what is x? how would i find the value of x?

The sum of the infinite geometric sequence is 3 3/4

From the question, we have the following parameters that can be used in our computation:

The geometric sequence

In the geometric sequence, we have

First term, a = 3/5¹⁻¹

a = 3

Also, we have

Common ratio, r = 1/5

The sum of the infinite geometric sequence is calculated as

Sum = a/(1 -  r)

So, we have

Sum = 3/(1 -  1/5)

Evaluate

Sum = 3 3/4

Hence, the sum of the infinite geometric sequence is 3 3/4

Read more about sequence at

https://brainly.com/question/30499691

#SPJ1

Answer:

A rotation followed by a translation

9514 1404 393

Answer:

  b)  12.2 ft

Step-by-step explanation:

Based on the attached and the answer choices, it looks like we're to assume the pole is leaning away from the sun. Of course, we must assume the angle the pole makes with the ground and the angle of elevation are in the same plane.

The problem can be solved using the law of sines. In the attached, we have ...

  AD/sin(O) = OA/sin(D)

The angle at D is 180° -45° -75° = 60°, so this can be written as ...

  AD = sin(45°)(15 ft)/sin(60°)

  AD ≈ 12.247 ft

The pole is about 12.2 feet long.

Answer:

55

Step-by-step explanation:

The sum of the squares of the first five natural numbers.

Natural numbers are the positive integers (whole numbers) 1, 2, 3, etc., and sometimes zero as well.

Therefore:

(1^2) + (2^2) + (3^2) + (4^2) + (5^2)

1 + 4 + 9 + 16 + 25

55

Mark as brainliest if helped thanks!!!

Factoring is an important process that helps us understand more about our equations. Through factoring, we rewrite our polynomials in a simpler form, and when we apply the principles of factoring to equations, we yield a lot of useful information. There are a lot of different factoring techniques.

187.6miles

Step-by-step explanation:

blue ridge parkway is 469miles

sam drove 2/5 of the parkway

2/5×469

=469×2/5

938/5

187.6miles

The equation will be t = 3s where t is total cost and s is number of snow cones. this can be find out be relationship of number of snow cones and total cost in table .

In given table :

Number of snow cones               Total cost

2                                                      6

6                                                      12

5                                                      15

From above table, we can relate

1st case :
number of snow cones = 2 and total cost = 6

i.e. 3 times of number of cones.

2nd case:

number of cones = 4 and total cost = 12

i.e. 3 times the number of cones.

3rd case :

number of cones = 5 and total cost = 15

i.e. 3 times the number of cones.

So, we see same pattern is repeated in all.

Then equation will be t = 3s where t = total cost , s = number of snow cones.

Learn more about equation using link :

https://brainly.com/question/25976025

#SPJ1

The graph of the given function is attached below.

We are given a function. A function connects an input and an output. It is analogous to a machine with an input and an output. And the output is somehow related to the input.

The coordinates of several points are given. We need to graph the function by plotting the ordered pairs (0, 0), (10, 125), (20, 250), (30, 375), and (40, 500).

The function is a straight line. A straight line is a one-dimensional figure with an infinite length. It is made up of an infinite number of points connected on both sides of a point. We also need to draw the line through the points. The graph is attached below.

To learn more about functions, visit :

https://brainly.com/question/5975436

#SPJ1

Answer:

50%

Step-by-step explanation:

Answer:

50 present

Step-by-step explanation:

Lamont's total earnings this week come to be $480.

Lamont spends $120 on groceries and this is 25% of the money he earns this week.

This means, $120 = 25% of the total earnings of Lamont

Suppose total earnings =x

The percentage is the value per hundred.

25% of x= \(\frac{25*x}{100}=\frac{x}{4}\)

Given \(\frac{x}{4} =120\)

So, \(x=480\)

So, his total earnings is $480.

Thus, Lamont's total earnings come to be $480.

To get more about the percentage visit:

https://brainly.com/question/24304697

Answer:

42

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

as 2.5 × 10-^5 is 250000 and b is 3100 and if you do 10-5 + 10-3 it is 10-8 which will give u 0.0008cm I think if my calculations r correct

Answer:

a

Step-by-step explanation:

just did it and got right

Answer:

35

Step-by-step explanation:

47-12=35

TU is parallel to MN.

Given that the slope of a line MN is -3, we need to find a line which is parallel to the MN.
So we know that the parallel lines are having equal slope so the line which is parallel to the MN it must have slope of -3.

Therefore,

Considering the line TU, find the slope = y₂-y₁ / x₂-x₁

= 10-1 / 5-8 = -9/3 = -3

Since, the slope of the line TU is -3 therefore we can say the lines TU and MN are parallel liens.

Hence TU is parallel to MN.

Learn more about slopes, click;

https://brainly.com/question/3605446

#SPJ1

Answer:

£50-£y or 50-y

Step-by-step explanation:

remaining = initial - taken

remaining = 50 - y

Answer:8:39

Step-by-step explanation: multiply 4 1/6 by 12 and you would get 50 in this case it would be 50 minutes later. so if you add 11 to get to 8 you would be at 8:00 and you would be left with 39 minutes left so you take the 39 minutes and combine that with the 8:00 and get 8:39 as your answer.

To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

For more such questions on future value

https://brainly.com/question/24703884

#SPJ8

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

For more information on the Perimeter of the Rectangle, click:

https://brainly.com/question/13757874

Answer:

D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

It is a double angle identity.

sin2x = 2sinxcosx

Answer: 2sinxcosx

Step-by-step explanation:

Answer:

Arithmetic, common difference is -11

Step-by-step explanation:

19, 8, -3, -14

common difference = d = 8 - 19 = -11

-3 - 8 = -11

-14 - (-3) = -11

Arithmetic, common difference is -11

◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦

                             \(HELLO! :)\)

Given:

The equation of parallel line is \(y=-\dfrac{1}{4}x+5\).

