Jorge reasons that the next letter in the sequence is M, since three letters of the alphabet are skipped between each listed. Which explains whether Marcy should agree with Jorge's inductive reasoning.

Answers

Answer 1

Complete question is;

Consider the sequence shown: A, E, I … Jorge reasons that the next letter in the sequence is M, since three letters of the alphabet are skipped between each listed letter. Which explains whether Marcy should agree with Jorge’s inductive reasoning?

A. No; the sequence could be listing the vowels in alphabetical order.

B. No; sequences with only three terms are too short to use to find patterns.

C. Yes; this is the only reasonable pattern that can be identified from the terms.

D. Yes; inductive reasoning is a valid method for determining terms of a sequence

Answer:

Options C and D are the correct reasons why Marcy should agree with Jorge.

Step-by-step explanation:

A) It's wrong because the alphabets don't have to be listed in alphabetical order.

B) It's wrong because sequence can take any form. It could be 2 terms used to find patterns. It does not matter.

C) This is correct because after letter A, the next 3 letters which are B, C, D were skipped before E. Also, after E, the next 3 letters were skipped which are E, F, G before I. Thus, it's the only reasonable pattern from the terms to find the next term.

D) Inductive reasoning is based on observing patterns in a sequence, which we can use to decide the next successive terms of such a sequence. Thus, this is true because inductive reasoning is a valid method.


Related Questions

A homeowners association charges a $3.85 fee for each day your payment is late. If a bull is paid 13 days late, then how much will the homeowners association charge in late fees?​

Answers

Answer:

$50.05

Step-by-step explanation:

Since you have to pay $3.85 per day, and you pay it 13 days late, then you would multiply $3.85 and 13.

3.85*13= 50.05

Total amount of late charges fee is $50.05

Given that;

Amount pay for late charges = $3.85

Number of days = 13 days

Find:

Total amount of late charges fee

Computation:

Total amount of late charges fee = Amount pay for late charges × Number of days

Total amount of late charges fee = 3.85 × 13

Total amount of late charges fee = $50.05

Learn more:

https://brainly.com/question/22177923?referrer=searchResults

I will mark you brainliest!!

Answers

Answer:

Alternate-exterior angles theorem.

Step-by-step explanation:

Two parallel lines are cut by a transversal, and if there are a pair of congruent angles that are outside of the parallel lines, and on opposite sides of the transversal, you will have the alternate-exterior angles theorem.

Find the value of x. (3x-9)(x+7)

Answers

Answer:

The answer to this question is 23

Step-by-step explanation:

The reason is because....

23x3= 69

69-9=60

60+ (x+7)

23+7=30

30+60=90

The angle shown is a 90 degree angle therefore this is your answer.

Which name describe only those numbers highlighted on the number line.

Answers

Answer: negative numbers

Explanation: Notice that on the number line, 0 is in  the middle, all numbers to the left of 0 are negative, and all numbers to the right of 0 are positive.

Since the numbers highlighted only include numbers

to the left of 0, negative numbers are shown here.

if f(x)=4x^2-6

find f(3)

Answers

Answer:

f(3) = 30

Step-by-step explanation:

f(x) = 4x² - 6

To find f(3) substitute the value of x that's 3 into f (x) that is for every x in f (x) replace it with 3

We have

f(3) = 4(3)² - 6

= 4(9) - 6

= 36 - 6

We have the final answer as

f(3) = 30

Hope this helps you

Answer: f(3) = 30

Step-by-step explanation:

The population of a town increased from 3600 in 2006 to 4500 in 2011. Find the absolute and relative (precent) increase.

Answers

what grade math is this????????????????????

In this exercise, lines m and n are parallel. Find the measure of each numbered angle.

ITS 9 PARTS

Answers

1 = 62° ( Vertically Opposite Angles )

10 = 62° ( Corresponding Angles )

9 = 10 = 62° ( Vertically Opposite Angles )

6 = 95° ( Vertically Opposite Angles )

7 = 180° - 95° = 85° ( Linear Pair )

8 = 7 = 85° ( Vertically Opposite Angles )

5 = 8 = 85° ( Corresponding Angles )

3 = 5 = 85° ( Vertically Opposite Angles )

4 = 180° - ( 9 + 7 )

4 = 180° - ( 62° + 85° )

4 = 180° - 147°

4 = 33° ( Angle Sum Property )

2 = 4 = 33° ( Vertically Opposite Angles )

last year ,rita opened an investment account with $400 At the end of the year the amount in the account had decreased by 28.5% how much is this decrease in dollars? how much money way in her account at the end of last year

Answers

Answer:

Step-by-step explanation:

decrease=400×0.285=114.000 $

amount at the end=400-114=286 $

Find two numbers with a sum of 65. Twice the smaller number is 10 more than the larger number.

