On a famous episode of Star Trek, Captain Kirk and the gang played a card game called Phisbin. This problem is about another game, called Frisbin. The object of Frisbin is to throw three Frisbees at three different-sized bins that are set up on the ground about 20 feet away from the player. If a Frisbee lands in the largest bin, the player scores 1 point. If a Frisbee lands in the medium-sized bin, the player scores 5 points. If a Frisbee lands in the smallest bin, the player scores 10 points. Kirk McCoy is playing the game. If all three of his Frisbees land in bins, how many different total scores can he make?

Answer:

0.005

Step-by-step explanation:

Answer:

.005

Step-by-step explanation:

If increasing the sides of a square field by five feet will increase the area by 245 ft², then the area of the original square is 484 ft².

To find the area of the original square, we can use the following formula:

Area of the original square = x²

where x is the original length of the square field.

Given that the increase in the length and width of the square field is 5 ft, the side length of the new square is (x + 5) ft. Therefore, the area of the new square is (x + 5)² ft².

Given that the area of the new square is 245 ft² more than the area of the smaller square, we can write:

(x + 5)² = 245 + x²

Expanding the left-hand side of the equation and simplifying, we get:

x² + 10x + 25 = 245 + x²

Solving for x, we get:

10x + 25 = 245

x = 22

Plugging x = 22 into the formula, we can find the area of the original square:

Area of the original square = x² = 22² = 484 ft²

Therefore, the area of the original square is 484 ft².

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Answer:165degrees

Step-by-step explanation

Use formula N-2 × 180 N is the number of sides

24-2=22

22x180=3960 total

for each angle divide total by 24=165 degrees

Answer:  the value of f′′′(4) is 3/256.

Step-by-step explanation:

Given the third-degree Taylor polynomial:

f(x) = (x−4)³/512 − (x−4)²/64 + (x−4)⁴/2

To find the value of f′′′(4), we need to differentiate the polynomial three times and evaluate it at x = 4.

First derivative:

f'(x) = 3(x−4)²/512 − 2(x−4)/64 + 4(x−4)³/2

Second derivative:

f''(x) = 6(x−4)/512 − 2/64 + 12(x−4)²/2

Third derivative:

f'''(x) = 6/512 + 24(x−4)/2

Now, substitute x = 4 into f'''(x):

f'''(4) = 6/512 + 24(4−4)/2

= 6/512 + 0

= 6/512

= 3/256

Therefore, the value of f′′′(4) is 3/256.

In this scenario, the parameter is the sample proportion, which is of 0.7.

She goes to the correct object in 70 of those 100 trials, hence:

\(p = \frac{70}{100} = 0.7\)

The parameter is the sample proportion, which is of 0.7.

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Answer: 432 ft^2

Step-by-step explanation:

If 1"=3', and the box is 8"x6", then we can simply multiply the 8 and 6 by three. You would get 24 by 18.

Follow this up by the equation a=w*l to get

a=24*18 = 432 ft^2.

Answer:

IJK and KJM

Step-by-step explanation:

Vertical Angles are the angles opposite each other when two lines cross

they are always equal in measure and share a point (in this case J)

hope this helps

Answer:

C. 1

Step-by-step explanation:

angle L and angle N are equal so the length of ML and MN should be equal too (isosceles triangle)

4x = x + 3 subtract x from both sides

3x = 3 divide both sides by 3

x = 1

Answer:

m = 4

Step-by-step explanation:

-5m+10= -10

or, -5m = -10-10

or, m = -20/-5

or, m = 4

Answer:

$4050

Step-by-step explanation:

16% of 7500 is 1200

30% of 7500 is 2250

A very simple way of figuring that out is moving the decimal place two to the left (7500 is now 75.00) and multiplying it by the percent (75*16=1200)

Just subtract the percentage numbers and you're done

7500-1200=6300

6300-2250=4050

Please give brainliest if I helped! :)

Answer:

2 and 6

Step-by-step explanation:

Adjacent angles require a common vertex, side, and the interiors don't overlap.

Answer:

$7.00

Step-by-step explanation:

40.50-33.50=

$7.00

Answer:

$7.00

Step-by-step explanation:

You subtract the $40.50 from the $33.50

Answer:

x=80, y=90

Step-by-step explanation:

Well apparently y=90 since it's a straight angle.

