Evaluate each function.
g(n)=-n+ 5; Find g(1)
B) 4
D) -3
A) 6
C) 15

Answer:

The length of a 200 meter race in inches can be calculated by converting the distance to meters and then multiplying by the number of inches per meter. Since there are 0.0254 meters in one inch, the length of a 200 meter race in inches is 200 * 0.0254 = 5.08 meters.

Usain Bolt's feet per second average speed over the 200 meter race distance can be calculated by dividing the length of the race in feet by the time it took him to run it. Since there are 3.281 feet in one meter, the length of the race in feet is 5.08 * 3.281 = 16.63 feet. Dividing this distance by Bolt's world record time of 19.19 seconds, we get a feet per second speed of 16.63 / 19.19 = 0.864 feet per second.

To convert Bolt's feet per second speed to miles per hour, we can multiply it by the number of feet in one mile and the number of seconds in one hour. Since there are 5280 feet in one mile and 3600 seconds in one hour, Bolt's speed in miles per hour is 0.864 * 5280 / 3600 = 1.3 miles per hour.

The proof that tan(x) sin(x) + cos(x) = sec(x) is represented by the trigonometric equation sec(x) = sec(x)

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

tan(x) sin(x) + cos(x) = sec(x)

Express tan(x) as sin(x)/cos(x)

So, we have the following representation

sin(x)/cos(x) * sin(x) + cos(x) = sec(x)

Evaluate the products

So, we have the following representation

sin²(x)/cos(x)  + cos(x) = sec(x)

Take the LCM

[sin²(x) + cos²(x)]/cos(x) = sec(x)

Express sin²(x) + cos²(x) as 1

So, we have

1/cos(x) = sec(x)

Evaluate

sec(x) = sec(x)

Hence, the equation has been proved

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Answer:

1.) 0.25

2.) 0.50

3.) 0.125

4.) 2.25

Step-by-step explanation:

When turning percentages into decimals, you move the decimal point two places to the left.

EX:

25%

25.0 (move the decimal point two places to the left)

2.5

.25

0.25 (add any zeros if necessary)

Hope this helps!!

It doesn't matter where the decimal point is in a percentage, as long as you move the point two places to the left, you are still turning it into a decimal.

Answer:

1. $19.80

2. 0.92

3. 40.87

4. 119.94

5. 7.41

6. 0.615

Step-by-step explanation:

1. $3.96 x 5 = $19.80

2. 0.023 x 40  

⇒ 0.023 x 10 = 0.23

⇒ 0.23 x 4 = 0.92

3. 0.67 x 61

⇒ 0.67 x 1 = 0.67

⇒ 0.67 x 60 = 40.2

⇒ 0.67 + 40.2 = 40.87

4. $19.99 x 6

⇒ 19.99 x 6 = 119.94

5. 0.13 x 57

⇒ 0.13 x 50 = 6.5

⇒ 0.13 x 7 = 0.91

⇒ 6.5 + 0.91 = 7.41

6. 0.041 x 15

⇒ 0.041 x 10 = 0.41

⇒  0.041 x 5 = 0.205

⇒ 0.41 + 0.205 = 0.615

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The provided sequence's 12th through 15th terms add out to -200.

The formula is used to get the sum of n terms in an arithmetic sequence.

 Sn = ((2×a₁)+(d×(n -1)))×(n/2)

where d is the common difference and a₁ is the first number in the series.

Finding the total of four words in a series that starts with 100, 88, 76 is necessary to solve this issue. These are the 12th through 15th terms.

General Term

The formula indicates what an arithmetic sequence's general term is.

aₙ = a₁ +d(n-1)

where d is the common difference and a is the first term.

The first term in the above sequence, a₁  is 100, and the common difference is...

d = 88 -100 = -12

Then the general term is

aₙ = 100 -12(n -1)

The 12–15 term total is what we need. This sub-first sequence's phrase is

a₁₂ = 100 -12(12 -1) = 100 -132 = -32

The following words in the series will all share a -12 common difference. The following sum formula may be used to get the total of the four terms:

Sₙ = (2·a₁+d(n -1))(n/2) . . . . . . . for a₁=-32, d=-12, and n=4

S₄ = (2·(-32) -12(4 -1))(4/2) = (-64 -36)(2) = -200

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Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x=80/7

Decimal Form: x=11.428

or 11.44

Mixed Number Form: x=11 3/7

Answer:

The solutions to the given equations are x = 4, x = -4, x = 3y, x = -3y, 1/5x = 8y, and 1/5x = -8y.

Step-by-step explanation:

These are all algebraic expressions, which are combinations of variables, numbers, and mathematical operations. The first expression, 16 - x^2, is an example of a difference of squares. The second expression, x^2 - 9y^2, is also a difference of squares. The third expression, 1/25x^2 - 64y^2, is a difference of squares with a fractional coefficient in front of the first term.

To solve an equation, we need to find the values of the variables that make the equation true.

For the first equation, 16 - x^2, we can solve it by adding x^2 to both sides to get rid of the negative sign. This gives us 16 = x^2, and then we can take the square root of both sides to get x = +/- 4. Therefore, the solutions to this equation are x = 4 and x = -4.

For the second equation, x^2 - 9y^2, we can solve it by factoring the left-hand side to get (x - 3y)(x + 3y) = 0. This means that the product of the two factors on the left-hand side must be equal to 0, so either x - 3y = 0 or x + 3y = 0. Solving each of these equations separately, we get x = 3y and x = -3y. Therefore, the solutions to this equation are x = 3y and x = -3y.

For the third equation, 1/25x^2 - 64y^2, we can solve it by factoring the left-hand side to get (1/5x - 8y)(1/5x + 8y) = 0. This means that the product of the two factors on the left-hand side must be equal to 0, so either 1/5x - 8y = 0 or 1/5x + 8y = 0. Solving each of these equations separately, we get 1/5x = 8y and 1/5x = -8y. Therefore, the solutions to this equation are 1/5x = 8y and 1/5x = -8y.

In summary, the solutions to the given equations are x = 4, x = -4, x = 3y, x = -3y, 1/5x = 8y, and 1/5x = -8y.

Answer:

-3

Step-by-step explanation:

f(-5) = (-5)2 + 7

= -10 + 7

= -3

Answer:

Step-by-step explanation:

The correlation coefficient between 1 and v(n) is -0.913, and this coefficient indicates a strong negative linear association. The correlation coefficient is a measure of the strength and direction of the relationship between two variables. In this case, the correlation coefficient is -0.913, which indicates a strong negative relationship between 1 and v(n). This means that as the value of 1 increases, the value of v(n) decreases, and vice versa. This relationship is linear, which means that it can be described by a straight line. Overall, the correlation coefficient indicates a strong negative linear association between 1 and v(n).

Therefore, the number of significant figures is 4.

Significant figures are the digits of a number that are meaningful in terms of accuracy or precision. These digits indicate the precision of a calculation or measurement.

Given:

exponential notification is,

2.6 ×[tex]10^{-15}[/tex]

=365500

(real number)

= 3.655 × [tex]10^{5}[/tex]

(scientific notation)

= 3.655e5

(scientific exponential notation)

Therefore, the number of significant figures is 4.

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Examples of unit rates are Dollars per pound calories and earnings per hour. The rest is not the unit rate.

What is the unit rate?

An item's unit rate is its price for one of them. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. 70 yards in 10 seconds and 7 yards in 1 second are both ratios, although only the latter is a unit rate.

Earnings per hour are a unit rate since it is calculated for an hour.

Dollars per pound calories is a unit rate.

Serving $25.50 for 5 gallons is not a unit rate, the cost is for 5 gallons. If the cost is for 1 gallon then it will unit rate.

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How do I solve for x?

Apply arithmetic operations to both sides of the equation to bring the variable to one side and all other values to the other side in order to find the value of x. To determine the outcome, simplify the values.

Meaning of y = mx + b

The slope-intercept formula for a straight line is y = mx + b. m is referred to as the line’s slope and b is referred to as the line’s y-intercept in the equation y = mx + b for a straight line. Y = mx+b, where

Y ⇒  how far up or down is the line,

X  ⇒ how far along is the line,  

B ⇒ the value of y when x = 0 and

M ⇒ how steep the line is.

This is determined by m = (difference in y coordinates)/ (difference in x coordinates).

1. we have to determine a straight line equation that models the cost of High-Efficiency washing machine over the years;

Slope of the line = change in y / change in x

                            = [tex]\frac{550-525}{2-1}[/tex]

                            = 25

Equation will be

y= 25x+c

Where y is the cost of the High-Efficiency washing machine and x the number of years.

