What do all of the numbers in the box below have in common 60% 0.57 0.9 120%

The distance of the comet from the laser rangefinder after x days, denoted as g(x), is given by the equation:

g(x) = 250,000csc(π36x)

where x represents the number of days and g(x) is the distance in kilometers.

In this equation, the function csc represents the cosecant function, which is the reciprocal of the sine function. The π/36 factor in the argument of the csc function ensures that the period of the comet's distance is 36 days.

To find the distance of the comet at a specific number of days, substitute the value of x into the equation g(x). For example, to find the distance after 10 days, substitute x = 10 into the equation:

g(10) = 250,000csc(π36(10))

To calculate the distance, evaluate the cosecant function using the appropriate mathematical tools or software.

The given equation provides a mathematical model for the distance of the comet as it approaches Earth over a period of 36 days.

To know more about equations visit-

brainly.com/question/32073464

#SPJ11

Answer:

B

Step-by-step explanation:

2x-5y=-25

5y=2x+25

y=2/5 x+5

Answer:

B. y = 2/5x + 5

Step-by-step explanation:

Answer:

C is the correct answer. F(x) = -\(x^{3}\)

Answer:

6300000 g / 63⁵g

Step-by-step explanation:

1kg = 1000g

6300kg × 1000 = 6300000g

= 63⁵g

Answer:

see explanation

Step-by-step explanation:

To solve these equations equate them to zero, that is

x² - x - 42 = 0

Consider the factors of the constant term (- 42) which sum to give the coefficient of the x- term (- 1)

The factors are - 7 and + 6, since

- 7 × 6 = - 42 and - 7 + 6 = - 1 , thus

(x - 7)(x + 6) = 0

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 6 = 0 ⇒ x = - 6

Solutions are x = - 6, x = 7

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

x² + x - 6 = 0 ← in standard form

(x + 3)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

Solutions are x = - 3, x = 2

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

x² - 25 = 0 ( add 25 to both sides )

x² = 25 ( take the square root of both sides )

x = ± \(\sqrt{25}\) = ± 5

Solutions are x = - 5, x = 5

Answer: 5 weeks

Step-by-step explanation:

In the 1 week he was on vacation, Nolan was able to buy 3 postcards.

The rate he is buying postcards is therefore 3 per week.

If he needed to buy 15, he would need to be there for:

= 15 postcards/ 3 postcards a week

= 5 weeks

T = 464.

8 times 58 = 464, so we do inverse operations

Answer: Use inverse operations to isolate the t; (multiplication.)

t/8 * 8 = t

58 * 8 = 464

The equation now looks like this:

t = 464

There is nothing left to simplify, so this is your answer.

Hope this helps!

The percentage increase from the initial population of 397,000 to 412,880 is 4%

From the question, we have the following numbers:

397,000 and 412,880.

The numbers are increments from 397,000 to 412,880.

The percentage increase is calculated as:

%Percentage = (Old number - New number)/Old Number

Substitute the numbers in the above equation

%Percentage = (412880 - 397000)/397000

Evaluate the difference

%Percentage = 15880/397000

Evaluate the quotient

%Percentage = 0.04

Express 0.04 as percentage

%Percentage = 4%

Hence, the percentage increase from the initial population of 397,000 to 412,880 is 4%

Read more about percentage increase at:

https://brainly.com/question/11360390

#SPJ1

Answer:

1.75 gallons

Step-by-step explanation:

First, we need to calculate how far the hike is going up the trail. They first hike 2 miles and then another 1.75 miles after resting so...

2 + 1.75 = 3.75 miles

The trail is 3.75 miles long, the question states that the return path is 0.5 miles shorter, therefore...

3.75 - 0.5 = 3.25 miles

Leaving us with a total hiking distance of

3.75 + 3.25 = 7 miles.

Since each hiker will carry 0.25 gallons for each mile we simply need to multiply this amount by the total number of miles in the hike.

7 * 0.25 = 1.75 gallons

Finally, we can see that each hiker will carry a total of 1.75 gallons of water for the entire hike.

The sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

To find a sinusoidal function with the given attributes, we can use the general form of a sinusoidal function:

f(x) = A * sin(Bx + C) + D

where A represents the amplitude, B represents the frequency (related to the period), C represents the phase shift, and D represents the vertical shift.

Amplitude: The given amplitude is 10. So, A = 10.

Period: The given period is 5. The formula for period is P = 2π/B, where P is the period and B is the coefficient of x in the argument of sin. By rearranging the equation, we have B = 2π/P = 2π/5.