Since the two side of this triangle are equal, that top angle of its left flank is equal to the top angle of its right flank, which is 10 degrees, so x=180-90-10=80

Done :)

The trinomials that have (3x+2) as a factor are \(x^{2} 6x^2+19x+10, 6x^2-x-2\sqrt{x} \\\\\)  , \(6x^2+7x-3, 6x^2-5x-6 and 12x^2-x-6.\)

A trinomial is a polynomial with three terms. Each trinomial can be written in the form ax^2+bx+c, where a, b and c are constants, and x is a variable. If a trinomial has (3x+2) as a factor, then it can be written in the form (3x+2)(ax+b). By multiplying out this expression, we can obtain the trinomial ax^2+bx+c.

To find the trinomials that have (3x+2) as a factor, we need to solve the equation ax^2+bx+c = (3x+2)(ax+b). This can be done by equating coefficients of the same powers of x. For example, equating the coefficients of x^2 gives us the equation a = 3a. Since a cannot equal both 3a and 0, we must have a = 0. Similarly, equating the coefficients of x gives us the equation b = 3b+2a, so b = -2a. Finally, equating the constants gives us the equation c = 3b+2a, so c = 2a.

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Answer: 50 + 18 = 68

Step-by-step explanation: just substitute the letter "t" for 18, then it's easy to fill in the boxes.

Answer:

68

Step-by-step explanation:

This is because the values of f(x) in the table match the corresponding values obtained by evaluating the polynomial function for the given input values of the function represented by the data a polynomial function is represented by the data is f(x) = x^3 - x^2 - 24.

A polynomial is an expression with more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable. A polynomial function is a function that includes a polynomial expression with an independent variable (x) that can only take on integer values because of its discrete nature.

Choose the function represented by the data: The polynomial function represented by the data is f(x) = x^3 - x^2 - 24.

A table representing the function f(x) = x^3 - x^2 - 24 is shown below:

x | f(x)

0 | -24

1 | -14

2 | 0

4 | 40

Therefore, the function represented by the data is f(x) = x^3 - x^2 - 24.

The provided table displays the values of the function f(x) for different input values of x. By substituting the corresponding values of x into the function, we can observe the corresponding output values. This allows us to identify the pattern and equation that represents the function.

In this case, the table shows that when x is 0, the value of f(x) is -24. When x is 1, f(x) is -14. When x is 2, f(x) is 0. And when x is 4, f(x) is 40.

Based on these data points, we can conclude that the function represented by the data is f(x) = x^3 - x^2 - 24.

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We find that Option 2, f(x) = \((x^3)/4 + 2x^2 - 24\), matches the data given in the table.

Based on the data given in the table, we need to determine the polynomial function that represents the data.
To do this, we can compare the values of f(x) in the table with the given options for the polynomial functions. We are looking for a function that matches the given data points.

Let's evaluate each option using the x-values from the table:
Option 1: f(x) = \(x^3 - x^2 - 24\)
For x = 0,\(f(0) = 0^3 - 0^2 - 24 = -24\) (matches the data)
For x = 1, \(f(1) = 1^3 - 1^2 - 24 = -24 - 1 - 24 = -49\) (does not match the data)
For x = 2,\(f(2) = 2^3 - 2^2 - 24 = 8 - 4 - 24 = -20\) (does not match the data)
Option 2: \(f(x) = (x^3)/4 + 2x^2 - 24\)
For x = 0,\(f(0) = (0^3)/4 + 2(0^2) - 24 = 0 - 0 - 24 = -24\) (matches the data)
For x = 1,\(f(1) = (1^3)/4 + 2(1^2) - 24 = 1/4 + 2 - 24 = -20.75\)(does not match the data)
For x = 2, \(f(2) = (2^3)/4 + 2(2^2) - 24 = 8/4 + 8 - 24 = -14\)(matches the data)
Option 3: f(x) = -24 - 14(3/3)(3/4)
Simplifying, f(x) = -24 - 14(1)(3/4) = -24 - 14(3/4) = -24 - 10.5 = -34.5 (does not match the data)
Option 4: \(f(x) = -2 1/4 * x^2 + 24\)
For x = 0, \(f(0) = -2 1/4 * 0^2 + 24 = 24\) (does not match the data)
For x = 1,\(f(1) = -2 1/4 * 1^2 + 24 = -2 1/4 + 24 = 21.75\) (does not match the data)
For x = 2,\(f(2) = -2 1/4 * 2^2 + 24 = -2 1/4 * 4 + 24 = -9 + 24 = 15\) (does not match the data)
Option 5: \(f(x) = 3/4 * x^2 - 3x + 24\)
For x = 0, \(f(0) = 3/4 * 0^2 - 3(0) + 24 = 24\) (does not match the data)
For x = 1, \(f(1) = 3/4 * 1^2 - 3(1) + 24 = 3/4 - 3 + 24 = 21.75\) (does not match the data)
For x = 2,\(f(2) = 3/4 * 2^2 - 3(2) + 24 = 3/4 * 4 - 6 + 24 = 3 - 6 + 24 = 21\)(matches the data)

