If the sequence 1, 6, 7, 13, 20, ... were to follow the same pattern as the Fibonacci sequence, what are the next three terms?

Answer:

(x + 2)^2 + (y - 1)^2 = 25.

Step-by-step explanation:

The centre is at (-2, 1) so the equation is:

(x + 2)^2 + (y - 1)^2  = r^2   where r is the radius.

The radius is the distance from the centre to the point (-5, -3).

Using the distance formula:

r = √ [(-3- 1)^2 + (-5 - -2)^2]

and r^2 = (-3- 1)^2 + (-5 - -2)^2

= (-4)^2 + (-3)^2

= 16 + 9

= 25.

Answer:

0.02381

Step-by-step explanation:

As we know that

We have 10 digits i.e 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 out of these 5 are odd digits 1, 3, 5, 7, 9.

A security alarm needs a code of four digits that includes only odd values

In the first position of the code is 1 digit from 5 odd digits.

In the second position of the code is 1 digit from 4 digits left.

In the third place it is 1 from 3 digits left

And the last fourth position is 1 from 2 odd digits left

Now we can generate 5: 4: 3: 2 = 120 distinct four-digit code only with odd different numbers in total.

Likewise we can count how much of different codes you can generated from all digits

In the first position of the code it is 1 digit from 10 digits,

In the second position of the code it is 1 digit from 9 digits left,

In the third place it is 8 digits left

And the last fourth position it is 7 digits left.

Now overall you can generate 10:9:8:7 = 5040 that contains different four-digit code by considering different digits.

So, the probability is

[tex]Pr=\dfrac{120}{5040}[/tex]

[tex]=\dfrac{1}{42}[/tex]

[tex]\approx 0.02381 .[/tex]

ANSWER:

D = 0.02381

Step-by-step explanation:

Just took the exam :)

but basically, math. (edg 2020)

Answer:

4

Step-by-step explanation:

1-(-3)=4

rise is 4

Answer:

It is 4 units. You can count how many units the bottom (horizontally) of the blue triangle is to get the run.

Answer:

11.7046999

Step-by-step explanation:

using the distance formula (d=√(x₂ -x₁)² + (y₂-y₁)²), we can plug in the two points to find the distance between them:

d=√(6-(-5)² + (0-4)²

d=√(11)²+ (-4)²

d=√121+16

d=√137

d approximately equal to (≈) 11.7046999 or 11.7 or 11

Answer:

Option (B)

Step-by-step explanation:

By using the property of a triangle → " Sum of interior angles of a triangle is 180°"

Therefore, (4x - 40) + (x + 20) + x = 180°

(4x + x) + (-40 + 20) = 180°

5x - 20 = 180

5x = 180 + 20

5x = 200

x = 40

Therefore, value of x will be 40.

Option (B) will be the correct option.

2 liters of paint / 1/3 liter  per wall = 2 x 3/1 = 6/1 = 6 walls

Answer:

Base of parallelogram= 2x+3

Height of parallelogram=3x-2

Area=b*h

=(2x+3)(3x-2) = 6x^2-4x+9x-6= 6x^2+5x-6

If x=30,

6*(30)^2+5*30-6=5400+150-6=5544

Step-by-step explanation:

Answer:

(-9, 0)

Step-by-step explanation:

To find the midpoint of the segment, we use the mathematical formula below;

(x,y) = {(x1+x2)/2 , (y1+y2)/2}

From the question;

(x1,y1) = (10,16)

(x2,y2) = (-28,-16)

Substituting these values into the equation we wrote above, we have;

(x,y) = (10-28)/2 , (16-16)/2

(x,y) = (-18/2, 0/2) = (-9,0)

Answer:b

Step-by-step explanation:

AB should be rotated by 180° or 360°.

Rotation can be defined as the motion of an object around an axis. It is a type of transformation that includes every point of a figure and rotates it by a specific number of degrees around a given point in a particular direction.

So, according to the given figure, if rotate the line AB, 180° clockwise or 360° clockwise, it will lie on AE.

Hence, AB should be rotated by 180° or 360°.

Learn more about rotations, click;

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Answer: B.) 0.5mi

Step-by-step explanation:

Measured value = 953 mi

The greatest possible error in a measurement is defined as half the precision unit adopted when taking the measurement.

Therefore, for a measured value of 953mi;

The precision unit adopted is 1. As the measurement ignored values after the last unit value.

Therefore ; half the precision unit = 1÷ 2 = 0.5mi

The value 953 mi could be any number between:

952.5 mi to 953.4

952.5 could be rounded up to 953

953.4 could be rounded down to 953

952.5 - - - - 953 - - - - - 953.5

+0.5 - - - - 0.5

Answer:

c.5p

Step-by-step explanation:

we know that p + 4p can be simplified as 5 p.

Therefore when compared if theses 2 are equal or not , p+4p=5p

we can simply add p+4p(as p is 1p) which gives 5 p

Answer:

5p

Step-by-step explanation:

Answer:

pentagon has the sum of interior angles as 540

Step-by-step explanation:

i hope this will help you :)

Answer:

pentagon

Step-by-step explanation:

The sum of the interior angles of a triangle (in a plane) is 180°, the sum of the interior angles of a quadrilateral is 360°, the sum of the interior angles of a pentagon is 540°, the sum of the interior angles of a hexagon is 720°, and in general, the sum of the interior angles of an n-gon (a polygon with n sides) is 180°× (n-2).

JUST SOME EXTRA POINT YK

Answer:

12

Step-by-step explanation:

An isosceles triangle are three sides of two sides being equal in lengths.

If that is the case, the two opposite slanting sides which are equal, must be longer. Invariably, the third side is 12.

The length of the third side of an isosceles triangle will be [tex]12[/tex] .

An isosceles triangle is the one which have two equal sides.

We have,

One side [tex]=2[/tex]

Second side [tex]=12[/tex]

So,

We know that,

In this condition,

Length of the third side should be [tex]12\ cm[/tex] Because if we take third side as [tex]2[/tex] cm then

The sum of two sides [tex]= 2+12= 14 cm[/tex]  

So,

[tex]2 < 12 < 14[/tex]

Hence, we can say that the length of the third side of an isosceles triangle will be [tex]12[/tex] .

To know more about an isosceles triangle click here

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Answer:

11.5% loss

Step-by-step explanation:

Discount = 25%

SP= 1425

MP= CP+18%

Profit or loss% - ?

---------

SP= MP- 25%= MP*0.75= 1425

MP= 1425/0.75= 1900

MP= CP+18%= CP*1.18

CP= MP/1.18= 1900/1.18 ≈ 1610.17

SP< CP, so there is loss

Loss%= (1610.17- 1425)/1610.17*100%= 11.5%

Answer:

p - 120.00 = 56.74; p = $176.74.

Step-by-step explanation:

Out of the two equations, p - 120.00 = 56.74 would make the most sense. That is because it means that his paycheck minus the 120 that he deposited into savings is equal to the remaining balance.

We solve p - 120.00 = 56.74 by adding 120 to both sides.

p - 120 + 120 = 56.74 + 120

p = 176.74.

So, Zack got paid $176.74. That's a lot of money!

Hope this helps!

Answer: y-2=1/4(x-1)

Step-by-step explanation:

The formula for point-slope is y-y₁=m(x-x₁). Since we are given the slope m, we can fill that in. We are also given the point (x₁,y₁). We can also fill that in.

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

Answer:

look below:

Step-by-step explanation:

Answer: See attachment - hopeful it helps -  

I will update post once I get it back --

Step-by-step explanation: Kindly give me brainly :)

Answer:

so x=3

Step-by-step explanation:

-28=7(x-7)

opening the brackets by multiplying

-28=7x-49

adding 49 on both sides

-28+49=7x-49+49

21=7x

dividing 7 on both sides

21/7=7x/7

x=3

i hope this will help you :)

Answer:

-28=7(x-7)

First expand the terms on the right side

That is

-28 = 7x - 49

Group like terms

7x = -28 + 49

7x = 21

Divide both sides by 7

7x/7 = 21 /7

x = 3

Hope this helps

Answer:

B. 40

Step-by-step explanation:

She starts with 46 and sells half of them

That leaves her with 23 stamps left.

She then buys 17 more, 23 + 17 is 40

Answer is B

Answer:

B. 40 stamps

Step-by-step explanation:

We know that she sold half of her stamps. She started with 46 stamps.

First, find 1/2 of 46.

Multiply 1/2 and 46, or divide 46 by 2.

1/2 *46= 23

46/2=23

She sold 23 stamps, and was left with 23 stamps.

Then, she bought 17 more. If she bought more, she added to the amount she already had.

Therefore, we can add 23 and 17.

23+17=40

She has 40 stamps now.

Answer:

6/18

Hope this helps :))

Answer:

a. 1/3

b. 7/9

Step-by-step explanation:

its adding and reducing the number you get in the fraction

a is 6/18 reduced

b is 14/18 reduced

Answer:

Step-by-step explanation:

Imagine the clock as a normal circle, with the minute hand as its radius.

a. Here, we are asked for the circumference of a small arc.

Find the circumference of whole clock:

pi x r x 2 = 3.14 x 2.8 = 8.792

Now calculate the distance in just that section of the clock

36/720 x 8.792 = 1/20 x 8.792 = 0.4396

Given that a vehicle travels 25 miles in 2 hours, determine the average speed of the vehicle in miles per hour.

Work:

In order to find the average mph of the vehicle, you have to divide the distance the vehicle travels in a certain period of time by that amount of time.

So, in this case, the vehicle traveled 25 miles in 2 hours, so you would divide 25 by 2.

25/2 = 12.5

That means, the vehicle is traveling at a speed of 12.5 mph.

Thus, the average speed of the vehicle is 12.5 miles per hour (mph).

Answer:

(0,-9)

Step-by-step explanation:

Well first we need to solve the rowing eqation by combining like terms and separating x.

[tex]3x - 9 = 4x - 9[/tex]

So let’s do -3x

-9 = x -9

+9

x = 0.

So if x is 0 we can plug that in one of the equations.

y = 4(0) - 9

y = -9

So the solution where the 2 lines meet is at (0,-9)

For more proof look at the image below.

Answer:

4/21

Step-by-step explanation:

It should be a porpotion

Answer:

C. [tex] AB = 5\frac{5}{7} [/tex]

Step-by-step explanation:

When two polygons are considered similar, the ratio of their corresponding sides would also be equal.

Since ∆ABC and ∆ADE are similar, [tex] \frac{AE}{AC} = \frac{AD}{AB} [/tex]

[tex] \frac{7}{4} = \frac{10}{AB} [/tex]

Cross multiply

[tex] 7*AB = 10*4 [/tex]

[tex] 7*AB = 40 [/tex]

Divide both sides by 7 to find AB

[tex] \frac{7*AB}{7} = \frac{40}{7} [/tex]

[tex] AB = \frac{40}{7} [/tex]

[tex] AB = 5\frac{5}{7} [/tex]

Answer:

2400

Step-by-step explanation:

Area of a trapezoid: (b₁ + b₂) / 2 * h

= (70 + 50) / 2 * 40

= 60 * 40 = 2400

Answer:

y = 5.2

Step-by-step explanation:

x : y  =  5 : ?

Given that x = 5

So,

Condition:

y = 20% + x

y = [tex]\frac{1}{5} + 5[/tex]

y = [tex]\frac{26}{5}[/tex]

y = 5.2

Answer: 5:6

Step-by-step explanation:

Assume, x is 100

So, y is 20% more = 120

100:120 = 5:6

So, the ratio of x:y = 5:6

Answer:

124

Step-by-step explanation:

First subtract 6 to both sides.

[tex]\sqrt[5]{249-2x} = 1[/tex]

Then take the 5th power of both sides to remove the radical.

[tex]249-2x=1^5[/tex]

Which is essentially:

-2x = 1 - 249

-2x = -248

Divide both sides by -2

x = 124

And there ya go :)

Answer:

x = 124

Step-by-step explanation:

[tex]6 + \sqrt[5]{249 - 2x} = 7 \\ \sqrt[5]{249 - 2x} = 7 - 6 \\ \sqrt[5]{249 - 2x} = 1 \\ {\sqrt[5]{249 - 2x} }^{5} = {1}^{5} [/tex]

[tex]249 - 2x = 1 \\ - 2x = 1 - 249 \\ - 2x = - 248 \\ \frac{ - 2x}{ - 2} = \frac{ - 248}{ - 2} [/tex]

[tex]x = 124[/tex]

Answers:

Gender = categorical, nominal variable

Sleep length = numerical, continuous

Bedtime = categorical, ordinal

Number of countries visited = numerical, discrete

Scale of dreading semester = categorical, ordinal

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

Explanation:

Gender is categorical because there are two categories or labels, male or female. It is nominal because we simply attach names to each label and we can't sort them or order them from highest to lowest. There is no ranking for gender.

Sleep length is numerical as it deals with numbers. I put continuous because someone could write 2.5 hours or 3.75 hours. If whole numbers are only allowed, then the variable would be discrete.

The bedtime portion is categorical as each time slot is a category. Like with the first part, they are simply labels. We can order them however from earliest to later on, which is why this variable is ordinal.

The number of countries visited is numeric as expected, and it's also discrete because we can't visit 0.1 of a country. By "visit", I mean step foot in any part of the country for any length of time. It does not mean you have to explore every square inch of the territory.

The last part is categorical and ordinal. The scale ranking is ordered for us from 1 to 5. Despite the fact we have numbers here, the data is not numerical as the numbers 1 through 5 represent labels of "very little" through "a lot".

Answer:

work is shown and pictured