Here is a pattern made from sticks:
a) How many sticks would be in pattern number 6?
Answer: 32
b) How many sticks would be in pattern n?
Answer: ____

Here Is A Pattern Made From Sticks:a) How Many Sticks Would Be In Pattern Number 6?Answer: 32b) How Many

Answers

Answer 1
The answer is 5n+2.

Example:
6x5= 30
30+2=32
Answer 2

 Recursive formula of an arithmetic sequence is given by the expression,

                          [tex]T_n=a+(n-1)d[/tex]

                 Where, [tex]T_n=[/tex] nth term

                              [tex]a=[/tex] First term of the sequence

                              [tex]n=[/tex] Number of term

                              [tex]d=[/tex] Common difference

Therefore, number of sticks in the 6th pattern are 32.

                   And number of sticks in the nth pattern are [tex]T_n=5n+2[/tex]

From the picture attached,

Number of sticks in 1st pattern = 7

Number of sticks in 2nd pattern = 12

Number of sticks in 3rd pattern = 17

Sequence formed is 7, 12, 17..... nth term

This sequence has a common difference of 5 in each successive term so it will be an arithmetic sequence.

Therefore, nth term of the sequence will be,

       [tex]T_n=a+(n-1)d[/tex]

       [tex]T_n=7+(n-1)5[/tex]

       [tex]T_n=5n+2[/tex]

If [tex]n=6,[/tex]

       [tex]T_n=7+(6-1)5[/tex]

       [tex]T_n=7+25[/tex]

       [tex]T_n=32[/tex]

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Related Questions

Which equation can be used to find 40 percent of 25? StartFraction 25 divided by 1 Over 40 divided by 1 EndFraction = StartFraction 25 Over 40 EndFraction StartFraction 100 times 4 Over 40 times 4 EndFraction = StartFraction 400 Over 16 EndFraction StartFraction 40 times 4 Over 25 times 4 EndFraction = StartFraction 160 Over 100 EndFraction StartFraction 40 divided by 4 Over 100 divided by 4 EndFraction = StartFraction 10 Over 25 EndFraction

Answers

Answer:

d

Step-by-step explanation:

Answer:

I think it's D

Step-by-step explanation:

Sorry if im wrong.

Write the equation of the line that passes through the point (8, -2) and whose slope is 1/4

Answers

Step-by-step explanation:

y + 2 = 1/4(x - 8)

y +2 =1/4x - 2

y = 1/4x - 4

Which is equivalent to 4V91/2

Answers

Answer:

B.

Step-by-step explanation:

= [tex]\sqrt[4]{9} ^{x/2}[/tex]

= Since [tex]\sqrt[4]{} = 1/4[/tex]

= So,  [tex]9^{1/4*x/2}[/tex]

= [tex]9^{\frac{x}{8}[/tex]

Answer:

option B

Step-by-step explanation:

[tex](\sqrt[4]{9})^{\frac{1}{2}x} =(9^{\frac{1}{4}})^{\frac{1}{2}x}\\\\=9^{\frac{1}{4}*\frac{1}{2}x}\\\\=9^{\frac{1}{8}x}[/tex]

2x-4=-4x+6
What value of x makes the equation true
A x=5/3
B x=-5/3
C x=5
D x=-5

Answers

Answer: 5/3

6x = 10

x=10/6

x=5/3

Answer:

x = 5/3

Step-by-step explanation:

2x-4=-4x+6

Add 4x to each side

2x+4x-4=-4x+4x+6

6x -4 = 6

Add 4 to each side

6x -4 +4 = 6+4

6x = 10

Divide each side by 6

6x/6 = 10/6

x = 5/3

Merryvale Orchards sold 85 bags of oranges yesterday. Each bag contained 32 oranges. Round each number to the nearest ten to estimate the number of oranges sold

Answers

Answer:

2720 oranges were sold

What is the length of ED

Answers

Answer:

ED ≈ 2.6 units

Step-by-step explanation:

Using the Sine rule in Δ DEF

[tex]\frac{FD}{sin115}[/tex] = [tex]\frac{ED}{sin20}[/tex]

[tex]\frac{6.95}{sin115}[/tex] = [tex]\frac{ED}{sin20}[/tex] ( cross- multiply )

ED sin115° = 6.95 sin20° ( divide both sides by sin115° )

ED = [tex]\frac{6.95sin20}{sin115}[/tex] ≈ 2.6 ( to the nearest tenth )

A jar contains 4 red marbles, 6 blue marbles, 3 yellow marbles, and 5 green marbles. If one marble is randomly selected, what is the probability that it is red or green?

