A sequence is defined by the recursive function f(n + 1) = –10f(n). If f(1) = 1, what is f(3)?

Answers

Answer 1

Answer:

f(3) = 100

Step-by-step explanation:

Using the recursive formula and f(1) = 1 , then

f(2) = - 10 f(1) = - 10 × 1 = - 10

f(3) = - 10 f(2) = - 10  × - 10 = 100

Answer 2

Answer:

100

Step-by-step explanation:


Related Questions

a carpenter can make 30 chairs, 25 tables and 15 beds in a month. what proportion of the carpenter's output is bed.​

Answers

Answer:

3/14

Step-by-step explanation:

Express the beds as a fraction of the total output.

Beds = 15

Total output = 30 + 25 + 15 = 70

Proportion that is beds = 15/70

15/70 = 3/14

and the Aegean Sea is located at
On the map above, the Black Sea is located at
A Letter A Letter C
B. Letter C Letter B
C Letter A Letter B
D. Letter B Letter A

Answers

Pretty sure the answer is C

Answer:

The answer to your question is C.

Step-by-step explanation:

Have a nice day :)

Gavin was thinking of a number. Gavin halves the number and gets an answer of 34.3. Form an equation with x as information.

Answers

Gavin's number is 68.6

Equation: 1/2(x) = 34.3

Use inverse operations on both sides.

1/2(x) = 1x or x = 34.3(2)

34.3(2) = 68.6

Thus, x equals 68.6

Gavin's number is 68.6.

What is  multiplication?

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,

Gavin halves the number and gets an answer of 34.3.

now, we get,

Equation: 1/2(x) = 34.3

Use inverse operations on both sides.

1/2(x) = 1x

or x = 34.3(2)

i.e. 34.3(2) = 68.6

Thus, x equals 68.6.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

Quinn tried to evaluate an expression step by step. which step did she do wrong there is a selection for not mistake

Answers

Answer:

Quinn did not make a mistake. This is because everything she did is correct and also if we calculate the expression without doing anything she did, we see that she has the right answer.

Answer:

she didn't make any mistake

Step-by-step explanation:

She has expressed it correctly and if we calculate, the multiplication is also correct

what is i^84? a) -i b) i c) -1 d) 1

Answers

Answer:

D) 1

Step-by-step explanation:

When you start raising i to certain powers, you begin to notice a pattern.

[tex]i^1=i \\\\i^2=-1 \\\\i^3=-i \\\\i^4=1 \\\\i^5=i \\\\ i^6=-1 \\\\ i^7=-i \\\\i^8= 1[/tex]

This cycle repeats forever. Since 84 is a multiple of 4, i^84 must be 1. Hope this helps!

Answer: 1

Step-by-step explanation:

Use the drop-down menus to complete each equation so the statement about its
solution is true
CLEAR
CHECK
No Solutions
7 - 5+32 – 1=_ x +_
One Solution
7 - 5+32 – 1= _x+_
Infinitely Many Solutions
7-5+32 – 1 = _x+_

Answers

Numbers could also mean 9

Answer:

1.3x+9

2.1x+4

3.3x+1

Step-by-step explanation:

what is the linear function ?

Answers

Answer:

f(x)= 5x+2

Step-by-step explanation:

Slope is 5, y intercept is (0,2)

Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8). If the coordinates of the pre-image of point B are
(4, –5), what are the coordinates of B'?

Answers

Answer:

B'(6,-3)

Step-by-step explanation:

Answer:

its B on edgenuity

Step-by-step explanation:

If 3/x=5/y, what is the value of y/x?

