i need it within tomorrow please
Consider the following sequence of successive numbers of the 2k
-th power:
1, 2
2
k
, 3
2
k
, 4
2
k
, 5
2
k
, ...
Show that the difference between the numbers in this sequence is odd for all k ∈ N.
Answers
Any even number raised to any power will remain even. (e.g. 2² = 4, 2³ = 8, etc)
Any odd number raised to any power will remain odd. (e.g. 1² = 1³ = ... = 1, 3⁴ = 81, etc)
So [tex](n+1)^{2^k}-n^{2^k}[/tex] will always be even, since both
[even] - [odd] = [odd]
and
[odd] - [even] = [odd]
Related Questions
what is the highest common factor of 10,18 ,20 and 36
Answers
Answer:
2
Step-by-step explanation:
Factors of 10: 1 , 2 , 5 , 10Factors of 18: 1 , 2 , 3 , 6 , 9 , 18Factors of 20: 1 , 2 , 4 , 5 , 10 , 20Factors of 36: 1 , 2 , 3 , 4 , 6 , 9 , 12The answer is 2 because it appears more then 1 which means that it is the highest common factor aka HCF
Hope this helps
The HCF is 2.
What is HCF?
The full form of HCF is the Highest Common Factor. HCF of two or more numbers is the greatest factor that divides the numbers.
For example, 2 is the HCF of 4 and 6.
Given numbers:
10,18 ,20 and 36
Now splitting the factors of each number we have
10=2*5
18=2*3*3
20=2*2*5
36=2*2*3*3
Hence, the Highest common factor is 2.
Learn more about HCF here:
https://brainly.com/question/28574719
#SPJ2
lol i’m so sorry for spamming im just dumb. y=?x+?
Answers
Answer:
y=1x-5
Step-by-step explanation:
1 point
Which of the following is the earliest
date?
O June 7, 1979
O July 17, 1997
O July 1, 1979
O June 17, 1997
O June 1, 1997
Answers
Answer:
June 7th, 1979
Step-by-step explanation:
1979 comes before 1997, so that eliminates those. Then June comes before July. So June 7th, 1979.
June 7, 1979, is the earliest date. Option A is correct.
How to represent the date?The recommended format for writing dates is YYYY-MM-DD, which stands for year, month, and day.
Since 1979 came before 1997, those are disregarded. June, therefore, precedes July. So, it's June 7, 1979.
The earliest date is June 7, 1979.
Hence option A is correct.
To learn more about the dates refer;
https://brainly.com/question/23156395
#SPJ2
Determine the constant of proportionality for the graph.
PLEASE HELP ME!!!!
Answers
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
On your recent question- you stated that when the x value was 10, the y value was 2. The graph started at the origin. To find the constant of proportionality, use the equation [tex]\frac{rise}{run}[/tex]. In this case, the "run" was 10, since it went +10 from 0. The "rise" was 2, since it went +2 from 0.
[tex]\frac{2}{10} = \frac{1}{5}[/tex] simplified.
Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time he swims. This week, he spent more than 6 hours training for the race. Which graph represents his possible training times this week?
A graph titled Dominick apostrophe s Training shows number of runs on the x-axis, from 0 to 10, and number of swims on the y-axis, from 0 to 5. A dashed straight line with a negative slope goes through (0, 4) and (8, 0). Everything to the right of the line is shaded.
A graph titled Dominick apostrophe s Training shows number of runs on the x-axis, from 0 to 10, and number of swims on the y-axis, from 0 to 5. A dashed straight line with a negative slope goes through (0, 4) and (8, 0). Everything to the left of the line is shaded.
A graph titled Dominick apostrophe s Training shows number of runs on the x-axis, from 0 to 5, and number of swims on the y-axis, from 0 to 10. A dashed straight line with a negative slope goes through (0, 8) and (4, 0). Everything to the right of the line is shaded.
A graph titled Dominick apostrophe s Training shows number of runs on the x-axis, from 0 to 5, and number of swims on the y-axis, from 0 to 10. A dashed straight line with a negative slope goes through (0, 8) and (4, 0). Everything to the left of the line is shaded.
Answers
Answer:
C.
Step-by-step explanation:
Answer:
it should be A.
Step-by-step explanation:
the person above me was incorrect, so i got 80%.
chemical formula for lithium bromide
Answers
Answer:
The molecular or chemical formula of Lithium Bromide is LiBr. Lithium Monobromide is synthesized by treating lithium carbonate (Li2CO3) with hydrobromic acid (HBr). The salt forms cubic crystals which are similar to sodium chloride.
Step-by-step explanation:
hope this helped:)
Answer:
lithium bromide is a chemical compound of lithium and bromine
Step-by-step explanation:
Br-Li+
Which expression can be used to find the price of a $400 telescope after a 32% markup? Select all that apply.
