}{l}1\\ -1\\ 0\\ 0\end{array}\right)\).

Parity demands that \(\%R_{A}\) and\(\%R_{B}\) must equal 2 or 4.

Case 1: \(\%R_{A}\)=4 and \(\%R_B\)=4. There are \(\left(\begin{array}{l}3\\ 2\end{array}\right)\)=3 ways to put 2-1's in \(R_A\), so there are 3 ways.

Case 2: \(\%R_{A}\)=2 and \(\%R_B\)=4. There are 3 ways to position the -1 in \(R_A\), 2 ways to put the remaining -1 in \(R_B\) (just don't put it under the -1 on top of it!), and a pair of ways for one among the opposite two players to draw the green ball. (We know it's green because Bernardo drew the red one.) we are able to just double to hide the case of \(\%R_{A}=4,\%R_{B}=2\) for a complete of 24 ways.

Case 3: \(\%R_A=\%R_B=2\). There are 3 ways to put the -1 in \(R_{A}\). Now, there are two cases on what happens next.

Hence, there are 3(2+2×2)=18 ways for this case. There's a grand total of 45 ways for this to happen, together with 12³ total cases. The probability we're soliciting for is thus 45/(12³)=5/192

Hence, at the top of the fourth round, each of the players has four coins probability is 5/192.

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SOLUTION

Consider the drawing below

Using pythagorean theorem, it follows

Hence using trigonometrical ratio it follows:

This is simplified to give:

Also

Finally it follows:

The quotient for the associated division is -0.5x^(3)-x^(2)+x+1 and the remainder is -9.

Synthetic division is a method for dividing polynomials by monomials. It is a simplified form of the long division of polynomials, and is useful when the divisor is a monomial. The method involves arranging the coefficients of the dividend in a row, and then dividing each term by the divisor.

To find P(-2) for P(x)=x^(4)+2x^(3)-2x-7, we simply need to substitute -2 for x and evaluate the expression.

P(-2)=(-2)^(4)+2(-2)^(3)-2(-2)-7

P(-2)=16+2(-8)-2(-2)-7

P(-2)=16-16+4-7

P(-2)=-3

Therefore, the value of P(-2) is -3.

The associated division would be (x^(4)+2x^(3)-2x-7)/(-2), which can be simplified using polynomial long division. The quotient is -0.5x^(3)-x^(2)+x+1 and the remainder is -9.

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Answer:

Im in 12th so thats really easy, its C

Step-by-step explanation:

Answer:

The answer is C I do believe

The given equation, y = -1.7x + 8.5, is not in standard form with integer coefficients. The standard form of a linear equation is Ax + By = C, where A, B, and C are integers and A is positive.

To convert the given equation to standard form, we need to eliminate the decimal coefficient. We can do this by multiplying both sides of the equation by 10 to clear the decimal: 10y = -17x + 85 Next, we want the coefficient of x to be positive, so we can multiply both sides of the equation by -1: -10y = 17x - 85

Now, we can rearrange the terms to match the standard form: 17x - 10y = 85 So, the equation of the given line in standard form with integer coefficients is 17x - 10y = 85. To convert the given equation to standard form, we need to eliminate the decimal coefficient.

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Answer:

Fraction Form: x = 7/5

Decimal Form: x = 1.4

Mixed Number Form: x = 1 1/2

Step-by-step explanation:

The value of x is 65. Please note that this solution is based on the assumption that the angles QRP and PSQ are supplementary. If this assumption doesn't hold, feel free to let me know.

We need to find the value of x in the equation ZQRP = (2x + 20)° given that ZPSQ = 30°. Since the question doesn't provide enough information about the relationship between angles QRP and PSQ, I'll assume that they are supplementary angles (angles that add up to 180°). This assumption is based on the possibility that the angles form a straight line or a linear pair.

If angles QRP and PSQ are supplementary, their sum is 180°:

(2x + 20)° + 30° = 180°

Now, we can solve for x:

2x + 50 = 180

Subtract 50 from both sides:

2x = 130

Divide by 2:

x = 65

Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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Answer:

1/3

Step-by-step explanation:

Answer:

$60,000

Step-by-step explanation:

If Ava earns at a constant rate of $3,000 for 1 month, then just multiply $3,000 by how many months she works.

