Here s a patter made from sticks

Here S A Patter Made From Sticks

Answers

Answer 1

Answer:

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

                          Tn=a+(n−1)d

                 Where, Tn= nth term

                              a= First term of the sequence

                              n= Number of term

                              d= Common difference

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

                   And number of sticks in the nth pattern are Tn=5n+2

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,

       Tn=a+(n−1)d

       Tn=7+(n−1)5

       Tn=5n+2

If n=6,

       Tn=7+(6−1)5

       Tn=7+25

Tn=32

Hope it helps !

Have a great day!


Related Questions

Find the slope of the line that passes through(5,7) and (7,6)

Answers

Answer:

Equation: y = -0.5x + 9.5.

Answer:

-0.5 or -1/2

Step-by-step explanation:

The formula to find the slope of a line given two points if [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]\frac{(6)-(7)}{(7)-(5)}[/tex] [tex]\frac{-1}{2}[/tex] [tex]-0.5[/tex]

Therefore, the slope is -0.5 or -1/2.

find the measure of minor arc AB when the angle is 85 degrees​

Answers

Answer:

170 degrees

Step-by-step explanation:

The minor arc will always be twice as much as the inscribed angle.

There are 73 red, blue and green marbles in a jar. There are twice as many red marbles as blue marbles. There are 19 more blue marbles than green marbles. How many green marbles are there?​

Answers

Given R=2B

R+B+G=73

B=G+19

2B+B+G=73

3B+G=73

3(G+19)+G=73

4G=73–57=16

G=4

B=4+19=23

R=2*23=46 (SO THE ANSER IS 4)

The expression 3b +2.2 is equal to for b = 1.8.
(Type a whole number or a decimal.)
Enter your answer in the answer box and then click Check Answer.
2
parts
remaining
Clear All



What is the answer?

Answers

3b + 2.2 when b = 1.8 would turn into a new equation. Replace b with the new factor.

3(1.8) + 22
3(1.8) = 5.4
5.4 + 2.2 = 7.6

Use the pythagorean theorem a + b = c to find the length of a triangle when a = 9 ft and b = 40 ft

Answers

Answer:

41

Step-by-step explanation:

a^2 + b ^2 =c^2

9^2 + 40^2 = c^2

81+ 1600 = c^2

1681= c^2

[tex]\sqrt{1681[/tex] = [tex]\sqrt{c^{2}[/tex]

41 = c

Select all x values that are solutions to the equation

Answers

Answer:

The answers are 3 and 5

The only thing u had to do is

x-5=0

x=5

7x-21=0

7x=21

x=3

Question 2 of 10
Which are the better statistics to use to compare the distributions? Assume
you know the mean, median, standard deviation, and IQR for each.
35 36 37 38 39 40 41 42 43 44 45
35 36 37 38 39 40 41 42 43 44 45

Answers

The better statistics which can be used to compare the given distributions are mean and standard deviation.

What is a z-core?

A z-core is also referred to as a standard score and it can be defined as a statistical measure of the distance between a data point (raw score) and the mean, especially when standard deviation units are used.

In Mathematics, z-scores can either be negative or positive and it is generally calculated by using this formula:

[tex]Z=\frac{x\;-\;u}{\delta}[/tex]

Where:

x is the observed data or sample mean.u is the mean.[tex]\delta[/tex] is the standard deviation.

In conclusion, the better statistics which can be used to compare the given distributions are mean and standard deviation.

Read more on standard deviation here: https://brainly.com/question/4302527

A study found that 9% of dog owners brush the dogs teeth. Of 578 dog owners, about how many would be expected to brush their dog’s teeth? explain.

Answers

Answer:

52

Step-by-step explanation:

Step 1: Our output value is 578.

Step 2: We represent the unknown value with [tex]x[/tex].

Step 3: From step 1 above, [tex]578=100%[/tex]%

Step 4: Similarly, x=9%

Step 5: This results in a pair of simple equations:

578 = 100% (1)

x = 9% (2)

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

578/x = 100% /9%

Step 7: Again, the reciprocal of both sides gives

x/578 = 9 /100

⇒ x = 52.02

Therefore, 9%  578 is  52.02

Round:

Answer: About 52 dog owners are expected to brush their dogs teeth.

NO LINKS!! A blimp, suspended in the air of 500 feet, lies directly over a line from Soldier Field to the Adler Planetarium on Lake Michigan (see the figure). If the angle of depression from the blimp to the stadium is 32° and from the blimp to the Planetarium is 23°, find the distance between Soldier Field and the Adler Planetarium.

Answers

Answer:

1978 ft (nearest foot)

Step-by-step explanation:

Using the Alternate Interior Angles theorem, we can deduce that the left base angle of the triangle is 32° and the right base angle of the triangle is 23°.

The triangle can be divided into 2 right triangles, both with height of 500ft (see attached diagram).

Using the tan trig ratio, we can calculate the base of each triangle.

[tex]\mathsf{\tan(\theta)=\dfrac{O}{A}}[/tex]

where:

[tex]\theta[/tex] = angleO = side opposite the angleA = side adjacent the angle

Left triangle

let [tex]x[/tex] = the base length

[tex]\implies \tan(32)=\dfrac{500}{x}[/tex]

[tex]\implies x=\dfrac{500}{\tan(32)}[/tex]

Right triangle

let [tex]y[/tex] = the base length

[tex]\implies \tan(23)=\dfrac{500}{y}[/tex]

[tex]\implies y=\dfrac{500}{\tan(23)}[/tex]

To find the distance between the Soldier Field and Adler Planetarium, simply sum [tex]x[/tex] and [tex]y[/tex]:

[tex]\implies \dfrac{500}{\tan(32)}+\dfrac{500}{\tan(23)}=1978.093447...[/tex]

Therefore, the distance is 1978 ft (nearest foot)

. Express this number in standard form:
?
4.39 х 10^-7

Answers

Answer:

4.39e-7

Step-by-step explanation:

If it take 10 mins to walk 3/7mile.how many time will it to take the rest of the mile?

Answers

Answer:

[tex]10 \div \frac{3}{7} \times \frac{4}{7} [/tex]

[tex]10 \times \frac{7}{3} \times \frac{4}{7} [/tex]

40/3

13.33 min

Select the correct answer.

Chase is constructing equilateral triangle EFG inscribed in a circle.

He begins by using a compass to draw circle X. He then uses a straightedge to draw a diameter of the circle and labels the endpoints D and E.

How can Chase find points F and G?

A.
Points F and G are endpoints of a chord that is perpendicular to and bisects DE.
B.
Points F and G are the points where circle X intersects a congruent circle centered at D.
C.
Points F and G are the points where circle X intersects a congruent circle centered at E.
D.
Points F and G are points of intersection of two congruent circles centered at D and E

Answers

Answer: A

Step-by-step explanation:

To construct equilateral triangle in a circle F and G as D. Points F and G are points of intersection of two congruent circles centered at D and E. The correct answer is option A.

What is a circumscribed circle?

The circumscribed circle or circumcircle of a polygon in geometry is a circle that passes through each of the polygon's vertices. This circle's circumcenter and circumradius are its center and radius, respectively.

It should be noted that an equilateral triangle simply means a triangle that has all the sides and angles to be equal.

After drawing the diameter of the circle through the center, it's important to open the compass to a width that's equivalent to the radius of the circle.

In this case, it can be deduced that Points F and G are points of intersection of two congruent circles centered at D and E.

Learn more about triangles on:

brainly.com/question/17335144

#SPJ5

A number divided by 7 is –35.

Answers

Answer:

-245

Step-by-step explanation:

multiply 7 and -35 to get your answer.

I hope this helped <3

Answer:

The number is (-245)

Step-by-step explanation:

Let the number be 'x'

x ÷ 7 = -35

[tex]\dfrac{x}{7}=-35\\\\\\Multiply \ the \ entire \ equation \ by \ 7\\\\x =-35*7\\\\x = - 245[/tex]

You lose an online auction for an autograph. Your losing bid of $28 is 40% of the winning bid. How much less was your bid than the winning bid?

Answers

Answer:

My bid was $42 less than the winning bid.

Step-by-step explanation:

The winning bid is x.

$28 is 40% of x

0.4x = 28

x = 28/0.4

x = 70

The winning bid was $70.

$70 - $28 = $42

Answer: My bid was $42 less than the winning bid.

HelP KE PLEASE HELP HELP

Answers

Answer:

C (14 aq units)

Step-by-step explanation:

Area of a triangle = 1/2 x base x height

Base = MY = 4 UNITS

Height = AM = 7 UNITS

Area = 4 x 7 x 1/2 = 14

Answer:

Area=1/2×base×height

But base=4 units and height=7 units

So the area is

1/2×4×7

which is 14 sq units

Use the remainder theorem and synthetic division
to find the value of f(3) if f(x) = x^3 - 6x^2 + 13x - 11

VIEW IMAGE

Show the steps of the synthetic division!

Answers

Answer:

  f(3) = 1

Step-by-step explanation:

The value of f(3) is told by the remainder theorem to be the remainder from division of f(x) by (x -3). That division is shown in the attachment. The remainder is 1, so ...

  f(3) = 1

__

The number at upper left in the synthetic division table is the value of x for which we are evaluating f(x).

_____

Additional comment

When the polynomial is written in Horner Form:

  f(x) = ((x -6)x +13)x -11

the coefficient of x at each point in the evaluation is the same as the number on the bottom row of the synthetic division. The result of the evaluation is the same as the remainder from the division.

32,8,83,88,58,58,66,11,34,23 calculate the range

Answers

Answer:

80

Step-by-step explanation:

After spending some time arranging the numbers in order, we get the sequential order as 8, 11, 23, 32, 34, 58, 58, 66, 83, 88.

Next, we need to find the range. The Range of a data set is the difference between the largest and smallest number.

Thus, 88 - 8 = 80 as the range.

please answer the question ​

Answers

Answers:

A) 2,600 cubes (13 x 40 x 5 = 2,600)

B) 6,600 cubes (11 x 20 x 30 = 6,600)

C) Boxes A and C or boxes B and C

D) 11,200 cubes (13 x 40 x 5) + (11 x 20 x 30) + (8 x 10 x 25) = 11,200

Find the height of a rectangle if the base is 24 in and the perimeter is 102 in.

Answers

Answer:

The answer is A: 27 inches (not squared because it's not area)

Step-by-step explanation:

In a rectangle the angles are [tex]2y[/tex] and [tex]2x[/tex]

let's say [tex]24=x[/tex]

so then:

[tex]2x=48[/tex]

now to solve for [tex]y[/tex]

[tex]102-48=2y[/tex]

[tex]y=27[/tex]

The answer is A: 27 inches (not squared because it's not area)

Please Help!!!!
Kellie wants to cover part of the lawn with pavers to make a nice place to put a table and some chairs. This space will be a rectangle with an area of 108 square feet, and the rectangle will be 3 feet longer than wide. What will the dimensions of this rectangle be? In other words, what will the length and width be?

For the record, the formula for the area of a rectangle is A = LW.

8a) Clearly write out the equation you would use to answer the question.

8b) Answer the question. What will the dimensions be? Please write your answer as a complete sentence with appropriate units.

Answers

8a)

x = width

x+3 = length, since its 3 ft longer than the width

A = length*width

A = LW

A = (x+3)*x

A = x^2+3x

Set this equal to 108 since this is the area of the rectangle.

Answer: x^2 + 3x = 108

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

8b)

x^2+3x = 108

x^2+3x-108 = 0

Use the quadratic formula with a = 1, b = 3, c = -108

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(3)\pm\sqrt{(3)^2-4(1)(-108)}}{2(1)}\\\\x = \frac{-3\pm\sqrt{441}}{2}\\\\x = \frac{-3\pm21}{2}\\\\x = \frac{-3+21}{2} \ \text{ or } \ x = \frac{-3-21}{2}\\\\x = \frac{18}{2} \ \text{ or } \ x = \frac{-24}{2}\\\\x = 9 \ \text{ or } \ x = -12\\\\[/tex]

Ignore the negative solution because we cannot have a negative width.

x = 9 is the width

x+3 = 9+3 = 12 is the length being 3 longer.

The rectangle is 12 ft by 9 ft to get an area of 12*9 = 108 sq ft, which confirms the answer.

Answer:  12 feet by 9 feet

Simplify 3√8w - 3√216w + 3√216w

Answers

Answer:

6√2w

Step-by-step explanation:

3√8w - 3√216w + 3√216w

6√2w -18√6w +18√6w

6√2w +0

6√2w

Raj has a stack of four boxes each box weighs 3/5 lb how much do the boxes weigh all together

Answers

Answer:

All the boxes together weigh 2 2/5 lb

Step-by-step explanation:

3/5 + 3/5 + 3/5 + 3/5

= 6/5 + 6/5

= 12/5

= 2 2/5

Have a good day!

Answer:

3 pounds.

Step-by-step explanation:

I also want to say you know what's funny Raj is my initials my name is Rileigh andrew johnson. But anyway 3 pounds.