Answers

Answer:

1/2

Step-by-step explanation:

4 red marbles, 6 blue marbles, 3 yellow marbles, and 5 green = 18 marbles

P( red or green) = red or green / total

                          = (4+5) / 18

                          = 9/18

                          =1/2

Answer:

50%

Step-by-step explanation:

4 red + 5 green = 9 marbles

total marbles = 18 marbles

9 is 50% of 18

How many moles of sulfate will be formed if you start with 2.80 moles of sodium hydroxide and you have an excess of sulfuric acid

Answers

Answer:

1.4 mol

Step-by-step explanation:

                                2NaOH    +     H2SO4 ----->  Na2SO4 + 2H2O

from reaction          2 mol                                      1 mol

given                       2.8 mol                                    x

x = (2.8*1)/2 = 1.4 mol

The LCM of three numbers is 7920 and their GCD is 12. Two of the numbers are 48 and 264. Using factor notation find the third number if one of its factors is 9.

Answers

Answer:

The third number is 180.

Step-by-step explanation:

Let the third number be 9x where x is an integer.

48 = 2*2*2*2*3

264 = 2*2*2*3*11

9x = 3*3*x

2*2*2*2*3*3*11*x = 7920y where y is an integer

1584x = 7920y

so x = 7920y / 1584= 5y.

Now the GCD is 12  so x must have  4 as one of its factors.

Also x is a multiple of 5 so it could be 20 then y  would be 4.

If x = 20 then the third number is 9*20 = 180.

This checks out OK.

What’s the answer I need help plssssssssss

Answers

Answer:

[tex]\frac{\sqrt[3]{19} }{\sqrt[3]{x} }[/tex]

So A is the answer

Step-by-step explanation:

[tex]y=\frac{19}{x^3}\\\mathrm{Interchange\:the\:variables}\:x\:\mathrm{and}\:y\\x=\frac{19}{y^3}\\\mathrm{Solve}\:x=\frac{19}{y^3}\:\mathrm{for}\:y\\y=\sqrt[3]{\frac{19}{x}}\\\sqrt[3]{\frac{19}{x}}\\\frac{\sqrt[3]{19} }{\sqrt[3]{x} }[/tex]

a food manufacturer recently developed a new preservative to extend the shelf life of its perishable food items. It makes two batches of the perishable items. The preservative is added only to the second batch. After some time, researcher compares the shelf life of the batches. which method is the researcher applying?

Answers

Answer:

The researcher is using the Experiment method

Step-by-step explanation:

Plato

Answer:

Experiment

Step-by-step explanation:

PLATO/Edmentum

I GOT IT RIGHT!!!

For which table would 70 be the missing value,x?

Answers

It is C

The Stone and Pounds

Answer:

c

Step-by-step explanation:

What are the domain and range of f(x) = |x + 6|?

Answers

Answer:

The domain is (-∞,∞)

The range is [0,∞)

Step-by-step explanation:

The graph will be a V shape facing upwards with a vertex of (-6,0)

Answer:

Domain = (-∞,∞)

Range = [0,∞)

Step-by-step explanation:

Anyone know this ? Need help :(

Answers

Answer:

19

Step-by-step explanation:

We can multiply the exponents, giving us 19 ^ (1/9 * 9) = 19 ^ 1 = 19.