A. 400 • 0.32
B. 400 • 3.2
C. 400 • 1.32
D. 400 + 400(0.32)
E. 400 • 400(1.32)
Answers
Answer:
Expressions C and D correctly determine the markup price.
Step-by-step explanation:
A markup in mathematics is when an object's price is raised by a certain percentage. Therefore, because we are told that the telescope is originally $400 and is marked up by 32%, we can actually mathematically evaluate this.
When you markup a price, you multiply the original price by [tex]1+x[/tex], where x is the percentage at which the object is marked up. However, x needs to be in decimal form for it to work out.
[tex]\frac{32}{100} = \small\boxed{0.32}[/tex]
Therefore, with this new decimal, we can add 1 to it.
[tex]1 + 0.32=\small\boxed{1.32}[/tex]
Finally, we multiply this result by the original price.
[tex]1.32 \times 400=\small\boxed{528}[/tex]
Therefore, we can already confirm that Expression C is one way to find the markup price.
We can eliminate expression A because it did not use the formula [tex]1+x[/tex]. It only uses the decimal form of the percentage.We can eliminate expression B because the division to convert from the percentage form to the decimal form is flawed (the expression divided by 10 instead of 100) and also forgot to add 1 to the determined value.Now, we can test the math for expressions D and E to see if either of these will equal $528.
Expression D is basically saying to add 32% of 400 to the original price. This would work out because we marked up the original price by 32%. Therefore, we can confirm that Expression D is also an expression that can be used to determine the markup price.
[tex]400 + 400(0.32)\\400(0.32) = 128\\400 + 128 = \small\boxed{528}[/tex]
Finally, we also need to check expression E. This expression is saying to add the already marked up price to 400. This would not be correct.
[tex]400 \times 400(1.32)\\400(1.32) = 528\\400 \times 528 = \small\boxed{\$ 211,200}[/tex]
Therefore, it has been determined that Expression C & Expression D are both equations that will find a markup price.
A bus stops at the station near Kylie's house every 1 hours . Which expression could be used to find the number of times the bus stops at the station in 24 hours?
Answers
Answer:
H
Step-by-step explanation:
24 x 1 1/4
2/18 x 16
answer fast !!!!!!!!!!!!!!
Answers
12/6
6/3
Answer is 2 :/
If x = 0 and y < 0, where is the point (x, y) located?
Answers
NEED ASAP . Plz help
Answers
Please Help! 30 Points. BRAINLIEST FOR CORRECT ANSWER!
Answers
Answer:
c20
Step-by-step explanation:
Find an equation of the circle that has center (-1,6) and passes through (-6,1)
Answers
Answer:
(x + 1)² + (y - 6)² = 50
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius.
The radius is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 1, 6) and (x₂, y₂ ) = (- 6, 1)
r = [tex]\sqrt{(-6+1)^2+(1-6)^2}[/tex]
= [tex]\sqrt{(-5)^2+(-5)^2}[/tex]
= [tex]\sqrt{25+25}[/tex]
= [tex]\sqrt{50}[/tex]
(h, k ) = (- 1, 6 ), then
(x - (- 1))² + (y - 6)² = ([tex]\sqrt{50}[/tex] )² , that is
(x + 1)² + (y - 6)² = 50 ← equation of circle
Courtney wants to sell her grandfathers antique 1932 Ford. She begins to set her price by
looking at ads, and finds these prices for similar cars: $23,600, $18,000, $30,000, $17,000, and $21,000.
What is the mean price of those five cars?
Answers
Answer:
$21,920
Step-by-step explanation:
you have to add each number then divide by number of items.
Travis would like to buy some toys to donate to charity. The expression 9d + 2c +3t
represents the total that Travis spent on toy trains, c cars, and d dolls in dollars. How much
did each car cost?
*ANSWER FAST PLEASE*
Answers
Answer:
Step-by-step explanation:
D. $14
WHAT IS HELP PLEASE
6x2 -2x3 +x4 =?
DONT ANSWER TO GET QUICK POINTS
Answers
Answer:
i told you in the comment it equals 7
Step-by-step explanation:
I need hep with the range
Answers
Answer:
[-7, 6]
Step-by-step explanation:
The range is the y values that the equation/line covers.
The line's lowest point is -7 and the line's highest point is 6. The value is defined at both -7 and 10 since there is a closed circle in both locations- so we use brackets.
after scoring a touchdown the billies linked up for the kickoff . the kicker kicked the football 60 yards deep into the end zone. the hang time on the ball was 8.5 seconds . what was the average speed of the ball
Answers
Answer:
7 seconds i think let me know if its wrong
Step-by-step explanation:
Mrs. Coughlin bought 2.25 pounds of turkey at $4.96 per pound and 0.75 pound of provolone cheese at $5.20 per pound. If Mrs. Coughlin gave the cashier $20, how much change will she receive?
