do the same thing for the recurrence t(n) = 3t(n/2) o(n). what is the general kth term in this case? and what value of k should be plugged in to get the answer?

The series to 10 term is

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512

An equation that represents a sequence based on a rule is called a recurrence relation.

Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.

The term is predicted by multiplying the preceding term by 2

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Answer:

3/4

Step-by-step explanation:

Make a common denominator and multiply the many times the denominator had to get to the common denominator to the numerator.

A larger sample size will result in a more reliable estimate of the population mean, lowering the variability and resulting in a higher F-ratio, which will result in the null hypothesis being rejected. As a result, both options A and B are correct.

Here we want to find,

the likelihood of rejecting the null hypothesis using anova is increased by which.

To increase the likelihood of rejecting the null hypothesis using ANOVA, a decrease in SSWITHIN and an increase in sample sizes are needed.

In statistics, analysis of variance (ANOVA) is a technique for comparing the means of two or more samples. ANOVA is an extension of the t-test and z-test methods, which can be used to compare only two means.

ANOVA compares the variation within the groups to the variation between the groups to see whether or not there is a statistically significant difference between them.

The null hypothesis (\(H_0\)) in ANOVA is that the means of all groups are equal, while the alternative hypothesis (Ha) is that at least one group's mean is different from the others.

In ANOVA, a low value of SSWITHIN is desirable because it reflects that the data points are clustered around their respective means.

As a result, ANOVA will result in a higher F-ratio, which means that the null hypothesis will be rejected.

So, both a and b options are correct.

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By dilation, the image of the vertex M of the quadrilateral is M'(x, y) = (6, 5).

In this problem we find the representation of a quadrilateral whose image by dilation must be found. The dilation formula is introduced below:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]

Where:

If we know that O(x, y) = (4, 6), k = 1 / 3 and M(x, y) = (10, 9), then image of point M is:

M'(x, y) = (4, 6) + (1 / 3) · [(10, 9) - (4, 6)]

M'(x, y) = (4, 6) + (1 / 3) · (6, 3)

M'(x, y) = (4, 6) + (2, 1)

M'(x, y) = (6, 5)

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Answer:

Step-by-step explanation:

9.23

If you catch 3.33 frogs. Then the number of the frogs that were caught by your friend will be 16.67.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

You and your friend got 20 frogs and your friend caught 5 times more.

Let you catch x frogs. Then the number of the frogs that were caught by your friend will be 5x.

x + 5x = 20

     6x = 20

       x = 3.33

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Let you caught x and friend caught 5x

Now

5x=16.67

Answer:

$1530 = 45% commission

Step-by-step explanation:

First, jot down the important facts:

• first $1000 = 10% comm.

• next $2000 = 15% comm.

• total more than $3000 = 20% comm.

• total comm. = $3400

Then, go in order with your jotted facts to withdraw the total commission amount. Here's what I mean:

 $3400   ← total is more than $3000 = +20% comm.

- $1000   ← the first $1000 = +10% comm.

 $2400

- $2000   ← the next $2000 = +15% comm.

   $400

Then, add together the commission percentages:

20% + 10% + 15% = 45% comm.

Convert the percentage to a decimal:

45% × 100 = 0.45

And multiply it with the total amount to find the commission amount:

$3400 × 0.45 = $1530

Answer:

 x = -4

y = 4.67

Step-by-step explanation:

(A) The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R'  is 1/2

(B) Coordinates of Δ P"Q"R"

P" (-4,0)

Q"(-3,1)

R"(1,-2)

(C) Triangles PQR and P"Q"R" are not congruent.

Given

ΔPQR is transformed into ΔP'Q'R'

Coordinates of P, Q, R are

P (8,0),

Q(6,2)

R(-2,-4)

Coordinates of P'Q'R' are

P′(4, 0)

Q′(3, 1)

R′(−1, −2)

(A) By Distance formula we can find the distance between P Q and P'Q'

Distance formula = \(D = \sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

Where D = Distance between two points

from distance formula we can write that

PQ = \(\sqrt{(6-8)^{2} +(2-0)^{2} } = \sqrt{4+4} =2 \sqrt{2}\)

Similarly

P'Q'= √2

PQ /P'Q' = 2

hence the scale factor of dilation is 1/2 (Compression)

(B )The Coordinates of Reflection about y axis can be written for a point

(x,y) as (-x,y)

So the Coordinated of Δ P"Q"R" can be written as

P" (-4,0)

Q"(-3,1)

R"(1,-2)

(C) ΔPQR  and ΔP"Q"R" are similar triangles but they are not  congruent because their sides  are not equal in size.

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Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Answer:

79

Step-by-step explanation:

2(2) - 4(2(-1)^2 + 5(-1)) + 3(-1)^2 + 8(2)^3 + 4(-1)

4 - 4 (2 - 5) + 3 + 64 - 4

4 - 4(-3) + 3 + 64 - 4

4 + 12 + 3 + 64 - 4

16 + 3 + 64 - 4

19 + 64 - 4

83 - 4

79

hope this  helps! <3

Answer:

Step-by-step explanation

Divide 35.75 and 5 and you get 7.15 an hour .

To solve the given equation using the standard trial solution with quantum number, we substitute A exp(iB) for the wavefunction in the time-independent Schrödinger equation:

-ℏ²/(2m) (d²/dx²)[A exp(iB)] + V(x) A exp(iB) = E A exp(iB)

where m is the mass of the particle, V(x) is the potential energy function, and E is the total energy of the particle.

Simplifying this equation, we get:

-A exp(iB) ℏ²/(2m) [(d²/dx²) + 2imB(dx/dx) - B²] + V(x) A exp(iB) = E A exp(iB)

Dividing both sides by A exp(iB) and simplifying further, we get:

-ℏ²/(2m) (d²/dx²) + V(x) = E

Since the potential energy function V(x) is not specified in the problem, we cannot find the allowed energies and angular momenta. However, we can solve for the energy E in terms of the given variables:

E = -ℏ²/(2m) (d²/dx²) + V(x)

We can also express the allowed energies in terms of the quantum number n, which represents the energy level of the particle:

E_n = -ℏ²/(2m) (π²n²/a²) + V(x)

where a is a constant that represents the size of the system.

The allowed angular momenta can be expressed as:

L = ℏ√(l(l+1))

where l is the orbital angular momentum quantum number. The maximum value of l for a given energy level n is n-1, so the total angular momentum quantum number can be expressed as:

J = l + s

where s is the spin quantum number.

Thus, we can solve for the energy in terms of the quantum number n:

E = - \((ℏ^2\pi ^2n^2)/(2ma^2)\)

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To find the probability that the treatment will be successful giving both drugs to the patient, we can multiply the individual probabilities of success for each drug. the probability that only one of the two drugs will have a successful treatment is 0.37 (rounded to 2 decimal places).

P(A and B) = P(A) * P(B) = 0.44 * 0.29

P(A and B) = 0.1276

Therefore, the probability that the treatment will be successful giving both drugs to the patient is 0.13 (rounded to 2 decimal places).

To find the probability that only one of the two drugs will have a successful treatment, we need to calculate the probability of success for each drug individually and then subtract the probability that both drugs are successful.

P(Only one drug successful) = P(A) * (1 - P(B)) + (1 - P(A)) * P(B)

P(Only one drug successful) = 0.44 * (1 - 0.29) + (1 - 0.44) * 0.29

P(Only one drug successful) = 0.3652.

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(a) We have shown that there exists an element b ∈ B that is an upper bound for A.

(b) The statement in part (a) is not always the case if we only assume sup A ≤ sup B.

(a) If sup A < sup B, show that there exists an element b ∈ B that is an upper bound for A.

