Find the eighth term of each geometric sequence. 2/3, 4/9, 8/27 . . . . .

The annual depreciation rate is $163.33.

Depreciation rate is calculated using the formula

Annual Depreciation Rate =(Total Depreciable Cost)/(time)    ..where time is in years.

In the given Question

The original cost of item = $500

Cost of item after 3 years = $10

Total Depreciable Cost = (original cost of item) -(Cost of item after 3 years)

=500-10

=$490

So,

Annual Depreciation Amount = (Total Depreciable Cost)/(time)

Annual Depreciation Amount =490/3=163.33

Hence, the item cost would depreciate $163.33 per year.

which means every year the amount will depreciate by $163.33

Therefore, the annual depreciation rate is $163.33 .

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The measure of each angle is 23 degrees, 67 degrees, and 90 degrees.

The acute angle can be defined as the angle  less than 90°. Or we can say that the angle which is between 0° and 90° is called as an acute angle of a triangle.

Right triangle is also known as right angled triangle. If a triangle has atleast one 90° angle then the triangle is said to be a right angled triangle. A right angle triangle always follows the Pythagoras theorem.

Now, According to statement given :

Let  smaller acute angle = x,

and measure of larger acute angle = 3x-2

Since, it is right triangle the acute angles must be complementary

x + (3x-2) = 90

4x - 2 = 90

4x = 92

x = 23

i.e. smaller acute angle is 23

now second angle = 3x-2 = 3(23) - 2 = 67

and third angle is 90 , as this is a right angled triangle.

Thus, The measurement of each angle is 23 degrees, 67 degrees, and 90 degrees.

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Answer:

Step-by-step explanation:

division is ÷

addition is +

product is the word for the answer of multiplying numbers together

difference is the word for the answer of subtracting numbers

in this problem, any variable is called a number.

4 d : this is the product. you can write 4 x d, but a shortcut is to exclude the multiplication

y - 4 : this is subtraction, so the difference

4 + x : this is addition

4 ÷ n : this is division

Answer:

30

Step-by-step explanation:

-9 × -4 = 36 (the two negatives cancel each other out)

36 - 6 = 30

The given sequence is not geometric.

A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

Given: 1, 2, 3, 4, ....

Here, 2/1  ≠ 3/2 ≠ 4/3

Since, the none of the ratio of the consequent and the previous term is not equal, the sequence does not satisfy the required condition and hence, is not geometric.

Hence, The given sequence is not geometric.

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The absolute value inequality to represent this situation is |d - 50| <= 5

The given parameters are

Margin = 5 feet

Depth = 50 feet

The absolute value inequality to represent this situation is

|d - Depth| <= Margin

So, we have:

|d - 50| <= 5

Hence, the absolute value inequality to represent this situation is |d - 50| <= 5

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The equation of the line in slope-intercept form passing through point (-3 , 1) and perpendicular to y = -(2/5)x - 4 is y = (5/2)x + 17/2

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The slope-intercept form of the equation of a line is given by the formula

y = mx + b

where m is the slope of the line

b is the y- intercept

If the line is perpendicular to y = -(2/5)x - 4, then their slopes are negative reciprocal of one another.

y = -(2/5)x - 4 : m = -2/5

m = 5/2

Substitute the values of the slope and the point to solve for the y-intercept, b.

y = mx + b

1 = 5/2(-3) + b

b = 17/2

Write the equation of the line by plugging in the value of the slope and y-intercept.

y = mx + b

y = (5/2)x + 17/2

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Answer:

6y ≤ 10

Step-by-step explanation:

6 times a number y= 6y

less than or equal to = ≤

10 = 10

so...

6y ≤ 10

Answer:

6y = 10

Step-by-step explanation:

Answer:

The errors that may occur in the measurement of a physical quantity can be classified into six types: constant error, systematic error, random error, absolute error, relative error and percentage error.

Step-by-step explanation:

Hope this will be helpful for you.

According to the question, Namid bought [tex]20[/tex] raffle tickets. And the total number of raffles sold was [tex]500[/tex].

