Kevin started the number pattern shown below using the rule "start with 1, multiply the previous number by 3 then add 2 to the result to get the next number." 1, 5, 17, …… What is the fifth number in her pattern?

Answers

Answer 1

Answer: 161

Step-by-step explanation:

From the question, the rule is that we start with 1, multiply the previous number by 3 then add 2 to the result to get the next number.

Based on the numbers already given such as 1, 5, 17, the 4th number will be:

= (17 × 3) + 2

= 51 + 2

= 53

The 5th number will be:

= (53 × 3) + 2

= 159 + 2

= 161


Related Questions

Roger buys flowers to plant around his trees. 3/8 of the flowers are red. 1/3 of the flowers are pink. The rest of the flowers are white. Which of the following explains how to find the fraction of flowers that are white? A) Add 3/8 and 1, then subtract 1/3 from the sum. B) Add 3/8 and 1/3, then subtract the sum from 1. C) subtract 1/3 from 1, then add 3/8 to that difference. D) Subtract 1/3 from 3/8, then subtract the difference from 1.

PART B:
What fraction of the flowers are red or pink?
A) 4/11 B) 5/8 C) 17/24 D) 2/3

PART C:
What fraction of the flowers are white?
A) 7/24 B) 1/3 C) 3/8 D) 7/11

Answers

Answer:b, c, a

Step-by-step explanation:

Given

[tex]\frac{3}{8}[/tex] of the flowers are red

[tex]\frac{1}{3}[/tex] of the flowers are white

to get the white flowers, add the two fraction and subtract them from 1

fraction of white flowers

Part- B

Fraction of flower red or Pink

[tex]\Rightarrow \dfrac{3}{8}+\dfrac{1}{3}=\dfrac{17}{24}[/tex]

Part-C

fraction of flowers that are white

[tex]\Rightarrow 1-\dfrac{3}{8}-\dfrac{1}{3}\\\\\Rightarrow 1-\dfrac{9+8}{24}\\\\\Rightarrow 1-\dfrac{17}{24}=\dfrac{7}{24}[/tex]

Given that the measure of ∠x is 20°, and the measure of ∠y is 30°, find the measure of ∠z.

Answers

Answer:

130°

Step-by-step explanation:

20° + 30° =50°

a triangles full angle is 180°

180° - 50° = 130°

Help I’ll give Brainly est

Answers

the answer is C i think

Answer:

2x is less than 8 or B

Step-by-step explanation:

When looking at the number line you got to look to see if the circle is closed or not. In this case it is a closed circle meaning to include the number. Then look at what direction it is going toward. Is it increasing? Is it decreasing? In this case it is decreasing. Meaning that 2x is less than 8

NOT A - Reason why it is not a is because 8 is not included in the range of numbers

NOT C

use the area of the rectangle to find the area of the triangle 2 ft 9 ft

Answers

Answer:

[tex]\Huge\boxed{B}[/tex]

Step-by-step explanation:

Hello There!

The area of a rectangle is equal to length times width

2*9=18 so the area of the rectangle is 18 square feet

If a triangle is formed in a rectangle then that triangle is 1 half of the area of the rectangle

18/2=9 so the area of the triangle is 9 square feet

HELP ASAP. please show work tysm! solve for x

Answers

Answer:

71

Step-by-step explanation:

vertical sides  are congruent

x+30=101

x=71

p(x)+p(x+3)=10x-7 find p(3)​

Answers

Answer:

Simplify each term.

Px+px+3p=10x−7

Move all terms not containing P to the right side of the equation.

Px=10x−7−px−3p

Divide each term by x and simplify.

P=10−7/x−p−3p/x

Step-by-step explanation:

Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help please any ACE that can help please

Answers

Answer:

3

Step-by-step explanation:

The two quads are of similar, and we know that they are of ratio 1:2, thus

3y+5/7 = 2

y = 3

Answer:

y = 3

Step-by-step explanation:

The figures are similar so the ratios of corresponding sides are equal, that is

[tex]\frac{UR}{DA}[/tex] = [tex]\frac{TS}{CB}[/tex] , substitute values

[tex]\frac{4}{2}[/tex] = [tex]\frac{3y+5}{7}[/tex] ( cross- multiply )

2(3y + 5) = 28 ( divide both sides by 2 )

3y + 5 = 14 ( subtract 5 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

The farmer owned 100 acres of land. A year later he bought more property and then owned 140 acres. Is this a percent increase or decrease? Find the % change. Round to the nearest whole percent, if necessary.

Answers

Answer:

The percentage change (an increase) wa 40%.

Step-by-step explanation:

The beginning number of acres was 100; adding 40 more brought that to 140 acres.  This was an increase.  Dividing the increase (40) by the starting value (100) yields 0.40.  Finally, multiplying this result by 100% yields 40%.

The percentage change (an increase) wa 40%.

Account A: $300 monthly deposits, interest rate is 4.2%. Account B: $250 monthly deposits, interest rate is 5.1%. Which account will have a greater value at the end of 15 years?





a. Account A will be greater than Account B.





b. Account B will be greater because the interest rate is higher.





c. They will be worth about the same.





d. Not enough information.

Answers

Answer:

A

Step-by-step explanation:

We have to determine the future value of the annuity to determine which account has a greater value

Future value = Amount x annuity factor

annuity factor = Annuity factor = {[(1+r)^n] - 1} / r

Account A = 300 x[ (1.042)^15 - 1 ] / 0.042 = $6097.14

Account B = 250  x[ (1.051)^15 - 1 ] / 0.051 = $5435,42

Account A will be greater

can someone help me with this?
1⁵ + 5² / 25⁰ - 5¹=​

Answers

Answer: 6.5

Step-by-step explanation:

1 (to the power of 5) is 1 and 5 (to the power of 2) is 25.

25 (to the power of 0) is 1 and 5 (to the power of 1) is 5.

1 + 25 = 26 and 1 - 5 = -4.

Since the slash means division in math and any number to the power of 0 is always 1.

The answer would be: -6.5.

The solution for the expression  [tex]\frac{(1^5 + 5^2)}{(25^0 - 5^1)}[/tex] after simplifying is,

[tex]\frac{(1^5 + 5^2)}{(25^0 - 5^1)} = \frac{- 13}{2}[/tex]

We have to give that,

The expression to simplify is,

⇒ [tex]\frac{(1^5 + 5^2)}{(25^0 - 5^1)}[/tex]

Simplify the expression by simplifying each term in a given fraction,

⇒ [tex]\frac{(1^5 + 5^2)}{(25^0 - 5^1)}[/tex]

Since,

1⁵ = 1

5² = 5 × 5

= 25

25⁰ = 25

5¹ = 5

Substitute all the values,

⇒ [tex]\frac{(1 + 25)}{(1 - 5)}[/tex]

⇒ [tex]\frac{26}{-4}[/tex]

⇒ [tex]\frac{-26}{4}[/tex]

Simplify the fraction in simplest form,

⇒ [tex]\frac{- 13}{2}[/tex]

Hence, The solution is, - 13/2

To learn more about the fraction visit:

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Write the equation for the following quadratic relation in standard form:

a= -2 and with a vertex at (-3,4)

Answers

Answer:

3x-x+2=4

Step-by-step explanation:

Parallel/Perpendicular/Neither?*

Answers

Answer:

i think it might be A

Step-by-step explanation:

The Hot Dog Eating Contest
10 people entered the hot dog eating contest to see who could eat the most hot dogs in 15 minutes.
Each person was given a number and 10 bags of cooked hot dogs that contained 10 hot dogs per bag.
Person #1 ate 20 hot dogs
Person #2 ate 10 hot dogs
Person #3 ate 35 hot dogs
Person #4 ate 15 hot dogs
Person #5 ate 50 hot dogs
Person #6 ate 25 hot dogs
Person #7 ate 70 hot dogs
Person #8 ate 40 hot dogs
Person #9 ate 15 hot dogs
Person #10 ate 45 hot dogs
Altogether, how many bags of hot dogs were eaten during the contest?

Answers

Answer:

325 hot dogs were eaten during the contest.

Step-by-step explanation:

Just add all the hot dogs together. Wow, it's a lot though. :)

Please help fast
The graph below shows a company's profit f(x), in dollars, depending on the price of goods x, in dollars, being sold by the
company:

Part A: What do the x-intercepts and maximum value of the graph represent?
prefent? ?
Part B: What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and
profit?
Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent?

Answers

Maximum value is maximum profit
The x intercepts are the prices that profit equals zero

B
Increasing from - infinity to 3 and decreasing from 3 to infinity. When price is less than 3 every increase in price results in an increase in profit. When price is greater than 3, every increase in price results in a decrease in profit. So what this is saying about sales is that when you set the price beyond 3 bucks, the amount of people willing the buy at that price drops such that you start making LESS profit because less people are willing to buy, and the lack of buyers offsets the additional price that the others are paying.

C
The average rate of change is 60 and this represents the increase in profit per increase in price

4x+34x+3, when x=10x=10

Answers

Answer:

4x10=40

34x10=340

40+340+3= 383

Step-by-step explanation:

a woodworker makes wooden checkerboards. identify any zeros of the function, and interpret what the zeros mean in terms of the situation

Answers

I have attached an image showing the graph of the function.

Answer:

Zeros are x = $15 and x = $70 and they are the prices at which the woodworker will neither loss nor gain money.

Step-by-step explanation:

First of all, the zeros of a function f(x) are defined as the values of x where f(x) = 0. That is the points where the graph curve touches the x-axis.

Now, from the attached graph, when we locate the point that the curve touches the x-axis, it's at x = 15 and at x = 70.

This means that f(x) = 0 at x = 15 and at x = 70.

Now, from the graph; f(x) is the profit function. So when f(x) = 0, it means there is zero profit which implies no gain and no loss.

Thus, we can conclude that the prices at which the woodworker will neither loss nor gain money is when the price is; x = $15 and x = $70

2x+1=(-3)
what is the value of x??????​

Answers

Answer:

x=-2

Step-by-step explanation:

2x+1=(-3)

-1 on both sides

2x=-4

÷2 on both sides

x=-2

Hope this helps =]

what is the domain of the function?

Answers

Answer is -1 (A) because the domain is X and on the graph it is on the X -1

Answer:

Pretty sure its C, but in 10th grade math they would say the domain is (-∞,∞)

Step-by-step explanation:

pls mark brainliest if correct :)

Give the quotient in simplest form:

Answers

Answer:

Answer should be 5/2 I thinkkkkk

Answer:

2.5 or can be 5/2

Step-by-step explanation:

what ratio below is not equivalent to the ratio 10:35

Answers

Answer:

1/2

Step-by-step explanation:

In a ratio, two quantities are compared using division. It is used to indicate how big or small a quantity is when compared to another. Here among the given options only 2:7 is equivalent to 10:35. The correct options are A, B and C.

What is a ratio?

The ratio is defined as the comparison of two quantities of the same units. It indicates how much of the one quantity is present in the other quantity. The ratio are generally of two types, they are part to part ratio and part to whole ratio.

The part to part ratio denotes how distinct the entities or groups are related whereas the part to whole ratio denotes the relationship between a specific group to a whole. We use the ratio formula while comparing the relationship between two numbers or quantities.

Thus the correct option is A, B and C.

To know more about ratio, visit;

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Your question is incomplete most probably your full question was:

what ratio below is not equivalent to the ratio 10:35

A. 3:5

B. 2:4

C. 1:3

D. 2:7

60 yards is the same as __________ inches.

Answers

2160 Inches is 60 yards

NEED HELP PLEASE ANSWER FAST AND CORRECT.

Answers

Answer:

to prove:

mo=qo (given in the question)

angle m = angle q (given in the question)

angle MOP= angle QON (both the triangles meet at angle O so the angles are equal)

hence they are congruent.

Step-by-step explanation:

hope so its right

mark brainliest

True or false

(Question in the picture)

Answers

Answer:

False

48° + 77° + 66° ≠ 180°

Step-by-step explanation:

1÷2(2x+6)=4x-1

solve pls no links!!!​

Answers

Answer:

Step-by-step explanation:

1 ÷ 2(2x+6) = 4x-1

[tex]\frac{1}{2(2x + 6)} = 4x -1[/tex]

[tex]\frac{1}{2*2x+2*6 } = 4x - 1 \\\\\frac{1}{4x + 12} = 4x - 1\\[/tex]

1 = (4x - 1)(4x + 12)

Use FOIL method.

1 = 4x * 4x  + 4x *12 - 1 * 4x - 1*12

1 = 16x² + 48x - 4x - 12

1 = 16x² + 44x -12

0 = 16x² + 44x - 12 -1

16x² + 44x - 13 = 0

Given that 5^-n = 0.5
Find the value of (5^n)³​

Answers

Answer:

Step-by-step explanation:

3 = (-1) * (-3)

So, Now we can write

[tex](5^{n})^{3}= (5^{n})^{-1 * -3}\\\\= (5^{n*-1})^{-3}\\\\=(5^{-n})^{-3}\\\\= (0.5)^{-3}\\\\= \frac{1}{0.5^{3}}\\\\=\frac{1}{0.125}[/tex]

This is the answer. Hope this helps!

Can someone help me with this please?

Answers

The answer is C. sorry if I’m late :((

Please help this is geometry external angle theorem!! Will give BRAINLIST

Answers

The external angle is 120 degrees.

The length of a rectangle is triple the width. The perimeter is 54 m. Find the dimensions of the rectangle

Answers

Answer:

W = 6.75

L = 20.25

Step-by-step explanation:

2(w + 3w) = 54

8w = 54

w = 6.75

L = 20.25

suppose that 12 dimes and nickels are worth 95 cents. how many dimes and nickels are there? use systems of equations to solve.

Answers

Answer:

7 dimes and 5 nickles

Step-by-step explanation:

7 times 10 equals 70 5 times 5 equals 25. 70 plus 25 equals 95

I need help ring the center, radius, and diameter.

Answers

Answer:

(-2, 5), 6, 12

Step-by-step explanation:

Center: (-2, 5)

Radius: 6

Diameter: 12

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