Answer:

19

Step-by-step explanation:

(19^1/9)^9

19^(1/9*9)

19^1

19

Can someone help me with this please

Answers

X,y is 5(5y,-2y) and 5(y-2)

3 lines are shown. A line with points M, H, K intersects a line with points J, H, L at point H. A line extends from point H to point P between angle K H J. Angle M H L is 140 degrees and angle K H P is 20 degrees. What is mAnglePHJ? 100° 120° 140° 160°

Answers

Answer:

The answer is 120 degrees

Step-by-step explanation:

your welcome!!!!!!!!!!!!

Answer:

120

Step-by-step explanation:

edge 2022

If you add the digits in a two-digit number and multiply the sum by 7, you get the original number. If you reverse the digits in the two-digit
number, the new number is 18 more than the sum of its two digits. What is the original number?
O A 42
B. 24
C. 64
D.46
E.36

Answers

Answer: A - 42

Step-by-step explanation:

Let x= ones digit, y=tens digit

1st (original number) :

7(x+y)=10y + x

2nd (new number by reversing the digits): 18+x+y=10x+y

simplifying:

1st condition: 6x=3y

2nd condition: x=2

substituting x=2 to 6x=3y

y=4

Answer:

The answer is 42 but let me tell you this question made my brain cell work an all nighter from how bad I am at riddles LOL

Step-by-step explanation:

What is the product? Assume x greater-than-or-equal-to 0 (StartRoot 3 x EndRoot + StartRoot 5 EndRoot) (StartRoot 15 x EndRoot + 2 StartRoot 30 EndRoot)

Answers

Answer:

[tex]3\sqrt5 x+ \sqrt x (6 \sqrt{10} +5\sqrt{3}) +10 \sqrt6[/tex]

Step-by-step explanation:

To find the product :

[tex](\sqrt{3x} +\sqrt5)(\sqrt{15x} +2\sqrt{30})[/tex]

[tex]\sqrt{3x}(\sqrt{15x} +2\sqrt{30}) +\sqrt5(\sqrt{15x} +2\sqrt{30})\\\Rightarrow \sqrt{3x}\times \sqrt{15x} +\sqrt{3x}\times 2\sqrt{30} +\sqrt5 \times \sqrt{15x} +\sqrt5\times 2\sqrt{30}\\\Rightarrow \sqrt{45} \times x + 2 \sqrt{90x} + \sqrt{75x} + 2 \sqrt{150}\\\Rightarrow \sqrt{5 \times 9} \times x + 2 \sqrt{9\times 10x} + \sqrt{25 \times 3x} + 2 \sqrt{25 \times 6}\\\Rightarrow 3\sqrt5 x+ 2 \times 3 \sqrt{10x} +5\sqrt{3x} +2 \times 5 \sqrt6\\\Rightarrow 3\sqrt5 x+ 6 \sqrt{10x} +5\sqrt{3x} +10 \sqrt6[/tex]

[tex]\Rightarrow 3\sqrt5 x+ \sqrt x (6 \sqrt{10} +5\sqrt{3}) +10 \sqrt6[/tex]

Some identities used:

1. [tex](a+b)(c+d) = a (c+d) + b(c+d)[/tex]

2. [tex]\sqrt9 =3[/tex]

3. [tex]\sqrt{25} =5[/tex]

4. [tex]\sqrt x \times \sqrt x=x[/tex]

5. [tex]\sqrt a \times \sqrt b = \sqrt{ab}[/tex]

So, the solution is [tex]3\sqrt5 x+ \sqrt x (6 \sqrt{10} +5\sqrt{3}) +10 \sqrt6[/tex]

Answer:it’s b

Step-by-step explanation:

On edge

Which division problem would have an estimated quotient of 3.5 if the divisor and dividend were rounded to the nearest whole number?

Answers

Answer:

Step-by-step explanation:

Weren't there possible answer choices from which to choose?  If so, please share them.

7                             3 + 4

-- is equivalent to ---------- and has an estimated (and exact) quotient of 3.5.

2                                2

If the divisor (2) and the dividend (7) were rounded to the nearest whole number (which would be 7), the estimated quotient would still be 3.5.

Answer:

7                             3 + 4

-- is equivalent to ---------- and has an estimated (and exact) quotient of 3.5.