3,000 x 20 = 60,000

If Ava earns $3,000 in one month, she will earn $60,000 in 20 months.

Based on the amount that she earns per month, we can find out that in 20 months, Ava will earn $60,000.

Ava earns $3,000 per month she works.

If she worked for 20 months, that monthly amount would be multiplied by 20 as shown below:

= Salary per month x number of months worked

Solving would give:

= 3,000 x 20

= $60,000

In conclusion, Ava would make $60,000 in 20 months.

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The range of the sequence is \(8\).

Let's calculate the requested values for the given sequence \(x[n] = [2, 1, 4, 6, 5, 8, 3, 9]\):

a) Find the mean (average) of the sequence.

To find the mean, we sum up all the values in the sequence and divide it by the total number of values.

\[

\text{Mean} = \frac{2 + 1 + 4 + 6 + 5 + 8 + 3 + 9}{8} = \frac{38}{8} = 4.75

\]

Therefore, the mean of the sequence is \(4.75\).

b) Find the median of the sequence.

To find the median, we need to arrange the values in the sequence in ascending order and find the middle value.

Arranging the sequence in ascending order: \([1, 2, 3, 4, 5, 6, 8, 9]\)

Since the sequence has an even number of values, the median will be the average of the two middle values.

The two middle values are \(4\) and \(5\), so the median is \(\frac{4 + 5}{2} = 4.5\).

Therefore, the median of the sequence is \(4.5\).

c) Find the mode(s) of the sequence.

The mode is the value(s) that occur(s) most frequently in the sequence.

In the given sequence, no value appears more than once, so there is no mode.

Therefore, the sequence has no mode.

d) Find the range of the sequence.

The range is the difference between the maximum and minimum values in the sequence.

The maximum value in the sequence is \(9\) and the minimum value is \(1\).

\[

\text{Range} = \text{Maximum value} - \text{Minimum value} = 9 - 1 = 8

\]

Therefore, the range of the sequence is \(8\).

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The equation of the line that passes through the point ( − 3 , − 5 ) (−3,−5) is y-2x=1.

Suppose the given points are (x_1, y_1) and (x_2, y_2), then the equation of the straight line joining both two points is given by

\((y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)\)

Given;

line that passes through the point ( − 3 , − 5 ) (−3,−5)

parallel to the line 2 � + 3 � = 15 2x+3y=15

Now,

Slope will be 2

y+5=2(x+3)

y+5=2x+6

y-2x=1

Therefore, the equation will be y-2x=1.

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To make the game fair, we would need to adjust the payouts so that the expected value of playing is zero. This means that the sum of the products of each possible outcome and its probability should equal the cost to play.

Removing the payouts for rolling a 5 and 9 would both make the game fair, as these outcomes have non-zero payouts but their probabilities are relatively low. Increasing the cost to play by $1 would also make the game fair, as it would decrease the expected value of playing.

However, decreasing the cost to play by $2 would make the game less fair, as it would increase the expected value of playing. Including a payout of $6 for rolling a 7 would also make the game less fair, as it would increase the expected value of playing.

Therefore, the adjustments that would make the game fair are: removing the payouts for rolling a 5 and 9, and possibly increasing the cost to play by $1.

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Answer:Here you go

Step-by-step explanation:

Change everything into terms of sine and cosine.

Use the identities when you can.

Start with simplifying the left-hand side of the equation, then, once you get stuck, simplify the right-hand side. As long as the two sides end up with the same final expression, the identity is true.

Step-by-step explanation:

Divide your 320 million with 618 and that's your answer.

Answer:

517799

Step-by-step explanation:

Answer: true

Step-by-step explanation:

Answer: True

Step-by-step explanation: Has to be true if a b and c are all numbers

Answer:

y= - 11

Step-by-step explanation:

A line with a slope of 0 is a horizontal line, parallel to the x- axis with equation

y = c ( c is the value of the y- coordinates the line passes through )

the line passes through (- 13, - 11 ) with y- coordinate - 11, then

y = - 11 ← equation of line

Answer:

y = -11

Step-by-step explanation:

A line with slope as 0, is a horizontal line ( In other words parallel to x-axis).

There is no rise, only run.

Equation of the line is y = c.

   y = -11

Answer:

5 to the power of 2

Step-by-step explanation:

Answer:

565.9

Step-by-step explanation: