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

Answer:

WUJV

Step-by-step explanation:

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hope this helps.

Answer:

c²

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

Answer:

I think the answer is 500$ in total

Step-by-step explanation:

I did it adding then subtracting.

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

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]

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.

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

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

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

Answer:

3, -6, 12, -24, 48

Step-by-step explanation:

Given:

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]

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

Answer:

35,887.1 because 38300×93.7 ➗ 100

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!

Answer:

Step-by-step explanation:

1/9x5/4

5/36

You multiply across

5*1 = 5

9*4 = 36

5/36

Hope this helps!

Answer:

8

Step-by-step explanation:

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

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]

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

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

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]

Example of sphere with a volume

[tex]\pi = 6.15[/tex]

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.

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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).

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. ]

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.

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.

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:

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

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 :-)

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.

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