Book price $ 60. The book went up in price on the 15th
%.
What is the price of the book after the price increase?

Answer:

Step-by-step explanation:

To determine the convergence or divergence of the series Σ(2n/n!) as n approaches infinity, we can use the Ratio Test or the Root Test.

The Ratio Test states that if the limit of the absolute value of the ratio of consecutive terms of a series is less than 1, then the series converges. Conversely, if the limit is greater than 1 or does not exist, the series diverges.

Let's apply the Ratio Test to the given series:

|2(n+1)/(n+1)! / (2n/n!)| = |2(n+1)/(n+1)! * n!/(2n)| = 2/(n+1).

Taking the limit as n approaches infinity, we have:

lim(n→∞) 2/(n+1) = 0.

Since the limit is less than 1, the Ratio Test implies that the series converges.

Therefore, the series Σ(2n/n!) converges.

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Answer:

The best thing to do here is to put each of these into fractions, with the total (31) as the denominator.

14/31= silver

6/31= black

8/31= copper

3/31= various colours.

As you're looking for the keys that are silver or copper, you've got to add the two denominators together, which gives you 14+8= 22.

This cannot be simplified further, therefore, the probability of choosing either a silver or copper key is 22/31.

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

∠A≅∠X          AB≅XZ

∠B≅∠Z          AC≅XY

∠C≅∠Y          BC≅ZY

ΔABC≅ΔZXY

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

Answer:

The width is \(82m\)

Step-by-step explanation:

------------------------------>>>>

The formula to find the area of a rectangle is \(A=lw\)

We already know the area of the rectangular field which is \(7626m\)

We already know the length is \(93m\)

--------------->>>>

Now let's substitute \(7626\) for \(A\) because that's the area and substitute \(93\) for \(l\) because that's the length. After that, let's solve to find the width.

\(7626=93w\)

Divide both sides by 93 because that's the opposite of multiplication.

\(82=w\)

--------------->>>>

This means that the width of the rectangular field is \(82m\)

Hope this is helpful

Answer:

y=3x+8

Step-by-step explanation:

y-4=3x+5y

+4       +4

y=3x+5y+4

-5y    -5y

-4y=3x+4

+4       +4

y=3x+8

The given relation is not proportional. The charge fore one  1 additional turkey sub: $20/3.

Relationships across two variables that are proportional occur when their ratios are equal.

The question states-

$20 ---> 3 turkey subs

$26 ---->4 turkey subs

For proportional relationship ratio must be equal.

3/20 = 4/26

But 3/20 ≠ 4/26

Thus, the given relation is not proportional.

The charge fore one 1 additional turkey sub: $20/3.

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The complete question is-

a store charges $20 to have 3 turkey subs delivered and $26 to have 4 delivered.

Is the relationship between number of turkey subs delivered and amount charged proportional?

How much does the store charge for 1 additional turkey sub? Answer:

if 40 makes him 30 mins late and 60 makes him 30 mins early then it only would make since that in between both 40 and 60 is 50 and that would make him go on time

mr. earl e. bird leaves his house for work at exactly 8:00 a.m. every morning

when he averages 40 miles per hour, he arrives at his workplace thirty minutes late.

when he averages 60 miles per hour, he arrives thirty minutes early.

at what average speed, in miles per hour, should mr. bird drive to arrive at his workplace precisely on time?

if 40 makes him 30 mins late and 60 makes him 30 mins early then it only would make since that in between both 40 and 60 is 50 and that would make him go on time

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Answer:

hi the correct answer I believe would be 500

Step-by-step explanation:

since it's a 50 out of 50 chance (because it is heads and tails) the only logical way of thinking this through would be half and half

what I did was simply divide 1,000 by 2 to get 500 so there are 500 heads to be expected.

I hope I was any help to this

Answer: its b

Step-by-step explanation: all coins have a heads and tails so that takes out c.

d is just for jokes

a.  a coin in a school problem is not gonna be wieghted.

Answer: 637 m²

Step-by-step explanation:

   We need to find the area of four triangles and one square.

   The square: 169 m²

A = L²

A = (13 m)²

A = 169 m²

   The triangles: 468 m²

-> We have four congruent triangles. I will find the area of two (skipping the "divide by two" part of the formula) and multiply by two to find all four at once.

A = B * H

A = (13 m) * (18 m)

A = 234 m²

-

234 m² * 2 = 468 m²

   Total surface area:

169 m² + 468 m² = 637 m²

Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

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The function checks if the result for the current inputs has already been computed and stored in the `memo` cache. If so, it returns the cached result, otherwise it calculates the result using the recursive definition of the Bessel polynomials and stores the result in the `memo` cache for future use.