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Answer:

6.3cm

Step-by-step explanation:

10mm=1cm

63mm=?cm

(cross multiply)

?=(63mm×1cm)/10mm

?=6.3cm

Step-by-step explanation:

\(\sf Books\begin{cases}\sf Mathematics\leadsto 4 \\ \sf English \leadsto 3 \\ \sf Science \leadsto 6\end{cases}\)

\(\tt {:}\longrightarrow Total\:books=3+4+6=13\)

\(\tt {:}\longrightarrow |S|=13\)

\(\tt {:}\longrightarrow E=\:\{3\:English\:books\}\)

\(\tt {:}\longrightarrow |E|=3\)

\(\sf P(E)\begin{cases}\tt {:}\longrightarrow \dfrac{|E|}{|S|} \\ \tt {:}\longrightarrow \dfrac{3}{13}\end{cases}\)

Answer:

1/286

Step-by-step explanation:

got it right on edge :)

The function f(n) that generates this sequence is 2 + 1/(n+1). This function takes an input of n and outputs the corresponding term in the sequence.

What is an arithmetic sequence?

A progression or sequence of numbers known as an arithmetic sequence maintains a consistent difference between each succeeding term and its predecessor. The common difference in that mathematical progression is the constant difference.

Here, we have

Given: the sequence 2 and one-half comma 2 and one-third comma 2 and one-fourth comma and continues.

Each term in the sequence is 2 plus a fraction where the denominator is one more than the term number. For example:

In the first term, n=1, and the fraction is 1/2

In the second term, n=2, and the fraction is 1/3

In general, the n-th term in the sequence will have the fraction 1/(n+1).

Hence, the function f(n) that generates this sequence is 2 + 1/(n+1). This function takes an input of n and outputs the corresponding term in the sequence.

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Our assumption that two consecutive elements of the Fibonacci sequence can be divisible by 13 is false, and the proposition is proved.

We begin with the fact that the Fibonacci sequence is an increasing sequence; that is, each element is greater than the one before it.

The sequence is defined as follows:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169, 63245986, 102334155, 165580141, 267914296, 433494437, 701408733, 1134903170, 1836311903, and so on.

Now, let us prove the proposition by contradiction. Assume that there are two consecutive elements of the Fibonacci sequence that are divisible by 13. Then there must be some integer n such that:

F(n) = 13m, andF(n + 1) = 13p,

where m and p are integers.

Since the Fibonacci sequence is defined recursively by F(n) = F(n-1) + F(n-2), we can obtain an expression for F(n-2) in terms of F(n) and F(n-1):

F(n-2) = F(n) - F(n-1)Since F(n) and F(n-1) are both divisible by 13, their difference must also be divisible by 13.

Therefore, F(n-2) is divisible by 13 as well. However, this contradicts the well-ordering principle, which states that every non-empty set of positive integers has a least element.

Since the Fibonacci sequence is an increasing sequence, there must be some least element k such that F(k) is divisible by 13 but F(k-1) is not. But this means that F(k-2) cannot be divisible by 13, which contradicts our assumption that both F(n) and F(n-1) are divisible by 13.

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Answer:

1.335 kilograms

Step-by-step explanation:

710 grams + 225 grams + 400 grams = 1335 grams

1 kilogram is equal to 1000 grams, so:

1335 grams x (1 kilogram/1000 grams) = 1.335 kilograms

Answer:

answer is 900 cubic meter

Step-by-step explanation:

use formula,

L*W*H/3

15*12*15/3

2700/3

900

The slope of any line parallel to this line would be c) 3/7.