Answers

Answer:

40 and 25

Step-by-step explanation:

Let the two numbers be x and y. If the sum of the numbers is 65, then;

x+y = 65........ 1

Given twice the smaller number is 10 more than the larger number, this can be written as 2x = 10+y (taking x as the smallest and y as the largest)

Therefore 2x = 10+y

x = 10+y/2 ....... 2

Substitute equation 2 into 1 to have;

10+y/2 +y = 65

Find the LCM

(10+y+2y)/2 = 65

10+3y/2 = 65

cross multiply

10+3y = 130

3y = 130 -10

3y = 120

y = 120/3

y = 40

Since 2x =10+y

2x = 10+40

2x = 50

x = 50/2

x = 25

Therefore the two numbers are 40 and 25

Answer:

40 and 25

Step-by-step explanation:

D) Solve for k.
4(K + 11) - -2 = 6
K=

Answers

Answer: K=23

Step-by-step explanation:

Answer:

k=9

Step-by-step explanation:

4k+44 because you distribute the 4 to the parenthesis

new equation: 4k+44-2=6

add 2 to 6 which would be 8 because you have to get k by itself

4k+44=8 subtract 44 from 8

-36=4k

divide by four

k=-9

if the equation is really 4(k+11)--2=6

do the same first steps so 4k+44

but the -2 would become positive cuz of the double negative

so:

4k+44+2=6

4k+46=6

subtract 46 from 6

4k=-40

divide -40 by 4

k=-10

4x - 3y = 6 ,7x + 3y =27

Answers

Answer:

Step-by-step explanation:

4x - 3y = 6

7x + 3y = 27

11x = 33

x = 3

7(3) + 3y = 27

21 + 3y = 27

3y = 6

y = 2

(3,2)

Answer:

x=3 and y=2

Step-by-step explanation:

Let's solve your system by substitution.

4x−3y=6;7x+3y=27

Step: Solve4x−3y=6for x:

4x−3y=6

4x−3y+3y=6+3y(Add 3y to both sides)

4x=3y+6

4x /4 = 3y+6 /4  (Divide both sides by 4)

x= 3 /4 y+ 3 /2

Step: Substitute

3 /4 y+ 3 /2  for x in7x+3y=27:

7x+3y=27

7( 3 /4 y+ 3 /2 )+3y=27

33 /4 y+ 21 /2

=27 (Simplify both sides of the equation)

33 /4 y+ 21 /2 + (−21 /2 )

=27+ (−21 /2) (Add (-21)/2 to both sides)

33 /4 y= 33 2

33/4y=33/2

33 /4  =33/4 (Divide both sides by 33/4)

y=2

Step: Substitute 2 for y in x= 3 /4 y+ 3 /2

x= 3 /4 y+ 3 /2

x= 3 /4  (2)+ 3 /2

x=3 (Simplify both sides of the equation)

Answer:

x=3 and y=2

HOPE THIS HELPS!!!! :)

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The midpoint of AB is M(3, 3). If the coordinates of A are (2, -1), what are the
coordinates of B?

Answers

Step-by-step explanation:

Hey there!!

It's so simple.

While finding the coordinates of any point if the midpoint is there it will be much easier. You must remember the midpoint formulae.

Let's simply work with it.

Here, A (2,-1) and midpoint M(3,3) are given.

Let another coordinate be B(x,y).

By midpoint formulae,

[tex]midpoint(x.y) = \frac{x1 + x2}{2} ,\frac{y1 + y2}{2} [/tex]

Putting their values,

[tex]m(3 , 3) = \frac{2 + x}{2} , \frac{ - 1 + y}{2} [/tex]

As they are equal, equating with their corresponding elements we get,

[tex]3 = \frac{2 + x}{2} [/tex]

6= 2 + x

x = 6-2

Therefore, the value of a is 4.

Again,

[tex]3 = \frac{ - 1 + y}{2} [/tex]

6 = -1 + y

Therefore, the value of y is 7.

Therefore, the coordinates are B (4,7)

Hope it helps....

Answer:

The coordinates of B is (4, 7)

Step-by-step explanation:

To find the answer for B, you have to do the inverse of the midpoint formula, which is M equals (x1 multiplied by x2, over 2; y1 multiplied by y2, over 2).