2                                2

Step-by-step explanation:

How many solutions does this linear system have?
Y= -1/2x + 4 x + 2y=-8

Answers

Answer:

No solutions

Step-by-step explanation:

[tex]y=-\dfrac{1}{2}x+4 \\\\x+2y=-8[/tex]

Substitute:

[tex]x+2(-\dfrac{1}{2}x+4)=-8\\\\x-x+8=-8\\\\8=-8[/tex]

This system has no solutions.

Hope this helps!

What is the probability brittnie gets at least 35 hits in her next 100 at bats? (round to 3 decimal places.)?

Answers

Answer:

0.350

Step-by-step explanation:

Probability is defined as the chances that an event will occur or not occur. The entire idea of probability has to do with 'chance' events. Thus, the probability that an event will surely occur is 1, while the probability that an event will never occur is zero. Probabilities range between 0-1.

Probability of an event is obtained from

Probability= expected outcome/total number of outcomes

In this case,

Expected outcome= 35

Total number of outcomes = 100

Probability= 35/100= 0.350

A brick weighs w
kg. Write an expression for the weight of 2 bricks

Answers

Answer:

2w

Step-by-step explanation:

weight of 1 brick = w

so to find the weight of 2, times it by 2, which leaves you with 2w

Find the surface area of the composite solid.
PLZ HELP

Answers

Answer:

613.5 m^2

Step-by-step explanation:

The area of the base is

A = 1/2 bh

   = 1/2 (10) (8.7) =43.5 m^2

We have three sides with all the same area

The area of one side is 10 * 16 = 160

3 * 160 = 480 m^2

Now to the top

We have 3 sides with the same area

The area of one side

A = 1/2 bh

A = 1/2 (10) (6)

   = 30 m^2

3* 30 = 90

Add all the areas together to get the total surface area

43.5 m^2+ 480 m^2 + 90 m^2

613.5 m^2

Answer:

[tex]\Huge \boxed{\mathrm{613.5 \ m^2 }}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

We can find the total surface area by adding the surface area of the triangular prism with the surface area of the triangular pyramid at the top.

Surface area of the triangular prism:

10 × 8.7 × 1/2 + 16 × 10 × 3

⇒ 523.5

Surface area of the triangular pyramid:

6 × 10 × 1/2 × 3

⇒ 90

Adding the surface areas:

523.5 + 90

⇒ 613.5

[tex]\rule[225]{225}{2}[/tex]

Which fraction is equivalent to StartFraction 2 Over 6 EndFraction? StartFraction 3 Over 7 EndFraction, because StartFraction 2 Over 6 EndFraction = StartFraction 2 + 1 Over 6 + 1 EndFraction = StartFraction 3 Over 7 EndFraction StartFraction 3 Over 9 EndFraction, because StartFraction 2 Over 6 EndFraction = one-third and One-third = StartFraction 3 Over 9 EndFraction StartFraction 3 Over 12 EndFraction, because StartFraction 2 Over 6 EndFraction = one-third and One-third = StartFraction 3 Over 12 EndFraction StartFraction 3 Over 8 EndFraction, because StartFraction 2 Over 6 EndFraction = one-half = StartFraction 2 + 1 Over 6 + 2 EndFraction = StartFraction 3 Over 8 EndFraction

Answers

Question:

Which fraction is equivalent to [tex]\frac{2}{6}[/tex]?

- [tex]\frac{3}{7}[/tex] because [tex]\frac{2}{6}= \frac{2 + 1}{6 + 1}[/tex]

- [tex]\frac{3}{9}[/tex] because [tex]\frac{2}{6}= \frac{1}{3}[/tex] and [tex]\frac{1}{3} = \frac{3}{9}[/tex]

- [tex]\frac{3}{12}[/tex] because [tex]\frac{2}{6}= \frac{1}{3}[/tex] and [tex]\frac{1}{3} = \frac{3}{9}[/tex]

- [tex]\frac{3}{8}[/tex] because [tex]\frac{2}{6}= \frac{1}{2} = \frac{2+1}{6+2} = \frac{3}{8}[/tex]

Answer:

- [tex]\frac{3}{9}[/tex] because [tex]\frac{2}{6}= \frac{1}{3}[/tex] and [tex]\frac{1}{3} = \frac{3}{9}[/tex]

Step-by-step explanation:

Two fractions are said to be equal if and only if they give the same value when simplified.