Memoization is a technique where we store the results of expensive function calls and return the cached result when the same inputs occur again. Here's a recursive function that uses memoization to calculate the n-th Bessel polynomial at x:

```
memo = {}  # Memoization cache

def B(n, x):
   if n == 0:
       return 1
   elif n == 1:
       return x + 1
   elif (n, x) in memo:
       return memo[(n, x)]
   else:
       result = (2 * n - 1) * x * B(n - 1, x) + B(n - 2, x)
       memo[(n, x)] = result
       return result
```

The function checks if the result for the current inputs has already been computed and stored in the `memo` cache. If so, it returns the cached result, otherwise it calculates the result using the recursive definition of the Bessel polynomials and stores the result in the `memo` cache for future use. This approach avoids redundant calculations and can significantly speed up the computation of Bessel polynomials for large values of n.

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Step-by-step explanation:

I hope this helps...........

Answer:

6.6h

Step-by-step explanation:

The 2 real roots are 3 and 9

Hopes this helps!

Answer:

  x = -3, x = -9

Step-by-step explanation:

The x-intercepts of a parabola are the points where the graph crosses the x-axis.

For the function y = x²+12x+27, the x-intercepts are the x-values that are solutions to y = 0. For each such x-value x=p, the function has a factor (x-p). That means we can find the x-intercepts by putting the equation into factored form.

The factored form of this quadratic can be written as ...

  y = (x +p)(x +q)

Expanding that, we can compare to the original equation:

  y = x² +(p+q)x +pq

The values of p and q will satisfy the relations ...

For integer values of p and q, it generally works well to list the ways the product 27 can be formed. The divisors of 27 are 1, 3, 9, 27, so the number of ways they can be combined is limited:

  27 = 1·27 = 3·9

We note that the sums of these factors are 28 and 12, so we're interested in the factors 3 and 9, whose sum is 12. That is ...

  y = x² +12x +27 = (x +3)(x +9)

The zero product rule tells us the value of y will be zero if and only if at least one of the factors is zero. The x-values that make that true are ...

  x +3 = 0   ⇒   x = -3

  x +9 = 0   ⇒   x = -9

The x-intercepts of the function are x = -9 and x = -3.

Steps:

See attachment.

Description:

The first step is to simplify the equation step by step and to simplify an equation you can first multiplying the factors and use the exponent rules to remove the parentheses. After that you need to combine it a terms. Then you will get your answer.

For more steps and graph see the attachment.

Answer:  =1890x+216

Hope this helps.

Answer:-14

Step-by-step explanation: -14

Answer:

180

Step-by-step explanation:

180 * .2 = 36

20% is the same thing as 1/5 of something, so read the question again,

"36 is 1/5 of what number?"

Multiply 36 by 5 to get 180

Double check yourself by finding 20% of 180

180 * .2 = 36

Hope this helped, queen!

3 such difference triangle are possible when the perimeter of a triangle 12cm. if the lengths of the three sides are all integers (in cm).

Given that,

The perimeter of a triangle 12cm.if the lengths of the three sides are all integers (in cm).

We have to find how many such difference triangle are possible.

We know that,

Perimeter of the triangle is 12cm.

p=12

a+b+c=12

a+b≥c

b+c≥a

So,

a+b+c≥2c

12≥2c

c≤6

So,

a≤6,b≤6,c≤6

We get,

a=6,b=3,c=3

a=5,b=4,c=3

a=4,b=4,c=4

Therefore, 3 such difference triangle are possible when the perimeter of a triangle 12cm. if the lengths of the three sides are all integers (in cm).

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Answer:

To find out what should be subtracted from -5/4 to get -1, we need to solve the equation if you dont know something in math you can always put it as x first.

-5/4 - x = -1

where x is the number that needs to be subtracted.

To solve for x, we have to simplify the left side of the equation:

-5/4 - x = -1

-5/4 + 4/4 - x = -1  (adding 4/4 to both sides)

-1/4 - x = -1

Now, we can isolate x by adding 1/4 to both sides of the equation:

-1/4 - x = -1

-1/4 + 1/4 - x = -1 + 1/4  (adding 1/4 to both sides)

-x = -3/4

Finally, we can solve for x by multiplying both sides by -1:

-x = -3/4

x = 3/4

Therefore, the number that should be subtracted from -5/4 to get -1 is 3/4.

