Study the patterns and write down :
(a) Row 5
(b) Row n
(c) Row (n+1)​

Study The Patterns And Write Down :(a) Row 5(b) Row N(c) Row (n+1)

Answers

Answer 1

Answer:

a) Row 5: 75 - 216 - 51

b) 3n² - (n+1)³ - (71-4n)

c) 3(n+1)² - (n+2)³ - (67-4n)

Step-by-step explanation:

Column 3:

Arithmetic sequence with common difference: 63-67 = -4

an = 67 + (n-1)(-4)

an = 67 - 4n + 4

an = 71 - 4n

Row 5: 3×5² - (5+1)³ - (71-(5×4))

Row 5: 75 - 216 - 51

Row n: 3n² - (n+1)³ - (71-4n)

Row n+1: 3(n+1)² - (n+1+1)³ - 71-4(n+1)

Row n+1: 3(n+1)² - (n+2)³ - (67-4n)

Answer 2

Answer:

Column 1

Tn= 3n²

row n= 3n²

row n+1= 3(n+1)²

When n=5,

T₅ = 3(5)²

T₅ = 75

Thus, row 5= 75

Column 2

Tn= (n+1)³

row n= (n+1)³

row n+1

= (n+1+1)³

= (n+2)³

When n=5,

T₅ = (5+1)³

T₅ = 6³

T₅ = 216

row 5= 216

Column 3

Notice that the terms decrease by 4 with each row.

This means that there is a common difference of -4.

Common difference formula

Tn= a +d(n-1)

where a is the first term and d is the common difference.

Tn= 67 -4(n-1)

Now, simplify the formula

Tn= 67 -4n +4

Tn= 71 -4n

Row n= 71 -4n

Row n+1

= 71 -4(n+1)

= 71 -4n -4

= 67 -4n

when n=5,

T₅= 71 -4(5)

T₅= 51

Row 5= 51

Row n is the general formula for the pattern. To find the n+1 row, susbt. n+1 into n in the formula in row n.

Study The Patterns And Write Down :(a) Row 5(b) Row N(c) Row (n+1)
Study The Patterns And Write Down :(a) Row 5(b) Row N(c) Row (n+1)

Related Questions

The blue dot 15 at what value on the
number line?
10
2

Answers

Answer: The blue dot is 20.

Step-by-step explanation:

Which transformations could have taken place to map △ABC to △A"B"C"?


A. a reflection and a dilation

B. a rotation and a dilation

C. a translation and a dilation

D. a reflection and a translation



Answers

Answer:

C. A translation and a dilation

Step-by-step explanation:

Of course it has to be a dilation as the size is obviously different. So that takes D out of the question. The angles are in the same spots as B is still at the highest on both triangles and so does A. Which means it just translated (moved/slide) to the right and up a bit.

The answer is C. A translation and a dilation

Parker plans to buy boxes of tissues at $12 each and bowls at $4 each for his restaurant. 1)Write an algebraic expression to find the total cost of the tools if Parker buys x boxes of tissues and y bowls. 2)What is the total cost of Parker’s purchase if x=6 and y=15?

Answers

Answer:

12x+4y=132

Step-by-step explanation:

Just substitute the numbers in then substitute the others in, 12 times 6 and 4 times 15 then add the two together

Find all real numbers x such that
3x - 4 > 5 and -8x - 19 < 21

Answers

Answer:

-4, 5, -19, 21.

Step-by-step explanation:

Hope this helps it was super confusing and i didnt rlly understand it. pls let me know if itss wrong and i will edit my answer. If right, mark be brainlist!

Please Help!! I will give brainliest answer but only if you explain clearly and you get it correct. If you roll two fair six-sided dice, what is the probability that the dice show the same number?

Answers

Answer:

1/6

Step-by-step explanation:

The probability of one dice being a particular number is 1/6. The probability of two dice being the same particular number is 1/6 x 1/6 = 1/36. This is not the same as saying that both dice are the same number. There are six different possible numbers, so that would be 6/36 or 1/6.

1/6 given that there is only 6 sides

Can someone plz help me? 20 points and get brainliest!!!