Answers
2.25x4.96=$11.16
.75x5.20=$3.90
11.16+3.90=15.06
20-15.06=4.94
=====================================================
Work Shown:
She paid 2.25*4.96 = 11.16 for the turkey
She paid 0.75*5.20 = 3.90 for the cheese
In total, the two amounts add to 11.16+3.90 = 15.06
The amount of change she'll get is 20 - 15.06 = 4.94 dollars
To calculate change quickly in your head, notice how the jump from 6 cents to 100 cents is 100-6 = 94 cents. So that moves us from $15.06 to $16, and the rest needed is $4. So that's how we get the overall change to be $4.94.
Identify the missing sides.
45°
20
:: 10
:: 20
1/2
:: 202
10/3
:: 20/3
Answers
Answer:
see explanation
Step-by-step explanation:
Use the sine ratio in the right triangle to find the hypotenuse h, and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{20}{h}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
h = 20[tex]\sqrt{2}[/tex]
-----------------------------------------------------------------------------
Use the tangent ratio to find the horizontal leg x and tan45° = 1 , then
tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{20}{x}[/tex] = 1 ( multiply both sides by x )
x = 20
On a family vacation, Amy's dad drove the car at a constant speed and traveled 585 miles in 13 hours. At this rate, how long would it have taken the family to travel 810 miles?
Answers
One night a theater sold 540 movie tickets. An adult's ticket costs $8 and a child's ticket costs $5. In total, the theater earned $2880. How many adult tickets and child tickets were sold?
Answers
Answer:
are there any answer choices
Answer:
3433 tickets
ithink
Step-by-step explanation:
3. What problems would you encounter if the ladder were too short or too long? (1 point)
Answers
If the ladder was too short you wouldn’t be able to get to the place you need the ladder for. If the ladder was too long you have a high chance of falling and being too high to reach where you’re trying to go. Hope this helps :p
The ladder were too short or too long is p
If the ladder was too short you wouldn’t be able to get to the place you need the ladder for.
What is the right angle triangle?A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.
If the ladder was too long you have a high chance of falling and being too high to reach where you’re trying to go.
Therefore the answer is :p
To learn more about right angle triangle visit:
https://brainly.com/question/19563749
#SPJ5
The point plotted on the number line is What is the approximate value of x? 04 O 9 O 17 O 20
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \sqrt{17} ≈4.1[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is Option Three .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
C
Step-by-step explanation:
What is the gcf of 51 and 3
Answers
Answer:
3
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF).
The factors of 51: 1, 3, 17 and 51.The factors of 3: 1,3So the greatest number of both is 3
Hope this helps
if I burned 225 calories in 45 minutes how much will I burn in one minute
Answers
Answer:
5 calories per minute
Step-by-step explanation:
225÷45=5
What is the equation of this graphed line?
Enter your answer in slope-intercept form.
Please answer quickly, whoever answers correctly I will give Brainliest, thank you.
Answers
Points: (-4,-6), (2,6)
(6+6)/(2+6) = 12/8 = 3/2
Y = 3/2x +b
-6 = 3/2(-4) + b
-6 = -6 + b, b = 0
Equation: y = 3/2x
a hiker walks 6km uphill along a trail, then returns downhill along the same trail. the hikers average speed is 2km/h greater on the downhill journey. write a simplified rational expression for the total time spent hiking un terms of average speed uphill, v km/h
Answers
Answer:
i
Step-by-step explanation:
he went slower go down because you try sliding gong down
what the slope of(12,7) (5,9)
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]slope = \frac{9 - 7}{5 - 12} \\ [/tex]
[tex]slope = \frac{2}{ - 7} \\ [/tex]
[tex]slope = - \frac{2}{7} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
[tex]\boxed {\boxed {\sf m= -\frac{2}{7}}}[/tex]
Step-by-step explanation:
The slope of a line can be found using the following formula:
[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]
Where (x₁,y₁) and (x₂,y₂) are the points on the line.
We are given the points (12,7) and (5,9). Therefore:
[tex]x_1=12\\y_1=7\\\\x_2=5 \\y_2=9[/tex]
Substitute the values into the formula.
[tex]m=\frac{9-7}{5-12}[/tex]
Solve the numerator.
Subtract 7 from 9 9-7=2[tex]m=\frac{2}{5-12}[/tex]
Solve the denominator.
Subtract 12 from 5 5-12= -7[tex]m=\frac{2}{-7}[/tex]
This fraction cannot be reduced further, so it is the answer.
The slope of the line is -2/7
n(A)=10
n(B) = 12
n(AUB) = ?
Answers
Answer:
n(AUB) = 33
Step-by-step explanation:
U is the 21'st letter of the alphabet so
9 + 1 + 2 + 21 =33
n(AUB) = 33