Dadas as sequências identifique quais são PA e a sua razão (r): Lembre-se: para ser uma PA a diferença entre dois termos consecutivos são sempre os mesmos e é chamada de razão (r). A) (1, 1, 1, 1, ...) B) (-1, 0, 1, 2,...) C) (12, 48, 84, 120,...) D) (101, 202, 303, 404,...)

Answer:

a) 2 -2 -4 -4 -2 2 8

b) graph B

c) x = -2.55 or x=1.55

Step-by-step explanation:

a) just fill in the x values

b) look at x=0, you'll find y=-4. Only graph B goes through (0, -4)

c) estimate where graph B passes through the x axis.

Answer:

1. sum of term = 465

2. nth term of the AP = 30n - 10

Step-by-step explanation:

1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore

sum of term = n/2(a + l)

where

a = 1

l = last term = 30

n = number of term

sum of term = 30/2(1 + 30)

sum of term = 15(31)

sum of term = 465

2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......

The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;

a = 20

d = 30

nth term of an AP = a + (n - 1)d

nth term of an AP = 20 + (n - 1)30

nth term of an AP = 20 + 30n - 30

nth term of the AP = 30n - 10

The nth term  formula can be used to find the next term progressively.  where n = number of term

The sequence will be 20, 50, 80, 110, 140, 170, 200..............

Answer:

Area is 113.097

Step-by-step explanation:

Answer:

113.10 ft²

Step-by-step explanation:

Area of the circle is equal to πr².

Where r is the radius. The radius of the circle is 6 feet.

π(6)²

36π = 113.097336

The area of the circle is 113.10 ft² approximately.

Answer: The answer is 50980

Step by Step Explanation:

First, temporarily assume that two letters with I are different, call them i 1 and i 2. Three "a" are also called as a 1, a 2 and a 3, and two h as h 1 and h 2. Then there are 11 * 10 * 9 * 8 * 7 = 55440 possible "words" (one of 11 is the first letter, 10 is the second, and so on). But because equal letters do the same "words," some "words" were counted twice or more. We have to deduct the number of "parasitic" counts although it is fairly small. The words that counted more than once are divided into many disjoint sets: 1) with two I but without repetitions of a and h; 2) with two h but without repetitions of a and I 3) with two a but without repetitions of I and h; 4) with three a but without repetitions of I and h; 5) with two I and two a's; 6) two i's and tree a's; 7) two i's and two h's 8) two h's and two a's; 9) two h's and one tree. The first category includes terms counted twice and its scale is (5 * 4) * (6 * 5 * 4) = 2400 (the first I stays at one of the 5 positions, the second at one of the 4, then 11-2i-1h-2a=6). So we have 2400/2 = 1200 to subtract. Group 2 gives -600 as well, and group 3 also. Group 4 gives * (6 * 5) = 1800 (5 * 4 * 3), and the terms are counted 6 times, -300. Groups 5, 7 , 8: 5 * 4 * 3 * 2 * 6 = 720 and counted four times, therefore -180. Group 6 and 9: 5 * 4 * 3 * 2 * 1 = 120, with 12 counts, -10. Altogether -(1200 * 3 + 300 + 180 * 3 + 10 * 2) = -4460.The answer will be 55440-4460 = 50980.

The number of permutations which are possible with the five letters of HAWAIIAN is 1488.

It is the number of times a word can be arranged in a defined order. to calculate the number of permutations we often use nPr formula which states n!/(n-r)!

We are total 12 letters in the word hawaiian and letters in the alphabet for which permutations need to be calculated are 5. So the number of permutations are:

12P1+12P3+12P2+12P1+12P1

=12!/11!+12!/9!+12!/10!+12!/11!+12!/11!

=3*12*11!/11!+12*11*10*9!/9!+12*11*10!/10!

=36+1320+132

=1488

Hence the number of permutations in the word hawaiian for the 5 letters is 1488.

Learn more about permutations at https://brainly.com/question/1216161

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Answer:

The smaller exterior angle is the exterior angle in the vertex P, and it measures 90°

Step-by-step explanation:

The sum of the internal angles of a triangle needs to be 180 degrees, so we have two equations:

[tex]mP = mQ + mR[/tex]

[tex]mP + mQ + mR = 180\°[/tex]

Substituting [tex]mQ + mR[/tex] by [tex]mP[/tex] in the second equation, we have:

[tex]mP + mP = 180\°[/tex]

[tex]mP = 90\°[/tex]

The other two angles need to be lesser than mP, and the exterior angle is the supplement of the internal angle, so the bigger the internal angle, the smaller the exterior angle.

