The elevation of Sports Authority Field in Denver, Colorado is 5280ft. If this is 275ft higher than seven times the elevation of Lucas Oil Field in Indinapolis, what is the elevation of Lucas Oil Field?

Answer:

Limit=0

Converges

Absolutely converges

Step-by-step explanation:

If [tex]a_n=\frac{2^n n!}{(3n+4)!}[/tex]

then [tex]a_{n+1}=\frac{2^{n+1} (n+1)!}{(3(n+1)+4)!}[/tex].

Let's rewrite [tex]a__{n+1}[/tex] a little.

I'm going to hone in on (3(n+1)+4)! for a bit.

Distribute: (3n+3+4)!

Combine like terms (3n+7)!

I know when I have to find the limit of that ratio I'm going to have to rewrite this a little more so I'm going to do that here. Notice the factor (3n+4)! in [tex]a_n[/tex]. Some of the factors of this factor will cancel with some if the factors of (3n+7)!

(3n+7)! can be rewritten as (3n+7)×(3n+6)×(3n+5)×(3n+4)!

Let's go ahead and put our ratio together.

[tex]a_{n+1}×\frac{1}{a_n}[/tex]

The second factor in this just means reciprocal of [tex]{a_n}[/tex].

Insert substitutions:

[tex]\frac{2^{n+1} (n+1)!}{(3(n+1)+4)!}×\frac{(3n+4)!}{2^nn!}[/tex]

Use the rewrite for (3(n+1)+4)!:

[tex]\frac{2^{n+1} (n+1)!}{(3n+7)(3n+6)(3n+5)(3n+4)!}×\frac{(3n+4)!}{2^nn!}[/tex]

Let's go ahead and cancel the (3n+4)!:

[tex]\frac{2^{n+1} (n+1)!}{(3n+7)(3n+6)(3n+5)}×\frac{1}{2^nn!}[/tex]

Use 2^(n+1)=2^n × 2 with goal to cancel the 2^n factor on top and bottom:

[tex]\frac{2^{n}2(n+1)!}{(3n+7)(3n+6)(3n+5)}×\frac{1}{2^nn!}[/tex]

[tex]\frac{2(n+1)!}{(3n+7)(3n+6)(3n+5)}×\frac{1}{n!}[/tex]

Use (n+1)!=(n+1)×n! with goal to cancel the n! factor on top and bottom:

[tex]\frac{2(n+1)×n!}{(3n+7)(3n+6)(3n+5)}×\frac{1}{n!}[/tex]

[tex]\frac{2(n+1)}{(3n+7)(3n+6)(3n+5)}×\frac{1}{1}[/tex]

Now since n approaches infinity and the degree of top=1 and the degree of bottom is 3 and 1<3, the limit approaches 0.

This means it absolutely converges and therefore converges.

Answer:

946

Step-by-step explanation:

Let :

Amy's stamp = 2437

Maria's stamps = 1347

Let Number of stamps Amy gave to Maria = x

After Giving stamps to Maria ; we have the equation :

Amy's stamps = 2437 - x

Maria's stamps = 1347 + x

(1347 + x) = 3(2437 - x)

1347 + x = 7311 - 3x

x + 3x = 7311 - 1347

4x = 5964

x = 5964 / 4

x = 1491

Number of stamps Amy has in the end :

2437 - 1491 = 946

Answer:

1/6 + 2/6 + 3/6 = 6/6 = 1

1/7 + 2/7 + 4/7 = 7/7 = 1

1/8 + 2/8 + 3/8 = 6/8 = 0.75

1/9 + 2/9 + 3/9 = 6/9 = 2/3 = 0.66  (repeater dot above first 6)

1/10 + 2/10 + 3/10 = 6/10 = 3/5 = 0.6

1/12 + 2/12 + 3/12 = 6/12 = 1/2 = 0.5

All numerators in consecutive form 1, 2, 3 adds up to 6

Where 7/7 as a numerator is easier to work with than 6/7 as 6/7 does not leave a whole number as easy as 7/7 does leave whole number = 1.

