Write the explicit formula for the following sequence, then generate the first five terms. A1 = 256, r = 0. 25

Answer:

0.419

Step-by-step explanation:

To calculate this, we shall make use of Bernoulli approximation of Binomial distribution

if 20% are defective, then 80% are not defective

Probability of selecting a defective fuse is 20/100 = 0.2

Probability of selecting a non defective one is 0.8

Probability of at least 1 being defective is = 1 - Probability of none being defective

Mathematically that will be;

0.8^8 = 0.168

The above is probability of none defective

So the probability of at least one will be

1 - 0.168 = 0.832

Probability of not more than 1 means;

Probability of none + probability of 1 being defective

We already have probability of none above

Probability of 1 being defective means 8 will be non defective

The probability in this case is;

8 C 1 0.2^1 0.8^7

= 8 * 0.2 * 0.8^7 = 0.336

Add this to the probability of none = 0.336 + 0.168 = 0.504

So the probability that we want to calculate from the question will be;

Probability of at least one defective * probability of not more than one defective

= 0.832 * 0.504 = 0.419

Answer:

.60 I think

I hope you get it right

Answer:

x=−2y+18

Step-by-step explanation:

if you want to graph it then click on the screenshot

(ps tell me if this helped)

Answer:

x-1=y or y+1=x

Step-by-step explanation:

I think thats right,

Answer:

-8

Step-by-step explanation:

m∠3 + m∠5 = 180 (interior angles are supplementary)

-4x + 5 + (-13x + 39) = 180

-4x + 5 -13x +39 = 180

-17x = 180 - 5 - 39

-17x = 136

x = 136/(-17) = -8

Answer:

24

Step-by-step explanation:

ft*2

12*2=24

Answer:

Step-by-step explanation:24

Answer:

0.3

Step-by-step explanation:

When we divide by 10, we want to imagine a decimal point going up a place.

Think of it like this:

03.0

When we divide by 10, the decimal goes up a digit:

0.30 or 0.3

Answer:

It will take 5.33 years for the price of gas to reach $4.8.-

Step-by-step explanation:

Giving the following information:

Present value= $3.7

Future value= $4.8

Growth rate= 5%

To calculate the time required to reach  $4.8, we need to use the following formula:

n= ln(FV/PV) / ln(1+g)

n= ln(4.8 / 3.7) / ln(1.05)

n= 5.33

It will take 5.33 years for the price of gas to reach $4.8.-

The power required to operate the pump is approximately 0.0604 kilowatts

The power required to operate the pump, we need to consider the work done against gravity and the head loss in the system.

First, let's calculate the difference in elevation between the well and the tank:

Elevation difference = Height of the tank - Depth of the well

Elevation difference = 58 m - (-20 m)

Elevation difference = 78 m

Next, let's calculate the total head loss in the system, taking into account the head loss given as 34.3 m:

Total head loss = Elevation difference + Head loss

Total head loss = 78 m + 34.3 m

Total head loss = 112.3 m

Now, let's calculate the flow rate of water through the pipe using the given diameter:

Radius of the pipe = 5 cm / 2 = 2.5 cm = 0.025 m

Cross-sectional area of the pipe = π × (0.025 m)² = 0.00196 m²

Given that the water is pumped at a rate of 4 L/s, which is equivalent to 0.004 m³/s, we can calculate the velocity of water:

Velocity of water = Flow rate / Cross-sectional area

Velocity of water = 0.004 m³/s / 0.00196 m²

Velocity of water ≈ 2.041 m/s

Now, let's calculate the power required to operate the pump using the equation:

Power = (Flow rate × Total head loss) / Pump efficiency

Flow rate = 0.004 m³/s

Total head loss = 112.3 m

Pump efficiency = 75% = 0.75

Power = (0.004 m³/s × 112.3 m) / 0.75

Power ≈ 0.0604 kW

Therefore, the power required to operate the pump is approximately 0.0604 kilowatts.

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Answer:

The partial derivatives are,

w.r.t x

\(\partial z/ \partial x = 1/x\)

And , w.r.t y

\(\partial z/ \partial y= -1/y\)

Step-by-step explanation:

z = In (x/y).