Because times 3 by 5=15 so our fraction is now 15/5

And now wil times 5 tintil we get to 15 for our whole number so 5 x 3 =15 so 3 is our whole number/ our answer 3 pounds.

I hope this helps have a awesome day  

2c+3a
c=6
a=3
Evaluate the expression

Answers

Answer:

21

Step-by-step explanation:

2c + 3a

= 2(6) + 3(3)

= 12 + 9

= 21

Find the perimeter of a triangle 20cm and 29cm

Answers

Answer:

Unclear.

To find the perimeter you need all three sides of the triangle. You have only given two.

All you need to do is add up all three sides and you have your perimeter.

Formula: P=a+b+c

Answer:

Unknown unless you give the amount of cm for the last side

\boxed{ \rm{ \pink{ \displaystyle \: QUESTION....}}}
By what number must we multiply [tex]\boxed{162}[/tex] to make it a perfect square.​

Answers

Answer:

[tex] \pink{ \rm{SOLUTION:-}}[/tex]

[tex] \pink{ \rm{Here,}}[/tex]

[tex]\boxed{162}[/tex] can be a perfect square if the factor [tex]\boxed{2}[/tex] is a paired.

Hence,[tex]\boxed{162×2}[/tex],will be a perfect square.

[tex]: \implies{324 = {3}^{2} \times {3}^{2} \times {2}^{2} }[/tex]

Hence,the square root is [tex]3×3×2,i.e. 18[/tex]

[tex]{\rm{162 \: must \: be \: multiplied \: by \: 2 \: to \: make \: it \: a \: perfect \: square.}}[/tex]

Answer:

2

Step-by-step explanation:

[tex]\\ \rm\Rrightarrow \sqrt{162}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{2\times 3\times 3\times 3\times 3}[/tex]

4 3's are there which will cancel out of root over

Now there is one 2 left .

We need another 2

So we get

[tex]\\ \rm\Rrightarrow 2(3)(3)[/tex]

That perfect square is 18^2=324

A land mass is roughly in the shape of a rectangle whose perimeter is 1280 miles. the width is 120 miles less than the length find the length and the width.

HELP!!!!

Answers

l=520mi width 120 perimeter 1280

Given x= -2, mark and place these six expressions
on the same number line below.
X, -X, |-1.5], -4, 15, 16||

Answers

Answer:

-4, x, |-1.5| , -x, |5|, |6|

Step-by-step explanation:

X = -2

-X = 2

|-1.5| = 1.5

|5| = 5

|6| = 6

help me please i need it rn

[tex] \rm \: this \: month, \: Mikasa \: earned \: only \rm \frac{-3}{4} \:of \: his \: earning \: last \: month\: if \: his \: earning \: last \: month \: is \: 12,600 \: how \: much \: did \: he \: earn \: this \: month[/tex]

Answers

Step-by-step explanation:

Multiply 12600 by -3/4 to determine the amount earned.

*12600 can be put over 1.

Multiply:

[tex] \frac{12600}{1} \times \frac{ - 3}{4} = \frac{37800}{4} [/tex]

Simplify by dividing the fraction by 4:

[tex] \frac{ - 37800 \div 4}{4 \div 4} = \frac{ - 9450}{1} [/tex]

Mikasa has lost $9450.

it said draw a line representing the rise and a line representing the run of the line. state the slope of the line in simplest form

Answers

Answer:

The slope of the line is 2/3

Step-by-step explanation:

y=3x-11
y-3x=-13

Solving using systems of equations

Answers

Answer: There are no possible solutions because

If you were to plot these two equations on the graph you would notice they are parallel because both have the same slope (3x) but still have different intercepts. This means there are no possible solutions as in order to have a solution for x and y they need to intercept and the point of interception is the solution for x and y but that cannot happen in a system of equations that result in parallel lines ( they’ll never intercept)

Answer:

Ø

Step-by-step explanation:

These equations are parallel, meaning they have SIMILAR rate of changes [slopes]. To prove it, convert the second equation from Standard Form to Slope-Intercept Form:

[tex]\displaystyle y - 3x = -13 \hookrightarrow y = 3x - 13 \\ \\ \left \{ {{y = 3x - 13} \atop {y = 3x - 11}} \right.[/tex]

As you can see, both equations have a rate of change of 3, meaning we CANNOT obtain a solution here, therefore we have no solution.

I am joyous to assist you at any time.

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