We notice just 8 and 9 does not leave to 1 decimal point when adding the first consecutive numerators of that whole.

Where 10.and 12 does leave to 1dp as these numbers are not prime numbers like co prime numbers 7 and 11.

Step-by-step explanation:

Step-by-step explanation:

3.

1.4191919... = 1405/990

4.

√(2/5) and √(1/2)

The value of the money including inflation after 6 years will be $6510.64.

The rate at which prices grow over a specific time period is known as inflation. Inflation is often measured in broad terms, such as the general rise in prices or the rise in a nation's cost of living. But it may also be computed more precisely for some products, like food, or for services, like a haircut, for instance. In any situation, inflation refers to how much more costly the pertinent collection of products and/or services has grown over a predetermined time frame, most frequently a year.

Given that, Inflation is running at 1.1% per year when you deposit $5,000 in an account earning 4.4% compounded continuously.

deposit amount (P) = $ 5000

Rate (r) = 4.4 %

Time (t) = 6 years

Compound continuously

Amount (A)= 5000 e⁰°⁰⁴⁴ˣ ⁶

A = $ 6,510.64098

A = $ 6510.64

Total accumulated money after 6 years = $ 6,510.64

value of money decreases due to inflation

The real value of money after n years with the rate of inflation i = 1.1%

yₙ = A( 1 / (1+i) )ⁿ

y₆ = 6510.64 (1 / ( 1 + 0.011))⁶

y₆ = 6,097.008

Real value of money = $ 6,097.01

Therefore, after 6 years real value of the money including inflation will be $ 6,097.01.

Learn more about inflation here:

https://brainly.com/question/29308595

#SPJ5

Answer:

f(x) = x/8

Step-by-step explanation:

f(x) = y

y = 8x

switch the x and y

x = 8y

solve for y

Answer:

-3

Step-by-step explanation:

Answer: 56 - 42

Step-by-step explanation: She gave 2 to EACH of her 21 students. So 2 * 21 = 42. 56 - 42

Answer:

6111 km/hr

Step-by-step explanation:

Given

Distance travels by plane d=22,000 km

time taken t=3.6 hours

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

Answer:

25 gfstuhfujjjjjgredeetuu

Answer:

It's C, they both cancel each other out

Answer:

6x50=300

Step-by-step explanation:

because math

Answer:

6*50

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

6*5=30*10=300

Work Shown:

cos(angle) = adjacent/hypotenuse

cos(64) = x/28

x/28 = cos(64)

x = 28*cos(64)

x = 12.2743921100941

x = 12.27

Answer:

Uuuzu7ggijjrudidjdiwisiwiwieie

Answer:

7+½ = (7*2+(1))/2=15/2

Step-by-step explanation:

2+½ =5/2 and. (15/2)/(5/2)=3. this means %33.3333

Answer:

Incomplete question, but the concepts of the uniform distribution needed to solve this question are given here.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between a and b minutes.

From here, we get the values of a(smallest value) and b(highest value).

Question of the probabilities:

In the two probability questions, you will get the value of x, and will apply one of the three formulas given above, depending on the question, to find the desired probability.

Answer:

√-2 ≈ 1.41i

Step-by-step explanation:

√-2 = i√2 = i × 1.414.. ≈ 1.41i

Answer: 2 days

Step-by-step explanation:

M   D   W

4    3   12

6    2   12

Answer:

About 34% of the weights are between 3280 grams and 3720 grams.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 3500 grams, standard deviation of 500 grams.

This means that [tex]\mu = 3500, \sigma = 500[/tex]

About 34% of the weights are between what two values?

Between the 50 - (34/2) = 33rd percentile and the 50 + (34/2) = 67th percentile.

