Enter the first 4 terms of the sequence defined by the given rule. Assume that the domain of each
function is the set of whole numbers greater than 0.
f(1) = 3, f(n)=(-7).f(n-1)+19
The first 4 terms of the sequence are
and

Answer:

Rational

Step-by-step explanation:

Irrational numbers go on forever

The decimal number 104.25 is a rational number.

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.

The decimal number is given below.

⇒ 104.25

There are only two-digit after the decimal place which means the number gets terminated.

Then the decimal number 104.25 is a rational number.

More about the rational number link is given below.

https://brainly.com/question/9466779

#SPJ2

Answer:

Part A: 60

Part B: Each cup of coffee costs 2.5 dollars

Part C: Each donut costs 1.75 dollars

Part D: Sonario spent 123.75 dollars in coffee and donut holes

Part E: The number of cups of coffee bought are 25 cups of coffee

The number of donut holes bought are 35 donut holes

Step-by-step explanation:

The given parameters are;

c + d = 60

2.5 × c + 1.75 × d = 123.75

Part A

Whereby the number of cups of coffee bought = c, and the number of donut holes bought = d, then, the total number of cups of coffee and donuts bought is c + d = 60

Part B:

From the second equation for the total cost of cups of coffee and holes of donuts, the coefficient multiplying the variable representing an item is the cost of the item

Therefore, each cup of coffee costs 2.5 dollars

Part C:

Using the method from above, each donut costs 1.75 dollars

Part D:

From the equation for the total cost, Sonario spent 123.75 dollars in coffee and donut holes

Part E:

By the elimination method, we have;

c + d = 60

∴ c = 60 - d

Eliminating c in the equation for the total cost gives;

2.5 × c + 1.75 × d = 2.5 × (60 - d) + 1.75 × d = 123.75

150 - 2.5·d + 1.75·d = 150 - 0.75·d = 123.75

150 - 123.75 = 0.75·d

26.25 = 0.75·d

d = 26.25/0.78 = 35

d = 35

c = 60 - d = 60 - 35 = 25

c = 25

∴ c = The number of cups of coffee bought = 25 cups of coffee

d = The number of donut holes bought = 35 donut holes

Answer:

number of general admission tickets sold = 32

Number of VIP tickets sold = 8

Step-by-step explanation:

Total Number of tickets = 40

Cost of general admission tickets = $20

Cost of VIP tickets = $30

Total revenue = $880

Let

x = number of general admission tickets sold

y = number of VIP tickets sold

The equations are:

x + y = 40 (1)

20x + 30y = 880 (2)

From (1)

x = 40 - y

Substitute x = 40 - y into (2)

20x + 30y = 880

20(40 - y) + 30y = 880

800 - 20y + 30y = 880

10y = 880 - 800

10y = 80

y = 80 / 10

= 8

y = 8

Substitute y = 8 into (1)

x + y = 40

x + 8 = 40

x = 40 - 8

= 32

x = 32

number of general admission tickets sold = 32

Number of VIP tickets sold = 8

Answer:

5

Step-by-step explanation:

nearest whole number for 24 16/17= 25, nearest whole number for 4 8/9= 5, 25/5=5

Answer:

[tex]question \: \: 4. : \\ 320 \: miles = 3 \: inches. \\ question \: \: 6. : \\586 \frac{2}{3} \: miles = 5.5 \: inches.\\ question \: \: 8. : \\ 9 \frac{1}{10} \: inches =1,092 \: feets.[/tex]

Step-by-step explanation:

[tex]question \: \: 4. : \\ if \: 80 \: miles = \frac{3}{4} \: inch \\ 320 \: miles = \frac{ \frac{3}{4} \: inch \times 320 \: miles }{80 \: miles} \\ \\ 320 \: miles \: = \frac{3}{4} \: inch \: \times 4 \\ 320 \: miles = 3 \: inches. \\ \\ question \: \: 6. : \\ if \: 80 \: miles = \frac{3}{4} \: inch \\ \\ 586 \frac{2}{3} \: miles = \frac{ \frac{3}{4} \: inches \times586 \frac{2}{3} \: miles }{80 \: miles} \\ \\ 586 \frac{2}{3} \: miles = \frac{440}{80} \: inches\\ \\ 586 \frac{2}{3} \: miles = 5.5 \: inches. \\ \\ question \: \: 8. : \\ if \: 1 \: inche = 120 \: feets \\ 9 \frac{1}{10} \: inches = \frac{9 \frac{1}{10} \: inches \times 120 \: feets }{1 \: inche} \\ \\ 9 \frac{1}{10} \: inches = \frac{91 \times 120}{10} \: feets \\ \\ 9 \frac{1}{10} \: inches =1,092 \: feets.[/tex]

Answer:

5. 34% 6. $190.73

Step-by-step explanation:

trust man just trust

Answer:

5) 52

6) $190.73

Step-by-step explanation:

5)

Let the unknown number be x.

40 is 77% of x

40 = 0.77x

Divide both sides by 0.77

x = 52

Answer: the number is 52.

6)

We first calculate the amount of tax which is 6.875% of $178.46.

6.875% of $178.46 =

= 0.06875 * $178.46

= $12.27

The amount of tax is $12.27.

Now we add the amount of tax to the price before tax.

$178.46 + $12.27 = $190.73

Answer:

x=20

Step-by-step explanation:

we see that the connection between y and x is that y is always 1/2 as much as x.

Answer:

can u add the question so we can help?

Step-by-step explanation:

Answer: B

Step-by-step explanation:

4 more than the product of 8 and n is represented as 8n + 4 because:

4 more means add 4 to it.

We see that option B gives up 8n + 4.

The expression in words is 4 more than the product of 8n.

The answer is B.

Answer:

8n + 4

Step-by-step explanation:

Product of 8 and n :  8*n = 8n

4 more than the product of 8 and n means 4 should be added to 8n

8n + 4

Answer:

8^20 / 2^8

Step-by-step explanation:

when it is raised. you multiply it.

Answer:

yeah it's B. false :)

Step-by-step explanation:

and to answer the other answer, it's just to help other people if the question isn't already on brainly

Answer:

The restaurant expect to sell more than 100 omelets

Answer:

They will certainly Sell more than 100.

Step-by-step explanation: Okay first we know that 15 can go into 60 4 times,4 x 4 is 16 + 2 (so we can make sure it is exactly equivalent to 4 and a half hours that is why we added 2) is 18. Multiply 6 x 18 to get the number of Omelletes sold, we get 108 Omellets sold, that is more than 100. So the answer should be More than 100 omelletes!

Answer: x=6

Step-by-step explanation:

156/26=6

therefore x=6

Answer:

I hope it's good enough

Step-by-step explanation:

Talia bought 4 watermelons for her annual watermelon summer party. She also spent an additional 9 dollars on the party supplies. The total amount she spent was less than 30 dollars. Write an equation to represent this word problem in which the amount of money each watermelon was is represented by x.

Answer:

3/9 or 1/3

Step-by-step explanation:

change in y over change in x is the slope

youre going up 3 and right 9, so 3/9 which simplifies to 1/3

Answer:

11, 12 is right

Step-by-step explanation:

if you do the equation the answer is 11.7473etc, and is in the middle of 11 and 12

Answer:

you marked the right one

Step-by-step explanation:

Answer:

4 bags cost 12 = 3 each bag so 3 x 7 = 21$

Step-by-step explanation:

B, C waaaaaaaaaaaaaaaaaaaaaa

Answer:

rod wave and 144 for sure

Step-by-step explanation:

rod wave is fat which means he is better

Answer:

12x12 is 144

Step-by-step explanatio

Answer:

A function is increasing on an interval if its slope is positive on that interval. That is, if you follow it to the right, it'll go up.