If you substitute in A's coordinates for x1 and y1, you come up with (3, 3) = (2+x, over 2; and -1+y, over 2)

If the x coordinate answer for AB was 3, you can create an equation like this to solve for B's x coordinate: 2+x over 2 equals 3.

          you multiply 2 by 3 to get 6---> 2+x=6-----> x=4

If the y coordinate for AB was also three, you can create another equation to solve for B's y coordinate: -1+y over 2 equals 3.

         you multiply 2 by 3 to get 6 again---->so -1+y=6---->y=7

so the answer for B's coordinates is (4, 7).

On a shelf there are 40 chips. 30 of them are cheddars flavored . What is the percentage of those that are cream cheese flavored?

Answers

Answer:

Hey there!

30/40 are cheddar flavored, so 10/40 are cream cheese flavored.

10/40=25, so 25% of the chips are cream cheese flavored (assuming that the rest of the chips are all cream cheese flavored)

Let me know if this helps :)

Which angles are complementary to each other?

Answers

Answer:

angle CDA and angle BDC

mark this as brainliest!

Answer:

∠CDA and ∠BDC as their sum equals 90°

Step-by-step explanation:

Aaron bought a $3,000.00 car from Chad's Used Cars. What was his cost of credit if he had a 5 year loan at 3.5% interest? P is the principal, r is the interest rate, m is the number of monthly payments, M is the monthly payment
A. $274.80
B. $380.40
C. $227.04
D. $164.76

Answers

Answer:

Term in months. Number of months for this loan. Loan amount. Total amount of your loan. Interest rate. Annual ...

Step-by-step explanation:

(1 point) Find f if f′′(x)=2+cos(x),f(0)=3,f(π/2)=−6.

Answers

5/8-x=9
Hhhijkddnsmks

Let f(x)=x^2−4x. Solve f(x)=−4.

Answers

Answer:

( x + 2) ( x - 2 )

Step-by-step explanation:

f(x) = x^2 -4x

-4 = x^2 - 4x

0 =  x^2 - 4x + 4

0 = ( x + 2) ( x - 2 )

( x + 2) ( x - 2 )

a garden table and bench costs $842 combined. the garden table costs $92 more that the bench. what is the cost of the bench?​

Answers

I think the answer would be 750

Answer:

$375 is what i got on

1.CONVERT TO SCIENTIFIC NOTATION2.CONVERT TO STANDARD NOTATION
a. 895,000,000,000a. 3.65 x 108

Answers

Answer:

Step-by-step explanation:

a. 8.95 x 10^11

b. 3.65 x 10^8= 365,000,000

Answer:

a. 8.95 x 10^11

b. 3.65 x 10^8= 365,000,000

Step-by-step explanation:

(7,-1) and ( 21,-5) what is the slope

Answers

Answer:

-2/7

Step-by-step explanation:

Going from (7,-1) to ( 21,-5) we see x (the 'run') increasing by 14 and y (the 'rise') decreasing by 4.  Thus, the slope of the line connecting these two points is m = rise/run = -4/14, or -2/7.

Hi guys, can anyone help me with this? Many thanks:)

Answers

Step-by-step explanation:

y = √—16x²+8x—2√8x+1+2

What is the next number 5, -20, 80, -320, 1280 _

Answers

-5,120
This is because you are multiplying each by -4, like 80x-4=-320

The perimeter of a rectangle is 58 cm. The length is 2 more than twice the width. Let w represent the width.

Answers

Answer:

fewaf

Step-by-step explanation:

fsdfadfsadfasfas

A football is kicked vertically upward from a height of 4 feet with an initial speed of 65 feet per second. The formula h=4+65t−16t2 describes the​ ball's height above the​ ground, h, in​ feet, t seconds after it was kicked. Use this formula to find the​ ball's height 2 seconds after it was kicked. The​ ball's height, 2 seconds after it was​ kicked, was nothing feet. I NEED EXTREME HELP PLEASE !!!

Answers

Answer: h = 70ft

Step-by-step explanation: To find the height the ball reached after 2 seconds, substitute variable t for 2 and calculate height:

[tex]h=4+65t-16t^{2}[/tex]

[tex]h=4+65.2-16.2^{2}[/tex]

[tex]h=4+65.2-16.4[/tex]

[tex]h=4+130-64[/tex]

h = 70

After 2s, the football reached a height of 70 feet.