The equivalent of [tex]\frac{2}{6}[/tex] is as explained in the selected option;

First, divide numerator and denominator by 2

[tex]\frac{2/2}{6/2}[/tex]

Then simplify

2/2 = 1 and 6/2 = 3; So;

[tex]\frac{2/2}{6/2} = \frac{1}{3}[/tex]

Multiply numerator and denominator by 3

[tex]\frac{1*3}{3*3} = \frac{3}{9}[/tex]

Hence, [tex]\frac{2}{6}[/tex] is equivalent to [tex]\frac{3}{9}[/tex]

Answer:

B

Step-by-step explanation:

StartFraction 3 Over 9 EndFraction, because StartFraction 2 Over 6 EndFraction = one-third and One-third = StartFraction 3 Over 9 EndFraction

Choose the most appropriate name for the function described below.
The temperature of the coffee depends on the number of minutes it sits on
the desk.

Answers

Answer:

D. Temperature(minutes), or t(m)

Step-by-step explanation:

Option D is the correct answer.

( D.temperature(minutes), or t(m) )

Step-by-step explanation:

We are given that:

The temperature of the coffee depends on the number of minutes it sits on the desk.

i.e. the temperature(t) of coffee is a function of time in minutes (t).

i.e. times is a independent variable and temperature is a dependent variable.

Hence, the most appropriate name for the function described below is:

temperature(minutes), or t(m).

Hence, option D is correct.

Answer:

Temperature is the answer

Step-by-step explanation:

I got it right

To solve the equation, Antwan uses the distributive property, combines like terms, then uses the addition and subtraction properties of equality to isolate the variable term on one side of the equation and the constant term on the other side. What are the possible values of the constant after Antwan has completed these steps?


3 (1/3x + 1) + 4 = -1 - 4 (x + 3)


A.) –3 or 3

B.) –3 or 5

C.) –20 or 5

D.) –20 or 20

Answers

The answer is c-20 or 5

Answer:

the answer is D

Step-by-step explanation:

i only need help with B

Answers

Answer:

it will take 3 sticks to make pattern n

_

| |

Can someone please help me I’m stuck I don’t know what

Answers

Answer:

x = 7.5

Step-by-step explanation:

Given BE is parallel to CD and intersects the other 2 sides, it divides those sides proportionally, that is

[tex]\frac{AE}{ED}[/tex] = [tex]\frac{AB}{BC}[/tex] , substitute values

[tex]\frac{10}{8}[/tex] = [tex]\frac{x}{6}[/tex] ( cross- multiply )

8x = 60 ( divide both sides by 8 )

x = 7.5

A plumber charges $70 per hour plus $40 for the call. What does he charge for 4 hours of work? Use x to represent the hours of work.

Answers

Answer:

Step-by-step explanation:

70x4 is 280 plus 40 is 320.

Answer:

$320

Step-by-step explanation:

(4 x $70) + $40 is the equation

$280 + $40 = $320

$320

Question 3: Marla bought one necklace and two bracelets for $67.50. Use the following information to determine the amount she paid for each bracelet: The price of the necklace was $27. The bracelets were both the same price. Enter your numerical answer only in the box; do not include the dollar sign.

Answers

Answer:

Each bracelet costs 20.25

Step-by-step explanation:

Here's what was given in the equation:

Total Price: $67.50

Price of necklace: $27

We can subtract the $27 from the $67.50 to get $40.5

Since we know that both bracelets are the same price we can divide the $40.5 by 2 to get two of the exact same prices. The result is $20.25 for each bracelet.

Hope this helps

Answer:

20.25

Step-by-step explanation:

Took test got it right.

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