Find five pairs of integers with a sum of -6

Using an arithmetic sequence, it is found that 89 dots would be found in the 30th step.

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

Researching the problem on the internet, it is found that the first step has 2 dots, the second has 5 dots, the third has 8 and so on, hence the first term is [tex]a_1 = 2[/tex] and the common difference is d = 3.

Then, the number of dots in the nth step is given by:

[tex]a_n = 2 + 3(n - 1)[/tex]

In the 30th step, the number will be given by:

[tex]a_{30} = 2 + 3(30 - 1) = 89[/tex]

More can be learned about arithmetic sequences at https://brainly.com/question/6561461

Answer:

- (a + b)^2

- (b + c)^2

- (a - b + c) (a + b + c)

The answer is given in the photos below (for verification),

I hope my answer helps you.

You could do

36+12

4*12

4*9+12

(4*9)+(3*4)

and many more!

Step-by-step explanation:

Only the top player with the highest grade can be considered as MVP on the winning team.You can still be considered MVP even if you have less than 10 grade as long as you have the highest grade and your team won the matchYou can only considered MVP-loss if you have the highest grade and you qualify for a gold medalMedals for the winning teamBest case scenario: 1 MVP, 4 GoldWorst case scenario: 1 MVP, 2 Silver, 2 BronzeMedals for the losing teamBest case scenario: 1 MVP Loss, 1 Gold, 2 Silver, 1 BronzeWorst case scenario: 5 Bronze

Answer:

1. diameter=5.54m

2. radius=9.55cm

3. area=11.46feet²

Step-by-step explanation:

1. The formula of the area of a circle is: A=[tex]\pi r^{2}[/tex]

   A: area of the circle=25m²  

    [tex]\pi[/tex] : Pi≈3.14

    r: radius of the circle= unknown

   Solve the equation to find r:

   25=(3.14)r²

    r²=[tex]\frac{25}{3.14}[/tex] =7.69m²

    r= √7.69= 2.77m

   diameter d= 2 x r =2 x 2.77 =5.54m

2. The formula of the perimeter of a circle is: P=2[tex]\pi r[/tex]

   P: perimeter of the circle= 30cm

    [tex]\pi[/tex] : Pi≈3.14

   r: radius of the circle= unknown

   Solve the equation to find r:

   30=(3.14)r

   r= [tex]\frac{30}{3.14}[/tex] = 9.55cm

   radius r = 9.55cm

3. First we have to find r (radius) from  the equation of perimeter:

    P=2[tex]\pi r[/tex]

     r= [tex]\frac{P}{2\pi }[/tex] = [tex]\frac{12}{2(3.14)}[/tex] = [tex]\frac{12}{6.28}[/tex] =1.91 feet

     Substitute r in the equation of area to get the area:

     A=  [tex]\pi r^{2}[/tex] = 3.14 (1.91)² = 3.14(3.65) = 11.46 feet²

Answer:

12.35

Step-by-step explanation:

Just multiply

[tex]19[/tex]

and

[tex]0.65[/tex]

Because

Orginal Price x Sale Cost= Sale of the Price.

[tex]19 \times 0.65 = 12.35[/tex]

Answer:

k = 6

Step-by-step explanation:

since (k, 7 ) lies on the line then it satisfies the equation.

substitute the coordinates of the point into the equation and solve for k

2k - 7 = 5 ( add 7 to both sides )

2k = 12 ( divide both sides by 2 )

k = 6

Answer:

k = 6

Step-by-step explanation:

The point (k, 7) lies on the line with the equation 2x - y = 5

Answer:

The only right angles are between the lines (O,F) and (Q,D)

Step-by-step explanation:

by examination. The tangental line goes through the same point the diameter line goes through so to be tangental it has to be 90 degrees on each side.

Answer:

so, it's 0.1x35=3.5

it will be lowered by 3.5 dollars

Answer:

$31.50

Step-by-step explanation:

Original price: $35

Discount percentage:

10%

Results

Discount: $3.50

Final Price: $31.50

Details

Discount = Original Price x Discount %/100

Discount = 35 × 10/100

Discount = 35 x 0.1

You save = $3.50

Final Price = Original Price - Discount

Final Price = 35 - 3.5

Final Price = $31.50

Answer:

new width=9.375 in

new scale= 1 foot= 0.4 inches

Step-by-step explanation:

Firstly to find the width we can set up a proportion:

[tex]\frac{x}{15}[/tex] =[tex]\frac{6}{9.6}[/tex], after solving for x, x= 9.375, which gives us our width.

To find the new scale, we knew that the old scale was 2 in=5 feet, or 1 in=2.5 feet, so to find the new one we can also set a new proportion,

[tex]\frac{1}{2.5} = \frac{15}{x}[/tex]

After solving you will get x= 37.5, so 15 inches= 37.5 feet, but to simplify we can divide,

15/37.5= 0.4

I tried my best loooool

Answer:

first, how much were her songs? It's two songs each, and their separate prize was 0.99:

total prize was 2*0.99=1.98

this gets added to the membership prize:

19.99+1.98=21.97

you can also calculate this by rounding all the numbers (20+1+1) and substracting the amount you rounded (three times one cent) - the result would be the same.

