Write these spelling words in reverse alphabetical order: riot, meteor, rodeo, meander, ruin.

The first step in evaluating the expression 3x{9-(4+2)/2 is to simplify the innermost parentheses. By performing operations within parentheses first, we can simplify the expression and make it easier to evaluate.

To begin, we evaluate the expression within the parentheses (4+2), which equals 6. Thus, the original expression becomes 3x{9-6/2}.

The next step is to simplify the division operation. We divide 6 by 2, resulting in 3. Now the expression becomes 3x{9-3}.

The subsequent step is to simplify the subtraction operation. We subtract 3 from 9, giving us 6. The expression now becomes 3x6.

Finally, we multiply 3 by 6, yielding a final result of 18. Therefore, the evaluation of the expression 3x{9-(4+2)/2 is equal to 18.

By simplifying the parentheses, performing the division, and evaluating the subtraction, we systematically reduce the expression to its simplest form. Following the order of operations (also known as PEMDAS or BODMAS), which prioritizes parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right), ensures an accurate evaluation of the expression.

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Answer:

El número más pequeño es

6

Step-by-step explanation:

Deje que el número más pequeño sea

s

(

→

el número mayor es

s

+

2

)

s

⋅

(

s

+

2

)

=

48

→

s

2

+

2

s

-

48

=

0

→

(

s

-

6

)

(

s

+

8

)

=

0

→

s

=

6

o

s

=

-

8

Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

Answer:

You have to multiply with Lengths. which is 13.5 or 35 or 99.00

Step-by-step explanation:

yxb

axc

9514 1404 393

Answer:

  ? = a

Step-by-step explanation:

The triangle is marked as an isosceles right triangle with legs aligned to the x-and y-axes. The length of AB is the difference of x-coordinates, so is ...

  a - 0 = a

The same length is the length of AC:

  ? - 0 = a

  ? = a

The coordinates are ...

  A(0, 0)

  B(a, 0)

  C(0, a)

The correct value for ? is a.

Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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Answer:

Step-by-step explanation:

Given: AC is angle bisector of <BAD.

=> So, <BAC = <CAD

30° = x-1 °

30 +1 = x

31 = x

Then, X = 31

Hope this helps.. Good luck :)

a) the demand equation in the form of p = f(Q) is p = -10/3Q + 14533.33

b) when the price per unit of calculators is Rs 1650, approximately 3865 calculators are demanded.

c) when 4500 calculators are demanded, the price per unit should be approximately Rs 3010.

To find the demand equation in the form of p = f(Q), we need to determine the relationship between the price per unit (p) and the quantity demanded (Q) based on the given information.

Let's use the two data points provided:

Point 1: Price (p1) = Rs 1200, Quantity (Q1) = 4000

Point 2: Price (p2) = Rs 1500, Quantity (Q2) = 3000

First, we calculate the slope of the demand equation using the formula:

Slope = (Q2 - Q1) / (p2 - p1)

Substituting the values, we get:

Slope = (3000 - 4000) / (1500 - 1200) = -1000 / 300 = -10/3

Next, we use one of the data points and the slope to find the y-intercept (b). Let's use Point 1:

p1 = Rs 1200, Q1 = 4000

Using the equation of a straight line (y = mx + b), we can rearrange it to solve for b:

b = y - mx

b = 1200 - (-10/3)(4000) = 1200 + 40000/3 = 1200 + 13333.33 = 14533.33

Therefore, the demand equation in the form of p = f(Q) is:

p = -10/3Q + 14533.33

To find the number of calculators demanded (Q) when the price per unit is Rs 1650, we can rearrange the equation and solve for Q:

1650 = -10/3Q + 14533.33

-10/3Q = 1650 - 14533.33

-10/3Q = -12883.33

Q = (-12883.33) / (-10/3)

Q = 12883.33 * 3/10

Q ≈ 3865

Therefore, when the price per unit of calculators is Rs 1650, approximately 3865 calculators are demanded.

Now, let's determine the price per unit (p) when 4500 calculators are demanded. We rearrange the equation and solve for p:

4500 = -10/3Q + 14533.33

-10/3Q = 4500 - 14533.33

-10/3Q = -10033.33

Q = (-10033.33) / (-10/3)

Q = 10033.33 * 3/10

Q ≈ 3010

Therefore, when 4500 calculators are demanded, the price per unit should be approximately Rs 3010.

