Consider the following recurrence relation T(n) = 2T(n/2) + n lg n Can you solve that recurrence relation using the Master theorem? Justify your answer. Use the recurrence tree expansion method to find a tight asymptotic bound to the recurrence relation. For simplicity, assume that n is always a power of two and T(1) = c.

Answer:

z+5 z+2 Z i think

Step-by-step explanation:

the lenght is longer to shorter

Answer:

angle # > angle * > angle $

Step-by-step explanation:

Since z + 5 > z+ 1 > z

So, angle # > angle * > angle $ (Angle opposite to greater side is greater and opposite to smallest side is smallest)

Step-by-step explanation:

Write multiplication and division equations to model and solve the problem. Use m for the unknown

Answer:

Natalie bought 500 apples at $0.40 each, then she pays $0.40 500 times, this means that the total cost of the 500 apples is:

Cost = 500*$0.40 = $200

Now she threw away n apples from the 500 apples, then the number of apples that she has now is:

apples = 500 - n

And she sells the remaining apples for $0.70 each.

a) The amount that she gets by selling the apples is:

Revenue = (500 - n)*$0.70

b) We know that she did not make a loss, then the revenue must be larger than the cost, this means that:

cost ≤ revenue

$200 ≤ (500 - n)*$0.70

c) We need to solve the inequality for n.

$200 ≤ (500 - n)*$0.70

$200/$0.70 ≤ (500 - n)

285.7  ≤ 500 - n

n + 285.7 ≤ 500

n ≤ 500 - 285.7

n ≤ 214.3

Then the maximum value of n must be equal or smaller than 214.3

And n is a whole number, then we can conclude that the maximum number of rotten apples can be 214.

Answer:

2πx - 4

Step-by-step explanation:

C = 2πr

r = (x-2)

C = 2π(x-2)

C = 2πx - 4

Answer:

9 and -12

Step-by-step explanation:

Angle (p+7)° and angle (3p+1)° are a linear pair so their sum will be equal to 180°.

Which means :

[tex] =\tt 3p + 1 + p + 7 = 180[/tex]

Let us solve that equation to find the value of p and the two angles :

[tex] =\tt 3p + 1 + p + 7 = 180[/tex]

[tex] =\tt 3p + p + 1 + 7 = 180[/tex]

[tex] =\tt 4p + 8 = 180[/tex]

[tex] = \tt4p = 180 - 8[/tex]

[tex] = \tt4p = 172[/tex]

[tex] =\tt p = \frac{172}{4} [/tex]

[tex]\hookrightarrow \tt \color{plum}p = 43[/tex]

Thus, value of p = 43

Measure of angle (p+7)° :

[tex] =\tt 43 + 7[/tex]

[tex]\tt\color{plum}angle \: (p + 7)° =\tt 50°[/tex]

Measure of angle (3p+1)° :

[tex] =\tt 43 \times 3 + 1[/tex]

[tex] = \tt129 + 1[/tex]

[tex]\tt\color{plum}angle \: (3p + 1)° = 130°[/tex]

Thus, the measure of the larger angle = 130°

Therefore, the correct option is (a) 130

Answer:The value of the 6 in 0.96 is 1/10 the value of the 6 in 93.601. This is because the 6 in 0.9 compared to the 6 in 93.601 which is in the tenths place.

Step-by-step explanation:The value of the 6 in 0.96 is 1/10 the value of the 6 in 93.601. This is because the 6 in 0.96 is in the hundredths place, compared to the 6 in 93.601 which is in the tenths place.

Answer:

The value of the 6 in 0.96 is 110 the value of the 6 in 93.601

Step-by-step explanation:

Answer:

-1x(13v+9z+2)

Step-by-step explanation: try solve this :)

Answer

-17v-9z+2

Step-by-step explanation:

First collect the like terms

-4v-4v-9v-9z+2

-17v-9z+2

Since we can no longer add up due to they are unlike term. Therefore our answer is -17v-9z+2

Answer:

Hope this helps!

Answer:

-20

Step-by-step explanation:

Step-by-step explanation:

-12=-0.6k

divide both sides by -0.6

k=20

lmk if this is right

Given:

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.

To find:

The all possible values of ∠X, to the nearest degree.

Solution:

Law of Sines:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

For ΔWXY,

[tex]\dfrac{w}{\sin W}=\dfrac{x}{\sin X}=\dfrac{y}{\sin Y}[/tex]

Now,

[tex]\dfrac{w}{\sin W}=\dfrac{x}{\sin X}[/tex]

[tex]\dfrac{900}{\sin (157^\circ)}=\dfrac{680}{\sin X}[/tex]

[tex]900\sin X=680\sin (157^\circ)[/tex]

[tex]\sin X=\dfrac{680}{900}\sin (157^\circ)[/tex]

[tex]\sin X=0.295219[/tex]

[tex]X=\sin^{-1}(0.295219)[/tex]

[tex]X=17.17067[/tex]

[tex]X\approx 17[/tex]

Therefore, the value of ∠X is 17 degrees.

