What is the fifth term of the sequence defined by the recursive rule f(1) = 5, f(n)=f(n-1) + 3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Answer gets 53 points

Answers

Answer 1

Answer:

f(5) = 17

Step-by-step explanation:

Using the recursive rule and f(1) = 5 , then

f(2) = f(1) + 3 = 5 + 3 = 8

f(3) = f(2) + 3 = 8 + 3 = 11

f(4) = f(3) + 3 = 11 + 3 = 14

f(5) = f(4) + 3 = 14 + 3 = 17


Related Questions

what is 1/9x5/4??? i need this so i can pass one of my math standards so i do not go to summer school HELP ME!!!!

Answers

Answer:

Step-by-step explanation:

1/9x5/4

5/36

You multiply across

5*1 = 5

9*4 = 36

5/36

Hope this helps!

Good question the answer to your equation stated is 1/9x5/4 is equal to 5/36. Hope this helps.

‼️BRAINLIEST‼️ Find the value of z in parallelogram VWXY.

Answers

Answer:

8

Step-by-step explanation:

When you multiply 9 and 3 by 8 and then you subtract you get the same answer.

Two brothers, Mark and Charles, each inherit $27000. Mark invests his inheritance in a savings account with an annual return of 1.8%, while Charles invests his inheritance in a CD paying 4.8% annually. How much more money than Mark does Charles have after 1 year?

Answers

Explanation: After 1 year Mark has $27,486.00. After 1 year Charles has $28,296.00.

28,296-27,486=810

Answer: $810.00

Find 25% of 116 I don't know the answer​

Answers

Answer:

29

Step-by-step explanation:

Let's set up an equation...

25%*116=x

We can first convert 25% to a fraction. We can convert any percentage into a fraction by simply putting the number over 100...

[tex]\frac{25}{100}*116=x[/tex]

We can simplify 25/100 by dividing the fraction by 25/25. Note we can only do this because 25/25 is equivalent to 1, therefore meaning we are dividing  the fraction by 1.

[tex]\frac{1}{4}*116=x\\\frac{116}{4}=x\\x=29[/tex]


Find the volume of the prism.
6 m
7 m
8 m

Answers

Step-by-step explanation:

hello,

simply knowing the formula will lead you to the answer easily.

formula to find the volume of a prism:

v = bh, where b = base area and h = height.

here, in the picture given, the :

h of the prism = 6m

base area = length * width

b = 8 cm × 7 cm

b = 56 cm²

thus, using v = bh,

v = 56 × 6

v = 336 cm³

please try to understand, and let me know if you have any questions,

have an amazing day! au revoir!

50 POINTS! HURRY! Look at the graph.
Which triangle is similar to triangle A?

Answers

Answer:

The 4th image you have

Step-by-step explanation:

It preserves angle measurements and each side it multiplied by 2

Answer:

  C  (see attached)

Step-by-step explanation:

Similar right triangles will have the same ratio of short side to long side as the original.

That ratio for the given triangle is ...

  (3/2)/2 = 3/4

__

For the answer choices, (left-to-right) as supplied in this problem statement, the ratios are ...

  a) 2/2 = 1 . . . . . both sides are the same length

  b) 1/(3/2) = 2/3

  c) 3/4 . . . . . this is the triangle you're looking for

  d) 2/3


HELP ASAP PLEASE For the inequality, find two values for x that make the inequality true: x+3<70

A. 80
B. O
C. 70
D. 60
E. 69

Answers

Answer:

b,d

Step-by-step explanation:

80+3= 83 false

0+3=3 true

70+3= 73 false

60+3=63 true

69+3= 72 false

Hope this helps

[tex]\large\text{Hey there!}[/tex]

[tex]\large\textsf{x + 3}<\large\textsf{70}\\\\\huge\textbf{SUBTRACT 3 to BOTH SIDES}\\\\\large\textsf{x + 3 - 3}<\large\textsf{70 - 3}\\\\\huge\textbf{CANCEL out: 3 -3 because it give you 1}\\\\\huge\textbf{KEEP: 70 - 3 because it help what is}\\\huge\textbf{being compared to the x-value}\\\\\large\text{NEW EQUATION: \textsf{x}} < \large\textsf{70 - 3}\\\\\large\text{SIMPLIFY IT!}\\\\\large\textsf{x}< \large\textsf{67}\\\\\huge\textbf{Thus, your answer is: \boxed{\mathsf{x < 67}}}\huge\checkmark[/tex]

[tex]\large\textbf{It is an (O)(P)(E)(N) circle shaded to the LEFT side of the}\\\large\textbf{number starting at point 67.}[/tex]

[tex]\large\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Plot the image point P under the translation (x,y)→(x-4,y-6).

Answers

(−6,−4) would be your answer! (:

Write the first 5 terms for this sequence:

Answers

Answer:

3, -6, 12, -24, 48

Step-by-step explanation:

Given:

[tex]a_1=3[/tex][tex]a_{n+1}=-2 \cdot a_n[/tex]

Therefore,

[tex]a_1=3[/tex]

[tex]a_2=-2 \cdot a_1=-2 \cdot 3=-6[/tex]

[tex]a_3=-2 \cdot a_2=-2 \cdot -6=12[/tex]

[tex]a_4=-2 \cdot a_3=-2 \cdot 12=-24[/tex]

[tex]a_5=-2 \cdot a_4=-2 \cdot -24=48[/tex]

Which statement shows how the product of (x 3)2 demonstrates the closure property of multiplication? x2 9 may or may not be a polynomial x2 6x 9 may or may not be a polynomial x2 9 is a polynomial x2 6x 9 is a polynomial.

Answers

The product of (x + 3)² demonstrates the closure property of multiplication. [tex]\rm x^{2} + 6x + 9[/tex] is a polynomial. Option D is correct.

What is polynomial?

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

What is the closure property of multiplication?

A set is closed under an operation when we do that operation on the member of the set and we always get a set member.

Given

An expression is (x + 3)²

On simplifying, we have

[tex]\rm (x + 3)(x + 3)\\\\x (x + 3) + 3 (x + 3)\\\\x^{2} +3x +3x +3^2\\\\x^{2} +6x + 9[/tex]

Thus, [tex]\rm x^{2} + 6x + 9[/tex] is a polynomial.

More about the polynomial link is given below.

https://brainly.com/question/17822016

Answer:

Option D

Step-by-step explanation:

Brainliest for correct answer !! :)
f (x) = 3x - 5 g (x) =2^x Find f^-1 (x)

Answers

Answer:

f^-1(x) = (x +5)/3

also = 1/3 x + 5/3

Step-by-step explanation:

Just to be clear, the ^-1 has nothing to do with negative exponents. It just unfortunately looks the same as a negative exponent.

Anyway, there's three basic steps. First write y instead of f(x). Then switch the x and y. Then solve for y.

f(x) = 3x - 5

write y in place of f(x).

y = 3x - 5

SWITCH x and y.

x = 3y - 5

SOLVE for y.

-3y + x = -5

-3y = -x - 5

y = (-x - 5)/-3

y = (x + 5)/3

OR

y = (1/3)x + 5/3

f^-1(x) = 1/3 x + 5/3

What is the quotient?

x-3) 4x2+3x+2

Answers

4x+15
Divisor = x - 3

Ellen says that one and 2/5 equal 5÷7. Is she correct? Explain.

Answers

No because 2/5 is the same as 2 divided by 7, so 2/5 = 0.4 where 5 divide by 7 is 0.714….. so they’re not equal.

A high school championship football game was attended by 1580 fans. there were 640 were out of state fans at the game. the other fans were local. What is the ratio?
A) 15/14
B) 32/79
C) 49/79
D) 32/47
CORRECT ANSWER GETS BRANLIEST!

Answers

Answer:its 32/47 i saw He correct answeri s

Step-by-step explanation:

Simplify (6x2 − 3 5x3) − (4x3 − 2x2 − 16). 2x3 − x2 21 −2x3 x2 − 21 x3 8x2 13 −x3 − 8x2 13.

Answers

Like term's coefficient are added in addition of algebraic terms. The simplified form of the given expression is [tex]x^3 + 8x^2 + 13[/tex]

What are like terms?

Those terms which have same variables raised with same power.

For example, [tex]5t^3[/tex]  and [tex]6t^3[/tex] are like terms since variable is same, and it is raised to same power 3.

For example [tex]x^3[/tex] and [tex]3x^4[/tex] are not like terms as the variables are same but powers aren't same.

What are coefficients?

Constants who are in multiplication with variables are called coefficients of those variables.

When can we add or subtract terms of polynomial by their coefficient's addition or subtraction?

Suppose we have

[tex]5x^2 + 6y[/tex]

Since those terms are not like terms, their coefficient won't be add and the expression we've got right now, is its simplest form and cannot be reduced more.

If we have, suppose,

[tex]4x + 5x^2 + 2x[/tex]

then we see that [tex]4x[/tex] and [tex]2x[/tex] are like terms, their coefficient can be added and thus, the simplified form would be

[tex](4+2)x + 5x^2 = 6x + 5x^2[/tex]

For the given case, the considered expression is simplified as:
[tex]= > (6x^2 - 3 + 5x^3) - (4x^3 - 2x^2 - 16)\\= 6x^2 - 3 + 5x^3 -4x^3 + 2x^2 + 16\\ = 5x^3 - 4x^3 + 6x^2 + 2x^2 - 3 + 16\\= (5-4)x^3 + (6+2)x^2 + 13\\= 1.x^3 + 8x^2 + 13 \\= x^3 + 8x^2 + 13[/tex]

(variables with 1 as coefficient is not written explicitly as 1 is factor of all measurements).

Sign multiply by

[tex]-ve \times (+ve) = -ve\\(-ve) \times (-ve) = +ve\\(+ve) \times (+ve) = +ve\\(+ve) \times (-ve) = -ve[/tex]

where -ve, +ve are sign of operands and result.

Thus, the simplified form of the given expression is [tex]x^3 + 8x^2 + 13[/tex]

Learn more about simplification of expressions here:

https://brainly.com/question/26437497

Find the percent change. Round to the nearest tenth of a percent when necessary.
From 33 to 34.

Answers

Answer:

3.03%

Step-by-step explanation:

Given the following question:

[tex]\frac{34-33}{33} \times100=34-33=1\div33=0.0303030303\times100=3.0303030303[/tex]
[tex]3.0303030303[/tex]
[tex]0<5[/tex]
[tex]3.03[/tex]

33 to 34 is a "3.03 percent increase."

Hope this helps.

Jamie has saved $8,800 and is spending $45 per
week.
a. Write an equation in slope intercept form
describing the amount of money she has (y) after x
weeks.
b. How miuch money will Jamie have after 30
weeks?
c. How many weeks will Jamie have only $250
left?

Answers

Answer:

I think the answer is 500$ in total

Step-by-step explanation:

I did it adding then subtracting.

1. Which number is irrational?
(A) (B) (C) 0.3333 (D)
2. In which group are the numbers arranged in order from smallest value to largest value?
(A) π, 3.14, (B) 3.14, π
(C) , 3.14, π, (D) 3.14, , π,
3. Write the following numbers in order from smallest value to largest value:
1.75, 1
Justify your answer.
4. If 2x2 – x + 6 is subtracted from x2 + 3x – 2, the result is
(A) x2 +2x–8 (B) x2 –4x+8 (C) –x2 +2x–8 (D) –x2 +4x–8
5. Which point on the accompanying number line best represents the position of ?
(A) A (B) B (C) C (D) D

Solve the problem and explain the steps taken. There are four students working on a project in math class. Miguel has completed 1/8 of the project, Gina has completed 13% of the project, Jatziry has completed 0.10 of the project, and Kwa has completed 19 of the project. Makw a list of students in order from least to greatest by the amount of the project they have completed.

Answers

Answer:

10%

12.5%

13%

19%

Step-by-step explanation:

First write all of the amounts as a percent.

1/8 = 12.5%

13%

.10 = 10%

19%

Then you can order them from least to greatest.

10%, 12.5%, 13%, and then 19%

hope this helps

ill give 5 stars if u correct

Answers

Answer:

A.

Step-by-step explanation:

On graph A, all 4 points (G, P, R, and S) are all in the correct order. Options B and D are easy to eliminate because we know that none of the nests are actually at the center.

~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let me know if you have any questions! Spread the love.

Answer:

A.

Step-by-step explanation:

Options A and B are the only number lines with the blue point at the right spot (You can see it is 1/2 mile away so it goes in the middle of 1 and 2). Between these 2 only number line A has the red dot in the right spot (it belongs at -0.25 which is 1 spot left of the center 0).

can any one solve this please?
and with step-by-step explanation.

Answers

Answer:

2/3

Step-by-step explanation:

Probability of choosing an eclair = 1/15

This means that there is 1 eclair in every 15 sweets.

As there are 3 eclairs, there are 3 x 15 = 45 sweets in total.

Now we can write an expression for the total number of sweets and solve for x:

Total number of sweets = 3 + (2x + 6) + x = 45

⇒ 3x + 9 = 45

⇒ 3x = 45 - 9

⇒ 3x = 36

⇒ x = 36 ÷ 3

⇒ x = 12

Now we have found x, we can determine the number of humbugs in the jar by substituting x = 12 into 2x + 6:

(2 x 12) + 6 = 30

So the probability the sweet is a humbug is 30 / 45 = 2/3

Find a polynomial that represents the area of the triangle in inches.