So if the bigger internal angle in this triangle is mP, the smaller exterior angle is also the angle in the vertex P:

[tex]exteriorP = 180\° - mP[/tex]

[tex]exteriorP = 90\°[/tex]

Answer: no it’s not

Step-by-step explanation:

it’s a square

Answer:

37.68 ft

Step-by-step explanation:

d = 2r = 2*6 = 12

so C = 3.14 * 12 = 37.68 ft

Answer:

Step-by-step explanation:

Not liking rock mostly doesn't effect not liking just rap, since half like both rock and rap.

Though, there are 2 more people that like just rock compared to just rap, so you are more likely to like just rock.

Additionally, if you don't like rock, there is a 31.4 % that you don't like rap as well, since 17 people like neither.

Answer:

There are 640 pigs after 5 years.

Step-by-step explanation:

if it doubles each year the first year it doubles it is 40 then the second 80 third 160 fourth 320 and fifth 640.

graph it by having the X axis the years and the Y axis do it by 40s

Answer:

Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

7-24-25

7² + 24² = 25²

49 + 576 = 625

625 = 625

9-40-41

9² + 40² = 41²

81 + 1600 = 1681

1681 = 1681

Answer: See Explanation

Step-by-step explanation:

Pythagoras' theorem is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex].

So [tex]7^{2}[/tex] (49) + [tex]24^{2}[/tex] (576) = [tex]25^{2}[/tex] (625)

Same goes for the other one. It is always the smallest number squared (smallest side of triangle) + the middle number squared (middle length side of triangle, = the biggest side/number squared.

Answer:

12 ft² :)

Step-by-step explanation:

Area of a parallelogram = base * height

4 * 3 = 12

Area of the parallelogram = 12 ft²

Answer:

first option

Step-by-step explanation:

I don't know how to explain

Answer:

The slope of the line will be ZERO.

From the question given above, we are told that when the freezer is working perfectly that the temperature will remain constant over time. This means that if the graph of temperature and time is drawn, the slope of the graph will be constant from one point of the graph to the other, which means that the values will cancel each other out and will be zero.

Answer:

5

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

k

Answer:

hope this helps, take care, stay safe, keep smiling

Step-by-step explanation:

i see 40 squares

Answer:

A is the answer

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

We'll write each one of these statements into an algebraic equation. The word "is" means "=", the words "more than" mean "+", and "difference" means subtraction. x will be one number, and y will be the other number. The first sentence, then, in an algebraic equation, is

x = 2y + 7

The second equation, then, is

x - y = 22

Since we know from the first equation what x is equal to, we will sub in what x equals into the second equation in place of x:

2y + 7 - y = 22 and

y + 7 = 22 so

y = 15.

Sub that in for y to solve for x:

x - 15 = 22 so

x = 37

Answer:

its 37

Step-by-step explanation:

Answer:

area=πr√{h^2+r^2}

area=704cm^2, Height(h) =25cm

therefore,

by solving, πr√{h^2+r^2}=704cm^2

you will get value of r.

now, volume=πr^2×h/3

putting all values answer will come

Step-by-step explanation:

Answer:

8 - 6x + 10x - 15 = 20 -5x

8 + 4x - 15 = 20 - 5x

8 - 15 = 20 - 9x

6 = 20 - 9x

-14 = -9x

divide by -9  .736

Step-by-step explanation:

The solution of the equation 2 (4 – 3x) + 5 (2x – 3) = 20 – 5x will be 3. Then the correct option is D.

The solution of the equation means the value of the unknown or variable.

The equation is given below.

2 (4 – 3x) + 5 (2x – 3) = 20 – 5x

Simplify the equation, we have

2 (4 – 3x) + 5 (2x – 3) = 20 – 5x

      8 – 6x + 10x – 15 = 20 – 5x

                              9x = 27

                                x = 3

Then the correct option is D.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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Answer:

1665

Step-by-step explanation:

This is AP, where:

The sum of all two - digit natural numbers which are divisible by 3 is 1665

Answer:

B (10, 5)

Step-by-step explanation:

We simply set the midpoint equal to each of its respective variable equation in [tex]m = (\frac{x1+x2}{2},\frac{y1+y2}{2} )[/tex]

Step 1: Solve x

4 = (-2 + x)/2

8 = -2 + x

x = 10

Step 2: Solve y

3 = (1 + y)/2

6 = 1 + y

y = 5

Put it in coordinates and we have our final answer!

Answer:

B(10,5)

Step-by-step explanation:

You already have A and M so you just find the difference and add it to M.  That is my way of getting the answer.  I am taking the Honors Geometry class in 6th grade.  

Answer:

45 people prefered coffee, 81 people prefered tea. A total of 126 people were surveyed.