Now. to calculate the probability in which Namid will not win the raffle:

[tex]P(Win) = \frac{P(E)}{n(E)} = \frac{20}{500} = \frac{1}{25}[/tex]

[tex]P(No Win) = 1-P(Win) = 1 - \frac{1}{25} = \frac{24}{25} = 96%[/tex]

Therefore, the probability that Namid will not win the raffle is [tex]96[/tex] percentage.

What is Probability?

The term probability means the study of the occurrence or the outcomes of the event. It is the measurement of the events that occurred during events. And many uncertain events cannot be measured.

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An unlimited number of acute triangles can be formed from two sides without an angle measurement, such as a = 10 m and b = 10 m.

As an illustration -

If our side lengths are 10m and 10m, and our angle value goes from 0 to 90 degrees, how many different acute triangles can we create?

Construct a triangle with sides of 10 and 10 metres, an angle of 45 degrees, and a third side that can be extended to the desired length. You have built a triangle.

By changing the third side's length and angle, we can make a whole different triangle that is identical to this one.

Never forget to choose the side lengths and angles. There is a suggestion that you might decide to take a different step. The same angles can be used to make an unlimited number of different triangles.

As a result, with a single angle and a single side length, we can create an endless number of triangles.

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It is a geometric sequence since it has a common ratio. The next two terms are -80, 160

Let a sequence be:

          a(1), a(2), a(3), a(4), a(5), ...

To determine whether the sequence is an arithmetic sequence, or a geometric sequence, or neither, we need to check how its consecutive terms relate to each other.

The given sequence is:

-5,10,-20,40, . . .

a(2) - a(1) = 10 - (-5) = 15

a(4) - a(3) = 40 - (-20) = 60

So they don't have a common difference.

a(4)/a(3) = 40/(-20) = -2

a(3)/a(2) = -20/(10) = -2

a(2)/a(1) = 10/(-5) = -2

So they have a common ratio, i.e. r = -2.

Therefore, we can conclude that -5,10,-20,40, . . is a geometric sequence.

In a geometric sequence, the next term is equal to the previous term times the ratio.

We already have: -5,10,-20,40, ...

Hence:

Next term after 40 = 40 . (-2) = -80

Next term after -80 = -80 . (-2) = 160

Thus, the next two terms are -80, 160

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We can find whether three points are coplanar by using vector approach.

In geometry, a of group points in space are coplanar if there exists a geometric plane that contains them all. For instance, three points are always coplanar, and if the points are distinct and non-collinear, the plane they exist is unique.

We can check whether the given point F,Q and P are coplanar by first forming vectors of the each given point. The vector form for general point (a,b,c) can be written as [tex]a\hat{i}+b\hat{j}+c\hat{k}[/tex].

The vector forms of point F,Q and P can be given as 'f', 'q' and 'p'. The scalar triple product of the vectors 'f', 'q' and 'p' can be found out by finding the scalar product of vector 'f' with the cross product of the vectors 'q' and 'p' .

For the points F,Q and P to be coplanar the triple scalar product must be zero else the points are not coplanar.

This implies f·(q×p)=0 must be satisfied for three points to lie on the same plane.

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The correct question is " How can you say points F, Q and D are coplanar?"

That means that each hour it drops about 0.0625 inches

Divide the decrease in water level by the length of the time interval.

decrease = 7/12 inches ≅ 0.583 inches

Time interval: From 11 pm to 8:20 am you have 9:20 hours = (9 + 20/60) hours ≅ 9.33 hours

So the water drops at a rate of about

0.583/9.33 inches/hour ≅ 0.0625 inches/hour

Therefore, each hour it drops about 0.0625 inches.

The rate constant, or the specific rate constant, is the proportionality constant in the equation that expresses the relationship between the rate of a chemical reaction and the concentrations of the reacting substances.The rate constant is a proportionality factor in the rate law of chemical kinetics that relates the molar concentration of reactants to reaction rate. It is also known as the reaction rate constant or reaction rate coefficient and is indicated in an equation by the letter k.