Answers

Answer:

5/3

Step-by-step explanation:

multiply the whole thing by y to get 3y/x=5 and then divide by 3 to get y/x=5/3

Answer:

y/x=5/3

Step-by-step explanation:

3/x=5/y ⇒ y/x=5/3  replacing y with 3

Pls help me. The one with the symbol are the answer choices for the questions

Answers

Answer:

Step-by-step explanation:

∈ symbol indicates the data set on the left side is fully included in the data set on the right side

Find the common ratio for the geometric sequence for which a1=1 and a5=625

Answers

Answer:

r = 5

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r is the common ratio

Here a₁ = 1 and a₅ = 625, thus

1 × [tex]r^{4}[/tex] = 625 , so

r = [tex]\sqrt[4]{625}[/tex] = 5

The common ratio of the geometric sequence is 5 if the geometric sequence for which a1=1 and a5=625 the answer is 5.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have a geometric sequence for which:

The first term a1 = 1

and fifth term:

a5 = 625

As we know, the geometric sequence follows a certain arithmetic rule of multiplication.

The nth term of the geometric sequence is:

a(n) = arⁿ⁻¹

a1 = a = 1

a5 = ar⁵⁻¹ = 625

Take the ratios:

a/ar⁵⁻¹ = 1/625

r is the common ratio.

1/r⁴ = 1/625

r⁴ = 625

r = 5

The common ratio is 5.

Thus, the common ratio of the geometric sequence is 5 if the geometric sequence for which a1=1 and a5=625 the answer is 5.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ5

Analyze the graph below and answer the question that follows. / What is the angle of rotation from RST to R'S'T' ? Assume that the center of rotation is the origin. A. 180° clockwise B. 90° clockwise C. 90° counterclockwise D. 270° counterclockwise

Answers

Answer:

C

Step-by-step explanation:

This could be either 90° counterclockwise or 270° clockwise but the latter is not an option so the answer is C.

Answer:

d

Step-by-step explanation:

Which is a y-intercept of the graphed function?
(-9.0)
(-3.0)
(0, -9)
(0.-3)

Answers

Answer: (0,-9)

Step-by-step explanation:

(0,-9) is the y-intercept because it is the point at which the function crosses the y-axis.

In this set of pairs of (x,y) numbers, y is directly proportional to x
Complete the following (2,3) (5,7.5) (6, ?) (?,13.5) (?,?)
What is the constant of proportionality k if y = kx?

Answers

Answer:

(6, 9) (9, 13.5) (10, 15) and k = 1.5

Step-by-step explanation:

We can plug the given points into the equation y = kx

3 = k(2)

1.5 = k (constant of proportionality)

Then, we can use this to complete the other pints.

y = 1.5(6)

y=9, so (6, 9)

13.5 = 1.5(x)

9 = x, so (9, 13.5)

If we follow the pattern, the last point should be (10, 15)

If f(x) = 3x + 10 and g(x) = 2x - 4, find (f-9)(x).

Answers

Answer:

work is pictured and shown

ANSWER SOON PLEASE! I WILL MARK BRANLIEST! The equation 7 x minus 10 y = 30 is written in standard form. What is the first step when writing an equivalent equation which solves for y? Add 7x to both sides of the equation. Subtract 7x from both sides of the equation. Add 30 to both sides of the equation. Subtract 30 from both sides of the equation.

Answers

Answer:

Subtract -7x from both sides

Step-by-step explanation:

You want to isolate the y term on one side of the equation

Answer:

The answer is option 2.

Step-by-step explanation:

The first step to solve for y, you have to subtract 7x on both sides in order to make y as a subject :

[tex]7x - 10y = 30[/tex]

[tex]7x - 10y - 7x = 30 - 7x[/tex]

[tex] - 10y = 10 - 7x[/tex]

I bought 5 gallons of gas for 1770 what is the unit price for gas per gallon​

Answers

Answer:

Brainleist!

Step-by-step explanation:

1770/5 = the unti price

1770 / 5 = 354

Answer:

354

[tex]solution \\ cost \: of \: 5 \: gallons \: of \: gas = 1770 \\ cost \: of \: 1 \: gallons \: of \: gas = \frac{1770}{5} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 354 \\ [/tex]

hope it helps...

good luck on your assignment

Marvin the fly starts at $(0,0).$ Each step, Marvin moves one unit right or one unit up. He is trying to get to the point $(5,7)$. However, at $(4,3)$ there is a frog that will eat him if he goes through that point. In how many ways can Marvin reach $(5,7)$?