Answer:

9 tomat plant cost= 33.12

each tomato plant cost = 33.12 / 9

answer = 3.68 dalours

Answer:

The answer is 12.

~Hoped this helped~

Answer:

please mark me as brainliest answer

Step-by-step explanation:

The sum of two numbers is 17 and their difference is 5. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 17. In other words, x plus y equals 17 and can be written as equation A:

x + y = 17

The difference between x and y is 5. In other words, x minus y equals 5 and can be written as equation B:

x - y = 5

Now solve equation B for x to get the revised equation B:

x - y = 5

x = 5 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 17

5 + y + y = 17

5 + 2y = 17

2y = 12

y = 6

Now we know y is 6. Which means that we can substitute y for 6 in equation A and solve for x:

x + y = 17

x + 6 = 17

X = 11

Summary: The sum of two numbers is 17 and their difference is 5. What are the two numbers? Answer: 11 and 6 as proven here:

Sum: 11 + 6 = 17

Difference: 11 - 6 = 5

Answer:

< 40, 28, 72 >

Step-by-step explanation:

Given

y = < 2, 6, 8 > and z = < 7, - 2, 6 > , then

6y + 4z

= 6 < 2, 6, 8 > + 4 < 7, - 2, 6 >

Multiply each component by the scalar quantity

= < 6(2), 6(6), 6(8) > + < 4(7), 4(- 2), 4(6) >

= < 12, 36, 48 > + < 28, - 8, 24 >

Add corresponding components

= < 12 + 28, 36 - 8, 48 + 24 >

= < 40, 28, 72 >

Answer:

V=140

Step-by-step explanation:

5*4=20

20*7=140

Answer:

It will be C

Step-by-step explanation:

This is because ecosystems worh high biodiversity tend to be more stable

Hope this Helped

Answer:

The awnser is c i took the test ( a high amount of bio deversety)

Step-by-step explanation:

Answer:

A,B,C,E

Step-by-step explanation:

for a everything is multiplied by 10

for c everything is divided by 6

for b everything is divided by 12

e is the only other one that fits

for a everything is multiplied by 10

for c everything is divided by 6

for b everything is divided by 12

e is the only other one that fits

ABCE is the answer to the question

Answer: Multiply 7.5% by the price after subtracting the coupon's value.

Step-by-step explanation:

Let's assume that the cost of the shirts is x. So the coupon would subtract y from x so that's x-y which gives us z. Then to find z, on a calculator just put in 7.5% x z. I used variables since I don't know the value of the coupon or the original price of the shirts.

Answer:

84

Step-by-step explanation:

Answer:

It will take them about 5 hours to do the cleaning.

Step-by-step explanation:

Since all three of them are going to do it together, you must find the average amount of time between the three of them. To do this you add all of their cleaning times, 6, 5 and 4, and them divide by the amount of people there. 6+5+4= 15, 15/3=5.

Answer:

28%

80%

20

Step-by-step explanation:

hope this helps

Answer:

Its2 for every 3

Step-by-step explanation:

Answer:

93 cm

Step-by-step explanation:

Given:

Total solution : 1000mL

Pure acetic acid = 26mL

To find:

The percent concentration of given solution.

Solution:

We know that,

[tex]\text{Percent concentration}=\dfrac{\text{Pure acetic acid}}{\text{Total solution}}\times 100[/tex]

Putting the given values, we get

[tex]\text{Percent concentration}=\dfrac{26}{1000}\times 100[/tex]

[tex]\text{Percent concentration}=\dfrac{26}{10}[/tex]

[tex]\text{Percent concentration}=2.6[/tex]

Therefore, the percent concentration of this solution is 2.6%.

Answer:

x = - 2 is not a zero

Step-by-step explanation:

If x = - 2 is a zero of the polynomial then f(- 2) = 0

f(x) = 3x² +4x + 32

f(- 2) = 3(- 2)² + 4(- 2) + 32 = 3(4) - 8 + 32 = 12 - 8 + 32 = 36

Since f(- 2) ≠ 0 , then x = - 2 is not a zero of the polynomial

Answer:

I believe it's A 2¹²

Step-by-step explanation:

The answer lies in the question itself.

In the equation, we have

3x - y = 12.

This means 3x = 12 + y.

We have to find 8^x/2^y.

8 can be written as 2^3. Therefore, 8^x = 2^3x.

But 3x = 12 + y, hence can be replaced.

Now we have, in the fraction, 2^(12 + y)/2^y.

This can be written as 2^(12 + y - y) = 2^12.