Calculating both partial derivatives (with respect to x and y)

Wrt x,

wrt x, we get,

\(z = In (x/y).\\\partial/ \partial x[z]=\partial/ \partial x[ln(x/y)]\\\partial z/ \partial x = 1/(x/y)(\partial/ \partial x[x/y])\\\partial z/ \partial x = y/(x)(1/y)\\\partial z/ \partial x = 1/x\)

Now,

wrt y,

we get,

\(z = In (x/y).\\\partial / \partial y[z]=\partial / \partial y[ln(x/y)]\\\partial z/ \partial y =(1/(x/y)) \partial/ \partial y [x/y]\\\partial z/ \partial y = y/x(-1)(x)(1/y^2)\\\partial z/ \partial y= -1/y\)

So, we have found both first partial derivatives.

add -7x to the other side so the equation is

y=7x-2

slope is 7

y-int is -2

Answer:

-10-46p

Step-by-step explanation:

-6p-10(1+4p) -> -6p-10-40p -> -10-40p

Answer:

y=-2x-13

Step-by-step explanation:

y=mx+b

3=-2(-8)+b

3=16+b

3-16=b

-13=b

Answer:

A) rm - n is the answer.

hope this helps

Answer:

D

Step-by-step explanation:

rm/rn can be factored into r(m/n) which is what is seen in answer D

Answer:

Answer is in the picture bro.

Step-by-step explanation:

A predetermined formula known as "Functions" that performs computations using specified values inside a particular arrangement or structure.

A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

Thus, a predetermined formula known as "Functions" that performs computations using specified values inside a particular arrangement or structure.

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Census data available at the United States Census Bureau website is an example of public information.

Census data is collected by the government and is intended to provide statistical information about a population. It is considered public information because it is made available to the general public for research, analysis, and decision-making purposes.

The United States Census Bureau collects and publishes census data to ensure transparency and accessibility to a wide range of users, including policymakers, researchers, businesses, and the general public.

This data helps inform various aspects of society, such as planning public services, determining representation, and studying demographic trends. It is important to note that while individual responses to the census are confidential and protected by law, aggregated census data is made public to benefit society as a whole.

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Answer:

\(\large\boxed{3,693}\)

Step-by-step explanation:

Break up the problem into smaller parts:

The total number of digits will be equal to the digits * the amount of numbers.

1 ⇒ 9       Digits each:  1        Amount of #s: 9      Total digits: 1(9) = 9

10 ⇒ 99   Digits each: 2       Amount of #s: 90      Total digits: 2(90) = 180

100 ⇒ 999  Digits each: 3    Amount of #s: 900    Total digits: 3(900) = 2,700

1000 ⇒ 1200  Digits each: 4    Amount of #s: 201   Total digits: 4(201) = 804

Add together all of the parts

9 + 180 + 2,700 + 804

\(\large\boxed{3,693}\)

Hope this helps :)

Samuel's average speed during his morning training is 0.41 miles/minute.

Here we have to find the average speed of Samuel. We can solve this problem by following a few steps.

According to the problem, Samuel was preparing for the triathlon. He did 3 activities every morning; ran for 30 minutes, covered 4.5 miles; swam for 20 minutes, covered 2.3 miles biked for 45 minutes, and covered 9 miles.

We have to recall the formula of average speed as,

average speed = total covered distance/ total time

The total distance which has been covered is,  

The total covered distance is, ( 4.5 + 2.3 + 9 ) = 36.5 miles.

The total time which has been spent is,

The total spent time is, (30+ 20+ 40) = 90 minutes.

Now, we can easily calculate the average speed. Which is (36.5/90) = .41 miles/minute.

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Answer:

Step-by-step explanation:

Opposite angles in a cyclic quadrilateral are supplementary.

  x° = 180° -105°

  x° = 75°

__

The value of the other angle is similarly found:

  w° = 180° -80°

  w° = 100°

__

Additional comment

This result comes from the inscribed angle theorem. That theorem tells you the measure of the inscribed angle is half the measure of the intercepted arc.

The opposite angles of a cyclic quadrilateral intercept the circle at the same two points, dividing the total 360° circle into two parts. Each angle has a measure equal to half its corresponding arc, so the total of the two angles is half the total of the two arcs: 360°/2 = 180°. The angles are supplementary.

For the linear equations:

1. Let the price of one senior citizen ticket be $x and the price of one student ticket be $y. Set up the following system of equations:

7x + 7y = 112

4x + 7y = 103

Solving for x and y:

x = $3

y = $13

Therefore, the price of one senior citizen ticket is $3 and the price of one student ticket is $13.

2. Let the price of one adult ticket be $x and the price of one student ticket be $y. Set up the following system of equations:

3x + 6y = 48

3x + 3y = 30

Solving for x and y:

x = $6

y = $2

Therefore, the price of one adult ticket is $6 and the price of one student ticket is $2.