To find c we take points from table,

525= 25×1+ c

c= 525-25

c= 500

Therefore, y= 25x+ 500

2. we have to determine a straight line equation that models the cost of Standard washing machine over the years;

Slope of the line = [tex]\frac{430-400}{2-1}[/tex]

                            = 30

Equation will be,

y= 30x+c

where y is the cost of the Standard washing machine and x the number of years.

To find c we take points from table,

430= 30×1+ c

c= 430-30

c= 400

Therefore, y= 30x+ 400

3. Given the cost functions for both machines over the number of years, we simply equate the two equations and determine the value of x when both machines would cost the same amount;

y= 25x+ 500

y= 30x+ 400

Equating both equations,

30x+ 400= 25x+ 500

30x- 25x= 500-400

5x= 100

x =[tex]\frac{100}{5}[/tex]

x= 20

Therefore, the washing machines would cost the same amount after 20 years of use.

4. To determine which machine would be the more practical purchase if kept for 9 years we use the cost functions obtained in 1. and 2.

High-Efficiency washing machine

y= 25x+ 500

y= 25×9+ 500

y= 725

Standard washing machine

y= 30x+ 400

y= 30×9+ 400

y= 670

Therefore, the cost for the Standard washing machine is more practical.

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The value of x on the equation 2.25 + 0.4x = -2.8 is -0.1375.

A equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions.

The equation is given as;

- 2.25 + 0.4x = -2.8

Collect the like terms

0.4x = -2.8 + 2.25

0.4x = -0.55

Divide

x = -0.55 / 0.4

x = - 0.1375

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Hello,

I hope you and your family are doing well!

To find the amount of simple interest earned by Min Kurata's money, we can use the formula:

I = P * r * t

Where I is the amount of interest earned, P is the principal (the initial amount deposited), r is the annual interest rate, and t is the time in years.

In this case, the principal is $875, the annual interest rate is 4%, and the time is 3 months. Since the time is given in months, we need to convert it to years by dividing it by the number of months in a year (12):

t = 3 months / 12 months/year = 0.25 years

Plugging these values into the formula gives:

I = $875 * 0.04 * 0.25 = $35

So Min Kurata's money earned $35 in simple interest.

To find the total amount in the account, we can add the amount of interest to the principal:

total amount = $875 + $35 = $910

So the total amount in the account after 3 months is $910.

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The statement mentioned in the question is True.

The sample size of a survey is determined by the variability believed to be in the population, the acceptable margin of sample error, and the level of confidence required in estimates of the population values. These elements are important considerations when designing a survey because they help to ensure that the results of the survey are reliable and accurately reflect the characteristics of the population being studied.

To calculate the proper sample size for a survey, you need to first determine the size of the population being studied and the level of precision you want to achieve in your estimates. You also need to consider the level of confidence you want to have in your estimates and the acceptable margin of error for your survey. Once you have all of this information, you can use a sample size calculator or a statistical formula to determine the appropriate sample size for your survey.

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Answer: A

Step-by-step explanation: the other guy is wrong

The equivalent equation of the equation given as 1/5x - 3 - 2/3 is 1/5x - 11/3

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

1\5x-3-2\3

The fractions can be properly expressed as

1/5x - 3 - 2/3

Next, we evaluate the difference between -3 and -2/3

So, we have the following representation

1/5x - 3 - 2/3 = 1/5x - (9 + 2)/3

Evaluate the like terms

So, we have the following representation

1/5x - 3 - 2/3 = 1/5x - (11)/3

Remove the brackets

This gives

1/5x - 3 - 2/3 = 1/5x - 11/3

Hence, the equivalent equation is 1/5x - 11/3

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The indigo line is longer than the white line by 5.2 inches.

A line is a one-dimensional figure that has length but no width.

The length of the indigo line can be represented as I and the length of the white line as W.

The length of the indigo line is 11 4/5, i.e., I = 11 4/5 = 11.8

The given length of the white line is 6 3/5, i.e. W = 6 3/5=  6.6

The difference in length between the indigo and white lines is given by

I-W =  11.8 - 6.6 = 5.2

Hence, the indigo line is 5.2 inches longer than the white line.