Answers

Answer:

The answer is "728 routes"

Step-by-step explanation:

The number of ways to proceed from (0, 0) to (5, 7) is as follows:

[tex]\Rightarrow \frac{(7+5)!} {(7! \times 5!)} \\\\ \Rightarrow \frac{12!}{(7! \times 5! )}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8 \times 7!}{7! \times 5!}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8}{5!}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8}{5\times 4 \times 3 \times 2 \times 1}\\\\\Rightarrow \frac{ 11 \times 9 \times 8}{1}\\\\\Rightarrow 11 \times 9 \times 8\\\\\Rightarrow 11 \times 72\\\\\Rightarrow 792[/tex]

We would like to delete the ways of (0, 0) to (2, 3)  That's the resolution:

[tex]\Rightarrow \frac{(3+2)!}{(3!\times2!)} \\\\ \Rightarrow \frac{5!}{(3!\times2!)} \\\\\Rightarrow \frac{5\times 4\times 3! }{(3!\times2 \times 1)} \\\\\Rightarrow \frac{5\times 4}{(2 \times 1)} \\\\\Rightarrow \frac{5\times 2}{1} \\\\\Rightarrow 10 \ ways[/tex]

[tex]So, \\\\ \Rightarrow 792 -10 \\\\ \Rightarrow 782 \ routes[/tex]

Which number appears farther to the right on the number line?

Answers

Do you have an picture?

nine business associates share $736800 from the sale of their company calculate to the nearest count how much they each receive

Answers

Step-by-step explanation:

1 business = 736800 ÷ 9 = 81866.66

Each business associates 81866.66

please explain how to do this

Answers

Answer:

61%

Step-by-step explanation:

Area of square:

=a²

=12²

=144

Area of two quarter circles:

=2(¼×π×r²)

=2(¼×π×6²)

=2×28.72

=56.55

Finding the percentage:

=(56. 55÷144)×100

=0.3937×100

=39.27

subtract 100% by 39.27% to find the percentage of how much is shaded

=100-39.27

=60.73

=61 (rounded off to the nearest whole percent)

Good luck dawg 420 the cow jumped over the moon

someone figure this one out

Answers

Answer:

c

Step-by-step explanation:

We see that for x≤2 y = x + 2 so the answer is C.

what is the key vocabulary of cubic functions

Answers

Answer:

Hope it helps!

Step-by-step explanation:

The general form of a cubic function is y = ax3 + bx + cx + d where a , b, c and d are real numbers and a is not zero. We can graph cubic functions by plotting points.

A cubic function is any function of the form y = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants, and a is not equal to zero, or a polynomial functions with the highest exponent equal to 3. These types of functions are extremely prevalent in applications involving volume.

Credits;

Graphs of Cubic Functions (solutions, examples, videos)

Cubic Function: Definition, Formula & Examples - Video & Lesson

For cones with radius 6 units, the equation =12ℎ V = 12 π h =12ℎ V = 12 π h relates the height ℎ h ℎ h of the cone, in units, and the volume V V of the cone, in cubic units.

Answers

Answer:

Step-by-step explanation:

The question is not properly structured. Here is the complete question.

For cones with radius 6 units, the equation V=12\pi h relates the height h of the cone, in units, and the volume V of the cone, in cubic units. Sketch a graph of this equation on the axes.

The formula for calculating the volume of a cone is expressed as shown;

[tex]V = \frac{1}{3} \pi r^{2} h[/tex] where r is the radius and h is the height.

