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.
Find two numbers with a sum of 65. Twice the smaller number is 10 more than the larger number.
Answer:
40 and 25Step-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:
Pregunta 4 (1 punto)
4.) Fill in the blank
2(x+7) = 2x + _
оа
a) 7
b) 14
c
c) 7x
d) 14x
Od
Answer:
7....................
D) Solve for k.
4(K + 11) - -2 = 6
K=
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
Which angles are complementary to each other?
Answer:
angle CDA and angle BDC
mark this as brainliest!
Answer:
∠CDA and ∠BDC as their sum equals 90°
Step-by-step explanation:
What is the next number 5, -20, 80, -320, 1280 _
Which name describe only those numbers highlighted on the number line.
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.
On a shelf there are 40 chips. 30 of them are cheddars flavored . What is the percentage of those that are cream cheese flavored?
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 :)
4x - 3y = 6 ,7x + 3y =27
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!!!! :)
<333333333333333
Write the expression in words 5-y
Answer:
five minus y
Step-by-step explanation:
Answer:
y less than five
Step-by-step explanation:
thats your answer, please trust me
Find the value of x. (3x-9)(x+7)
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.
If f(x) = x3, evaluate the difference quotient
f(6 + h) − f(6) h
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
Hi guys, can anyone help me with this? Many thanks:)
Step-by-step explanation:
y = √—16x²+8x—2√8x+1+2Let f(x)=x^2−4x. Solve f(x)=−4.
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 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?
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
(7,-1) and ( 21,-5) what is the slope
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.
The midpoint of AB is M(3, 3). If the coordinates of A are (2, -1), what are the
coordinates of B?
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).
1.CONVERT TO SCIENTIFIC NOTATION2.CONVERT TO STANDARD NOTATION
a. 895,000,000,000a. 3.65 x 108
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:
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
Answer:
Term in months. Number of months for this loan. Loan amount. Total amount of your loan. Interest rate. Annual ...
Step-by-step explanation:
Angel rode his bike 8 km South 5 km East how long did it take Angel to get back
if f(x)=4x^2-6
find f(3)
Answer:
f(3) = 30Step-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) = 30Hope this helps you
Answer: f(3) = 30
Step-by-step explanation:
(1 point) Find f if f′′(x)=2+cos(x),f(0)=3,f(π/2)=−6.
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
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]
a garden table and bench costs $842 combined. the garden table costs $92 more that the bench. what is the cost of the bench?
Answer:
$375 is what i got on
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.
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:
The perimeter of a rectangle is 58 cm. The length is 2 more than twice the width. Let w represent the width.
Answer:
fewaf
Step-by-step explanation:
fsdfadfsadfasfas
The population of a town increased from 3600 in 2006 to 4500 in 2011. Find the absolute and relative (precent) increase.
what grade math is this????????????????????
In this exercise, lines m and n are parallel. Find the measure of each numbered angle.
ITS 9 PARTS
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 )
I will mark you brainliest!!
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.
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
Answer:
Step-by-step explanation:
decrease=400×0.285=114.000 $
amount at the end=400-114=286 $
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 !!!
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: