a.
The expression V18+ V8 is equivalent to
572
b. 1072
2V9
d. 26
c.
b

Answer:

go to Brainly for the answer

Step-by-step explanation:

Solving recurrence relations involves finding a closed-form expression or formula for the terms of a sequence based on their previous terms. Recurrence relations are mathematical equations that define the relationship between a term and one or more previous terms in a sequence.

a)Using the substitution method to find the precise function of n in closed form for the recurrence relation: T(n)=2T(n/3)+n²T(n) = 2T(n/3) + n²T(n/9) + n²= 2[2T(n/9) + (n/3)²] + n²= 4T(n/9) + 2n²/9 + n²= 4[2T(n/27) + (n/9)²] + 2n²/9 + n²= 8T(n/27) + 2n²/27 + 2n²/9 + n²= 8[2T(n/81) + (n/27)²] + 2n²/27 + 2n²/9 + n²= 16T(n/81) + 2n²/81 + 2n²/27 + 2n²/9 + n²= ...The pattern for this recurrence relation is a = 2, b = 3, f(n) = n²T(n/9). Using the substitution method, we have:T(n) = Θ(f(n))= Θ(n²log₃n)So the precise function of n in closed form is Θ(n²log₃n).

b) Using the substitution method to find the precise function of n in closed form for the recurrence relation T(n)=4T(n/2)+n, T(1)=1.T(n) = 4T(n/2) + nT(n/2) = 4T(n/4) + nT(n/4) = 4T(n/8) + n + nT(n/8) = 4T(n/16) + n + n + nT(n/16) = 4T(n/32) + n + n + n + nT(n/32) = ...T(n/2^k) + n * (k-1)The base case is T(1) = 1. We can solve for k using n/2^k = 1:k = log₂nWe can then substitute k into the equation: T(n) = 4T(n/2^log₂n) + n * (log₂n - 1)T(n) = 4T(1) + n * (log₂n - 1)T(n) = 4 + nlog₂n - nTherefore, the precise function of n in closed form is T(n) = Θ(nlog₂n).

c) Using the substitution method to find the precise function of n in closed form for the recurrence relation T(n)= 2T(n/2)+1, T(1)=1.T(n) = 2T(n/2) + 1T(n/2) = 2T(n/4) + 1 + 2T(n/4) + 1T(n/4) = 2T(n/8) + 1 + 2T(n/8) + 1 + 2T(n/8) + 1 + 2T(n/8) + 1T(n/8) = 2T(n/16) + 1 + ...T(n/2^k) + kThe base case is T(1) = 1. We can solve for k using n/2^k = 1:k = log₂nWe can then substitute k into the equation: T(n) = 2T(n/2^log₂n) + log₂nT(n) = 2T(1) + log₂nT(n) = 1 + log₂nTherefore, the precise function of n in closed form is T(n) = Θ(log₂n).

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Answer:

For every 7 books Ethan read, Sadie read 3 books.

Step-by-step explanation:

For every 21 books Ethan read, Sadie read 9 books.

Unsimplified Ratio = 21:9

21 and 9 have a common factor of 3.

Because 21 and 9 share a common factor we can simplify the ratio

21 / 3 = 7

9 / 3 = 3

The new ratio is 7 to 3

So for every 7 books Ethan read, Sadie read 3 books.

The supplement of 89° is the angle that when added to 89° forms a straight angle (180° ).

Answer:

91 degrees

Step-by-step explanation:

Supplementary means 180 degrees

Subtract 89 from 180 and you get 91

Answer:

length of base = 17 cm

Step-by-step explanation:

Area of a triangle A = 1/2 bh where b = base h = height

We are given
b = 2h - 7

A = 102

or
2h = b + 7

h = (b+7) /2

use this in the equation for A

1/2 (b) (b+7)/2 = 102

1/4 x b(b+7) = 102

b(b+7) = 4 x 102

b² + 7 b = 408

b² + 7b - 408 = 0

This is a quadratic equation which can be solved by factoring or using the quadratic formula

We can factor b² + 7b - 408 as follows

Check if b = 17 is correct

With b = 17

h = (b+7) /2

= (17 + 7)/2

= 24/2

= 12

Therefore A = 1/2 x 17 x 12

= 17 x 6

= 102

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Coterminal angles are those whose ultimate positions are identical but whose number of full revolutions varies.

No, coterminal angles have the same angle measure. Two angles are coterminal if they have the same initial side and the same terminal side, meaning that they differ by an integer multiple of 360 degrees (or 2π radians) or by a multiple of 360 degrees plus or minus any number of full rotations (i.e., adding or subtracting 360 degrees or 2π radians any number of times).

For example, 30 degrees and 390 degrees are coterminal angles because 390 - 30 = 360, which is a multiple of 360 degrees. Similarly, 45 degrees and 405 degrees are coterminal because 405 - 45 = 360

However, two angles that differ by a non-integer multiple of 360 degrees are not coterminal. For example, 30 degrees and 390.5 degrees are not coterminal because they differ by 360.5 degrees, which is not a multiple of 360 degrees.

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Answer:

In what time frame. It asks how often she does both but does that mean in a week or another span of time?

Step-by-step explanation:

The radius of the cone is 783.84/√h

A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a cone is expressed as;

V = 1/3πr²h

643072 × 3 = 3.14 × r²h

r²h = 614400

r² = 614400/h

r = 783.84/√h

therefore the radius of the cone is 783.84/√h

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Answer:

N is a negative number, and since you did not provide a clear first option, I will assume the answer is none of the above. However, the accurate answer is n < 0.

Step-by-step explanation:

Hope this helped!

The probability of an adult getting a NEG result and truly having tuberculosis is 0.01725, which is closest to option (A) 0.0373.

Let's use the following notation:

P(TB) represents the probability that an adult has tuberculosis, which is given as 0.05.

P(POS|TB) represents the probability that the test is positive given that an adult has tuberculosis, which is given as 0.746.

P(NEG|TB) represents the probability that the test is negative given that an adult has tuberculosis, which is 1 - P(POS|TB) = 0.254.

We are asked to find the probability of an adult getting a NEG result and truly having tuberculosis, which can be calculated using Bayes' theorem as follows:

P(TB|NEG) = P(NEG|TB) * P(TB) / P(NEG)

We can calculate P(NEG) using the law of total probability, which considers the two possible cases for an adult: having tuberculosis (TB) or not having tuberculosis (TB').

P(NEG) = P(NEG|TB) * P(TB) + P(NEG|TB') * P(TB')

= 0.254 * 0.05 + 0.7653 * 0.95

= 0.7352

Now we can substitute the values into Bayes' theorem:

P(TB|NEG) = 0.254 * 0.05 / 0.7352

= 0.01725

Therefore, the probability of an adult getting a NEG result and truly having tuberculosis is 0.01725, which is closest to option (A) 0.0373.

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The ways that the exercise can be expressed such that for every 6 squares there are 3 circles include:

This question is asked in Spanish on an English site so the answer will be provided in English for better learning by other students.

The ratio of squares to circles is 6:3 or simplified, 2:1. This means for every 2 squares, there is 1 circle.

You could also use a proportional statement such that the number of squares is twice the number of circles. For every 6 squares, there are 3 circles.

There is also equation form where we can say, if S is the number of squares and C is the number of circles, the relationship could be expressed as S = 2C. This means the number of squares is twice the number of circles.

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The translated question is:

How to express this exercise for every 6 squares there are 3 circles.

Answer:

28 minutes

Step-by-step explanation:

y =kz/x where k is the constant of variation

y = number of minutes and x is people involved and z is the number of tasks

2 = k * 13/91

2 = k * 1/7

Multiply each side by 7

2*7 = k * 1/7 *7

14 =k

y =14 z/x

y = 14 * 4/2

y = 28

Answer:

minutes

Step-by-step explanation:

Therefore , the solution of the given problem of triangle comes out to be it is unsolvable as the all the information is not given option A is correct.

Polygons include triangles since they have four sides or more. It has a simple, geometric shape. The letters ABC make up a triangle, which is a square angle. Euclidean geometry results in a single rectangle or square so when sides remain not coincident. Because they have 3 components and three corners, triangles are polygons. A triangle's corners are where its three sides meet. The total of the angles in a triangle is 180 degrees.

Here,

Given :

=> α = 60°

=> β = 60°

=> γ = 60°

To solve the triangle we need to know the angles,

Since all the angles are equal to 60 degree

it seems it is an equilateral triangle having all the same sides

So,

it can be option b,c and d

but here is not mentioned the side length.

Thus, it is unsolvable.

Therefore , the solution of the given problem of triangle comes out to be it is unsolvable as the all the information is not given option A is correct.

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Answer:

cos35=a/20

0.8191=a/20

a=0.81×20

the answer is 16.4

0.81×20=16.4

Answer:

2x=125-10. Answer is 57.5

Step-by-step explanation:

It was asking for the length of the missing sides, and both of them are the same so its 2x= something. the other 2 sides are the same length (5) so that's where the 10 comes from. The 125 is the total perimeter. So, first you subtract 10 from 125 and you get 115. And then you divide 2 on both sides and you get x=57.5

I hope this helped :)

If this answer helped the most, give it the brainliest.

Given:

Sol:

Use the formula:

Then:

So missing line is:

Answer:

98.89

Step-by-step explanation:

Answer: 9/890=0.01011235955

Step-by-step explanation:

When performing a hypothesis test on the population mean (μ) when the population standard deviation (σ) is known, the null hypothesis (H0) can never be rejected if the sample mean falls within the acceptance range determined by the chosen significance level and the critical values.

In hypothesis testing for the population mean when the population standard deviation is known, the null hypothesis (H0) represents the claim or assumption that the population mean is equal to a specific value. The alternative hypothesis (Ha) states that the population mean is not equal to the specific value.

To determine whether to reject or fail to reject the null hypothesis, we compare the sample mean to the expected value under the null hypothesis. If the sample mean falls within the acceptance range determined by the chosen significance level and the critical values, we do not have sufficient evidence to reject the null hypothesis. The acceptance range is defined by the margin of error around the expected value, and it indicates the range of values that can be considered reasonably close to the expected value.

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Answer:

y: -5, -2, 1, 4, 7

Step-by-step explanation:

just search for a graphing calculator to see the table or drawn out version of the graph. (i used desmos graphing calc)

Jarome Iginla had 264 shots on goal during the 2006-2007 NHL season.

A pair of algebraic equations with the equal symbol (=) in the center and the same value are referred to as an equation.

Let's assume that Jarome Iginla had "x" shots on goal during the 2006-2007 NHL season.

As per the given information,

Dion Phaneuf had 41 more than half the number of shots on goal as Jarome Iginla.

Half of the shots on goal for Iginla can be represented as (1/2)x.

So, the number of shots on goal for Phaneuf can be represented as (1/2)x + 41.

As per the problem statement, we know that Phaneuf had 173 shots on goal.

Therefore, we can write the equation as:

(1/2)x + 41 = 173

Subtracting 41 from both sides, we get:

(1/2)x = 132

Multiplying both sides by 2, we get:

x = 264

Therefore, x = 264.

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The scale factor for both the width and height is 2.5. This means that Lucas needs to enlarge the photo by a factor of 2.5 in both dimensions.

To find the scale factor, we can divide the dimensions of the larger photo by the dimensions of the smaller photo.

For the smaller photo: Width = 3 inches, Height = 5 inches.

For the larger photo: Width = 7 1/2 inches, Height = 12 1/2 inches.

Calculating the scale factor for the width:

Scale factor = (Width of larger photo) / (Width of smaller photo)

= 7 1/2 inches / 3 inches

= 2.5

Calculating the scale factor for the height:

Scale factor = (Height of larger photo) / (Height of smaller photo)

= 12 1/2 inches / 5 inches

= 2.5

Therefore, the scale factor for both the width and height is 2.5. This means that Lucas needs to enlarge the photo by a factor of 2.5 in both dimensions.

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Answer:

It's 38.

Step-by-step explanation:

the sum of three consecutive even integers is 108, the largest number in the sequence would be 38.

I hope this helps you!

Answer:

We can use algebra to solve this problem. Let's call the smallest of the three consecutive even integers x. Since the integers are consecutive and even, the next two integers will be x+2 and x+4.

The problem states that the sum of three consecutive even integers is 108, so we can write an equation:

x + (x+2) + (x+4) = 108

We can simplify this equation by combining like terms:

3x + 6 = 108

3x = 102

x = 34

So, the smallest of the three consecutive even integers is 34.

The next two integers will be x+2 = 34+2 = 36 and x+4 = 34+4 = 38

The largest number of the three consecutive even integers is x+4 = 38.

The new selling price of the house must be $911,520 for the agent to achieve a 20% profit.

To answer your question, we need to first calculate the VAT and then find the new selling price that would yield a 20% profit. A VAT of 5 and 1/2% (5.5%) is applied to the initial selling price of $720,000.

To calculate the VAT amount, we can multiply the selling price by the VAT rate:

VAT = $720,000 * 0.055 = $39,600

Now, to find the new selling price that would give the agent a profit of 20%, we first need to determine the total cost of the house, which is the selling price plus the VAT:

Total cost = $720,000 + $39,600 = $759,600

Next, we calculate the amount that represents a 20% profit:

Profit = $759,600 * 0.20 = $151,920

Finally, we add the profit to the total cost to get the new selling price:

New selling price = $759,600 + $151,920 = $911,520

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F satisfies the Intermediate Value Theorem.

As it is given that the function f′(x) is always positive and f(0)=−3, and f(4)=7. Also, it is given that the function f(x) is differentiable. Therefore, the function f(x) is increasing from x=0 to x=4. As per Intermediate Value Theorem, if a function is continuous on a closed interval [a, b], then it takes on every value between f(a) and f(b) at some point in the interval. That is, if f(a) < f(b), and k is any number between f(a) and f(b), then there is at least one number c in [a, b] such that f(c) = k. Therefore, it can be said that the function f(x) has at least one root between x=0 and x=4.If the function f(x) has more than one root between x=0 and x=4, then the Intermediate Value Theorem will hold true again because the function is continuous on [a, b]. Therefore, the statement that "f has more than one root in (0,4)" is false.Based on the above discussion, the correct answer is (b) f has exactly one root in (0,4).

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An "unbiased-statistic" is preferred over "biased-statistic" for estimating population because it provides more accurate estimate of true population parameter.

A "biased-statistic" systematically overestimates or underestimates the population parameter, which leads to incorrect conclusions about the population. Biases can arise in many ways, such as through sampling methods or measurement errors.

Whereas, an "unbiased-statistic" is not systematically too high or too low, but rather it is an estimate that is equal on average to the true population parameter.

The "Unbiased-estimates" have a smaller "sampling-error" and are more accurate and more reliable for making inferences about the population.

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