Rate constant is dependent on the temperature. For zero-order reaction, rate constant's unit is mol L - 1 s - 1 . For first-order reaction, rate constant's unit is . For second-order reaction, rate constant's unit is mol - 1 L s - 1 .

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The prime factors of 80 are 2, 2, 2, 2, and 5, then its decomposition is:

80 = 2*2*2*2*5 = 2⁴*5

To do this, we start with our number, which in this case is 80, and we start dividing it by prime numbers.

The first prime number is 2, taking the quotient:

80/2 = 40

So 2 is a factor.

Now we try to divide again by 2:

40/2 = 20

Now we can divide by 2 again:

20/2 = 10

And again:

10/2 = 5

And 5 is another prime number, so now we only can divide by 5:

5/5 = 1

So, we divided by 2 four times and by 5 one time, then the decomposition in prime factors is:

80 = 2*2*2*2*5 = 2⁴*5

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Answer:

C because ur adding

The median is at 55. Therefore, the second quartile of the data set is: 55.

50% of any given data set lies below the second quartile. Thus, the second quartile can be described as the median of a data set.

In a box-and-whisker plot, the median is the mark at where the vertical line divides the box of the box-and-whisker plot.

In the box-and-whisker plot given, the median is at 55. Therefore, the second quartile of the data set is: 55.

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answer should be origin

The statement "If p || q , then ∠2 and ∠8 are supplementary" is false because " If p || q , then ∠2 and ∠8 are congruent"

Given,

The statement "If p || q , then ∠2 and ∠8 are supplementary"

In the figure

p is parallel to q.

∠2 and ∠8 are lie on the opposite sides of the transversal and both are nonadjacent exterior angle

So, ∠2 and ∠8 are alternate exterior angles

If p || q , then ∠2 and ∠8 are congruent.

Hence, The statement "If p || q , then ∠2 and ∠8 are supplementary" is false because " If p || q , then ∠2 and ∠8 are congruent"

The complete question is :

State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.

If p || q , then ∠2 and ∠8 are supplementary .

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The solutions are  x = 80 and  x = -136

Given equation is  [tex]|\frac{x}{4}+7|-3=24[/tex].

We need to solve for x.

Absolute value function is given by, [tex]|x| = \left \{ {{x\ if\ x\geq 0} \atop {-x\ if\ x < 0}} \right.[/tex]

So the equation may have two solutions.

We use the property of absolute value to solve   [tex]|\frac{x}{4}+7|-3=24[/tex]

⇒ [tex](\frac{x}{4}+7)-3=24[/tex]  and   [tex]-(\frac{x}{4}+7)-3=24[/tex]

⇒ [tex](\frac{x}{4}+7)=27[/tex]  and   [tex](\frac{x}{4}+7)=-27[/tex]

⇒ [tex]\frac{x}{4}=20[/tex]  and   [tex]\frac{x}{4}=-34[/tex]

⇒ x = 80 and  x = -136

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Answer:

The solutions are  x = 80 and  x = -136

Step-by-step explanation:

The location of point P under the translation is (2, 4)

The complete question is added as an attachment

The location of point P is

P = (-1, 3)

The translation is given as:

(x+3, y+1)

So, we have

P' =(-1 + 3, 3 + 1)

Evaluate

P' = (2, 4)

Hence, the location of point P under the translation is (2, 4)

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Step-by-step explanation:

you cant make things in brainly

The probability that Danielle, Nora, and Li will dive first, second, and third, respectively is 1/1320.

Since we are provided that in the meet, the orders of the drivers are randomly selected so,  the total number of drivers is: 12

let A be the event in that  Danielle was the first to dive.

    B be the event that  Nora been the second to dive.

and C is the event that Li has been the third to dive into.

