A baseball pitcher won 65% of the games he pitched in his career If he pitched 120 games, how many games did he win?​

Answer:

25 miles per hour

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

the answer is right there lol

The required answer is  the limit of the sequence is 1.

To determine whether the sequence a_n = e^(8/√(n^3)) converges or diverges, we can use the limit comparison test.
First, note that e^(8/√(n^3)) is always positive for all n.
Next, we will compare a_n to the series b_n = 1/n^(3/4).
To determine whether the sequence converges or diverges, we need to analyze the given sequence a_n = e^(8/(n^3)). The value of (8/(n^3)) approaches 0 (since the denominator increases while the numerator remains constant). 3. Recall that e^0 = 1.

Taking the limit as n approaches infinity of a_n/b_n, we get:
lim (n→∞) a_n/b_n = lim (n→∞) e^(8/√(n^3)) / (1/n^(3/4))
= lim (n→∞) e^(8/√(n^3)) * n^(3/4)
= lim (n→∞) (e^(8/√(n^3)))^(n^(3/4))
= lim (n→∞) (e^((8/n^(3/2)))^n^(3/4))

Using the fact that lim (x→0) (1 + x)^1/x = e, we can rewrite this as:
= lim (n→∞) (1 + 8/n^(3/2))^(n^(3/4))
= e^lim (n→∞) 8(n^(3/4))/n^(3/2)
= e^lim (n→∞) 8/n^(1/4)
= e^0 = 1

Since the limit of a_n/b_n exists and is finite, and since b_n converges by the p-series test, we can conclude that a_n also converges by the limit comparison test.

Therefore, the sequence a_n = e^(8/√(n^3)) converges, and to find the limit we can take the limit as n approaches infinity:
lim (n→∞) a_n = lim (n→∞) e^(8/√(n^3))
= e^lim (n→∞) 8/√(n^3)
= e^0 = 1
as n approaches infinity, the expression e^(8/(n^3)) approaches e^0, which is 1. Conclusion.
So the limit of the sequence is 1.

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Answer:

\(m=3x^{3} +2\)

Step-by-step explanation:

\(4x^{2} -x+m=3x^{2} +x+2\)

\(4x^{2} +m=3x^{2} +2x+2\)

\(x^{2} +m=2x+2\)

\(m=3x^{3} +2\)

Answer:

It will take 6 weeks for each of them to get 130$.

Step-by-step explanation:

Add 20$ each week and 5$ each week till you get the same number.

A customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day.

Charge for first 5 charged = $ 4.50

Charge for additional time = $ 0.50 per minute

Starting time = 9:35 p.m.

End time = 11:15 p.m.

Total minutes = 100 minutes

Total charge = 4.50 + (95 x 0.50)

                  = 4.50 + 47.50

                  = 52.00

Hence, a customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day i.e. for 100 minutes.

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The number of constraints required at each cut-point for a cubic spline is two, and the total degrees-of-freedom for the curve can be calculated using the formula:

degrees-of-freedom = (number of cubic polynomials) x 4 - (number of cut-points) x 2

When fitting a piecewise polynomial for a regression, the number of constraints required at each cut-point to obtain a cubic spline is two. These two constraints are known as continuity constraints. The first continuity constraint is that the two adjacent cubic polynomials must have the same function value at the cut-point. The second continuity constraint is that the two adjacent cubic polynomials must have the same derivative value at the cut-point. These constraints ensure that the cubic spline is smooth and continuous at each cut-point.
The total degrees-of-freedom for the curve can be calculated by subtracting the total number of constraints from the total number of parameters in the model. For a cubic spline, there are four parameters for each cubic polynomial and two constraints at each cut-point. Therefore, the total degrees-of-freedom for the curve can be calculated using the formula:
degrees-of-freedom = (number of cubic polynomials) x 4 - (number of cut-points) x 2
It is important to note that the number of cut-points is equal to the number of pieces minus one, where a piece refers to a continuous interval in the data that is fitted with a single cubic polynomial.

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Answer:

2

Step-by-step explanation:

Answer:

30 students

Step-by-step explanation:

3 students = 10% of the class.

x students = 90% of the class.

(If more, less divides. Let x be the subject. Since we know 10% of the class already, we have to find the remaining 90% that is 100% - 10% = 90%.)

x = 90%/ 10% × 3 students. ( the percentage signs cancel out and so do the zero's.)

x= 9/1 × 3 students ( 9/1 is the same as 9)

x= 27 students

(To find the total, you must add the 10% of the students to the remaining 90% of the students in the class.)

Total number of students in the class = 27 students + 3 students

= 30 students

Answer:

4.5 pounds

Step-by-step explanation:

0.2 × 22.5 = 4.5 pounds

Answer:

8

Step-by-step explanation:

12 * 2

3

= 24

3

= 8

Therefore the answer is E. 8

Answer: The answer is D 12 i am pretty sure.