Answers

Answer

1 is the second option, 2 is the third option

Step-by-step explanation:

for the first one divide both sides by 7 giving you z < -4

since z is less than the arrow will go to the left and will start at -4, but the will be an open circle since z is not equal to -4 answer b

for the second

it is 6/20 or 3/10

3/10 is 30% so answer c

What is the following product?
12.18
N
30
56
EN
6V6

Answers

6v6 is the answer :)

Slove 7+x-15=-2 2/3

6 1/3
10 2/3
20 2/3
5 1/3

Answers

Answer:5 1/3

Step-by-step explanation:

Hope I helped u :)

Hamza decides to increase the prices of all items in his shop by 10%

a) Work out the new price of an item normally priced at £210

b) Work out the new price of an item normally priced at £48

Answers

Answer:

a) £231

b) £52.80

Step-by-step explanation:

a) 210x1.1=231

b) 48x1.1=52.80

A. will be sell at £231

B. will be sell at £52.8

What is the inverse of multiplying by 4?
A. Adding 4
B. Subtracting 4
C. Multiplying by 4
D. Dividing by 4

Answers

Dividing by 4 which is D.
I think the anser is d that what i think

Write a piecewise function that models each telephone billing plan. Then graph the function.

$60 per month buys 450 minutes. Additional time costs $0.35 per minute.

Answers

Answer: if  0 < x ≤ 450, y = $60.

if 450 < x ; y = $60 + (x - 450min)*$0.35

Step-by-step explanation:

Here x will represent the number of minutes.

with $60 you have 450 minutes, and you must pay 60 regardless of how much minutes you use.

so if  0 < x ≤ 450, y = $60.

now, if you call for more than 450 minutes, you get an additional of $0.35 per minute, then we have:

if 450 < x ; y = $60 + (x - 450min)*$0.35

where we use (x - 450)*$0.35 because any minute after the 450 minute mark is considerated an additional time.

So our piecewise function is:

if  0 < x ≤ 450, y = $60.

if 450 < x ; y = $60 + (x - 450min)*$0.35

if  0 < x ≤ 450, y = $60.

if 450 < x ; y = $60 + (x - 450min) × $0.35

the calculation is as follows:

Here x will represent the number of minutes.

so if  0 < x ≤ 450, y = $60.

And,

if 450 < x ; y = $60 + (x - 450min) × $0.35

where we use (x - 450) ×$0.35 since any minute after the 450 minute mark is considered an extra time.

Find out more information about the graph here: https://brainly.com/question/14375099?referrer=searchResults

Which transformations would result in the image shown?


a.ABCD is reflected over both axes.

b.ABCD is translated right 4 units and down 3 units.

c.ABCD is reflected over the x-axis and translated right 4 units.

d.ABCD is reflected over the y-axis and translated down 3 units.

Answers

Answer:

a.ABCD is reflected over both axes.

Step-by-step explanation:

Reflection over x-axis transforms point (x, y) into (x, -y)

Reflection over y-axis transforms point (x, y) into (-x, y)

Then, reflection over both axes transforms point (x, y) into (-x, -y). Applying this rule to figure ABCD:

A (-2, 2) -> (2, -2) which corresponds to point A'

B (-1, 2) -> (1, -2) which corresponds to point B'

C (-1, 1) -> (1, -1) which corresponds to point C'

D (-3, 1) -> (3, -1) which corresponds to point D'

Answer:

It is a

Step-by-step explanation:

hope this helps

Need help with a this question thank you

Answers

Answer:

D. [tex] 3.77 \times {10}^{7} [/tex]

Step-by-step explanation:

Number of more people living in California than in Maine =

[tex]3.9 \times {10}^{ 7} - 1.3 \times {10}^{6} \\ = 39 \times {10}^{ 6} - 1.3 \times {10}^{6} \\ = 37.7 \times {10}^{6} \\ = 3.77 \times {10}^{7} [/tex]

What is four more than the quotient of 25 and y

Answers

Answer:

(25/y)+4

Step-by-step explanation:

(25/y)+4

Quotient of 25 and y (25/y)

Four more (+4)

What is the solution to the equation?
13-+x=
x--67
x=-621
X= 20
x =21

Answers

Answer:

the answer for this question is x = 13

Step-by-step explanation:

But where the option for this question?