P(A), probability of Danielle to dive first = 1/12

P(B), probability of Nora to dive second = 1/11

and P(C), probability of Li to dive in third = 1/10

So, the total probability that Danielle, Nora, and Li will dive first, second, and third, respectively = P(A) x P(B) x P(C)

                                     = 1/12 x 1/11 x 1/10

                                     = 1/ 1320

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Answer:

Answer: M=-9

Step-by-step explanation:

[tex]\frac{-4(m+3)}{-4} =\frac{24}{-4} M + 3 = -6 (Subtract -3 from 3 and -6) M = -9[/tex]

The following set of numbers 15, 20, and 24 can be the measures of the sides of an acute triangle.

A triangle is a polygon with three sides and three vertices.

To know if a set of number is a valid measure of the sides of a triangle, it must follow the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side, such that a + b > c, a + c > b, and b + c > a.

let a = 15, b = 20, and c = 24

a + b > c     15 + 20 > 24     35 > 24     True

a + c > b     15 + 24 > 20     39 > 20     True

b + c > a     20 + 24 > 15     44 > 15      True

To know what type of triangle based on the length of its side:

1. Take the sum of the squares of the two smaller sides.

15^2 + 20^2 = 625

2. Compare it to the square of the largest side.

24^2 = 576

625 > 576

If the sum of the squares of the 2 is larger than the square of the 3rd, it is an acute triangle.

if they are equal, it is a right triangle

if they are smaller, then it is an obtuse triangle.

Hence, 15, 20, and 24 can be the measure of the sides of an acute triangle.

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The missing term of the sequence is - 4.9.

Here the sequence is -4.6, __, -5.2....

An arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

Here the sequence is in an arithmetic sequence, as there is a common difference between them.

The nth term of the sequence has a formula

[tex]a_{n}[/tex] = a + (n - 1) d

Here we know the 3rd term of the sequence so that we can find the common difference between them

[tex]a_{3}[/tex] = -4.6 +(3-1)d

-5.2 = -4.6 + 2d

0.6 = 2d

d = 0.3

So here the common difference is 0.3.

Now we have to find the 2nd term of the sequence,

[tex]a_{2}[/tex] = -4.6 + ( 2-1) 0.3

   = -4.6 + 0.3

   = - 4.9

Therefore the second term of the sequence is -4.9.

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Distance between the pair of points W(2,0) and X(8,6) is equal to

8.5 units(nearest tenth).

As given in the question,

Given points are  W(2,0) and X(8,6)

Distance between the pairs of points = [tex]\sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2} }[/tex]

                                                          = [tex]\sqrt{(6-0)^{2}+(8-2)^{2} }[/tex]

                                                          = [tex]\sqrt{36 +36}[/tex]

                                                          =[tex]\sqrt{72}[/tex]

                                                          = [tex]8.5[/tex] units (nearest tenth)

                                                                                                                                                    Therefore, distance between the pair of points W(2,0) and X(8,6) is equal to 8.5 units (nearest tenth).

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The pattern of each number changes.. they are all factors of 4, the 4 turns into 8, than the 4 or 8 turns into 16.

7+4=11

11+8=19

19+16=35

[4×2=8, 8×2=16]

Answer:

Step-by-step explanation:

Perimeter = 2(l + w)

Area = l x w

l =  6 - 3 = 3 (Difference in x cords from A to B)

w = 5 - (-1) = 6 (Difference in y cords from A to C)

Perimeter = 2(3 + 6) = 18 units

Area = 3 x 6 = 18 square units

According to this the given equation the  correct option is G. 22x - 6 = 8x

Algebra is a field of mathematics that aids in the depiction of issues or situations using mathematical expressions. To construct a meaningful mathematical expression, variables such as x, y, and z are combined with mathematical operations such as addition, subtraction, multiplication, and division.

Algebra is a generalized version of arithmetic in which variables stand in for nonspecific numbers. Its objective seems to be to solve algebraic equations including equation systems.

The equation is = 7x-3(2-5x)=8x

Now simplifying the equation:

7x-3(2-5x)=8x

7x - 6 + 15x = 8x

22x - 6 = 8x

According to this the correct option is G. 22x - 6 = 8x

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