PLSS HELP MEE I DONT UNDERSTAND THESE STUFF

The number of ways can arrange the songs on the CD will be 3,628,800.

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

Suppose Allen is going to burn a compact disk (CD) that will contain 10 songs.

Then the number of ways can arrange the songs on the CD will be given by 10 factorial.

⇒ 10!

⇒ 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

⇒ 3,628,800

Thus, the number of ways can arrange the songs on the CD will be 3,628,800.

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Answer:

1.45

Step-by-step explanation:

1.45 is already rounded to the nearest hundredth..

Answer:

1.45 (no need to round)

Step-by-step explanation:

When looking at this question we can clearly see that there are only 2 numbers behind the decimal.

We know that the number closet to the decimal is the tenths place.

And that the number second closet to the decimal is the hundredths place.

And that the number third closet to the decimal is the thousandths place.

Since there is no thousandths place we can't round the 5 up.

Which is why your answer is 1.45

The graph will cross the x-axis if the multiplicity of the real root is odd.

What is polynomial?

In arithmetic, a polynomial is an expression consisting of indeterminates and coefficients, that involves solely the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

Main body:

For polynomials, the graph will cross the x-axis if the multiplicity of the real root is odd, and just touch the x-axis if the multiplicity of the real root is even. (The multiplicity of the root is the number of times it occurs as a root)

(a) y=(x+1)^2(x-2) The graph crosses at x=2 (multiplicity 1) but touches at x=-1 (mulitplicity 2)

(b) y=(x-4)^3(x-1)^2 The graph crosses at x=4 (multiplicity 3) but touches at x=1 (m=2)

(c) y=(x-3)^2(x+4)^4 The graph touches at x=3 and x=-4 as the multiplicities are both even.

The graphs: (a) black, (b) red, (c) green

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Answer:

3x^2 + 20x + 12 is (3x + 2)(x + 6)

Step-by-step explanation:

To factor the trinomial 3x^2 + 20x + 12, we look for two binomials in the form (ax + b)(cx + d) that multiply together to give the trinomial.

We can start by looking for factors of 3x^2, which are 3x and x. Then, we look for factors of 12, which are 1, 2, 3, 4, 6, and 12. We need to find a combination of these factors that will give us 20x when combined.

The factors of 12 are:

1, 2, 3, 4, 6, 12

We can try different combinations to see which one works:

(3x + 4)(x + 3) = 3x^2 + 9x + 4x + 12 = 3x^2 + 13x + 12

(3x + 6)(x + 2) = 3x^2 + 6x + 12x + 24 = 3x^2 + 18x + 24

(3x + 12)(x + 1) = 3x^2 + 3x + 12x + 12 = 3x^2 + 15x + 12

(3x + 2)(x + 6) = 3x^2 + 18x + 2x + 12 = 3x^2 + 20x + 12

From the combinations we tried, we see that (3x + 2)(x + 6) gives us the correct combination of factors. Therefore, the factored form of 3x^2 + 20x + 12 is (3x + 2)(x + 6).

Answer:

7(a+2b)

Step-by-step explanation:

To factor an expression, you want to find the greatest common factor (GCF). I know that 7 can go into both 14 and 7, so my GCF would be 7. If I divide both 7a and 14b by 7, I get a and 2b. This means that my answer would be 7(a+2b) as that simplifies to 7a+14b. Hope that was helpful!  

Answer:

2(7b + a)

Step-by-step explanation:

to factorize u should take the hcf of both number and put it outside the bracket. if u solve it u can see that 2(7b + a) also equals to 14b + 7a when u use distributive property

i hope this helps

The probability that Antoine's marble will also be green would be = 3/13

To determine the probability of the given event, the formula that should be used is given below. That is;

Probability = possible outcome/sample space.

The sample space = 4+7+9+6 = 26 marbles.

The number of green marbles = 6

The probability of choosing green marbles = 6/26 = 3/13

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The Fundamental Theorem of Algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. This theorem is important as it provides a way to prove the existence of solutions to polynomial equations and provides an analytical tool to find the exact location of the solutions.

This theorem is also known as the algebraic version of the Intermediate Value Theorem as it states that if a polynomial is continuous on a closed interval, then it must take on all values between its maximum and minimum.

The theorem can be easily proven by considering a single-variable polynomial of degree n and transforming it into a polynomial of degree n−1 with the same roots. By repeating this process, the polynomial can be reduced to a constant and hence, it must have at least one root.

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The converted number is 4248, which matches the result obtained using division-remainder method or subtraction.

To convert 310410 to base 9, we can use division-remainder method.

Step 1: Divide 3104 by 9. The quotient is 344 and the remainder is 8. Write down the remainder (8) as the rightmost digit of the converted number.

Step 2: Divide 344 by 9. The quotient is 38 and the remainder is 2. Write down the remainder (2) to the left of the previous remainder.

Step 3: Divide 38 by 9. The quotient is 4 and the remainder is 2. Write down the remainder (2) to the left of the previous remainder.

Step 4: Divide 4 by 9. The quotient is 0 and the remainder is 4. Write down the remainder (4) to the left of the previous remainder.

Therefore, the converted number is 4248.

Alternatively, we could also use subtraction method as follows:

Step 1: Find the largest power of 9 that is less than or equal to 3104. This is 9^3 = 729.

Step 2: Divide 3104 by 729. The quotient is 4 and the remainder is 368. Write down the quotient (4) as the leftmost digit of the converted number.

Step 3: Find the largest power of 9 that is less than or equal to 368. This is 9^2 = 81.

Step 4: Divide 368 by 81. The quotient is 4 and the remainder is 64. Write down the quotient (4) to the right of the previous digit.

Step 5: Find the largest power of 9 that is less than or equal to 64. This is 9^1 = 9.

Step 6: Divide 64 by 9. The quotient is 7 and the remainder is 1. Write down the quotient (7) to the right of the previous digit.

Step 7: The remainder is 1, which is the final digit of the converted number.

Therefore, the converted number is 4248, which matches the result obtained using division-remainder method.

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Answer:

554,000

Step-by-step explanation:

that is the answer

Emma earns $554,064.80  in total in the first 11 years of her career

We are to determine the future value of $39,000 each year for 11 years given the growth rate of 5%

The formula for calculating future value:

FV = P (1 + r)^n

Where :

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

First year =  $39,000

Second year = 39,000 x (1.05) = $40,950

Third year = 39,000 x (1.05)^2 = $42,997.50

Fourth year = 39,000 x (1.05)^3 = $45,147.38

Fifth year = 39,000 x (1.05)^4 = $47,404.75

Sixth year = 39,000 x (1.05)^5 = $49,774.99

seventh year = 39,000 x (1.05)^6 = $52,263.74

eighth year = 39,000 x (1.05)^7 = $54,876.93

ninth year = 39,000 x (1.05)^8 = $57,620.78

tenth year = 39,000 x (1.05)^9 = $60,501.82

eleventh year = 39,000 x (1.05)^10 = $63,526.91

Sum of the earnings for the first eleven years = $554,064.80

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Answer:

$282.5

Step-by-step explanation:

$7.50 * 3= $22.5

$22.5 is the total money that is charged from Javier's bank account.

Subtracting that from his $305, we get:

$305 - $22.5 = $282.5

Therefore, Javier has $282.5 in his bank account at the end of three months.

Hello 928747!

So Javier has $305 to begin with but his bank charges him $7.50 if he has less than $500 in his account.

305 < 500

So, since he has less than $500 he will lose $7.50

305 - 7.50 = 297.50

So after they take $7.50, he will have $297.50

but he had less than $500 for 3 months so they would take x 3 more than $7.50

7.50 x 3 = 22.50

305 - 22.50 = 282.50

After three months, Javier will have $282.50

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B. No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

The Central Limit Theorem (CLT) is a fundamental concept in statistics that states that as the sample size increases, the sampling distribution of the sample means will approach a normal distribution. However, this is only true if certain conditions are met, one of which is having a large enough sample size.
The CLT states that the sampling distribution of x will be approximately normally distributed if the sample size is large enough (usually greater than 30). If the sample size is small, the sampling distribution may not be normally distributed. In such cases, other statistical techniques like the t-distribution should be used.
Furthermore, the CLT assumes that the population being sampled is not necessarily normally distributed, but it does require that the population has a finite variance. This means that even if the population is not normally distributed, the sampling distribution of x will still be approximately normal if the sample size is large enough.
In conclusion, the answer is B, as the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

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Answer:

BEA and AED are supplementary angles  whose sum is 180°

Step-by-step explanation:

complete question is:

Consider rectangle ABCD with diagonals BD and AC  intersecting at E.

Which is true about the angle relationships in the  rectangle? Check all that apply.

Answer:

it is abd

Step-by-step explanation:

The wide of the street from building a to building b is 18.32m

The Pythagoras theorem states that if a triangle is right-angled then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The three sides of a triangle are collectively called Pythagoras triples.

The formula is measured as:

c²= a²+ b²

Where

'c' = hypotenuse of the right triangle

'a' and 'b' are the other two legs.

First, let's consider △ADC,

AD²+AC²=CD²

12²+AC²=16²

AC²=256−144

AC=10.58 m

Again consider △BEC,

EC²=BC²+BE²

16²=14²+BC²

256−196=BC²

BC=7.745m

Width of the road= AC+BC = 10.58+7.74=18.32m

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Answer:

C.

Step-by-step explanation:

The transformation f(x) ---> a f(x) stretches the graph  of f(x) vertically by a factor a.

The point (1, 1) on f(x) transforms to  (1,9) on g(x).

This is a vertical transformation  of factor 9, so g(x)  = 9f(x)

= 9x^2  or (3x)^2.

The minimum number of states an equivalent NFA might have is n, while the maximum number of states is 2^n. However, while an NFA with 2^n states is always possible, it may not be the most efficient representation of the language recognized by the DFA.

The minimum number of states an equivalent NFA might have is n. This is because every DFA can be viewed as a special case of NFA, where each state has only one outgoing transition for each possible input symbol.

Therefore, we can create an equivalent NFA by simply replacing each transition of the DFA with a set of transitions, where the set contains all possible transitions that could be taken in that state for a given input symbol. This NFA will have n states, one for each state of the original DFA.

On the other hand, the maximum number of states an equivalent NFA might have is 2^n. This is because each state of an NFA can have multiple outgoing transitions for the same input symbol, leading to multiple possible paths through the automaton for a given input string.

Therefore, we can create an NFA with 2^n states by creating an NFA that has one state for each subset of the states of the original DFA. Each state in the new NFA represents a set of states from the original DFA that could be reached by following any sequence of transitions for a given input string.

It is worth noting that while an NFA with \(2^n\) states can always be constructed to be equivalent to a given minimized DFA, it may not be the most efficient representation of the language recognized by the DFA. In practice, there are often more efficient ways of constructing equivalent NFAs with fewer states.

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Answer:

!

Step-by-step explanation:

Answer:

0.58 I think because absolute value is positive

Answer:

B

Step-by-step explanation:

(a) The interval on which f is increasing: (0, ∞)

The interval on which f is decreasing: (0, 1)

(b) Local minimum: At x = 1, f(x) has a local minimum value of -1.

There is no local maximum value.

(c) Inflection point: At x ≈ 0.293, f(x) has an inflection point.

The function f(x) = x^2 - x - ln(x) is a quadratic function combined with a logarithmic function.

To find the interval on which f is increasing, we need to determine where the derivative of f(x) is positive. Taking the derivative of f(x), we get f'(x) = 2x - 1 - 1/x. Setting f'(x) > 0, we solve the inequality 2x - 1 - 1/x > 0. Simplifying it further, we obtain x > 1. Therefore, the interval on which f is increasing is (0, ∞).

To find the interval on which f is decreasing, we need to determine where the derivative of f(x) is negative. Solving the inequality 2x - 1 - 1/x < 0, we get 0 < x < 1. Thus, the interval on which f is decreasing is (0, 1).

The local minimum is found by locating the critical point where f'(x) changes from negative to positive. In this case, it occurs at x = 1. Evaluating f(1), we find that the local minimum value is -1.

There is no local maximum in this function since the derivative does not change from positive to negative.

The inflection point is the point where the concavity of the function changes. To find it, we need to determine where the second derivative of f(x) changes sign. Taking the second derivative, we get f''(x) = 2 + 1/x^2. Setting f''(x) = 0, we find x = 0. Taking the sign of f''(x) for values less than and greater than x = 0, we observe that the concavity changes at x ≈ 0.293. Therefore, this is the inflection point of the function.

