I need help in this 8th grade only part B and D

I Need Help In This 8th Grade Only Part B And D

Answers

Answer 1

a) The first term of the sequence is; ³¹/₆

b) The term to term rule is; aₙ = ³¹/₆ + (n - 1)²/₆

c) The next three terms are; ³⁷/₆, ³⁹/₆, ⁴¹/₆

d) The 10th term in the sequence is; a₁₀ = ⁴⁹/₆

How to find the nth term of a sequence?

The first term of the sequence is given by the expression;

2 ÷ ¹²/₃₁ = ³¹/₆

The second term of the sequence is given by the expression;

3 ÷ ⁶/₁₁ = ³³/₆

The third term of the sequence is given by the expression;

5 ÷ ⁶/₇ = ³⁵/₆

These are the first three terms of a sequence and so the sequence is;

³¹/₆, ³³/₆, ³⁵/₆,....

d = ³³/₆ - ³¹/₆ = ²/₆

Thus, term to term rule is given by the nth term of an arithmetic progression;

aₙ = ³¹/₆ + (n - 1)²/₆

The next three terms are; ³⁷/₆, ³⁹/₆, ⁴¹/₆

The 10th term in the sequence is;

a₁₀ = ³¹/₆ + (10 - 1)²/₆

a₁₀ = ³¹/₆ + ¹⁸/₆

a₁₀ = ⁴⁹/₆

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Related Questions

hi! Can someone please help me out? Thank you so much :) I’ll give brainly. Question is in image

Answers

Answer:

d) 189.3 in²

Step-by-step explanation:

Area of rectangle is,

→ w × l

→ 10 × 15

→ 150 in²

Area of semi circle is,

→ (1/2)πr²

→ (1/2) × 3.14 × (5)²

→ 1.57 × 25

→ 39.3 in²

Now the total area will be,

→ 150 + 39

→ 189.3 in²

Thus, total area is 189.3 in².

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answers

From the solution to the given inequality, the correction representations are -6x + 15 < 10 - 5x and a number line from -3 to 7, with an open circle at 5 and an arrow pointing to the right.

Solving Linear Inequalities

From the question, we are to determine the correct representations of the given inequality

The given inequality is

-3(2x - 5) < 5(2 - x)

To determine the correct representation, we will solve the inequality

Solving the inequality

-3(2x - 5) < 5(2 - x)

Clear the parentheses by applying the distributive property

-6x + 15 < 10 - 5x

Add 6x to both sides

-6x + 6x + 15 < 10 - 5x + 6x

15 < 10 + x

Subtract 10 from both sides

15 - 10 < 10 - 10 + x

5 < x

Therefore,

x > 5

Hence, the correction representations are -6x + 15 < 10 - 5x and the number for x > 5

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If a=3 and b=-2i, then find the value of the ab^{2} in fully simplified form.

Answers

Imaginary Numbers

[tex]i = \sqrt{-1}[/tex]

Solving the Question

We're given:

a = 3b = -2i[tex]ab^2[/tex] = ?

[tex]ab^2[/tex]

⇒ Plug in the values for a and b:

[tex]=(3)(-2i)^2[/tex]

⇒ Rewrite i as [tex]\sqrt{-1}[/tex]:

[tex]=(3)(-2\sqrt{-1})^2[/tex]

⇒ Simplify:

[tex]=(3)(-2)^2(\sqrt{-1})^2\\=(3)(4)(-1)\\=-12[/tex]

Answer

-12

The price of a gallon of unlead gas has risen to $2.88 today. yesterdays price was $2.83. Find the percentage increase. Round your answer to the nearest tenth of a percent.

Answers

I’m probably wrong I think it is $2.90

Hope this helps!
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HELP!! PLS JT WONT TAKE LONG. IS THIS PHOTO CURVE A NORMAL DISTRIBUTION. WHY OR WHY NOT.

Answers

Answer:

no, it isn't symmetrical

Step-by-step explanation:

give me brainliest pls

Question 43 of 50
The graph of an exponential function that is increasing is ƒ(x) = (1/5)x.

False

True

Answers

Answer:

Option: A is the correct answer.

Step-by-step explanation:

Clearly from the graph we could observe that the graph is a decay exponential function as the graph of the function is decreasing with the increasing value of x.

Hence, the rate has to be less than 1.

So, option: B and D are ruled out as they represent a growth exponential function.

Also from the graph given in the question we could observe that when x=0 the value of y is:

y=4

So, the exponential function that is represented by the graph is:

Answer: true

Step-by-step explanation:

A line has a slope of 1 and passes through the point (-2, 8). What is its equation in slope-intercept form?