Multiply:(square root 10 + 2 square root 8)( square root 10 - 2 square root 8)

Answers

Answer:

-22

Step-by-step explanation:

We need to multiply the following:

[tex](\sqrt{10} +2\sqrt{8})(\sqrt{10}-2\sqrt{8})[/tex]

First, we need to FOIL out this expression, then we can simplify it

[tex](\sqrt{10} +2\sqrt{8})(\sqrt{10}-2\sqrt{8})\\\\(\sqrt{10})( \sqrt{10} )+(2\sqrt{8})(\sqrt{10})-(2\sqrt{8})( \sqrt{10})-(2\sqrt{8})(2\sqrt{8}) \\\\10+2\sqrt{80} -2\sqrt{80} -4\sqrt{64} \\\\10-4(8)\\\\10-32\\\\-22[/tex]

The simplified expression after you multiply (square root 10 + 2 square root 8)( square root 10 - 2 square root 8) is -6.

What is simplified expression after you multiply?

To solve the given expression that needs you to multiply, let's first simplify the individual terms:

Square root of 10: √10

Square root of 8: √8 = √(4 x 2) = 2√2

Now, let's substitute these values into the expression:

(√10 + 2√8)(√10 - 2√8)

Using the distributive property, we can expand this expression as follows:

= (√10 x √10) - (√10 x 2√8) + (2√8 x √10) - (2√8 x 2√8)

= 10 - 2√80 + 2√80 - 4 x 8

= 10 - 16

= -6

Therefore, the simplified expression in square root is -6.

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Using Cathy's simulation, what is the probability of pulling a blue marble and the coin landing tails up? ASAP!!!

Answers

Answer:

could  you provide the entire question?

Step-by-step explanation:

sorry!

Solve the equation above​

Answers

So the right answer is 3/14

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

x=3/14

Step-by-step explanation:

Determine the fined range.

Cross multiply.

Remove parenthesis.

Move the terms.

Collect like terms.

Subtract.

Divide both sides by 14.

Check if the solution is in the defined range.

Solve the inequality 2(4x+1)<3(2x-3)

Answers

Answer:

X<-11/2

Step-by-step explanation:

Hope I helped:)

The inequality 2(4x+1)<3(2x-3) is x=-11/2

We have given that,

[tex]2\left(4x+1\right) < 3\left(2x-3\right)[/tex]

We have to determine the value of the x

What is inequality?

Inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

[tex]8x+2 < 6x-9[/tex]

Subtract 2 from both sides

[tex]8x+2-2 < 6x-9-2[/tex]

Simplify

[tex]8x < 6x-11[/tex]

subtract

[tex]8x-6x < 6x-11-6x[/tex]

Simplify

[tex]2x < -11[/tex]

divide 3 both sides by 2

x=-11/2

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Which expression is equivalent to 4/9 (2n-3)

Answers

Answer: 8/9n - 1 1/3

BTW * MEANS TIMES

Step-by-step explanation:

Given that:   4/9(2n - 3) .....[1]

The distributive property says that:

a * (b + c) = a * b + a* c

Apply the distributive property in equation [1] we get;

4/9 *  2n + 4/9 * (-3)

Simplify:

8/9n - 4/3

We can write 4/3  in mixed fraction as:

4/3 = 1 1/3

then;

8/9n - 1 1/3

Therefore, the expression which is equivalent to 4/9(2n - 3)  is, 8/9n - 1 1/3

The diameter of a basketball is approximately 24 cm. Find the volume to the nearest
hundredth. Use u = 3.14
A) 1808.64 cubic
cm
B) 5,425.92 cubic
cm
C) 7,234.56 cubic
cm
D) 57,876.48
cubic cm

Answers

Answer:

b

Step-by-step explanation:

Liz flips a coin 50 times. The coin lands heads up 30 times and tails up 20 times. Complete each statement. The theoretical probability of the coin landing heads up is ______. Based on Liz’s results, the experimental probability of the coin landing heads up is_____. The theoretical probability is than the experimental probability in this experiment________. Pls help!!!

Answers

Answer:

HEADS UP= 30/50

TAILS UP= 20/50

Answer:

HEADS UP= 30/50

TAILS UP= 20/50

Step-by-step explanation:

PLS ASAP OS FOR PRACTICE FSA PLS The diagram represents the shape and dimensions of kayla’s garden. What is the total area of the garden

Answers

Answer:

441 [tex]ft^{2}[/tex]

Step-by-step explanation:

Area of a square and rectangle = bh

Square

Base = 15

Height = 15

15 x 15 = 225

Rectangle

Base = 24

Height = 9

24 x 9 = 216

Add them together

216 + 225 = 441

Knowing that the final course grade is determined in the manner described above, Kyra can figure out what grade she needs to earn on the final exam to earn at least a 90% for her final course grade. These are her other grades she has earned so far: Q1 = 92%, Q2 = 85%, Q3 = 88%, Q4 = 84%, and mid-term exam = 89%. What is the least whole percent she must earn on the final exam?