By using the slope-intercept form of a linear equation and the given data points, we can determine the demand equation and solve for various scenarios, including finding quantities demanded at specific prices and determining the appropriate price for a given quantity demanded.

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Answer:

Question 3: \(b \geq 2\)

Question 4: \(r < -5\)

Question 5: \(y \leq -6\)

Step-by-step explanation:

Question 3:

\(b + 2 \geq 4\\b + 2 -2 \geq 4 - 2\\b \geq 2\\\)

Question 4:

\(13 > 18 + r\\13 - 18 > 18 -18 + r\\\\-5 > r\\ r < -5\)sign flips when r switches sides

Question 5:

\(3y \leq 2y - 6\\3y - 2y \leq 2y - 2y - 6\\\\y \leq - 6\\\)

Answer:

-7 = 7

-3 = 3

hope this helps!

Answers:

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

Explanation:

Answer:

I really hope it's right!

Answer:

\( {(6x+12) }^{2} \\

=36x^2+64x+144 \)

Step-by-step explanation:

Thinked number

\(x\)

Add 2

\(x + 2 \\ \)

multiply it by 6

\(6(x+2) \\ \)

square it

\( {(6x+12)}^{2} \\

= 36x^2+64x+144\)

hope this helps

Answer:

36x^2 + 144x + 144

Step-by-step explanation:

Say the number youre think of is x

You do x + 2 as you're adding 2

Then you do x + 2 times 6 or 6 (x + 2) = 6x +12

6x + 12 squared = 36x ^ 2 + 144 x + 144

\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

Answer:

4 units

Step-by-step explanation:

Since the x-value is the same in both ordered pairs, you can just figure out the y-step (\(y_{2} -y_{1}\)) and get your distance. -10 - (-6) = -4, so a distance of 4 units (negative sign does not matter in this case).

If both the x-values and y-values were different, another way to solve is to figure out the y- and x-steps and plug them into the Pythagoras theorem \(A^2+B^2 = C^2\), with A being the horizontal distance (x-step) and B being the vertical distance (y-step).

You can also find the distance between 2 points by using the distance formula, which is  \(d = \sqrt{(x_{2}-x_{1})^{2} - (y_{2}-y_{1})^{2}\). After inserting the x- and y-coordinates of your ordered pair you get  \(d = \sqrt{(3-3)^{2} - (-10-(-6))^{2}\)
Simplifying:
\(d = \sqrt{- (-10-(-6))^{2}}\).  \((3-3)^{2}\) was eliminated.
Then we distribute the negative signs: \(d = \sqrt{- (-10+6)^{2}}\) --> \(d = \sqrt{(10-6)^{2}}\).
\(d = \sqrt{(4)^{2}}\) --> \(d = \sqrt{16}\) --> \(d = 4\)
So, the distance between the points is 4 units.
Side note: The distance formula works in the same way as the Pythagoras theorem.

The value of x is 21.4.

What is right-angle triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and other angles of the right triangle.

The height of the right-angle triangle is 11. The hypotenuse of the right-angle triangle is x. The measure of the angle opposite to height is 31°.

The sine of an angle is the ratio of height to the hypotenuse.

Therefore,

sin 31° = height/hypotenuse

sin 31° = 11/x

Multiply x with both sides:

x sin 31° = 11

Divide sin 31° with both sides:

x = 11/ sin 31°

x = 21.35

x ≈ 21.4 units

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The correlation coefficient for the data in the table is given as follows:

r = 0.724.

The coefficient is obtained inserting the points in a data-set in a correlation coefficient calculator.

The input and output variables are given as follows:

Hence the points that compose the data-set are given as follows:

(48, 34), (70, 46), (81, 38), (81,49), (86,49).

Inserting these points into a calculator, the correlation coefficient for the data is given as follows:

r = 0.724.

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Answer:

yes ur friend is correct

Step-by-step explanation:

because the value of x .

The diagram only shows that angles M and B are supplementary ( add up to 180 degrees) and that angel 4x is adjacent to angel M.However, there is no information about the measure of angle B or angel M, so we cannot determine the value of x

Answer:

The set D has 5 elements - 3, 6, 9, 12, and 15, all of which are multiples of 3.