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The total number of hours that it opens in one week will be 104 hours.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Walmart is open Monday through Saturday from 8:00 AM to 12:00 AM and Sunday from 10:00 AM to 8:00 PM.

From 8:00 AM to 8:00 PM, there are 12 hours and from 8:00 AM to 12:00 AM there are 4 hours. Then the total hours from Monday to Saturday will be calculated as,

⇒ 6 x (12 + 4)

⇒ 6 x 16

⇒ 96 hours

From 10:00 AM to 8:00 PM, there are only 10 hours. Then the total number of hours that it opens in one week will be given as,

⇒ 96 + 8

⇒ 104 hours

The total number of hours that it opens in one week will be 104 hours.

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Answer:

It is 11-9/16

Step-by-step explanation:

The reduced form of the radical √192  is  8√3.

A radical is a symbol that represents a particular root of a number. Radical simply means square root of a number.

Therefore, the symbols for radical is √.

Let's reduce the radical accordingly,

√192

Let's find number you can multiply to get 192. One of the numbers will be  a perfect square.

Therefore, the numbers are 64 and 3. 64 is the perfect square.

Therefore,

√192 = √64 × 3 = √ 8² × 3 = 8√3

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The rate of change of the area of the triangle, in square feet per second, at the instant the bottom of the ladder is 48 feet from the wall is 26 square feet per second.

Let's call the distance between the bottom of the ladder and the wall x. We can express the area of the triangle in terms of x as follows:

Area = (1/2) * 52 * x

The area of the triangle is changing at a rate of 8 square feet per second as x changes at a rate of 8 feet per second. We can find the rate of change of the area with respect to x by taking the derivative of the area expression with respect to x:

d(Area)/dx = (1/2) * 52 = 26

Therefore, the rate of change of the area of the triangle, in square feet per second, at the instant the bottom of the ladder is 48 feet from the wall is 26 square feet per second.

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Answer:

i think 2/21 i think im wrong

Step-by-step explanation:

Answer: Crust and asthenosphere should be switched

Step-by-step explanation:

Brainliset please?

Answer:

Step-by-step explanation:

crust is the surface of the earth and the asthenosphere below it with currents that cause earthquakes.

Answer:

To determine the test statistic for this problem, we need to first calculate the standard error of the mean. This is given by the formula:

Standard error of the mean = Standard deviation / sqrt(n)

where n is the number of samples in the population. In this case, the standard deviation is 1 minute and the number of samples is 20, so the standard error of the mean is equal to 1 / sqrt(20) = 0.22.

We can now use this value to calculate the test statistic, which is given by the formula:

Test statistic = (Sample mean - Population mean) / Standard error of the mean

In this case, the sample mean is 3.7 minutes, the population mean is less than 3.5 minutes, and the standard error of the mean is 0.22. Since the population mean is less than 3.5 minutes, we will use 3.5 as the value for the population mean in our calculation. Plugging these values into the formula, we get:

Test statistic = (3.7 - 3.5) / 0.22 = 0.22 / 0.22 = 1

Therefore, the test statistic for this problem is 1. This value indicates that the sample mean is slightly higher than the population mean, but not by a significant amount.

Answer: The Tri-State Pick 3 lottery game offers a choice of several bets, including a "box" bet where you choose a three-digit number and win if the number you choose has the same digits as the winning number, in any order. The expected payoff for a $1 bet on the box is $83.33.

To find this expected value, we need to consider all the possible ways that the winning number could be chosen and calculate the probability of each outcome. Since the winning number is chosen at random, each of the 10 possible digits (0 through 9) is equally likely to be chosen for each of the three positions in the winning number.

Since the box bet pays off if the digits of your chosen number match the digits of the winning number, regardless of their order, the number of winning combinations is equal to the number of ways to arrange the three digits of the winning number. This is equal to 3! (3 factorial), which is equal to 6.

Since there are a total of 10 possible digits for each position and the winning number has three positions, there are a total of 10 x 10 x 10 = 1000 possible winning numbers. Of these, 6 will pay off for a box bet, so the probability of winning a box bet is 6/1000 = 0.006.

Since the expected value of a bet is equal to the probability of winning multiplied by the payoff, the expected value of a $1 bet on the box is 0.006 x $83.33 = $0.05. Therefore, the expected payoff for a $1 bet on the box is $0.05.