Answer:

C) 35

Step-by-step explanation:

The answer is C because he sold 80 lemon pies and as the question states ten more than twice the number of apple pies were sold .

Subtract 80 by 10 and divide it by 2

80-10=70÷2 = 35

Step-by-step explanation:

X is the mulplied

Y is the pronouns

We have to find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1.

To find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1, we have to integrate x^(1/2) and x^(1/3) with respect to x. That is, Area = ∫0¹ [x^(1/2) - x^(1/3)] dx= [2/3 x^(3/2) - 3/4 x^(4/3)] from 0 to 1= [2/3 (1)^(3/2) - 3/4 (1)^(4/3)] - [2/3 (0)^(3/2) - 3/4 (0)^(4/3)]= 0.2857 square units

Therefore, the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1 is 0.2857 square units. Note: The question  but the answer has been provided in the format requested.

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This mixture would cost $3.12 per pound.

Total product cost which helps to  make the decisions regarding the product pricing. Total cost of the product is calculated by the product of the number of units of the products and the cost per unit.

Half gallon of milk is $2.12

Doz of egg is $0.85

5 lb of flour is $1.95

5 lb of sugar is $2.05

3 lb of shortening is $3.35

To find the cost of the ingredients of 1 pt (2cup) milk, 4 eggs, 2 lb (4cup) flour, 1 lb (2cup) sugar and 1 lb shortening

1 gallon = 8pt, then half gallon is 4pt

4 pt of milk cost is $2.12

Then cost of 1 pt of milk cost, 2.12/4 = $0.53

Total cost of ingredients is $0.53+ $0.283+ $0.78+ $0.41+ $1.1167 = $3.1197

Total cost of ingredients to make cake is $3.12

Any fat that is solid at room temperature and used to create flaky pastry and other foods are known as shortening.

Long before the creation of contemporary, shelf-stable vegetable shortening, the concept of shortening may be traced back to at least the 18th century.

Lard was the main component used to shorten dough in past eras. It behaves as though it has short fibers, which is why it is termed shortening since it makes the finished dish crumbly.

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Answer:

a= -4

Step-by-step explanation:

subtract 4a from both sides

add 15 to both sides

divide both sides by -3

(order of operations)

Given that a fair coin is flipped four times. We are supposed to find: (a) The probability it will land up heads each time.(b) The probability it will land the same way each time (slightly different from (a)). So, (a) the probability it will land up heads each time is 1/16, (b) the probability it will land the same way each time is 1/8.

(a) The probability it will land up heads each time: The probability of getting a head in a single toss of a fair coin is 1/2. The probability of getting a head four times in a row would be:

P (H) = 1/2, P (H) = 1/2, P (H) = 1/2, P (H) = 1/2

P(4 heads)= 1/2 × 1/2 × 1/2 × 1/2 = 1/16.

So, the probability it will land up heads each time is 1/16.

(b) The probability it will land the same way each time: There are two ways in which all four flips can be the same (all heads or all tails). The probability of getting all heads is:

P(4 heads)= 1/2 × 1/2 × 1/2 × 1/2 = 1/16

The probability of getting all tails is: P(4 tails)= 1/2 × 1/2 × 1/2 × 1/2 = 1/16.

The probability it will land the same way each time is: P(all heads) + P(all tails)= 1/16 + 1/16 = 1/8.

Thus, the probability it will land the same way each time is 1/8.

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12 is the least common denominator between 3/4 and 7/12.

The least common denominator (LCD) of two or more fractions is the smallest number that can be divided by the denominators of each of the fractions without leaving a remainder.

The smallest number among all the common multiples of the denominators is the least common denominator when two or more fractions are provided.

Finding the least common multiple (LCM) of the denominators 4 and 12 will allow you to get the least common denominator of 3/4 and 7/12.

12 is the least frequent multiple of 4 and 12. Therefore, 12 is the least common denominator between 3/4 and 7/12.

Finding the denominators' multiples is another way to locate it. 43 = 12 is the least common multiple and the least common denominator, respectively.

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Answer:

7

Step-by-step explanation:

Answer:

You will have exact seven.

Answer:

 (a)  F

  (b)  30 in

  (c)  26 in²

  (d)  count unit squares, or divide into rectangles and add

Step-by-step explanation:

Given the coordinates of the points plotted in the attachment, you want to know the perimeter and area of the figure formed.

The figure formed is the block letter F.

The sum of the edge lengths is ...

  8 + 5 + 2 + 3 + 1 + 2 + 2 + 2 + 3 + 2 = 30 . . . inches

30 inches of tape are required.

Considering the line x=4, there is an 8×2 rectangle to its left, a 2×3 and a 2×2 rectangle to its right. The sum of their areas is ...

  8×2 +2×3 +2×2 = 2(8 +3 +2) = 2(13) = 26 . . . . square inches

The area of the figure is 26 square inches.

If you read the above, you see we found the area by dividing the figure into three (3) rectangles. The area of the figure is the sum of their areas.