Midline: The given midline is y = 31, which represents the vertical shift. So, D = 31.

f(3) = 41: We are given that the function evaluated at x = 3 is 41. Substituting these values into the general form, we have:

41 = 10 * sin(2π/5 * 3 + C) + 31

10 * sin(2π/5 * 3 + C) = 41 - 31

10 * sin(2π/5 * 3 + C) = 10

sin(2π/5 * 3 + C) = 1

To solve for C, we need to find the angle whose sine value is 1. This angle is π/2. So, 2π/5 * 3 + C = π/2.

2π/5 * 3 = π/2 - C

6π/5 = π/2 - C

C = π/2 - 6π/5

Now we have all the values to construct the sinusoidal function:

f(x) = 10 * sin(2π/5 * x + (π/2 - 6π/5)) + 31

Simplifying further:

f(x) = 10 * sin(2π/5 * x - 2π/10) + 31

f(x) = 10 * sin(2π/5 * x - π/5) + 31

Therefore, the sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

Learn more about sinusoidal function here

https://brainly.com/question/29529184

#SPJ11

Answer: thank you

Step-by-step explanation:

The number 8,536 is divisible by 2, 4 and 8.

Answer:

2, 4 , 8  & 4273

Step-by-step explanation:

It is only divisible by 2 and 4273, the latter is prime number as well

Hope this helps

Having checked the rotation of A, has a location of (-2,2)

Answer:

n = 8

Step-by-step explanation:

(n/2) - 10 = -6

       + 10   +10

\(\frac{n}{2}\) = 4

\(2*\frac{n}{2} = 4*2\)

n = 8

The right answer is: E, according to the Central Limit Theorem for proportionality. The statistic is inaccurate.

In probability theory, the central limit theorem establishes that, in many situations, when independent random variables are summed up, their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed.

The Central Limit Theorem establishes that for a proportion p in a sample of size n:

The expected value is μ=р

The standard error is s=\(\sqrt{\frac{p(1-p)}{n} }\)

In this problem, the expected value is different of the expected of μ=р , hence, the statistic is biased, and the correct option is E.

To learn more about Central limit theorem visit: brainly.com/question/4086221

#SPJ4

An equation for Windy Kite's total cost, y, in terms of the number of kites purchased, x, is y = 2x + 20.

An equation for Kites-R-Fun's total cost, y, in terms of the number of kites purchased, x, is y = 4x + 8.

Based on the table, if the Alaskan customer wants to buy 4 kites, Kites-R-Fun charges the least.

If the Alaskan customer wants to buy 10 kites, Windy kites charges the least.

The solution to the system of equations is (6, 32).

The meaning of the solution is that 6 kites would cost a total of $32 at both Windy kites and Kites-R-Fun.

In order to write a linear equation to describe this situation, we would a assign variable to the number of kites purchased and the total cost respectively, and then translate the word problem into a linear equation as follows:

Since Wendy charges $2 per kite and a flat rate of $20 for shipping, a linear equation that models the total cost is given by:

y = 2x + 20

When x = 4, the total cost for Windy kites is given by:

y = 2(4) + 20

y = $28.

When x = 7, the total cost for Windy kites is given by:

y = 2(7) + 20

y = $34.

When x = 10, the total cost for Windy kites is given by:

y = 2(10) + 20

y = $40.

For Kites-R-Fun, a linear equation that models the total cost is given by:

y = 4x + 8

When x = 4, the total cost for Kites-R-Fun is given by:

y = 4(4) + 8

y = $24.

When x = 7, the total cost for Kites-R-Fun is given by:

y = 4(7) + 8

y = $36.

When x = 10, the total cost for Kites-R-Fun is given by:

y = 4(10) + 8

y = $48.

Lastly, we would use an online graphing calculator to plot the system of linear equations as shown in the graph attached below.

Read more on equation here: brainly.com/question/19855458

#SPJ1

Answer:

Suppose that we have a circle of radius R.

The total perimeter of this circle will be:

P = 2*pi*R

Where pi = 3.14159...

Now, if we have a section of this circle with an angle A, the "chord" of this section will be:

C = (A/360°)*2*pi*R.

Where you can see that if A = 360° (so the section is the whole circle) the chord is equal to the perimeter.

In this particular case, the chord is equal to the radius of the circle, then we get:

C = R =  (A/360°)*2*pi*R

We need to solve this for A.

R =  (A/360°)*2*pi*R

We can divide both sides by R to get:

1 =   (A/360°)*2*pi

Now we need to isolate A.

(360°/2*pi) = A = 57.3°

This would be the angle in the minor arc.

