f(n) = 41 – 5n
Complete the recursive formula of f(n).
f(1) =
f(n) = f(n − 1)+

Answers

Answer 1

Answer:

f(1) = 36

f(n) = f(n-1) - 5.

Step-by-step explanation:

f(1) = 41 - 5 = 36.

f(n) = f(n - 1) - 5.


Related Questions

Montel needs to determine the distance from -3 to zero. Which statement best desribes the process Montel should use?

F. Find the absolute value of negative three.

G. Find the opposite of positive three.

H. Find the absolute vaule of positive three.

J. Find the opposite of negative three.​

Answers

Answer:

F

Step-by-step explanation:

Absolute value finds the distance between a number and 0, which is what the question is asking for -- the distance between -3 and 0.

What if the diameter of the inner sphere is 1.8 meters. What is the volume of the inflated space?

Answers

Answer:

Volume is 3.05m³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere

Step one

The formula for the volume of a sphere is expressed as

V=4/3πr³

Step two

Given data

Diameter d = 1.8m

Radius r = d/2= 1.8/2= 0.9m

Step three

Substituting our given data we have

V= 4/3*3.142*0.9³

V= 4/3*3.142*0.729

V= 9.162/3

V=3.05m³

A honey bee has a mass of 100 mg. How many bees would you need for a mass of 3 kg?

Answers

You’ll need 30,000 honey bees

Answer:

you need 3000000 bees

Step-by-step explanation:

1kg=1000000mg.

1000000x3=3000000

hope this helps, have a good day :)

A fast food chain surveyed a random sample of students to determine what pizza they prefer. Cheese pizza was preferred by 40 students. Pepperoni pizza was preferred by 28 students. Based on the results, how many of the 340 students can be expected to prefer cheese pizza?

Answers

Answer:

11.76

Step-by-step explanation:

We are given that,

Total number of students = 340

Students that prefer cheese pizza = 40

Students that prefer pepperoni pizza = 28

Thus, we get that,

The proportion of students that prefers cheese pizza =

i.e. The proportion of the students preferring cheese pizza = 0.1176 = 11.76%

Hence, 11.76% of the students prefer cheese pizza.

The grid you see below is in the shape of a rectangle. What is the area, in square
units, of the shaded part?​

Answers

Answer:

The area of the shaded region is [tex]18\ \text{units}^2[/tex].

Step-by-step explanation:

On the attached figure, a rectangle is shown. It is required to find the area of the shaded part. The shaded part forms a triangle. The area of a triangle is given by :

[tex]A=\dfrac{1}{2}\times b\times h[/tex]

b is base and h is height

From this figure, each box is a square of side 1 unit say.

Its height will be 4 units and its base is 9 units

So,

[tex]A=\dfrac{1}{2}\times 9\times 4\\\\A=18\ \text{units}^2[/tex]

So, the area of the shaded region is [tex]18\ \text{units}^2[/tex].

Brett is comparing the graphs of y = 2X and y = 5x. Which statement is true?

Answers

The correct question is:

Brett is comparing the graphs of y = 2^x and y = 5^x. Which statement is true?

(1) The y-intercept of y = 2^x is (0,2), and the y-intercept of y = 5^x

is (0,5). [

(2) Both graphs have a y-intercept of (0,1), and y = 2^x is steeper.

(3) Both graphs have a y-intercept of (0,1), and y = 5^x is steeper.

(4) Neither graph has a y-intercept.

Answer:

(2) and (3) are true.

Step-by-step explanation:

The correct options are:

(2) Both graphs have a y-intercept of (0,1), and y = 2^x is steeper. Since X < 0

(3) Both graphs have a y-intercept of (0,1), and y = 5^x is steeper. Since X > 0

A circle has a radius of 5/3 units and is centered at (9.2 -7.4)

Write the equation of the Circle.

Answers

Answer:

(x - 9.2)^2 + (y + 7.4)^2 = (5/3)^2

Step-by-step explanation:

We start with (x - h)^2 + (y - k)^2 = r^2.  The center is (h, k) and the radius is r.

Then we have:

(x - 9.2)^2 + (y + 7.4)^2 = (5/3)^2

Please Help Now Running out of time! In Sal’s sock drawer, there are 2 red, 2 blue, 2 yellow, 2 black, and 2 green socks. If he randomly picks one sock from the drawer, and then another, which fractions should Sal multiply to find the probability of choosing a pair of green socks?

