Consider the series
Sn =
72
i=1
8
i +9
Find s4 and 88
S4
S8 =
n=1
8
+∞
n +9
Let s, be the n-th partial sum; that is,
4

Answer:

No, it is not a right triangle.

Step-by-step explanation:

A right triangle will follow the Pythagorean Theorem: a² + b² = c²

c is the hypotenuse, or the longest side. In this case, it is 9.

That means a and b are 7 and 8.

Now let's plug in the values to see if they simplify correctly.

(7)² + (8)² = (9)²

Simplify the exponents.

49 + 64 = 81

Add the left side.

113 = 81

The above expression is not true; therefore, this triangle is not a right triangle.

Rewriting 4 x 3/6 as the product of a unit fraction and a whole number is: 12 * 1/6

The parameters are given as:

Number - 4

Fraction - 3/6

The following steps can be used to determine the product as the product of a whole number and a unit fraction:

Step 1 - Remember the whole number are those numbers that involve all positive integers and zero.

Step 2 - Also remember that the unit fraction is nothing but a fraction whose numerator is 1.

Step 3 - Write the given expression.

4 * 3/6

Step 4 - Convert the given fraction into a unit fraction by multiplying 4 by 3 in the above expression.

4 * 3 * 1/6

Step 5 - Simplify the above expression.

12 * 1/6

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Answer:

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Initial value of the toy is €450.

After 10% increase the value is:

After further 10% decrease the value becomes:

The final value of the toy is €445.50.

The simplified expression of the complex number 6! - 3! is another complex number 6i(1 - 0.5)

The complex number expression is given a:

6! - 3!

Factor out i from the expression

6! - 3! = i(6 - 3)

Factor out 6 from the expression

6! - 3! = 6i(1 - 0.5)

The above means that the simplified expression of the complex number 6! - 3! is 6i(1 - 0.5)

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The angles that we have in the image here are:

When two angles are measured, they sum up to 180. They are said to be supplementary angles.

On the question, we have two angles that are 90 degrees on a straight line. Hence they are supplementary.

This is an angle that is at 90 degrees. We have to two right angles on the diagram that we have here.

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Answer:

There are a total of 25 marbles in the bag.

The probability of choosing a red marble first is 8/25 since there are 8 red marbles out of 25 marbles in the bag.

Since a marble is not replaced after the first selection, there are now 24 marbles in the bag. There are still 3 blue marbles in the bag.

The probability of choosing a blue marble second, after a red marble has already been selected, is 3/24 or 1/8 since there are 3 blue marbles left out of 24 marbles in the bag.

To find the probability of both events occurring together, we multiply their individual probabilities:

8/25 x 1/8 = 1/25

Therefore, the probability that a red marble is chosen first, followed by a blue marble, is 1/25.

The equation of line passes through the point (4, 1/3) will be;

⇒ y = 3/4x - 8/3

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (4, 1/3).

And, The slope of the line is,

⇒ m = 3/4

Now,

Since, The equation of line passes through the point (4, 1/3).

And, Slope of the line is,

m = 3/4

Thus, The equation of line with slope 1/4 is,

⇒ y - 1/3 = 3/4 (x - 4)

⇒ y - 1/3 = 3/4 (x - 4)

⇒ y - 1/3 = 3/4x - 3

⇒ y = 3/4x - 3 + 1/3

⇒ y = 3/4x - 8/3

Therefore, The equation of line passes through the point (4, 1/3) will be;

⇒ y = 3/4x - 8/3

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Answer:

136

Step-by-step explanation:

While there is no picture for this question, I was able to find this question online, so that should be the correct answer.

Answer:

X is 108, infinite

Step-by-step explanation:

Answer:

25% were knives

Step-by-step explanation:

The correct answer is c) Other types of pseudo R-squares may be greater or less than 60% with the same logistic regression model.

Pseudo R-squares, such as the one used in logistic regression, are measures of how well the model fits the data, but they cannot be directly compared to R-squared values from other types of regression models. Therefore, we cannot conclude that the logistic regression model with a pseudo R-Square of 60% is better than another logistic regression with an R-square (CS) of 50% or a multiple linear regression model with an R-square of 55%. However, we can say that 60% of the variation in the data can be explained by the logistic regression model, based on its pseudo R-Square value.

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The type of toy the kids enjoyed the most is the doll.

The total number of kids evaluated = 80

The percentage of kids that like train = 30%

The percentage of kids that like doll = 70%

30% of 80 = 30/100×80

= 2400/100

= 24

70% of 80 = 70/100×80

= 5600/100

= 56

Therefore, the type of toy the kids enjoyed the most is the doll.