Answer:

1st option: -2 < x ≤ 3

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that our x-values span from -2 to 3. Since -2 is an open dot, we cannot include it in our domain:

(-2, 3] or -2 < x ≤ 3

Answer:

5 km

Step-by-step explanation:

the scans means that any distance on the map is 50000 times larger in real life.

so, 10 cm on the map is

10×50000 = 500000 cm in real life.

now, we know that 100cm = 1 m

so, it is 500000/100 = 5000 m in real life.

and there are 1000 m in 1 km.

so, it is 5000/1000 = 5 km in real life

Answer:

5pi/12

105 degrees

Step-by-step explanation:

I can help with the first 2 too many answers in one will get my answer deleted

7pi/12  x 180/pi

7x15=105

Hopes this helps please mark brainliest

Answer:

One is postive and the other is negative but both are integers and whole numbers

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

difference=minus

8-(-4)

8+4=12

Answer:

C is da answer

Step-by-step explanation:

Answer:

never seen such big horror

but I think it D using logic

The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5

Let's solve the inequality first

4p -7 \(\geq\)  9p  +8

Taking p's on the same side we will get :

-7 - 8 \(\geq\) 9p - 4p

-15 \(\geq\) 5p

Divide by 5 into both sides

-3 \(\geq\) p

i.e. p \(\leq\) -3

Therefore p must be less than or equal to -3

From the set, we have the numbers -3,-4,-5 which are less than or equal to -3

Hence the integers -3,-4,-5 will make the  inequality 4p-7 \(\geq\) 9p+8 true

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\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{30}\\ a=\stackrel{adjacent}{MN}\\ o=\stackrel{opposite}{18} \end{cases} \\\\\\ MN=\sqrt{ 30^2 - 18^2} \implies MN=\sqrt{ 576 }\implies MN=24 \\\\[-0.35em] ~\dotfill\\\\ \cos(M )=\cfrac{\stackrel{adjacent}{24}}{\underset{hypotenuse}{30}} \implies \cos(M)=\cfrac{4}{5}\)

Answer:

Thousandths.

Step-by-step explanation:

The third decimal place, which is three places after the decimal point is called as the thousandths place.

The number 5 is at the thousandths place.

In order to find the value of f(-1), you can start by finding the value of f(1) and then proceed for the next step.

As you have already noted, writing z13+z14 as e13(ln|z|+iθ(z)+i2nπ)+e14(ln|z|+iθ(z)+i2mπ) will not give you a specific branch. Instead, you can write z13+z14 as follows:

(z-1)(z12+z11+z10+...+1)

Then, you can use the fact that f(1)=0 to solve for the value of z12+z11+z10+...+1. This will give you a specific value for f(1).

To find the value of f(-1), you can use the following relationship:

f(-1) = f(1) * (-1)13 * (-1)14

Substituting the value you found for f(1) and evaluating the expression will give you the value of f(-1).

As for the condition "not defined on the negative imaginary axis", this means that the branch of f(z) is not defined for any complex number with a negative imaginary part. This is because the 13th and 14th roots of a complex number are not unique when the imaginary part is negative, so the function is not defined for these values.

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The linear and exponential equations for the amount of money in the banks indicates;

TCF Bank Equation

y = 100·x + 1000

Well Fargo Bank Equation

y = (1.06)ˣ

The number of years it will take for both accounts to have the same amount of money is about 17 years

An exponential equation is an equation of the form; y = a·bˣ, where the input variable, x is an exponent.

The equation for calculating the amount in each bank, based on the details are;

TCF Bank;

Amount invested = $1,000

Amount added each year = 100·x

Well Fargo Bank Equation

The percentage of the amount earned as interest each year = 6% = 0.06

The exponential equation for compound interest amount is; y = 1000·(1 + 0.06)ˣ

Therefore; y = 1000·(1.06)ˣ

When the amount in the two accounts have the same amount of money, we get;

1000·(1.06)ˣ = 100·x + 1000

Therefore; (1.06)ˣ = (100·x + 1000)/1000 = 0.1·x + 1

(1.06)ˣ = 0.1·x + 1

Solving the above equation using the substitution method and graphing indicates that we get;

x = 0, and x ≈ 17.125732

Therefore, it takes about 17 years for the two accounts to have the same amount of money

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