Answers

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{ 1}(x-\stackrel{x_1}{(-2)}) \implies y -8= 1 (x +2) \\\\\\ y-8=x+2\implies {\Large \begin{array}{llll} y=x+10 \end{array}}[/tex]

Answer: The answer is y=x+10

A random sample of 40 college professors is selected from all professors at a university. The following list gives their ages.
64, 40, 45, 43, 33, 50, 47, 49, 42, 28, 55, 64, 55, 41, 65.
64, 50, 45, 51, 23, 35, 64, 43, 45, 37, 37, 47, 34, 27, 49,
62, 39, 35, 44, 23, 36, 42, 34, 32, 52.
D

Answers

The required leaves values for the given stems are calculated below.

What is Stem-and-Leaf plot?

A plot where every information esteem is parted into a "leaf" (typically the last digit) and a "stem" (different digits). For instance "32" is parted into "3" (stem) and "2" (leaf). The "stem" values are recorded down, and the "leaf" values are recorded close to them.

For example , 42, 34, 48, and so on.

Here 42 and 48 qualities will be written in stem 4 as their most memorable digit is 4, while 2 and 8 will be placed in the leaf side.

Likewise, 3 will be the stem, and 4 will be the leaf for esteem 34.

4| 2, 8

3| 4

According to question:

65​, 40​, 47​, 47​, 33​, 55​, 44​, 49​, 46​, 22​, 58​, 65​, 56​, 41​, 63​, 65​, 54​, 42​, 58​, 29​, 39​, 66 ​, 49​, 42​, 34​, 36​, 42​, 35​, 21​, 44​, 61​, 35​, 33​, 42​, 27​, 30​, 46​, 33​, 35​, 58.

As given in the question that the stem and Leaves are to be separated by a hyphen.

Stem-and-Leaf plot 6 -  5, 5, 3, 5, 6, 1

5 -  5, 8, 6, 4, 8, 8

4 -  0, 7, 7, 4, 9, 6, 1, 2, 9, 2, 2, 4, 2, 6

3 -  3, 9, 4, 6, 5, 5, 3, 0, 3, 5

2 -  2, 9, 1, 7

As we can see above there are 5 stems, where stem 6 has 6 leaves, stem 5 has 6 leaves, stem 4 has 14 leaves, stem 3 has 10 leaves, and stem 2 has 4 leaves.

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Choose an equation in slope-intercept form for the line that passes through (0,7) and is parallel to the y=4x-19
a. y= (1/4)x - 7
b. y= (1/4)x + 9
c. y = 4x + 3
d. y = 4x + 7

Answers

Answer:

Step-by-step explanation:

You dont even need to look at the slope. For it to pass through (0,7) answer d with the +7 at the end is the only right answer

your welcome

D

The midpoint of AB is M (3, -1). If the coordinates of A are (8, 4), what are the coordinates of B?

Answers

The coordinates of B are (15,-6) :)

HELP PLEASE this is urgent

Answers

Answer:

10.5 cm

Step-by-step explanation:

YZ corresponds to TU

YZ:TU = 9:3 = 3:1

XY corresponds to ST

ST = 3.5 cm

XY:ST = 3:1

XY/ST = 3/1

XY/3.5 cm = 3

XY = 10.5 cm

Answer is ST = 10.5 cm

Step by step

Line up your known sides

TU and ZY are similar
The dilation rate is small to large x3 ratio
(9/3) therefore
ST to TY is also rate of x3
ST = 3.5 x 3 = 10.5cm

In a class, the ratio of girls to boys is 2:3. There are 12 boys in the class. How many women are in the class?

Group of answer choices

1. 13

2. 18

3. 8

4. 11

Answers

Answer:

8

Step-by-step explanation:

Because we multiply 4 by both sides

2 times 4 is 8 for girls

4 times 3 is 12 for boys

So it asked for girls and 4 times 2 is 8

So the answer is 8

8 women are in the class.

PLEASE HELP ME.!! I WILL GIVE BRAIN LIST

Which graph shows the image of ΔABC after a rotation about the origin?

Answers

Choice B shows a rotation about the origin. When rotating a figure, the figure shifts its position to form a 90° angle intercepting through the origin and to the corresponding pre-image. Choices A and C show a reflection where the figure is mirrored, not rotated.

Answer: Choice B

Answer:

B

Step-by-step explanation:

A is a reflection across the y-axis.

B is the result of a rotation around the origin either by 90° counterclockwise, or by 270° clockwise.

C is a reflection across the x-axis.

D is a translation (shift) by -5 to the left.

-14x - 6 + 8 What is the answer???

Answers

Answer:

The answer is 2-14x or

-12x

mean of 1/3 and - 2/5

Answers

Answer:

-1/30

Step-by-step explanation:

add the two numbers and divide by 2

If angle 1 is 25 degrees in the parallelogram pictured above, what is angle 2

if q is 1x+ 10 and AC is 7x+8 what is the length of AC? Round your answer to the nearest hundredth

Answers

Applying the properties of a parallelogram:

1. Length of AC = 24.8 units

2. x = 1

What are the Properties of a Parallelogram?