Parallel lines are those lines that are equal distances apart and often of the same length. So, for the given slope where we have parallel lines, we can expect to have lines of the same slope. Thus we can arrive at 3/7.  

Note that parallel lines have the same slope. So, since the first slope is 3/7, we can expect the second to be the same thing.

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Answer: answer D

Step-by-step explanation:

i am pretty sure it is D. not 100%, but like 90%. they are both on the outside of the lines, so that is why i know they are exterior. and, they are on opposite sides, so that makes them alternate.

Suppose $2000 is deposited in a bank account with an annual compound interest rate of 3%. After two years, we will have accumulated 121.80 in interest on your initial 2000 deposit.

Compound interest is, to put it simply, interest that is earned on interest. Compound interest is interest that is earned on both the initial principal and interest that builds up over time in a savings account.

There may be a difference in the timing of when interest is paid out and compounded. For instance, interest on a savings account may be paid monthly but compounded daily. The account balance plus any interest that has accrued but has not yet been paid out are used by the bank to determine your daily interest earnings.

For the above question:

Account Balance = Principal x (1 + interest rate (decimal))^number of the years. With given information this is:  \(2000 (1.03)^2\) = 2,121.80.  So we will earn 121.80 in interest after the 2 years on your original 2000 deposit.

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The phrase "number of values for which a certain condition holds" is referred to as multiplicity. The phrase, for instance, can be used to describe the magnitude of the totient valence function or the frequency with which a given polynomial equation has a root at a specific location.

Let z_0 be a root of a function f, and let n be the least positive integer n such that f^((n))(z_0)!=0. Then the power series of f about z_0 begins with the nth term,

f(z)=sum_(j=n)^infty1/(j!)(partial^jf)/(partialz^j)|_(z=z_0)(z-z_0)^j,

and f is said to have a root of multiplicity (or "order") n. If n=1, the root is called a simple root '

The multiplicity of a member of a multiset in mathematics is the number of times the member appears in the multiset. The multiplicity of a root, for instance, is how many times a given polynomial has a root at a particular point.

It's crucial to understand the concept of multiplicity in order to correctly count without mentioning exceptions (for example, double roots counted twice). Thus, "counted with multiplicity" is used.

This can be highlighted by counting the number of different elements, as in "the number of separate roots," if multiplicity is disregarded. However, multiplicity is always taken into account when a set (as opposed to a multiset) is established, therefore the word "different" is not necessary.

Hence ,Multiplicity means the quality or state of being multiple or various. and

the number of components in a system (such as a multiplet or a group of energy levels)

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Let z_0 be a root of a function f, and let n be the least positive integer n such that f^((n))(z_0)!=0. Then the power series of f about z_0 begins with the nth term,

f(z)=sum_(j=n)^infty1/(j!)(partial^jf)/(partialz^j)|_(z=z_0)(z-z_0)^j,

and f is said to have a root of multiplicity (or "order") n. If n=1, the root is called a simple root '

The multiplicity of a member of a multiset in mathematics is the number of times the member appears in the multiset. The multiplicity of a root, for instance, is how many times a given polynomial has a root at a particular point.

Answer:

Step-by-step explanation:

Step one:

given data

Ryan

number of baseball cards=150

number collected per week= 10

let the number of weeks be x

and the total be y

y=10x+150-----------------1

Sarah

number of baseball cards=200

number collected per week= 5

let the number of weeks be x

and the total be y

y=5x+200------------2

Step two:

Required

the number of weeks where both total will be the same

10x+150=5x+200

10x-5x=200-150

5x=50

divide both sides by 5

x=50/5

x=10 weeks

Answer:

yeah the answer is one of those just pick one

The sum of x and y i.e (x+y) is equal to 23

When two diagonals of a parallelogram bisect each other. Each diagonal bisects the parallelogram into two congruent triangles. The Sum of the square of all the sides of a parallelogram is equal to the sum of the square of its diagonals.

This implies that line uz = wz, and vz= tz

therefore 3y+6= 2x equation 1

since vt = 78

5y-1= 78-(5y-1) equation 2

5y-1= 78-5y+1

collecting like terms,

5y+5y= 78+1+1

10y= 80

divide both sides by 10

y= 80/10

y= 8

substituting 8 for y in equation 1

3×8+6= 2x

24+6= 2x

30= 2x

divide both sides by 2

x= 30/2= 15

therefore the sum of x and y = 15+8= 23

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