33rd percentile:

X when Z has a p-value of 0.33, so X when Z = -0.44.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.44 = \frac{X - 3500}{500}[/tex]

[tex]X - 3500 = -0.44*500[/tex]

[tex]X = 3280[/tex]

67th percentile:

X when Z has a p-value of 0.67, so X when Z = 0.44.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.44 = \frac{X - 3500}{500}[/tex]

[tex]X - 3500 = 0.44*500[/tex]

[tex]X = 3720[/tex]

About 34% of the weights are between 3280 grams and 3720 grams.

9514 1404 393

Answer:

  45

Step-by-step explanation:

Let x and y represent the tens and ones digits, respectively. The 5 times the sum of digits is 5(x+y). The value of the digit-reversed number is (10y+x), so the required relation is ...

  5(x +y) = (10y +x) -9

The other relationship between the digits is given as ...

  4y = 1/2(10x)

A graphing calculator shows the solution to these equations is (x, y) = (4, 5).

The two-digit number is 45.

__

Additional comment

You can solve these equations in any of a variety of ways. Using a graphing calculator to find integer solutions is fast and easy, so is one of my favorites. Here, the coefficients on one equation are not easy multiples of those in the other, so substitution and/or elimination can get messy. In this situation, I like to use the "cross-multiplication" method, which starts with the equations in general form:

From the coefficients of these equations, differences of cross products are formed:

Then the solutions are the solutions to 1/d1 = x/d2 = y/d3:

(x, y) = (4, 5)   ⇒   the number is 45.

__

This method is one of several variations of Cramer's Rule, the general solution of systems of linear equations using matrix methods.

Answer:

You have 500 marbles.

The longest side of the biggest equalateral triangle that you can make with your marbles is 31

Step-by-step explanation:

28 + 4 = 32

So our equation is:

TR(32) - 28

Now find Triangular Number 32: (32 *33)/2=528

528 - 28 = 500

So, we have 500 marbles

Now we need to find the longest side of the biggest equalateral triangle that you can make make with your marbles

Let's go back to 28 + 4 = 32

One row above 32 is 31

So the longest side of the biggest equalateral triangle that you can make with your marbles is 31

Hope this helps!

Answer:

Step-by-step explanation:

B( 3, -3) given the figure

B' ( 3, 3) because the x-axis intersects the mid point between B and B'

A) (x, y) reflected across x-axis becomes ( x, -y)

B) (x, y) reflected across y-axis becomes ( -x, y)

Answer:

the answer to this question is 36.86989°

Answer:

B. How many total customers were at the story today?

Step-by-step explanation:

Option 'B' is not a statistical question because there is not more than one answer.

There is only one answer to this question.

Option 'A,' 'C,' and 'D' are statistical questions because there is more than one answer.

What amounts did each person at the store spend on their purchase?

This question has more than one answer.

How long did each customer spend shopping at the store?

What are the heights of each customer who entered the store?

These questions have more than one answer as well.

Statistical questions are questions that have more than one answer. This means you can collect data.

I, therefore, believe that option 'B' is not a statistical question.

Answer:

7

Step-by-step explanation

v:numero de mi dios  vegetta

Answer:

- 3/4

Step-by-step explanation:

-2 1/2 - (-1 3/4)

Subtracting a negative is like adding

-2 1/2 + (1 3/4)

Get a common denominator of 4

-2 2/4 + 1 3/4

The signs are different so we subtract and take the sign of the larger

2 2/4 - 1  3/4

Borrowing from the 2

1 4/4 + 2/4 - 1 3/4

1 6/4 - 1 3/4

3/4

2 2/4 was larger and it was negative so we add a negative sign

- 3/4

Answer:

p = 28.56

Step-by-step explanation:

Circumference of circle

c = 2πr

Since this is a semicircle the perimeter is half the circumference

p = πr

p = 3.14 * 4

p = 12.56

---------------------------

Triangle

the outer perineter is just the two outer sides

p = 6 + 10

p = 16

-------------------------

total outer perimeter

p = 12.56 + 16

p = 28.56