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This is the formula for circumference of circle

Answer:

Step-by-step explanation:

The Mean Value Theorem says that for continuous and differentiable function f(x) on the interval ( a, b ) there is number c ∈ ( a, b ) that

f'(c) = \(\frac{f(b)-f(a)}{b-a}\) ....... (1)

~~~~~~~~~~~~~~~~

f(5) = 44

f(0) = - 1

5 - 0 = 5

f'(x) = 2x + 4 ⇒ f'(c) = 2c + 4

2c + 4 = \(\frac{44+1}{5}\)

2c + 4 = 9 ⇒ c = \(\frac{5}{2}\) (D).

Given:

The given equation is,

Required:

Solve for x.

Answer:

Let us solve the given equation for x.

Final Answer:

The value of x is,

The best description about the sampling distribution of means for the student's sample is mu x = 45, sigma x = 3.75, shape of distribution unknown.

Sampling distribution is defined as the probability distribution of a statistical measure which is got by the repeated sampling of a specific population.

Given that,

μ = 45 minutes and σ = 15 minutes

Sampling distribution of means for the student's sample is :

μₓ = μ = 45

σₓ = σ / √n, where n is the sample size.

σₓ = 15 / √(16) = 15 / 4 = 3.75

Now since the sample size 16 which is less than 30, shape of the distribution is unknown.

Hence the sampling distribution is, μₓ = 45, σₓ = 3.75, and the shape of distribution is unknown.

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Answer:

20 miles

Step-by-step explanation:

She ran 20miles, at the same point she passed her friend

There are six possible interactions in a 2 × 3 factorial ANOVA. The correct option is (d) 6.

In a 2 × 3 factorial ANOVA, there are two factors, each with two levels and three levels, respectively. The number of interactions that can be observed in a factorial ANOVA is determined by the product of the number of levels of each factor.

In this case, the first factor has two levels, and the second factor has three levels.

Therefore, the number of possible interactions is given by multiplying the number of levels of the first factor by the number of levels of the second factor: 2 × 3 = 6.

Each interaction represents a unique combination of the levels of the two factors.

For example, one interaction might represent the effect of the first factor at the first level interacting with the second factor at the first level, while another interaction might represent the effect of the first factor at the second level interacting with the second factor at the third level, and so on.

Therefore, the correct answer is d. 6, as there are six possible interactions in a 2 × 3 factorial ANOVA.

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There are 7 months in the year that have thirty-one days.

These months are January, March, May, July, August, October, and December.

There are seven months in the Gregorian calendar that have thirty-one days: January, March, May, July, August, October, and December.

This pattern of months with 31 days followed by months with fewer days repeats throughout the year.

This pattern was established by the Roman calendar, which had ten months totaling 304 days in a year.

The months of January and February were later added by King Numa Pompilius to align the calendar with the lunar year.

The months of January and February initially had 29 and 28 days respectively, but in 45 BC, Julius Caesar added one day to January and one day to August, which was originally a 30-day month, to make them both 31-day months.

In the Gregorian calendar, which is the most widely used calendar in the world, January, March, May, July, August, October, and December all have 31 days.

The remaining five months have fewer days, with February having 28 days most of the time, and 29 days in a leap year.

Knowing the number of days in each month is important for various reasons, such as planning events, scheduling appointments, and calculating pay periods.

There are several mnemonics used to remember the number of days in each month, such as "30 days hath September, April, June, and November, all the rest have 31, except February, with 28 days clear, and 29 in each leap year."

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Answer: Width = 6 ft, length = 18 ft

Step-by-step explanation:

If the width is w, then the length would be 3w.

3 * 3w * w = 324

9w^2 = 324

w^2 = 36, since w is positive it has to be 6.

So, the width = 6 and the length = 18.

Answer:

-6a - 15

Step-by-step explanation:

Just distribute

Answer:

x = -2

Step-by-step explanation:

-11x + 14 = 36

-11x = 36 - 14

-11x = 22

x = 22/-11

x = -2

Answer:

-2

Step-by-step explanation:

1. Subtract 14 from both sides.

2. Simplify 36−14 to 22.

3. Divide both sides by -11.

4. Simplify 22/11 to 2.