Answer:

if its for 3 seconds the answer is 55

Step-by-step explanation:

If f(x) = x3, evaluate the difference quotient
f(6 + h) − f(6) h

Answers

Correct question is;

If f(x) = x³, evaluate the difference quotient: [f(6 + h) − f(6)]/h

Answer:

h² + 108h + 18

Step-by-step explanation:

We are given f(x) = x³

Thus;

f(6 + h) = (6 + h)³ = (36 + 12h + h²)(6 + h) = 216 + 72h + 6h² + 36h + 12h² + h³ = 216 + 108h + 18h² + h³

Then, f(6) = 6³ = 216

Thus;

[f(6 + h) − f(6)]/h = [216 + 108h + 18h² + h³ - 216]/h = (h³ + 108h + 18h²)/h

This gives;

h² + 108h + 18

Write the expression in words 5-y

Answers

Answer:

five minus y

Step-by-step explanation:

Answer:

y less than five

Step-by-step explanation:

thats your answer, please trust me

Angel rode his bike 8 km South 5 km East how long did it take Angel to get back ​

Answers

You never gave the time for how long it takes for him to travel, so I can't answer how long it took him to get back. But I do know that he rode 13 km in total, and that he will need to travel 13 more I'm to get back.

Calculus 2 Master needed, evaluate the indefinite integral of: [tex]\int\( (lnx)^2} \, dx[/tex] So far I had applied the integration by parts and got: [tex](ln x )^2*x - \int\ x*((lnx)^2/2)}[/tex] do we do integration by parts again? also, do we simplify the x at my current stage? steps shown would be appreciated

Answers

Answer:

[tex]\displaystyle \int (\ln(x))^2\, dx=x(\ln(x)^2-2\ln(x)+2)+C[/tex]

Step-by-step explanation:

We want to evaluate the integral:

[tex]\displaystyle \int\left(\ln x\right)^2 \, dx[/tex]

We can use Integration by Parts. Rewriting the integral yields:

[tex]\displaystyle =\int 1\cdot (\ln(x))^2\, dx[/tex]

Recall that IBP is given by:

[tex]\displaystyle \int u\, dv = uv - \int v \, du[/tex]

Let u be (ln(x))². And let dv be (1) dx. Therefore:

[tex]\displaystyle du = 2\ln x \cdot \frac{1}{x}\, dx[/tex]

Simplify:

[tex]\displaystyle du=\frac{2\ln(x)}{x}\, dx[/tex]

And:

[tex]dv=(1)dx\Rightarrow v = x[/tex]

Therefore:

[tex]\displaystyle \int (\ln(x))^2\, dx=\underbrace{\ln(x)^2}_{u}\underbrace{x}_{v}-\int\underbrace{x}_{v}\cdot \underbrace{\frac{2\ln(x)}{x}\, dx}_{du}[/tex]

Simplify:

[tex]\displaystyle =x\ln(x)^2-2 \int\ln(x)\, dx[/tex]

We can perform IBP again. Let u = ln(x) and v = 1. Hence:

[tex]\displaystyle du = \frac{1}{x} \, dx[/tex]

And:

[tex]dv=(1)dx\Rightarrow v = x[/tex]

Thus:

[tex]\displaystyle =x\ln(x)^2-2\left(x\ln(x)-\int (x)\frac{1}{x}\, dx\right)[/tex]

Simplify:

[tex]\displaystyle =x\ln(x)^2-2\left(x\ln(x)-\int (1)\, dx\right)[/tex]

Evaluate:

[tex]=x\ln(x)^2-2(x\ln(x)-x)+C[/tex]

Simplify:

[tex]\displaystyle =x\ln(x)^2-2x\ln(x)+2x[/tex]

Factor:

[tex]=x(\ln(x)^2-2\ln(x)+2)[/tex]

Therefore:

[tex]\displaystyle \int (\ln(x))^2\, dx=x(\ln(x)^2-2\ln(x)+2)+C[/tex]

15. _TYU and ZUYB form a linear pair. The mZTYU = 5x - 4 and mZUYB =
3x + 10. Find the degree measure of each angle. HINT: draw a picture.
Upload your work in canvas assignment.

Answers

Answer:

∠TYU = 104.75°∠UYB = 75.25°

Step-by-step explanation:

A picture on scratch paper works as well as any.

__

The sum of the two angles is 180°:

  (5x -4) +(3x +10) = 180

  8x = 174 . . . . . . collect terms, subtract 6

  x = 21.75 . . . . . .divide by 8

Then the angle measures are ...

  ∠TYU = 5(21.75) -4 = 104.75°

  ∠UYB = 3(21.75) +10 = 75.25°

_____

Check

The total is 104.75 +75.25 = 180, as required.

Answer:

104.75 +75.25 = 180

Step-by-step explanation:

Pregunta 4 (1 punto)
4.) Fill in the blank
2(x+7) = 2x + _
оа
a) 7
b) 14
c
c) 7x
d) 14x
Od

Answers

Answer:

7....................

C 7x step- step explaination
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