Answers

Answer:

(3x²-3.5x+1)in²

Step-by-step explanation:

area of a triangle = ½(base × height)

= ½(2x-1)(3x-2)

= ½(6x²-4x-3x+2)

= ½(6x²-7x+2)

= 3x²-3.5x+1

A polynomial that represents the area of the triangle is (3x²-3.5x+1)in²

Evaluate the expression below when x = -2.

x^2 − 8
x + 6
A.
-3
B.
-1
C.
1/2
D.
3/2

Answers

Answer:

-1

Step-by-step explanation:

(x^2 - 8) / ( x+6)

Let x = -2

(( -2)^2 -8)/ ( -2+6)

(4-8)/(-2+6)

-4/4

-1

Answer:

( -1 )

Step-by-step explanation:

Given that,

[tex]\frac{(x^{2}-8) }{(x+6)}[/tex]

Also given that,

x = -2

So, to solve the above expression, you have to replace x with ( - 2 )

Let us solve.

[tex]\frac{(x^{2}-8) }{(x+6)}[/tex]

[tex]\frac{((-2^{2})-8) }{(-2+6)}[/tex]

[tex]\frac{4-8 }{(4)}[/tex]

[tex]\frac{-4 }{(4)}[/tex]

[tex]-1[/tex]

Hope this helps you :-)

Let me know if you have any other questions :-)

Help me pleaseeeeeeeeeeeeeee

Answers

Answer:

WUJV

Step-by-step explanation:

============

hope this helps.

The base of an inosceles triangle is 30" and the altitude to that base is 8" Find the length of one of
the two equal sides of the triangle.

Answers

Want to use Pythagorean theorem here, a^2 + b^2 = c^2
15^2 + 8^2 = C^2

C= 17

A book sold 38,300 copies in its first month of release. Suppose this represents 6.3% of the number of copies sold to date. How many copies have been sold to date?
Round your answer to the nearest whole number.

Answers

Answer:

35,887.1 because 38300×93.7 ➗ 100

Problem situation:
Janelle is at the movie theater and has $20
$
20
to spend.
She spends $8
$
8
on a ticket and wants to buy some snacks. Each snack costs $4.99
$
4.99
.
How many snacks,
x
, can Janelle buy?

Inequality that represents this situation:
20≥8+4.99
20

8
+
4
.
99
x


Drag each number to show if it is a solution to both the inequality and the problem situation, to the inequality only, or if it is not a solution.

Answers

Answer:

Step-by-step explanation:

20 - 8 =

12

12 / 4.99 =

2.40

Janelle can buy 2 snacks

20≥8+4.99

-8

12≥4.99

-4.99

7.01≥4.99

-4.99

2.02≥4.99 - Not true

Please help I tried doing this. It’s due tomorrow please help! Give me an explanation please by the way!

Answers

Example of sphere with a volume

[tex]\pi = 6.15[/tex]

V volume

I need an answer to this math problem.

Answers

The greatest common factor is c^2

This is because c^2 is the most that you can divide both numbers by.

Answer:

Step-by-step explanation:

Finding the factors:

7c³=7×c×c×c

8c²=2×2×2×c×c

Here,

c×c is common in both terms

Hence,GCF=c²

solve for n 50 points

a=p(1+r/n)^rn

Answers

Answer:

[tex]n = \frac{r}{\sqrt[nt]{\frac{a}{p}} -1 }[/tex]

Step-by-step explanation:

[tex]a=p(1+\frac{r}{n} )^{nt}[/tex]

[tex]\frac{a}{p} =(1+\frac{r}{n} )^{nt}[/tex]

[tex]\sqrt[nt]{\frac{a}{p}} =(1+\frac{r}{n} )[/tex]

[tex]\sqrt[nt]{\frac{a}{p}} -1 =(\frac{r}{n} )[/tex]

[tex]n = \frac{r}{\sqrt[nt]{\frac{a}{p}} -1 }[/tex]

[ Do not confuse, as there are 2 n's, one in subject and another as power. We can never make the power or in a root, the subject. In order to solve for n, we have to make the character "n", the subject. ]

Chip worked a the animal shelter for 6 hours each week for several weeks he for a total of 42 hours how many wees did chip work at the animal shelter

Answers

Answer:

Chip worked 7 weeks

Step-by-step explanation:

Set up as proportion and cross multiply to solve:

6 hours/1 week = 42 hours/x

x = 7

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