3. Let the cost of one hosta be $x and the cost of one shrub be $y. Set up the following system of equations:

3x + y = 42

7x + y = 82

Solving for x and y:

x = $10

y = $12

Therefore, the cost of one hosta is $10 and the cost of one shrub is $12.

4. Let the cost of one daylily be $x and the cost of one bunch of ornamental grass be $y. Set up the following system of equations:

x + 5y = 52

5x + 5y = 100

Solving for x and y:

x = $7

y = $9

Therefore, the cost of one daylily is $7 and the cost of one bunch of ornamental grass is $9.

5. Let the cost of one daylily be $x and the cost of one bunch of ornamental grass be $y. Set up the following system of equations:

8x + 6y = 50

x + 6y = 22

Solving for x and y:

x = $2

y = $3

Therefore, the cost of one daylily is $2 and the cost of one bunch of ornamental grass is $3.

6. Let the number of students each van can carry be x and the number of students each bus can carry be y. Set up the following system of equations:

3x + 3y = 183

12x + 5y = 347

Solving for x and y:

x = 21

y = 45

Therefore, each van can carry 21 students and each bus can carry 45 students.

7. Let the cost of one package of sugar cookie dough be $x and the cost of one package of double chocolate cookie dough be $y. Set up the following system of equations:

x + 11y = 138

12x + 8y = 168

Solving for x and y:

x = $6

y = $12

Therefore, the cost of one package of sugar cookie dough is $6 and the cost of one package of double chocolate cookie dough is $12.

8. Let the cost of one bag of windflower bulbs be $x and the cost of one bag of daffodil bulbs be $y. Set up the following system of equations:

2x + 4y = 64

4x + y = 44

Solving for x and y:

x = $8

y = $12

Therefore, the cost of one bag of windflower bulbs is $12 and the cost of one bag of daffodil bulbs is $8.

9. Let the cost of one foot of grass sod be x and the cost of one pot of ivy be y. Then write two equations based on the given information:

12x + 7y = 101

3x + 10y = 116

Solving for x and y:

x = 5

y = 11

Therefore, the cost of one foot of grass sod is $5 and the cost of one pot of ivy is $11.

10. Let the price of one adult ticket be x and the price of one child ticket be y. Then write two equations based on the given information:

4x + 5y = 36

x + y = 8

Solving for x and y:

x = 4.

y = 4.

Therefore, the price of one adult ticket is $4 and the price of one child ticket is $4.

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Answer:

2

Step-by-step explanation

Multiply 16 by 1/8 and you get 2

Answer:

128

Step-by-step explanation:

For every mile, there are 8 signs. (Sign for every 8th of a mile). There are 16 mikes so 8x16=128

I think it's 880,000 as 12 percent of 1 million is 120000 and 1 million-120000 is 880,000

Step-by-step explanation:

MP=$ 1million

Discount%=12%

Then,

SP=MP-dis% of MP

=1 - 12% ×1

=0.88

Hence, Sp is $0.88million

Find the degree of the equation to determine if linear.

Linear

Answer:

50.24 ft

Step-by-step explanation:

The formula for the perimeter of a circle is p = 2 × π × r

Replace r with 8

p = 50.24 ft

I hope this helps! God bless!

Answer:

MB=67.5

Step-by-step explanation:

BP=y, naming

71.5/97.5=22/y

cross multiply

71.5y=2145

y=30

MP-BP=MB

97.5-y=MB

97.5-30=MB

MB=67.5

Answer:

I would buy the 2000 Toyota Tundra. Yes it is the most expensive, but it is the newest so it should require less expense money for problems, it is a manual transmission 6 cylinder so it should get better gas mileage, and it has fewer miles. The rankings of these trucks are not provided, however a Toyota tundra is considered to be a workhorse in the truck. If this is an opinion question, that's my choice.

Step-by-step explanation:

Answer:

Metallurgy is the science that studies how metals work. It involves the extraction of metals from ores, their purification, and their conversion into useful alloys. Metallurgists also study the physical and chemical properties of metals, as well as their behavior under different conditions such as temperature and pressure.

Step-by-step explanation:

Hello,

the answer is "studies of how metals work."

Reason:

the answer is the science that studies how metals work.

If you need anymore help feel free to ask me!

Hope this helps!

~Matthew1756654

Answer:

24

Step-by-step explanation:

dont exaclty have an explanations - its just the calculations

Answer:

tuff

Step-by-step explanation: