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.

Answer:

1 1/2

Step-by-step explanation:

3/2= 1 1/2

Answer: No, x+3 is not a factor of 2x^2-2x-12

========================================================

Explanation:

Let p(x) = 2x^2 - 2x - 12

If we divide p(x) over (x-k), then the remainder is p(k). I'm using the remainder theorem. A special case of the remainder theorem is that if p(k) = 0, then x-k is a factor of p(x).

Compare x+3 = x-(-3) to x-k to find that k = -3.

Plug x = -3 into the function

p(x) = 2x^2 - 2x - 12

p(-3) = 2(-3)^2 - 2(-3) - 12

p(-3) = 12

We don't get 0 as a result so x+3 is not a factor of p(x) = 2x^2 - 2x - 12

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

Let's see what happens when we factor p(x)

2x^2 - 2x - 12

2(x^2 - x - 6)

2(x - 3)(x + 2)

The factors here are 2, x-3 and x+2

Answer:

b. The total sum of the money was $330

Step-by-step explanation:

#b

∵ A sum of money is divided among John, Paul, and Robert

∵ The ratio of the shares of John, Paul, and Robert is 2: 4: 5

→ Multiply the ratio of each share by x

∴ The share of John = 2x

∴ The share of Paul = 4x

∴ The share of Robert = 5x

→ Find their sum

∴ The sum of the money = 2x + 4x + 5x = 11x

∵ The sum of the money is divided equally among them

→ That means dividing the sum by 3 to find the share of every one

∵ The sum of the money = 11x

∴ The share of every one = [tex]\frac{11x}{3}[/tex] = [tex]\frac{11}{3}[/tex]x

∴ The share of John is larger by $50

→ That means the difference between his shares is 50

∵ [tex]\frac{11}{3}[/tex]x - 2x = 50

∴ [tex]\frac{5}{3}[/tex]x = 50

→ Divide both sides by [tex]\frac{5}{3}[/tex]

∴ x = 30

→ Substitute it in the sum of the money to find it

∵ The sum of the money = 11(30)

∴ The sum of the money = $330

∴ The total sum of the money is $330

Answer:

y= 4x-9

Step-by-step explanation:

Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf 90+52+y=180[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 142+y=180 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=180-42 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=38°[/tex]

Answer:

m∠DEF = 148°

Step-by-step explanation:

The total sum of angles inside a triangle is 180°

m∠FDE + m∠EFD + m∠DEF = 180°

We can also see that because two sides are congruent, their angles are also congruent, so we can solve for x

m∠FDE = m∠EFD

2x + 8 = 3x + 4; subtract 2x from both sides

8 = x + 4; subtract 4 from both sides

x = 4; now we can substitute into equations

m∠FDE = m∠EFD;

2(4) + 8 = 3(4) + 4

8 + 8 = 12 + 4; 16=16; therefore = m∠FDE = m∠EFD = 16

To solve for m∠DEF

m∠FDE + m∠EFD + m∠DEF = 180°

16 + 16 + m∠DEF = 180

m∠DEF = 148°

Answer: 64

Step-by-step explanation:

Answer:

y = [tex]\frac{19x+3}{24}[/tex]

Step-by-step explanation:

Given

24(x - y) = 5x - 3 ← distribute parenthesis on left side

24x - 24y = 5x - 3 ( subtract 24x from both sides )

- 24y = - 19x - 3 ( multiply through by - 1 to clear the leading negative )

24y = 19x + 3 ( divide both sides by 24 )

y = [tex]\frac{19x+3}{24}[/tex]

Answer:

assuming you want the answer in ounces still, its 63 ounces

Step-by-step explanation:

total = $3 + 0.20x

15.60 = 3 + 0.20x

12.60 = 0.20x

63 = x

Answer:

63 ounces

Step-by-step explanation:

0.20x+3= 15.60

         -3     -3    

0.20x= 12.60

0.20     0.20

x= 63

Answer:

y=1/4x+5

Step-by-step explanation:

Answer:

$25

Step-by-step explanation:

If it was $25.59 then we would round up

But it isn't

So the answer is $25

Answer:

$26

Step-by-step explanation:

25.49,

then 9 will turn to plus 1

making 4 turn into 5

ten making 25 turn into 26

Answer:

6x + 5y + 13 = 0.