Given radius r = 6units, on substituting;

[tex]V = \frac{1}{3}*\pi *6^{2}*h\\ V = \frac{36\pi h}{3}\\V = 12\pi h... (1)[/tex]

It can be seen from the derived volume of the cone that it is linear in nature. The volume of the cone has a linear relationship with its height. As the volume increases, the height also increases and vice versa.

Generally for a direct variation

[tex]if\ y\ \alpha x \ \\y = kx[/tex]

where k is the constant of proportionality. comparing to equation 1, k = 12π.

Find the graph attached

Find the area of a triangle, two sides of which are 10 cm and 16 cm and the perimeter is 38 cm.

Answers

perimeter of triangle=a+b+cbut first we have to find the value of the third sideso here, a=10 b=16 c=xnow, 10+16+x=38 26+x=38 x=38-26 x=12area of triangle= 1/2×base×height = 1/2×16×9(height = 9 ,but why??here it is,using Pythagoras theorem, m²-1=8 m²+1=10so, m=9)

continuation: =8×9 =72the area is 72 cm

hope it helped :-)

Answer:

Step-by-step explanation:

third side=38-(10+16)=38-26=12

sides are 10 cm, 12 cm , 16 cm.

2s=10+12+16=38

s=38/2=19

area=√(s(s-a)(s-b)(s-c))

=√[19(19-10)(19-12)(19-16)]

=√[19×9×7×3]

=3√391 cm²

≈59.32 cm²

i think of a number, multiply it by itself and then add 6 to the result

Answers

Answer:

x²+6

Step-by-step explanation:

Let the number be x

⇒ Multiplying it by itself makes x × x = x²

⇒ Adding 6 makes it x²+6

Answer:

[tex] {x}^{2} + 6[/tex]

Step-by-step explanation:

thinked number = x

multiply by itself = x *x

[tex]x \times x \\ = {x}^{2} [/tex]

add 6 =+6

[tex] {x}^{2} + 6[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Andy left a 15% tip for a meal that cost $38. What was the total cost of the meal including the tip? whit solution

Answers

Answer:

Your Answer is $43.7

Step-by-step explanation:

Take the initial $38 and Multiply it by the .15 (15%) tip

You get a $5.7 tip

Add that to the meal cost of $38 and you get $43.7

A force of 76 N is applied to an area of 490 cm2. Calculate the pressure in N/m2. Give your answer to the nearest integer.

Answers

Answer:

Given

Hope it helps

Step-by-step explanation:

Pressure is the force per unit perpendicular area over which the force is applied

p=F/A

Where f is force and a is area

So P

= F/A

= 76N / 0.049m2

= (76/0.049) Nm2

= 76000/49

= 1551.02

Or 1551 N/m2

One eighth of the students in
the class are in the school band.
What fraction of the total number
of students are not in the band?

Answers

Answer:

7/8 aren't in the school band

PLEASE HELP FOR A BRAINLIEST!!!! Create your own example and explain how to solve Quadratic Equation using Quadratic Formula. What part in the Quadratic Formula is the discriminant and how do you know the number of solutions based on the value of the discriminant? Pls pls help I need YALLS brains

Answers

Step-by-step explanation:

1. Create your own example and explain how to solve Quadratic Equation using Quadratic Formula.

The quadratic formula is used to solve quadratic equations. It is shown as   [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

A quadratic equation is generally shown in the form of [tex]ax^{2} +bx + c = 0[/tex]

For example, if you saw the equation  [tex]7x^{2} + 3x + 20 = 0[/tex]

7 would be [tex]a[/tex], 3 would be [tex]b[/tex], and 20 would be [tex]c[/tex].

To solve the equation above, you would fill in the quadratic formula as such, [tex]x=\dfrac{-3\pm\sqrt{(3)^2-4(7)(20)}}{2(7)}[/tex]

Then you could solve for x.

2. What part in the Quadratic Formula is the discriminant?

The discriminant is the equation under the square root on the quadratic formula, [tex]b^{2} - 4ac[/tex]

It is tells us whether there are two solutions, one solutions, or no solutions.