Answers

Answer:

Step-by-step explanation:

C

Answer:

C

Step-by-step explanation:

2/10 1/9

Which fraction is greater than 3/5

4/6

6/12

3/8

4/10

Answers

Answer:

a.) 4/6

Step-by-step explanation:

3/5 = .6

4/6 = .666666666667

6/12= 0.5

3/8= .375

4/10= .4

Answer: 4/6

Step-by-step explanation:

IT IS THE BIGGEST. :)

what do I do if thre are 2 middles in a mean

Answers

You add them together and divide that sum by 2

Answer:

If there is an odd number of in one of the medians, the median is the center term. If there is just an even number of terms, add the two of th middle terms and then divide by 2to get your answer.

Mark as brainliest please I need a few more :D

Which has a value closest to 9?
✓99
V83
VIO
V63

Answers

Answer:

[tex]\sqrt{83\\}[/tex] has the closet value to 9 bc its 9.11

V83 because it makes the most sense

what are the solutions to the system of equations graphed below?

Answers

Answer:

(-3,-3) and at (0,6)

Step-by-step explanation:

The solution to the system of equations is where the graphs intersect

The graphs intersect at (-3,-3) and at (0,6)

An equilateral triangle has perimeter 57cm, what is the length of one of the sides?

Answers

Answer:

19 cm

Step-by-step explanation:

An equilateral triangle has all 3 sides the same length

P = 3s where s is the side length

57 = 3s

Divide each side by 3

57/3 = 3s/3

19 =s

un unitățile de măsurat lungimea mai mici decât unitatea principală sunt.......................... ................. Și................. Și se numesc................ Metrului. Decametrul, hectometrul și............. sunt................... metrului. ​

Answers

Answer:

english plz !!!!!!!!!!

Step-by-step explanation:

Which of the following inequalities is correct?

Answers

Answer:

a < b < c

Step-by-step explanation:

a is -4, which is less than b, at 1, and c at 7.

If this answer is correct, please make me Brainliest!

Answer:

the answer is a it cant not be b,c

write the equation of circle b with center B(-2,3) that passes through (1,2)

Answers

Answer:

[tex](x+2)^2 + (y-3)^2 = 10[/tex]

Step-by-step explanation:

The standard equation for circle is

[tex](x-a)^2 + (y-b)^2 = r^2[/tex]

where point (a,b) is coordinate of center of circle and r is the radius.

______________________________________________________

Given

center of circle =((-2,3)

let r be the radius of circle

Plugging in this value of center in standard equation for circle given above we have

[tex](x-a)^2 + (y-b)^2 = r^2 \ substitute (a,b) \ with (-2,3) \\=>(x-(-2))^2 + (y-3)^2 = r^2 \\=>(x+2)^2 + (y-3)^2 = r^2 (1)[/tex]

Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.

Plugging in the point (1,2 )  in equation 1 we have

[tex]\\=>(x+2)^2 + (y-3)^2 = r^2 \\=> (1+2)^2 + (2-3)^2 = r^2\\=> 3^2 + (-1)^2 = r^2\\=> 9 + 1 = r^2\\=> 10 = r^2\\=> r^2 = 10\\[/tex]

now we have value of r^2 = 10, substituting this in equation 1 we have

Thus complete equation of circle is [tex]=>(x+2)^2 + (y-3)^2 = r^2\\=>(x+2)^2 + (y-3)^2 = 10[/tex]

The value of an antique can be predicted by the expression 250 * (1.12) ^ t where is the number of years since 2014. What does the value 250 represent?

Answers

Answer:

mark brainlyest and I will

The value 250 represents the predicted value of antique in year 2014.

Given Expression,

[tex]250\times(1.12)^{t}[/tex]

Here [tex]t[/tex] represents the no. of years since 2014.

Now clearly 250 shows here the predicted price of the antique in year 2014 and [tex](1.12)^t[/tex] shows how much percent the product is increasing over the year.

Hence the value 250 represents the predicted value of antique in year 2014.

For more details on Decay rate problems follow the link:

https://brainly.com/question/8725872

Simplify 5(x – 7) + 6x.

Answers

Answer:

11x -35

Step-by-step explanation:

5(x – 7) + 6x.

Distribute

5x - 35 +6x

Combine like terms

11x -35

Answer:

11x-35

is the answer

A snack company makes three batches of a nut mix using the recipe shown.
Each batch contains a different total amount of mix.
Drag numbers to show how much of each type of nut should be used in each batch.

1 of the mix is pistachios.
of the mix is almonds
of the mix is cashews
PLEASE HELP!!!