Step-by-step explanation:

y = 5/6x + 7/6

Gradient = 5/6

Since the line is perpendicular to y = 5/6x + 7/6

then its gradient is -6/5.

Hence its equation is: point (-8,7).

y - 7 = -6/5(x -(-8))

multiplying through by 5 we get;

5y - 35 = -6(x + 8)

5y - 35 = -6x - 48

6x + 5y + 13 = 0

Answer:

The first expression's answer is -1.33. The second one is 2.

Answer: The answer is 25/33

Step-by-step explanation:

Step-by-step explanation:

y=-6

Answer:

Each property is mentioned with the corresponding expression.

Step-by-step explanation:

Writing the property in front of every expression:

1. Additive Identity: 11+0 = 11

2. Associative Property of Multiplication: x*(y*z) = (x*y)*z

3. Additive Identity: 8+(-8) = 0

4. Commutative property of Addition: 14+20=20+14

5. Multiplicative Inverse: 2*1/2 = 1

6. Multiplicative Identity : 22*1 = 22

7. Associative Property of Addition: (19+12)+8=19+(12+8)

8. Commutative Property of Multiplication: a*9=9*a

9. Distributive Property: 7(4+11) = 7(4)+7(11)

Answer:

B. 13

Step-by-step explanation:

Time taken to earn $385 = 35 hours

Time taken to earn $1 = [tex] \sf \dfrac{35}{385} [/tex] hours

[tex] \sf = \dfrac{1}{11} \ hours [/tex]

Time taken to earn $143 = [tex] \sf \dfrac{1}{11} \times 143 [/tex] hours

[tex] \sf = 13 \ hours [/tex]

Answer:

2

Step-by-step explanation:

[tex]4^{2} =16[/tex]

[tex]8*2=16[/tex]

[tex]x=2[/tex]

Answer:

Step-by-step explanation:

you add both $275.00 and $250.00 ($525.00) then and $3.00 and $3.50 ($6.50) then divide $525.00 by $6.50 and then you answer would be $88.00

so c = $88.00

Answer:

3.50c + 250.00 = 3.00c + 275.00

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by  100 .

Answer:

yes it is very easy

Step-by-step explanation:

Answer:

Yeah l ready did.

Me and you brainlist friends

Step-by-step explanation:

Bisect means that the angles are split equally.

RTV would be half of RTS

RTV = 1/2(RTS)

16x-6 = 1/2(26x+18)

Simplify:

16x - 6 = 13x +9

Subtract 13x from both sides:

3x - 6 = 9

Add 6 to both sides:

3x = 15

Divide both sides by 3:

x = 5

Now you have x, replace x in the equation for RTV:

RTV = 16x -6 = 16(5) -6 = 80 - 6 = 74

RTV = 74 degrees.

Answer:

40 feets

Step-by-step explanation:

Given that :

Observer's height = 5 feets

Observer's distance from the mirror = 3 feets

Distance of tree away from the mirror = 24 feets

To obtain the height of tree:

Observer's distance (Od) / tree distance (Td) = Observer's height(Oh) / tree height (Th)

Od / Td = Oh / Th

3 / 24 = 5 / Th

3 * Th = 24 * 5

Th = 120 / 3

Th = 40 feets

Hence, the height of tree is 40 feets

Answer:

12003612721

Step-by-step explanation:

im pretty sure you multiply it by its self 4 times

Answer:I'm sorry I can't really see what it says but I'm very good at math if you need help with anything else please let me know

Step-by-step explanation: I tried

Answer:

20

Step-by-step explanation:

Answer:

16% of the students did not pass the test.

Step-by-step explanation:

Since 25 is 1/4 of 100, multiply it by 4 to equal 100.

Now multiply the percentage passed by 4. This equals 84.

84 out of 100 = 84%

So, the rest of the students(the ones who did not pass) is 16% of the class.