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Answer:

119/4

Step-by-step explanation:

The expression when distributed is 3 + 2k

From the question, we have the following parameters that can be used in our computation:

1/5(15 + 10k)

The distribution property states that

a(b + c) = ab + ac

using the above as a guide, we have the following:

1/5(15 + 10k) = 1/5 * 15 + 1/5 * 10k

Evaluate the products

1/5(15 + 10k) = 3 + 2k

Hence, the equivalent expression is 3 + 2k

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Answer:

the answer is b, c, d, a, respectively

Answer:

Step-by-step explanation:

We will first find the prime factorization of 4 and 6. After we will calculate the factors of 4 and 6 and find the biggest common factor number .

Step-1: Prime Factorization of 4

Prime factors of 4 are 2. Prime factorization of 4 in exponential form is:

4 = 22

Step-2: Prime Factorization of 6

Prime factors of 6 are 2, 3. Prime factorization of 6 in exponential form is:

6 = 21 × 31

Step-3: Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1, 2

Step-4: Factors of 6

List of positive integer factors of 6 that divides 4 without a remainder.

1, 2, 3

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4 and 6. The biggest common factor number is the GCF number.

So the greatest common factor 4 and 6 is 2.

Answer: 2 the gcm of -4 and 6 is two

Answer:

x = 19

Step-by-step explanation:

So cos and sin are closely related, but they are not equal. In order for these two to be equal to each other, the angles (in the parenthesis by the cos and by the sin) have to be complementary. That is, they have to add up to 90°

Use this idea to set up an equation.

x + 16 + 3x - 2 = 90

Combine like terms.

4x + 14 = 90

Subtract 14.

4x = 76

Divide by 4.

x = 19

x = 19

If you are kooking for the angles:

x + 16

= 19 + 16

= 35

and

3x - 2

= 3(19) - 2

= 57 - 2

= 55

Check: 35 + 55=90

Also,

cos35 = sin55

Answer:

its 547632

Step-by-step explanation:

cuz yeeeeeeeeee

Answer:

More precisely, the sine of an angle t equals the y-value of the endpoint on the unit circle of an arc of length t.

Step-by-step explanation:

Bunctions, the sine function has an input and an output.

Answer: 7/25

Step-by-step explanation:

To find the sine you divide the opposite side of the angle by the hypotenuse

Answer:

The correct product is 6,252.

I don't know what Dan did wrong lol

The solution to the given expression \(\sqrt[4]{6561a^{12}b^{8}}\)  will be 9a³b². The correct option is D.

The square root or nth roots are represented by the symbol. Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given expression will be solved as below:- First, write the expression as 9a³b² to the power of 4 and whole to the power of one by four. Simplify the given expression below:-

\(\sqrt[4]{6561a^{12}b^{8}}=[(9a^3b^2)^4]^{\frac{1}{4}}\\\sqrt[4]{6561a^{12}b^{8}}=9a^3b^2\)

Therefore, the solution to the given expression \(\sqrt[4]{6561a^{12}b^{8}}\)  will be 9a³b². The correct option is D.  

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Answer:

The best way and easiest to answer is to use socratic because its helpful if you dont find the answer here.

Answer:

answer is 6.3

Step-by-step explanation:

there is no way to get 6.80 from 2.25*2.80 because its answer is 6.3

On solving the provided question, we can say that Probability(A and B) = P(A)P(B|A) and P(E or F) = P(E) + P(F) - P(E and F)

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

Probability(A and B) = P(A)P(B|A).

P(A and B) = P(B and A), this may also be written as P(A and B) = P(B)P(A|B).

Using the general multiplication rule, we have

P(E and F) = P(E)P(F|E)

.392 = P(E)(.7)

P(E) = .56

   P(E and F) = P(F)P(E|F)

.392 = P(F)(.56), so

P(F) = .7

P(E or F) = P(E) + P(F) - P(E and F)

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Answer:

Step-by-step explanation:

The number of months is our unknown, which we will call x. y is the amount she saves. Representing the fact that she puts $10 away per month is 10x. If she puts $300 down initially and then adds 10 per month to that, the first equation is

y = 10x + 300

The same goes for the second option. Putting $30 away every month is represented as 30x, and if she is starting with 100 and adding 30 a month to it, the second equation is

y = 30x + 100

We are being asked to find the number of months where the amount Tina saves is equal. Since y is the amount Tina has saved and we want to know when these amounts are equal, we will set the equations equal to each other and solve for x, the number of months.

10x + 300 = 30x + 100 and

200 = 20x so

x = 10. After 10 months, Tina will have saved the same amount of money regardless of which option she has chosen. This is only true for 10 months though. After that, one will show more of a savings than the other.

