( - 6x^3 + 5x - 3 ) - ( 2x^3 + 4x^2 - 3x + 1)

Answer:

C=-2

Step-by-step explanation:

Plus 14 to both sides then divide both side by -5

it would be -4 i think

come back and tell me if im wrong

The answer is (B) 1/e.

To find the absolute maximum value of f(x) = ln(x)/x, we need to find the critical points and endpoints of the function and then evaluate f(x) at these points to determine the maximum value.

First, we find the derivative of f(x):

f'(x) = (1/\(x^2\)) * (xln(x) - 1)

Setting f'(x) = 0, we get:

xln(x) - 1 = 0

Solving for x, we get:

x = 1/e

Since f(x) is only defined for x > 0, the only critical point is x = 1/e.

Next, we evaluate f(x) at the critical point and at the endpoints of the domain of the function:

f(1/e) = ln(1/e)/(1/e) = -1/e

f(0+) = lim(x→0+) ln(x)/x = lim(x→0+) (1/x) / 1 = ∞

f(∞) = lim(x→∞) ln(x)/x = lim(x→∞) (1/x) / (1/x) = 1

Since f(x) approaches infinity as x approaches 0+, and f(x) approaches 1 as x approaches infinity, the absolute maximum value of f(x) occurs at x = 1/e, and the maximum value is f(1/e) = -1/e.

Therefore, the answer is (B) 1/e.

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The largest integer that is a divisor of (n+1)(n+3)(n+5)(n+7)(n+9) is 15

Divisor of a Number :  

A Divisor is any number that divides a given number completely or with a reminder. Where a factor, is a divisor that divides the number entirely and leaves no remainder.

Here we have,

(n + 1)(n + 3)(n + 5)(n + 7)(n + 9)  

And n is a positive even integer  

For n = 2 ⇒  (2 + 1)(2 + 3)(2 + 5)(2 + 7)(2 + 9) = (3× 5 × 7 × 9 × 11 )    

For n = 4 ⇒   (4 + 1)(4 + 3)(4 + 5)(4 + 7)(4 + 9) = (5× 7 × 9 × 11 × 13 )

and so on.

From the above calculations,

we can say that (n + 1); (n + 3); (n + 5); (n + 7); (n + 9) are 5 consecutive odd numbers  

In every 5 consecutive odd positive integers,

One of them is always divisible by 3

And one of them is always divisible by 5.

Therefore,

(n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will be divisible by both 3 and 5

As we know product of 3 and 5 = 15

then (n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will also divisible by 15

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The complete question is

What is the largest integer that is a divisor of (n+1)(n+3)(n+5)(n+7)(n+9) for all positive even integers n?  

(A) 3         (B)  5        (C)  11          (D) 15             (E)  165    

The final value of u by solving the equation is 0

What is a single-variable linear equation?

A linear equation is a straight line equation with only one variable. The variable only has the number one as a power. Simple algebraic operations can be used to solve one-variable linear equations, which can take the form of either a x + b = 0 or a x + b = 0.

Given that

14u+6+20u = 13u+6 -----------1

34u+6 = 13u+6 ------------------2

Combine like terms

21u = 0

u = 0

Subtract 13u from both sides in equation 2

21u + 6 = 6

Subtract 6 from both sides

21u = 0

Divide both sides by 21

U=0

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The distribution of the data is typically considered to be skewed to the right if the median is higher than the mean.

So the distribution of the data is typically considered to be skewed to the right if the median is higher than the mean (positively skewed). In other words, the distribution's tail is longer to the right than to the left. Take the following values, for instance, 1, 2, 3, 5, 100, as part of a dataset. This dataset has a mean of 22.2 and a median of 3, with the mean being (1 + 2 + 3 + 5 + 100) / 5 = 22.2. The distribution is positively skewed with a lengthy tail of high values in this instance because the median is significantly lower than the mean. If a few extreme values in the dataset are significantly higher than the remainder of the range, the distribution may be positively skewed.

Therefore, In other words, the distribution's tail is longer to the right than to the left. Take the following values, for instance, 1, 2, 3, 5, 100, as part of a dataset. This dataset has a mean of 22.2 and a median of 3, with the mean being (1 + 2 + 3 + 5 + 100) / 5 = 22.2.

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The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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Thus, the expected number of times we roll the die is 2.213, and the variance is 1.627.

In this case, the probability of rolling a 6 is 1/6, and the probability of not rolling a 6 is 5/6. Since we stop rolling after 10 tries, we need to consider the expected value and variance for a truncated geometric distribution.

The expected number of times we roll the die is given by:

E(X) = Σ [x * P(X=x)], where x ranges from 1 to 10.

For x = 1 to 9, P(X=x) = (5/6)^(x-1) * (1/6).
For x = 10, P(X=10) = (5/6)^9, as we stop rolling after the 10th attempt.

Calculate E(X) using the given formula, and you'll find that the expected number of times we roll the die is approximately 2.213.

For variance, we use the following formula:

Var(X) = E(X^2) - E(X)^2

To find E(X^2), compute Σ [x^2 * P(X=x)] for x from 1 to 10 using the same probabilities as before.

Calculate Var(X) using the given formula, and you'll find that the variance is approximately 1.627.

So, the expected number of times we roll the die is 2.213, and the variance is 1.627.

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Answer:

Only the equation is the function

Answer:

Answer is A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

you you add three dollars and 25 cents plus $1 + 15 cents which is $4.40 and then times 20 will get you $88

77 is the sum of their integers  squares .

What in math is an integer?

Let the numbers be ( n - 1 ), n , ( n + 1 )

according to question

  ( n - 1 ) (n) ( n + 1 ) = 8( n + n - 1 + n + 1 )

  n( n² - 1 ) = 8(3n)

   ( n² - 1 ) = 24

    n²= 25

    n = 5

since n is positive integer n = 5

thus required numbers are 4,5,6

4² + 5² + 6² = 77

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big d jit

dic dic dic dic dic dic dic di cidic idc

The value of y is, \(y=\frac{2\sqrt{6}-6}{5},\:y=\frac{-2\sqrt{6}-6}{5}\)

We have given that,

\(\left(5y+6\right)^2=24\)

We have to determine the value of y,

\(\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\)

Therefore,we get

\(5y+6=\sqrt{24}\)

\(5y+6=2\sqrt{6}\)

\(\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\)

\(5y+6-6=2\sqrt{6}-6\)

\(5y=2\sqrt{6}-6\)

\(\frac{5y}{5}=\frac{2\sqrt{6}}{5}-\frac{6}{5}\)

\(y=\frac{2\sqrt{6}-6}{5}\)

\(y=\frac{2\sqrt{6}-6}{5},\:y=\frac{-2\sqrt{6}-6}{5}\)

Therefore the value of y is,

\(y=\frac{2\sqrt{6}-6}{5},\:y=\frac{-2\sqrt{6}-6}{5}\)

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Answer:

200 in²

Step-by-step explanation:

To find the area, you need to split it into two squares. The upper square would be 10 inches times 10 inches which would give you 100 inches squared. Since both are the same size, you can add both square areas together to give you 200 inches squared.

The solution to the system of equations y = 1.5x - 4 and y = -x  is (1.6,-1.6)

The equations are given as: y = 1.5x - 4 & y = -x

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables. Thus, we can write linear equations with n number of variables

Substitute y = -x in the first equation

-x = 1.5x - 4

Collect like terms

-1.5x - x = -4

Any set of values of x1, x2, x2,…xn which simultaneously satisfies the system of linear equations given above is called a solution of the system. If the system of equations has one or more solutions, the equations are called consistent. Also, if the system of equations does not admit any solution, then the equations are called inconsistent.

This gives

-2.5x = -4

Divide both sides by -2.5

x = 1.6

Substitute x = 1.6 in y = -x

y = -1.6

Hence, the solution to the system of equations is (1.6,-1.6).

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The given Fibonacci sequence ,

b)  First term of the Fibonacci sequence is 8.

c) First term = y-x.

Fourth term = x+y

Fifth term = y+30.

What is Fibonacci Sequence?

 A series in which each number is the sum of the two numbers before it is known as the Fibonacci Sequence. We must specify values for the first two terms in order to complete the Fibonacci Sequence. In the Fibanocci sequence we can find next term by adding previous terms.

Here the given Fourth term = 30 and Fifth term = 49.

Here second and third terms are x and y. Let us take first term as a.

We know that the Fibonacci sequence is sum of previous terms.

The sequence are,

=> a , x , y , 30 ,49 ,...

Here Fourth term = 30

=> second term + third term = 30

=> x+y = 30----->1

Now the fifth term is third term + fourth term = 49

=> y+30 =49

=> y =19.

Put y=19 into 1 then,

=> x+19=30

=> x = 30-19 =11

Now third term is first term+second term = third term

=> a+x =y

=> a+11=19

=> a =19-11 =8.

b) First term of the Fibonacci sequence is 8.

c) Third term = first term+second term

=> y = first term +x

=> First term = y-x.

Fourth term = Second term+third term

=>Fourth term = x+y

Fifth term = third term+fourth term

=> Fifth term = y+30.

Therefore the given Fibonacci sequence ,

b)  First term of the Fibonacci sequence is 8.

c) First term = y-x.

Fourth term = x+y

Fifth term = y+30.

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Note that the  the quotient of the expression is 7a³  + a²b - 3.