Some properties of parallelogram we need to recall in  order to solve the problem given are:

They have two pair of sides that are parallel to each other and also of the same length.They have two diagonals that bisect each other into equal halves.

1. q = 1x + 10

AC = 7x + 8

Therefore:

q = 1/2(AC) [based on the property of a parallelogram]

Substitute

x + 10 = 1/2(7x + 8)

Solve for x

2(x + 10) = 7x + 8

2x + 20 = 7x + 8

2x - 7x = -20 + 8

-5x = -12

x = -12/-5

x = 2.4

Length of AC = 7x + 8 = 7(2.4) + 8

Length of AC = 24.8 units

2. x + 8 = 7x + 2 [based on the property of a parallelogram]

x - 7x = -8 + 2

-6x = -6

-6x/-6 = -6/-6

x = 1

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If one of the factors from the product of 3 identical factors of a number is 4, what is that number?

Answers

Answer:

64

Step-by-step explanation:

Since one of the 3 identical factors is 4, then the number is 4×4×4, or 4³

Find the distance between (−7, 2) and (−6, 3). Round your answer to the nearest tenth.

Answers

Answer:

[tex]\huge\boxed{\sf D=1.4 \ units}[/tex]

Step-by-step explanation:

Points:[tex](x_1,y_1)=(-7,2)[/tex][tex](x_2,y_2)=(-6,3)[/tex]Distance Formula:Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Put the above points in the formula.

[tex]D=\sqrt{(-6-(-7))^2+(3-2)^2} \\\\D=\sqrt{(-6+7)^2+1^2} \\\\D=\sqrt{1^2+1} \\\\D=\sqrt{1+1} \\\\D=\sqrt{2} \\\\D=1.4 \ units\\\\\rule[225]{225}{2}[/tex]

7x - 10y = 28
7x - 3y = 28

Answers

Answer:

(4, 0)

Step-by-step explanation:

7x - 10y = 28

7x - 3y = 28

------------------

(7x - 10y = 28) × -1

-7x + 10y = -28

--------------------------

-7x + 10y = -28

7x - 3y = 28

--------------------------

           7y = 0

             y = 0

7x - 10y = 28

7x - 10(0) = 28

7x = 28

÷7   ÷7

----------------

x = 4

(x, y)

(4, 0)

I hope this helps!

Answer:

x-intercepts for 7x - 10y = 28:  

(4,0)

y-intercepts:

(0, -14/5)

x-intercepts for 7x - 3y = 28:

(4, 0)

y-intercepts:

(0, -28/3)

Step-by-step explanation:

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

Find the surface area
3yd
3yd
8yd

Answers

Answer: 72

Step-by-step explanation: 3 x 3 x 8 = 72

3 x 3 = 9

9 x 8 = 72

{ | ∈ and 3 ≤ < 9} ROOSTER MODE

Answers

The rooster form of the given set is {3, 4, 5, 6, 7, 8}

What is the rooster form of set?

The contents of a set can be described by listing the elements of the set, separated by commas, inside a set of curly brackets. This way of describing a set is called roster form.

Given a set, {I ∈ ≤3<9}

Converting in rooster form, {3, 4, 5, 6, 7, 8}

Hence, The rooster form of the given set is {3, 4, 5, 6, 7, 8}

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solve for U
3u − –2 = 8
U=

Answers

U = 2
3(2) - -2 =8
3 times 2 equals 6.
And 6 plus 2 equals 8.
When a subtraction symbol is in front of a negative number you add.
The appropriate answer is

+*+=+
+*-= -
-*- = +
-*+= -
So back to the Question
3*2= 6
6+2= 8

U=2
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If fx)=1/9x-2, what is f¹(x)?
0 f¹(x)= 9x + 18
0 f¹(x)= 1/9x+ 2
0 f¹(x)= 9x+2
0 f¹(x)= -2x + 1/9

Answers

Answer:

f⁻¹(x)= 9x + 18

Step-by-step explanation:

1. Replace f(x) with x, and x with y:  x=1/9y-2

2. Solve for y:

   x=1/9y-2

   9x=y-18

   9x+18=y

3. Replace y in step 2 with f⁻¹(x)

How many ways can 5 couches snd 7 beds be chosen from a shipment off 11 couches shipme b ts and 10 bed shipments

Answers

The number of ways can 6 couches and 5 beds are chosen from a shipment of 11 couches and 12 beds will be 55440

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

It is given that, the total number of couches and beds will be 11 and 10.

We have to find a number of ways for the 5 couches and 7 beds are chosen from a shipment.

