how to convert 4m to cm?

The function h(0) when evaluated is 3

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

h(n) = 3(2)^n

Given that

h(0)

This means that

n = 0

Substitute the known values in the above equation, so, we have the following representation

h(0) = 3(2)^0

Evaluate

h(0) = 3

Hence, the value is 3

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One ream of paper refers to a standardized quantity of paper that typically consists of 500 sheets of paper of a specific size and weight.

A ream of paper is a commonly used quantity in the paper industry and refers to a standardized amount of paper. A ream usually consists of 500 sheets of paper of a specific size and weight. The size and weight of the paper may vary depending on the intended use, but the most common size for a ream of printer paper is 8.5 x 11 inches, also known as "letter size." One ream of paper is often used as a baseline for pricing and ordering paper products. For example, if you were to order "10 reams of paper," you would receive 5,000 sheets of paper.

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Therefore, the n-th term of the sequence is 19 - 2n.

An arithmetic sequence is a sequence of numbers in which each term after the first is obtained by adding a constant value to the previous term. This constant value is called the common difference of the arithmetic sequence. For example, the sequence 2, 5, 8, 11, 14, ... is an arithmetic sequence with a common difference of 3, since each term after the first is obtained by adding 3 to the previous term.

The nth term of an arithmetic sequence can be expressed using the following formula:

an = a1 + (n - 1)d

where an is the nth term of the sequence, a1 is the first term, n is the number of the term, and d is the common difference.

The sum of the first n terms of an arithmetic sequence can also be calculated using the formula:

Sn = n/2(2a1 + (n - 1)d)

where Sn is the sum of the first n terms, a1 is the first term, n is the number of terms, and d is the common difference.

Here,

The first term of the sequence is 17 and the common difference between consecutive terms is -2 (i.e. subtracting 2 from the previous term to get the next term). So, we can write the n-th term of the sequence as:

a_n = 17 + (n-1)(-2)

Simplifying this expression, we get:

a_n = 19 - 2n

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The complete statement is -

"to paste a data range so that column data appears in rows and row data appears in columns, you can transpose the data using the paste list arrow".

In statistics, the range is the spread of your data from the lowest to the highest value in the distribution.

Given is to complete the statement as -

"to paste a data range so that column data appears in rows and row data appears in columns, you can _____ the data using the paste list arrow".

The complete statement is -

"to paste a data range so that column data appears in rows and row data appears in columns, you can transpose the data using the paste list arrow".

Therefore, the complete statement is -

"to paste a data range so that column data appears in rows and row data appears in columns, you can transpose the data using the paste list arrow".

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The negative solution of the statement is -1

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

6 times a number is 7 less than the square of that number

When represented as an equation, we have

6x = x^2 - 7

So, we have

x^2 - 6x - 7 = 0

Factorize

x^2 + x - 7x - 7 = 0

This gives

(x + 1)(x - 7)

Solve for x

x = -1 and x = 7

So, the negaive solution is -1

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The value which is converted from inches to feet representing the length is given by 38 inches is equal to 3.1667 feet.

Formula which relates the inches and feet is equal to  :

1 inch is equal to 0.0833333 feet.

Now Substitute the value 38 inches which needs to convert  into another unit of length feet we get,

1 inch = 0.0833333 feet

⇒ 38 inches = ( 38 ) × ( 0.0833333 ) feet

⇒ 38 inches = 3.1666654 feet.

⇒ 38 inches =  3.1667 feet ( round upto the four decimal places )

Therefore, the converted value from inches to feet  for the 38 inches is equal to 3.1667 feet.

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The value  converted from Celsius to Fahrenheit is given by 39.1 Celsius equals to 102.38 Fahrenheit.

Units  representing the measurement of the temperature in the standard form are Celsius and Fahrenheit .

Formula which relates the Celsius and Fahrenheit are given by

(°C × 9/5) + 32 =°F

Now Substitute the converted value 39.1 Celsius into Fahrenheit we get,

(39.1°C × 9/5) + 32

= ( 351.9 / 5 ) + 32

= ( 70.38 ) + 32

= 102.38°F

Therefore, the converted value from Celsius to Fahrenheit for the given temperature 39.1 Celsius is given by 102.38 Fahrenheit.

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The above question is incomplete , the complete question is:

What is the conversion of 39.1 °C to °F ?

Answer:

y = 22x - 20

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 22 , then

y = 22x + c ← is the partial equation

to find c substitute (1, 2 ) into the partial equation

2 = 22(1) + c = 22 + c ( subtract 22 from both sides )

- 20 = c

y = 22x - 20 ← equation of line

A logarithmic differentiation calculator is an online tool used to calculate the derivative of a function using logarithmic differentiation.

A logarithmic separation mini-computer is a web-based instrument that utilizes logarithmic separation to work out the subordinate of a capability. Logarithmic separation is a procedure used to separate capabilities that are challenging to separate utilizing customary techniques. The cycle includes taking the normal logarithm of the two sides of the capability, then separating utilizing the principles of logarithms and the chain rule. The subsequent articulation can be streamlined to give the subsidiary of the first capability. An internet based logarithmic separation number cruncher robotizes this interaction, permitting clients to enter a capability and accept its subsidiary. This can be helpful for understudies and experts in fields like math, physical science, and designing, who need to rapidly and precisely work out subsidiaries of perplexing capabilities. There are numerous logarithmic separation number crunchers accessible on the web, some of which additionally give bit by bit clarifications of the interaction used to compute the subsidiary.

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$50 can purchase 40 sports drinks.

A purchase is the acquisition of goods or services in exchange for money or other forms of payment. It is a common transaction that takes place in everyday life and can range from small purchases such as buying groceries, to larger purchases such as buying a car or a house.

When making a purchase, a buyer typically identifies a need or desire for a particular product or service, and then selects a seller or retailer who offers the desired item. The buyer then pays the seller the agreed-upon price, either in cash, by credit card, or through other forms of payment.

Purchases can take place in a variety of settings, including physical stores, online marketplaces, and through person-to-person transactions. The process of making a purchase may involve comparing prices, negotiating with the seller, and evaluating the quality and features of the product or service being purchased.

In addition to individual purchases, businesses and organizations also make purchases to acquire the resources and materials needed to operate and grow. This can include purchasing raw materials, equipment, and services from suppliers, as well as acquiring other businesses through mergers and acquisitions.

Overall, purchases are an important aspect of economic activity and play a crucial role in the functioning of markets and the economy as a whole.

Let's start by finding the cost of one sports drink:

$29.99 / 24 = $1.25 per sports drink

To find how many sports drinks can be purchased for $50, we divide $50 by the cost of one sports drink:

$50 / $1.25 per sports drink = 40 sports drinks

Therefore, $50 can purchase 40 sports drinks.

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Answer:

200 * 25/100 --> 25% of 200

200 * 15/100 --> 15% of 200

100 * 35/100 --> 35% of 100

Step-by-step explanation:

Percentages are always out of 100 ( e.g 60% is equivalent to 60/100) and whole numbers have a denominator of 1 meaning you could simply solve this sort of problem if you set it up right.

For example) 25% of 200

25/ 100  *  200/1

25 * 200 is 5000 and 100 * 1 is 100

So the answer would be 5000/100 (which you would simplify to get the right answer but that's just an example)

Hope you have a great day :)

Answer:

see explanation

Step-by-step explanation:

(a)

the sum to infinity of a geometric progression is

S∞ = [tex]\frac{a_{1} }{1-r}[/tex] : | r | < 1

where a₁  is the first term and r the common ratio

here a₁ = 20 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{16}{20}[/tex] = [tex]\frac{4}{5}[/tex] = 0.8

S∞ = [tex]\frac{20}{1-0.8}[/tex] = [tex]\frac{20}{0.2}[/tex] = 100

(b)

the sum to n terms of an arithmetic progression is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 20 , d = a₂ - a₁ = 16 - 20 = - 4 and [tex]S_{n}[/tex] = - 160

substitute values into formula and solve for n

[tex]\frac{n}{2}[/tex] [ (2 × 20) - 4(n - 1) ] = - 160 ( multiply both sides by 2 to clear the fraction )

n(40 - 4n + 4) = - 320

n(- 4n + 44) = - 320

- 4n² + 44n = - 320 ( add 320 to both sides )