B     19.99+.99n

C   okay so it says Sophia's friend has saved $118 so she already knows she has $118 and then the next step is to figure out about Part B so she does not know how many songs you can afford to buy so the expression in Part B whatever the expression is if you figured out the answer to Part B and there's a number what you want to do what you would want to divide that number into 118 to see how how many equal groups you can make and you don't want to go overboard 18 so what you would want to do it if you would want to do if you figure out the number to expression be in the boring part B they don't want to take that and keep making a go go to that until you reach 118 and then you would get your total

D  N=99 songs

Answer:

Final answer -

[tex]Area \: of \: figure = 60 \: m {}^{2} [/tex]

hope helpful :D

Answer:

Step-by-step explanation:

Divide each term by - 1/4 first

Now facor out - 1/4

Step-by-step explanation:

Answer:

B is the answer

Step-by-step explanation:

A is a normal number
C is division along with D

So it is B

Answer: 126

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

4+7+4+7=22

Answer:

Option C

Step-by-step explanation:

you just subtract the functions from each other.

hence,

15x - 7x - 20

p(x) = 8x - 20

180.....,...........

Step-by-step explanation:

angle A + angle B + angle C = 90+45+45

                                                = 180

Answer:

2√6

using pythagoras theorem:

a² + b² = c²

Answer:

Step-by-step explanation:

The length of the third side can be determined using pythogoras theorem. Keep in mind that pythogoras theorem can only be used when finding the missing side length of a right triangle.

[tex]\text{Pythagoras theorem: (Longest side})^{2} = (\text{Leg of right triangle}_{1} ) ^{2} + (\text{Leg of right triangle}_{2} )^{2}[/tex]

In this triangle, we are given that:

Substitute the measures into the pythogoras theorem:

[tex](7})^{2} = (5 ) ^{2} + (\text{Leg of right triangle}_{2} )^{2}[/tex]

Simplify both sides of the equation:

[tex]\rightarrowtail (7 \times 7}) = (5 \times 5) + (\text{Leg of right triangle}_{2} )^{2}[/tex]

[tex]\rightarrowtail49 = 25 + (\text{Leg of right triangle}_{2} )^{2}[/tex]

Subtract 25 both sides:

[tex]\rightarrowtail49 - 25 = 25 - 25 +(\text{Leg of right triangle}_{2} )^{2}[/tex]

[tex]\rightarrowtail24 = (\text{Leg of right triangle}_{2} )^{2}[/tex]

Square root both sides and simplify:

[tex]\rightarrowtail\sqrt{24} = \sqrt{(\text{Leg of right triangle}_{2} )^{2}}[/tex]

[tex]\rightarrowtail\sqrt{3 \times 2\times 2 \times 2} = \sqrt{(\text{Leg of right triangle}_{2} )^{2}}[/tex]

[tex]\rightarrowtail2\sqrt{3 \tim \times 2} = \text{Leg of right triangle}_{2}[/tex]

[tex]\rightarrowtail\boxed{2\sqrt{6} \ \text{units} = \text{Leg of right triangle}_{2}}[/tex]

Answer:

3

Step-by-step explanation:

HTT, THT, TTH

Circumference:-

Radius:-

Answer:

radius = 0.8 m (nearest tenth)

Step-by-step explanation:

One revolution of the wheel means one complete turn.  Therefore, the distance of one revolution is the circumference of the wheel.

First, find the distance of one revolution (the circumference) by dividing the total distance by the given number of revolutions:

[tex]\sf circumference=\dfrac{65}{13}=5\:m[/tex]

Formula

[tex]\textsf{circumference of a circle}=\sf 2 \pi r \quad \textsf{(where r is the radius)}[/tex]

[tex]\implies \sf radius=\dfrac{circumference}{2 \pi}[/tex]

Substituting the found value of the circumference into the formula to find the radius:

[tex]\implies \sf radius=\dfrac{5}{2 \pi}=0.8\:m\:(nearest\:tenth)[/tex]

Answer:

7

Step-by-step explanation:

the mean is (the sum of numbers in a data set)/(# of points in that data set).

So,

[tex]\frac{4+8+9+x+2}{5} = 6[/tex],

[tex]\frac{23+x}{5} = 6[/tex],

23+x = 6*5

23+x = 30

x= 30-23

x = 7

Hence, the value of x is 7.

Hope this helps!!!

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Answer:

Answer:we are looking for the area of the Wall to be painted.

Answer:we are looking for the area of the Wall to be painted.Area=L × B

Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.

Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows area

Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LB

Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4

Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4AW=96-12

Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4AW=96-12AW=84

Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4AW=96-12AW=84therefore area to be painted=84feet square

Marshall has $700 in an account that earns 13% interest compounded annually. At the end of one year Marshall will have the sum of $791.

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest.

then the interest amount earned is given by:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

The principal amount (P)= $700

The interest rate(R) = 13%

The period of investment (T) = 1 year

Simple interest

= P×T×R/100

= 700×T×13/100

= 9100/100

= $91

Therefore, the total amount she will receive at the end of a year

= 700 + 91

= $791

Learn more about simple interest here:

brainly.com/question/25793394

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Answer:

B because the length of R to U is 6x5

The value of the variable 'x' in the circle will be 26.7 units. Then the correct option is D.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

In primary mathematics, a statement defines a relationship between the four line segments formed by two crossing chords within a circle.

The equation is form by the above theorem is written as,

9 · x = 24 · 10

Simplify the equation, then we have

9 · x = 24 · 10

9x = 240

x = 240 / 9

x = 26.6667

x ≈ 26.7 units

The value of the variable 'x' in the circle will be 26.7 units. Then the correct option is D.

More about the circle link is given below.

https://brainly.com/question/11833983

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Answer:C

Step-by-step explanation:

Answer:

option C

Step-by-step explanation:

Ive attach my work

Hppe it hels, Let me know if you have any questions !