The different methods are there to select 5 couches and 7 beds from a shipment of 11 couches and 10 beds obtained as,

=11C₅× 10C₇

=462×120

=55440

Thus, the number of ways can 6 couches and 5 beds are chosen from a shipment of 11 couches and 12 beds will be 55440

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31 MULTIPLE CHOICE which of the following is not possible geometry

Answers

Answer:

? where are the questions i will edit when answer arrive.

Step-by-step explanation:

I need help with this please help me

Answers

Answer: 18

Step-by-step explanation:

[tex]\triangle HJK \cong \triangle HLK[/tex] by HL. Therefore, [tex]JK=2[/tex] by CPCTC.

Using the segment addition postulate, [tex]GK=9[/tex].

Furthermore, [tex]\triangle HGK \cong \triangle HMK[/tex] by HL. This means that [tex]MK=9[/tex] by CPCTC.

Using the segment addition postulate again, [tex]GM=9+9=18[/tex].

Last year, 769 of the 1,307 residents in a small town owned more than one vehicle.

Use this historical data to find the probability that a randomly selected resident in this small town owns more than one vehicle.

Answers

Answer:
Around 58 percent

If a firm sold some inventory on credit as opposed to cash, there is no reason to think that either its current or quick ratio would change. a

Answers

The given statement would be "false".

What is the quick ratio?

A quick ratio compares the company's most liquid assets to a short-term commitment. The quick ratio is computed by adding the cash and equivalents of the firm to its short-term investments and account receivable. Divide the figure by the firm's existing liabilities.

As per the question, there is no reason to believe that if a company sold any goods on credit rather than cash, its current or quick ratio would change that would be false.

Thus, the given statement would be "false".

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The question seems to be incomplete the correct question would be:

Find the statement true or false.

If a firm sold some inventory on credit as opposed to cash, there is no reason to think that either its current or quick ratio would change. (T/F)

The following coordinate plane shows three of the vertices of a rectangle. On an 8 by 8 coordinate grid, T is plotted 1 unit right and 4 units up from the origin. P is plotted 6 units right and 2 units up from the origin. Z is plotted 3 units right and 5 units up from the origin. What are the coordinates of Point Z? ( Choose... ) What are the coordinates of Point P? ( Choose... ) Which point has coordinates ( 1 , 4 ) ? Choose... In order to create a rectangle using these points as three of the vertices, what coordinates should be used for the fourth vertex? ( Choose... )

Answers

The coordinates of the points are given as follows:

Point Z: (3,5).Point P: (6,2).Point T has coordinates (1,4).

The coordinates of the fourth vertex are of:

(4,1).

What are the ordered pairs?

The notation of an ordered pair is given as follows:

(x-coordinate,y-coordinate).

The x-coordinate is the horizontal movement, defined as follows:

Right: positive x-coordinate.Left: negative x-coordinate.

The y-coordinate is the vertical movement, defined as follows:

Up: positive y-coordinate.Down: negative y-coordinate.

The equivalent sides on a rectangle are congruent, hence the equivalent sides are:

TZ and PM.

Hence the missing coordinate M is:

1 unit down from P, hence y = 2 - 1 = 1.2 units left from P, 6 - 2 = 4.

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The value of a brand new car depreciates 10% when leaving the agency and another 5% after the first year of use. After one year of use, the value of a certain automobile is $51,300.00. Which of the following mathematical expressions correctly represent the value (x) of this automobile zero km? x times open parentheses 0 comma 10 plus 0 comma 05 close parentheses equals 51300 double right arrow x equals 342000 x times open parentheses 0 comma 90 plus 0 comma 95 close parentheses equals 51300 double right arrow x equals 26308 x equals 51300 plus 51300 over 10 plus 51300 over 5 double right arrow equals 66690 x equals 51300 minus open parentheses 51300 over 10 plus 51300 over 5 close double right arrow x equals 35910 x times 0 comma 90 times 0 point 95 equals 51300 double right arrow x equals 60000​

Answers

ALGEBRAIC EXPRESSIONS

The value of the car zero km is given by the expression x = 60000.

LET ME EXPLAIN SOMETHING:

An algebraic expression is one that has several operations between numbers and letters (unknowns): addition, multiplication, subtraction, division, potentiation, rooting, etc.

LET'S GO TO THE SOLUTION:

Let x be the initial value of the car, we know that it depreciates 10% when leaving the agency and another 5% after one year. If the value of this car is $51,300.00 after 1 year, we will have to:

When you leave the agency, your value decreases by 10%:

x·(100% - 10)% = 90% of x = 0.9x

After a year, its value decreases by 5%:

0.9x·(100% - 5)% = 95% of 0.9x = 0.855x

0.855x = 51300

x = 60000

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