Step-by-step explanation:

Let t be the people who prefer tea, and let c be the people who prefer coffee.

The ratio between tea and coffee is 9:5, thus we have t/c=9/5. Cross products  give us 5t=9c.

Also, we have 36 more people prefer tea than coffee, so we have c+36=t

Thus we have: 5(c+36)=9c

5c+180=9c

180=4c

c=45

c+36=t

45+36=81

Answer: B) increasing for x < -4/3 and x > 4/3

                   decreasing for -4/3 < x < 4/3

Step-by-step explanation:

Graph the equation and follow the curve from left to right. If you are going up, it is increasing. If you are going down, it is decreasing.

Refer to the image below. Red is increasing. Blue is decreasing.

The vertices are at: x = -4/3 and x = 4/3

Answer: 0.16

Step-by-step explanation:

Given that the run times provided are normally distributed ;

Mean(x) of distribution = 3 hours 50 minutes

Standard deviation(s) = 30 minutes

The probability that a randomly selected runner has a time less than or equal to 3 hours 20 minutes

3 hours 20 minutes = (3 hrs 50 mins - 30 mins):

This is equivalent to :

[mean(x) - 1 standard deviation]

z 1 standard deviation within the mean = 0.84

z, 1 standard deviation outside the mean equals:

P(1 - z value , 1standard deviation within the mean)

1 - 0.8413 = 0.1587

= 0.16

Answer:

A. 16%

Step-by-step explanation:

Hope that this helps. peace and love

Answer:

x=3, y=2

Step-by-step explanation:

since y =2x-4, we name it as equation I

and the second system as equation 2.

we substitute equation 1 into 2 and we have;

4x+3(2x-4)=18

4x+6x-12=18

10x=18+12

x= 30÷10

x=3.

now, substituting x=3 into the y equation , we have

y= 2(3)-4

y=2.

therefore, x=3, y=2.

...if I was to plot this I would use the equation intercepts. Some people might use the slope whichever is okay for you. but I like to use the intercepts...(x,y)

so first, to find the intercept of equation 1;

we have,

y=2x-4

we set x= 0 and we get .y=2(0)-4=-4, we have (0,-4)...x=0, y=-4 for intercept

we set y to 0 to get the intercept for x...

we have, 0=2x-4=2..we get (2,0)...x=2, y=0 for the second intercept.

we do same for the second equation...

4x+3y=18...

so when doing this set x to 0 to get y intercept that is (0,y) and set y= 0 to get the x intercept that is (x,0)... then you can plot the points on your graph...

the intercept of the two system after you've plotted it on your graph should give you the solution we have that is x=3, y=2.

Answer:

The required probability is:

[tex]\dfrac{1}{9}[/tex]

Step-by-step explanation:

It is given that Emma has two fair dice.

To win, she needs to score 5 using both dice.

Cases, where she can have 5:

{(1,4), (4,1), (2,3), (3,2)}

Let the event be A that she gets a score = 5

Total number of favorable cases, n(A) = 4

Total number of cases for throw of 2 dice, n(S) = 36

These are:

{

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

}

Formula for probability of an event E  is given as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

or

[tex]P(E) = \dfrac{\text{n(E)}}{\text {n(S)}}[/tex]

Using the above formula, the required probability:

[tex]P(A) = \dfrac{\text{n(A)}}{\text {n(S)}}\\\Rightarrow \dfrac{4}{36}\\\Rightarrow \dfrac{1}{9}[/tex]

So, the required probability is [tex]\dfrac{1}{9}[/tex].

Answer:

67°

Step-by-step explanation:

Given:

Height of helicopter from the ground, x = 665 feet

Distance from the helicopter to the girl's line of sight(opposite) = 665ft - 5 ft = 600 ft

Horizontal distance(adjacent) =  280 ft

To find the angle of depression, use the formula:

[tex] tan y = \frac{x}{y} [/tex]

Solve for y:

[tex]y = tan^-^1 (\frac{x}{y})[/tex]

[tex]y = tan^-^1 (\frac{660}{280}) = 67.01[/tex]

Angle of depression = 67°

Answer:

67 degrees

Step-by-step explanation:

Answer:

Read below.

Step-by-step explanation:

x will represent the number

[tex]\frac{1}{2} x-7=1\frac{5}{10} \\\\\frac{1}{2} x-7=1\frac{1}{2}\\\\x-14=3\\\\x=17[/tex]

I don't know you answer choices because they don't really make sense but change them and I'll edit this. Or it could already be one in my working.

Answer:

The answer is 7

because 40 times 7 is 280 then we double 7 to 14 because remember it says he paid 2 times his hourly rate after 40 hours so then we multipy 14 times 10 and it will give you 140 so then u add them to get his total of $420