- 4n² + 44n + 320 = 0 ( divide through by - 4 )

n² - 11n - 80 = 0 ← in standard form

(n - 16)(n + 5) = 0 ← in factored form

equate each factor to zero and solve for n

n - 16 = 0 ⇒ n = 16

n + 5 = 0 ⇒ n = - 5

now n > 0 , then n = 16

there are 16 terms in the arithmetic progression

Answer:

0.0768 or 7.68%

Step-by-step explanation:

(5 choose 4)*0.4^4*0.6=0.0768

Using angle relationship as reasons, the missing angles are:

1. m∠a = 108°

2. m∠b = 43°

3. m∠c = 114°

4. m∠d = 101°

5. m∠e = 82°

m∠f = 82°

6.  m∠g = 67°

m∠h = 113°

7. m∠i = 127°

m∠j = 53°

8. m∠k = 156°

m∠l = 24°

9. m∠m = 72°

10. m∠n = 86°

11. m∠p = 25°

12. m∠q = m∠r = 61°

The angle relationship that exist between the angles in question will determine how to solve for the missing angle measure in a figure. Some of them are:

1. m∠a = 108°,

Reason: alternate interior angles are congruent.

2. m∠b = 43°,

reason: corresponding angles are congruent.

3. m∠c = 114°,

reason: corresponding angles are congruent.

4. m∠d = 180 - 79

m∠d = 101°

Reason: same-side interior angles theorem (angle relationship)

5. m∠e = 82°,

reason: alternate interior angles are congruent.

m∠f = 82°

Reason: vertical angles are congruent.

6.  m∠g = 67°,

Reason: corresponding angles are congruent.

m∠h = 180 - 67 = 113°,

reason: same-side interior angles are supplementary.

7. m∠i = 127°

reason: corresponding angles are congruent.

m∠j = 180 - 127 = 53°

reason: linear pair angles are supplementary or have a sum of 180 degrees.

8. m∠k = 156°

reason: supplementary angles

m∠l = 24°

reason: alternate exterior angles are congruent

9. m∠m = 72°

reason: alternate exterior angles are congruent

10. m∠n = 180 - 94 = 86°

reason: supplementary angles

11. m∠p = 180 - 155 = 25°

reason: supplementary angles

12. m∠q = m∠r = 180 - 119 = 61°

reason: supplementary angles

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The number of mini hotdogs in the combination meal is 10.

The number of chicken wings in the combination meal is 4.

How many chicken wings and mini hotdogs were sold?

70h + 60c = 1220 equation 1

h - c = 10 equation 2

Where:

h = number of hotdogs

c = number of chicken wings

The elimination method would be used to solve the equations:

Multiply equation 1 by 70

70h - 70c = 700 equation 3

Subtract equation 3 from equation 2:

130c = 520

Divide both sides of the equation by 130

c = 520 / 130

c = 4

Substitute for c in equation 2:

h - 4 = 10

h = 10 + 4

h = 14

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The values of side lengths d and b in the triangles are d = 2.3 units and b = 8.5 units

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

TRIANGLE 1

sin 60° = 2/d    (Sine = opposite / hypotenuse)

0.8660 = 2/d

d = 2/0.8660

d = 2.3 units

TRIANGLE 2

sin 45° = 6/b    (Sine = opposite / hypotenuse)

0.7071 = 6/b

b = 6/0.7071

b = 8.5 units

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To calculate the optimal bundle, you need to find the combination of goods or services that maximizes the consumer's utility while staying within their budget constraint.

The optimal bundle can be found by using the consumer's utility function and their budget constraint. The utility function specifies how much utility the consumer gets from consuming various quantities of the goods or services, while the budget constraint specifies the combinations of goods or services that the consumer can afford given their income and the prices of the goods or services.

To find the optimal bundle, follow these steps:

Write down the consumer's utility function, such as U(x, y) where x and y are the quantities of two goods.

Write down the consumer's budget constraint, such as P_x x + P_y y = I where P_x and P_y are the prices of the goods, I is the consumer's income, and x and y are the quantities of the two goods.

Find the marginal utility of each good by taking the partial derivative of the utility function with respect to each good. For example, the marginal utility of x is given by dU/dx.

Set the marginal utility per dollar spent on each good equal to each other, since the consumer should allocate their spending so that the marginal utility per dollar spent is the same for both goods. That is, set dU/dx / P_x = dU/dy / P_y.

Solve the resulting equations for the quantities of the goods that maximize the consumer's utility subject to their budget constraint.

The resulting combination of goods that solves the optimization problem is the consumer's optimal bundle. It represents the combination of goods that maximizes the consumer's utility given their budget constraint.

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Answer:

y=12x+165

Step-by-step explanation:

The solution is, Ian walk in 4 1/2 days 81/4 = 20.25 miles.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

Ian walks 4 1/2 miles every day

i.e. in 1 day walks = 9/2 mile

so, Ian walk in 4 1/2 days is.

in 9/2 days walks = 9/2* 9/2 miles

                             =81/4 miles

Hence, The solution is, Ian walk in 4 1/2 days 81/4 = 20.25 miles.

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The conversion of the weight 46 Kg to pounds (lbs) is 46 Kg is = 101.42 lbs .

The Pound and Kilogram are both units of measurement for weight or mass ; the unit used for pound is lbs , and for Kilogram the unit used is Kg .

The weight to be converted is = 46 Kg ,

We have to convert this weight to pounds ;

The conversion factor to convert the weight from Kilogram to pounds is : 1 Kg = 2.20462 lbs ;

On multiplying the given weight by the conversion factor ;

We get ;

⇒ 46 Kg = 46 × 2.20462 lbs ;

⇒ 46 Kg = 101.41252 ≈ 101.42 lbs .

Therefore , the weight 46 Kg is approximately equal to 101.42 lbs  .

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Answer:

The expected number of times Henry would remove a strawberry chew from the bag is about 1041. This can be calculated by multiplying the total number of trials (23 + 1300 = 1323) with the relative probability of each type of chew (17/23 = 0.7391 for strawberry, 3/23 = 0.1304 for lemon, 3/23 = 0.1304 for peach). The expected number of times Henry would remove a strawberry chew from the bag is 0.7391 x 1323 = 1041.24, which can be rounded to 1041.

Answer:

Step-by-step explanation

The answer is 961 . I can explain because, it is really easy all you have to do is add 17 and 23 together because it is only asking about strawberry so lower number on top and higher on bottom you get 17/23 then u put this equation 1300 times 17/23 you will get 960 and some decimals round up to 961 there you go you've got your anwser.

Answer:The Algebra of Functions

Like terms, functions may be combined by addition, subtraction, multiplication or division.

Example 1. Given f ( x ) = 2x + 1 and g ( x ) = x2

+ 2x – 1 find ( f + g ) ( x ) and

( f + g ) ( 2 )

Solution

Step 1. Find ( f + g ) ( x )

Since ( f + g ) ( x ) = f ( x ) + g ( x ) then;

( f + g ) ( x ) = ( 2x + 1 ) + (x2

+ 2x – 1 )

= 2x + 1 + x2

+ 2x – 1

= x

2

+ 4x

Step 2. Find ( f + g ) ( 2 )

To find the solution for ( f + g ) ( 2 ), evaluate the solution above for 2.

Since ( f + g ) ( x ) = x2

+ 4x then;

( f + g ) ( 2 ) = 22

+ 4(2)

= 4 + 8

= 12

Example 2. Given f ( x ) = 2x – 5 and g ( x ) = 1 – x find ( f – g ) ( x ) and ( f – g ) ( 2 ).

Solution

Step 1. Find ( f – g ) ( x ).

( f – g ) ( x ) = f ( x ) – g ( x )

= ( 2x – 5 ) – ( 1 – x )

= 2x – 5 – 1 + x

= 3x – 6

Step 2. Find ( f – g ) ( 2 ).

( f – g ) ( x ) = 3x – 6

( f – g ) ( 2 ) = 3 (2) – 6

= 6 – 6

= 0

Step-by-step explanation:

The average rate change of over the interval [-1,1] is 2.

What is an interval?

In mathematics, an interval is expressed in numerical terms. All the numbers between two specific numbers are referred to as an interval. All actual numbers between those two are included in this range.

Given points on the graph is

x   -2     -1     0     1        

y   -4     -3     -1     3

The average rate of change of a function is defined by the expression over the interval a ≤ x ≤ b,

Average rate of change = [f(b) - f(a)]/(b - a)

Here a = -1, b = 1, f(a) = -3, and f(b) = 3

The average rate is (3 - (-3))/ (1 - (-1)) = 2

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Using the formula, we can convert milliliters to teaspoons. 1 milliliter equals 0.202 teaspoons, thus 10ml equals 2.02 teaspoons.

The volume unit is milliliters. A teaspoon is also a volume measure, however it is a smaller unit that is commonly used at dinner settings.

One millilitre is equivalent to 0.202 US teaspoons using normal conversion rates.

As a result, we may define the link using the unit conversion idea.

One milliliter is equal to 0.202 teaspoons in the United States.

For example, 10 milliliters equals 2.02 teaspoons.

As a result, we'll need roughly 2 tablespoons to get 10 ml.

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The percentage change in the population of fish at Roe River42 from 2000 to 2016 is 33.72%.

The percentage change refers to the increase or decrease in the population of fish between 2000 and 2016 computed as a percentage or rate.

To determine the percentage change, the difference is divided by the original value and multiplied by 100.

The total fish population in 2000 at Roe River42 = 5,730

The decrease in the population in 2016 = 1,932

The percentage change = 33.72% (1,932/5,730 x 100)

Thus, we can conclude that the fish population decreased by 33.72% from 2000 to 2016.

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This is the set of all real numbers except those between -8 and 4 (inclusive), since the absolute value of y+2 cannot be greater than 6 if y is between -8 and 4.

In mathematics, inequalities specify the connection between two non-equal values. Equal does not imply inequality. Typically, we use the "not equal symbol ()" to indicate that two values are not equivalent. But various inequalities are used to compare the values, whether it is less than or larger than.

First, we can simplify the left side of the inequality by distributing the absolute value:

8|y+2| - 3 > 45

8|y+2| > 48

Then, we can isolate the absolute value by dividing both sides by 8:

|y+2| > 6

This inequality means that $y+2$ must be either greater than 6 or less than -6:

$$ y+2 > 6 \text{ or } y+2 < -6 $$

Simplifying each of these inequalities, we get:

y > 4 or y < -8

Therefore, the solution set for this inequality is:

[tex]$$ \boxed{(-\infty, -8) \cup (4, \infty)} $$[/tex]

This is the set of all real numbers except those between -8 and 4 (inclusive), since the absolute value of y+2 cannot be greater than 6 if y is between -8 and 4.

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An example of a double replacement reaction is given below:

AgNO3 + NaCl → AgCl + NaNO3

A double replacement reaction, also known as a double displacement reaction or metathesis reaction, is a type of chemical reaction in which two compounds react with each other and swap cations or anions to generate two new compounds.

A general double replacement reaction is expressed as follows:

AB + CD → AD + CB

A double replacement reaction is illustrated below:

AgNO3 (silver nitrate) + NaCl (sodium chloride)  → AgCl (silver chloride) + NaNO3 (sodium nitrate)

Silver nitrate and sodium chloride are combined in this process. Silver chloride (AgCl) is formed when the silver ion (Ag+) in silver nitrate replaces the sodium ion (Na+) in sodium chloride, whereas sodium nitrate (NO3-) is formed when the nitrate ion (NO3-) replaces the chloride ion (Cl-) in sodium chloride (NaNO3).

This reaction's balanced equation is:

AgNO3 + NaCl → AgCl + NaNO3

This sort of reaction is often utilised in salt synthesis and precipitation processes.

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Answer:

Step-by-step explanation:

x-3 is greater than or less than 7

Answer:1 l = 2.2 lb wt.

Step-by-step explanation:

There are 364 days in 52 weeks.

A day is an approximate time it takes for the Earth to complete one spin.

It is defined as exactly 86,400 seconds.

In one week there are 7 days.

There are 52 weeks in a year.

To find out how many days in 52 weeks,

To get the number of days in a given week we have to multiply weeks by the days in a week.

As we know that, 7 days means a one week,

We can calculate the number of days in 52 weeks by multiplying 52 weeks by 7 days:

52 x 7  = 364 days

Therefore, there are 364 days in 52 weeks.

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