The expression can be written this way

(28a⁴ᵃᵇ + 4a²b² - 12ab) / (4ab)

To simplify the expression, we can cancel out common factors in the numerator and denominator.

In this case, we can divide every term by 4ab:

(28a⁴ᵃᵇ / 4ab) + ( 4a²b² / 4ab) - (12ab / 4ab)

Simplifying further, we have:

7a³ + a²b - 3

Thus, we can state that , the quotient of the expression is 7a³ + a²b - 3

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Using Baye's theorem,  the probability that a randomly selected job applicant who tests positive is a drug user is approximately 0.2332, or 23.32%

Let's define the events:

A: Applicant is a drug user

B: Applicant tests positive

We are given the following information:

P(A) = 0.09 (probability that a potential hire is a drug user)

P(B|A) = 0.77 (sensitivity or true positive rate)

P(B|A') = 0.25 (complement of sensitivity, false negative rate)

P(A') = 1 - P(A) = 1 - 0.09 = 0.91 (probability that a potential hire is not a drug user)

P(B|A') = 0.75 (specificity or true negative rate)

We need to find P(A|B), which is the probability that the applicant is a drug user given that they tested positive.

According to Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / P(B)

To calculate P(B), we can use the law of total probability:

P(B) = P(B|A) * P(A) + P(B|A') * P(A')

Substituting the given values:

P(B) = (0.77 * 0.09) + (0.25 * 0.91) = 0.0693 + 0.2275 = 0.2968

Now we can calculate P(A|B):

P(A|B) = (0.77 * 0.09) / 0.2968 = 0.0693 / 0.2968 ≈ 0.2332

Therefore, the probability that a randomly selected job applicant who tests positive is a drug user is approximately 0.2332, or 23.32%.

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Creo que es la A

prueba a traducirla i luego buscalo cual es la repuesta

Answer:

Clyde make 14 package if he uses all of the cards.

Answer:

The Answer is 10 18

Step-by-step explanation:

multiply the numerator and denominator by 2 and you get 10 and 18.

Answer:45

Step-by-step explanation:

The 20th prize is $4400.

It is a sequence where the difference between each consecutive terms is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

First prize = $12,000

Successive prize worth $400 less than the preceding prize.

Now,

We can make an arithmetic sequence.

12,000, 11,600, 11,200, ...

So,

a = 12,000

d = -400

The nth term of an arithmetic sequence.

= a + (n - 1)d

So,

The 20th prize.

= 12,000 + (20 -1)400

= 12,000 - 19 x 400

= 12,000 - 7600

= 4400

Thus,

20th prize = $4400

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Answer:

The cost of a bag is $588.

Step-by-step explanation:

Let's call the cost of a bag x.

Since a pair of shoes costs half the cost of a bag, each pair of shoes costs x/2.

So the cost of 2 bags and 3 pairs of shoes is 2x + 3(x/2) = 2x + (3/2)x = (5/2)x.

According to the problem, 2 bags and 3 pairs of shoes cost $1470, so (5/2)x = 1470.

Dividing both sides by 5/2, we find x = 1470 * 2 / 5 = 588.

Therefore, the cost of a bag is $588.

Answer:

The cost of a bag is $588.

Step-by-step explanation:

Let's call the cost of a bag x.

Since a pair of shoes costs half the cost of a bag, each pair of shoes costs x/2.

So the cost of 2 bags and 3 pairs of shoes is 2x + 3(x/2) = 2x + (3/2)x = (5/2)x.

According to the problem, 2 bags and 3 pairs of shoes cost $1470, so (5/2)x = 1470.

Dividing both sides by 5/2, we find x = 1470 * 2 / 5 = 588.

Therefore, the cost of a bag is $588.

Answer/Step-by-step explanation:

✔️Find BC:

Reference angle = 50°

Opposite = BC

Adjacent = 5 cm

Based on trigonometric ratio, thus:

Tan 50 = BC/5

Multiply both sides by 5

BC = 5 × tan 50

BC = 5.96 cm (to 3 s.f)

✔️Find x:

Reference angle = 38°

Opp = x

Adj = BC = 5.96 cm

Based in trigonometric ratio, thus:

Tan 38 = x/5.96

Multiply both sides by 5.96

x = 5.96 × tan 38

X = 4.66 (3 s.f)

Take into account that the relation in between the number of ears of corn n, and the total cost t, is a proportional relation, that can be written as follow:

t = kn

where k is the consatnt of proportionality.

To calculate k, solve for it inthe previous equation:

k = t/n

then, use any pair of values fro t and n from the table, for instance, t = 1.80 and n = 4 and replace them into the previus expression for k:

k = 1.80/4

k = 0.45

next, replace the previous value of k into the formula t = kn:

t = 0.45n

this is the equation to determine the total cost t, in term of the total number of ears of corn.