Answers

Answer:

batch 1

3 cups cashews

batch 2

2/6 or 1/3 cups (simplified) of pistachios

batch 3

1 1/3 cups of almonds

2 cups of cashews

if the relationship is proportional, what is the missing value from the table?
A 8
B 9
C 12
D 14​

Answers

Answer:

C 12

Step-by-step explanation:

16 × 6 ÷ 8 = 12

check answer: 24 × 12 ÷ 16 = 18

Write a formula for quadratic function if its graph has the vertex at point (0,6) and passes through the point (−1,−2).

Answers

Answer:

y = - 8x² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (0, 6), thus

y = a(x - 0)² + 6, that is

y = ax² + 6

To find a substitute (- 1, - 2) into the equation

- 2 = a(- 1)² + 6, that is

- 2 = a + 6 ( subtract 6 from both sides )

- 8 = a

y = - 8x² + 6

The formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]

A quadratic function is represented as:

[tex]y = a(x - h)^2 + k[/tex]

The vertex of the quadratic function is given as:

[tex](h,k) = (0,6)[/tex]

So, we have:

[tex]y = a(x - 0)^2 + 6[/tex]

This gives:

[tex]y = ax^2 + 6[/tex]

The quadratic function passes through (-1,-2).

So, we have:

[tex]-2 = a(-1)^2 + 6[/tex]

[tex]-2 = a + 6[/tex]

Subtract 6 from both sides

[tex]a = -8[/tex]

Substitute -8 for a in [tex]y = ax^2 + 6[/tex]

[tex]y = -8x^2 + 6[/tex]

Hence, the formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]

Read more about quadratic functions at:

https://brainly.com/question/11631534

Simpson deposits $1,200 in a savings account that earns simple interest at the rate of 5%
per year. What interest does he earn at the end of 1 year?

Answers

Answer:

$60

Step-by-step explanation:

SI = (PRT)/100

SI = Simple Interest

P = Principal

R = Rate ( in decimal form)

T = Time

SI = (1200 x .5 x 1)/100

SI = 6000 / 100

SI = 60

Find the volume of the composite space figure to the nearest whole number.

Answers

Answer:

180cm^3

Step-by-step explanation:

Find the hypotenuse of each Isosceles right triangle when the legs are of the given measure.
Given = 6squareroot2

Answers

Answer:

12

Step-by-step explanation:

We can use the pythagorean theorem giving us:

a^2+b^2=c^2

(6sqr2)^2 + (6sqr2)^2 = c^2

72+72=c^2

144=c^2

12=c

How many triangles exist with the given angle measures?

Answers

Answer:  An infinite number

We're given angles adding to 180 degrees, so we can generate as many similar triangles with these angles as we like.  They'll all have the same shape but different sizes.

Answer:

1

Step-by-step explanation:

What is the volume of the composite figure? Express the answer in terms of pie.
1443 mm3
1687 mm3
3127 mm3
456 mm3

Answers

Answer:

3127

Step-by-step explanation:

YES

The volume of the given composite figure is 312π mm³

Given is a composite figure, having two solids, a cone and a hemisphere,

We need to find the volume of the solid, so for the same, we simply need to add the volumes of the cone and the hemisphere,

= 1/3 π r² h + 2/3 π r³

= 1/3 π r²[h+2r]

= 1/3 π 36[12+14]

= 312 π

Hence, the volume of the given composite figure is 312π mm³

Learn more about the volumes, click;

https://brainly.com/question/13338592

#SPJ7

simplify x^2+(y-9)^2=

Answers

Answer: Simplify each term.

x^2+y^2−18y+81

Step-by-step explanation:

Which graph represents -x+ 8y > - 24

Answers

Kind of need a picture to help answer the question.

(9x2+3x-5) - (3x2+4x-10)

Answers

Answer:

39

Step-by-step explanation:

I'm assuming x is supposed to be a multiplication sign.

You need to use PEMDAS for this:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

(9x2+3x-5)-(3x2+4x-10)=

(18-15)-(6-40)=

3-(-36)=

3+36=

39

What value of c makes the equation true? Assume x greater-than 0 and y greater-than 0

RootIndex 3 StartRoot StartFraction x cubed Over c y Superscript 4 Baseline EndFraction EndRoot = StartFraction x Over 4 y (RootIndex 3 StartRoot y EndRoot) EndFraction
c = 12
c = 16
c = 64
c = 81

Answers

Answer:

is C=64

Step-by-step explanation:

Answer:

c=64

Step-by-step explanation:

I took the test

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