If you like, you can also count the grid squares. Each square is 1 in². In each column working from the left, their number is ...

  8 + 8 + 4 + 4 + 2 = 26 . . . . square inches.

__

Additional comment

It is easier to get the correct answers if you plot the given coordinates carefully.

<95141404393>

The graphs of the linear equations 10x - 12y = 14 and 5x - 6y = 7 intersect along the entire line represented by the equations.

To find the point of intersection between the graphs of the linear equations 10x - 12y = 14 and 5x - 6y = 7, we can solve the system of equations simultaneously.

First, let's solve the second equation for x:

5x - 6y = 7

5x = 6y + 7

x = (6y + 7) / 5

Next, substitute this expression for x into the first equation:

10x - 12y = 14

10((6y + 7) / 5) - 12y = 14

12y + 14 - 12y = 14

14 = 14

The equation 14 = 14 is always true. This indicates that the two equations represent the same line and are coincident. Therefore, the graphs of the two equations overlap and intersect at all points along the line defined by the equations.

In summary, the graphs of the linear equations 10x - 12y = 14 and 5x - 6y = 7 intersect along the entire line represented by the equations.

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\( \frac{ \sin(a) - \cos(a) + 1 }{ \sin(a) + \cos(a) - 1 } = \\ \)

____________________________________________

\( \frac{ \sin(a) - \cos(a) + 1 }{ \sin(a) + \cos(a) - 1 } \times \frac{ \sin(a) + \cos(a) + 1}{ \sin(a) + \cos(a) + 1 } = \)

\( \frac{ {sin}^{2}(a) + 2 \sin(a) - {cos}^{2} (a) + 1 }{ {sin}^{2}(a) + 2 \sin(a) \cos(a) + {cos}^{2}(a) - 1 } = \)

_____________________________________________

As you know :

\( {sin}^{2} (a) + {cos}^{2} (a) = 1\)

_____________________________________________

\( \frac{ {sin}^{2} (a) - {cos}^{2}(a) + 2 \sin(a) + 1}{ {sin}^{2} (a) + {cos}^{2}(a) - 1 + 2 \sin(a) \cos(a) } = \)

\( \frac{ {sin}^{2}(a) - (1 - {sin}^{2}(a)) + 2 \sin(a) + 1 }{1 - 1 + 2 \sin(a) \cos(a) } = \)

\( \frac{ {sin}^{2} (a) + {sin}^{2} (a) - 1 + 1 + 2 \sin(a) }{2 \sin(a) \cos(a) } = \)

\( \frac{2 {sin}^{2}(a) + 2 \sin(a) }{2 \sin(a) \cos(a) } = \)

\( \frac{2 \sin(a)( \sin(a) + 1) }{2 \sin(a)( \cos(a) \: ) } = \\ \)

\( \frac{ \sin(a) + 1}{ \cos(a) } \\ \)

And we're done...

Take care ♡♡♡♡♡

Answer:3500

Step-by-step explanation:

Answer:

3500

Step-by-step explanation:

7*10^5 = 700 000

2*10^2 = 200

700000/200 = 3500

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer:

D $147.00

Step-by-step explanation:

$2100.00×7%

Answer:

Yes

Step-by-step explanation:

I am pretty sure it is a linear function

Answer:

yes

Step-by-step explanation:

\(3x+6-y=2y-8\\\\3x+6=2y+y-8\\\\3x+6=3y-8\\\\3y-8=3x+6\\\\3y=3x+6+8\\\\3y=3x+14\\\\y=x+\frac{14}{3}\)

so yes it's a function

Answer: 41.85 or 41 17/20.

Step-by-step explanation:

Formulate : 2511 / 12 / 5

calculate the product/quotient : 2511/60

Cross out the common factor:  837/20

Getting the result of 41.85 or 41 17/20.

Answer - 41.85 or 41 17/20.

Answer:

8 units

Step-by-step explanation:

Area of a rectangle = Width multiplied by Length

Substitute in all the known numbers into this formula to get

72 = (9) × \((2x+4)\)

Solve the equation for x, to find out the length

\(9(2x+4)=72\)

\(2x+4=72/9\)

\(2x+4=8\)

\(2x=8-4\)

\(2x=4\)

\(x=4/2\)

\(x=2\)

Length of the rectangle = \((2x+4)\)

\(2(2)+4\)

\(4+4=8\)

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

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Answer:

\(=3/4\)

Step-by-step explanation:

\(\frac{4\sqrt{18}}{16\sqrt{2}}\)

First, simplify the fraction:

\(=\frac{\sqrt{18}}{4\sqrt2}\)

Now, simplify the radical in the numerator (the radical in the denominator cannot be simplified:

\(\sqrt{18}=\sqrt{9\cdot2}=\sqrt{9}\cdot\sqrt{2}=3\sqrt{2}\)

Substitute:

\(=\frac{3\sqrt{2}}{4\sqrt{2}}\)

The radicals cancel:

\(=3/4\)