Required line passes through (2,-3).

To find:

The equation of line.

Solution:

We have,

\(y=-\dfrac{1}{4}x+5\)

On comparing this equation with \(y=mx+b\), where m is slope, we get

\(m=-\dfrac{1}{4}\)

Slope of two parallel lines are always same. So, slope of required line is \(m=-\dfrac{1}{4}\).

The required line passes through the point (2,-3) having slope \(m=-\dfrac{1}{4}\), so the equation of line is

\(y-y_1=m(x-x_1)\)

\(y-(-3)=-\dfrac{1}{4}(x-2)\)

\(y+3=-\dfrac{1}{4}(x)-\dfrac{1}{4}(-2)\)

\(y+3=-\dfrac{1}{4}(x)+\dfrac{1}{2}\)

Subtracting 3 from both sides, we get

\(y=-\dfrac{1}{4}(x)+\dfrac{1}{2}-3\)

\(y=-\dfrac{1}{4}(x)+\dfrac{1-6}{2}\)

\(y=-\dfrac{1}{4}(x)-\dfrac{5}{2}\)

Therefore, the equation of required line is \(y=-\dfrac{1}{4}(x)-\dfrac{5}{2}\).

The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.

To determine the time interval of the water in the pool the following is carried out.

At 0 hour, the water is at the level of = 40 gallons

At 1 hour, the water decreased to = 25 gallons.

At 2 hours, the water decreased to = 10 gallons.

The water remained at a constant level till 4 hours.

Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.

Learn more about interval here:

https://brainly.com/question/30460486

#SPJ1

Step-by-step explanation:

(x-2)^2 + (y-9)^2   = r^2

this is of the form fora circle with center  h,k and radius r

(x-h)^2 + (y-k)^2 = r^2

for the equation given   center =   2, 9    and radius = r

Answer:

a. P(X ≤ 5) = 0.999

b. P(X > λ+λ) = P(X > 2) = 0.080

Step-by-step explanation:

We model this randome variable with a Poisson distribution, with parameter λ=1.

We have to calculate, using this distribution, P(X ≤ 5).

The probability of k pipeline failures can be calculated with the following equation:

\(P(k)=\lambda^{k} \cdot e^{-\lambda}/k!=1^{k} \cdot e^{-1}/k!=e^{-1}/k!\)

Then, we can calculate P(X ≤ 5) as:

\(P(X\leq5)=P(0)+P(1)+P(2)+P(4)+P(5)\\\\\\P(0)=1^{0} \cdot e^{-1}/0!=1*0.3679/1=0.368\\\\P(1)=1^{1} \cdot e^{-1}/1!=1*0.3679/1=0.368\\\\P(2)=1^{2} \cdot e^{-1}/2!=1*0.3679/2=0.184\\\\P(3)=1^{3} \cdot e^{-1}/3!=1*0.3679/6=0.061\\\\P(4)=1^{4} \cdot e^{-1}/4!=1*0.3679/24=0.015\\\\P(5)=1^{5} \cdot e^{-1}/5!=1*0.3679/120=0.003\\\\\\P(X\leq5)=0.368+0.368+0.184+0.061+0.015+0.003=0.999\)

The standard deviation of the Poisson deistribution is equal to its parameter λ=1, so the probability that X exceeds its mean value by more than one standard deviation (X>1+1=2) can be calculated as:

\(P(X>2)=1-(P(0)+P(1)+P(2))\\\\\\P(0)=1^{0} \cdot e^{-1}/0!=1*0.3679/1=0.368\\\\P(1)=1^{1} \cdot e^{-1}/1!=1*0.3679/1=0.368\\\\P(2)=1^{2} \cdot e^{-1}/2!=1*0.3679/2=0.184\\\\\\P(X>2)=1-(0.368+0.368+0.184)=1-0.920=0.080\)

Answer:

A because there isnt a mode, hope this helps\

The Trapezoidal rule formula is given to be:

The question gives:

Therefore, divide the interval into n = 3 subintervals of length 1/3 with the following endpoints:

Evaluate the function at the endpoints:

Sum up the calculated values and multiply by Δx/2:

Therefore, the answer will be:

1. The percentage of maize flour is given as 16.7 %

2. The common ratio of the GP is r = 1.5.

1. We have to set up equation

60x + 90(1 - x) = 85

60x + 90 - 90x = 85

now we have to solve for the value of x

-30x = -5

x = 5 / 30

x = 0.167

Hence percentage of maize flour is given as 16.7 %

2. a + ar = 20 (1)

ar + ar^2 = 30 (2)

We can rearrange equation (1) to get an expression for a:

a = 20 / (1 + r)

Now, we can substitute a into equation (2) to get an equation only in terms of r:

\(20r / (1 + r) + 20r^2 / (1 + r) = 30\\20r + 20r^2 = 30(1 + r)\\20r + 20r^2 = 30 + 30r\\20r^2 - 10r - 30 = 0\\2r^2 - r - 3 = 0\)

Solving this quadratic equation, we get:

We have two solutions, r = 1.5 and r = -1. But since the GP is increasing, we discard the negative solution. Therefore, the common ratio of the GP is r = 1.5.

Read more on common ratio here:https://brainly.com/question/1509142

#SPJ1