Answers

Answer: Kyra must earn at least 100% on the final exam.

Step-by-step explanation: Kyra's scores have been accumulating from Q1 to Q4 and then the mid term exam. Her scores are outlined as follows;

Q1 = 92, Q2 = 85, Q3 = 88, Q4 = 84, mid-term = 89.

Observe carefully that the data set (number of observed data) is 5.

What she needs now is a final average score of at least 90% after her final exam. She can use this to determine what she needs to score in her final exam. In other words, now that she has a average score, all she needs is a total of all her scores up till her final exam. Note that after writing her final exam, the data set would be six and no longer five.

Before writing her final exam, Kyra's average score was calculated as;

Average = (92 + 85 + 88 + 84 + 89)/5

However after she must have written her final exam, her average would be calculated as;

Average = (92 + 85 + 88 + 84 + 89 + x)/6

Where average is given as 90 and x is the final exam score, you now have

90 = (438 +x)/6

90*6 = 438 + x

540 = 438 + x

Subtract 438 from both sides of the equation

102 = x

Therefore from the results shown, Kyra must score up to 102% in her final exam. However, knowing that she cannot obtain a score higher than 100%, we can conclude that she must score nothing less than 100% (a hundred percent) in her final exam.

find the measure of angle 2.

Answers

I think it’s c or it’s b

Find the volume of the rectangular prism. A 28 cm cubed B 42 cm cubed C 24 cm cubed D 168 cm cubed..

Answers

Answer:d

Step-by-step explanation:

the answer us d becasue you have to add all the sides together

Find the circumference of the circle. Use 3.14 for the value of pi. *
9 cm

Answers

Answer:

9 cm

Step-by-step explanation:

Solving each system by eliminating
x-y+z= -1
x+y+3z= -3
2x-y+2z= 0

Answers

There's only one system of equations here.

Let's eliminate x first,

x - y + z = -1

x = -1 + y - z

Substituting into  x + y + 3z = -3 gives

(-1 + y - z) + y + 3z = -3

2y + 2z = -2

y + z = -1

Substituting for x into 2x-y+2z = 0 gives

2(-1 + y - z) - y + 2z = 0

-2 + 2y - 2z - y + 2z = 0

y = 2

Got lucky on that one.  

z = -1 - y = -1 - 2 = -3

x = -1 + y - z = -1 + 2  - -3 = 4

Answer: x=4, y=2, z= -3

Check:

x-y+z = 4 - 2 + -3 = -1, good

x+y+3x = 4+2+3(-3) =  -3, good

2x-y+2x = 2(4)-2+2(-3) = 0, good

After solving three equations, the result is x=4, y=2, and z=-3.

What is the definition of elimination?The elimination method involves removing one of the variables by combining the two equations. This method eliminates one variable, allowing you to solve for the other. Because there are two variables in a two-equation system, eliminating one simplifies the process of solving for the other. The addition property of equality is used in the elimination method for solving systems of linear equations. Each side of an equation can have the same value. So, if you have a system where x - 6 = 6 and x + y = 8, you can add x + y to the left side of the first equation and 8 to the right.

Therefore,

Eliminate x first,

x - y + z = -1

x = -1 + y - z

Substituting into x + y + 3z = -3 gives

(-1 + y - z) + y + 3z = -3

2y + 2z = -2

y + z = -1

Substituting for x into 2x-y+2z = 0 gives

2(-1 + y - z) - y + 2z = 0

-2 + 2y - 2z - y + 2z = 0

y = 2

z  = -1 - y

Simplifying the above equation then we get,

= -1 - 2

Z  = -3

x  = -1 + y - z

Substitute the value y and z the above equation,

= -1 + 2 - (-3)

Then we get

X  = 4

Hence, The value of x = 4, y = 2, and z = -3

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The base of a 50-ft ladder that is leaning against a building is placed 35 ft away from the bottom of a building. What angle does the ladder make with the ground?
The ladder makes a _______° angle with the ground. Round your answer to the nearest degree.

Answers

46 degrees! use inverse cosine

Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the equation.
What is the standard form of the equation in rectangular​ form?

Answers

The answer is positive 5
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