Answer:

Step-by-step explanation:

Gonnnnnnnnnnnnnnnnnnnnn

The algebraic values of x include:

Using the same reasoning as in the previous problem:

24² + 45² = x²

576 + 2025 = x²

2601 = x²

x = ±51

Since x represents a length, discard the negative solution. Therefore, the value of x is 51.

Using the Pythagorean Theorem:

30² + 40² = x²

900 + 1600 = x²

2500 = x²

x = ±50

Since x represents a length, discard the negative solution. Therefore, the value of x is 50.

Using the Pythagorean Theorem:

18² + 80² = x²

324 + 6400 = x²

6724 = x²

x = ±82

Since x represents a length, discard the negative solution. Therefore, the value of x is 82.

Using the Pythagorean Theorem:

18² + 4² = x²

324 + 16 = x²

340 = x²

x = √340 = 2√85

Therefore, the value of x is 2√85 in simplest radical form.

Using the Pythagorean Theorem:

8² + 5² = x²

64 + 25 = x²

89 = x²

x = √89

Therefore, the value of x is √89 in simplest radical form.

Using the Pythagorean Theorem:

20² + 18² = x²

400 + 324 = x²

724 = x²

x = √724 = 2√181

Therefore, the value of x is 2√181 in simplest radical form.

Using the Pythagorean Theorem:

25² + 3² = x²

625 + 9 = x²

634 = x²

x = √634

Therefore, the value of x is √634 in simplest radical form.

Using the Pythagorean Theorem:

3² + 6² = x²

9 + 36 = x²

45 = x²

x = √45 = 3√5

Therefore, the value of x is 3√5 in simplest radical form.

Using the Pythagorean Theorem:

22² + 4² = x²

484 + 16 = x²

500 = x²

x = √500 = 10√5

Therefore, the value of x is 10√5 in simplest radical form.

To determine if a triangle is a right triangle, we can use the Pythagorean Theorem, which states that for any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Therefore:

a² + b² = c²

Substituting a = 8, b = 15, and c = 17:

8² + 15² = 17²

64 + 225 = 289

289 = 289

Since the equation is true, the triangle satisfies the Pythagorean Theorem and is therefore a right triangle.

Using the same method:

27² + 36² = 45²

729 + 1296 = 2025

2025 ≠ 2025

Since the equation is false, the triangle does not satisfy the Pythagorean Theorem and is therefore not a right triangle.

Using the same method:

9² + 11² = 4²

81 + 121 = 16

202 ≠ 16

Since the equation is false, the triangle does not satisfy the Pythagorean Theorem and is therefore not a right triangle.

To determine the classification of this triangle, compare the lengths of its sides. If all sides are less than the sum of the other two, then the triangle is acute; if one side is greater than or equal to the sum of the other two, then the triangle is obtuse; and if one side is equal to the sum of the other two, then the triangle is degenerate (a straight line).

Substituting a = 3, b = 4, and c = 6:

a + b = 3 + 4 = 7 < c

b + c = 4 + 6 = 10 > a

a + c = 3 + 6 = 9 > b

Since none of the sides are equal to or greater than the sum of the other two, the triangle is acute.

Substituting a = 9, b = 11, and c = 16:

a + b = 9 + 11 = 20 < c

b + c = 11 + 16 = 27 > a

a + c = 9 + 16 = 25 > b

Since none of the sides are equal to or greater than the sum of the other two, the triangle is acute.

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Image transcribed:

Algebra Find the value of x.

1. 12, 9, x

To start, use the Pythagorean Theorem. Then substitute 9 for a, 12 for b, and x for c.

2. 45 24 x

3. 30, 40, x

4. 80, 18, x

Algebra Find the value of x. Express your answer in simplest radical form.

8. 18, 4, x

9. 8, 5, x

10. 20, 18, x

11. 25, 3, x

12. 3, 6, x

13. 22, 4, x

Is each triangle a right triangle? Explain.

16. 15, 17, 8

17. 27, 45, 36

18. 9, 11, 4

The lengths of the sides of a triangle are given. Classify each triangle as acute, right, or obtuse.

19. 3,4,6

To start, compare to a+b. Substitute the greatest length for c.

20. 9, 11, 16

The formula for the 'B' variable is V/MK

To solve for the variable B is to make it the subject of formula.

Subject of formula is the variable that is expressed in terms of the other variables in a given formula, expression, function or equation.

Example;

In the equation,  2x + y = 4, let's make 'y' the subject of formula

y = 4 - 2x

Given the expression;

V=BMK

To make 'B' the subject, we need to divide both sides by the coefficients of B, we have;

V/MK = BMK/MK

B = V/MK

Thus, the formula for the 'B' variable is V/MK

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