3.  How do you know the number of solutions based on the value of the discriminant?

To know the number of solutions based off of the value of the discriminant, you need to plug in your values. Using the example quadratic equation, [tex]7x^{2} + 3x + 20 = 0[/tex]

We will plug the values into the discriminant.

[tex]3^{2} - 4(7)(20) = -551[/tex]

Now, if the discriminant is positive it has two real solutions. If the discriminant is zero the equation has no real-number solutions. And finally, if the discriminant is negative, the equation has one real solution. Because our discriminant is -551, the example equation has one real solution.

Hope this helps! (Please consider Brainliest)

Other Questions
Need HelpPlease Assist If A(4 -6) B(3 -2) and C (5 2) are the vertices of a triangle ABC fine the length of the median AD from A to BC. Also verify that area of triangle ABD = Area of triangle ACD I will give brainlisest!!! Lines x and y are parallel.Parallel lines x and y are intersected by lines s and t. At the intersection of lines x, t, and s, clockwise from top left, the angles are blank, blank, (6 x + 8) degrees, blank, (7x minus 2) degrees, blank. At the intersection of lines x and y, the angles are 106 degrees, 1, blank, blank. At the intersection of lines y and t, the angles are 2, blank, blank, blank.Given the diagram, which statement is not true?m1 = (6x + 8) because they are corresponding angles.m1 = 74 because 1 is supplementary to the angle marked 106.m1 + (6x + 8) + (7x 2) = 180 because they can form a straight line which measures 180.(7x 2) + m2 = 106 because the sum of the remote interior angles equals the exterior angle. Please help with this question How did Thomas Edison help make cities According to the image, why would the Industrial Revolution have pleased consumers?safer? The probability that a biased coin will land on Heads is 0.43 Azmol is going to throw the coin 600 times. Work out an estimate for the number of times the coin will land on Tails. There is a tax rebate that everyone in the nation receives from the government of $1000. The market for laptops notices a shift because of this. What effect will this rebate have on the laptop market? Make K the subject of the formula [tex]t = \frac{mu {}^{2} }{k} - 5mg[/tex] Which is evidence that a chemical reaction has occurred? A) a phase change occurs B) a new gas is observed in the form of bubbles C) red and yellow paint mixing to make orange paint D) the temperature of the substance remains constant Which of the following describes the difference between drama and other prose and poetry? Unlike other literary genres, drama is written to be performed. Drama is closer in length to a short story than it is to a novel. Dramas do not contain a theme or lesson to be learned. Dramas were only written before 1900 and are no longer written today. PLZZZ HELP MEEE!!!!!!!!!! What result did Lincoln want to encourage with the Emancipation Proclamation?people seeing slavery as morallegislators compromising more with enemiespeople turning out to vote in midterm electionsslaves being free to join the Union army can someone do this ??? Let $\overline{XY}$ be a tangent to a circle, and let $\overline{XBA}$ be a secant of the circle, as shown below. If $AX = 15$ and $XY = 9$, then what is $AB$? MNQ and PNR are vertical angles. What is the value of x? There are 360 animals on a form 1/5 are cows and 3/8 are sheep then the numbers of cows is 13572 180 What is the difference between -5 and positive three Akwamba made this statement organization cannot be successful if managers fail to pay attention to the forces in the external environment. Do you agree or not. Justify using practical examples For the reaction A+BC+D, assume that the standard change in free energy has a positive value. Changing the conditions of the reaction can alter the value of the change in free energy (G). Classify the conditions as to whether each would decrease the value of G, increase the value of G, or not change the value of G for the reaction. For each change, assume that the other variables are kept constant.A. Adding a catalystb. B. Increasing [C] and [D]C. Coupling with ATP hydrolysisD. Increasing [A] and [B] Pls help me!!!!! I'm dead!!!!! I have like 40 of these things. Pls ;)