Answer:

N=2

Step-by-step explanation:

3n+2=8

CLT

3n=8-2

3n=6

DBS by 3

3n/3=6/3

N=2

Answer:

1800

Step-by-step explanation:

Answer:

1800 pounds

Step-by-step explanation:

1st year: 2 rabbits

2nd year: 6 rabbits

3rd year: 18 rabbits

18 x 100 = 1800

hope this helps :)

Answer:

moi moi on that beat

Step-by-step explanation:

click this link for more information

https://genius.com/Rick-astley-never-gonna-give-you-up-lyrics

The gradient between (1,3) and (3,11) is 4.

The gradient is basically a degree of inclination. It tells us about the steepness of the line i.e. whether the line is more steeper or less steeper. The other name of gradient is slope. The gradient between two points can be found by using two point slope formula. The two-point slope formula between \((x_1,y_1)\) and \((x_2,y_2)\) is as follows,

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Where m is the gradient. The product of slopes of two perpendicular lines is always 1 and the slopes of parallel lines are equal.

Now, finding the gradient between (1,3) and (3,11) using the two point slope formula,

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Putting the values,

\(m=\frac{11-3}{3-1} \\m=\frac{8}{2} \\m=4\)

Therefore, the gradient between (1,3) and (3,11) is 4.

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Answer:

\( \huge{ \boxed{ \bold{ \tt{ - 5}}}}\)

☪\( \tt{Question} : \)

☥ \( \tt{Step - by - step \: explanation : }\)

☄\( \tt{Solution : }\)

\( \sf{Step \: 1} : \) Assign one of the ordered pairs to be ( x₁ , y₁ ) and another to be ( x₂ , y₂ )

\( \sf{Step \: 2} : \) Substitute values into the slope formula and then simplify :

\( \boxed{ \sf{slope = \frac{y2 - y1}{x2 - x1}}} \)

↦ \( \sf{ \frac{ - 8 - ( - 3)}{1 - 0}} \)

↦ \( \sf{ \frac{ - 8 + 3}{1} }\)

↦ \( \boxed{ \sf{ - 5}}\)

Hence , Our answer is \( \boxed{ \sf{ - 5}}\).

Hope I helped!

Have a wonderful day / night ツ

~TheAnimeGirl ♪

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The university dean randomly selected 200 students and found that 118 of them are receiving financial aid. The % confidence interval for the proportion (p) of students receiving financial aid IS interpreted as a range

To determine the % confidence interval for the proportion (p) of students receiving financial aid, we can use the formula for calculating confidence intervals for proportions.

Assuming a normal distribution and using the sample proportion (p-hat) and sample size (n), we can calculate the standard error and then construct the confidence interval.

The confidence interval provides a range of values within which we can be confident that the true proportion of students receiving financial aid lies.

For example, if the % confidence interval is calculated to be (0.50, 0.66), it means that we can be 95% confident that the true proportion of students receiving financial aid falls between 0.50 and 0.66.

This interval allows the university dean to estimate the range of the proportion of students receiving financial aid based on the sampled data.

It provides a level of confidence regarding the precision of the estimate, indicating the uncertainty associated with the true proportion in the entire student population.

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The given ratio of men to women working for the company is "to". Since the exact ratio is not provided, let's assume the ratio is "x:y". We are also given that there are "z" women working for the company.

To find the total number of employees, we need to determine the number of men working for the company.

Using the given ratio, we can set up the equation:
x/y = z/1

Cross-multiplying, we have:
x = z * y

Now, to find the total number of employees, we add the number of men and women:
Total employees = number of men + number of women
Total employees = x + z

Substituting the value of x from the equation above, we get:
Total employees = (z * y) + z

Simplifying the expression, we have:
Total employees = z * (y + 1)

In conclusion, the total number of employees in the company is z times the sum of the ratio (y+1).

Note: Since the exact ratio is not given, we cannot provide a numerical value for the total number of employees.

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Y = (1/6)*e^5t  is  differential equation .

What exactly does differential equation mean?

An equation that connects one or more unknown functions and their derivatives is known as a differential equation in mathematics.  

                                     Applications typically use functions to describe physical quantities, derivatives to indicate the rates at which those quantities change, and differential equations to define a relationship between the two.

y′′−9y′+26y=e^(5t)

The characteristice equation of the differential equation is : r^2 -9r +26 =0

On solving we get the values of r=4.5 + 2.34i (z1) ,  4.5 - 2.4i(z2)--- (complex roots)

homogeneous solution is: yh = c1e^z1t + c2e^z2t

Plug  Y = Ae^5t in the ODE:

=   25Ae^5t -9*5Ae^5t +26Ae^5t =e^(5t)

25A -45A +26A =1 ;  6A = 1; A =1/6

Y = c1e^z1t + c2e^z2t  is a general solution but we wnata particular solution

So, simply Y = (1/6)*e^5t

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