And the angle for the mayor arc would be the difference between the angle for a whole circle (360°) and the angle of this section (57.3°)

The angle for the major arc is:

A = 360° - 57.3° = 302.7°

Step-by-step explanation:

Join the Meet ❤️

Códe to joín :- eqt-kuxy-dpe

Everyone Can Jóin

Answer:

(C) 4y - 3

Step-by-step explanation:

"Taking away" is (-)

Four times y is 4×y or 4y

Answer: 3 inches

Step-by-step explanation: Divide the actual length, 9 feet by 3, since that is the scale. then convert to inches

9/3 =3  

The throw of the dice or the drawing of a card is known as random behavior.

Random behavior refers to events that occur by chance, without any predictability or pattern. These events cannot be influenced or controlled, and their outcomes are determined by the laws of probability. In games such as dice and card games, the outcomes are determined by random variables, such as the position of the dice or the shuffle of the deck.

Random behavior can also occur in other contexts, such as weather patterns or the stock market, where events are subject to unpredictable fluctuations. Understanding random behavior is important in many fields, including mathematics, statistics, and economics, as it can help us make informed decisions based on the probability of different outcomes.

To learn more about probability  click here

brainly.com/question/30034780

#SPJ11

Answer:

Division property of equality

Step-by-step explanation:

If you have an equation with the variable not equal to one you want it to equal one so you would divide to get the variable to 1 so 5/5 and then you would do the same to the other side(75/5) d=15.

Answer:Division property of equality

Step-by-step explanation:If you have an equation with the variable not equal to one you want it to equal one so you would divide to get the variable to 1 so 5/5 and then you would do the same to the other side(75/5) d=15.

Answer:

54 degrees

Step-by-step explanation:

Full angle is 131 degrees

131-77=54

By using recursion, the function can keep track of the number of sit-ups for each day, allowing Fatoumata to easily determine the number of sit-ups she needs to do on any given day.

To represent Fatoumata's daily exercise routine using recursion, we can define a recursive function that calculates the number of sit-ups she will do on a given day. Let's call this function "sit-ups".

The base case of the recursive function is when the day is equal to 1. In this case, the function should return the initial number of sit-ups, which is 5. For the recursive case, the function should return the sum of the sit-ups on the previous day plus 3. This can be represented as:
sit-ups (day) = sit-ups (day - 1) + 3
To summarize:
- Base case: sit-ups (1) = 5
- Recursive case: sit-ups(day) = sit-ups (day - 1) + 3
Therefore, the recursive function to represent Fatoumata's daily exercise routine is:
def sit-ups(day):
   if day == 1:
       return 5
   else:
       return sit-ups (day - 1) + 3
The recursive function "sit-ups" represents Fatoumata's daily exercise routine of doing sit-ups. It calculates the number of sit-ups she will do on a given day based on the number of sit-ups she did on the previous day. In the base case, which is when the day is equal to 1, the function returns the initial number of sit-ups, which is 5.

This is the starting point for Fatoumata's routine. In the recursive case, the function calculates the number of sit-ups on the current day by adding 3 to the number of sit-ups on the previous day. This means that each day after the first day, Fatoumata will do 3 more sit-ups than the day before. By using recursion, the function can keep track of the number of sit-ups for each day, allowing Fatoumata to easily determine the number of sit-ups she needs to do on any given day.

The recursive function "sitUps" accurately represents Fatoumata's daily exercise routine of doing sit-ups. By using this function, Fatoumata can easily determine the number of sit-ups she needs to do on any day, starting from 5 sit-ups on the first day and increasing by 3 sit-ups each subsequent day.

To Know More about recursion visit:

brainly.com/question/32344376  

#SPJ11

Answer: 5 gallons per hour.

Step-by-step explanation: To find the unit rate, divide "gallons" by "hours." As we said, we need to find the unit rate. We want a unit rate where 1 is in denominator, so we divide the top and bottom by 6. (Remember, unit means 1.)

\(\frac{30/6}{6/6}=\frac{5}{1}\)

Therefore, our answer is 5.

Answer:

B

Step-by-step explanation:

Every time X increases by 1, Y increases by 2 which is consistent

Answer:

Step-by-step explanation:

= n^2 + (3n^2 + 3n + 1 / n-3) = 3n

= BTW (/ = Fraction) and ^ means exponent

= n^2 + 3n + (12n + 1 / n - 3) = 12

= 37 / n - 3

Answer: n^2 + 3n + 12 +( 37 / n - 3)

Hope this helps :D

Answer:

Is there a picture?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Factoring out means taking out a Number, or an unknown quantity.

So, Factor out 1/2:

New equation with old step by step:

Step 1:

Step 2:

New equation:

Answer:

A is the answer from what i know....

Step-by-step explanation:

Answer:

w=12

Step-by-step explanation:

3.6w=2(0.8w+12)

3.6w=2x0.8w+2x12

3.6w=1.6w+24

3.6w-1.6w=24

2w=24

w=12

HOPE THIS WILL HELP;)