The graph increases at 3 and decreases at 1

A function is decreasing on an interval if its slope is negative on that interval. That is, if you follow it to the right, it'll go down.

Step-by-step explanation:

hope this helped

The function is increasing at (1, 0) and decreasing at (3, 0).

Given is a graph we need to determine what is the increasing and decreasing intervals of this graph,

If a function's slope is positive on an interval, the function is increasing on that interval. That is, it will go up if you follow it to the right.

The graph goes up at 3 and down at 1.

If a function's slope is negative on an interval, the function is declining on that interval. That is, it will descend if you follow it to the right.

Hence the function is increasing at (1, 0) and decreasing at (3, 0).

Learn more about increasing and decreasing intervals click;

https://brainly.com/question/11051767

#SPJ2

Answer:

x = -12.7

Step-by-step explanation:

[tex]8(x-27)+49=87+28x\\\\8x-167=87+28x\\\\8x-167+167=87+28x+167\\\\8x=28x+254\\\\8x-28x=28x-28x+254\\\\-20x=254\\\\\frac{-20x=254}{-20}\\\\ \boxed{x=-12.7}[/tex]

Hope this helps.

Answer:

x=-127/10 or x= -12.7

Step-by-step explanation:

8(x−27)+49=87+28x

Step 1: Simplify both sides of the equation.

8(x−27)+49=87+28x

(8)(x)+(8)(−27)+49=87+28x(Distribute)

8x+−216+49=87+28x

(8x)+(−216+49)=28x+87(Combine Like Terms)

8x+−167=28x+87

8x−167=28x+87

Step 2: Subtract 28x from both sides.

8x−167−28x=28x+87−28x

−20x−167=87

Step 3: Add 167 to both sides.

−20x−167+167=87+167

−20x=254

Step 4: Divide both sides by -20.

−20x/−20

=

254/−20

x=

−127/10

9514 1404 393

Answer:

Step-by-step explanation:

A graphing calculator provides a nice solution to this question.

__

1) Put 48 ft in for H and solve for t:

  48 = -16t^2 +80t

  -3 = t^2 -5t

  3.25 = t^2 -5t +6.25 = (t -2.5)^2

  t = 2.5 ±√3.25

The ball will first reach 48 feet at t = 2.5 -√3.25 ≈ 0.697224 seconds.

__

2) The equation tells us the maximum height occurs at t=2.5 seconds. That height is ...

  H = -16(2.5^2) +80(2.5) = 100

The maximum height is 100 feet. The ball will never reach 110 feet.

Answer:

D The rate of change is greater for Function B than for Function A

Step-by-step explanation:

A function shows the relationship between a dependent variable and an independent variable. A linear function is given as y = mx + b, where m is the rate of change, y is the dependent variable, x is the independent variable and b is the value of y when x = 0.

Function B is given by y = 3x + 2. Comparing with y =mx + b gives m = 3. Therefore the rate of change of function B is 3.

Function A has x: 0, 3, 9 and y:3, 9, 13. Using the points (0,3) and (3, 9), we an get the equation of the function. The formula is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3=\frac{9-3}{3-0}(x-0)\\ \\y-3=2x\\\\y=2x+3[/tex]

Function A is given by y = 2x + 3. Comparing with y =mx + b gives m = 2. Therefore the rate of change of function A is 2.

The rate of change is greater for Function B than for Function A

Answer:

Mean of chicken = 6 pounds, Standard Deviation of chicken = 0.6 pounds

Step-by-step explanation:

Given : Chickens mean & standard deviation = 3 & 0.4 pounds respectively. Chickens considered weigh twice actually now.

If all numbers in the series are multiplied by a constant, the mean gets multiplied by that constant. So, new mean = 3 x 2 = 6

If all numbers in the series are multiplied by a constant, the standard deviation gets multiplied by that constant. So, new standard deviation = 0.4 x 2 = 0.8

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679

Step-by-step explanation:

by google