Proof:
1. By definition, sup A is the least upper bound for set A, and sup B is the least upper bound for set B.
2. Since sup A < sup B, there must be a value between sup A and sup B.
3. Let's call this value x, where sup A < x < sup B.
4. Now, since x < sup B and sup B is the least upper bound of set B, there must be an element b ∈ B such that b > x (otherwise, x would be the least upper bound for B, which contradicts the definition of sup B).
5. Since x > sup A and b > x, it follows that b > sup A.
6. As sup A is an upper bound for A, it implies that b is also an upper bound for A (b > sup A ≥ every element in A).

Thus, we have shown that there exists an element b ∈ B that is an upper bound for A.

(b) Give an example to show that this is not always the case if we only assume sup A ≤ sup B.

Example:
Let A = {1, 2, 3} and B = {3, 4, 5}.
Here, sup A = 3 and sup B = 5. We can see that sup A ≤ sup B, but there is no element b ∈ B that is an upper bound for A, as the smallest element in B (3) is equal to the largest element in A, but not greater than it.

This example shows that the statement in part (a) is not always the case if we only assume sup A ≤ sup B.

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Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

Answer:

Part A: Both functions' slopes increase at intervals of four in a positive manner, so they will rise to the right.

Part B: g(x) has a greater y intercept as it is y=3 and f(x) is y=-1

Step-by-step explanation:

Answer:

x + 7

Step-by-step explanation:

1+7=8

2+7+9

so on

Answer:

66 ways in the triple rooms, 28 ways in the double rooms

Step-by-step explanation:

In total: 8 people;

There are 2 triple rooms, so 3 people can live in one triple room:

In the first triple room:

8×7×6 = 336 / 3×2×1 = 56 ways (we have to divide the number of ways by the factorial, because the order of people doesn't matter)

In the second triple room:

5×4×3 = 60 / 3×2×1 = 10 ways (since we can't choose the same people from the first triple room)

In total: 56+10 = 66 ways

Now, double rooms:

Ir the first double room:

8×7 = 56 / 2×1 = 28 ways

In the second double room:

6×5 = 30 / 2×1 = 15 ways

In total: 28+15 = 43 ways

I don't know if I got this right, though...

thw correct answer is b

this is cuz she is running miles

What percent of 150 is 90? ANS ________ %

In this problem

150 represent 100%

so

Applying proportion

Find out what percentage represent 90

so

100/150=x/90

solve for x

x=(100/150)*90

x=60%

Answer:

y = - \(\frac{1}{2}\) x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 4 ← is in slope- intercept form

with slope m = 2

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{2}\) , then

y = - \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute (4, - 1 ) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

y = - \(\frac{1}{2}\) x + 1 ← equation of perpendicular line

Answer:

50 of 300 times

Step-by-step explanation:

The approximate number of gallons that are equal to 48,000cm³ is

10.5 Gallons

10.5 Gallons are equal to 48000 cm³ if  1 litre is approximately 1.75 pints, 1 gallon= 8 pints,

1000  cm³    =  1  Litre

48000 cm³  = 48 litre

1 litre is approximately 1.75 pints

=> 48 litre is approximately = 48 * 1.75 pints

= 84 Pints

8 pints  = 1  Gallon

=> 1 pint = 1/8 Gallon

=> 84 Pints = 84/8  Gallons=

= 10.5 Gallons

So, 10.5 Gallons are equal to 48000 cm³

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Decimal- 0.75

Percentage- 75%

Answer:

75% and 0.75

Step-by-step explanation:

Answer:

1 - 7,4

The second one is a bit unclear to me.

If it is linear, graph it with a slope of 1 and a y-intercept of -7.

If it is quadratic,

2 - \(\sqrt{7}\),\(\sqrt{-7}\)

Step-by-step explanation:

Not exactly sure what you mean, but I'm going to assume it is a quadratic equation.

I used the quadratic formula for each of these problems.

(-b±\(\sqrt{b^2-4ac}\)) /2a